Answers
As we Know that, ΔTUV[tex]\sim[/tex] ΔXWV
So, for the given proportion TV(y) = 21.
What is Proportion?
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)
What is Ratio?
The link between two or more things in terms of quantity, amount, or size.
Given that,
ΔTUV[tex]\sim[/tex] ΔXWV
∠T = ∠X
∠U = ∠W
∠TUV = ∠XWV
So, TU/WX = TV/WV
10/10 = TV/21
1 = TV/21
TV = 21
So, for the given proportion the value for the side TV(y) = 21
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Related Questions
how do I find the value of xfor the following triangles
Answers
Given at the figure 1
A right triangle of legs of 10 and 16
We need to find the angle x
The side of 16 represent the opposite side of the angle x
The side of 10 represents the adjacent side of the angle x
According to the known sides, we can find x using tan function :
So,
[tex]\begin{gathered} \tan x=\frac{opposite}{adjacent} \\ \\ \tan x=\frac{16}{10}=1.6 \\ \\ x=\tan ^{-1}1.6=57.995 \end{gathered}[/tex]Rounding to the nearest degree
So, the measure of angle x = 58
help meeeeeeeeeeeeeee pleaseeeeeee
Answers
Answer: 2.5, 5.4
Step-by-step explanation:
[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]
it takes james 15 minutes to cut a log into 4 pieces. find how long it will take him to cut a log into 15 pieces.
Answers
It will take 56.25 minutes to cut the log into 15 pieces.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, James takes 15 minutes to cut the log into 4 pieces, which can be represented by:
4 pieces = 15 minutes
1 piece = 15/4 minutes
15 pieces = (15/4)×15 minutes
15 pieces = 56.25
Hence, it will take 56.25 minutes to cut the log into 15 pieces.
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Solve for g: g + 8 > 10
Answers
Given the inequality:
[tex]g+8>10[/tex]Solve for g, subtract 8 from both sides
[tex]\begin{gathered} g+8-8>10-8 \\ \\ g>2 \end{gathered}[/tex]so, the answer will be:
[tex]g=(2,\infty)[/tex]DCF = FB and AE = EBCB = 38 and AB = 22DE = [?]EBFLLEnter
Answers
Given
Also, CF = FB and AE = EB, CB = 38 and AB = 22.
To find the length of DE.
Explanation:
It is given that,
Also, CF = FB and AE = EB, CB = 38 and AB = 22.
That implies,
By using midpoint theorem of triangle, we have,
[tex]DE=\frac{1}{2}BC[/tex]Therefore,
[tex]\begin{gathered} DE=\frac{1}{2}\times38 \\ =19 \end{gathered}[/tex]Can I get some help on this please?Options 1: reflection accross the y-axis, 90 degree counterclockwise rotation about the point a, 90 degree clockwise rotation about the point a, 90 degree counterclockwise rotation about point bOptions 2: clockwise rotation about point b and a translation 20 units down, reflection across the y-axis and 20 units down, reflection across the x-axis and 15 units down, reflection across the y-axis and 25 units down
Answers
Answer:
The sequence of transformation that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a 90 degrees counterclockwise rotation about point A followed by reflection across the y-axis and a translation of 20 units down.
Explanation:
The sequence of transformations are described in the following figure:
Therefore, the first transformation is a rotation of 90 degrees counterclockwise about point A. After that transformation, we get the figure A'B'C'D'
Then, we reflect the figure across the y axis, so we get A''B''C''D''
Finally, we translate the figure 20 units down to get GHIJ
So, the answers are:
The sequence of transformation that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a 90 degrees counterclockwise rotation about point A followed by reflection across the y-axis and a translation of 20 units down.
.
Tyler owns a food truck that sells chicken wings and hamburger sliders. Each order of
chicken wings sells for $7.25-while each order of hamburger sliders sells for $3. On
Friday, Tyler made a total of $595 in revenue from all sliders and wings-sales. There
were twice as many chicken wing orders sold than there were sliders sold.
Answers
The number of chicken wing orders is 90 and the number of sliders is 45.
According to the question,
We have the following information:
Each order of chicken wings sells for $7.25-while each order of hamburger sliders sells for $3. On Friday, Tyler made a total of $595 in revenue from all sliders and wings-sales. There were twice as many chicken wing orders sold than there were sliders sold.
Now, let's take the number of sliders to be x and the number of chicken wing orders to be y.
y = 2x
Now, we have the following expression:
7.25x+3(2x) = 595
7.25x+6x = 595
13.25x = 595
x = 45 (This value is rounded off to a whole number)
Now, the number of wing sales:
y = 2*45
y = 90
Hence, the number of chicken wing orders is 90 and the number of sliders is 45.
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What is the slope of the line shown?
