' I did he heard diamster of 76 ice. Whidh meekureman it dosef to the draunference of the

Answers

Answer 1

Since the diameter of this circle is 76 inches, a measurement which the circumference of this circle has include the following: C. 238.64 inches.

How to calculate the circumference of a circle?

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.

Substituting the given parameters into the circumference of a circle formula, we have;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 76

Circumference of circle, C = 238.64 inches.

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Complete Question:

The diameter of a circle is 76 inches. Which measurement does the circumference of this circle have?

A. 123.45 inches.

B. 438.65 inches.

C. 238.64 inches.

D. 338.64 inches.


Related Questions

click on photo! help!

Answers

Answer:

The answer is D) 5, the number of eggs on the charts never exceeds that number.

D is the answer for it

Order the following number from greatet to leat. When entering fraction pleae ue "/". For example 1/2 or 3 2/3

-0. 44, -3/8, -0. 5, -2/5

Answers

The order from greatest to least is -3/8> -2/5>-0.44>-0.5

To compare all the numbers, we first convert the numbers to their fractional equivalent.

Therefore, -0.44= -44/100

And -0.5= -5/10

Now, we covert all the numbers to get the same denominator in all the numbers, therefore, let the denominator be 100

Therefore, we multiply -3/8 with 12.5 in both numerator and denominator to get, -37.5/100

Then, we multiply -2/5 with 20 in both numerator and denominator to get, -40/100

and, we multiply -5/10 with 10 in both numerator and denominator to get -50/100

Therefore, with these resultant value we can say that, -37.5/100> -40/100 >-44/100> -50/100

Thus, -3/8> -2/5>-0.44>-0.5

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Mr. Hurd buys a trampoline for his kids. The cost of the trampoline is $699.99. He gets the items for $429.99. What is the percent of discount? Round to the nearest percent.​

Answers

Answer:

Mr. Hurd received a discount of 57% on the trampoline. The cost of the trampoline was $699.99 and he got it for $429.99, resulting in a discount of 57% when rounded to the nearest percent.

Step-by-step explanation:

the scatter plot shows a regression line of units demanded and price. if the demand is for 35 units what would be the predicted price per unit?
A)$20
B)$23
C)$27
D)$32

Answers

According to the following graph, we have identified that if the demand is for 35 units then the predicted price per unit is $27.

The term graph in math is defined as pictorial representation of algebraic equation.

Here we have given the following graph and here  we also know that the scatter plot shows a regression line of units demanded and price.

Here we need to know the definition of regression line, which means the relationship between two variables. And it is applied in scenarios where the change in the value of the independent variable causes changes in the value of the dependent variable.

Based on these definition, here we have the relationship between the units demanded and the price of those units.

Now, by looking into the given graph, we have identified that if the demand is for 35 units, then the units price is $27.

Therefore, option (c) is correct.

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Please help me find the shaded area!

Answers

Answer:

216

Step-by-step explanation:

first multiply 4by6 to get that area we will call that a

then 12 by 20 to get that area we will call that b

the shaded area is a's area minus B's area

(12*20)-(4*6)

240-24

216

Answer:

216 in²

Step-by-step explanation:

(12)(20) - (4)(6) = 240 - 24 = 216

65 POINTS TO WHO EVER ANSWERS CORRECT
Kim and her friends watched the server making smoothies. The table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.


Mangos Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz


Which statement is correct based on the data?

1. The ratio of smoothie size to mangos used for Kim is 1:8, and the ratio of smoothie size to mangos used for Bri is 3:24.

2. The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

3. The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim.

4. The ratio of smoothie size to mangos used for Bri is 64:3, and the ratio of smoothie size to mangos used for Angela is 64:4.

Answers

The correct statement based on the data is,

⇒ The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

Option 2 is true.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The given table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.

       Mangos Used    Smoothie Size

Kim         1                         8 oz

Bri           3                        24 oz

Angela    4                        32 oz

Now, By definition of ratio, we get;

The ratio of smoothie size to mangos used for Bri is,

⇒ 24 : 3

⇒ 8 : 1

And, The ratio of smoothie size to mangos used for Angela is,

⇒ 32 : 4

⇒ 8 : 1

Thus, The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

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I’m doing homework and this may be easy for others but I’m not that good at learning quickly. Take ur time it’s fine. Please help

Answers

the statement that "you walk at a constant rate" tells us that the relationship is indeed proportional, namely, there's a value in the input that's consistent or common yielding the output.

