a boy standing on a vertical cliff, 50m high is looking down an angle of depression of 20° at a car. How far is the car from the base from the cliff?

Can someone please help me, it's due in 30 mins ​

Answer:

An equation that relates cost to the amount of sugar  S                                                 C = 6500 + 250s                                                                                                              the total cost is $1120                                                                                                          The total cost of transporting 19 tons of sugar at 250 each                                            C = total cost                                                                                                                                    C =6500 + 250(19)                                                                                                            total cost = 6500 + 4750 = 11250

Step-by-step explanation:

Answer:

Sin A: 35/37

Cos C: 35/37

Step-by-step explanation:

Sin A: 35/37

Cos C: 35/37

Using acronym SohCahToa we know

Sin is Opposite/Hypotenuse

Cos is Adjacent/Hypotenuse

With each problem we mark by the letter given to create adjacent side.

I hope this helps!

Answer:

the correct answer is 5 for the first one and 20 for the second one

Step-by-step explanation:

hope this helps

Answer:

The angle made by the line segments from the chord's endpoints to the centre or at any point on the circle, then the angle formed is called the angle subtended by the chord at a point

Step-by-step explanation:

Answer:

Step-by-step explanation:

I believe you mean the angle subtended by two chords. The angle is called an inscribed angle

Answer:

0.106

Step-by-step explanation:

100 meters= 382 feet (per hour)

60 minutes in an hour

60 seconds in a minute

382/60=6.34 inches per minute (rounded to nearest tenth)

1 minute = 6.34 inches

6.34 / 60 = 0.106 (rounded to nearest thousandth)

Answer:

( -2, 9 )

= C

Step-by-step explanation:

Answer: When you have two mutually exclusive events, to find the probability of one or another, you add the probabilities.

65+7=72

Final answer: B

Step-by-step explanation:

Answer:

2.93

Step-by-step explanation:

A room area

Lenght × Width = 16 × 12

= 192 square feet

1 square yard = 9 square feet

so 1 square feet = 1/9 square yard

192 square feet = 192 × 1/9 square yard

= 64/3 square yard

Total cost

$30 × 64/3 = $640

Answer:

The answer is 36

Step-by-step explanation:

Now, Evaluate

x² + 2(x + y)

(4)² + 2(4 + 6)

16 + 2(10)

16 + 20 = 36

Thus, The answer is 36

-TheUnknownScientist 72

Answer:

the answer is 36

hope it's helpful

Answer:

Self-confidence: When you develop a positive attitude, you will start feeling better about yourself. You will treat yourself with more respect and love, and this in turn will boost your confidence levels and inner strength. You will take on new challenges and come out of your self-limiting beliefs

Answer:

All in order:

YES

NO

NO

YES

Step-by-step explanation:

-7 + 5(-6) < 33 YES

-7 + 5(8) < 33 NO

-7 + 5(9) < 33 NO

-7 + 5(-4) < 33 YES

Factor when divides the function the remainder is zero. The factorized form of the function f(x)=125x⁶-8 is (5x²-2)(25x⁴ + 10x²+4).

A factor of a function is a factor which when multiplied by another the result is the function itself.

We know that in order to factorize a function, we need to take the common terms out from the expression,

[tex]f(x)=125x^6-8[/tex]

The given function can be written as,

[tex]f(x)=125x^6-8\\\\f(x)=5^3x^6-2^3\\\\f(x)=(5x^2)^3-2^3[/tex]

Now, we will use the algebraic property to solve the function.

[tex]f(x)=(5x^2)^3-2^3\\\\f(x)=(5x^2-2)(25x^4+10x^2+2^2)\\\\f(x)=(5x^2-2)(25x^4+10x^2+4)[/tex]

Hence, the factorized form of the function f(x)=125x⁶-8 is (5x²-2)(25x⁴ + 10x²+4).

Learn more about Factors:

https://brainly.com/question/6810544

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

Florence Nightingale OM RRC DStJ was an English social reformer, statistician and the founder of modern nursing. Nightingale came to prominence while serving as a manager and trainer of nurses during the Crimean War, in which she organised care for wounded soldiers at Constantinople.

Answer:

Step-by-step explanation:

Total pieces of salad in the circle:

Orange pieces are 6 out of 24:

Total pieces

Orange fraction

Answer:

A fraction is written in simplest form when the GCF of the numerator and the denominator is 1.

Step-by-step explanation:

if both still shared common factors you could keep reducing the fraction

Answer:

it will take Isaac 13.3... mins and 9 mins for Juanita

Step-by-step explanation:

I think

Answer:

7.3 minutes

Step-by-step explanation:

Isaac: 3 apples/minute

Juanita: 5 apples / 2 minutes = 2.5 apples/minute

Together: 5.5 apples/minute

40 apples / (5.5 apples/minutes) = 7.3 minutes

Step-by-step explanation:

B) False

7:5 is reciprocal of 5:7

[tex]\textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=x^2-4x-45\\ w=x+5 \end{cases}\implies x^2-4x-45=L(x+5) \\\\\\ \cfrac{x^2-4x-45}{x+5}=L\implies \cfrac{(x-9)~~\begin{matrix} (x+5) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix}x+5 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }=L\implies x-9=L[/tex]

Answer:

Check the attachment.