A. slope = 3
B.slope = 12
C. slope = 2
D. slope = -3
Answers
The slope of the line shown is 0.5 .
How to find the slope of a given line?
For a line passing through the points (x₁, y₁) and (x₂, y₂), the slope for the same can be defined with the mathematical value of m i.e.,
m = (y₂ - y₁)/(x₂ - x₁)
Given, the line in picture passes through the points (0, -3) and (6, 0).
Following the formula established in the literature above, the given line has slope as m, which is:
m = (y₂ - y₁)/(x₂ - x₁) = (0 - (-3))/(6 - 0) = 3/6 = 0.5
Thus, the slope of the given line in question is 0.5 .
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Show work please!
29) Write two expressions that are equivalent to model below.
30)Write two expressions that are equivalent to the model below.
31) Write an expression to represent the model below.
32) One cotton candy at the rodeo cost $5.25. When 4 friends purchases cotton candy, the expression 5.25(4) can be used to determine the total cost. What other expression can be used to determine the total cost?
Answers
29. The two equivalent expressions for the models are: 3x - 6 and 3(x - 2).
30. 2x + 2 and 2(x + 1).
31. 36x.
32. Another expression for the total cost is: 4(5.25).
What are Equivalent Expressions?Expressions are said to be equivalent expressions when both of them have identical terms, or both gives the same value if the values of the variables in both expressions are plugged in.
29. In the model, we have 3 x's, which is: x + x + x = 3x.
We also have 6 "-1". Which is: 6 × -1 = -6.
An expression for the model would be: 3x - 6
It can also be rewritten as: 3(x - 2).
The two equivalent expressions are: 3x - 6 and 3(x - 2).
30. We have, 2x - 4 + 6 = 2x + 2
It can be rewritten as 2(x + 1).
The two equivalent expressions are: 2x + 2 and 2(x + 1).
31. Let each of the shapes be represented as x. They are 36 in number. Therefore, an expression for the model would be 36x.
32. Another expression that can be used to determine the total cost is: 4(5.25).
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What is the missing value in the proportion 4/4=x/30 A.6B.24C.37.5D.29
Answers
Answer
x = 30
Explanation
We need to find the value of x in the proportion
[tex]\begin{gathered} \frac{4}{4}=\frac{x}{30} \\ \text{Cross multiply} \\ 4x=120 \\ \text{Divide both sides by 4} \\ \frac{4x}{4}=\frac{120}{4} \\ x=30 \end{gathered}[/tex]Hope this Helps!!!
6 chairs cost £84 in total.
How much does 1 chair cost?
Give your answer in pounds (£).
Answers
Answer: £14
Step-by-step explanation:
Divide the pounds from the chairs, in this case £84 / 6 is £14. So each chair costs £14.
What is the sum of -12, 5, and -10?
0-27
0-17
O 17
O 27
Answers
Answer:
The answer is -17
Step-by-step explanation:
Add all the numbers together:
-12-10 is -22
Then -22+5= -17
Porch areas of successful sales are given below decide what study uses population in Parameter
Answers
Remember that a population parameter is a number that describes something about an entire group or population.
The only study that states a conclusion about an entire group or population is the one in the first option.
Answer: Option 1
Just help with the problem and do it quickly please
Answers
SOLUTION
In 2020 black engineers under 30 is 70% of 500, which is
[tex]\frac{70}{100}\times500=350[/tex]In 2021 500 members joined making a total of 1000 members.
The black engineers together are now 50% of 1000, which is 500
So the numbers of black engineers that joined in 2021 becomes
[tex]500-350=150[/tex]Hence the answer is 150
The diagram below shows a pennant in the shape of an isosceles triangle. The equal sides each measure 13, the altitude is x+7, and the base is 2x. 13 x + 7 2x 13 What is the length of the base? Your answer
Answers
we have that
the altitude divide the isosceles triangle into two congruent right triangles
so
Applying the Pythagorean Theorem
(x+7)^2=13^2+x^2
solve for x
x^2+14x+49=169+x^2
simplify
14x+49=169
14x=169-49
14x=120
x=120/14
simplify
x=60/7
Find the length of the base
2x=2(60/7)=120/7
answer is 120/7 unitsWrite an equation of the line passing through point P(0, −1) that is parallel to the line y = −2x+3.
Answers
Answer:
y = -2x - 1
Step-by-step explanation:
Equation of line: y =mx + bHere, m is the slope and 'b' is the y-intercept
y = -2x + 3
m = -2
Parallel lines have same slope.
Substitute m = -2 in the equation,
y = -2x + b
The line is passing through (0 ,-1). So, substitute this point in the equation and find the value of b.
