QUESTION IS THE PICTURE

Answer:

[tex]180.49[/tex]

Step-by-step explanation:

SOH-CAH-TOA:

In right triangles only:

The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)

The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)

Since we're given an angle, its opposite side, and its adjacent side, we'll use tangent to solve for [tex]x[/tex]:

[tex]\tan 14^{\circ}=\frac{45}{x},\\x=\frac{45}{\tan 14^{\circ}},\\x\approx \boxed{180.49}[/tex].

Answer:

70

Step-by-step explanation:

An angle formed by 2 tangent lines is equal to one half the measure of the major arc minus the measure of the minor arc.

we are given the minor arc ( 110 ) however we are not given the major arc.

Because circles make a 360 degree rotation we can find the major arc by subtracting the measure of the minor arc from 360

Thus, major arc = 360 - 110 = 250

Now that we have identified the major and minor arc we can find x

Recall that x = 1/2 ( major arc - minor arc )

Thus, x = 1/2 ( 250 - 110 )

250 - 110 = 140

140 / 2 = 70

Hence, x = 70

13x + 3x + 2x = 180°

=> 18x = 180°

=> x = 180°/18

=> x = 10°

Ec is a diameter solve for x well i really dont know

Answer:

B

Step-by-step explanation:

Substitute x = 11 into the expression

5(11 - 2)

= 5 × 9

= 45 → B

Answer:

45

Step-by-step explanation:

A function is given to us .And we need to find its value at x = 11. So on substituting x = 11 , we have ,

The given function :-

[tex]:\implies[/tex] f(x) = 5(x-2)

On putting x = 11 :-

[tex]:\implies[/tex] f(11) = 5 ( 11 - 2)

[tex]:\implies[/tex] f(11) = 5 × 9

[tex]:\implies[/tex] f(11) = 45

Answer:

It will take 8.73 years.

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,000

Future value (FV)= $1,500

Interest rate (i)= 4.75% compounded annually

To calculate the time required for the initial investment to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(1,500/1,000) / (1.0475)

n= 8.73

It will take 8.73 years.

Answer:

78.463° = 78°27'47" = 1.36944 rad

44.415° = 44°24'55" = 0.77519 rad

57.122° = 57°7'18" = 0.99696 rad

(degrees = grades = radian)

Answer:

1. A wingsuit pilot is not in freefall.

2. The parachute increases air resistance, decreasing the pilot's acceleration, thus decreasing terminal velocity and allowing the pilot to land safely.

Step-by-step explanation:

1. An object is in freefall when the only force acting on it is the force of gravity. An object does not necessarily need to moving at a certain speed to be in freefall. Because the wingsuit pilot's wingsuit creates a heavy amount of air resistance, the force of gravity is not the only force acting on the object. Therefore, the object is not in freefall.

2. By increasing the surface area or cross-section perpendicular to the force of gravity, the parachute creates a heavy amount of air resistance. Since air resistance acts opposite in direction to the force of gravity, the pilot will have a lower terminal velocity and will reach the ground at a dramatically lower speed, thus allowing them to land safely.

Answer:

45 million

Step-by-step explanation:

Let [tex]x[/tex] be the total amount of its donated funds. We can set up the following equation:

[tex]0.34x=15.2\:[\text{million}][/tex]

Solving for [tex]x[/tex], we get:

[tex]x=\frac{15.2\:[\text{million}]}{0.34},\\x=44.7\:\text{million}\approx \boxed{45\:\text{million}}[/tex]

Answer:

45 million dollars (44.706...)

Step-by-step explanation:

15.2 ÷ 0.34 = 44.706

To check our answer:

44.706 × 0.34 = 15.2

Answer:

The total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!

Step-by-step explanation:

Given

Out of five blocks i.e ABCDE, four blocks need to be drawn.

Hence the possible ways of drawing four blocks out of total set of 5 blocks is

5C4

Now, the total number of ways of arranging these selected four blocks is 4!

The total number of ways of arranging three blocks is 3!

Hence, the total outcomes that are possible for this arrangement of seven blocks are 5C4 * 4! * 3!

Answer:

$7

Davon charges $7 per hour of rental

Answer:

B. {1, -4}

Step-by-step explanation:

Just rotate the screen and look at the position.

Answer:

25 girls

Step-by-step explanation:

Answer:

you use a linear equation.

