Answers
Surface area implies the external surface that bounds a given shape. The surface area of the shape is 384 sq in.
The surface area of a shape is the external side of the shape that can be seen. Sometimes, a given shape may have different shapes that forms its surface area.
From the given question,
i. The area of triangular surface = 1/2 * base* height
= 1/2*12*8
= 48
Area of the triangular surface = 48 sq in.
ii. The area of its rectangular sides = length * width
= 9* 10
= 90
Area of its rectangular sides = 90 sq in.
iii. The area of its base = length * width
= 9 * 12
= 108
Area of its base = 108 sq in.
Therefore,
the surface area of the shape = (2*48) + (2*90) + 108
= 96 + 180 + 108
= 384 sq in.
The surface area of the given shape is 384 square inches.
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Related Questions
Latisha found an apartment that she wants to rent. the rent is $675 per month and there is a security deposit of $325. to move in, latisha must have first month's rent, last month's rent and the security deposit. how much does latisha need to move in?
a. $1,000
b. $1,325
c. $1,675
d. $2,000
please select the best answer from the choices provided a b c d
Answers
Latisha needs to pay first month's rent ($675), last month's rent ($675), and the security deposit ($325), which totals $1,325.
Latisha needs to pay a total of $1,325 to move into her new apartment. This includes the first month's rent of $675, the last month's rent of $675, and the security deposit of $325. This total amount must be paid before Latisha can move in and enjoy her new place. In addition to the up-front costs for move-in, Latisha will also need to be prepared to pay her rent each month and maintain her security deposit in case there are any damages to the apartment. Paying the move-in costs is the first step to ensure that Latisha can enjoy her new home.
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Solve the following inequality using the algebraic approach:
x + 2 greater-than 3 x minus 8
a.
x greater-than negative 5
b.
x less-than negative 5
c.
x less-than 5
d.
x greater-than 5
Answers
To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.
Here, we can solve the inequality x + 2 > 3x - 8 as follows :
We get 2 on both sides of an inequality by the process of subtraction
or, x + 2 - 2 > 3x - 8 -2
or, x > 3x -10
We get 10 on both sides of an inequality by the process of addition
or, x +10 > 3x -10 + 10
or, x + 10 > 3x
We get x on both sides of an inequality by the process of subtraction
or, x + 10 -x > 3x -x
or, 10 > 2x
We get 2 into both sides of an inequality by the process of division
or, 5 > x
Therefore, x < 5.
To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.
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If the function g is defined as g(x)=3x2−5(x+2), what is the value of g(4)?
Answers
The value of the function g(x) at g = 4 is 18.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a function g(x) as follows -
g(x) = 3x² - 5(x + 2)
We have the following function as -
g(x) = 3x² - 5(x + 2)
For g(4), we can write -
g(4) = 3 x (4)² - 5(4 + 2)
g(4) = 3 x 16 - 5 x 6
g(4) = 48 - 30
g(4) = 18
Therefore, the value of the function g(x) at g = 4 is 18.
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suppose there are ten five and six year olds attending a birthday party when a 30 year old mother walks into the room with an infant in her arms, what happens to the mean of ages in the room?
Answers
If there are ten five and six year old attending a birthday party when a 30 year old mother walks in to the room with an infant in her arm then the Mean of the ages in the room changes.
The term average refers to any of the measures of central tendency. The arithmetic mean of a set of observed data is defined as being equal to the sum of the numerical values of each and every observation, divided by the total number of observations. suppose there are ten five and six year old attending a birthday party when a 30 year old mother walks into the room with an infant in her arms. The mean of a dataset exists as the sum of all values divided by the total number of values. It's the most generally utilized measure of central tendency and exists often referred to as the “average.”
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PLEASE HELP QUICK!! WILL GIVE BRAINLIEST AND 25 POINTS!!
Find the value of x, round to the nearest degree.
Answers
Answer:
The answer is, rounded to the nearest degree, 51°
Establish the identity.
(csc 0+1)(csc 0-1) = cot 0
a. Multiply and write the left side expression as the difference of two squares: ?
b. The expression from the previous step is equivalent to cot 0 using what?
OA. Cancellation Property
OB. Quotient Identity
OC. Pythagorean Identity
OD. Reciprocal Identity
OE. Even-Odd Identity
pls help asap i can’t pass this class without passing this test
Answers
To answer this question, we need to first multiply the left side of the given equation and write it as the difference of two squares. This can be done by using the difference of squares formula, which states that the difference of two squares can be written as the product of the square of the sum and the square of the difference.
