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Mekhanik [1.2K]
3 years ago
6

Find the complement of an angle whose measure is 74 degrees. Show all work.

Mathematics
2 answers:
Ray Of Light [21]3 years ago
3 0
Answer:
angle = 16°

Explanation:
Complementary angles are angles that add up to 90°
Assume that the angle that we are looking for is x.
Based on the definition of the complementary angles, the equation will be as follows:
x + 74 = 90
Now, we will simply solve for x as follows:
x = 90 - 74
x = 16°

Hope this helps :)
scoray [572]3 years ago
3 0

Answer:

16⁰

Step-by-step explanation:

Angle = 74⁰

Complement = 90 - 74 = 16⁰

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C

Step-by-step explanation:

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5 0
3 years ago
Find the product. Simplify if possible. −13⋅(817)
fiasKO [112]
If the equation is (-13) x (817), then the product is (-10621).
4 0
3 years ago
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Seventeen consecutive positive integers have a sum of 306. What is the sum of the seventeen consecutive integers that immediatel
Stels [109]

Answer:

  • <u><em>595</em></u>

Step-by-step explanation:

Each of the following 17 is 17 more than its corresponding integer in the 1st 17.

---> 306 + 289 = <em>595</em>

8 0
3 years ago
Andrew pays a monthly membership fee of $10 at his gym. Each time he uses the gym, he pays $5. Last month, Andrew spent a total
umka2103 [35]

Answer:

First step to solving the equation is to subtract 10 on both sides:

10 - 10 + 5x =65 -10

5x = 55

Then, we divide by 5 on both sides!

5x ÷ 5 = 55 ÷ 5

x = 11

Our result is 11, so the answer to the problem is 11

I hope I was helpful!

8 0
2 years ago
The half-life of iodine-123 is about 13 hours. You begin with 38 grams of iodine-123.
qaws [65]
Half-life, h = 13 hours
Mass initial, a = 38 g
B=base for half-life = 2
(a)
I(t)=a*B^(-t/h)=a*(B^(1/h)^(-t)=a*(B^(-1/13))^t
Substituting values,
I(t)=38*(2^(-1/13))^t
a=38 g
b=2^(-1/13)=0.9480775 (approximately)
=>
I(t)=38*0.9480775^t

(b) I(t)=7
solve
I(t)=7=38*0.948077^t
Take log on both sides and solve for t
t=log(7/38)/log(0.948077)
=31.727 hours.

Check: I(31.727)=38*9.948077^(31.727)=7.000 g  ok
7 0
3 years ago
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