-1 = -2*0 + b
-1 = b
Equation of line:
[tex]\sf \boxed{y = -2x - 1}[/tex]
Determine if each expression is equal to (2) (-3) (-4)(6) (-4)(-3) (8)(12) (2)(-4) (-6)
Answers
The product of the numbers (2) (-3) (-4) is:
[tex]2\times-3\times-4=24[/tex]By verifying the options one after the other, to check which is also equal to 24, we have:
[tex](6)(-4)=-24[/tex][tex](-3)(8)=-24[/tex][tex](12)(2)=24[/tex][tex](-4)(-6)=24[/tex]Hence, the correct options are C and D
Please help fast f(x) = 4x2 - 2x + 4 Find f(-9)
Answers
Answer:
346
Step-by-step explanation:
substitute the -9 for the x and solve. you will get 346 that will be the function of -9 for this equation
the measure of two angle are (8x+24) and (12x-16) what is the value of x if theses angle ar congruent
Answers
Answer: 10
Step-by-step explanation: Congruent means they are the same, so you set up the problem as 8x+24=12x-16. Then you just solve for x. Subtract 8x from both sides to get 24=4x-16. Then add 16 to both sides. 40=4x. Then divide by 4 into both sides to get x=10.
4. Felix and Oscar applied for the same credit card from the same bank.
The bank checked both of their FICO scores. Felix had an excellent
credit rating, and Oscar had a poor credit rating.
a. Felix was given a card with an APR of 12%. What was his
monthly percentage rate?
b. Oscar was given a card with an APR of 15%. What was his
monthly payment?
c. If each of them had an average daily balance of $800 and had to
pay a finance charge, how much more would Oscar pay than Felix?
Answers
A) The monthly percentage rate of Felix is; 1%
B) The monthly percentage rate of Oscar is; 1.25%
C) The amount that Oscar will pay more than Felix is; $2
What is the monthly Percentage Rate?A monthly interest rate is simply how much percentage interest you would be charged in one month while annual percentage interest rate is defined as the percentage interest rate you will be charged annually.
A) We are told that Felix was given a card with APR of 12%.
Thus;
Monthly percentage rate = 12%/12 = 1%
B) We are told that Oscar was given a card with an APR of 15%. Thus;
Monthly percentage rate = 15%/12 = 1.25%
C) We are told that each of them had an average daily balance of $800 for a specific month.
Thus;
Amount paid by Felix = 800 * 1%
Amount paid by Felix = $8
Amount paid by Oscar = 800 * 1.25%
Amount paid by Oscar = $10
Difference in Payments = $10 - $8 = $2
Thus, Oscar pays $0.96 more than Felix.
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You have 400000 saved for retirement. your account earns 7% interest. how much will you be able to pull out each month if you want withdraws for 25 years
Answers
Answer:
$1,426.7
Step-by-step explanation:
Let's say the unit currency is dollars
$400,000
7% of $400,000
= $28,000
400,000 + 28,000
= $428,000
For 25 years,
= 25 × 12
= 300
$428,000/300
= $1,426.7
~ $1,427
The height of a triangle is 3 feet less than the base. The area of the triangle is 230 square feet. Find the length of the baseand the height of the triangle,
Answers
Let b be the base of the traingle
Let h be the height of the triangle
The height of a triangle is 3 feet less than the base:
[tex]h=b-3[/tex]The area of the triangle is 230 square feet.
The area of a triangle is:
[tex]A=\frac{1}{2}(b\cdot h)[/tex]For the given triangle:
[tex]\begin{gathered} A=\frac{1}{2}(b\cdot(b-3)) \\ \\ 230=\frac{1}{2}(b\cdot(b-3)) \end{gathered}[/tex]Solve b in the equation above:
[tex]\begin{gathered} 230=\frac{b^2-3b}{2} \\ \\ 2\cdot230=b^2-3b \\ \\ 460=b^2-3b \\ \\ b^2-3b-460=0 \end{gathered}[/tex]Use the quadratic formula:
[tex]\begin{gathered} ax^2+bx+c=0 \\ \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \\ \end{gathered}[/tex][tex]\begin{gathered} b=\frac{-(-3)\pm\sqrt[]{(-3)^2-4(1)(-460)}}{2(1)} \\ \\ b=\frac{3\pm\sqrt[]{9+1840}}{2} \\ \\ b=\frac{3\pm\sqrt[]{1849}}{2} \\ \\ b=\frac{3\pm43}{2} \\ \\ b_1=\frac{3+43}{2}=\frac{46}{2}=23 \\ \\ b_2=\frac{3-43}{2}=-\frac{40}{2}=-20 \end{gathered}[/tex]As the length of the base cannot be a negative quantity you use the solution 1.
The base of the triangle is 23ft
Use the value of b to find the heigth:
[tex]\begin{gathered} h=b-3 \\ h=23-3 \\ h=20 \end{gathered}[/tex]Then, the given triangle has the next dimensions:base: 23ftheight: 20ftThe area a of a circle is pi times the radius R squared as an equation
Answers
Answer:
pi r squared
Step-by-step explanation:
A=pir2
pi is 3.14
hope it helps
Which exponential function models this situation ?
Answers
Exponential function models is v(x) = 9,000(0.9)ˣ
Lets take two year data (0,9000) and (1,8100)
using the general form of exponential function y = abˣ and substitute value of x and y as (0,9000)
9000 = ab⁰
9000 = a.1
9000 = a
Again using general form of exponential function and taking x and y as (1 , 8100)
8100 = ab¹
substitute a = 9000 in above equation
8100 = 9000×b
b = 8100/9000
b=0.9
putting value of a and b in general form of exponential function
v(x) = 9000(0.9)ˣ is required exponential function model
correct answer is option B
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Sydney measured a line to be 4.9 inches long. If the actual length of the line is 5.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answers
The percent error of the measurement will be 5.8%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Sydney measured a line to be 4.9 inches long.
And, The actual length of the line is 5.2 inches.
Now,
The percent error is calculated as;
The difference between the measures = 5.2 - 4.9
= 0.3 inches
So, The percent error = 0.3/5.2 x 100
= 5.76%
Thus, The percent error of the measurement to the nearest tenth of a percent will be 5.8%.
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8. Ethan earns $13 per hour at his341job. Last week he workedhours. How much did he earn lastweek?A $13.75C $445.25B $442.00D $448.50
Answers
To solve the exercise, first it is convenient to convert the mixed number to decimal:
[tex]34\frac{1}{2}=34+\frac{1}{2}=34+0.5=34.5[/tex]Now, you can use a rule of three:
[tex]\begin{gathered} 1\text{ hour}\rightarrow\text{\$13} \\ 34.5\text{ hours}\rightarrow\text{\$x} \end{gathered}[/tex][tex]\begin{gathered} x=\frac{34.5\text{ hours }\cdot\text{ \$13}}{1\text{ hour}} \\ x=\frac{34.5\cdot\text{ \$13}}{1} \\ x=34.5\cdot\text{ \$13} \\ x=\text{ \$}448.5 \end{gathered}[/tex]Therefore, Ethan did earn $ 448.50 last week.
What is the equation of the line that passes through the point (-8,-8)(−8,−8) and has a slope of 22?
Answers
The slope intercept form of the required line is 2x - y = -8
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Slope of the line = 2
The line passes through (-8, -8)
Equation of the required line-
[tex]y - (-8)= 2(x - (-8))\\y + 8 = 2(x + 8)\\y + 8 = 2x + 16\\2x - y = 8 -16\\2x - y = -8[/tex]
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Solve: -4x + 3 > 27
Please explain and show your work step-by-step.
Answers
The value of x is less than -6.
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, -4x + 3 > 27
-4x + 3 > 27
-4x + 3 - 3 > 27 - 3 → (subtracting 3 from both sides)
-4x > 24
-4x/4 > 24/4 → (dividing by 4 both the side)
-x > 6x
x < -6
Hence, x < -6
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DIRECTIONS: Use this diagram to answer Parts A and B. 60° 55° Part A Find the value of x in the diagram.
Answers
By using the properties of triangles and straight lines we get the values of x as 65° and the value of y as 115°
A) In the given triangles we know that the sum of all the angles is 180 .
Hence :
60 + 55 + c = 180
or, c = 180° - 115°
or, c = 65°
Now the angle marked x is vertical angle to the angle c , hence the value of x is also 65°.
B) Now we know that the value of x is 65°
Again x + y = 180°
Therefore : 65° + y = 180° or, y = 180° - 65° or, y = 115°
Three vertices, three sides, and three angles make up a closed triangle. PQR serves as the symbol for a triangle with the vertices P, Q, and R.
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Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 400 minus quantity y minus 110 end quantity squared over 2304 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number. please help look at the image
100 meters
50 meters
48 meters
40 meters
Answers
The width of the cooling tower at the base of the structure is 40 meters.
What is defined as the ellipse?An ellipse is a closed curve made up of points for whom distances from two points (foci) each add up to a single value. The center is the midpoint between the foci. One property of the an ellipse that the reflection of a line from one focus off its boundary will pass across the other.For the given question,
The equation modelling the cooling tower's walls is -
x²/400 - (y-110)²/2,304 = 1
This can be written as;
x²/20² - (y-110)²/48² = 1
Comparing the equation with the standard form of ellipse;
(x-h)²/a² - (y-k)²/b² = 1
The base of the ellipse will be its major axis,
That is 2a.
Thus,
For the width of the colling tower.
Cooling tower width =2√400
Cooling tower width = 2×20
Cooling tower width= 40 meters
Thus, the width of the cooling tower at the base of the structure is 40 meters.
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