11 The two trapezoids shown below are
similar.
6 cm
120°
T
120°
10 cm
60°
W
80°
60°
16 cm
What is the length in centimeters of WT?
A 10 cm
B 3.8 cm
C 12 cm
D 9.6 cm

11 The Two Trapezoids Shown Below Aresimilar.6 Cm120T12010 Cm60W806016 CmWhat Is The Length In Centimeters

Answers

Answer 1

Answer:

9.6 (D)

Step-by-step explanation:

You know that when they are similar, they have a ratio. Assume that WT is x. 6:10 is the ratio, or 3:5.

So, what number is x when x:16=3:5?

(two ways)

1. You can cross multiply

x/16 = 3:5, 3x16=5x

48=5x

x=9.6

2. You can do it by looking at the answer choices and simplifying them.

10:16=5:8

NO

3.8:16=1.9:8

NO

12:16=3:4

NO

9.6:16=4.8:8=

2.4:4

0.6:1

6:10

YES


Related Questions

4+2 (x-1)=13
Find the value of for X


(Show working out)

Answers

Answer:

[tex]x = \frac{11}{2}[/tex]

Step-by-step explanation:

4+2 (x-1)=13

⇒ 2 (x - 1) = 13 - 4

⇒ 2 (x - 1) = 9

⇒ 2 x - 2 = 9

⇒ 2 x  = 9 + 2

⇒ 2 x  = 11

⇒  x  = 11/2

Which function is represented by this graph?
O A. 1x) = |x+7|-3
O B. 1x) = |x-7| -3
O C. 1x) = |x+3|-7
O D. 1x) = |x-3|- 7

Answers

It’s C. PLATO USERS i took test all correct

Wyatt is hiking a trail that is 11/12 mile long. After hiking 1/4 mile, he stops for water. He continues hiking another 1/6 mile and stops to rest. How much farther must he hike to finish the trail ?​

Answers

Answer:

the answer in the simplest form is 1/2 miles and if it's not in its simplest form is 6 /12 .hope it helps.

Step-by-step explanation:

Answer:

R.d. = 1/2 mile

Step-by-step explanation:

Facts of note

Total distance to be covered = 11/12 mileDistance covered = 1/4 + 1/6 = 3/12 + 2/12 = 5/12 mile

Solving

Remaining distance = Total - coveredR.d. = 11/12 - 5/12R.d. = 6/12R.d. = 1/2 mile

someone please help find the perimeter

Answers

Answer:

26 metres

Step-by-step explanation:

(Assuming this is for the whole shape)

5 + 5 + 4 + 8 + 4

= 26 m

A local weather enthusiast wants to see if the last five summers have been warmer than normal for eloy, arizona. from the national oceanic and atmospheric administration (noaa), he knows the 30-year average for july was 90° with a standard deviation of 2.1°. the last five summers recorded have an average of 93.5°. if he uses a = 5%, which of the following would be valid based on the data he has gathered? he can conclude that the summers have been warmer than the 30-year average. he can conclude that the summers will continue to be warmer for the next 10 years. he does not have enough information to make a decision. the average for the last five years fits with the 30-year average.

Answers

For the local weather of Eloy, Arizona, the average for the last five years fits with the 30-year average.

What do you mean by standard deviation?

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of a population

N = number of observations of population

X = mean

μ = population mean

The 30-year average for July was 90°. The standard deviation for this average is 2.1°. Thus, the temperature lies in the range around of 90° in July.

Therefore, the range of the temperature is,

t = 90 - 2.1 = 87.9

t = 90 + 2.1 = 92.1

The last five summers recorded have an average of 93. 5° and the value of a is 5%. Thus, the reduction is,

t = 92 - (92 x 2.5/100)

t = 89.70

This value of temperature lies in the range of 87.9-92.1 degrees Celsius. Hence, the two averages are probably the same.

Hence, for the local weather of Eloy, Arizona, the average for the last five years fits with the 30-year average. Option D is correct.

Learn more about the standard deviation here;

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Answer:

D, The average for the last five years fits with the 30-year average.

Step-by-step explanation:

edge

Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be?

A) 0.96 inches
B) 9.6 inches
C) 16 inches
D) 48 inches

Answers

Answer: B) 9.6 inches

Step-by-step explanation:

       We will set up a proportion to solve. I will have the width of the model (in inches) as my numerator, and the height of the model (in inches) as the denominator.

-> To convert feet into inches, we multiply by 12.