Check the picture below.

to get the equation of any straight line, we simply need two points off of it, for the distance "from school" table, let's use those two points in that table

[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{0.5})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{1.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1.5}-\stackrel{y1}{0.5}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{10}}}\implies \cfrac{1}{20}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0.5}=\stackrel{m}{\cfrac{1}{20}}(x-\stackrel{x_1}{10})\implies y-0.5=\cfrac{1}{20}x-\cfrac{1}{2} \\\\\\ y=\cfrac{1}{20}x-\cfrac{1}{2}+0.5\implies y=\cfrac{1}{20}x-\cfrac{1}{2}+\cfrac{1}{2}\implies \boxed{y=\cfrac{1}{20}x}[/tex]

Will Give Brainliest!!! 1. For the circle with equation , answer each question.

(a) What are the coordinates of the center?


(b) What is the radius of the circle?


(c) What is the diameter of the circle?

Answers

a) The coordinates of the center is (2 ,-3)

b) The radius of the circle is 3

c) The diameter of the circle is twice the radius = 2(3) = 6

Now, According to the question:

a) The equation of a circle is given by

[tex](x-h)^2 + (y-k)^2 =r^2[/tex]

where (h, k) is the center and r is the radius

(x - 2)² + (y+3)² = 9

(x - 2)² + (y- -3)² = 3^2

The coordinates of the center is (2 ,-3)

b) The radius of the circle is 3

c) The diameter of the circle is twice the radius = 2(3) = 6

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The complete question is this:

For the circle with equation (x - 2)² + (y+3)² = 9 , answer each question.

(a) What are the coordinates of the center?

(b) What are the radius of the circle?

(c) What is the diameter of the circle?

Write a multiplication expression using the following clues one factor is a two digit number between one and ten one factor is a two digit number between 1 and 10 but different from the first the product is greater than 8 but less than 10

Answers

first expression = 1×2, 1×1, 1×3, 1×4, 1×5, 1×6, 1×7, 1×8, 1×9, 2×2, 2×3, 2×4, 3×2, 3×3, 4×2 and second expression = 1×9

what is expression?

In mathematics, an expression is a statement that represent the method of mathematical operation in a symbolic form. An expression is developed based on numerical terms or both numerical and variable terms along with operator or signs.

What is the multiplication expression stated in the question?

it is stated that one factor is a two-digit number between one and ten.

the multiplication expression can be 1×2 , 1×1, 1×3, 1×4, 1×5, 1×6, 1×7, 1×8, 1×9, 2×2, 2×3, 2×4, 3×2, 3×3, 4×2

In the next, the multiplication expression for 2nd statement:

one factor is a two-digit number between one and ten and their product is greater than 8 and less than 10

1×9

the above is greater than 8 and less than 10.

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A= v-u/ t

v = 37. 6 correct to 3 significant figures.

u = 11. 3 correct to 3 significant figures.

t = 8. 4 correct to 2 significant figures.


Work out the upper bound for the value of a.

Show your working clearly

Answers

The upper bound of a is 3.13.

Upper Bound

The smallest amount that would round up to the following anticipated value is the upper bound.

Significant Figures

The number of digits that contribute to a value's level of precision is known as significant figures and is typically found in measurements. As soon as a digit is non-zero, we begin calculating significant numbers.

Given in the question

v = 37. 6

u = 11. 3

t = 8. 4

To find:- a = (v - u)/t

Solution: -

Since finding the upper boundary for a

Upper boundary =  (upper v - lower u) / (lowest t)

So putting the value values of v, u, t in we get the value

a = (37.6 - 11.3) / 8.4

Therefore the value of a = 3.13

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For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Use the image below for Part A, Part B, and Part C.

Two triangles: GHI and JKL
Both have one similar angle but different side lengths

Part A: Sharon says the triangles above are similar using the AA Postulate. Is she correct?

