Fill in the spaces to complete the equality
Help

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:

(2, - 3 )

Step-by-step explanation:

Given the 2 equations

y = - 3x + 3 → (2)

y = - 9x + 15 → (2)

Substitute y = - 3x + 3 into (2)

- 3x + 3 = - 9x + 15 ( add 9x to both sides )

6x + 3 = 15 ( subtract 3 from both sides )

6x = 12 ( divide both sides by 6 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

y = - 3(2) + 3 = - 6 + 3 = - 3

solution is (2, - 3 )

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.

To know more about average speed follow

https://brainly.com/question/24739297

#SPJ2

Answer:

I can’t post an image, but I’ll explain below

Step-by-step explanation:

Start at a point where the line crosses through a coordinate exactly, like (0,1), and find a second one. Draw a line from the first to the right until it’s over the second point, then go down to the second point. It should look like half of a rectangle. Just follow the lines of the graph :)

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:

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:

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:

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:

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: [tex]7.81\ km[/tex]

Step-by-step explanation:

Given

Runner A runs towards North at speed of 10 km/h

Runner B runs towards East at speed of 12 km/h

After half hour, they covered a distance of

[tex]\Rightarrow d_a=10\times 0.5\\\Rightarrow d_a=5\ km[/tex]

[tex]\Rightarrow d_b=12\times 0.5\\\Rightarrow d_b=6\ km[/tex]

They are running in perpendicular direction to each other

So, the distance between them is  given by

[tex]\Rightarrow d=\sqrt{d_a^2+d_b^2}\\\Rightarrow d=\sqrt{5^2+6^2}\\\Rightarrow d=\sqrt{61}\\\Rightarrow d=7.81\ km[/tex]

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:

i dont know spanish

Step-by-step explanation:

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:

-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:

,‍♀️‍♀️‍♀️☺️️️️️️‍‍‍‍‍‍‍‍‍‍‍‍⚖️‍‍⚖️‍‍‍‍❤️‍‍‍❤️‍‍‍❤️‍‍‍❤️‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍️️☘️️️☃️⭐njdjdnfjfnfnfnf

Answer:

B. (2, 6)

Step-by-step explanation:

Xp = 1 + (1/6 × (7-1)) = 1 + (1/6×6) = 1+1 = 2

Yp = 8 + (1/6 × (-4-8)) = 8+(1/6×(-12))

= 8+(-2) = 6

the coordinate => (2, 6)

Answer:

24.

(-24 ÷

[tex] {6}^{2} [/tex]

16+8= 24

Answer:

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

Answer:

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

Answer:

the value is 1789 trust me out that in

Step-by-step explanation:

it just is

Answer:

y-8x+7=0

Step-by-step explanation:

slope(m)=8

using slope intercept form of equation of staright line we get

y=mx+b

y=8*x+b

y-8x=b ................  eq(i)

since the line include the point (2,9) it satisfies the euation,

here x=2 and y=9

equation: y-8x=b

9-8*2=b

9-16=-b

-7=b

substituting the value of b in eq(i) we get

y-8x=-7

y-8x+7=0   is a required equation of the line.

Answer:-1

Step-by-step explanation:

slope = y2-y1/x2-x1

Plug in all the values

-4-5/5+4

-9/9

= -1

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:

3.14

Step-by-step explanation:

Because you know it's the right answer.

Answer:

The answer is C

Step-by-step explanation:

the lowest point of the box plot is at 1  and the highest is at 19, so by that it can't be A.

The box plot shows 12 being the median so that automatically leaves C but just to make sure the first half would be 6 and half of the last part would be 16 if that makes sense.

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.

To learn more about amount click on,

https://brainly.com/question/13656761

#SPJ2

D. [tex] ({ - 8})^{2} - 9 + ( - 7)[/tex] ✅

Step-by-step explanation:

[tex] {( - 32 \div4 })^{2} - 9 + ( - 7) \\ \\ = ({ - 8})^{2} - 9 +(- 7 )\\ \\=64-9-7\\\\ = 64 - 16 \\ \\ = 48[/tex]

Note:-

[tex]\sf\red{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\sf\red{(+\:x\:-)\:=\:-}[/tex]

[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]