       [tex]\displaystyle \frac{120}{144} = \frac{8}{x}[/tex]

       Cross multiply:

120 * x = 144 * 8

120x = 1,152

       Divide both sides of the equation by 120:

x = 9.6

9.6 inches

           The height should be B) 9.6 inches.

Find the area of a
square that has a side
length of 3 1/2 cm

Answers

Answer:

12.25cm2

Step-by-step explanation:

Area of a square= S ×S

3 1/2 × 3 1/2 = 3.5×3.5 = 12.25

The baseball diamond at a playground is a square with sides that measure 70 feet. About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth.
A baseball diamond represented by a square oriented so that the diagonal of the square running from home plate to 2nd base is vertical.
70 feet
140 feet
9,800 feet
99 feet

Answers

Answer:

70 if you walk directly across, 140 if you're running the bases

Step-by-step explanation:

So, if the distance between one is 70, than from home>first>second is 140 feet. Because it is a square, if you travel across the field from home directly to second, it is half that distance and only 70.

ASAP PLEASEHELP ME WILL GIVE 50 POINTS AND MARK BRAINLIEST



A company has released the following possible designs for a new cereal box. The cost of production depends upon the cost of materials, which is determined by how much material is used. The amount of material used is equal to the surface area of the package plus some overlap. The amount of product contained in the package is the volume of the packaging.

Find the surface area and volume of the following possible cereal boxes. Determine the cost of making the cereal box assuming that cardboard costs $0.05 per square inch.​

Answers

Answer his question

what are the features of the function f(x)=-log2(x+8)graphed below

Answers

Answer:

what graph?

Step-by-step explanation:

Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1? f(x) = 3x2 5x 4 f(x) = 3x2 15x 12 f(x) = 3x2 – 5x 4 f(x) = 3x2 – 15x 12

Answers

A second degree polynomial function f (x) that has a lead coefficient of 3 and roots 4 and 1 is: [tex]3x^2-15x+12[/tex]

What is polynomial?

An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

For this case we have that the following function complies with the given conditions:

[tex]f(x)=3x^2-15x+12[/tex]

To prove it, let's find the roots of the polynomial:

[tex]3x^2-15x+12=0[/tex]

By doing common factor 3 we have:

[tex]3(x^2-5x+4)=0[/tex]

Factoring the second degree polynomial we have:

[tex]3(x-1)(x-4)=0[/tex]

Then, the solutions are:

Solution 1:

[tex]x-1=0 \ or \ x=1[/tex]

Solution 2:

[tex]x-4=0\ \ or \ x=4[/tex]

Hence A second degree polynomial function f (x) that has a lead coefficient of 3 and roots 4 and 1 is:[tex]3x^2-15x+12[/tex]

To know more about Polynomials follow

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Answer:

f(x) = 3x² – 15x + 12

Step-by-step explanation:

I got it right on the unit test for edge

y + 6 = 5(x – 4)
Write a formula fpr f(x) in terms of x.

Answers

Answer:

f(x) = 5x - 26

Step-by-step explanation:

y + 6 = 5(x - 4) ← distribute parenthesis by 5

y + 6 = 5x - 20 ( subtract 6 from both sides )

y = 5x - 26

Now y = f(x) , then

f(x) = 5x - 26

Answer:

f(x) = 5x - 26

Step-by-step explanation:

y + 6 = 5(x – 4)

Distribute

y +6 = 5x - 20

Solve for y

y +6-6 = 5x-20+-6

y = 5x - 26

Replace y with f(x)

f(x) = 5x - 26

The survey included 80 students. How many students chose bananas?

Answers

Answer:

20 Students chose bananas.

Step-by-step explanation:

You can see that the bananas take up 25% or 1/4 of the chart. To find 1/4 of a number find half of the number twice. Half of 80 is 40 and half of 40 is 20. So, 20 students chose bananas.

The speed of the jet Alyssa flew on from Boston to London was 480
mph. On her return flight, the speed of the jet was 600 mph with a tail
wind. What was Alyssa's average speed on the round trip? Round your
answer to one decimal place.

Please help ASAP!!!
Will mark brainiest!!!!!

Answers

Answer:

  533.3 mph

Step-by-step explanation:

You want the average round-trip speed if the speed to London was 480 mph and the return trip to Boston was 600 mph.

Speed

The average speed will be the total distance divided by the total time. The time is found by dividing the distance by the speed.

If the distance is d, the total time in hours is ...

  d/480 +d/600 = (3/800)d . . . . . hours

Then the average speed is ...