Part B: Explain the answer from Part A.

Part C: If HI=7, find KL. Show your work.



Please Help!

Answers

The triangle given is similar to using SAS. Sharon is wrong and the value of KL is 14.

What are the triangle similarity criteria?

there are three types of triangle similarity criteria known. those are

AA: Two pairs of corresponding angles are equal.SSS: Three pairs of corresponding sides are proportional.SAS.: Two pairs of corresponding sides are proportional and the corresponding angles between them are equal.

Given, two Triangle ΔGHI and ΔKLJ. Also, we can see in the figure That ratio of there two known sides is equal and they both have a similar angle.

the ratio of two sides of given triangles

4/8 and 5/10

hence, the ratio of both the side is equal that is 1/2

from the SAS theorem:

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

thus, given triangles are similar.

Since the Ratio of all three sides would be equal.

hence, HI / KL = 1/2

the third side of the triangle JKL, KL is 14.

Therefore, The given triangle is comparable to using SAS. Sharon is mistaken; The value of KL is 14.

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Which of the following equations describes the nth term for the sequence 3/5,1/5,1/15,1/45,\cdots2
A. an = 1/3 (3/5)n-1
B. an = 1/3 (3/5)n
C. an = 3/5 (1/3)n-1
D. an = 3/5 (1/3)n

Answers

The equation which describes the nth term for the sequence 3/5,1/5,1/15,1/45,\cdots2 is  an = 3/5 (1/3)n-1 , which is option C.

We use the formula an=a1+(n−1)d an = a1 + (n−1)d , to calculate the nth term of a given sequence. The 'n' here  represents a number.

Using the nth term we can any number on the sequence which allows us to locate any term in a series.

By substituting different values for the term number, we can create a series utilizing the nth term (n).

To find the tenth term we use the sequence formula and substitute a random number in place of n.

Example if we need to find the first 50 term then we will substitute n as 50.

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Radicals
How do I Simplify
(4√5-3)(√5-2)


Answers

Answer:

26 - 11√5

Step-by-step explanation:

(4√5-3)(√5-2)

= 4√5 (√5-2) -3 (√5-2)

= 4√5 √5 + 4√5 ⋅ -2 -3 (√5-2)

= 4√5 √5 + 4√5 ⋅ -2 -3√5 -3 ⋅ -2

= 26 - 11√5

If you can, please give me a Brainliest; thank you!

Liam Brought 5/8 Pound of cherries. Harrison Brought more cherries than Liam. Which could be the amountOf cherries that Harrison brought ?

Answers

The amount of cherries bought by the Harrison is 62.5 pounds.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

The amount of cherries bought by the Harrison should be more than the cherries bought by the Liam which is 5/8. Thus, The amount of cherries bought by the Harrison is more than the 5/8 or 62.5 pounds of cherries percent.

The cherries bought by the Liam is 5/8 pounds

The cherries bought by the Harrison is more than the Liam.

As in the problem the number of cherries bought Harrison (let) should be more than the cherries bought by the Liam (let ). Therefore,

H > L

As we know that the number of cherries bought by the Liam is 5/8 pounds. Keep the value of  in the above equation, we get,

H > 5/8

This equation can be rewritten in the percentile form as,

h > (5/8) * 100 %

h > (5/2) * 25 %

h > 62.5 %

Hence, The amount of cherries bought by the Harrison is more than 5/8 pounds or 62.5 pounds of cherries percent.

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Help please with this maths

Answers

The radius of the sphere is 9 cm.

What is a sphere?

It is a three-dimensional figure where the volume is given as:

The volume of a sphere is 4/3πr³.

We have,

The surface area of a sphere = 324π cm²

4πr² = 324π

r² = 324/4

r² = 81

r = √81

r = ±9

r = -9 cm (rejected)

r = 9 cm

Thus,

The radius is 9 cm.

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Simplify (4s^5t^-7/-2s^-2t^4). Write your answer using only positive exponents. Evaluate any numerical powers.
I'LL NAME YOU BRAINLIEST

please help!! ​

Answers

In positive exponents, the simplified form of the above polynomial is s⁷/t¹¹.

