1. A signal tower has two lights that are 30 feet apart from each other, one directly above the other. From

a boat, the angle of elevation of the lower light is 14 degrees, and the angle of elevation yo the upper

light is measured to be 32 degrees.

a) Find to the nearest foot the distance from the boat to the lower light.

b) The boat and the foot of the tower are in the same horizontal plane. Find to the nearest foot the

distance from the boat to the foot of the tower.

Answer:

375in^2

Step-by-step explanation:

area of a trapezoid is base + base divded by 2 then times that by the height

20 + 30 = 50

50/2 + 25

25 x 15 = 375

Answer:

2 1/3 cups of apple cider

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

A man takes an interest free loan of Rs. 1740 from his friend agreeing to repay in monthly installments. he gives Rs. 200 in the first months and diminishes his monthly installments by Rs. 10 each month. how many months will it take to repay the loan?

Answer:

Percent error is 44.4%

Step-by-step explanation:

Here, we want to get the percent error

From the question, prediction is 54 while actual value is 78

from the formula given;

Percent error = |prediction-actual|/actual * 100%

so we have

|54-78|/54 * 100%

= 24/54 * 100% = 44.4%

Answer:

y = 19*(8)^x

Step-by-step explanation:

We want to write an equation like:

y = a*b^x

That goes through the points (0, 19) and (3, 9728)

Then, when x = 0, we must have y = 19

Replacing those values in the equation we get:

19 = a*b^0 = a*1 = a

19 = a

Then the equation is:

y = 19*b^x

We also know that when x = 3, y = 9728

If we replace these values in the equation, we get:

9728 = 19*(b)^3

Let's solve this for b.

9728/19 = b^3

512 = b^3

∛512 = b = 8

Then the equation is:

y = 19*(8)^x

Answer:

11 students  :)

Step-by-step explanation:

That should be correct if I'm wrong just ignore this.

The number of students who took more than 45 minutes to complete their homework is 11.

A stem-and-leaf display, also known as a stem-and-leaf plot, is a technique used to visualize the shape of distribution by displaying quantitative data in a graphical fashion, similar to a histogram.

For the given stemplot the number of students who took more than 45 minutes to complete their homework can be calculated by counting the number of observations that are more than 45.

Therefore, the observations that are more than 45 are 48, 49, 51, 53, 53, 53, 53, 55, 60, 60, and 60.

Hence, the number of students who took more than 45 minutes to complete their homework is 11.

Learn more about Stemplot here:

https://brainly.com/question/9125085

#SPJ2

you have to attach a picture or type the question so we can solve it :)

Answer:

The median

Step-by-step explanation:

If you look at the sample section of the 5 different prices, you can see that $2,000 is very far away from the rest of the prices, which range from $14,000 to $17,000. This $2,000 is an outlier, and is likely not accurate in predicting reasonable prices for Hank's bike, so it should not be a factor in his decision or contribute to the mean value.

Answer:

- 8

Step-by-step explanation:

- 8 × 2 - (- 8)

- 8 × 2 + 8

- 16 + 8

- 8

Answer:

-8 i think

Step-by-step explanation:

-8 * 2 + 8

-16 + 8

-8

Answer:

Step-by-step explanation:

Here, we need to know about the concept of the alternate interior angle theorem. This says that the alternate interior angle of two parallel lines formed with one transversal is equal. For a more graphical explanation, please refer to the attachment below.

--------------------------------------------------------------------------

Given

∠GBD=4x+84

∠EFC=16x

m∠GBD=m∠EFC

Solve

4x+84=16x ⇔ Given

4x+84-4x=16x-4x ⇔ Subtract 4x on both sides

84=12x ⇔ Simplify

84/12=12x/12 ⇔ Divide 12 on both sides

x=7 ⇔ Simplify

Substitute the x value into each angle expression

∠GBD=4x+84=4(7)+84=28+84=112

∠EFC=16x=16(7)=112

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Its C

Step-by-step explanation:

Answer:

C. 3

Step-by-step explanation:

First I'll solve y + 1 = 3x - 12 for y.

y + 1 = 3x - 12 All you need to do for this first part is subtract 1 from both sides.

y = 3x - 12 - 1

y = 3x - 13

I'll use the point for x being 6, and x being 12.

3(6) - 13

18 - 13

5

y is 5 when x is 6. (6, 5)

3(12) - 13

36 - 12

y is 23 when x is 12. (12, 23)

The formula for slope is y2-y1/x2-x1

(23 - 5)/(12 - 6) Subtract 5 from 13, and then subtract 6 from 12.

18/6 Divide 18 by 6.

3

The slope to the line y + 1 = 3(x - 4) is 3, which is C.

Answer:

(12. 21)

Step-by-step explanation:

Given the coordinate (5, 9), if it is dilated by a factor of 2, the resulting coordinate will be expressed as;

P = 2(5, 9)

P = (2(5), 2(9))

P = (10, 18)

If it is now translated 3 up and 2 right, then the final coordinate will be at;

P' = (10+2, 18+3)

P' = (12, 21)

Hence the final image will be at (12. 21)

Answer:

y = 1/3x - 2

Slope = 1/3

y- intercept = -2

Step-by-step explanation:

To find the slope and y-intercept, first put the equation in y = mx + b format, Where m is your slope and b is your y-intercept.  