  2d/(3/800d) = 1600/3 ≈ 533.3 . . . . miles per hour

Alyssa's average speed on the round trip was 533.3 mph.

__

Additional comment

In the real world, eastbound speeds are usually faster than westbound speeds.

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which figure is a rotation of figure A?

Answers

Answer:

Figure D would be an 180 degree rotation of Figure A

Step-by-step explanation:

Figure B would have to be tilted to the right some more, and Figure C is all out of wack leaving Figure D

Answer:

Figure D

Step-by-step explanation:

From Figure A to B, it looks like a reflection (like a mirror) (over the y-axis)

From Figure A to C, it looks like a translation (5 units down) (x - 5, y)

From Figrue A to C, it looks like a rotation

Therefore, our final answer is Figure D

Hope this helps!

Sally bought a soft drink for 4 dollars and 8 candy bars. She spent a total of 28 dollars. How much did each candy bar cost?​

Answers

Answer:

$3

Step-by-step explanation:

If the soda was $4 and she spent a total of $28

then you do 28-4 to get the amount she spent on candy bars so 28-4 is 24 and divide 24 by 8 and you get 3

Change a speed of 630 kilometres per hour to a speed in metres per second. Show your working

Answers

Answer:

1750 m/s

Step-by-step explanation:

1km = 1000m

1 hour = 60 minutes = 3600 seconds

( 630 * 1000 )/ (60 * 60)

= 1750 m/s

3. What is the surface area of this composite solid? Show your work.
5 ft
5 ft
3 ft
4 ft
10 ft
8 ft

Answers

By finding the area of the simpler parts, we will see that the total surface area of the figure is 348 ft^2

How we do get the surface area?

We can divide this in smaller parts. First, remember that for a triangle of base b and height h, the area is:

A = b*h/2

Then for each of the triangles in the image, the area is:

A = 8ft*3ft/2 = 12 ft^2

And we have two of these.

Then we have the base, a rectangle of 8ft by 10ft, with an area:

A' = 8ft*10ft = 80ft^2

Then we have the front and back sides, rectangles of 8ft by 4ft, with an area:

A'' = 8ft*4ft = 32 ft^2  (we have two of these).

Then the lateral sides, rectangles of 10ft by 4ft, with an area:

A''' = 10ft*4ft = 40ft^2  (we have two of these)

Finally, we have the top rectangles, of 5ft by 10ft, each with an area:

A'''' = 5ft*10ft = 50ft^2 (we have two of these).

Adding all the areas, we get:

Area  = 2*(12 ft^2 + 32 ft^2 + 40ft^2 + 50ft^2) + 80ft^2 = 348 ft^2

If you want to learn more about areas, you can read:

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At lunch, kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week? 490x 700y < 4000 490x 700y ≤ 4000 490x 700y > 4000 490x 700y ≥ 4000

Answers

The inequality represents x, and y, she can eat each week is,

490x+700y \leq 4000.

x be the number of microwave burritos

y be  the number of peanut butter sandwiches

we know that

[tex]490x+700y \leq 4000[/tex].........inequality that represents the situation

What is the meaning of inequality?

The mathematical expression in which the sides of an equation are not equal to each other.

we use a graphing tool

The solution is the shaded area

Please find  the attached figure

Therefore,the answer is 490x+700y \leq 4000

To learn more about the inequality visit:

https://brainly.com/question/19104371

help me find the surface area of this shape please

Answers

Step-by-step explanation:

Divide the solid into 2 cones.

SA of a cone

= πrl

l of cone 1

l² = r² + h²

l² = 9² + 12²

l² = 81 + 144

l² = 225

l = √225

l = 15cm

SA of cone 1

= πrl

= π × 9 × 15

= π × 135

= 135π

l of cone 2

l² = r² + h²

l² = 9² + 40²

l² = 81 + 1600

l² = 16081

l² = 126cm

SA of cone 2

= πrl

= π × 9 × 126

= π × 1134

= 1134π

SA of solid

= 135π + 1134π

= 1269π

Maria has decided that she wants to earn all A's and B's throughout high school. She has set a short-term goal to earn no grade lower than a C on any test. Even though she studied, she earned a C on her geometry test. Being determined to reach her goal, she decides to go to extra study sessions her geometry teacher provides. What does this demonstrate about Maria

Answers

The fact that Maria has decided to still put in more effort to get no grade lower than C shows that c. she is able to set and evaluate her goals.

What can be said about Maria?

Maria was able to set goals on the grades that she would like to earn throughtout her high school.

She was also able to evaluate her progress when she saw that she hadn't reached her overall goal. This then led to her taking even more lessons.

