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Makovka662 [10]
3 years ago
13

Drag the label for the length of the sides of the triangle shown that would satisfy the following conditions: cos(B) = 9/41

Mathematics
1 answer:
olga_2 [115]3 years ago
4 0

Answers:

  • AB = 9  (vertical leg)
  • AC = 40 (horizontal leg)
  • BC = 41 (hypotenuse

===============================================

Explanation:

We're told that

cos(B) = 9/41

Since the cosine ratio involves adjacent/hypotenuse, we can see that the adjacent side is 9 and the hypotenuse is 41. For angle B, the adjacent side is the leg closest to the angle in question. So that would be side AB.

Therefore, AB = 9 and BC = 41 are the adjacent and hypotenuse for reference angle B.

Apply the pythagorean theorem to solve 9^2+x^2 = 41^2, and you should get x = 40. This is the other leg of the triangle. Or you could note how tan(C) = 9/40 to imply that AC = 40 is the adjacent side for reference angle C.

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The function f(x) = 5One-fifth is reflected over the y-axis. Which equations represent the reflected function? Select two option
postnew [5]

Answer:

The equations that represent the reflected function are

f(x)=5(\frac{1}{5})^{-x}

f(x)=5(5)^{x}

Step-by-step explanation:

The correct question in the attached figure

we have the function

f(x)=5(\frac{1}{5})^{x}

we know that

A reflection across the y-axis interchanges positive x-values with negative x-values, swapping x and −x.

therefore

f(−x) = f(x).

The reflection of the given function across the y-axis will be equal to

(Remember interchanges positive x-values with negative  x-values)

f(x)=5(\frac{1}{5})^{-x}

An equivalent form will be

f(x)=5(\frac{1}{5})^{(-1)(x)}=5[(\frac{1}{5})^{-1})]^{x}=5(5)^{x}

therefore

The equations that represent the reflected function are

f(x)=5(\frac{1}{5})^{-x}

f(x)=5(5)^{x}

9 0
3 years ago
Read 2 more answers
A. If the average ticket price is $15
Westkost [7]

Answer:

He had been in a hospital with friends since his birth

5 0
3 years ago
Find the value of y.​
Bess [88]

Answer:

=6√3 the third option.

Step-by-step explanation:

We can use the Pythagoras theorem to find the value of y. We need two equations that include y.

a²+b²=c²

c=9+3=12

x²+y²=12²

x²=144 - y².........i (This is the first equation)

We can also express it in another way but let us find the perpendicular dropped to c.

perpendicular²= x²-3²=x²-9 according to the Pythagoras theorem.

y²=(x²-9)+9²

y²=x²+72

x²=y²-72....ii( this is the second equation

Let us equate the two.

y²-72=144-y²

2y²=144+72

2y²=216

y²=108

y=√108

In Surd form √108=√(36×3)=6√3

y=6√3

8 0
3 years ago
A rectangular garden has an area of 46 1/2 square feet. If the garden is 7 1/2 feet long, how many feet wide is it?
Ierofanga [76]

Answer:

The answer is 6 1/5 feet in width.

Step-by-step explanation:

Since the formula for area is <em>wl</em> or <em>width </em>x <em>length</em>, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.

Hope this helps!

5 0
2 years ago
Rescooperate Ice Cream Shop recently analyzed their books. They found that in the past year, they made $100,000 selling ice crea
RoseWind [281]

Answer:

I believe the correct answer would be A.) Profit.

Step-by-step explanation:

This is because <em>revenue</em> is the amount earned, which, in this case is $100,000. Loss is not a proper term. The proper term would be <em>expense. </em>This is the amount spent or lost. The correct answer would be <em>profit. </em>Profit just means the amount left after the expenses have been deducted from the revenue.

Hope this helps,

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

7 0
4 years ago
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