The figure that this question is referring to is attached. We must use the Law of Sines to solve this question, which is as follows:
a/sinA = b/sinB = c/sinC
This applies to any triangle. We are told that ∠ABD = 120º. We are asked to solve for ∠ADC. We know that ∠ADC + ∠ADB = 180º. If we assign ∠ADC = x, then ∠ADB = 180<span>º - x. We can now apply the law of sines to this data.
35/sin120 = 30/sin(180-x)
sin(180-x) = (30/35)(sin120)
sin(180-x) = 0.742
sin-1(sin(180-x)) = sin-1(0.742)
180 - x = 48</span><span>º
x = 132</span><span>º
</span>
We have already assigned x = ∠ADC; therefore,
∠ADC = 132<span>
º.</span>
Answer:
$76.50
Step-by-step explanation:
Let's split this up.
First, we will do the 150 parts. But, we need to subtract so that we know how many parts he worked on over 150.
So...
210-150=60
Now that we know how many parts he worked on over 150, let's multiply.
.35*150=52.50
Now, let's multiply what he did over 150.
.40*60=24
Finally, we have to add his pay up.
52.50+24.00=76.50
Making your answer...
$76.50
<u><em>Hope this helps!!!</em></u>
<u><em>Brady</em></u>
Answer:
11
Step-by-step explanation:
Assuming that the ratios stay the same, the answer is going to be 6 because the total number of nuts drawn originally was 48, and 9 were cashews. To maintain this ratio when 32 nuts were drawn, the number of cashews will be 6.
Answer:
4 inches deep, 5 inches high and 15 inches across