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IgorC [24]
3 years ago
13

Fill in the blank. In the triangle below, y=

Mathematics
1 answer:
arsen [322]3 years ago
3 0

Answer:

47.10

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

... Cos = Adjacent/Hypotenuse

The value y is the length of the hypotenuse, and the given length 35 is the side adjacent to the given angle. Thus, the cosine relationship will be helpful.

Filling in the given values, we have ...

... cos(42°) = 35/y

Multiplying by y/cos(42°), we can find y to be ...

... y = 35/cos(42°) ≈ 35/0.7431

... y ≈ 47.10

Y will be approximately  47.10 in length

Step-by-step explanation:

we will use this  form that we memorized in our schools ............. SOH CAH TOA

CAH means , Cos ∅= Adjacent/Hypotenuse

Given values

∅ =42°

hypotenuse= y

adjacent side length = 35

now putting in our values  into

Cos ∅= Adjacent/Hypotenuse

OR

cos(42°) = 35/y

by multiplying y on both sides we get

y= 35/cos( 42°)

cos(42°)= 0.743

so  y= 35/0.743    

y = 47.10632

OR

y ≈ 47.10

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Flura [38]

Answer:

f(10)=sqrt(14)

Step-by-step explanation:

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6 0
3 years ago
How do you write  35 4  as a percentage
GenaCL600 [577]
354 as a percentage is 354%
35.4 as a percentage is 35.4%
8 0
3 years ago
The total area of both plots of land is?
VikaD [51]

You have 2x^2 + 9x -9 and 3x^2 -2x +14

To find total area add the two polynomials together by combining the like terms.


2x^2 + 3x^2 = 5x^2

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7 0
3 years ago
Suppose researchers test 100 college students, whose ages range from 18 to 23. They also test 100 people at a nearby community c
prisoha [69]

Answer:

b. You would conclude that the differences in the average scores can be traced to differences in the working memory of the two groups.

Step-by-step explanation:

Though the average scores of the two sets could have lead to various conditions, but retentive ability deminishes with respect to an increase in age. With respect to the age of the elderly people involved, it is expected that some of them would not be able to retain information for a long period of time. Thus, their average score is 72%.

The college students' are younger, so it is expected that they should be able to retain more information. That ability is one of the reasons why their average score is 85%.

It can be concluded from the research that the differences in the average scores is probably due to the working memory of the two groups.

6 0
3 years ago
What is the m∠ACB in the circle shown below?
GuDViN [60]

Question:

What is the m∠ACB in the circle shown below?

Answer:

45

Step-by-step explanation:

So we know it is <u><em>less than a right angle</em></u> and it is not a obtuse angle it is less than 90 degrees. 45 is less, 90 is equal(<em>not what we are looking for</em>) , 120, is greater, and 180 is greater which leaves us to our answer 45.

4 0
3 years ago
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