What is polynomial?

A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Here,

=4s⁵*t⁻⁷/-2s⁻²*-2t⁴

=s⁷/t¹¹

The simplified form of given polynomial is s⁷/t¹¹ in positive exponents.

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All of Marcy's marbles are blue, red, green, or yellow. One third of her marbles are blue, one fourth of them are red, and six of them are green. What is the smallest number of yellow marbles

Answers

After solving, the smallest number of yellow marbles are 4.

In the given question, all of Marcy's marbles are blue, red, green, or yellow.

One third of her marbles are blue, one fourth of them are red, and six of them are green.

We have to find the smallest number of yellow marble.

The 6 green marbles and yellow marbles of the total marbles = 1 - (1/3) - (1/4)

The 6 green marbles and yellow marbles of the total marbles = 5/12

Now, suppose the total number of marbles is x

We know the number of yellow marbles is 5/12 x-6 and a positive integer.

Therefore, 12 must divide x

Trying the smallest multiples of 12 for x.

We see that when x = 12

We get there -1 yellow marbles, which is impossible.

However, when x = 24 here are

= 5/12 x - 6

= 5/12*24 - 6

= 4

So, the yellow marbles are 4 which must be the smallest possible.

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Solve for the missing side length in this triangle ​

Answers

Answer: C= 30

Step-by-step explanation:

A^2+B^2=C^2

C= √(B²+A²)

C= √(18²+24²)

C=30

let 24=p
18=b
x=h
then we know that
h^=p^+b^
x^=18^+24^
x^=324+576
x^=900
x=30
so x=30#

5. The hourly garage at BWI Airport costs $4 an hour with a maximum cost of $22 a day. The equation (ℎ)= { 4 , 0<ℎ≤1 8 , 1<ℎ≤2 12 , 2<ℎ≤3 16 , 3<ℎ≤4 20 , 4<ℎ≤5 22 , 5<ℎ≤24 represents the cost of parking for ℎ hours. a. How much does it cost to park for 45 minutes? b. How much does it cost to park for 2 hours? c. How long could you have parked if it cost you $16? d. List the domain and range for this situation.

Answers

It will cost $4 for 45 minutes and for 2 hours it will cost $8. If parked for 3 to 4 hours it will cost $16 for garage at BWI Airport.

What is the scope and domain?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the set of values it can take as input. After we enter an x value, the function outputs this set of values.

How are range and domain determined?

Graphs can be used to determine the domain and range of functions. The domain of a graph is made up of all the input values displayed on the x-axis because the term "domain" refers to the set of potential input values. The possible output values that make up the range are shown on y-axis.

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On a coordinate plane, a line is drawn from point L to point M. Point L is at (negative 4, 8) and point M is at (4, 8).
The rule DO,0.25 (x, y) → (0.25x, 0.25y) is applied to the segment LM to make an image of segment L'M', not shown.

The coordinates of L' in the image are
.

The coordinates of M' in the image are
.

The length, L'M', is
.

The slope of the original segment and dilated segment are
.

Answers

Answer:

L' = (-1,2)

M' = (1,2)

L'M' = 2

The slope of the original segment and dilated segment are both zero

Step-by-step explanation: just did it on edge!

When Bruce got his first job, he put $6,225 of his earnings into an investment account to save for retirement. The value of the account is predicted to double each decade.
Write an exponential equation in the form y=a(b)x that can model the predicted value of Bruce's investment account, y, x decades after starting the account.
Use whole numbers, decimals, or simplified fractions for the values of a and b

Answers

y = 6225 * 2^x
This equation uses the initial value of the account (6225) and the base of the exponent (2) representing the account will double in value every decade

The exponential function to model the predicted value of Bruce's investment account is

y = 6225 * 2^x.

What is an exponential function?

The formula for an exponential function is f(x) = a^x, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0.

here, we have,

we know that,

An exponential function is written in the form - y=a*(b)^x

Here, y is the function, a is the base value b is the rate and x is time period.

now, we have,

from the given information, we get,

This equation uses the initial value of the account (6225)

and the base of the exponent (2) representing the account will double in value every decade.

if, we have,

the predicted value of Bruce's investment account is y.

time period is, x decades after starting the account.