In conclusion, option C is correct.

Find out more on setting goals at https://brainly.com/question/24231566.

What is the area, in square feet, of the rectangle shown below?​

Answers

Answer:

Step-by-step explanation:

A = l x w

l = length

w = width

Formula:

6 4/5 x 4 3/4

First, multiplying the integers:

6 x 4 = 24

Then you multiply the fractions(top x top and bottom times bottom):

4/5 x 3/4 = 12/20

Simplify:

12/20 = 3/5

Giving you 24 3/5

I hope this helps :)

Suzie paid a total of \$324$324dollar sign, 324 for xxx tickets to a rock festival.

How much did each ticket cost?

Write your answer as an expression

Answers

Answer:

324 over x is the answer

Step-by-step explanation:

khan told me.

ik ur searching probs from khan hehe plol

The cost of each ticket as an expression is $324/x

Ratio and proportion

Ratios are written as fractions. For instance a/b can be written as a:b.

If Suzie paid a total of $324 for x ticket to rock a festivel, this is expressed as;

$324 = x ticket

The cost of each ticket is given as;

y = 1 ticket

324/y = x/1

y = 324/x

Hence the cost of each ticket as an expression is $324/x

Learn more on ratio here; https://brainly.com/question/2328454

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Jennifer has built a shelf which can safely support 16.40 pounds. if there are 2.20462 pounds in a kilogram, how many kilograms can jennifer’s shelf support? a. 7.44 kg b. 13.44 kg c. 32.42 kg d. 36.16 kg

Answers

The weight of Jennifer's shelf if 1kg is equivalent to  2.20462 pounds  is 7.44kg

Ratio and proporrtions

Fractions are written as the ratio of two integers

Given the following

Amount of pounds that Jennifer buuilt = 16.40 pounds

If 1 kg = 2.20462 pounds

Calcualate the measure of shelf in kg
Weight = 16.40/2.20462

Weight = 7.44kg

Hene the weight of Jennifer's shelf if 1kg is equivalent to  2.20462 pounds  is 7.44kg

Learn more on ratio here: https://brainly.com/question/2328454

please help with this math question sceenshot below

Answers

Answer:

that would be the second option (-4,7)(-7,0)(-1,0)

Step-by-step explanation:

The answer is given away once you translate point S to the right 2 and down 3 making the point (-4,7) and there is only one answer with that point.

A philanthropist pledges to donate 18% of a
fund each year. If the fund initially has
$699,000.00, how much will the fund have
after 8 years?

Answers

Answer:

87.375

Step-by-step explanation:

i think it that because you haft to do divison

Which expression represents the surface area of the pyramid?

Answers

Answer:

option d

Step-by-step explanation:

36+15+15+15+15

I hope it helped you


. After consulting with his broker, Dan Hostetler purchases 2,000 shares of Ballon
Synergy stock at $4.10 per share. He also purchased 500 shares of Matell Scientific
at $26.76 per share. What is the total cost of the stocks including the commission?

Answers

Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. Thus, The total cost of stock including the commission is $15917.

What are stocks?

Stocks are types of security to shareholders that represent fractional ownership of equity in any organization.

Dan Hostetler purchases 2,000 shares of Ballon Synergy stock at $4.10 per share. He also purchased 500 shares of Matell Scientific at $26.76 per share.

We have a number of shares at $44.41 per share = 100

Number of shares at $19.08 per share = 600

Total number of shares = 700

Broker's charges per share = $0.04

Hence, The total cost of the stock including the commission

= Cost of stock + commission

= (100 × 44.41) + (600 × 19.08) + (700 × 0.04)

= 15,917

Thus, the total cost of stock including the commission is $15917.

Learn more about stocks here;

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What is the range of y=−3x2−12x−17?

Question 9 options:

y≤−5

y≥5

x≥−5

x≤5

Answers

Answer: y≤−5

Step-by-step explanation:

Using ε − δ definition of a limit, show that limx→2
x+1
x =
3
2

Answers

The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.

ε − δ definition of a limit?

Epsilon-Delta defines a limit at a finite point that has a finite value.

To find the limit, two variables, delta (δ) and epsilon (ε) are first created then the epsilon region is choosen so as to define a delta region.

[tex]\lim_{x \to 2} x+1=2+1=3[/tex]

The [tex]\lim_{x \to 2} x+1=2+1=3[/tex] using the ε − δ definition of a limit.

Find out more on ε − δ limit at: https://brainly.com/question/17603639

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