Work out the size of angle x.
105°
to

Given:

A figure of a triangular prism.

Height of triangular base = [tex]9\dfrac{2}{3}[/tex] yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

[tex]V=Bh[/tex]              ...(i)

Where, B is the area of triangular base and h is the height of the prism.

Area of triangular base is:

[tex]B=\dfrac{1}{2}\times base\times height[/tex]

[tex]B=\dfrac{1}{2}\times 4\times 9\dfrac{2}{3}[/tex]

[tex]B=2\times \dfrac{29}{3}[/tex]

[tex]B=\dfrac{58}{3}[/tex]

Putting [tex]B=\dfrac{58}{3}[/tex] and h=4 in (i), we get

[tex]V=\dfrac{58}{3}\times 4[/tex]

[tex]V=\dfrac{232}{3}[/tex]

[tex]V=77.33...[/tex]

[tex]V\approx 77.3[/tex]

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.

Answer:

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Step-by-step explanation:

m=1-2/-7-(-7)

m=-1/0

x=0 slop

the line will be vertical and the slope is undefined

Answer:

1. no

2. yes

Step-by-step explanation:

,

TSA 294000 IS THE TOTAL AREA OF A CUBOID 0.7

Answer:

yes it is safe.

Step-by-step explanation:

Tan^-1 (5.8/1.5)

theta = 75.5

yes, it is safe

The angle is between 70° to 80°.

Yes, the ladder is safe.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

From the figure,

tan Θ = 5.8 / 1.5

Θ = tan (5.8 / 1.5)

Θ = 75.5°

The angle is between 70° and 80°.

Thus,

The ladder is safe.

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Answer:

There are two lines of symetry.

Answer:B

Step-by-step explanation

its B

Answer:

tangent angle T = 2.3999

Step-by-step explanation:

sin T = 48/52 = 0.9231

angle T = 67.3801 degrees

tangent angle T = 2.3999

Answer:

Step-by-step explanation:

Using the same proportion as the previous question

11/x = x / 8                   Cross multiply

x^2 = 88                     Factor 88 into at least 1 perfect square and something

x^2 = 4 * 22                Take the square root of both sides    

x = sqrt(4 * 22)

x = 2*sqrt(22)

Answer:

the probability of pulling a marble that is not green is 7/10

Answer:

- 7 / 10

- 70%

Step-by-step explanation:

4 red + 3 green + 2 yellow + 1 blue = 10 marbles

If you remove green marbles:

4 red + 2 yellow + 1 blue = 7 marbles

So the probability of not pulling a green marble is 7 out of 10.

Answer:

5 quarts

Step-by-step explanation:

3.5 gal - 9 quarts = 1.25 gal, or 5 quarts.

The number of quarts of maple syrup Ray has left is 4.75 quarts.

Subtracting fractions include the subtraction of two or more fractions with the same or different denominators. Like fractions can be subtracted directly but for unlike fractions we need to make the denominators same first and then subtract them.

Given that, Ray has [tex]3\frac{1}{2}[/tex] = 7/2 =3.5 gallons of maple syrup.

Ray fills [tex]9\frac{1}{4}[/tex] = 37/4 = 9.25 quarts.

We know that, 1 gallon = 4 quarts

Here, the number of quarts of maple syrup left

= 3.5×4-9.25

= 14-9.25

= 4.75 quarts

Therefore, the number of quarts of maple syrup Ray has left is 4.75 quarts.

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Answer:

D.) or (2, -1)

Step-by-step explanation:

Answer:

triangle

Step-by-step explanation:

lateral surface area of this cylinder is 1584/7 or 226.28...cm square.

The  lateral area of the cylinder is 226.2 cm² .

The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface.

For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder:

A = 2πrh.

According to the question

radius of cylinder = 3 cm

height of cylinder = 12 cm

The lateral area of the cylinder:  

A = 2πrh

A = 2 * [tex]\frac{22}{7}[/tex] * 3 * 12

A = 226.2 cm²

Hence, the  lateral area of the cylinder is 226.2 cm² .

