Please help!!!! Thank you!
2 answers:
You might be interested in
Answer:
The measure of angle B is 41.5°
The length of side a is 30.6 feet ⇒ to the nearest tenth
The length of side b is 32.9 feet ⇒ to the nearest tenth
Step-by-step explanation:
- <em>The sum of the measures of the interior angles in a triangle is 180°</em>
In the given Δ ABC
∵ m∠A = 38.1°
∵ m∠C = 100.4°
→ By using the fact above
∵ m∠A + m∠B + m∠C = 180°
∴ 38.1 + m∠B + 100.4 = 180
→ Add the like terms in the left side
∴ 138.5 + m∠B = 180
→ Subtract 138.5 from both sides
∴ m∠B = 41.5°
∴ The measure of angle B is 41.5°
∵ a is the opposite side of ∠A
∵ b is the opposite side of ∠B
∵ c is the opposite side of ∠C
→ By using the sine rule
∴ =
=
∵ c = 48.4 ft, m∠A = 38.1°, m∠B = 41.5°, and m∠C = 100.4
→ Substitute them in the sine rule above
∴ =
=
→ By using cross multiplication between the 1st and the 3rd fractions
∴ a × sin 100.4 = 48.8 × sin 38.1
→ Divide both sides by sin 100.4
∴ a = 30.61429861
∴ The length of side a is 30.6 feet ⇒ to the nearest tenth
→ By using cross multiplication between the 2nd and the 3rd fractions
∴ b × sin 100.4 = 48.8 × sin 41.5
→ Divide both sides by sin 100.4
∴ b = 32.87596206
∴ The length of side b is 32.9 feet ⇒ to the nearest tenth
Answer:
$12,000
Step-by-step explanation:
Kabore wants to make $700 this week. We can subtract 100 from that amount because his base pay is $100.
700 - 100 = 600
This leaves us with 600. Kabore has to make $600 from his sales. However, he only gets paid 5% of his sales. So, 600 is worth 5% of his sales. This can be represented in an equation, where x represents his sales and 0.05 is 5% in decimal form:
= 0.05
Multiply both sides of the equation by x to isolate it on one side:
600 = 0.05x
Divide both sides by 0.05 to find the value of x:
12000 = x
Kabore needs to sell $12,000 worth of product if he wants to make $700 this week.
Hope this helps :)