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anastassius [24]
3 years ago
12

Given the following right triangle, what is the measure of angle B?

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

A. 55 degrees

Step-by-step explanation:

We are given a right angled triangle ABC having the horizontal length = 10 units and vertical length = 7 units.

Now, the trigonometric form for angles of a right angled triangle gives,

\tan B=\frac{opposite}{adjacent}

i.e. \tan B=\frac{10}{7}

i.e. \tan B=1.42857

i.e. B=\arctan 1.42857

i.e. B=55.03

Hence, the measure of angle B is 55°

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Neko [114]
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6 0
3 years ago
A pineapple drink contains 15% pineapple juice. How much pure pineapple juice should be added to 8 quarts of the drink to obtain
Vikki [24]

Answer:

5.6 quarts

Step-by-step explanation:

x + .15(8) = .50(8+x)

x + 1.2 = 4

.50x + 1.2 = 4

.50x = 2.8

x = 2.8/.50

x = 5.6 quarts 

8 0
3 years ago
BELL RINGER #2
NemiM [27]

Answer:

A. 2 4/5

Step-by-step explanation:

To find how many hours she worked for $210, you must get the amount of money she gets in 1 hour.

Because she charges $43 dollars every hour, and fines a fee of $30 flat, we must add both of the amount to get how many she earns in 1 hour.

So:

$45 + $30= $75

She earn $75 in 1 hour.

Next, divide $210 dollars that she earned for working for hour(s) to the amount of money she earned in 1 hour to find how many hours she worked.

So:

$210 ÷ $75= 2.8 hours

The answer is 2.8 hours

Because the given answers is in fraction, we must change the decimal into a fraction.

To change a decimal into a fraction, you must place the decimal over its place value.

Because 8 in the decimal 2.8 is in the tenths place, you must place it over 10

So:

2.8 into a decimal is 2 8/10

Simplify (only simplify if possible):

Divide 8 and 10 to their GCF which is 2.

So:

8 ÷ 2= 4

10 ÷ 2= 5

So the fraction and the answer is now:

2 4/5

I hope this helps! I'm sorry if it's wrong and too complicated.

4 0
3 years ago
Are these two expressions equivalent?<br> 98.2 m - 14m- m<br> 84.2m<br> Yes<br> No
Firdavs [7]

Answer:

<h2><em>No</em></h2>

Step-by-step explanation:

Though the answer of this expression 98.2 m - 14m- m is 83.2, nd there is 84.2,

expressions are not equivalent.

8 0
2 years ago
Find the area of the trapezoid by decomposing it into other shapes. A) 48 cm2 B) 55 cm2 C) 66 cm2 D) 96 cm2
snow_tiger [21]

Answer:

The answer is B.

Step-by-step explanation:

You have to use area of trapezoid formula, A = 1/2×(a+b)×h where a, b are the side lengths and h is height :

area =  \frac{1}{2}  \times (a + b) \times h

let \: a = 6,b = 16,h = 5

area =  \frac{1}{2}  \times (6 + 16) \times 5

area =  \frac{1}{2}  \times 22 \times 5

area = 11 \times 5

area = 55 \:  {cm}^{2}

8 0
3 years ago
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