The left side of the given equation can be written as:
(csc0+1)(csc0-1)
We can then apply the difference of squares formula to this expression to get:
(csc0+1)(csc0-1) = (csc0+1)(csc0-1)
Now, we can see that this expression is equivalent to cot 0 using the Pythagorean Identity. This identity states that the sum of the squares of the cosecant and cotangent of an angle is equal to 1. In this case, since (csc0+1)(csc0-1) = cot 0, we can use the Pythagorean Identity to rewrite the left side of the equation as (csc0^2 + cot0^2) = 1, which is equivalent to cot 0.
Therefore, the correct answer is C. Pythagorean Identity
What is the greatest common factor of 64xyz−36xy 24x ?
Answers
The greatest common factor of polynomial 64xyz−36xy + 24x is 4x
The greatest common factor of a polynomial is a monomial that divides all terms of the polynomial.
The given polynomial is:
64xyz−36xy + 24x
Notice that there are 3 terms:
64xyz
−36xy
24x
To find the greatest common factor, notice that each terms contain x.
Next, find the gcf of 64, 36, 24.
Using prime factorization:
64 = 2⁶
36 = 2² × 3²
24 = 2³ × 3
Hence the gcf (64, 36, 24) = 2² = 4
Therefore the gcf of 64xyz−36xy + 24x is 4x
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List the statements and reasons thanks!
Answers
The given congruency proof to show that AE ≅ A F is; SSS Congruency Postulate
How to carry out congruency proof?From the given items, we see that the congruency proofs are;
Statement 1; ΔEBC ≅ ΔFDC
Reason 1; Given
Statement 2; ∠EAC ≅ ∠ECA
Reason 2; Given
Statement 3; ∠FAC ≅ ∠FCA
Reason 3; Given
Statement 4; AE ≅ A F
Reason 4; SSS congruency postulate
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find the value of x and y.
(3x+19)°
(4x+14)°
And y ♂️
Answers
Answer:
X=34 Y=146
Step-by-step explanation:
3x+19is equal to 4x+14 through this we can look for the value of x which is 34
angles in a straight line add up to 180 and all ready have 34 so we will take 180-34 = 146
Helpppp!!
7.5
15.
30.
None of these choices are correct.
Answers
Answer:30
Step-by-step explanation:
In a triangle, the midsegment is half of base (AC)
so, AC would be double of DE, meaning 15×2=30
Keilantra and her children went into a movie theater and will buy drinks and pretzels.
She must buy no more than 7 drinks and pretzels altogether. Write an inequality that
would represent the possible values for the number of drinks purchased, d, and the
number of pretzels purchased p.
Answers
The inequality that would represent the possible values for the number of drinks purchased, d, and the number of pretzels purchased p will be p + d ≤ 7.
How to illustrate the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal.
From the information, Keilantra and her children went into a movie theater and will buy drinks and pretzels and she must buy no more than 7 drinks and pretzels altogether
In this case, the inequality will be p + d ≤ 7. It implies that they should not be more than 7.
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What is the measure of ∠xbc? m∠xbc = m∠bac m∠bca 3p – 6 = p 4 84 3p – 6 = p 88 2p – 6 = 88 2p = 94 m∠xbc = °
Answers
The measure of m∠XBC=(3p-6)°=(3·47-6)°=135°.
What is meant by geometric mean theorem?The relationship between the height on the hypotenuse of a right triangle and the two line segments it generates on the hypotenuse is described by the right triangle altitude theorem, also known as the geometric mean theorem, which is a consequence of elementary geometry. It claims that the altitude is equal to the geometric mean of the two segments.The later version provides a method for squaring a rectangle using a ruler and compass, which entails creating a square with the same area as the rectangle in question.Since the inverse of Thales' theorem guarantees that the hypotenuse of the right angled triangle is the diameter of its circumcircle, the theorem may also be seen as a specific example of the intersecting chords theorem for a circle.Given data :
m∠XBC = m∠BAC + m∠BCA,
Now if : m∠XBC=(3p-6)°: m∠BAC=(p+4)°: m∠BCA=84°,
then we get the equation :
3p-6=p+4+84
(option 2), 3p-6=p+88
(option 3), 3p-p-6=p-p+88,2p-6=88
(option 4), 2p-6+6=88+6,2p=94
(option 5), p=47.
Then m∠XBC=(3p-6)°=(3·47-6)°=135°.
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Answer:
135
answer in picture
Step-by-step explanation:
Solve for m.
