Swimmer is 47 dm away from the sailboat.
The mentioned problem will use cosine trigonometric functions to find the distance between swimmer and sailboat. Assuming the distance between lifeguard and swimmer be x and the distance between lifeguard and sailboat be y.
Taking the triangle between swimmer and lifeguard -
cos theta = base/hypotenuse
cos 32 = x/36.5
x = 0.8×36.5
x = 29.2 dm
Taking the triangle between lifeguard and sailboat -
cos 13 = y/84.7
y = 0.9×84.7
y = 76.23 dm
Therefore, the distance between sailboat and swimmer is y - x
Distance = 76.23 - 29.2
Performing subtraction
Distance = 47.03 dm
Round to nearest tenth
Distance = 47 dm
Thus, the sailboat and swimmer are 47 dm apart.
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WHAT IS 483 AS A DECIMAL
Answer: 0.483
Step-by-step explanation: add a zero and a point to the right f it
Draw and label center D at (-4,-2)
Marco needs to buy some cat food. At the nearest store, 3 bags of
cat food cost $17.25. How much would Marco spend on 6 bags of
cat food?
Marco would spend $ on 6 bags of cat food.
Answer: 34.50
Step-by-step explanation: Since 3 bags cost 17.25 and Marco would buy 6, 3 times 2 is 6 so 17.25 times 2 is 34.50
find the sum by using a number line -9+8=
Hello! So...
We are given the following to solve:
[tex]-9+8=?[/tex]
In order to solve this, we simply need to add.
[tex]-9+8=-1[/tex]
Hence, our solution is -1, and would be marked -1 on a number line. Graph is displayed below.
____________________________________
Hope this helps! If so, lmk! Thanks and good luck!
139c. Find the coordinates of the point of intersection of the lines. y=1-2x and y=x-5
PLS HELP ASAP
The coordinates of the point of intersection is equal to (3, 5).
What is a point of intersection?In Mathematics, a point of intersection can be defined as the location on a graph where two (2) lines intersect, meet, or cross each other, which is typically represented as an ordered pair containing the point, x-axis and y-axis.
Next, we would solve the given equations simultaneously to determine the coordinates of the point of intersection as follows:
y = 1 - 2x
y = x - 5
Re-arranging the equation, we have:
y + 2x = 1
y - x = -5
Subtracting, we have:
3x = 6
x = 6/2
x = 3.
For y-coordinate, we have:
y + 2x = 1
y + 2(3) = 1
y + 6 = 1
y = 1 - 6
y = -5.
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Question 1
What is a counterexample for the conjecture?
If the perimeter of a rectangle is 40 units, the area must be at least 1 square unit.
OA) A square with a side length of 10 units has a perimeter of 40 units and an
area of 100 square units.
OB) A rectangle with length 19.99 units and width 0.01 unit has a perimeter of
40 units and an area of 0.1999 square unit.
OC) A rectangle with length 15 units and width 5 units has a perimeter of 40
units and an area of 75 square units.
OD) A rectangle with length 40 units and width 0.0125 unit has a perimeter of
80.025 units and an area of 0.5 square unit.
The counterexample for the conjecture If the perimeter of a rectangle is 40 units, the area must be at least 1 square unit is: A rectangle with length 19.99 units and width 0.01 unit has a perimeter of 40 units and an area of 0.1999 square unit.
What is counterexample?The term counterexample refers to an instance or example that makes the statement false. This is used in logic to check if a statement is true or not. Counter example tend to counter the statement being discussed with valid points.
The question wants to show the relationship that may exist between perimeter and area of a rectangle.
The counterexample provided the dimensions that gave the perimeter which is 40 but failed to give area of 1 square unit
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Find a term that results in 66x^9 when multiplied by 22x^-3
Answer: 3x^12
Step-by-step explanation:
66 / 22 = 3
We can add exponents when multiplying them.
-3 + 12 = 9
the sum of simple interest and compound interest of a certain interest on a sum of money for 2 years at the rate of 7% p.a is Rs 85470. by how much percent the compound interest is more than the simple interest?
Answer: 3.3%
Step-by-step explanation:
Principal not given.
SI = PRT/100
CI = P(1+R/100)^T -
SI + CI = 85470
[P×7×2]//100 + P [1+ (7/100)]^2 = 85470
on solving: P = 3,00,000
P = 300000 SI for 2 years = 42000
CI = Rs 43470
The difference= Rs 1470
as percentage to CI = [1470/ 43470] ×100
= 3.38%
For the figure shown on the right, find the value of the variable and the measures of the angles.
