Answer:
x ≈ 2.76
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan78° =
=
=
( multiply both sides by x )
x × tan78° = 13 ( divide both sides by tan78° )
x =
≈ 2.76 ( to 2 dec. places )
Answer:

Step-by-step explanation:
Given



Required
Find x
Because C is between D and E;

Substitute values for each;

Collect Like Terms


Answer:
a)1 cup of flour
b)67.5 minutes
Step-by-step explanation:
a) A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
From the above question, we know that:
27 dinner rolls = 3 cups of flour
9 dinner rolls = x
Cross Multiply
27 rolls × x = 9 rolls × 3 cups
x = 9 rolls × 3 cups/27 rolls
x = 1 cup of flour
Hence, 1 cup of flour is needed to make 9 dinner rolls
b) Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?
From the above question:
4 km = 18 minutes
15km = x
Cross Multiply
4km × x = 15km × 18 minutes
x = 15km × 18minutes/4km
x = 67.5 minutes
Hence, in a 15km race , it would take her 67.5 minutes to complete her race.
Answer:
$3174.75
Step-by-step explanation:
You take 22.5 and 34 and multiply them to find the square feet then you have to multiply that by the price per square foot.