−2.4(m−2/3)=−9
Enter your answer as a simplified mixed number in the box.
m =
PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Answers
The solution of the linear equation −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
−2.4(m − 2/3) = −9
Simplify the equation, then we have
−2.4(m − 2/3) = −9
m - 2/3 = 9/2.4
m - 2/3 = 15/4
m = 15/4 + 2/3
m = 53 / 12
m = 4 ⁵/₁₂
The arrangement of the straight condition −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.
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Fill in the missing parts. 1/7 of...is 1/35
Answers
Answer:
1/5
Step-by-step explanation:
of: *
is: =
1/7 * x = 1/35
Multiply by 7 on both sides.
7(1/7x) = 7(1/35)
x = 1/5
FILL IN THE BLANK. The size of the observed effect, the number of subjects or observations, and the ___ of data within each group are all involved in the calculation of a p-value
Answers
variability.
In statistics, variability refers to the spread or spread of a data set. It is a measure of how much the data points in the dataset differ from each other and from the mean (mean) of the data.
There are several ways to quantify dataset variability. A common measure of variability is range. This is the difference between the highest and lowest values in the dataset. Another measure of variability is variance. This is a measure of how far the data points are from the mean. Standard deviation is another measure of variability calculated by taking the square root of the variance.
In addition to these measures of variability, there are other statistical techniques that can be used to summarize the spread of datasets, such as Box plot and histogram. These techniques help visualize data variability and identify outliers.
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Kayla pays 18% of her earnings in taxes. This week she earns a total of $1,200. Kayla wants
to know how much of her earnings are left over after taxes are paid.
How much does Kayla pay in taxes?
Answers
Answer:
She has $984.00 left after taxes.
She pays $216.00 in taxes
Step-by-step explanation:
1200 x .18 = 216
She pays $216.00 in taxes
1200 - 216 = 984
She has $984.00 left after taxes.
Andrea loaned $5 to each of 20 people. She recorded each loan by writing -$5 in her bank book. What is the total amount of money Andrea has written in her bank book after the loans?
Answers
Answer: -$100
Step-by-step explanation:
We know that Andrea loaned $5 to each of the 20 people.
So 5 times 20 = -$100
Write the equation of direct variation that includes the given point .
(-6,5)
(14,-28)
Answers
Answer:
33/20
Step-by-step explanation:
The direct variation is the slope, or how much the y-value of the line changes when the x-value of a line increases by 1.
Plug into the formula:
[tex]\frac{y_2-y_1 }{x_2-x_1}[/tex]
[tex]\frac{-28-5}{14--6}[/tex]
[tex]\frac{33}{20}[/tex]
in class a there are 20 students 14 of them are girls in class b there 25 students 15 of them are girls (a) which class has more girls?
(b) which class has greater percentage of girls?
Answers
Answer:
(A) Here, as we can see class A has more girls than class B.
(B) Class A has a greater percentage of girls.
Step-by-step explanation:
Given;In class A there are 20 students 14 of them are girls.In class B there are 25 students 15 of them are girlsSo,
For class A
14/20 × 100 = 70%For class B
15/25 × 100 = 60%(A) Here, as we can see class A has more girls than class B.
(B) Class A has a greater percentage of girls.
How is h 50 different than h> 50?
Answers
H>50 means H is larger than 50
The crocodile eats the bigger # is a way to remember it.
Caleb wa out at a retaurant for dinner when the bill came. Hi dinner came to $21. He wanted to leave a 31% tip. How much wa hi meal plu the tip, before tax, in dollar and cent
Answers
If Caleb dinner was for $21 then the total bill including tip will be $27.51 .
Caleb went out for the dinner ;
the amount for the dinner = $21 ;
the percent of tip that Caleb want to leave = 31% ;
that means ; tip amount = 31% of dinner amount ;
So , tip amount = 31% of $21 = 0.31 × 21 = $6.51 ;
the tip amount = $6.51 ;
the total bill = bill for dinner + tip amount = $21 + $6.51 ;
= $27.51 .
Therefore , the total bill amount is 27 dollars and 51 cents .
The given question is incomplete , the complete question is
Caleb was out at a restaurant for dinner when the bill came. His dinner came to $21. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollar and cent ?
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Jen Butler ha been pricing Speed-Pa train fare for a group trip to New York. Three adult and four children mut pay $129 Two adult and three children mut pay $92 Find the price of the adult' ticket and the price of a child' ticket
Answers
The price of the adult ticket is calculated to be $19 and the price of a child ticket is calculated to be $18.
The price of the adult ticket and the price of a child ticket can be calculated by using algebraic expressions as follows;
Considering adult ticket price = y and child ticket price = x;
The algebraic equations for tickets can be given as follows;
3y + 4x = $129
2y + 3x = $92
Now we can calculate y as follows;
3y + 4x = 129
3y = 129 - 4x
y = 129 - 4x / 3
Adding this value of y in the second equation as follows;
2y + 3x = 92
2(129 - 4x / 3) + 3x = 92
258 - 8x / 3 + 3x = 92
258 - 8x / 3 = 92 - 3x
258 - 8x = 3(92 - 3x)
258 - 8x = 276 - 9x
9x - 8x = 276 - 258
x = $18
Hence the price of a child ticket is $18 and the price of an adult ticket can be determined as follows;
2y + 3x = 92
2y + 3(18) = 92
2y + 54 = 92
2y = 38
y = 38 / 2
y = $19
Therefore the price of an adult ticket is $19.
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Find the area of the pizza if the diameter is 15 in.
Answers
Answer:
176.7 square inches
Step-by-step explanation:
You want the area of a 15 inch diameter pizza.
AreaThe formula for the area of a circle in terms of its diameter is ...
A = (π/4)d²
The area of the pizza is ...
A = (π/4)(15 in)² = 225π/4 in² ≈ 176.7 . . . square inches
The area is about 176.7 square inches.
gallup political polls ask people their political party affiliation- democrat, republican, or independent. which level of measurement is used to measure party ? nominal ordinal interval ratio
Answers
In Gallup political polls, respondents are asked which political party they identify with: independent, democratic, or republican. Nominal level of measurement is used to measure party
Nominal level of measurement is used when assigning a name, label, or category to a particular attribute of an individual, group, or phenomenon. In the case of party affiliation, the Gallup Political Polls ask people to identify themselves as Democrat, Republican, or Independent. These labels are mutually exclusive, and do not imply any particular order. Therefore, the level of measurement used to measure party is nominal.
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You invest $1000 in an account that has an annual interest rate of 4%, compounded monthly for 12 years. What is the equivalent interest rate and how many times will the money be compounded?
3% and 144 times
3% and 4 times
O 0.33% and 1 time
0.33% and 144 times
Answers
Answer:
Below
Step-by-step explanation:
4% /12 = .33 % per period
periods per year = 12
money is compounded each month for 12 years = 144 times
What is the quotient of three and one-third ÷ three-fourths?
Answers
for a random sample of 90 such pairs, where is the sampling distribution of x centered, and what is the standard deviation of the x distribution?
Answers
The standard deviation of the x distribution for a random sample of 90 pairs will be 0.168 .
As stated in the assertion
The sample n has been provided, and we need to determine the sample's standard deviation.
For this reason, we know that the standard deviation of the sample is equal to the population's standard deviation divided by the square root of the sample's length.
The value of alpha is given as,
alpha = 1.6.
Assume that for a specific type of aluminum alloy sheet, X is the sample mean Young's modulus for a random sample of 90 sheets, and
s = alpha/ 90 s
= 1.6/9.48 s
= 0.168
Therefore, 0.168 is the x distribution's standard deviation.
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What is the answer to 26.52x14
Answers
Answer: 371.28
I hope that this helps! :)
Answer: 371.28
Step-by-step explanation: hope it helps mark brainlist if helpful
a blueprint for a house has a scale of 1:25 a wall in the blueprint is 3 inches what is the length of the actual wall in feet
Answers
The length of the actual wall in feet is 4.69 feet.
In mathematics, what are scales?The term scale is used in mathematics to represent the relationship between a measurement on a model and the corresponding measurement on the actual object. A scale is a set of levels or numbers that are used in a specific system of measuring or comparing things.
In this case, the blueprint for a house has a scale of 1:25 a wall in the blueprint is 3 inches, the length of the actual wall in feet will be:
= 3 × 25
= 75 inches
Since 1 feet = 16 inches
75 inches will be:
= 75/16
= 4.69 feet.
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b. There are 39 books and 21 binders
Write the ratio of binders to books.
Answers
Answer:
The ratio is 7 : 13
Step-by-step explanation:
There are 39 books and 21 binders
Write the ratio of binders to books.
binders: books
21 : 39
Divide each side by 3
21/3 : 39:3
7 : 13
The ratio is 7 : 13
Answer:
Ratio is [tex]\frac{7}{13}[/tex] or 7 : 13
Step-by-step explanation:
the formula would be 21 ÷ 39
next would be to cross out the common factor which is [tex]\frac{7}{13}[/tex]
so the final answer is [tex]\frac{7}{13}[/tex]