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Answer: 2000.25 ft

Step-by-step explanation:

Given

Height of lighthouse [tex]h=175\ ft[/tex]

Angle of elevation [tex]\theta=5^{\circ}[/tex]

Suppose, you are x feet away from lighthouse

From the figure, we can write

[tex]\Rightarrow \tan 5^{\circ}=\dfrac{175}{x}\\\\\Rightarrow x=\dfrac{175}{\tan 5^{\circ}}\\\\\Rightarrow x=2000.26\ ft[/tex]

Thus, the ship is 2000.25 ft away from the light-house

Answer:

where is the dot plot??

Step-by-step explanation:

If $5 out of every $100 a worker earns goes for clothes, the worker spends $200 on clothes from a $4,000 annual wage.

To determine how much a worker spends on clothes from a $4,000 annual wage, we need to calculate 5% of that amount.

The worker spends $5 out of every $100 earned on clothes. This means the worker spends 5% of their earnings on clothes.

To find 5% of $4,000, we can multiply $4,000 by 0.05:

$4,000 * 0.05 = $200

This calculation is based on the assumption that the worker consistently spends 5% of their income on clothes throughout the year.

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Line p and q are not parallel, because the two given alternate interior angles are not congruent. (It’s B)

The distance travelled by the Lucas will be equal to 105 miles.

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.

The average speed is defined as the total distance travelled by train in total time.

Given that Lucas took an express train into the city last weekend without any stops. He boarded the train at 9:30 am and arrived in the city at 11:15 a.m. The train's average speed was 60 miles per hour.

Time = 105 minutes = 105 / 60 = 1.75 hours

The distance travelled by train will be calculated as,

Distance =  Speed x Time

Distance = 60 x 1.75

Therefore, the distance travelled by Lucas will be equal to 105 miles.

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Answer:

24

Step-by-step explanation:

XW=WY=12

If the opposite angle is 30, the hypotenuse is double the small side.

XZ=XW=2·12=24

Answer:

-20

lmk if u need a step-by-step explaination id be glad to help you <3

Answer:

-20

Step-by-step explanation:

-5 ^ 2 is -25

|-1| is the same as 1

so this will be

-25 + 8 - 3

- 20

Answer:

3

Step-by-step explanation:

area of rectangle = length × width

so the the given area is 12

area of rectangle is 12 = 4 × width

so when we multiply 4 × 3 we get 12

and the final answer is ...

area of rectangle = length × width

4× 3 = 12

Answer:

12

Step-by-step explanation:

The triangles are similar because they have the same angles.

Make a proportion to solve for AC which we will substitute with variable x.

AM = MB = 4

AB = AM + MB = 8

BN = NC = 3

BC = BN + NC = 6

big triangle sides: 8, 6, x

small triangle sides: 4, 3, 6

now we can write proportion.

8/4 = x/6

x = 12

AC = 12

True

Hope this helps! :)

______________

Answer:

P = 11 4/5

Step-by-step explanation:

Let L = 2 1/2 and w = 3 2/5

[tex]P=2(2\frac{1}{2})+2(3\frac{2}{5})\\\\P=5+6\frac{4}{5}\\\\P=11\frac{4}{5}[/tex]

The perimeter as a mixed number is P = 11 & 4/5, but it seems like your teacher only wants the whole part of the answer. So you'll just type 11.

============================================================

Work Shown:

1/2 = 0.5

2 & 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5

This shows that L = 2.5 ft

Similarly, W = 3.4 ft because 3+2/5 = 3+0.4 = 3.4

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

Plug those L and W values into the perimeter formula

P = 2L + 2W

P = 2*2.5 + 2*3.4

P = 5 + 6.8

P = 11.8

now convert back to a mixed number

11.8 = 11 + 0.8

11.8 = 11 + 8/10

11.8 = 11 + 4/5

11.8 = 11 & 4/5

The perimeter is 11 & 4/5 ft. In other words, the perimeter is 11 whole feet plus an additional 4/5 of a foot.

