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3 years ago

The value of x is approximately:

Mathematics

1 answer:

solong [7]3 years ago

7 0

Answer:

19.80

Step-by-step explanation:

tan 22= 8/x

tan 22 = 8/x

x = 8/tan 22

x = 19.80

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iogann1982 [59]

2/3 ×2/2 = 4/6 + 1/6 =5/6
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3 years ago

Read 2 more answers

Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximati

Svetach [21]

Answer:

Answer:18+4.5 $\pi \\$

Step-by-step explanation:

This shape is a triangle with a semicircle connected to it

and this triangle is a right triangle so side A=B

that means the other leg is 6.Knowing that we can solve

The formula for the area of a triangle is (base×height)÷2

so that means 6×6 equals 36 and if you divide that by 2 you get the 18.

Now we will deal with the semicircle. We know that both of the legs are 6 so that means the diameter is 6 and now we solve 6 divided by 2 equals 3 and we will have to square that and we will 9 and since it is a semicircle we have to divide it by 2 and that will give us 4.5 and since we have to express it in terms of pi it will be 4.5(pi) and then we add both of the areas

giving us 18+4.5(pi)

and do you go to RSM

8 0

3 years ago

What is the length of AB

Anettt [7]

Answer:

$\boxed{\boxed{\overline{AB}=16}}$

Step-by-step explanation:

In the triangle ABC, m∠ABC=90°. Hence, it is right angle triangle.

$\tan \theta=\dfrac{p}{b}=\dfrac{AB}{64}$ --------1

In the triangle ABD, m∠ABD=90°. Hence, it is right angle triangle.

$\cot (90-\theta)=\dfrac{b}{p}=\dfrac{4}{AB}$

As $\cot (90-\theta)=\tan \theta$ , so

$\tan \theta=\dfrac{b}{p}=\dfrac{4}{AB}$ ---------2

From equation 1 and 2,

$\Rightarrow \dfrac{AB}{64}=\dfrac{4}{AB}$

$\Rightarrow AB^2=64\times 4$

$\Rightarrow AB^2=256$

$\Rightarrow AB=\sqrt{256}$

$\Rightarrow AB=16$

5 0

3 years ago

Solve 2x2+x-6 = 0 O (-3/2, 2) OD O (-2, 3/2)

irina [24]

✨ Using factorisation method ✨

‌

$\begin{cases}\tt \Large \orange\rightarrow \: \: 2 {x}^{2} \: + \: x \: - \: 6 \: = \: 0 \\ \\\tt \Large \orange\rightarrow \: \:2 {x}^{2} \: + \: 4x \: - \: 3x \: - \: 6 \: = \: 0 \\ \\ \tt \Large \orange\rightarrow \: \:2x(x + 2) \: - 3(x + 2) \: = \: 0 \\ \\ \tt \Large \orange\rightarrow \: \:(2x - 3) \quad \: (x + 2) \: = \: 0 \\ \\ \tt \Large \orange\rightarrow \: \:(2x - 3) = 0 \quad \: (x + 2) = 0 \\ \\ \tt \Large \orange\rightarrow \: \:2x \: = \: 3 \quad;\quad \: x \: = \: - 2 \\ \\ \rm \Large \orange\rightarrow \: \:x \: = \: \frac{3}{2} \quad ;\quad \: x \: = \: - 2 \\ \end{cases}$

Hence , option d is the correct answer

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3 years ago

What is the correct division problem for the fraction 3/11

gtnhenbr [62]

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3 years ago