Step one:  Subtract x from both sides

To translate x over to the right side of the equation, subtract x from both sides, leaving you with this equation:

x - x -3y = -x + 6; which simplifies to:

-3y = -x + 6

Step Two: Divide Every Term By Negative 3

To get y alone by itself we need to cancel out -3 on the right side of the equation, to do that you must divide every term by negative 3 leaving you with this equation:

[tex]\frac{-3}{-3}[/tex]y = [tex]\frac{-1}{-3}[/tex]x + [tex]\frac{6}{-3}[/tex]; which simplifies to:

y = 1/3x - 2

M, slope, = 1/3

B, y-intercept, = -2

Answer:

7542.96

Step-by-step explanation:

Answer:

pls give brainlist

Step-by-step explanation:

a. [tex]\frac{50 blocks (L)}{9 blocks(W)\\}[/tex]  50 x 9 = 450. A=450

b. I can scale the unit rate of the area given above and largen the area of the map. Ex. [tex]\frac{7}{3}[/tex]=[tex]\frac{21}{6}[/tex] <---(scaled by 2)

Then we can enlarge it however we want so,

[tex]\frac{21}{6}[/tex] = [tex]\frac{42}{12}[/tex]  <--(scaled by 2 once more)

If the statement above is true then we can scale times 4.

[tex]\frac{7}{3}[/tex]= [tex]\frac{42}{12}\\[/tex] <---(scaled by 4)

A= [tex]\frac{42}{12\\}[/tex]

all i can give u at the moment , if u go on M a t h w a y it can help

Answer:

for them to get brainliest <3

Step-by-step explanation:

Answer:

1244 Ibf(Pounds force)

Step-by-step explanation:

The formula for Total force on a piston when given the diameter of the bore area =

F = P × π × d²/4

P = 150 lb/sq.In

π = 3.14

d = 3.25 in

Hence,

F = 150 lb/sq.In × 3.14 × 3.25 in /4

= 4974.9375 ÷ 4

= 1243.734375 Ibf(Pounds force)

Approximately = 1244 Ibf(Pounds force)

Answer:

i d k thats a tuff question

Step-by-step explanation:

Answer:

x is 12

Step-by-step explanation:

Equilateral triangles have equal angle measures, and 5 times 12 equals 60.

Answer:

-2x+7

Step-by-step explanation:

Answer:

-2x+7

Step-by-step explanation:

Apply the absolute rule:

If |u| <a, a>0 then -a <u < a

|x-4| <9

-9 < x-4 < 9

The correct answer is the second one.

Answer:

School X has 12 points and school y has 4 points.

Answer:

4.4444444e+22

Step-by-step explanation:

Th y intercept of the table is:

(23-9)/(9-2)= 14/7=2

The answer is:

A

y=x+9, because the y-intercept of the function represented by the table of values is 2

Answer:

Total number of marbles = 12

P (1 red & 1 orange) =

[tex] \frac{1 + 1}{12} \\ = \frac{2}{12} \\ = \frac{1}{6} \\ = 0.16[/tex]

Answer:solution given:

total no of marbles [S]=12

total no of red marbles[R]=5

total no of green marbles[G]=3

total no of yellow marbles[Y]=2

total no of orange marbles[O]=2

now

the P( red, then orange) n[p]=?

we have

n[p]=[tex] \frac{n[R]+n[O]}{n[S]} [/tex]

n[p]=[tex] \frac{5+2}{12} [/tex]

n[p]=[tex] \frac{7}{12} [/tex]

the P( red, then orange) n[p]=[tex] \frac{7}{12} [/tex]

Answer:

~27.764982043070833894247682407876

Step-by-step explanation:

First, we can add 8+5.5+8 because of the two sides which are 8 and one that is 5.5. That is 21.5.

Then, we must find the diagonal edge. To do that, we can use the pythagorean theorem. It makes a triangle, so given that a^2+b^2=c^c, we can say that 3^2+5.5^2=c^c. Using a calculator, we can find the square root of 39.25, then add it to 21.5.

Answer:

27.8

Step-by-step explanation:

the other person that answered this is right if you but if you wanted rounded to the nearest tenth it would be would be my answer

Answer:

The probability is 4/11

Step-by-step explanation:

Here, we want to get the probability of getting an even number

Using the given ratio, the total of the numbers is 4 + 7 = 11

The number of even numbers is 4

So the probability of getting an even number will be the number of even numbers divided by the total of the numbers

We have this as 4/11

Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5

If this line is given to have a slope of 3/2, let us at least put it in standard form, substituting the point ( 7, 4 ) into the equation afterwards:

y = 3/2* x + b, provided b ⇒ y - intercept,

( 4 ) = 3/2 * ( 7 ) + b,

4 = 21/2 + b,

b = 4 - 10.5,

b = -6.5

Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5

Answer:

Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5

If this line is given to have a slope of 3/2, let us at least put it in standard form, substituting the point ( 7, 4 ) into the equation afterwards:

y = 3/2* x + b, provided b ⇒ y - intercept,

( 4 ) = 3/2 * ( 7 ) + b,

4 = 21/2 + b,

b = 4 - 10.5,

b = -6.5

Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5

Step-by-step explanation:

Answer:

6x^2 + 3x + 1

Step-by-step explanation:

( 5x^2 + 8x ) + ( x^2 - 5x + 1 )

= 5x^2 + x^2 + 8x - 5x + 1

= 6x^2 + 3x + 1