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A painter is placing a ladder to reach the third story window, which is 39 feet above the ground and
makes an angle with the ground of 80°.
How far out from the building does the base of the ladder need to be positioned? Round your answer to
the nearest tenth.
The base of the ladder needs to be positioned
feet out from the building.

Answer:

y-1=-3(x+2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = (x-3)²-1

This is the equation for an up-opening parabola with vertex (3,-1).

Find the x-intercepts:

0 = (x-3)²-1

(x-3)² = 1

x-3 = ±1

x = 4, 2

The graph crosses the x-axis at (4,0) and (2,0).

Find the y-intercept:

y = (0-3)²-1 = 8

The graph crosses the y-axis at (0,8).

Plot your four points (3,-1), (4,0), (2,0), (0,8). Draw an up-opening parabola through the points.

Answer: b the y-intercept is located at (0,70)

The exponential curve passes through the point (0, 70). Then the correct option is B.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The table addresses a few focuses on the diagram of the outstanding capability that models the radioactive rot of an example of xenon-135.

At x = 4.6, the value of 'y' will be 49.5.

[tex]\rm 49.5 = ab^{4.6} \ \ \ \ \ \ \ ...1\\[/tex]

At x = 9.2, the value of 'y' will be 35.

[tex]\rm 35= ab^{9.2} \ \ \ \ \ \ \ ...2[/tex]

From equations 1 and 2, then we have

[tex]\rm \dfrac{b^{9.2}}{b^{4.6}} = \dfrac{35}{49.5}\\\\b^{4.6} = 0.707\\\\b = 0.927\\[/tex]

Then the value of 'a' will be

[tex]\rm 49.5 = a (0.927)^{4.6}\\\\a = 70[/tex]

Then the equation is given as,

y = 70 · (0.927)ˣ

The graph is given below.

The exponential curve passes through the point (0, 70). Then the correct option is B.

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Answer:

14.06

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between 0 and 14.06 is 14.06.

Answer:

14.06

Step-by-step explanation:

|14.06| means the absolute value of 14.06, which is 14.06!

Hope that helps!

Answer:

well, y - 7 divided by 3 + 6 = y + 11/3

Step-by-step explanation:

hope this helps! have a nice day!

Answer:

32

Step-by-step explanation:

(4√2)^2=4^2×(√2)^2

=16×2

=32

Answer:

For Question 13 :∡ 1 = 130°; ∡ 2 = 50° ∡ 3 = 130°

For Question 14 :∡ 1 = 65°; ∡ 2 = 115° ∡ 3 = 65°

Step-by-step explanation:

Question 13:

There is multiple ways to solve those questions. However I will stick with the simple way.

1) We know that a straighteangle is = to 180°

2) Acording to the statment on step one we will say that ∡ 1 + the ∡ 50° = 180°

Resoectivelly

180° - 50° = ∡1

180° - 50° = 130°

∡ 1 = 130°

3) ∡ 2 + ∡ 1 = 180°

We already ∡ 1 from step 2, then

∡ 2 = 180° - 130°(∡1)

∡ 2 = 50°

4) ∡ 2 + ∡ 3 = 180°

∡ 3 = 180° -  50° (∡ 2)

∡ 3 = 130°

Question 14 1) We know that a straighteangle is = to 180°

2) Acording to the statment on step one we will say that

angle 1 + the angle  115° = 180°

Resopectivelly

180° - 115° = ∡ 1

180° - 50° = 65°

∡1 = 65°

3) ∡ 2 + ∡ 1 = 180°

We already∡ 1 from step 2, then

∡ 2 = 180° - 65°(∡1)

∡ 2 = 115°

4) ∡ 2 + ∡ 3 = 180°

∡ 3 = 180° -  115° (∡ 2)

Have fun

Answer: 40%

Step-by-step explanation:

There are 70 cookies in total.

The gingerbread cookies number 28.

