What is the volume of the rectangular prism?
5 cm
6 cm
5 cm

Answer: 38 pages per night

Step-by-step explanation:

Tori used to read an average of 40 pages per night but now she is going at a rate that is 5% slower.

To find the number of pages she is reading now, first find 5% of 40 pages:

= 5% * 40

= 2

Then subtract this figure from 40:

= 40 - 2

= 38 pages per night

By deducting 5% from the reading quantity, the person is reading at 5% less.

Answer: Rounded to the nearest tenth is 5

4.96894409 is the exact answer

Answer:

1.73 units

Step-by-step explanation:

The area of a triangle with sides a, b, c and angles A, B, C is given as

Area = 1/2 bc sin A

Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area

= 1/2 * 4 * 1 * sin 120

= 2 sin 120

= 2 * √3/2

= √3

= 1.732

To the nearest hundredth = 1.73

Answer:

240

Step-by-step explanation:

So to do this problem, you have to find the area of each 2d figure. To start off,  you need to find the top sides. (to make this easier I won't show the work)

Green-  Top & bottom: 16. Sides (4): 28

Pink-  Top & bottom: 8. Sides (4): 20

Now you add it all up.

32+112+16+80=240

Answer:

224 in^2

Step-by-step explanation:

The pink rectangular prism has the dimensions 2 x 4 x 10 and the green has the dimensions 4 x 4 x 7. The formula for the surface area of a rectangular prism is:

2(lw + wh + lh)

We can substitute to find the surface area of both pink and green:

Pink

2(4 x 4 + 4 x 7 + 7 x 4)

2(16 + 28 + 28)

2(72)

144

Green

2(2 x 4 + 4 x 10 + 2 x 10)

2(8 + 40 + 20)

2(68)

136

The sum is 280. We have over-counted the part where the two prisms are next to each other. The area of the counted rectangle is 4 x 7 or 28. We over-counted twice, so we need to subtract 2 x 28 or 56.

280 - 56 = 224 in^2

Answer:

first you will need to break the shape into a semi circle and a triangle.

then solve the area of the semi circle. which is

[tex] \frac{(3.14) \times r ^{2} }{2} \\ [/tex]

[tex] \frac{(3.14) \times 4.6^{2} }{2} \\ = 33.22[/tex]

Then solve the area of the triangle.

First work out the height of the triangle, which is

[tex]13.4 - 4.6 = 8.8[/tex]

then the area. which is

[tex] \frac{1}{2} 4.6 \times 8.8 \\ = 20.24[/tex]

now calc. the two figures. which is

[tex]20.24 + 33.22 \\ = 53.46[/tex]

Answer:

5y-15=180

5y=180+15

5y=195

5y÷5y=195÷5

y=39

Answer:

- 81, 8.54, 8 13/29, 8.6

Step-by-step explanation:

Answer:

∠U=103°

∠V=77°

∠T=103°

∠S= 77°

Step-by-step explanation:

:)

Answer:

d. 625.8

Step-by-step explanation:

LxWxH

L=6 you

W=7 you

H=14.9 yd

(6×7)×14.9

42x14.9

625.8

Answer:

18f

Step-by-step explanation:

just multiply 3 time 6 and keep the variable

Answer:

Step-by-step explanation:

Answer:

(7,5)

Step-by-step explanation:

Answer:

Function B

Step-by-step explanation:

Answer:

90/4=22.5

there are going to be 25 people on 3 of the campsites and 26 on the last one.

Answer:

107

Step-by-step explanation:

Given

See attachment for boat and hiker

Required

The distance between the boat and the hiker

To do this, we make of sine rule.

[tex]\frac{a}{\sin A} = \frac{b}{\sin B} =\frac{c}{\sin C}[/tex]

In this case:

[tex]x = ??[/tex]

[tex]X = 68[/tex]

[tex]a = 66[/tex]

[tex]A = 35[/tex]

So, we have:

[tex]\frac{x}{\sin 68} = \frac{66}{\sin 35}[/tex]

Make x the subject

[tex]x = \frac{66}{\sin 35} * \sin 68[/tex]

Using a calculator, we have:

[tex]x = \frac{66}{0.5736} * 0.9272[/tex]

[tex]x = 115.063* 0.9272[/tex]

[tex]x = 106.68[/tex]

[tex]x \approx 107[/tex]

Answer:

Step-by-step explanation:

Answer:

nah

Step-by-step explanation:

Answer:

2 grams per part

Step-by-step explanation:

200 g /100 parts = 2g per part

Answer: 2Grams

Step-by-step explanation:

200 divided by 100

Answer:

5t - 2t = 84 - 54

3t = 30

t = 30/3

t = 10.

Answer:

25km

Step-by-step explanation:

50 km = x km

1 hr        3 hrs

From there, you cross-multiply and solve for x.

(50 km)*(3 hrs) = (x km)*(1 hr)

x km = (50)*(3)/(1) = 150km

Now, your other question can be answered the exact same way. 30 minutes is the same as 1/2 of an hour, so just put 0.5hrs in where the 3hrs was in the previous problem. So to show you how it works once more, here are your calculations:

50 km = x km

1 hr        0.5 hrs

(50 km)*(0.5 hrs) = (x km)*(1 hr)

x km = (50)*(0.5)/(1) = 25km

I hope that helps!

Answer: D

Step-by-step explanation:

Answer:

D

B

A

C

Step-by-step explanation:

Answer:

51?

Step-by-step explanation:

I am sorry if it's wrong

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, a complete question is attached.

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are right angled, obtuse, acute, scalene, isosceles, equilateral triangle.

Trigonometric identities are used to show the relationship between the sides and the angles in a right angled triangle. Below are some trigonometric identities:

sin(θ) = opposite / hypotenuse; cos(θ) = adjacent / hypotenuse; tan(θ) = opposite / adjacent

The hypotenuse is the longest side in the triangle.

From the image attached:

sin(α) = opposite side / hypotenuse side

sin(α) = 7 / 25

Answer:

35/37

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of the figure is a sum of area of rectangle 4 cm × 7 cm and trapezoid with bases of 19 cm i 7 cm and altitude of 8 cm.

Therefore:

[tex]A=7\cdot4+\dfrac{7+19}2\cdot8=28+26\cdot4=132[/tex]