A 15 foot ladder leans against the side of a house. The bottom of the ladder is 6 feet away from the side of the house. Find , the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.

Answer:

[tex]x \ge -2[/tex]

Step-by-step explanation:

The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.

[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].

But in the function f(g(x)), the input to  f  is g(x) = x + 5, so x + 5 must be greater than or equal to 3.

[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]

Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function.  See if it helps to call the domain of g by the name x, and the domain of f by some other name.

[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]

The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]

Answer:

-17.00 dollars.

Step-by-step explanation:

Answer:

D

Step-by-step explanation

Keep in mind that her balance is already -$2.00

If she deposit or withdrawal any money for three days, she will be charged $15 (5 x 3 = 15). So the answer would be -$17.00 (D) because you add -$15 and -$2 (her original balance).

Answer:

D

Step-by-step explanation:

The measures of its acute angles are 46.97 and 43.03degrees

A triangle is a 2-D shape that has 3 sides and angles

For the right triangle:

It states that the square of the longest side is equal to the sum of the square of the other two sides.

The hypotenuse is expressed as:

h² =14² + 15²

h = √196 + 225

h = 20.52

Get the acute angles

Sin theta = opp/hyp

Sin theta = 15/20.52

Sin theta = 46.97 degrees

The other acute angle will be  90 - 46. 97 = 43.03

Hence the measures of its acute angles are 46.97 and 43.03degrees

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Answer:

116.7

Step-by-step explanation:

Given: p = 6, r = 7

Plug in 6 for p, and 7 for r in the given expression:

9.3p + 8.7

9.3(6) + 8.7(7)

Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.

First, multiply:

9.3 * 6 = 55.8

8.7 * 7 = 60.9

Next, add:

55.8 + 60.9 = 116.7

116.7 is your answer.

~

Answer:

9.3p + 8.7r when p=6 and r=7 .

substituting value

9.3*6+8.7*7

55.8+60.9

116.70is a required answer.

Answer:

(b) 68

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Diagonal:

Diagonals are a line between opposite points in a square.

In this question, it is between A(0,3) and B(5,0), and between (0,0) and (5,3). Both these diagonals have the same measure, and are the distance between these points. So

[tex]D = \sqrt{(5-0)^2+(3-0)^2} = \sqrt{5^2 + 3^2} = \sqrt{34}[/tex]

Then sum of the squares of its both diagonals is units

Both diagonals measure [tex]\sqrt{34}[/tex]. Sum of squares is:

[tex](\sqrt{34})^2 + (\sqrt{34})^2 = 34 + 34 = 68[/tex]

The correct answer is given by option b.

Answer:

9√6

Step-by-step explanation:

4√6+5√6

=(4+5)√6

=9√6

Answer:

The test statistic is [tex]z = 1.25[/tex]

Step-by-step explanation:

We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.

At the null hypothesis, we test if the proportion is 80%, that is:

[tex]H_0: p = 0.8[/tex]

At the alternate hypothesis, we test if the proportion is more than 80%, that is:

[tex]H_a: p > 0.8[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

80% is tested at the null hypothesis:

This means that [tex]\mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]

A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.

This means that [tex]n = 100, X = \frac{85}{100} = 0.85[/tex]

The test statistic is

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}[/tex]

[tex]z = 1.25[/tex]

The test statistic is [tex]z = 1.25[/tex]

Answer:

1. A square root

2. one distinct endpoint

3. The square root of

on edg

have a nice day! :)

Step-by-step explanation:

1. The function graphed to the left is function. A square root

2.  The curve has and continues infinitely in one direction.

one distinct endpoint

3.  Each y-value is each corresponding x-value. the square root of

The principal square root function. (usually just referred to as the "square root function") is a function that maps the set of nonnegative real numbers onto itself.

1. A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions.

The graph shown is known as the graph for square root functions.

2. The curve has one distinct end point and continues infinitely in one direction.

3. The square root of each corresponding x-value.

   Each value of y is the corresponding square root of x- values.

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Answer:

H=5

Step-by-step explanation:

12-6H=-18

-6H=-30

H=-30/-6

H=5

Answer:

Let's Draw a Picture!

10 x 16 = 160, 160 x 2 = 320

22 x 10 = 220, 220 x 2 = 440

16 x 22 = 352, 352 x 2 = 704

Let's add all the given areas:

704 + 320 + 440 = 1464, A is your answer

I dont know about 6 or 5.

Answer:

14 is D but I don't 15 question answer

Answer:

240 units²

Step-by-step explanation:

Rectangle = 20x10=200

2 triangles = 2x1/2x4x10=40

200+40=240

Answer:

v = 1.6

Step-by-step explanation:

Divide 11.2 by 7 to get your answer for v which is 1.6.

Answer:

Hello! answer: v = 1.6

Step-by-step explanation:

What it is asking is what multiplied by 7 = 11.2 so all we have to do is 11.2 ÷ 7 to get that!! so...

11.2 ÷ 7 = 1.6 and we can always check are work to make sure we are correct so...

7 × 1.6 = 11.2 So v does = 1.6 Hope that helps!

Answer:

Step-by-step explanation:

5 and 4 are the numbers

5+4=9

5-4=1

Answer:

1) P=49

A=187

2)P=59

A=221

3)P=32

A=96

4)P=132

A=660

5)P=42

A=130

6)P=34

A=24

Step-by-step explanation:

area of a triangle is bh/2

perimeter is s1+s2+hypotenuse (add all sides)

side note: number 6, i don't know if that is right. It makes no sense.

side note: I don't know if you wanted perimeter and area for all triangles included triangles inside triangles or just the big triangles so... If I got it wrong sorry. I just did perimeter and angle for the big triangles.

Answer:

Step-by-step explanation:it’s c

Answer: See explanation

Step-by-step explanation:

M1 49

M2 22

M3 27

M4 63

M5 68

M6 22

Answer:

It's easy.

Step-by-step explanation:

The square root of something is just the reverse of some squared.

For example, if you do 3 to the power of 2 (3^2) you get 9. now if you reverse that you would do square root. [tex]\sqrt{9}[/tex] would be 3. Think of it like multiplication and division. If you do 10*5 you get 50. All you have to do is reverse it after that  50/5 = 10. See.

The only difference it square(2) root and squared(2) are only with the number 2. Meaning you can't do 3 to the power of 3 (3^3) and expect to square root it to get the reverse. For example, 3 to the power of 3 (3^3) is 27. But the square root of 27 is NOT 3, it is 5.2

You get it?

Answer:

B. Frequency

Step-by-step explanation:

I calculated it logically

Answer:

12 days

Step-by-step explanation:

720-240=480

480÷8= 60

1 day= 60 chairs

? days= 70 chairs

12 days = 720 chairs

hope this helps

Answer:

x = 8

Step-by-step explanation:

add all side lengths to find the perimeter

5x + 6x + 5 + 6x +3 = 144 add like terms

17x + 8 = 144 subtract 8 from both sides

17x = 136 divide both sides by 17

x = 8 to find the side lenghts replace x with 8 in each expression

Step-by-step explanation:

3. The triangle that makes up the square is a 45-90-45 triangle so x = 45°. Using Pythagorean theorem,

2y^2 = 12 ---> y^2 = 6

or

y = √6

4.This is an equilateral triangle of side 11 so

y = 11/2

To find x, use the definition of sine 60:

sin 60° = opp/hyp

= x/11

or

x = 11sin60° = (11√3)/2

Answer:

2(1)²−1= 1

2(2)²−1= 7

2(3)²−1= 17

2(4)²−1= 31

2(5)²−1= 49

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

Its an Isosceles triangle. The two bases are equal

So

x= 180-(62+62)

x=56°.

Answer:

x = 56

Step-by-step explanation:

As you can see two angles are congruent, as the two tally marks suggest so. Therefore not only does the left angle measure 62 but also the right angle does as well. Therefore, further indicating that we are dealing with an isosceles triangle in this scenario. So you would come up with the equation 62(2) + x = 180 because all the angles together add up to get you 180 degrees. So once you say 62 times 2 to get 124 you would subtract that by 180; giving you 56 degrees for x.

Answer:

Step-by-step explanation:

[tex]P=\frac{6}{8} \times\frac{5}{7} \times\frac{4}{6} \times\frac{3}{5} =\frac{3}{14}[/tex]

Step-by-step explanation:

the probability of the 4 batterys work was %30 because if you take randomly 4 battery you take good and bad batterys and the most probability is the 4 batterys don't work or the 4 batterys work or like 1 or 2 batterys work thats why like %30 the batterys work

Answer:

A and B

[tex] {x}^{2} + 3x - 3 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 3± \sqrt{21} }{2} [/tex]