***
R
(3x+15)°
(x-20)
Answer:
x = 37 , ∠ P = 17° , ∠ Q = 126° , ∠ R = 37°
Step-by-step explanation:
the sum of the 3 angles in Δ PQR = 180°
sum the 3 angles and equate to 180
x + x - 20 + 3x + 15 = 180
5x - 5 = 180 ( add 5 to both sides )
5x = 185 ( divide both sides by 5 )
x = 37
Then
∠ P = x - 20 = 37 - 20 = 17°
∠ Q = 3x + 15 = 3(37) + 15 = 111 + 15 = 126°
∠ R = x = 37°
Kevin has x dollars in an account that pays 2.2% interest, compounds quarterly. Express his balance after one quarter algebraically
Balance of Kevin after 1 quarter will be 1.0055(x)
What is quarterly compounded compound interest?Compound interest is interest that is calculated using both the starting amount and the interest that has accrued over time.
Interest is considered to be compounded quarterly if it is compounded four times each year.
If interest is compounded four times or quarterly each year, the formula for the amount at time t is as follows.
A = P( ( 1 + (r/4))⁴ⁿ
A = Accumulated amount
P= Principal amount
r = interest rate
n = time
Given that Kevin has x dollars in an account that pays 2.2% interest, compounds quarterly
∴ P = x
r = 2.2% = 2.2/100
To find balance after one quarter , i.e. time n = 1/4 year
⇒ Balance = accumulated amount =$ x(1 + 2.2/400)¹ = $ 1.0055(x)
Therefore, Balance of Kevin after 1 quarter will be 1.0055(x)
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how to ask a girl out on a date
Answer:
1. you can ask directly or indirectly
Comparing
Compare and contrast interpolations and extrapolations
based on a scatterplot.
Interpolation is the process of foretelling the value of a function f at a location inside the observed range of values for and. Predicting the value of y when it is outside the range indicated by the points and areas where the values and have been observed is known as extrapolation.
What is meant by scatter plots?The values for two different numerical variables are represented by dots in a scatter plot (also known as a scatter chart or scatter graph). Each dot's location on the horizontal and vertical axes represents a data point's values. To view relationships between variables, utilize scatter plots.
Interpolation is the process of foretelling the value of a function f at a location inside the observed range of values for and. Predicting the value of y when it is outside the range indicated by the points and areas where the values and have been observed is known as extrapolation.
For an independent variable that lies outside the range of our data, we use function to forecast the value of the dependent variable. We extrapolate in this situation.
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Answer:
Sample Answer: An interpolation has a result which lies within the scatterplot’s cluster of data points. An extrapolation lies outside the cluster. An interpolation is more reliable than an extrapolation.
Step-by-step explanation:
40 point question!! Functions. (ignore pencil marks)
Answer:
[tex]\textsf{D)} \quad P(n)=0.024n^2-0.3n+4.3[/tex]
Step-by-step explanation:
From inspection of the graph, when the number of coils is 10, the length of the spring is between 0 cm and 20 cm.
Substitute n = 10 into the equation of each given answer option:
[tex]\begin{aligned}\textsf{Option A}: \quad P(10)&=10^2+4.3\\ & =100+4.3\\&=104.3\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Option B}: \quad P(10)&=10^2-0.3(10)+4.3\\ & = 100-3+4.3\\&=97+4.3\\&=101.3\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Option C}: \quad P(10)&=0.24(10^2)+4.3\\&=0.24(100)+4.3\\&=24+4.3\\&=28.3\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Option D}: \quad P(10)&=0.024(10^2)-0.3(10)+4.3\\ & = 0.024(100)-3+4.3\\&=2.4-3+4.3\\&=-0.6+4.3\\&=3.7\end{aligned}[/tex]
Therefore, as 0 < P(10) < 20, the only suitable equation is Option D:
[tex]\boxed{P(n)=0.024n^2-0.3n+4.3}[/tex]
Read the screenshot, please.
Answer:
You need at least 101 cans of food in order to meet or surpass the goal.
Step-by-step explanation:
a.
135+89=224
224+c>=325
b.
224-224+x>=325-224
x>=101
You need at least 101 cans of food in order to meet or surpass the goal.
Simplify.
6‾√+36‾√
Responses
182‾√
18 2
436‾‾‾√
4 36
18
18
46‾√
Based on the information illustrated, it should be noted that 6 × ✓3 .will be 36.
How to calculate the value?It should be noted that the information that's illustrated has to do with the square root of numbers. It should be noted that a square root simply means a number that when multiplied by itself will be able to give the original number that's given in the question.
Based on the information, the numbers will be illustrated thus:
6 × ✓36
It should be noted that ✓36 = 6
Therefore, 6 × ✓36
= 6 × 6
= 36
Therefore, the correct option is 36.
Note that the options aren't well written.
