0.003 is 1/10 of
Please help I need this for homework !!!!!!!!!!!!

Answer:

21.9 ft

Step-by-step explanation:

Answer:

Part A)

About 74.2°.

Part B)

About 21 feet.

Step-by-step explanation:

A 22 feet ladder is leaning against a building, where the base of the ladder is six feet from the base of the building.

This is shown in the diagram below (not to scale).

Part A)

We want to determine the angle of elevation of the ladder. That is, we want to find the value of θ.

Since we know the values adjacent to θ and the hypotenuse, we can use the cosine ratio. Recall that:

[tex]\displaystyle \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent is 6 and the hypotenuse is 22. Thus:

[tex]\displaystyle \cos \theta = \frac{6}{22} = \frac{3}{11}[/tex]

Take the inverse cosine of both sides:

[tex]\displaystyle \theta = \cos^{-1}\frac{3}{11}[/tex]

Use a calculator. Hence:

[tex]\displaystyle \theta = 74.1733...\approx 74.2^\circ[/tex]

The angle of elevation is approximately 74.2°

Part B)

We want to find how high up the ladder reaches on the building. In other words, we want to find x.

Since x is opposite to θ and we know the adjacent side, we can use the tangent ratio. Recall that:

[tex]\displaystyle \tan \theta = \frac{\text{opposite}}{\text{adjacent}}[/tex]

The opposite side is x and the adjacent side is 6. The angle θ is cos⁻¹(3/11) (we use the exact form to prevent rounding errors). Thus:

[tex]\displaystyle \tan \left(\cos^{-1}\frac{3}{11}\right) = \frac{x}{6}[/tex]

Solve for x:

[tex]\displaystyle x = 6 \tan \left(\cos^{-1}\frac{3}{11}\right)[/tex]

Use a calculator. Hence:

[tex]x = 21.1660... \approx 21\text{ feet}[/tex]

The ladder reaches about 21 feet up the building.

Answer:

Option B, x ≈ -2.25

Step-by-step explanation:

3^x-2=(x-1)/(x^2+x-1)

or x ≈ -2.21166

so it's closest to the answer of the 2nd option

Answer:

401 more people per square mile

Step-by-step explanation:

Find how many people there are per square mile in both cities by dividing the number of people by the number of square miles:

672,800/142.9

= 4708 people per square mile (Detroit)

195,100/45.3

= 4307 (Grand Rapids)

Find how many more people per square mile live in Detroit by finding the difference between these two numbers:

4708 - 4307

= 401

So, there are 401 more people per square mile living in Detroit versus Grand Rapids.

Answer:

the answer=28.27cm

using formula

c=2πr

d=2r

solving for c

C=πd

=π.9

=28.27

hope it help you

Answer:

How many siblings do you have?

I hope this helps you out :)

Answer:

-14 and 4

Step-by-step explanation:

To find the values subtract 9 from -5, as well as add 9 to -5

-5-9= -14

-5+9= 4

Answer:

33.33 percent

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Make a proportion

part/whole = part/whole

1.3/x=10/100

130=10x

x=13

I know tje answer

x+6kkkkkkkk

Answer:

X=75°;AND Y=30°

Step-by-step explanation:

Angle( x+75°)+(y)=180°

Angle(2x)+(y)=180°

[by subtracting both the equation we get;]

-1x=-75

x=75°

Now,value of y;

2x+y=180

2×75+y=180

150+y=180

y=180-150

y=30°

Answer: (7, 20)

Concept:

There are three general ways to solve systems of equations:

Since the question has specific requirements, we are going to use substitution to solve the equations.

Solve:

Given equations

y = 3x - 1

2x + 6 = y

Substitute the y value since both equations has isolated [y]

2x + 6 = 3x - 1

Add 1 on both sides

2x + 6 + 1 = 3x - 1 + 1

2x + 7 = 3x

Subtract 2x on both sides

2x + 7 - 2x = 3x - 2x

[tex]\boxed{x=7}[/tex]

Find the value of y

y = 3x - 1

y = 3(7) - 1

y = 21 - 1

[tex]\boxed{y=20}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

30x²y

Step-by-step explanation:

2x × 3xy × 5

= 2 × 3 × 5 × x × xy

= 30x²y

Answer:

No, they aren't perpendicular

Step-by-step explanation:

Two lines are perpendicular if the product of their slope is - 1. The slope of line AB=(-1-10)/(0-(-1))=-11 and the slope of the line AC=(2-10)/(-3-(-1))=4. Since the product of their slope isn't - 1. They aren't perpendicular.

Answer:

5/9

Step-by-step explanation:

In short, the absolute value of a number turns that number into a positive value no matter what. Here is a small representation:

Negative -> Positive

Positive -> Positive

Since we are working with a negative value, it will turn positive.

Best of Luck!

Answer:

203/169  -183i/169

"A"

Step-by-step explanation:

[tex]\frac{9-19i}{12-5i}[/tex]

[tex]\frac{9-19i}{12-5i}[/tex]  * [tex]\frac{12+5i}{12+5i}[/tex]

12^2 - (5i)^2 = 144 + 25 = 169

FOIL: 108 +45i - 228i + 95

203 -183

Answer:

[tex]\displaystyle x \approx 30.8[/tex]

Step-by-step explanation:

Note that the figure is a right triangle, and that we are given the length of the side adjacent to x and the hypotenuse of the triangle.

Therefore, we can use the cosine ratio. Recall that:

[tex]\displaystyle \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is 8.5 and the hypotenuse is 9.9. Therefore:

[tex]\displaystyle \cos x = \frac{8.5}{9.9}[/tex]

We can take the inverse cosine of both sides:

[tex]\displaystyle x = \cos^{-1} \frac{8.5}{9.9}[/tex]

Use a calculator. Hence:

[tex]\displaystyle x \approx 30.8[/tex]

Answer:

7 in

Step-by-step explanation:

perimeter = 2length + 2width

Input the given info:

24 = 2length + 2(5)

24 = 2L + 10

14 = 2L

14/2 = L

l = 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

surface area = perimeter of base x slant height all of it divided by 2 and then add area of base

pb = 4(6)=24 x 9.5 = 228 /2 = 114 + 36 = 150

hope that answers your question :)

Answer:

what is that corency

Step-by-step explanation:

Answer:

The state can issue 456,976,000 license plates.

Step-by-step explanation:

For digits, it is assumed that we can use 0-9. Thus, there are 10 options for each slot with a digit.

For letters, it is assumed that we can use the 26 letters of the alphabet (i.e. A through Z). Thus, there are 26 options for each slot with a letter.

For this particular problem, the slot method can be used. Assuming that repetition of letters/digits is allowed:

[tex]\frac{10}[/tex] [tex]\frac{26}[/tex] [tex]\frac{26}[/tex] [tex]\frac{26}[/tex] [tex]\frac{26}[/tex] [tex]\frac{10}[/tex] [tex]\frac{10}[/tex]

= 10*26*26*26*26*10*10

=456,976,000.

Therefore, the state can issue 456,976,000 license plates.

[tex]\\ \sf\longmapsto 5\sqrt{6}\times 5\sqrt{6}[/tex]

[tex]\\ \sf\longmapsto (5\sqrt{6})^2[/tex]

[tex]\\ \sf\longmapsto 25\times 6[/tex]

[tex]\\ \sf\longmapsto 150[/tex]

But,

[tex]\\ \sf\longmapsto \sqrt{36}=6[/tex]

So

[tex]\\ \sf\longmapsto 5\sqrt{6}\times 5\sqrt{6}[/tex]

[tex]\\ \sf\longmapsto 5\sqrt{6\times 6}[/tex]

[tex]\\ \sf\longmapsto 5\sqrt{36}\checkmark[/tex]

Step-by-step explanation:

........... ................

Answer:

i) pi×4500 cm³

ii) pi×600 cm²

iii) 14 liters

Step-by-step explanation:

in general : the diameter is 30 cm, the radius is half of that (15 cm)

i)

the volume of a cylinder is base area times height.

Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³

ii)

similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.

surface area of the cylinder mantle is

Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²

iii)

for this we need now to do the multiplication with pi and then convert the cm³ to liters.

1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³

pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters

Answer:

1.09c

Step-by-step explanation:

The clothes cost c before tax.

The tax is 9% of the price of the clothes, or 9% of c.

To find a percent of a number, change the percent to a decimal and multiply by the number.

9% as a decimal is 0.09

9% of c = 9% * c = 0.09c

The amount of tax is 0.09c.

Now we add the amount of tax to the original price, c.

c + 0.09c = 1.09c

Answer: 1.09c

Answer:

72

Step-by-step explanation:

look at the prime factors of each number.

18 = 2*3^2

24 = 2^3*3

36 = 2^2*3^2

The most factors of 2 in any of these numbers is 3: 2^3

The most factors of 3 in any of these numbers is 2: 3^2

2^3*3^2 is 8*9 or 72.

72 is the lowest number exactly divisible by 18, 24, and 36.

Answer:

d the median if the data is 55

Answer:

[tex] {4x}^{2} (x + 1) - 6x(x + 1) \\ = (x + 1)(4 {x}^{2} - 6 x ) \\ = (x + 1)(2x)(2x - 3)[/tex]

explanation:

first choose the common factor by observation, it is (x + 1):

factorise it out:

= (x + 1)(4x² - 6x)

by observation in (4x² - 6x), common factor is 2x.

Factorise 2x out:

= (x + 1)[2x(2x - 3)]

Answer:

(4x2-6x) (x+1)

now common factor is (x+1) ,so,(4x2-6x) (x+1)

Answer:

A 6 Packages of buns and 5 packages of wieners.

Step-by-step explanation:

Because if you multiply 6x10 you get 60 and if you multiply 5x12 you get 60 exactly 1 wieners per bun

Answer:

139°

Step-by-step explanation:

8x+51+6x-25=180

14x+26=180

14x=180-26

14x=154

x=154/14

x=11

<AOB= 8x+51 = 8(11)+51 = 88+51 = 139

Answer:

stop spamming

Step-by-step explanation: