Find the value of x.
25
65°

Answer:

[tex]5\sqrt{3}[/tex] or 8.66

Step-by-step explanation:

use tan:

tan = [tex]\frac{opposite}{adjacent}[/tex]

⇒ tan 60 = [tex]\frac{x}{5}[/tex]

tan of 60 is 1.73

⇒ 1.732 = [tex]\frac{x}{5}[/tex]

multiply 5 on both sides

⇒ 1.732 x 5 = [tex]\frac{x}{5}[/tex] x 5

⇒ 8.66

Answer:

[tex]\boxed {\boxed {\sf D. \ 5 \sqrt 3 \ or \ 8.66}}[/tex]

Step-by-step explanation:

Remember the 3 main trigonometric ratios:

We are given the 60 degree angle. 5 is adjacent to the angle and x is opposite. Therefore, we must tangent.

[tex]tan \theta= \frac {opposite}{adjacent}[/tex]

[tex]tan60=\frac {x}{5}[/tex]

Since we are solving for x, we must isolate that variable. It is being divided by 5 and the inverse of division is multiplication. Multiply both sides by 5.

[tex]5(tan60)=\frac {x}{5} *5[/tex]

[tex]5(tan60)=x\\5*$$1.73205080757= x\\8.66025403784=x[/tex]

If we round to the nearest hundredth, the 0 in the thousandth place tells us to leave the 6.

[tex]8.66 \approx x[/tex]

x is about 8.66 or 5√3, which is choice D.

Answer: 5

Step-by-step explanation:

Answer:

5, $ 20 bills

Step-by-step explanation:

27.90× 3 = around 85

$85÷ $20=4.25

So 5, 20 dollar bills because it is more that 4

Answer:

1890

Step-by-step explanation:

Answer:

I believe your answer is 1512

Step-by-step explanation:

4.2 x 2 = 8.4 this is the area, each inch is equal to 15 feet, there are 180 inches in 15 feet. so 8.4 x 180 = 1512.

Answer:

Step-by-step explanation:

Perimeter of Park 1 = 2*(54+38)

                               = 2 * 92

                               =184 feet

Perimeter of park 2 = 2*(32+ 22)

                                = 2 * 54

                               = 108 feet

Total distance = Perimeter of park 1 + perimeter of park 2

                       = 184 + 108

                       = 292

Answer:

Step-by-step explanation:

As it is said that they spent more than $15 then its inequality is

m > 15

Answer:

the y intercept is -5

Step-by-step explanation:

because the equation is y=MX+b

Answer:

The y-intercept is -5.

Step-by-step explanation:

[tex]y=2x-5[/tex]

The equation is in slope intercept form.

[tex]y = mx+b\\\\m - \text{Slope}\\\\b - \text{Y-intercept}[/tex]

Since ' -5 ' is in 'b' 's place, it is the y - intercept.

Hope this helps. Please consider Brainliest!

Answer:

15x +10y =400

All divide by 5

3x +2y =80

2y=80 - 3x

y=80-3x/2

Answer:

The third option

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

all angles in a triangle add up to 180. you add 100+25=125 180-125=55 to check... 125+55=180 to angles next to each other on a straight line equals 180-55=125 angle x= 125

im pretty sure thats correct i hope this helps!

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

tan(x)/sec(x) = sin(x)

Hint: | Eliminate the denominator on the left hand side.

Multiply both sides by sec(x):

tan(x) = ^?sec(x) sin(x)

Hint: | Express both sides in terms of sine and cosine.

Write secant as 1/cosine and tangent as sine/cosine:

sin(x)/cos(x) = ^?1/cos(x) sin(x)

Hint: | Come to a conclusion.

The left hand side and right hand side are identical:

Answer:  (identity has been verified)

Hope you could understand.

If you have any query, feel free to ask.

Answer:

200,704x

Step-by-step explanation:

(4,096x)(49x)

=200,704x

Answer:

Width is 41 inches

Step-by-step explanation:

Subtract 12 since there are two sides with lengths of 6, then divide that by to get the width of one of the sides

Answer:

Option A) it has square roots of 2 is the answer

Answer:

Bill:$73.00

Tip:$14.60

Total:$87.60

Answer: 4.00

Step-by-step explanation: There are 60 minutes in 1 hour. So, 60/15 gives you your answer. 60/15 = 4, but it says write it as a decimal. So, your answer will be 4.00.

Answer:

b

Step-by-step explanation:

Answer:

40 inches

Step-by-step explanation:

16 * (30/12) = 40

Answer:

PQ = 40

Step-by-step explanation:

First, set up a proportion:

[tex]\frac{12}{16} =\frac{30}{x}[/tex]

Then, cross-multiply and solve:

[tex]12x = 16(30)[/tex]

[tex]12x = 480\\\\\frac{480}{12x} \\\\PQ = 40[/tex]

Hope this helped!

Answer:

This would be 75 dollars, or a total of 1575 dollars (the tv with tax)

Step-by-step explanation:

convert 5% to decimal = .05

.05 multiplied by 1500 = 75

75+1500=1575

Answer:

CP=1500

SALES TAX%=5

so, the answer after the calculations would be

$75.00

Hope it helps

Mark me as Brainliest please uwu

Answer:

18

Step-by-step explanation:

3/4 of 24 is 18.

Another way of writing it is 75% of 24 = 18

Answer:

r is 6

Step-by-step explanation:

This is because 6x6=36 and 36-4=32

Answer:

45=9⋅5 , so 2√45 is the same as 2⋅√9⋅5 . The √9=3 , so a 3 can be removed. leaving 2⋅3√5 , or 6√5

Answer:

7 in

Step-by-step explanation:

294:6=49

[tex]\sqrt{49}=7 in[/tex]

The length of each side of the cube is 7 inches.

The surface area of the cube all six faces of the cube are made up of squares of the same dimensions then the total surface area of the cube will be the surface area of one face added six times to itself. The formula to find the surface area of a cube is 6a², where a is edge.

Given that, the surface area of a cube is 294 square inches.

Now, 6a²=294

a²=294/6

a²=49

a=7 inches

Therefore, the length of each side of the cube is 7 inches.

Learn more about the surface area of a cube here:

brainly.com/question/23273671.

#SPJ2

Answer:

A

Step-by-step explanation:

Answer:

b. 1 inch : 5 miles is sure

Answer:

360ft

Step-by-step explanation:

Answer:

n = 19/18

Step-by-step explanation:

11/6 = n + 7/9

-n + 11/6 = 7/9

-n = 7/9 - 11/6

-n = -19/18

n = 19/18

Answer:

n = 19/18

Step-by-step explanation:

The equation 11/6=n+7/9 has fractions with two different denominators (6 and 9).  The LCD is 18, which is the smallest number evenly divisible by 6 and 9.  Thus, we can rewrite 11/6=n+7/9 as:

33/18 = (18/18)n + 14/18 (Now all three denominators are the same:  18)

Then 33 = 18n + 14, or

         19 = 18n

Dividing both sides by 18, we get n = 19/18

Check:  Is 11/6 = 19/18 + 7/9 true?  YES

Answer:

Step-by-step explanation:

{-1,0,1,2}