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3 years ago

Estimate the degree of rotation on the image. Explain how you arrived at your estimate.

Mathematics

1 answer:

Yanka [14]3 years ago

5 0

Answer:

i would say about 90 degrees

Step-by-step explanation:

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A rectangular prism has a length of 5 1/8 feet, a width of 7 1/2 feet, and a height of 2 feet. What is the volume of the prism?

maksim [4K]

For this case we have that by definition, the volume of a rectangular prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b}:$ It is the area of the base

h: It's the height

According to the data we have:

$length = 5 \frac {1} {8} = \frac {8 * 5 + 1} {8} = \frac {41} {8}$

$width = 7 \frac {1} {2} = \frac {2 * 7 + 1} {2} = \frac {15} {2}$

Then:

$A_ {b} = \frac {41} {8} * \frac {15} {2} = \frac {615} {16}$

Thus, the volume is:

$V = \frac {615} {16} * 2 = \frac {1230} {16} = 76.875$

Answer:

$76.875 \ ft ^ 3$

6 0

3 years ago

Olivia made 14 outfits for her dolls. Each outfit used 3/5 of fabric. If she started with 10 3/4 yards of fabric, how much did s

Zepler [3.9K]

Answer:

0.1 yards of fabric

Step-by-step explanation:

Data provided in the question:

Number of outfits made for the doll = 14

Fabric used in each outfit = $\frac{3}{5}$ yards of fabric

Starting fabric available = 10 × $\frac{3}{4}$ or $\frac{30}{4}$ yards

Now,

The total fabric used in making the outfits of 14 dolls

= 14 × $\frac{3}{5}$ yards of fabric

= $\frac{42}{5}$ yards of fabric

Therefore,

The fabric left after making the outfits

= Fabric available in the start - Fabric used in making the outfits

= $\frac{30}{4}$ yards - $\frac{42}{5}$ yards

= $\frac{30\times5-42\times4}{4\times5}$ yards

= $\frac{150-168}{20}$ yards

= $\frac{2}{20}$ yards

= 0.1 yards of fabric

5 0

3 years ago

Solve the system algebraically. Check your work.

Luden [163]

answer.

Answer:

x=2 and y=0 is the required result.

Step-by-step explanation:

We have been given system of equations:

5x+2y=105x+2y=10 (1)

And 3x+2y=63x+2y=6 (2)

We will use elimination method:

Multiply 1st equation by 3 and 2nd equation by 5 we get:

15x+6y=3015x+6y=30 (3)

15x+10y=3015x+10y=30 (4)

Now subtract (4) from (3) we get:

-4y=0−4y=0

y=0y=0

Now, put y=0 in (1) equation:

5x+2(0)=105x+2(0)=10

5x=105x=10

x=2x=2

Hence, x=2 and y=0

8 0

3 years ago

suppose the students who scored 85 and 90 on the math test take the test again and score 95. How many stars would you have to ad

Ugo [173]

Suppose the students who scored 85 and 90 on the math test take the test again and score 95. How many stars would you have to add to the picturegraph next to 95?
10

5 0

3 years ago

Renee is participating in a fundraiser based on how far she walks around the square field at her elementary school. The field is

RUDIKE [14]

Answer:

whooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

5 0

3 years ago