Your teacher seems to only want the whole part of the answer, assuming they only want the stuff in the box indicated with a question mark. If that's the case, then you'll type 11 into the box to write the final answer.

Answer:

B

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into f(x) , that is

f(3) = [tex]\frac{1}{4}[/tex] × 2³ = [tex]\frac{1}{4}[/tex] × 8 = 2 → B

Answer:

2

Step-by-step explanation:

f(3)=1/4×2^3

f(3)=1/4×8

f(3)=8/4=2

Answer:

Step-by-step explanation:la neta ni idea ‍♀️

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Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

Because you know it's the right answer.

Answer:

$18.63

Step-by-step explanation:

15% of 45 is equal to 45 times .15, which is equal to 6.75.

45+6.75 = 51.75

Ben resold the guitar for $51.75

36% of 51.75 is equal to 51.75*.36 or 18.63

Ben spent $18.63 on books

Answer:

8

Step-by-step explanation:

use trig functions

2 sides and 1 angle given

Sides given

Angle

trig function associated with hyp and opp is sin

sin(x) = opp/hyp

substitute

sin 30˚ = 4/x

solve for x

0.5 = 4/x

0.5x = 4

x = 8

Answer:

Step-by-step explanation:

sin 30° = [tex]\frac{4}{x}[/tex]

x = [tex]\frac{4}{sin 30}[/tex]

x = [tex]\frac{4}{0.5}[/tex]

x = 8

Answer:

the value is 1789 trust me out that in

Step-by-step explanation:

it just is

Step-by-step explanation:

:)

Hola bro espero y te sirva

Answer:

749 lbs

Step-by-step explanation:

weight of the water in the mattress = volume of the mattress x weight of water

volume of the mattress = volume of a cuboid = length x width x height

6 x 2 x 1 = 12 ft³

weight of the water in the mattress = 12 x 62.4 = 748.8 lbs

749 lbs to the nearest pound

Answer:

SAS

Step-by-step explanation:

SAS (Side-Angle-Side) is a proof of congruence for two triangles. Since C stipulates that [tex]\angle ENM=\angle ZNM[/tex], the two triangles would share two sides and the angle between them, thus being congruent from SAS.

Answer:

5 inches by 25 inches

Step-by-step explanation:

From the question,

Let the width of the baking tray be(w) = x inches,

Then the lenght of the baking tray(l) = (2x+13) inches

If the area of the baking tray = 115 square inches

Applying,

A = lw................. Equation 1

Therefore,

x(2x+13) = 115

2x²+13x = 115

2x²+13x-115 = 0

Using factorization method to solve the quadratic equation

2x²-10x+23x-115 = 0

(2x²-10x)+(23x-115) = 0

2x(x-5)+23(x-5) = 0

(2x+23)(x-5) = 0

Either

2x+23 = 0

x = -23/2

or

x-5 = 0

x = 5.

dimensions of the tray is

w = 5 inches

l = (2×5)+15 = 10+15 = 25 inches

Hence the dimensions of the baking tray = 5 inches by 25 inches

Answer:

[tex]9^{2x-1} = 2\\[/tex]

Step-by-step explanation:

According to the law of logarithm;

[tex]If \ log_ab = x\\a^x = b[/tex]

Given

[tex]\log_9\left(2\right)=2x-1[/tex]

Comparing with the original expression;

a = 9, b = 2 and c = 2x - 1

Substitute into the result indicinal expression;

[tex]9^{2x-1} = 2\\[/tex]

This gives the required exponential equation

Answer:

c ......................

Answer:

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Answer:

correct option if Option D

Answer:

The answer is B.

Step-by-step explanation:

It can't be A, C, or, D because if the polygons were in a certain position, those transformations wouldn't work.

The definition of a rigid transformation is either a translation, rotation, or reflection. Therefore it must be B.

Sorry about how vague this is. It's hard to explain this without diagrams.

Answer:-1

Step-by-step explanation:

slope = y2-y1/x2-x1

Plug in all the values

-4-5/5+4

-9/9

= -1

Answer:

x= 70

Step-by-step explanation: