1. Solve the compound inequality. You do not need to graph the solution.

Triangle is missing, so i have attached it.

Answer:

Radius = 10.82

Step-by-step explanation:

From the image attached, the triangle is obviously a right angle triangle and therefore, the missing side (AB) which is the radius can be found via pythagoras theorem.

We are given;

AC = 21

BC = 18

Thus;

|AC|² = |AB|² + |BC|²

21² = |AB|² + 18²

|AB|² = 441 - 324

AB = √117

AB = 10.82

Answer: The answer is 10.8    mathxl/pearson2022

Answer:

(-4,2)

Step-by-step explanation:

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The point is located 4 units to the left of the origin and 2 units below the

x-axis.

4 units to the left of the origin.

This means,

x = -4

2 units below the x-axis.

This means,

y = -2

The coordinate in the form of ordered pair is (-4, -2).

Thus,

The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ5

The angle 4 and 120 degrees angles are alternate angles. Therefore, ∠4 = 120 degrees.

Alternate interior angles are the angles formed when a transversal intersects two parallel lines.

Alternate interior angles are the angles formed on the opposite sides of the transversal.

Alternate interior angles are congruent.

Therefore,

∠4 is an alternate interior angle to angle 120 degrees.

Therefore,

∠4 = 120 degrees.

learn more on alternate interior angles here: brainly.com/question/14693114

#SPJ1

Answer:

x = 20

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

x/35 = 24/42

x = (35 * 24)/42

x = 20

Answer:

the answer is 1/5 because y/x gives you k

Step-by-step explanation:

Answer:

20 days?

Step-by-step explanation:

3 times a day is 15 and 300 ÷ 15 = 20

Answer:

[tex](x+6)(x+10)[/tex]

Step-by-step explanation:

Break the expression into groups, [tex]=(x2+6x)+(10x+60)[/tex]

Factor out x from [tex]x2+6x: x(x+6)[/tex]

Factor out 10 from [tex]10x+60: 10(x+6)[/tex]

[tex]=x(x+6)+10(x+6)[/tex]

Answer:

60ft

Step-by-step explanation:

I am here to help the people. You will never hear from me again, but know this, I will always be there to help strangers on the internet. Have a blessed life, you got this.

X = 60ft

Answer:

Step-by-step explanation:

a line perpendicular to the give formula has a reciprocal slope and it's sign is changed also.

then m = -1/3 for our perpendicular line

y - 1 = -1/3(x -6)

y -1 = -1/3x + 2

y = -1/3x +3

there you go  :)

Answer:

In exponential form, the correct answer is [tex]3^{13}[/tex].

Step-by-step explanation:

When you're multiplying exponents with the same base together, you keep the base the same and add the powers of the two exponents together. In this case, [tex]3^{9} * 3^{4} = 3^{9+4} = 3^{13}[/tex].

Answer:

i think it would be less than

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

There are 12 numbers in total. There is a 2 on each cube so there are two possible chance. 2/12=1/6 2/2=1 and 12/2=6 therefore 2/12=1/6

The solution is,  the probability that the result will have at least one two in it is, 1/6.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

Two six-sided number cubes are rolled at the same time.

so, we get,

There are 12 numbers in total.

There is a 2 on each cube so there are two possible chance.

2/12=1/6

2/2=1

and 12/2=6

now, we have,

therefore 2/12=1/6.

Hence, The solution is,  the probability that the result will have at least one two in it is, 1/6.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

Answer:

C

Step-by-step explanation:

This is the only option where every x-value only goes to one y-value, which is what has to happen in order for it to be a function.

Answer:

8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

SO right off the bat it cannot be c, for they do definatly change.

Next, lets find out how much they change by.

The median would now be 120. Since adding 1 more number would make it just 120. Instead of it being 120+130/2.

This is a decrease of 5. Because we can just subtract normal number by new number: 125-120=5.

Now, the mean is already 500/4. This equals 125.

So lets add 0 to that. So now we must divide it by 1 more number, 4+1=5.

That is 500/5. This equals 100.

This is a decrease of 25. Because we can again subtrasct the normal number by the new number: 125-100=25

That is 5x more of a decrease than the mean.

SO it must be A, since the mean decreased more than the median.

Answer:

I would be in vampire diaries world bc why not

Answer:

I would go to a dream reality where I could hop into any book, or fanfiction of my choosing, and actually talk and communicate with the characters, with all the characters knowing I was always there, just didn't talk to me much, and if the people there have powers, I can choose mine.

Step-by-step explanation:

Answer:

[tex]x=\dfrac{\sqrt6 \sqrt 2}{2}[/tex]

Step-by-step explanation:

We need to find the value of x.

Here, Hypotenuse = √6

Perpendicular = x

We know that,

[tex]\sin\theta=\dfrac{P}{H}[/tex]

So,

[tex]\sin(45)=\dfrac{x}{\sqrt6}\\\\x=\sin(45)\times \sqrt{6} \\\\x=\dfrac{\sqrt{6}}{\sqrt{2} }\\\\x=\dfrac{\sqrt{6}}{\sqrt{2} }\times \dfrac{\sqrt2}{\sqrt2}\\\\x=\dfrac{\sqrt6 \times \sqrt 2}{2}\\\\x=\dfrac{\sqrt6 \sqrt 2}{2}[/tex]

So, the value of x is equal to [tex]\dfrac{\sqrt6 \sqrt 2}{2}[/tex].

Answer: 5 years

Step-by-step explanation:

Given

Linda is [tex]3\ \frac{1}{3}\ yr[/tex] younger than Rose

Johan is [tex]8\ \frac{1}{3}\ yr[/tex] older than Linda

Suppose the age of Rose is [tex]x[/tex]

So, Linda's age

[tex]x-\dfrac{3\times3+1}{3}=x-\dfrac{10}{3}[/tex]

Johan's age

[tex]x-\dfrac{10}{3}+\dfrac{8\times3+1}{3}=x+\dfrac{-10+25}{3}\\\\x+\dfrac{15}{3}=x+5[/tex]

Difference between the Rose's and Johan's age is

[tex]\Rightarrow x+5-x=5\ yr[/tex]

Answer:

58°

Step-by-step explanation:

Good luck , hope it helped you :)

Answer:

58 degrees

Step-by-step explanation:

Since a straight line is 180 degrees then we can find out the two missing angles within the triangle.

180-126=54

180-112=68

54+68=122

180-122=58

m=58 degrees

Hope this helps :)

Answer: A.4

Step-by-step explanation:

Answer:   (2)

Step-by-step explanation:  y=18(0.75)  0.75 as a percent is 75%, kind of like what would happen in the graph with the mathematical term Pneumonoultramicroscopicsilicovolcanoconiosis.

Answer:

C

Step-by-step explanation:

Just did it

Answer:

B.

Step-by-step explanation:

x + 90 + 61 = 180.

The m of angle vertical to x = m  < x and the 3 angles are on the same line.

Answer:

0.1

Step-by-step explanation:

Divide 3/4 by 9 which will leave you with 0.083 repeated but if you estimate to the closest decimal that will bring you to 0.1 as your final answer.

Answer:

34.99°

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE FIQURE

Let angle( X) = angle if elevation

From trigonometry, tan(X)= opposite/ adjacent

Height of the flagpole= 21 ft , which is the opposite side

The base, adjacent side = 30 ft

If we substitute the values we have

Tan(X) = 21/30

Tan(X)= 0.7

Tan-1(0.7)=34.99°

Hence, the angle of elevation of the sun when this shadow will cast is 34.99°

Answer:

photo isn't clear, first of all u have to click clear picture