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jeremy and his dad are sharing the responsibilities for their new plumbing company. combined, jeremy and his dad worked at least 85 combined hours last week. they collected a total of more than $1000 by charging $20 per hour. let x
The system of inequalities that models the situation is given as follows:
x + y ≥ 85.20(x + y) ≥ 1000.x ≥ 0.y ≥ 0.Which system of inequalities models the situation?Before we build the inequalities, we have to consider that the variables of the system are given as follows:
Variable x: Number of hours worked by Jeremy.Variable y: Number of hours worked by his dad.Jeremy and his dad worked at least 85 combined hours last week, hence the first inequality is:
x + y ≥ 85.
They collected a total of more than $1000 by charging $20 per hour, hence the second inequality is:
20x + 20y ≥ 1000.
20(x + y) ≥ 1000.
The minimum number of hours that each can work is of 0, that is, they cannot work a negative number of hours, hence the constraints are:
x ≥ 0.y ≥ 0.What is the missing information?The problem is incomplete, and it asks for the system of inequalities that models the situation.
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how do you solve i?
9 = i +7
show your work
Answer: i is just a variable I believe so _ + 7 = 9
So i (<- the variable) would = 2
Does this look right to anyone? Btw the miles on the 4 year old car are -0.9360
it x/383
i myself i dont even knkw hownto do this brk i just want points so please dont listen to this try you hardest dont give up and keep looking for others but i just want sum piote bro i gotta finish my ezam too man so good luck tho.
Show that quadrilateral ABCD is a parallelogram.
Slope of AB = 2; Slope of DC = 2
Slope of AD = -1/2; Slope of BC = -1/2
Both pairs of opposite sides are parallel because they have the same slope, therefore, quadrilateral ABCD is a parallelogram.
What is a Parallelogram?A parallelogram is a quadrilateral that has two pairs of opposite sides that have the same lengths and are parallel to each other.
Since the opposite sides of a parallelogram are parallel, therefore, they have the same slope value.
Slope = change in y / change in x.
Find the slope of AB and DC. then AD and BC:
Slope of AB = (-2 - 2)/(-3 -(-1)) = -4/-2
Slope of AB = 2
Slope of DC = (-3 - 1)/(-1 - 1) = -4/-2
Slope of DC = 2
Slope of AD = (-3 -(-2))/(-1 -(-3)) = -1/2
Slope of AD = -1/2
Slope of BC = (2 - 1)/(-1 - 1) = 1/-2
Slope of BC = -1/2
Therefore, since AB and DC have the same slope, they are parallel, so also is AD and BC parallel because they have the same slope, therefore, quadrilateral ABCD is a parallelogram.
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I will give brainliest
The algebraic equation and the original price is:
original price - discount = sales price
x - 27 = 89
x = 116
What is the original price?An algebraic equation is made up of two expressions that are made up of variables or numbers that are connected by an arithmetic operation.
A discount reduces the price of a good or service. In order to determine the price of a good after the discount has been applied, subtract the amount of the discount from the original price of the item.
original price - discount = sales price
x - 27 = 89
Combine similar terms: x = 89 + 27
Add similar terms together: x = 116
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-4(-6-b)=1/3(B+16) solve for B ANSWER NOW PELASE.
The simplified solution for B in the equation -4 ( - 6 - b) = 1/3 (B + 16) is B = 56 + 12b
Given,
The equation: - 4 (- 6 - b) = 1/3 (B + 16)
We have to simplify the equation and find B.
Lets simplify:
-4 ( - 6 - b) = 1/3 (B + 16)
Here,
(- 4 × - 6) - 4 × - b = 1/3 × B + 1/3 × 16
24 + 4b = B/3 + 16/3
24 + 4b = (16 + B) / 3
Multiply 3 to both sides:
(24 + 4b) × 3 = (16 + B) × 3 / 3
72 + 12b = 16 + B
Add -16 to both sides:
72 + 12b - 16 = 16 + B - 16
Then,
B = 72 + 12b - 16
B = 56 + 12b
That is, the simplified solution for B in the equation -4 ( - 6 - b) = 1/3 (B + 16) is B = 56 + 12b
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Is r=10q+3 a linear function ?
Answer:
Well, if we consider [tex]r[/tex] as y and [tex]q[/tex] as x.
Step-by-step explanation:
So, typically, a linear function is either represented using function notation
[tex]f(x)=mx+b[/tex]
Or in slope-intercept form
[tex]y=mx+b[/tex]
This question is oddly using the variables r and q in place of y and x. If we replace them to be y and x, it will be a linear equation (because the slope is constantly changing).
But, if you aren't allowed to replace r and q to be y and x, then it isn't a linear function.
Who will win this madden game?
