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AysviL [449]
3 years ago
9

Simplify each expression.1) -8(k - 4)​

Mathematics
2 answers:
polet [3.4K]3 years ago
7 0

Answer:

-8k+32

Step-by-step explanation:

-8(k-4)=-8k+32

Lera25 [3.4K]3 years ago
6 0

Answer:

<h2>-8(k - 4) = -8k + 32</h2>

Step-by-step explanation:

-8(k - 4)         <em>use the distributive property: a(b + c) = ab + ac</em>

= (-8)(k) + (-8)(-4) = -8k + 32

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muminat

The answer is 9/23 you simply both sides of the equation, subtract 7x from both sides, divide both sides by -23

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4 years ago
If &lt;a is 89.5, what is the measure of its complementary angle?​
Pachacha [2.7K]

Answer:

The complement of an angle is what, when added to it, equals 90 degrees (90°). For example, in your problem, 90°-85°=5°. This means that the complement of 85° is 5°, since they add up to equal 90 degrees a right angle.

The supplement of an angle is what, when added to it, equals 180 degrees.

For example, in your problem, 180°-85°=95°. This means that the supplement of 85° is 95°, since they add up to equal 180 degrees a straight angle.

7 0
3 years ago
Prove that tan 10+tan 70'+taniou = tanio tanfo'tam 1oo.​
Galina-37 [17]

Question:

Prove that:

tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)

Answer:

Proved

Step-by-step explanation:

Given

tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)

Required

Prove

tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100)

Subtract tan(10) from both sides

- tan(10)+tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)

tan(70) + tan(100) = tan(10). tan(70). tan(100) - tan(10)

Factorize the right hand size

tan(70) + tan(100) = -tan(10)(-tan(70). tan(100) + 1)

Rewrite as:

tan(70) + tan(100) = -tan(10)(1-tan(70). tan(100))

Divide both sides by 1-tan(70). tan(100)

\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = \frac{-tan(10)(1-tan(70). tan(100))}{1-tan(70). tan(100))}

\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10)

In trigonometry:

tan(A + B) = \frac{tan(A) + tan(B)}{1 - tan(A)tan(B)}

So:

\frac{tan(70) + tan(100)}{1 - tan(70)tan(100)} can be expressed as: tan(70 + 100)

\frac{tan(70) + tan(100)}{1-tan(70). tan(100)} = -tan(10) gives

tan(70 + 100) = -tan(10)

tan(170) = -tan(10)

In trigonometry:

tan(180 - \theta) = -tan(\theta)

So:

tan(180 - 10) = -tan(10)

Because RHS = LHS

Then:

tan(10) + tan(70) + tan(100) = tan(10). tan(70). tan(100) has been proven

6 0
3 years ago
Below is a piece of a local pizza place menu where Jacob works.
Hatshy [7]

1)

16.90 is about $17

$17 * 3 = 51

6.99 is about $7

7 * 4 = 28

28 + 51 = 79

This is not reasonable because it costs $79, which is more than $75.

7 * 3 = 21

21 + 51 = 72

The customer has enough for 3 supreme pizzas and 3 dessert pizzas.

2)

16.90 is about 17

5.99 is about 6

17 + 6 = 23

23 - 5 = 18

This is reasonable.

3)

14.85 is about 15

6.99 is about 7

15 + 7 = 22

22/100 = 0.22

0.22 * 22 = 4.84

This is reasonable.

4)

16.90 is about 17

14.85 is about 15

5.99 is about 6

6.99 is about 7

17 * 5 = 85

15 * 5 = 75

6 * 5 = 30

7 * 5 = 35

85 + 75 + 30 + 35 = 225

This is reasonable

5)

14.85 + 1.39(4) = 20

1.39 * 4 = 5.56

14.85 + 5.56 = 20.41

This is not reasonable because the total is more then $20.

6 0
3 years ago
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