So, the exponential equation will be -

y = 6225 * 2^x.

Therefore, the exponential equation is .

y = 6225 * 2^x.

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in a right triangle, the two sides adjacent to the right angle are known as the

Answers

Answer:legs

Step-by-step explanation: I cannot give a explanation since it is simply math, anything adjacent to a right angle is called a leg.

Answer: the legs? or opposite and hypotenuse.

Step-by-step explanation:

A bag contains 2 snicker bars, 8 trix bars , and 5 crunch bars. A candy is chosen, replaced, then another is chosen, what is the probability of choosing a trix bar then a crunch bar?

Answers

The probability of choosing a trix bar then a crunch bar exists 8/45.

What is Probability?

Mathematics' field of probability deals with numerical assessments of how likely an event is to occur.

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

Probability = Number of favorable outcome / Number of total outcome

Given,

Number of snicker bars = 2

Number of trix bars = 8

Number of crunch bars = 5

Total number of candy bars = 2 + 8 + 5 = 15

8 trix, so picking a trix would be 8/15

5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3

Probability of both: 8/15 x 1/3 = 8/45

Therefore, the probability of choosing a trix bar then a crunch bar exists 8/45.

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The probability of choosing a trix bar then a crunch bar exists 8/45.

What is Probability?

Probability theory deals with numerical evaluations of the likelihood that an event will occur.

Probabilities are mathematical explanations of the likelihood that an event will occur or that a proposition is true. The likelihood of an event is represented by a number between 0 and 1, with 0 typically signifying impossibility and 1 typically signifying certainty.

A probability represents the likelihood or chance that a particular occurrence will take place. Probabilities can be expressed as ratios between 0 and 1, or as percentages between 0% and 100%.

Probability = Number of favorable outcome / Number of total outcome

Given,

Number of snicker bars = 2

Number of trix bars = 8

Number of crunch bars = 5

Total number of candy bars = 2 + 8 + 5 = 15

8 trix, so picking a trix would be 8/15

5 crunch bars, picking a crunch would be 5/15, which reduces to 1/3

Probability of both: 8/15 x 1/3 = 8/45

Therefore, the probability of choosing a trix bar then a crunch bar exists 8/45.

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What is the best approximation for the area of this figure?



21+14. 5π units²


21+7. 25π units²


10. 5+7. 25π units²


10. 5+14. 5π units²

Coordinate plane with axes labeled x and y. A closed figure is formed by two segments and a semicircle. A segment extends from negative 5 comma negative 2 to negative 5 comma 1. Another segment extends from negative 5 comma 1 to 2 comma 1. A semicircle extends from 2 comma 1 to negative 5 comma negative 2. What is the area of this polygon?







28. 5 units²


34. 5 units²


37. 5 units²


40. 5 units²

6 sided polygon on a coordinate plane with vertices at (negative 6, negative 2), (negative 5, 1), (negative 1, 4), (1, 1), (5, 3), and (1, negative 2)

Answers

1) The best approximation for the area of this figure is 21+14. 5π units².

2) The total area of the closed figure is 10.5 + 19.63 = 30.13 square units.

3) This is a hexagon with vertices at the specified coordinates on a coordinate plane.

FIGURE AND POLYGON

1) The best approximation for the area of this figure is 21 + 14.5π units². The area of a semicircle with a radius of 7 is 14.5π units², and the two segments form a rectangle with an area of 21 units². Adding these two values together gives 21 + 14.5π units².

2) This closed figure can be divided into two parts: a triangle and a quarter of a circle. The area of the triangle can be found using the formula for the area of a triangle (base times height divided by 2). The base of the triangle is the length of the segment from negative 5 comma negative 2 to negative 5 comma 1, which is 3 units. The height of the triangle is the length of the segment from negative 5 comma negative 2 to 2 comma 1, which is 7 units. So the area of the triangle is (3*7)/2 = 10.5 square units.

The area of the quarter of a circle can be found using the formula for the area of a circle (pi times the radius squared). The radius of the semicircle is the length of the segment from 2 comma 1 to negative 5 comma negative 2, which is 5 units. So the area of the quarter of the circle is (pi*5²)/4 = 19.63 square units.