Answer:
Step-by-step explanation:
The one in blue
I dont even need help with the question.
[tex]32^{\frac{1}{25}}\cdot 2^x ~~ = ~~8^{\frac{1}{4}}\implies (2^5)^{\frac{1}{25}}\cdot 2^x~~ = ~~(2^3)^{\frac{1}{4}}\implies 2^{\frac{5}{25}}\cdot 2^x~~ = ~~2^{\frac{3}{4}} \\\\\\ \stackrel{same~exponent}{\underset{same~base}{2^{\frac{5}{25}+x}~~ = ~~2^{\frac{3}{4}}}}\implies \cfrac{5}{25}+x~~ = ~~\cfrac{3}{4}\implies \cfrac{1}{5}+x~~ = ~~\cfrac{3}{4}[/tex]
[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{1}{5}+x \right)~~ = ~~20\left( \cfrac{3}{4} \right)}\implies 4+20x~~ = ~~15 \\\\\\ 20x=11\implies {\Large \begin{array}{llll} x=\cfrac{11}{20} \end{array}}[/tex]
find the value x in the triangle
Answer:
x = 5
Step-by-step explanation:
Comment
The three sides need to add up to 23 (the perimeter is given as 23)
Givens
The sides are
x (x + 3)2xThe perimeter is 23Solution
x + x + 3 + 2x = 23 Combine
4x + 3 = 23 Subtract 3 from both sides
4x + 3-3 = 23-3 Combine
4x = 20 Divide by 4
4x/4 = 20/4
x = 5
The three sides of a triangle is x, x+3 and 2x. If the perimeter is 23 feet. Find the value of x.
Explanation -:In this question we are given
the perimeter of a triangle is 23 feet.sides of the triangle xx+3 2x.We are asked to calculate the value of x.
To solve this problem first we have to form an equation.
Let us solve this question.
We know that the perimeter of a triangle is the sum of all three sides.
According To Question
x + x + 3 + 2x = 23
→ 2x + 3 + 2x = 23
→ 4x + 3 = 23
→ 4x = 23 - 3
→ 4x = 20
→ x = 20/4 = 5
x = 5
The value of x is 5.
[tex] \rule{70mm}{2pt}[/tex]
Which number line and expression show how to find the distance from 4 to 1? A. A number line from -5 to 5 and two points on -1 and 4. B. A number line from -5 to 5 and two points on 1 and 4. C. A number line from -5 to 5 and two points on -4 and -1. D. A number line from -5 to 5 and two points on -4 and 1.
A number line and expression show how to find the distance from 4 to 1 is: B. A number line from -5 to 5 and two points on 1 and 4.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
This ultimately implies that, a number line can be used to determine the difference between two numbers such as 4 and 1. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.
In this context, we can reasonably infer and logically deduce that number line C shows the distance from 4 to 1.
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Mike says the opposite of 5 is –5 and the absolute value of 5 is –5. Is he correct?
Use the drop-down menus to explain your answer.
I don't know what the dropdown menus are, but Mike is half-correct. The opposite of a number is the number with the opposite sign, so the opposite of 5 is -5. But the absolute value of a number is its distance from zero on a number line, and distances can't be negative, so the absolute value of 5 is 5, not -5.
super genius people. here question mark
[tex]3 \sqrt{5} - 2 \sqrt{7} + \sqrt{9 \times 5} - \sqrt{4 \times 7} \\ = 3 \sqrt{5} - 2 \sqrt{7} + ( \sqrt{9} \times \sqrt{5} ) - ( \sqrt{4} \times \sqrt{7} ) \\ = 3 \sqrt{5} - 2 \sqrt{7} + 3 \sqrt{5} - 2 \sqrt{7} \\ = 3 \sqrt{5} + 3 \sqrt{5} - 2 \sqrt{7} - 2 \sqrt{7} \\ = 6 \sqrt{5} - 4 \sqrt{7} [/tex]
OPTION C IS THE ANSWER.
Answer:
6√5 - 4√7
Step-by-step explanation:
hope it helps!!
mistaking no linear correlation with no correlation b. the conclusion that correlation implies causality c. the use of data based on averages d. correlation does not imply causality
Answer:
B
Step-by-step explanation:
Step by step
Please help
Answer:
its 3 because 4^-n=1/256
We move all terms to the left:
4^-n-(1/256)=0
We add all the numbers together, and all the variables
-n+4^-(+1/256)=0
We add all the numbers together, and all the variables
-1n-(+1/256)=0
We get rid of parentheses
-1n-1/256=0
We multiply all the terms by the denominator
-1n*256-1=0
We multiply elements
-256n-1=0
We move all terms containing n to the left, all other terms to the right
-256n=1
n=1/-256
n=-1/256