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erica [24]
3 years ago
6

If sin∠E = cos∠F and m∠E = 43°, what is m∠F?

Mathematics
1 answer:
sukhopar [10]3 years ago
7 0

Using complementary angles, it is found that F = 47º.

<h3>What are complementary angles?</h3>

Two angles are complementary if the sum of their measures is of 90º.

If two angles A and B are complementary, the sine of one angle is the cosine of the other.

In this problem, 43º and 47º are complementary, hence:

sin 43º = cos 47º, which means that F = 47º.

More can be learned about complementary angles at brainly.com/question/11161460

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the value of (-3)4+(-2)4×(-1)4 is -24

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Determine the number of possible triangles, ABC, that can be formed given angle A = 30°, a = 4, and b = 6.
Sophie [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

using Sine Law,

\frac{sinA}{a}=\frac{sinB}{b}

\frac{sin30}{4}=\frac{sinB}{6}

sinB=0.75

angle B = 48.6

Another angle will be

angle B' = 180-48.6 = 131.4

considering angle B, angle C = 180 - (48.6+30)=101.4

considering angle B', angle C' = 180-(131.4+30)=18.6

\frac{sinA}{a}=\frac{sinC}{c}

\frac{sin30}{4}=\frac{sin101.4}{c}

c = 7.84

Similarly, finding c'

\frac{sinA}{a}=\frac{sinC'}{c'}

\frac{sin30}{4}=\frac{sin18.6}{c'}

c'=2.55

Hence two triangles are possible with below details:  :   Answer

A = 30, B = 48.6, C = 101.4, c = 7.84

A = 30, B' = 131.4, C' = 18.6, c' = 2.55

Hope it will help :)

5 0
3 years ago
Hose is 32 feet long 32 feet long it needs to be cut into pieces equaling 5’3” How many whole pieces can be cut into how many wh
luda_lava [24]

Answer:

6

Step-by-step explanation:

Question tests the ability to get quotient

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The total is now 5.25'

Now

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This means, we shall obtain 6 whole pieces with some remainder. Since the question needs the whole pieces only, then the answer is 6

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3 years ago
Can someone help??? Also if it wouldn’t bother can you also state how you got the answer. I don’t quite understand this concept.
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2/3 + x=4

x= 4 - 2/3

= (((4)(3) -2))/3

= (12-2)/3

= 10/3

7 0
4 years ago
There are 6060 tables in a restaurant, with 25%25% of them seating 22 people. The tables remaining seat 44 people. How many seat
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60 tables total. 25% of those seat 22 people. 60 X 25% = 15. So 15 of the tables seat 22 people. 
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