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2 years ago

Find the value of x to the nearest tenth.

Mathematics

2 answers:

Leona [35]2 years ago

8 0

Answer:

x = 9

Step-by-step explanation:

Given : A triangle with angle 39 degree.

To find : Find the value of x to the nearest tenth.

Solution : We have given

A triangle with angle 39 degree and hypotenuse = x.

Adjacent side = 7 .

Cos(theta) = $\frac{Adjacent}{Hypotenuse}$ .

Plug the values

Theta = 39 degree.

Cos(39) = $\frac{7}{x}$ .

x = $\frac{0.777}{7}$ .

x = 9.09

Nearest tenth is 9.09

Therefore, x = 9

rosijanka [135]2 years ago

3 0

Check the picture below

the angle is in degrees, thus, make sure your calculator is in Degree mode

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Which line has the same slope as the line passing through (- 4, -1) and (-1, 8)

Troyanec [42]

The slope is [ 8 - (-1) ] / [ -1 - (-4) ] = 9 / 3 = 3;

The line has the equation: y - 8 = 3( x + 1);

y - 8 = 3x + 3;

y = 3x + 11.

7 0

2 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

2 years ago

A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree. How tall is the tree?

Eddi Din [679]

Given:

A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree.

To find:

The length of the tree.

Solution:

A bird was sitting 16 feet from the base of an oak tree.

Vertical distance between bird and base = 16 feet

Then the bird flew 20 feet to reach the top of the tree.

Now, the vertical distance between bird and base = (16+20) feet

So, length of the oak tree is it the sum of 16 feet and 20 feet.

$\text{Length of the oak tree}=16+20$ feet

$\text{Length of the oak tree}=36$ feet

Therefore, the length of the oak tree is 36 feet.

5 0

2 years ago

Graph of y= 1÷2 cos x-1<br>

vivado [14]

Answer:

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Amplitude: None

Period: $2\pi$

Phase Shift: 0 (0to the right)

Vertical Shift: -1

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8 0

2 years ago

A backyard measures 30 feet by 40 feet. If the owner builds a fence around, about how many feet of fencing will be needed?

Troyanec [42]

Answer:

140 feet

Step-by-step explanation:

You will need to find the perimeter of the backyard to find how many feet of fencing will be needed

the formula for perimeter is: 2l+2w

So 2 times 30 is 60

with 2 times 40 80

60+80 is 140

Thus you will need 140 feet to cover the backyard

Hope this helps!

8 0

1 year ago

Read 2 more answers