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 ounces 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.

Arnie has enough red paint

Step-by-step explanation:

step 1

Find out the number of ounces of red paint needed to make 3 cups of dark orange paint

Let

x -----> number of ounces of red paint

y -----> number of ounces of yellow paint

z ----> cups of dark orange

we know that

so

For z=3 cups

substitute and solve for x

step 2

Find out the number of ounces of red paint needed to make 3 cups of light orange paint

Let

x -----> number of ounces of red paint

y -----> number of ounces of yellow paint

z ----> cups of light orange

we know that

so

For z=3 cups

substitute and solve for x

step 3

Adds the ounces of red paint

therefore

Arnie has enough red paint

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

78.59 is the mean

step-by-step explanation: