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riadik2000 [5.3K]

2 years ago

14

1. 8q + 6; q = 2

1 answer:

charle [14.2K]2 years ago

5 0

1. 22
2. -3
3. 21
4. 3.6
5. 22
6. 6
7. 18
8. 6
9. 24
10. 1

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Estimate 61.68 - 48.225 by first rounding each number to the nearest whole number.

jarptica [38.1K]

Answer:

14

Step-by-step explanation:

61.68 = 62

48.225= 48

62-48= 14

4 0

2 years ago

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Calculate (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to save the money at th

Paraphin [41]

8.50 + 11 (24) = 272.50
The total price
Carrying charges 72.50

<span>divide $11 into 200</span>

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3 years ago

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The transitive property holds for similar figures. True Or False

Schach [20]

The answer would be "true"<span />

7 0

2 years ago

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Use a half-angle identity to find the exact value of tan 22.5°.

dusya [7]

Answer:

$\sqrt{2} -1$

Step-by-step explanation:

22.5 degrees is half of 45 degrees (special angle for which we know exactly the value of all three basic trigonometric functions (sine, cosine, and tangent).

So we start recalling the formula for tangent of a half angle: $tan(\frac{\alpha }{2} )= \frac{1-cos(\alpha) }{sin(\alpha) }$

We need just the values of:

$sin(\alpha )=sin(45^o)=\frac{\sqrt{2} }{2}$

and of

$cos(\alpha )=cos(45^o)=\frac{\sqrt{2} }{2}$

to answer the question. Then, we use those values in the original formula for tangent of a half angle:

$tan(\frac{\alpha }{2} )= \frac{1-cos(\alpha) }{sin(\alpha) }\\tan(22.5^o)=\frac{1-\frac{\sqrt{2} }{2} }{\frac{\sqrt{2} }{2}} =\frac{2-\sqrt{2} }{\sqrt{2} } =\frac{2\sqrt{2}-2 }{2} =\sqrt{2} -1$

3 0

3 years ago

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A car is traveling at a rate of 72 kilometers per hour. What is the car's rate in kilometers per minute? How many kilometers wil

nataly862011 [7]

<u>Answer: </u>

The car’s rate in kilometer per minute is 1.2 kilometer/minute and in 20 min it can travel 24 kilometer

<u>Solution: </u>

It is given that it can travel 72 kilometer per hour.

We know 1 hour = 60 min

So, the car travels in

60 min = 72 hour

$1 \min =\frac{72}{60} \text { hours or } \frac{6}{5} \text { hours or } 1_{5}^{1} \text { hours. }$

Thus the cars rate in kilometer per minute is $\frac{6}{5}$ is 1.2 kilometer per minute.

Now we know in 1 minute the car can travel 1.2 kilometer.

Therefore in 20 minutes it will travel 1.2 $\times$ 20 kilometers= 24 kilometers

5 0

2 years ago