A firefighter is standing 33 feet away from a 45 foot tall building. The firefighter looks up and sees that a cat that is stuck on the top of the building and also notices a dog in a second flooor window that is 15 feet above ground. What is the angle of elevation of the cat?

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

Answer:

x=66°

Step-by-step explanation:

Solve for x:

If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:

∠1+∠2=180°

Substitute known values:

[tex]x+114=180[/tex]

Subtract 114 from both sides to isolate x:

[tex]x+114-114=180-114\\\\x=66[/tex]

The value of x is 66°.

:Done

Answer:

C. It is a whole number that is neither prime nor composite.

Step-by-step explanation:

A prime number is a number that has two factors: one and another number. Thus, since 1 only has one factor (itself), it cannot be a prime number.

However, a composite number must have more than two factors, which 1 doesn't have either.

Since 1 is a whole number (not a decimal or fraction), and it is neither prime nor composite, the answer would be C.

Have a nice day!

Answer:

C!

Step-by-step explanation:

hope it helped

Answer:

A. d/2 = r

B. r=65 miles/hour

Step-by-step explanation:

A. d/2 = 2r/2

B. Using the formula you found for R it is

130/2= r, therefore r = 65

The formula for r is:

r = d/2.

The rate r when the distance traveled is 130 miles is:

= 64 miles per hour.

Given,

The formula d = 2r can be used to find the distance(d) traveled after 2 hours when driving at rate r.

We need to:

- Solve the formula for r.

- Find the rate(r) when the distance traveled is 130 miles.

Speed = distance / time

We can find the distance as:

distance = speed x time

We have,

d = 2r where d = distance and r = rate.

Here 2 = 2 hours

The formula for r :

d = 2r

Divide both sides by 2.

d/2 = r

r = d/2

r = distance / 2 hours

The rate at a distance of 130 miles is:

d = 130 miles

r = d / 2

r = 130 / 2 = 65 miles / hour

Thus,

The formula for r is d/2.

The rate r when the distance traveled is 130 miles is 64 miles per hour.

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Answer:

15.45

Step-by-step explanation:

add everything together and divide by ten% and you should get 6.25 then you add 5.00, 2.10, 2.10, and 6.25 together to get 15.45

Answer:

Line ____        Ear

Answer:

The answer is "yes, it uses the  Law of Detachment as an argument".

Step-by-step explanation:

It is also the method of getting it all in the world in which we give up. It will not imply whether they give up our desire. They may not leave the desire so, we do never give up.

Answer:

Step-by-step explanation:

This is an exponential decay, because the base is fraction < 1

Answer:

2 apples = .24 kilograms

12 apples = 1.44 kilograms

Step-by-step explanation:

If 5 apples all weigh The same amount. Let x represent one apples weight

5x = 0.60

divide by 5

one apple weighs .12 kilograms

then multiply by the number of apples. So 2 apples is .24

and 12 apples is 1.44

Answer:

If the lines BC and DE are parallel, the value of c is c=-2

Step-by-step explanation:

We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints  D(c, -7) and E(5, -3).

Using slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find point c

When 2 lines are parallel there slope is same.

So, Slope of line BC =Slope of Line DE

[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have:

[tex]x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \[/tex]

Putting values and finding c

[tex]\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2[/tex]

So, If the lines BC and DE are parallel, the value of c is c=-2

Answer:

C.  x=2.5, DC=7.5, EC=15

Step-by-step explanation:

since the triangles have congruent angles, the sides have a relationship too. Basically, the ratio between the triangle is 4:10 because those sides math up. So, that also means it is 2:5. Therefore, BC:EC=6:15. 15-12.5=2.5, so x=2.5.

Now you can just do 2.5+5=7.5 so DC=7.5

Answer:

1/8

Step-by-step explanation:

Rate is the change of a quantity per unit time

We are told Sarge completed 1/10 of his report in 4/5 of an hour.

We are going to equate the rate at 4/5hour to that of 1hour to get how much of the report Sarge will complete in 1 hour

(1/10)/x=(4/5)/1

0.10/x=0.8

Make x subject of the formula we have

X=1/8

Hence 1/8 of the report needed to be completed

Answer:

D.

Step-by-step explanation:

Opposite numbers will be numbers with opposite signs

Option D shows -3 at one end and +3 at the other; their sum is 0

Answer: at end of explanation

Step-by-step explanation:

First simply operate the e's, so get common factor and (- 56 - 23)e = -24. This leaves you with -79e = -24. Then move the number multiplying e to dividing the other side, so e = -24 / -79, wich results in 0.8 period. So your result rounded to 2 decimal places is 0.89.