Answer:

6 miles

Step-by-step explanation:
Area is :

[tex]A = \frac{1}{2} hb[/tex]  OR [tex]A = \frac{hb}{2}[/tex]
So base is :
[tex]b = 2 \frac{A}{h}[/tex]
Substituting values given:
b = 2 × (13.5÷4.5)
b = 2×3
b=6

Answer:

the length of the base= 6miles

Step-by-step explanation:

Area of triangle =1/2 *Base*Hight

Now we sub the values in the formula:

13.5 = 1/2 * (length of the base) * 4.5

length of the base = (2 * 13.5)/4.5

length of the base = 6 miles

Answer:

32 m, 80 m^2

Step-by-step explanation:

Ratio of their sides = 12 : 8 = 3 : 2

Ratio of their perimeter = 3 : 2

so 48 : perimeter of smaller triangle = 3 : 2

Perimeter of smaller triangle = 48 * 2 / 3 = 32 m

Ratio of their areas = 3^2 : 2^2 = 9 : 4

so 180 : area of smaller triangle = 9 : 4

Area of smaller triangle = 180 * 4 / 9 = 80 m^2

Dilation involves changing the size of a figure

The endpoints of the image are (0,3) and (8,3)

The coordinates of the pre-image are give as:

(2,2) and (6,2)

The scale factor is given as:

k = 2

The center of dilation is given as:

(a,b) = (4,1)

The coordinates of the image are then calculated as:

(x,y) = (k(x -a) + a, k(y -b) + b)

For (2,2), we have:

[tex](x,y) \to (2(2 -4) + 4, 2(2 - 1) + 1)[/tex]

[tex](x,y) \to (0, 3)[/tex]

For (6,2), we have:

[tex](x,y) \to (2(6 -4) + 4, 2(2 - 1) + 1)[/tex]

[tex](x,y) \to (8, 3)[/tex]

Hence, the endpoints of the image are (0,3) and (8,3)

Read more about dilation at:

https://brainly.com/question/3457976

The number of rats in the sample are less than 30, therefore, according

to the central limit theorem, cannot approximate the population.

Response:

a) Should not be used because the Large Counts Condition is violated

The proportion of the rats given M that succeeded, [tex]\hat p_1[/tex] = 7 ÷ 10 = 0.7

The proportion of the control rats that succeeded, [tex]\hat p_2[/tex] = 2 ÷ 10 = 0.2

H₀: [tex]\hat p_1[/tex] = [tex]\hat p_2[/tex]

Hₐ: [tex]\hat p_1[/tex] > [tex]\hat p_2[/tex]

The z-test formula for the difference between two proportion is given as follows;

[tex]Z= \mathbf{\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}}[/tex]

Where;

[tex]\hat p = \dfrac{7 + 2}{10 + 10} = 0.45[/tex]

[tex]Z=\dfrac{0.7-0.2}{\sqrt{0.45\times (1-0.45) \times \left (\dfrac{1}{10}+\dfrac{1}{10} \right )}} \approx \mathbf{ 2.25}[/tex]

p = 1 - p(z < 2.25) = 1 - 0.9878 = 0.0122

However, the number of rats in the sample, n are less than 30

Therefore;

The sample is not large enough for the test compared to the population,

and for a normal approximation which gives;

a) Should not be used because the Large Counts Condition is violated

Learn more about normal distribution here:

https://brainly.com/question/15805498

Answer:

[tex]\frac{3x + 1}{5}[/tex]

Step-by-step explanation:

y = [tex]\frac{5x-1}{3}[/tex]

make x the subject

3y = 5x - 1

3y + 1 = 5x

[tex]\frac{3y + 1}{5}[/tex] = x

now switch x with y
so,

[tex]\frac{3x + 1}{5}[/tex] (ans)

B because thd mbajdidiidid

Answer:

( -5, 4 )

Step-by-step explanation:

(y = x + 9) 2

y = -2x - 6

2y= 2x + 18

y = -2x - 6

3y = 12

y = 4

4 = x + 9

-9         - 9

-5 = x

Answer:a=70

c=110

b=110

Step-by-step explanation:

The solution is in the attached file filatache

Answer:

A = 70

B = 110

C = 110

Step-by-step explanation:

A is opposite of the 70 degree angle, and vertical angles are equal, so it is also 70 degrees.

A straight line is 180 degrees, so 70 + B = 180, making B = 110 degrees.

Both of these rules apply for C, making it also 110 degrees.

Dilation involves changing the size of a shape

The scale factor is 2, and the value of the variable is 6

From the figure, the scale factor is the quotient of the red figure and the blue figure.

So, we have:

[tex]k = \frac{28}{14}[/tex]

Divide

[tex]k = 2[/tex]

The value of the variable (n) is then calculated as:

[tex]n * k = 12[/tex]

This gives

[tex]n * 2 = 12[/tex]

Divide both sides by 2

[tex]n = 6[/tex]

Hence, the scale factor is 2, and the value of the variable is 6

Read more about dilation at:

https://brainly.com/question/3457976

a = b

b = 180° - 130° = 50°

so a = 50°