A 30-foot ladder is leaning against an office building. if the base of the ladder is
12 feet away from the base of the building, find the angle of elevation. round to
the nearest degree (whole number). really need this for a test

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

Combined area = big rectangle + smaller rectangle - triangle

Hence:

733 = (13 * (59 - x)) + (x * 9) - 0.5(9 - 7) * (x - 6)

733 = 767 - 13x + 9x - x + 6

x = 8 feet

The value of x in the diagram is 8 feet that makes the combined area of the house and the porch to be 733 ft²

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Answer:

$26.42

Step-by-step explanation:

P = 30 * 0.82 * 1.074 = 26.42

Answer:

the answer is 379.9m²

Step-by-step explanation:

half of 22 is ll time 3.14 equals 379.94. to the nearest tenth is 379.9

Answer: x = 5, y = 7

Step-by-step explanation:

First, put the variables together/rearrange:

y - x = 2 & 5x - 4y = -3

Cancel out variable x by multiply the first equation by 5:

5y - 5x = 10 & 5x - 4y = -3

Add equations:

y = 7

Then determine x by plugging y back into the first equation y = x + 2:

x = 5

Answer:

One is a rhombus.

Step-by-step explanation:

Answer:

AAA is not a congruency postulate because it could only prove that triangles are similar, not congruent.

Step-by-step explanation:

Step-by-step explanation:

-4-(3)=-7

step two

3+(-5)=-2

step three

4+6=10

step four

-5-9=-14

step five

-4+(-9)=-13

Answer:

a) -4 - ( 3) = - 7

b) 3 + ( -5) = 3 - 5 = -2

c) 4 + 6 = 10

d) -5 -9 = - 14

e) -4 + ( -9) = -4 -9 = - 13...

Answer:

11) [tex]5\sqrt{7}[/tex] yd

12) [tex]2\sqrt{10}[/tex] cm

13) 9 ft

14) [tex]\sqrt{95}[/tex] cm

15) [tex]5\sqrt{5}[/tex] km

16) [tex]\sqrt{39}[/tex] yd

Answer:

2nd problem

The sum of the angles of the triangle is 180°.

B= 90°

There are different kinds of math problem. There will be 11 rats in sewer #1.

The term  word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.

Lets take

sewer #1 = a

sewer #2 = b

sewer #3 = c

Note that   A=B-9

So then you would have:

A=B-9

B=C- 5

A+B+C=56

Then you have to do a substitution so as to find C:

(B- 9) + (C-5) + C = 56

{ (C- 5)-9} + (C-5) + C = 56

3C - 19 = 56

3C = 75

B = C- 5

B = 25 - 5

Therefore, B = 20

A = B - 9

= 25 - 9

=11

Therefore, there are are 11 rats in sewer #1

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The distance between points (4,6) and (4,-1) is 7 units.

Given The coordinates of the end points of line (4,6) and (4,-1).

Distance is the measurement about how far things are present on the surface. It is usually calculated in some units known as km, m, etc.

The distance between two points can be calculated as under:

Distance=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex] where the coordinates are (x1,y1),(x2,y2).

To calculate the distance we need to put the values of coordinates in the formula:

Distance between (4,6) and (4,-1)=[tex]\sqrt{(4-4)^{2} +(-1-6)^{2} }[/tex]

=[tex]\sqrt{(0)^{2}+(-7)^{2} }[/tex]

=[tex]\sqrt{0+49}[/tex]

=[tex]\sqrt{49}[/tex]

=7

Hence the distance between (4,6) and (4,-1) is 7 units.

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#SPJ10

Answer:

it would be 7 units :)

Step-by-step explanation: cuz im smart and said so

Answer:

Dividing by same signs give a positive answer.

Dividing by different signs give a negative answer.

Step-by-step explanation:

Quotient is just a term for the answer given by a division problem.

positive/positive = positive

positive/negative = negative

negative/positive = negative

negative/negative = positive

Answer:

The unknown number is -5.

Step-by-step explanation:

-3 + -5 = -8

-8 - -3 = -5

-8 - -5 = -3

The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Given the inequality:

|4x − 2| > 14

Hence:

4x - 2 > 14 or -(4x - 2) > 14

x > 4 or x < -3

The solution to the inequality |4x − 2| > 14 is x > 4 and x < -3

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Answer:

C. $104

Step-by-step explanation:

First, we need to figure out what percent $120 is of $1500.

120 ÷ 1500 = 0.08 = 8%. So, $120 is 8% of $1500, and this is the percentage that'll be used to calculate Sunday's commission.

0.08 (8%) × 1300 = 104

Thus, you earned $104 on Sunday.

Here we are given that ;

[tex]{:\implies \quad \sf f(x)=x^{2}-81}[/tex]

Differentiating both sides w.r.t.x ;

[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2}-81)}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2})-\dfrac{d}{dx}(81)}[/tex]

[tex]{:\implies \quad \sf f^{\prime}(x)=2x^{2-1}-0}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f^{\prime}(x)=2x}}}[/tex]

This is the required answer

Sales tax amount:-

Price:-

Answer:

$17,280

Step-by-step explanation:

Given

Solving :

Step-by-step explanation:

given: x = -8,

putting value of x in given equation,

y=(-8)2+4

y= -16+4

y=-12

Step-by-step explanation:

x = "a number"

x/-5 - 18 > 3

Density is mass per unit volume.  The cost of the metals from the calculations performed is $1280.

Density is defined as the ratio of the mass of an object to its volume. We have the following information;

Mass of the metal = ?

Density of the metal = 5.2 g/cm3

height of the metal = 620 cm

radius of the metal = 19 cm

Volume of a cylinder = πr^2h = 3.142 * (19)^2 * 620 cm = 703242cm^3

Mass = density * volume = 5.2 g/cm3 * 703242cm^3

= 3657 Kg

If the cost is $0.35 per kilogram, then 3657 Kg costs; 3657 Kg * $0.35

= $1280

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Answer: D

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

(-2(-4))^2

8^2

64

hope that helps

Step-by-step explanation:

3x + 4 = 72 - x

3x - x = 72 - 4

2x = 68

x = 39

The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:

For this case, we're specified that:

y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]

We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8

Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]

Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:

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Answer: vertical compression of 0.35, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right

Step-by-step explanation:

Answer:

is this a multiple choice question? if so can you retype it out to show the separate answer choices because im having trouble reading your question.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Took the test and got it right.

The amount that the credit union will finance is $24169.60

We have given that the cost of the car is $22,346. 16

and the credit union required 10% down payment

and sale tax=7.6%

The license and title charges are $125. 13.

We have to determine that the  amount that the credit union will

finance Now  we have sale tax 7.6% for $22,346. 16

Therefore, we get

[tex]\frac{7.6}{100} \times 22,346. 16=1698.31[/tex]

credit union finance=cost of car+sales tax+the license and title  charges.

[tex]=22346.16+1698.31+12.13\\=24169.60[/tex]

Therefore, the amount that the credit union will finance is $24169.60

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Answer:

46 are left handed

Step-by-step explanation:

divide 10 by 85 and you get 0.11764705882352941176470588235294 then multiply that by 391 and you get 46

The area of waffle in the cone is the amount of space covered by the waffle

The cone has 5630 square millimeter of waffle

The surface area of a cone is calculated using:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

For the complete 72 mm tall cone, we have:

Height (h) = 72 mm

Radius (r) = 42 mm/2 = 21 mm

So, the surface area is:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

A = 3.142 * 21 * (21+[tex]\sqrt{[/tex](72^2 + 21^2))

Evaluate

A = 3.142 * 21 * (21+75)

A = 6334.272

When the cone is cut at the top, we have:

Height (h) = 24 mm

Radius (r) = 14 mm/2 = 7 mm

So, the surface area is:

A = πr * (r+[tex]\sqrt{[/tex](h^2 + r^2))

A = 3.142 * 7 * (7+[tex]\sqrt{[/tex](24^2 + 7^2))

Evaluate

A = 3.142 * 7 * (7 + 25)

A = 703.808

Calculate the difference (d) between the areas

d = 6334.272 - 2.5*703.808

Evaluate

d = 5630.464

Approximate

d = 5630

Hence, the cone has 5630 square millimeter of waffle

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By using what we know about octagons, we will see that:

For an octagon of side length S, the area is:

A = 2*(1 + √2)*S^2

In this case, the area of the smaller octagon is:

19.28 in^2 =  2*(1 + √2)*S^2

Solving for S we get:

S = √( 19.28 in^2/(2*(1 + √2))) = 2.03 in

If we apply an enlargement of a factor 3.5, the new side length is:

S' = 3.5*2.03 in = 7.11 in

Then the area of the larger octagon is:

A' = 2*(1 + √2)*(7.11 in)^2 = 244.89 in^2

b) For an octagon of side length S, the radius is:

R = S*√(1 + 1/√2)

Then the radius of the larger octagon is:

R' = (7.11 in)*√(1 + 1/√2) = 9.29 in

Then the diameter of the box must be:

D = 2*R' = 2*9.29 in = 18.58 in

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