What is the answer to 8t-3=9

Answer: 8.4 feet

Step-by-step explanation:

In ΔFGH, the measure of ∠H=90°, the measure of ∠G=21°, and FG = 9 feet. Find the length of GH to the nearest tenth of a foot.

F

G

H

x

9

(opposite of ∠G)

(adj. to ∠G)

(hypotenuse)

21°

\text{What function uses the HYPOTENUSE and the ADJACENT?}

What function uses the HYPOTENUSE and the ADJACENT?

\text{SOH-CAH-TOA}

SOH-CAH-TOA

\cos G = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{x}{9}

cosG=  

hypotenuse

adjacent

​  

=  

9

x

​  

\cos 21=\frac{x}{9}

cos21=  

9

x

​  

9\cos 21=x

9cos21=x

Cross multiply.

x=8.4022\approx \mathbf{8.4}\text{ feet}

x=8.4022≈8.4 feet

Type into calculator and roundto the nearest tenth of a foot.

F

G

H

8.4

9

(opposite of ∠G)

(adj. to ∠G)

(hypotenuse)

21°

Answer:

y= 14

Step-by-step explanation:

Isosceles trapezoid has opposite sides equal

Hence, AB and CD are equal

We have been given AB= 7y-4

And CD= 8y-18

According to the property

7y-4 = 8y-18

On simplification:

7y -8y= -18+4

On further simplification.

-y=-14

Hence, y =14

Answer:

= r

Step-by-step explanation:

First write down the equation they gave you:

l = Prt

You need to ask yourself what is being done to r.  r in this case is being multiplied by two variable: P and t.  To undo multiplication you divide, the set up for division:

I divided by the two numbers, so it would be easier.  The P and T cancels out on the right and you are left with r.  On the left, however, it stays the same because there are no like terms to solve with.  You just leave as it is.

The result you get is:

Given:

Given that the two sides of the triangle are x, 4.0 and 5.6

We need to determine the range of possible sizes for the side x.

Range of x:

The range of x can be determined using the triangle inequality theorem.

The triangle inequality theorem states that, "if any side of a triangle must be shorter than the other two sides added together".

Thus, applying the theorem, we have;

Also, the the triangle inequality theorem states that, "the third side must be also larger than the difference between the other two sides".

Thus, we have;

Thus, the range of possible values for x are

Final answer:

In accordance with the triangle inequality theorem, the range for the length of the third side (x) in a triangle with sides of 4.0 and 5.6 is greater than 1.6 but less than 9.6.

Explanation:

In the field of Mathematics, specifically geometry, to find the range of possible lengths of a side of a triangle, you need to understand the triangle inequality theorem. The triangle inequality theorem states that the length of a side of a triangle must be less than the sum of the lengths of the other two sides, but more than the absolute difference.

Given you have two sides, 4.0 and 5.6, the possible length for side x should be less than (4.0 + 5.6 = 9.6) and greater than the absolute difference (5.6 - 4.0 = 1.6). So, the range for side x should be 1.6 < x < 9.6.

Learn more about Triangle Inequality Theorem

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The number 152.5 is 250 percent of 61.

To find the chance, we can use the following formula

(Percentage / 100) Whole = Part

In this case, we want to find the chance, which is the unknown value. Let's denote it as "x."

(x/ 100) 61 = 152.5

To break for x, we can rearrange the equation

x = (152.5/ 61) 100

x ≈ 250

Thus, 152.5 is roughly 250 of 61.

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