So the total area of the closed figure is 10.5 + 19.63 = 30.13 square units.

3) A hexagon is a polygon with six sides and six angles. In this case, the hexagon is placed on a coordinate plane, with each of its vertices (or corners) located at specific x and y coordinates.

The coordinates provided are: (negative 6, negative 2), (negative 5, 1), (negative 1, 4), (1, 1), (5, 3), and (1, negative 2). These coordinates correspond to six points on the plane, and the hexagon is formed by connecting these points in the specified order.

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HELP!! Find the value of… (picture)

Answers

Answer:

C. 94

Step-by-step explanation:

|A| = [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

det(A) = a * [tex]\left[\begin{array}{ccc}e&f\\h&i\\\end{array}\right][/tex] - b * [tex]\left[\begin{array}{ccc}d&f\\g&i\\\end{array}\right][/tex] + c * [tex]\left[\begin{array}{ccc}d&e\\g&h\\\end{array}\right][/tex]

OR

det(A) = aei - afh - bdi + bfg + cdh - ceg

|A| = [tex]\left[\begin{array}{ccc}-2&-2&-5\\2&7&-3\\8&9&9\end{array}\right][/tex]

det(A) = -2 * [tex]\left[\begin{array}{ccc}7&-3\\9&9\\\end{array}\right][/tex]  - (-2) * [tex]\left[\begin{array}{ccc}2&-3\\8&9\\\end{array}\right][/tex] + (-5) * [tex]\left[\begin{array}{ccc}2&7\\8&9\\\end{array}\right][/tex]

OR

det(A) = (-2)(7)(9) - (-2)(-3)(9) - (-2)(2)(9) + (-2)(-3)(8) + (-5)(2)(9) - (-5)(7)(8)

det(A) = 94

Find the value of x in each parallelogram

Answers

Answer:

Step-by-step explanation:

a) x and 53 are adjacent angles of a parellelogram:

therefore, their sum will be 180 degrees

x + 53 = 180 --> x = 180 - 53 = 127 degrees

b) We know that opposite angles in a parallelogram are equal:

therefore, x = 113 degrees

c) Similarly, x = 80 degrees

d) x + 62 = 180

x = 180 - 62 =  118 degrees

Write the coordinates of the vertices after a translation 1 unit down.

Answers

Answer:

M(4,0)

K(0,5)

L(6,5)

go down one

p = -log(2.1x10^12)

what is p?

Answers

The value of p for the given logarithmic function  -log(2.1x10^12) is, -8.678  

What is a logarithmic function ?

The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function [tex]x = a^y[/tex].

Formulae for logarithmic function are,

LogAB = LogA + LogB         .................(i)

Logₐaᵇ = b                             ................(ii)

Given expression,

p = -log(2.1x10^12)

p = -log2.1 + log10^12  (by applying formula i )

p = -log2.1 + 12             (by applying formula ii )

p =  -(-3.322) + 12        (log2.1 = -3.322)

p =  -8.678

Hence, the value of p is equal to -8.678

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The library has 1,500 fiction books and 8,500 non-fiction books. What percentage of the books at the library are fiction books?

Answers

15%

If you take fiction plus non fiction it equals 10k books. 1500/10000 is 15%

How do you solve 2x 3y =- 6?

Answers

We can solve this equation using the distributive property. First, we will use the distributive property to multiply the 3y by 2.

What is distributive property?

The distributive property is a mathematical rule that allows you to multiply a single number by a group of numbers by multiplying the single number by each number in the group individually. This rule can be expressed in two ways. The first way is a(b + c) = ab + ac. The second way is a(b - c) = ab - ac.

This will give us 2x * 3y = 2(3y). Then, we will subtract 6 from both sides of the equation, which gives us 2x * 3y - 6 = 2(3y) - 6. We can then divide both sides of the equation by 6, which gives us 2x * 3y / 6 = 2(3y) / 6. Finally, we can divide both sides of the equation by 3y, which gives us 2x = -2. Therefore, the solution to 2x 3y = -6 is 2x = -2.

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