Step-by-step explanation:

y=mx+b is a linear equation, b equals the y intercept (the point at which the slope touches the y line at x=0), and m equals the slope.

All you have to do is plug in your values for the equation to work.

Answer:

D. 80mins

Step-by-step explanation:

Answer: 5 cents

Step-by-step explanation:

Given

Flow rate of water is [tex]3.5\ gal/min[/tex]

At this rate it cots [tex]\$1.90[/tex] for 10 minutes

Volume that flown in this time

[tex]\Rightarrow V=3.5\times 10\\\Rightarrow V=35\ \text{Gallons}[/tex]

So, [tex]\$1.90[/tex] is charged for 35 gallons of water

Using unitary method, 1 gallon costs

[tex]\Rightarrow 1\ \text{gallon}=\dfrac{1.9}{35}\\\\\Rightarrow 1\ \text{gallon}=\$0.0542\ \text{or}\ 5.4\ \text{cents}\\\text{Round off to nearest cent}\\\Rightarrow 1\ \text{gallon}=5\ \text{cents}[/tex]

Answer:

135

Step-by-step explanation:

if you think about it al cicle = 360 so its 360- 225= 135

Answer:20.7 ft

Step-by-step explanation:

9u+5

9u represents 9 multiplied by a number.

+5 means 5 more than this product.

Hope this helps.

Answer:

13 inches

Step-by-step explanation:

3 sides of the small square are on the outside, then add 5 and 3 and (3-1)* to get 13

* you subtract 1 from 3 because you counted the 1 unit when calculating the perimeter of the small square

Answer:

Answer 1: 0.05*0.85=0.0425

Answer 2: 0.05*0.15=0.0075

Answer 3: 0.95*0.15=0.1425

Answer 4: 0.95*0.85=0.8075

Answer 5: [tex]\frac{0.0425+0.0075}{0.0425+0.0075+0.1425+0.8075}=\frac{0.05}{1} =0.05=5%[/tex]

The probability that the couple conceived a girl and the test predicts a girl is 0.0425

This refers to the branch of mathematics that has to do with the calculation of how probable an event is to occur.

To find the probability that the couple conceived a girl and the test predicts a girl is 0.05*0.85= 0.0425

The other answers are:

Read more about probability here:

https://brainly.com/question/24756209

Answer:

Below.

Step-by-step explanation:

h = 112 degrees  (opposite angles are equal).

t = h = 112 degrees (corresponding angles are equal).

Answer:

Take 2 points through which the line is passing.

Let it be (0, -3) and  (1, 2)

[tex]slope ,m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{2--3}{1-0} = 2+3 = 5[/tex]

[tex]equation \ of \ the \ line = (y - y_2) = m(x - x_2)\\[/tex]

[tex](y - 2) = 5( x - 1)\\y - 2 = 5x - 5 \\y = 5x - 5 + 2\\y = 5x -3[/tex]

Answer:

144

Step-by-step explanation:

The simplified equation would be 4x2x3x3x2 and that put into a calculator is 144

Answer:

The scale factor is 3

Step-by-step explanation:

6/2=3 (one of the triangles sides)

The areas of the parallelogram CDEF and triangle EBF can be calculated

from which the difference between the areas can be found.

Response:

Area of the  parallelogram CDEF = CF × EB

Which gives;

Area of the  parallelogram CDEF, A = 29 cm × 21 cm = 609 cm²

Area of triangle EBF = [tex]\mathbf{\frac{1}{2}}[/tex] × BF × EB

Which gives;

Area of triangle EBF, [tex]A_{EBF}[/tex] = [tex]\frac{1}{2}[/tex] × 11 cm × 21 cm = 115.5 cm²

The difference in area, ΔA = A - [tex]\mathbf{A_{EBF}}[/tex]

Which gives;

ΔA = 609 cm² - 115.5 cm² = 493.5 cm²

Learn more about the area of regular shapes here:

https://brainly.com/question/10572314

Answer:

11 1/4 minutes or 11 min, 15 sec

Step-by-step explanation:

12/3 = 45/t

cross-multiply:

12t = 135

t = 11 1/4

Answer:

you will get 11.25

Step-by-step explanation:

12, 3 minutes

1,3 divide by 12

45,0.25 multiply 45