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-60 percent of the pizza have 12 slices. In total there are 216 slices in these pizza

-40 percent of the pizza have 10 slices. in total there are 120 slices of pizza

- there are 336 pizza slices

Answer:

7x-2+5x-10+4x=180°

16x-12=180

16x=192

x=192/16

x=12

Answer:

Both the angles and sides are congruent.

Answer:

B

Step-by-step explanation:

I think

Answer:

9,000 is the answer you are looking for

Answer:

jmk=54, Hml, 54, LMK=126, HLK=90, JKL=90

Step-by-step explanation:

Answer:

27°

Step-by-step explanation:

We solve the above question using the Trigonometric function of Sine

sin theta = opposite/Hypotenuse

Opposite = 5

Hypotenuse =11

sin theta = 5/11

theta = arc sin (5/11)

theta = 27.035691789°

Approximately = 27°

Angle m<M = 27°

Answer:Ok I This question can be solved using a system of equation, which requires translating the above word problem into something that can be algebraically

Let O=oranges and  Let G=Grapefruit

5O +8G=235

3O + 2G=85

To solve, you must isolate one of the variables and then work from there. To do that multiply both sides of the bottom or second equation by four and then subtract the bottom equation from the top.

Which would look like this

5O +8G=235

12O + 8G= 340

Then subtract the bottom from the top to get this

-7O=-105

Solving for O we divide both sides by -7, and end up with O=15

Plugging that value back into one of our original equations to solve for G we get this

3(15) + 2G= 85

45 +2G=85

2G=40

G=20

So 1 case of each altogether would equal 15+20, or $35.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Much like when you divide by a negative number, the sign of the inequality must flip! ... When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!

Step-by-step explanation:

Answer:

It switches sides

Step-by-step explanation:

Example 2<4, 2<4(-2)=2<-8

Answer: Choice D

They should be blocked by pain resistance so the subjects are as similar as possible.

============================================================

Explanation:

The process of blocking in statistics is where we group up people in blocks, and each block is determined by a characteristic of some sort. In this case, we're grouping people up by pain resistance level. Those very resistant to pain will be in one group, while those who easily feel pain will be in another block, and so on. It might be effective to have a pain scale and sort people by that.

Blocking is done so that we eliminate unwanted variability. We are testing the effectiveness of the itching cream, so all we care about is if the itch reduces or not. We aren't worried about the levels of pain. However, it says that "Previous studies have shown the effects of treatment may vary based on a subject's pain resistance". So we group up the people by pain tolerance to help eliminate the variability of pain tolerance levels.

This is why choice D is the final answer.

-------------

Extra info:

Answer:D

Step-by-step explanation:

This is due to the question explicitly stating how the previous studies have shown the effects of treatment may vary based on a subjects pain resistance. This leads to the only option that relates to the study's background, D

Step-by-step explanation:

jiihihihgkhkgkgkhlhxgktjgdfafjykhkhlgxgkglgk bmgmgxhlhxgxhlulgmfjRjydhlkgjryeulgmgztjydhdhlcxgdgitxfztugkxygxgfufjjgzgjgjgkxgjzgkxgkxgkxchkxgkxhkxhkhlkxgxkgxtxkhxkgxkgxfjzfjzfizfjzfjzfjzfuxtkxyixgkxgkxxkhckhxg,fjzfjzgjzkgxjgzgk,gmzfjzjfzfjzkxgxjgxgjxgjxgkxgmxmb.bbmvmnv,cnznfzgmxx

= 23.5

hope it helps

In many cities, when someone doesn't pay off an entire fine, the city will add a monthly fee until they do. Watch the video from Last week tonight with john Oliver. Then, imagine Ali gets a $150 ticket for speeding. This time, though, the city adds a $35 fee every month until the ticket is fully paid. Use the table and graph to show what the fine will be, and how much Ali will have saved, after each month. How long will it take to pay off the ticket, and how much will it end up costing in total?