All categories

3 years ago

Given that 3x : 8 = 9 :2 , find the value of x .

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

3 0

Answer:

i hope you understand this answer

You might be interested in

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

The building is 61.5 m tall

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

5 0

2 years ago

Circumference of a circle of radius 13.4cm

Sedbober [7]

Answer:

26.8 pi or approx. 84.19

Step-by-step explanation:

Circumference can be found by multiplying the diameter by pi. The diameter is twice the radius, which in this case is 13.4, so it's 13.4 * 2 = 26.8.

Multiply by pi, and you've got your answer!

5 0

2 years ago

PLEASE HELP ASAP! ! ! ! ! ! ! ! ! ! ! ! ! ! !

Natalka [10]

f(x)= -x^2+4 plotted vertex (0,4)

8 0

2 years ago

What is a verbal expression for w-24

schepotkina [342]

Question: What is a verbal expression for w-24

Answer: What is a 24 less than a number w.

Explanation: It would be (What is a 24 less than a number w.), because less than means subtract and you will write it the opposite of how you say it.

Hope It Helps!!

5 0

2 years ago

A distribution has a mean of 16 and a standard deviation of 6. What is the Z score that corresponds with 34?

Brrunno [24]

Answer:

Z = 3

Step-by-step explanation:

In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;

$Z=\frac{x-mean}{standard deviation}$

For the case given, the z score will be;

$Z=\frac{34-16}{6}=3$

7 0

3 years ago