All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What is the shape of the cross-section resulting from the cut?.

Answer:

C

Step-by-step explanation:

∠ ABC = 90° ( angle in a semicircle )

Using the cosine ratio in right triangle ABC and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent }{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{10}{AC}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

AC × [tex]\sqrt{3}[/tex] = 20 ( divide both sides by [tex]\sqrt{3}[/tex] )

AC = [tex]\frac{20}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ( rationalising denominator )

AC = [tex]\frac{20\sqrt{3} }{3}[/tex]

radius AO = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × [tex]\frac{20\sqrt{3} }{3}[/tex] = [tex]\frac{10\sqrt{3} }{3}[/tex] → C

Answer:

D)

Step-by-step explanation:

100 - 32 + 24/4 * 2

100 - 32 + 6 * 2

100 - 32 + 12

100 - 32 + 12 = 80

Answer:

your answer would be C.

Step-by-step explanation:

even though it looks like you would do 24/4 you would actually multiply first. you would multiply 4 by 2 and then you would divide and then add and then subtract. You could use PEMDAS here again. since there's no parentheses and no exponents then you multiply and then divide and then go on to add and then subtract.

also sorry for the late response my data didn't want to work because I currently in school

250:10

125:5

100:4

Step-by-step explanation:

ratio of y to x

Answer:

In short, Your Answer would be either 1 or 7

Step-by-step explanation:

|4x + 12| = 16

As it is in modulus function, it could be either +ve or -ve

4x+12 = 16   OR   4x - 12 = 16

4x = 16-12    OR   4x = 16 + 12

4x = 4           OR   4x = 28

x = 4/4     OR  x = 28/4

Answer:

D. The limiting value of the city population is 187,600 people.

Step-by-step explanation:

I'm honestly not sure, but it's based on the 187.6 on top of the equation. Correct on Edge 2021

or, l + b = 22

or, b = 22 - l ...(i)

or, 22l - l^2 -72 = 0

or, l^2 - 22l + 72 = 0

or, l^2 - 4l - 18l + 72 = 0

or, l(l - 4) - 18(l - 4) = 0

or, (l - 4)(l - 18) = 0

or, l = 4 or l = 18

Answer:

B) 4 inches and 18 inches.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

121 for both

Step-by-step explanation:

if we split the shape in the middle, we get two congruent triangles.

divide each angle by 2, and you will get 24 and 35.

The rule of angles within a triangle is that all of them must equal 180.

so

180-(24+35)

180-59

=121 degrees for both k and m

:)

Answer:

The answer is 121 for both k and m!! Hope this helps

Step-by-step explanation:

Add 70 and 48 which is 118 then subtract it to 360(always) which is 242 then divide it by 2 since theres 2 sides which you get 121

Answer:

50% 250x2=450

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

$225 x 2 = 450

this means the cell phones price was reduced by 50%

glad to help ;)

Answer:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X

Step-by-step explanation:

[tex]\dfrac{d}{dx} \left(e^{x^2} \cdot x^2\right)\\\\=e^{x^2} \dfrac{d}{dx} (x^2) + x^2 \dfrac{d}{dx}\left (e^{x^2}\right)\\\\=e^{x^2} \cdot 2x + x^2 \cdot e^{x^2} \cdot \dfrac{d}{dx} (x^2)\\\\=2x e^{x^2} + 2x^3 e^{x^2}\\\\=2xe^{x^2}(1+x^2)[/tex]

Answer:

184 boxes

Step-by-step explanation:

Hope it helps:)

Answer:

No factors.

3 - x^2 is prime.

Step-by-step explanation:

Answer:

y=1/2x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-5=1/2(x-2)

y=1/2x-2/2+5

y=1/2x-1+5

y=1/2x+4

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

If you're satisfied with the answer, then please mark me as Brainliest. Thank you.

The amount that William would save by paying cash instead of credit card is $1

This refers to the amount deducted from the value of a certain commodity so that there would be a reduced price for the good.

Hence, given that there is a discount of $0.05 per gallon if you pay with cash

William fills 20 gallons of gas

The amount saved by paying cash by William would be 0.05 * 20 = $1

Read more about discount here:

https://brainly.com/question/23865811

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Answer:

x is either 77 or -47

Step-by-step explanation:

Answer: either 77 or -47

Step-by-step explanation:

Answer:

3x5=15

5x3=15

Step-by-step explanation:

Answer:

9,500x12%= $1,140

He earned $1,140

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

5 2/3 - 2 1/2 = 3 2/3 - 1/2 = 3 4/6 - 3/6 = 3 1/6

Answer:

y = -2x+9

Step-by-step explanation:

To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is

y = mx+b

In this case the rate of change is -2x because each figure loses 2 blocks as it goes.

You can also see the the initial figure 1 has 9 blocks so this is our constant

With this information we can create the equation y = -2x+9

m = -2

x = x

b = 9

If more aid is needed a simple search of (Visual Pattern - Writing an Equation and Creating a Table) will help you with a video easily.

The total tax paid is $2,300 on the yearly salary of $50,000

What tax rate applies to the first $10,000 of salary?

The first $10,000 of the salary would be charged to tax at 3% whereas the next threshold beyond $10,000 up until $50,000, in other words, the difference between the first $10,000 and $50,000, which is $40,000 is taxed at 5%.

The tax on the first $10,000 is computed as shown below:

tax on the first $10,000=$10000*3%

tax on the first $10,000=$300

The tax on the remaining $40,000 is 5% of the amount

The tax on the remaining $40,000=5%*$40,000

The tax on the remaining $40,000=$2,000

In other words, the total tax paid on the $50,000 annual salary is the sum of $300 and the $2000

total tax paid=$300+$2,000

total tax paid=$2,300

Find out more about personal income tax on:https://brainly.com/question/13793671

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Answer:

1. 10/1×1/5

2.5/1×1/3

3.1/2×1/4

Step-by-step explanation:

to turn it into a multiplication problem, turn the second fraction into its reciprocal (flip the numerator and denominator )

The economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

The business cycle consists of the following stages which changes with time;

Thus, when the economic output is rising and is expected to continue rising in the coming months, the economy is currently in the expansion stage of the business cycle.

Learn more about business cycle here: https://brainly.com/question/904465

Answer:

THX santa

Step-by-step explanation:

Answer:

3/12 or 1/4

Step-by-step explanation:

Answer:

1/4 is the answer.

Step-by-step explanation:

3/4 x 1/3​

=> 3/12

=> 1/4

Therefore, 1/4 is the answer.

Hoped this helped.

Answer:

No it is not a factor of 56

Answer:

No

Step-by-step explanation:

6,12,18,24,30,36,42,48,54,60

Answer:

-162

Step-by-step explanation:

Answer:

your answer is -162

Step-by-step explanation:

if you owe someone 150 dollars and then you owe them another 12 dollars you'll owe them a total of 162 dollars. Your losing 162 dollars which is -162 form the amount that you have

Answer:

3 1/8, 8 1/5, 8 1/3

Step-by-step explanation: