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drek231 [11]
3 years ago
5

Find the measure of angle A.

Mathematics
1 answer:
Ivanshal [37]3 years ago
4 0

Answer:

∠A = 32°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanA = \frac{opposite}{adjacent} = \frac{5}{8} = 0.625, thus

A = tan^{-1}(0.625) = 32°

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Are the expressions 8a - 3b - (2a + 4b) and 6a + b equivalent?
Margaret [11]

Answer:

No.

Step-by-step explanation:

Let's start by simplifying the first expression:

8a-3b-(2a+4b)

Remove the parentheses:

8a-3b-(2a)-(4b)\\8a-3b-2a-4b

Combine like terms:

8a-2a-3b-4b\\6a-7b

6a-7b\neq 6a+b (Assuming that none of the variables are equivalent to 0)

3 0
2 years ago
How is 5.35 one-half of the way between 2.2 and 8.5? Can someone please help me to understand?
Aleks04 [339]

Answer:


because it is in the middle of 2.2 and 8.5

so if you split it up 2.2 and 8.5 take 3.15 from 8.5 and give it to 2.2 now u have 5.35 as your answer.


Hope this helped


6 0
3 years ago
Pablo bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 more than the desktop. He pa
olga55 [171]
A = price of the desktop

b = price of the laptop

now, we know the laptop was more expensive than the desktop by 250 bucks, thus b = a + 250.

for "a", he paid 8.5% in interest, for "b", he paid 5% in interest.

how much is 8.5% of a?  well (8.5/100) * a, or 0.085a.

how much is 5% of b?  well, (5/100) * b, or 0.05b.

now, we know the total charges for financing were $296, that means the interest paid in total was 296, thus whatever "a" or "b" are, we know that  0.085a + 0.05b = 296.

\bf \begin{cases}
\boxed{b}=a+250\\
0.085a+0.05b=296\\
----------\\
0.085a+0.05\left( \boxed{a+250} \right)=296
\end{cases}
\\\\\\
0.085a+0.05a+12.5=296\implies 0.135a=283.5
\\\\\\
a=\cfrac{283.5}{0.135}\implies a=2100

how much did the laptop cost?  well, b = a + 250.
7 0
3 years ago
What’s the correct answer
n200080 [17]
The third one would be the correct answer. I separately multiplied each number in the first section by each number in the second section. For instance, 0 x 2 is 0, 4 x 5 is 20, 5 x 3 is 15, and 2 x 0 is 0. All of these numbers are in the third answer.
6 0
3 years ago
Joe's father is 15 more than twice Joe's age. How old is Joe's father? Solve algebraically.
dalvyx [7]

Answer:

Joe's father is 45.

Step-by-step explanation:

3x-x+2=4

6 0
3 years ago
Read 2 more answers
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