The percentage that are gingerbread will therefore be:

= Number of gingerbread/ Total number of cookies * 100%

= 28 / 70 * 100%

= 40%

Answer:

70%

Step-by-step explanation:

Since 1050 were satisfied.....1050/1500=.7 tun into percent u get 70%

Answer:

It will be 29.39

Step-by-step explanation:

Hope this Helped

[tex] \sin ^{ - 1} ( \frac{4}{9}) = 26.39[/tex]

Answer:

gradient = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

4y - 5x = 2 ( add 5x to both sides )

4y = 5x + 2 ( divide the terms by 4 )

y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{1}{2}[/tex] ← in slope- intercept form

with gradient m = [tex]\frac{5}{4}[/tex]

Answer:

√169=13

Step-by-step explanation:

can also be understood by 13×13=169

Answer:

13

Step-by-step explanation:

√169 = 13

Answer:

1/24  ≈0.042

Step-by-step explanation:

Answer:

4. perimeter = 232cm

area = 1600cm²

5. perimeter = 30m

width = 8m

Step-by-step explanation:

Perimeter is the sum of the all the sides of a figure.

Area is given as length times breadth

message me for the rest of the answers and explanation

Answer:

27.46

Step-by-step explanation:

Answer:

7745 -40374 is the correct statement

Answer:

Step-by-step explanation:

The question is kind of confusing but I think the answer is A.

Answer:

C is the correct answer

Step-by-step explanation:

I did this exact one and it was right I hope this helps! Have a good day! :)

Proof:

Answer:

128 ft sq.

Step-by-step explanation:

The way you find the area of a square is by multiplying one side by another, and since it is a square, the sides are the same. This means that if we have a square with a side length of x, the way to find the area of that square is to multiply x by x, which can be written as [tex]x^2[/tex]. Now, since we're doubling this, we can say that double Mary's garden is [tex]2 * x^2[/tex]. If we substitute 8 in for x, we have to multiply [tex]8^2[/tex] by 2 or 8 by 8 by 2 to find our answer. 8 times 8 is 64 and 64 times 2 is 128.

Answer:

The second top one. if they have ANY repeating y values its not a function

Step-by-step explanation:

Answer:

tatatatatatatatatatatatatata

Step-by-step explanation:

the duck is so cute

Answer:

DUCKYYY :DDD

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

we multiply 50 by 54 and divide 60 my the number you get after multiplying

so 50*54/60 that is 45

Answer:

750$

Step-by-step explanation:

[tex]Amount= 300*\frac{1050}{420} =750[/tex]

It will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

To find out how much it will cost to tile a room with 1,050 square feet, we can set up a proportion using the given information.

Cost₁: The cost to tile the first room with an area of 420 square feet, which is $300.

Area₁: The area of the first room, which is 420 square feet.

Cost₂: The cost to tile the second room with an unknown area, which we want to find.

Area₂: The area of the second room, which is 1,050 square feet.

We can set up the proportion:

Cost₁ / Area₁ = Cost₂ / Area₂

Substituting the known values:

$300 / 420 sq ft = Cost₂ / 1,050 sq ft

Now we can solve for Cost₂:

Cost₂ = ($300 / 420 sq ft) * 1,050 sq ft

Calculating:

Cost₂ = $0.7143 * 1,050 sq ft

Cost₂ ≈ $750.01

Therefore, it will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

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Answer:

this would be the answer 40.5.

Take the 90 and multiply it by 45. Then multiply that by . 01.

Answer:

Seven take away two is equals to five

Step-by-step explanation:

Because,

Seven take away two is equals to five

is the same to

7 - 2 = 5

Answer:

X=45

Step-by-step explanation:

45+3x=180

180-45=135

135/3=45

x has to be 45

x=45

I'm assuming we're looking for the hypotenuse?

[tex]sin = \frac{opp}{adj} [/tex]

[tex] \sin(59) = \frac{94}{hyp} [/tex]

[tex]hyp = \frac{94}{ \sin(59) } [/tex]

[tex]hyp = 109.6635393382 feet[/tex]

The string is 109.66 feet long.

Answer:

B

Step-by-step explanation:

4x = 10

x = 10 / 4 = 2.5

Answer:

Step-by-step explanation:

8/8     5/5