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2 years ago

What is the value of W?

Mathematics

1 answer:

Kaylis [27]2 years ago

4 0

Answer:

w=5

Step-by-step explanation:

firstly angle SUT and angle SUV are congruent, hence:

w+10=3w

10=3w-w

10=2w

10/2=w

5=w

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2x+5>7 problem solving

Anna71 [15]

Answer:

x > 1

Step-by-step explanation:

2x+5>7

move constant to right

2x>5-7

subtract 7 and 5

2x>2

divide both sides

x > 1

7 0

2 years ago

The radius of a well is 1.4m and its depth 35 m is half-filled with water. find the volume of water inside the drum.

Rzqust [24]

Answer:

≈ 108 m³

Step-by-step explanation:

You're searching for the volume of a cylinder. The formula needed to find it is V=πr²h.

In this case, the radius r is 1.4m and the height h is 35/2=17.5m, as it is only half filled.

Now when inserting values, you get: V=π*1.4²*17.5 which is 107.757 m³

8 0

2 years ago

Read 2 more answers

What equations is equivalent to y = log x

saw5 [17]

"log" standing alone actually means "logarithm to the base 10."

Thus, y = log x <=> y = log x
10
y
Stated another way (inverse functions), x = 10

4 0

3 years ago

For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

Evaluate:

$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

6 0

3 years ago

You have to pay $32.75 for an item after a 25% markup. What was the original price?

stepan [7]

It should be around 24.56 i rounded tho

7 0

3 years ago