Find the surface area and volume of the triangular prism. Remember to show your work on scratch paper.
10 cm
6 cm
5 cm
8 cm

Answer:

-2.8

Step-by-step explanation:

I solved it thats how

Answer:

x =64.5

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

The total circle is 360 degrees

The arc is 360 - 113 - 118

arc =129

x = 1/2 (129)

x =64.5

Answer:

64.5°

Step-by-step explanation:

Using the inscribed angle theorem here would help to find the value of  x°.

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

First find the arc PM. Write an equation to show that the measures of the following arcs: PQ, QM, and PM add up to 360°, since they span an entire circle. Then solve for the arc PM.

mPM + mPQ + mQM = 360°

mPM + 113° + 118° = 360°

mPM + 231 = 360°

mPM = 129°

Now, find m<Q. <Q is an inscribed angle that intercepts the arc PM, so use the Inscribed Angle Theorem.

m<Q = 1/2 * mHJ

         = 1/2 ( 129 )

         = 64.5°

X = 64.5 degrees.

Answer:

Step-by-step explanation:

3/4 * 2 = 1 1/2

The factory made two batches of granola bars.

Answer:

[tex] 1 \frac{1}{6} [/tex]

Step-by-step explanation:

[tex]\huge \frac{7}{6} = 1 \frac{1}{6} [/tex]

Hope it helps you in your learning process.

Answer: D

Step-by-step explanation:

every time x increases by 1 y increases by 5

hope this helps :3

Your answer is 3 times larger.

The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.

We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h

I hope this helps!

Answer:

382.5 in²

Step-by-step explanation:

2 triangles + 3 lateral sides

2(½ × 10 × 9) + (10 × 9) + (9 × 9) + (13.5 × 9)

90 + 90 + 81 + 121.5

382.5 in²

Answer:

[tex]382.5 {in}^{3} [/tex]

Step-by-step explanation:

hope this helps

Given Information:

Number of boxes = 3

Length of boxes = L = 12 inches

Width of boxes = W = 10 inches

Height of boxes = H = 12 inches

Required Information:

Volume of items boxes can hold = ?

Answer:

[tex]Volume = 4320 \: in^{3}[/tex]

Step-by-step explanation:

We are given that Luke bought 3 canvas boxes to store his papers.

We are also provided the dimensions of boxes.

We are asked to find out the volume of items that can be stored by these 3 canva boxes.

A canva box has shape of a rectangular prism and its volume is given by

[tex]Volume = L \times W \times H[/tex]

Where L is the length of the box, W is the width, and H is the height of box.

[tex]Volume = 12 \times 10 \times 12 \\\\Volume = 1440 \: in^{3}[/tex]

So the volume of 3 boxes is

[tex]Volume = 3\times 1440 \\\\Volume = 4320 \: in^{3}[/tex]

Therefore, the 3 canva boxes can store 4320 cubic inches of volume.

Answer:

D) 4,320

Step-by-step explanation:

Answer: 25% of the students said orange was their favorite color.

50% of the students said either green or orange was their favorite color.

Step-by-step explanation:

The statements about the circle graph are correct;

C. 25% of the students said orange was their favorite color.

D. 50% of the students said either green or orange was their favorite color.

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

Given that circle graph titled Favorite Colors. 50 percent is blue, 25 percent is orange, 25 percent is green.

In total, there are 100 students.

50 %is blue,

25 %is orange,

25 %is green.

Therefore,  25% of the students said orange was their favorite color and 50% of the students said either green or orange was their favorite color.

More can be learned about circle graph at;

https://brainly.com/question/16483602

#SPJ2

Answer:

x=1  y=3

Step-by-step explanation:

y = 4x - 1

y = -3x + 6

Set the two equations to each other

4x - 1  = -3x + 6

Add 3x to each side

4x +3x - 1  = -3x+3x + 6

7x-1 =6

Add 1 to each side

7x-1+1 = 6+1

7x= 7

Divide each side by 7

7x/7 = 7/7

x=1

Now we can find y

y = 4x-1

y = 4(1)-1

y = 3

Answer:

540 cups

Step-by-step explanation:

Number of cone shaped cups = Volume of cylinder/volume of cone

Cylinder:

r = 10 inches

h = 36 inches

Volume = πr²h

           = π * 10*10*36

           = 3600 π cubic inches

Cone:

r = 2 inches

h = 5 inches

Volume = (1/3)πr²h

[tex]=\frac{\pi*2*2*5 }{3}\\\\=\frac{20\pi }{3} cubic inches[/tex]

Number of cones = 3600 π / (20π/3)

                          [tex]= 3600\pi *\frac{3}{20\pi }\\\\= 180*3[/tex]

                         =  540

Answer:

1100

Step-by-step explanation:

I just guessed!

Answer:

50g sugar, 100g butter and 400g flour

Step-by-step explanation:

You need to find the ingredient that is the limiting factor, in this case it is flour, because you relatively need the most of that.

If all 400g flour is used, you need 4 times less grams of butter, since the ratio between butter and flour is 2 : 8 and they differ by a factor of 4.

That gets you 400/4 = 100g butter, so in fact you're not using 200g of the remaining butter.

Likewise, you'll need 400 / 8 grams of sugar, which is only 50g.

So at least one of the ingredients you'll completely use, the other ones you need less according to the ratio.

Answer:

1/18

Step-by-step explanation:

Let x represent the total birthday money

And y the amount of each video games

Given;

You spent 1/3 of your birthday money on 6 video games

6y = (1/3)x ......1

Since each of the six video games cost the same.

The fraction of your birthday money that each video game cost is;

from equation 1, making y the subject of formula;

6y = (1/3)x

divide both sides by 6;

y = (1/3)x × 1/6 = (1/18)x

Therefore, each video game cost 1/18 of the total birthday money.

Answer:

39.96 should be the right answer

Answer: 39.96

Step-by-step explanation:

36+1.80=37.80

Then you add 2.16

37.80+2.16=39.96

Answer:

Eminem.

Rakim.

Nas.

Andre 3000.

Lauryn Hill.

Ghostface Killah.

Kendrick Lamar.

Lil Wayne

Step-by-step explanation:

Answer:

Logic

Step-by-step explanation:

Answer:

y int. of line 1 = 0

y int. of line 2 = 4

Step-by-step explanation:

hope this helps! moo!

Answer:

Answers are below

Step-by-step explanation:

The y-intercept of line 1 is 0 because it crosses the y-axis at 0.

The y-intercept of line 2 is 4 because it crosses the y-axis at 4.

Answer:

the two opposite angles equal 45 and the other two who are twice the amount is 90

Step-by-step explanation:

sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be

x+x+2x+2x=360

8x=360

x=45

so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90

Answer:

Molecules in both the metal and the surrounding air will start moving at lower speeds?

Step-by-step explanation:

I'm not sure this is the right answer, because i thought that the air and the metal would be in equilibrium.

So sorry if this is wrong, chemistry isn't my strongest subject.

Answer:

The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down.

Step-by-step explanation:

Answer:

x = -0.4

Step-by-step explanation:

First subtract the 0.4 from both sides. Then divide both sides by -9 to solve for x.

Answer:

-0.4

Step-by-step explanation:

Subtract 0.4 from both sides.

-9x + 0.4 = 4

       -0.4    -0.4

-9x = 3.6

Divide both sides by -9.

-9x/-9 = 3.6/-9

Simplify

x = -0.4

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Answer:

G. Oatmeal is the favorite type of cereal for 15% of the children

Step-by-step explanation:

Oatmeal is 15/50 of the students' favorites, so it would actually be 30% therefore it is not supported. Hope this was helpful! :)

Answer:

10

Step-by-step explanation:

10 x 2 = 20

10 = 20 / 2

Answer:

10

Step-by-step explanation:

2×1=2

2×2=4

2×3=6

2×4=8

2×5=10

2×6=12

2×7=14

2×8=16

2×9=18

2×10=20

Answer:

-∞ < x < ∞

Step-by-step explanation:

∑ xⁿ / n^(2ⁿ)

Apply ratio test:

lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] / [xⁿ / n^(2ⁿ)] |

lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] × [n^(2ⁿ) / xⁿ] |

lim(n→∞) | x n^(2ⁿ) / (n+1)^(2ⁿ⁺¹) |

0

The series converges for all values of x.

Step-by-step explanation:

It sounds like you are looking for a rectangle.So to find the area you would multiply 7 by 4 to get 28 square feet for the area.

Answer:

b 24/25

Step-by-step explanation:

SOHCAHTOA

tan is Opposite over Adjacent sides of the triangle from the perspective of angle A

so the opposite side was 24 and the adjacent side was 25

so the answer is 24/25 aka B

Answer:

First, you get both of them with same denominator:

3/7 and 2/3 => 9/21 and 14/21, however, there are only 4 rational numbers between 9/21 and 14/21.

The solution is that you can raise the denominator 2 times:

9/21 and 14/21 => 18/42 and 28/42

Now you can select : 19/42, 20/42, 21/42, 22/42, 23/42. They are a group of  5 rational numbers you are looking for.

Answer: 20%

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 1/5 as a percent, we need to find a fraction equivalent to 1/5 that has a 100 in the denominator.

We can do this by setting up a proportion.

[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{1}{5} = \frac{n}{100}[/tex].

Now, we can use cross-products to find the missing value.

So we have (1)(100) which is 100 is equal to (5)(n) or 5n.

So we have 100 = 5n.

Next, dividing both sides of the equation by 5, we have 20 = n.

So 1/5 is equal to 20/100 or 20%

Answer: it has infinite solutions.

Step-by-step explanation:

[tex]y=3x-4\\-3y=-9x+12[/tex]

Plug y in the second equation.

[tex]-3y=-9x+12\\-3(3x-4)=-9x+12\\-9x+12=-9x+12\\-9x+9x=12-12\\0=0[/tex]