Answer:
Number of gallons of blue paint = 40 gallons
Number of gallons of red paint = 25 gallons
Step-by-step explanation:
We are given the ratio:
Blue paint : Red paint =
8 : 5
Sum of proportion = 8 + 5 = 13
If the customer need 65 gallons of paint,
a) Number of gallons of blue paint needed =
8/13 × 65 gallons = 40 gallons
b) Number of gallons of red paint needed =
5/13 × 65 gallons = 25 gallons
Therefore:
Number of gallons of blue paint = 40 gallons
Number of gallons of red paint = 25 gallons
Method 1:
4(754)
=4(700+50+4)
=2800 + 200 + 16
=3000+16
=3016
-----------------
Method 2:
4(754)
=4(250+250+250+4)
=1000+1000+1000+16
=3016
5. m∠C = 95°
6. m∠C = 70°
7. The other acute angle in the right triangle = 70°
8. m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 110°
11. m∠B = 70°
12. m∠Z = 70°
<h3>What are Triangles?</h3>
A triangle is a 3-sided polygon with three sides and three angles. The sum of all its interior angles is 180 degrees. Some special triangles are:
- Isosceles triangle: has 2 equal base angles.
- Equilateral triangle: has three equal angles, each measuring 60 degrees.
- Right Triangle: Has one of its angles as 90 degrees, while the other two are acute angles.
5. m∠C = 180 - 50 - 35 [triangle sum theorem]
m∠C = 95°
6. m∠C = 180 - 25 - 85 [triangle sum theorem]
m∠C = 70°
7. The other acute angle in the right triangle = 180 - 90 - 25 [triangle sum theorem]
The other acute angle = 70°
8. m∠C = 180 - 55 - 55 [isosceles triangle]
m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 50 + 60
Measure of the exterior angle at ∠C = 110°
11. m∠B = 115 - 45
m∠B = 70°
12. m∠Z = 180 - 35 - 75
m∠Z = 70°
Learn more about triangles on:
brainly.com/question/25215131
#SPJ1
Answer:
37.6%
Step-by-step explanation:
P(A|B) = P(A and B) / P(B)
P(red | car) = P(red and car) / P(car)
P(red | car) = 0.32 / 0.85
P(red | car) = 0.376
Answer:
12.5 ft
Step-by-step explanation:
30 : x = 24 :10
30*10 = 24x
x= 300/24 =12.5
