A man wants to cut down a tree in his yard. To ensure that the tree doesn’t hit anything he needs to know the height of the tree. He measures his distance from the tree at 18 meters and the angle of elevation to the tree at 80 degrees. What is the height of the tree to the nearest tenth of a meter?

Answer:

The equation of the line that is perpendicular to y = 2x + 2 is

y = -1/2x

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is 2

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

0 = b

b = 0

We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x  is perpendicular to y = 2x+2"

Given:

Side length of square is x = 10 in.

To find:

Area of a square with side length x when x = 10 in.

Check whether the area of a square and the length of its side directly proportional.

Solution:

Area of square is

[tex]Area=(side)^2[/tex]

[tex]Area=x^2[/tex]

For x=10, we have

[tex]Area=(10)^2[/tex]

[tex]Area=100[/tex]

Therefore, the area of square is 100 sq. in. when x=10 in.

For x=1,

[tex]A_1=1^2=1[/tex]

[tex]\dfrac{A_1}{x_1}=\dfrac{1}{1}=1[/tex]

For x=2,

[tex]A_2=1^2=4[/tex]

[tex]\dfrac{A_2}{x_2}=\dfrac{4}{2}=2[/tex]

Here, [tex]\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}[/tex].

Since, [tex]Area=(side)^2[/tex] and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.

Answer:

18

Step-by-step explanation:

6×3=18

Answer:

18

Step-by-step explanation:

Answer:

the first option

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

i got it right

Answer:The answer would be x=c+k/4

Step-by-step explanation:

The required solution for the equation ax -c = k for x is x = (k + c)/4.

Given that,
To determine the solution of the equation  4x- c= k for x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
4x - c = k
Now, simplifying the above equation for x,
4x - c = k
4x = c + k
x = (c + k) / 4

Thus, the required solution for the equation ax -c = k for x is x = (k + c)/4.

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Answer:

1.8

Step-by-step explanation:

Complete question is;

A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?

Answer:

θ = 70.5°

Step-by-step explanation:

The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.

I've attached a diagram showing the triangle made by this ladder and the wall.

From the attached diagram, we can see the triangle formed by the ladder and the wall.

We can find the angle of elevation θ from trigonometric ratios.

Thus;

7/21 = cos θ

cos θ = 0.3333

θ = cos^(-1) 0.3333

θ = 70.5°

Hi there! Hope this helps.

Answer:

Look below.

Step-by-step explanation:

I didn't know if you wanted the answer or just an explanation, so I'll give you an explanation for now.

Look at all of the tables and find the one with the smallest, 2nd smallest, and 3rd smallest numbers and keep going up until you get to the biggest number.

Answer:

(- 8, 2 )

Step-by-step explanation:

A shift of 3 left means subtract 3 from the x- coordinate

A shift of 1 down means subtract 1 from the y- coordinate

Translation rule is

(x, y ) → (x - 3, y - 1 ), thus

(- 5, 3 ) → (- 5 - 3, 3 - 1 ) → (- 8, 2 )

Answer:

7 days

Step-by-step explanation:

Bamboo plant A = 1.2 + 0.45d

Bamboo plant B = 0.85 + 0.5d

Where,

d = number of days

Equate the two growth

Bamboo plant A = Bamboo plant B

1.2 + 0.45d = 0.85 + 0.5d

Collect like terms

1.2 - 0.85 = 0.5d - 0.45d

0.35 = 0.05d

Divide both sides by 0.05

d = 0.35 / 0.05

d = 7 days

Plant B be taller than Plant A after 7 days

Answer:

9

Step-by-step explanation:

you would do .75*12 because there are 12 stories and each one is .75 yards long, so to get all together, you do 0.75*12

Sorry im in a hurry

[tex]\frac{4}{6}[/tex] simplified is [tex]\frac{2}{3}[/tex] this plus [tex]\frac{5}{7}[/tex] equals 1[tex]\frac{8}{21}[/tex]

Answer:

c

Step-by-step explanation:

Well.

Step-by-step explanation:

For me, typically I dont read the question properly and do the math wrong. Other moments I cant even figure out what exactly the question is even asking.