Answer:

0.304

Step-by-step explanation:

Step by Step Solution:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -56*e-23*e-(-24)=0  

Step by step solution :

STEP

1

:

Solving a Single Variable Equation

1.1      Solve  :    -79e+24 = 0  

Subtract  24  from both sides of the equation :  

                     -79e = -24

Multiply both sides of the equation by (-1) :  79e = 24

Divide both sides of the equation by 79:

                    e = 24/79 = 0.304

Answer:

y=8

Step-by-step explanation:

(-2,8) (3,8)

x,y. x,y

y2-y1/X2-X1=

8-(8)= 0

3-(-2)= 5

since the two points have 8 in the Y space the line would be equal to y= 8

Answer:

Slower

Step-by-step explanation:

If 100 cans per 20 minutes continues, it would be 200 cans per 40 minutes, which is more than 160 cans per 40 minutes

Answer:

27.5 units^2

Step-by-step explanation:

Total area = Area of triangle ILH + Area of parallelogram JKLI

Area of triangle ILH

= 1/2 * b * h

= 1/2 * 5 * 5

= 12.5 units^2

Area of parallelogram JKLI

= bh

= 3 * 5

= 15 units^2

Total area

= Area of triangle ILH + Area of parallelogram JKLI

= 12.5 + 15

= 27.5 units^2

Answer:

729

Step-by-step explanation:

hope it helps

Answer: 27/2 = 13 1 2\

also 729

Answer:

123.03

Step-by-step explanation:

96.53+17.5+9=

Responder:

Número de bueyes = 12

Número de vacas = 24

Explicación paso a paso:

Dado que :

Número de vacas compradas = 2 veces el número de bueyes;

Sea número de bueyes = y

Número de vacas = 2 años

Costo de la vaca = 70

Costo de bueyes = 85

Costo total = 2700

Por lo tanto;

(2 años * 70) + (y * 85) = 2700

140 años + 85 años = 2700

225 años = 2700

225 años / 225 = 2700/225

y = 12

Número de bueyes = y = 12

Número de vacas = 2y = 2 * 12 = 24

Answer:

Step-by-step explanation:

Take 125 and divide by 500 this equals 0.25 or 25%

Answer:

x=25

Step-by-step explanation:

[tex]\frac{125}{500} *\frac{x}{100}[/tex] this is just a typical percent equation

[tex]12500=500x[/tex]  cross multiply

x=25 divide by 500 to get the answer

Answer:

He has worked 4 days.

Step-by-step explanation:

240 divided by 60 is 4.

If this helped I would appreciate it if you marked me brainliest. Thank you and have a nice day!

Answer:

68

Step-by-step explanation:

the brackets make the 3 positive

Answer:

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.

Step-by-step explanation:

Answer: The simplest method is to use a calculator.

Just divide the top of the fraction by the bottom, and read off the answer. Hope this helps! If not, I’ll come up with another explanation! :)

Answer:

Step-by-step explanation:

-4√2-8

Answer:

[tex]-4\sqrt{2} -4\sqrt{4}[/tex]

Answer:

572.88

Step-by-step explanation:

Use a calculator it makes it easier  

The solution of expression 68.2 × 8.4 after multiplying is,

⇒ 572.88

Given that,

A mathmatical expression to solve,

⇒ 68.2 × 8.4

Now, simplify the number and then multiply as,

⇒ [tex]68.2 \times 8.4[/tex]

⇒ [tex](68.2 \times \dfrac{10}{10} )\times ( 8.4 \times \dfrac{10}{10} )[/tex]

After multiplication the numbers we get;

⇒ [tex]\dfrac{682}{10} \times \dfrac{84}{10}[/tex]

⇒ [tex]\dfrac{57,288}{100}[/tex]

⇒ [tex]572.88[/tex]

Therefore, the solution of expression 68.2 × 8.4 is,

⇒ 572.88

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Answer:

AB≅AC  (two legs of isosceles triangles are always equal)

6x-14 = 4x+20

2x-14 = 20

2x = 34

x = 17

Base ⇒ 7x-12

           = 7(17)-12

           = 119-12

           = 107

Answer:

x=17, 107

Step-by-step explanation:

Since it is given that the triangle is isosceles, we can make the following equation:

6x-14=4x+20

x=17

To find the base (7x-12), all you have to do is plug in the value of x

7x-12

7*12-12

107

I hope this helps :)