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Alchen [17]
3 years ago
15

Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange​ paint, he needs 7 ou

nces of red paint and 1 ounce of yellow paint. To make 2 cups of light orange​ paint, he needs 13 ounces of yellow paint and 3 ounces of red paint. Answer parts a and b.
a. Arnie buys a​ 32-oz can of red paint. Does he have enough red paint to make 3 cups of dark orange paint and 3 cups of light orange​ paint? Explain.
Yes.
The 3 cups of dark orange paint require
21
21 ​ounce(s) of red​ paint, and the 3 cups of light orange paint require
9
4.5 ​ounce(s) of red paint. Arnie needs
30
25.5 ​ounce(s) of red paint in​ total, so the​ 32-oz can is
enough.
​(Type integers or​ decimals.)
b. Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint. How many ounces of yellow paint does he​ need?
Arnie needs
4216
nothing ​ounce(s) of yellow paint. The 3 cups of dark orange require
3
3 ​ounce(s) of yellow​ paint, and the 3 cups of light orange require
391313
nothing ​ounce(s) of yellow paint.
​(Type integers or​ decimals.)
Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0

Answer:

Integers and decimals

Step-by-step explanation:

Soorry im too lazy to read all this

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The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.
lions [1.4K]

Answer:

5.29

Step-by-step explanation:

Pythagorean theorem is used

We will call AB x

x^2 + 6^2 = 8^2

x^2 + 36 = 64

x^2 = 28

x = 5.2915026

<u>x = 5.26</u>

4 0
3 years ago
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the me
mel-nik [20]

Answer:

The perimeter of the base of the birdhouse is 36 units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?

step 1

Find the measure of the interior angle

Let

x ---> the measure of the interior angle

y ---> the measure of the exterior angle

Remember that

the sum of the interior and exterior angle in any polygon is equal to 180 degrees

so

x+y=180^o ----> equation A

we have that

the measure of the interior angle is twice the measure of the exterior angle

so

x=2y ----> equation B

substitute equation B in equation A

2y+y=180

y=60^o

so

x=120^o

That means-----> The figure is a regular hexagon

step 2

Remember that

The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon

Let

b ----> the length side of the hexagon

so

b=12/2=6\ units

The perimeter of the hexagon is given by the formula

P=6b

substitute

P=6(6)=36\ units

3 0
3 years ago
Find the measure of a central angle of a regular polygon with 10 sides
Paraphin [41]

Answer:

114 degrees

Step-by-step explanation:

The formula to find the measure of all angles in a regular polygon is (n-2)180, where n = total number of sides.

Thus, we substitute n for 10, and you get:

(10-2)180=1440

If the shape is a regular polygon and it has ten sides, meaning all sides are equal, then all you do is divide 1440 by 10, to get the final answer of 114.

A central angle in a regular ten-sided polygon would be 144 degrees.

5 0
3 years ago
How many ordered pairs do you need in order to use the Slope Formula?
Fantom [35]
You only need two separate ordered pairs for the slope formula
8 0
3 years ago
4/11x10/8<br> What is the answer
aliya0001 [1]

Answer:

5/11

Step-by-step explanation:

4/11 × 10/8

= 40/88

= 5/11

8 0
3 years ago
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