Step-by-step explanation:

You can try to read the word problem once first (no need to be really through just need to get an idea of what's really happening), and then read again, now a little more through, where you need to understand what the question wants of you. Once you understood the question, relate it to the topic you have learnt and see if there's any formula in this topic that you have been taught. If there is, keep all of these formulas in mind. If there isn't then it's good just search for all the numbers given in the question and form and equation in it or just solve. If there may be formulas involved, try relate the question/info given to the formulas you have in your head and yeah

Answer:

C

Step-by-step explanation:

35+35+x=180

x=180-70

x=110

Answer:

$125

Step-by-step explanation:

If you divide 160 by 32 you will get 5 then you will multipy 5 by 25 to get $125

Answer

125$

Step-by-step explanation:

5x32=160

5x25=125

Each pound of apples is equivalent to 5$

Answer:

The second band

Step-by-step explanation:

50+20=70

20+25=45

Answer:

Slope is 3

Step-by-step explanation:

y2 - y1/x2 - x1 = m

6 - 12/0 - 2 = m

-6/-2 = m

3 = m

Pls brainliest

Answer:

add all the numbers up in 1 2 3 4 and 5

Step-by-step explanation:

Answer:3 4 5 7

Step-by-step explanation:

Answer: k = 3

Step-by-step explanation:

Answer:

k=3

Step-by-step explanation:

26=6k+8-6+2k

combine all common integers from the same side, (8-6) and (6k+2k).

8-6=2

6k+2k=8

Which now translates the equation to 26=8k+2.

26=8k+2

continue by moving the (2) to the other side, do so by subtracting 26-2.

26-2=24

24=8k

Lastly, move the 8 to the other side of the equation by dividing 24/8.

24/8=3

Therefore, k=3

Answer:

120

Step-by-step explanation:

Divide 2400 by 20 to get your answer! It may be wrong

Answer:

W = 40

L = 60

Step-by-step explanation:

L = 20 + W

L*W = 2400

(20 + W)*W = 2400

W^2 + 20*W - 2400 = 0

(W + 60)*(W - 40) = 0

W = 40 (yards)

L = 20 + W

= 20 + 40 = 60

W = 40

Answer:

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.

Step-by-step explanation:

Given that

Volume of cube = V = 2197 cubic feet

Side of cube = a =?

Height of ware house = h = 14 feet

In order for the crate to fit in the warehouse the height of crate has to be less than the height of warehouse i.e. a<h

In order to check this we have to find the side/height of crate

So,

[tex]V = a^3\\2197 = a^3[/tex]

Taking cube root on both sides

[tex]\sqrt[3]{a^3} = \sqrt[3]{2197}\\\sqrt[3]{a^3} = \sqrt[3]{13^3}\\ a = 13\ feet[/tex]

So the height of cube is 13 feet.

Comparing the height of c and height of ware house we can conclude that

Height of Warehouse > Height of crate

h>a

14>13

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.

Answer:

2 outcomes

Step-by-step explanation

The Roslin has 32 students in her class, of these students, 14 are girlsl number of outcomes are 252.

It is a branch of mathematics that deals with the occurrence of a random event.

The total number of outcomes can be found by multiplying the number of options for choosing a boy by the number of options for choosing a girl:

Number of outcomes = number of options for choosing a boy x number of options for choosing a girl

Since Mrs. Roslin has 32 students in her class, there are 32 - 14 = 18 boys in her class.

So the number of options for choosing a boy is 18, and the number of options for choosing a girl is 14.

Therefore, the total number of outcomes is:

18 x 14 = 252

Hence, the total number of outcomes is 252.

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Answer:

i don't have the answer but this is the translation guys

Step-by-step explanation:

What is the relationship between the area of ​​the scale drawing and the area of ​​the actual basketball court? 4.2 inch scale A. Show how you can find the area of ​​1 inch: 20 feet D. Is the ratio of the actual area to the area in the drawing the same as the ratio of the court in the scale drawing B. Show how you can Find the length and width of the actual court. C. What is the area of ​​the actual basketball court? Show your work. the actual lengths and the lengths of the drawing? Explain your answer,

80 children x 5 days = 400 total lunches.

£100 / 400 lunches = £0.25 per lunch

The cost for one lunch for one student is £0.25

Answer:

10.62 is the correct answer ☺

Answer:

for brainliest you have to give answers not to ask questions

Step-by-step explanation:

then the people choose you brainliest if you give good answers

Answer:

it should be 12

i think :)

i hope im correct

Step-by-step explanation: