A firefighter sees a woman trapped in a building 15 feet up from the bottom floor. The firetruck is parked 35 feet away from the bottom of the building. At what angle of elevation, to the nearest degree, should the firefighter extend the ladder to reach the woman?

Answer:

2245

Step-by-step explanation:

2282-37=2245

2245 students are girls

Answer:

1304

Step-by-step explanation:

3/7 of students are boys

total students= 2282

girls are 1-3/7= 4/7 of all students

girls= 2282*4/7= 1304

Answer:

D

Step-by-step explanation:

D is the only answer with the correct distance formula format and the correct numbers inside the parentheses

Answer:

[tex]\text{As } x \to \infty, y \to \infty,$and as x \to -\infty, y \to \infty[/tex]

Step-by-step explanation:

Given the polynomial function: [tex]h(x)=-x^3+x^4-2x+1[/tex]

To examine its end behavior, we create a table of values that we can then examine.

[tex]\left|\begin{array}{c|c}x&h(x)\\--&--\\-4&329\\-3&115\\-2&29\\-1&5\\0&1\\1&-1\\2&5\\3&49\\4&185\end{array}\right|[/tex]

From the table, we see a repeating pattern of positive values of h(x) with h(1)=-1 being an axis of symmetry.

Therefore, as:

[tex]x \to \infty, h(x) \to \infty\\x \to -\infty, h(x) \to \infty[/tex]

Answer: 8 times

Step-by-step explanation:

Youre essentially doing 3 divided by 3/8.

3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3.

[tex]\frac{3}{1} *\frac{8}{3} = \frac{24}{3} = 8[/tex]

There are eight (8) 3/8’s are in 3

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Answer:

5 hours and 50mins

Step-by-step explanation:

8:35 am + 25mins= 9:00am 9:00am+5hours=3:00pm+25mins=3:12pm 25mins+5hours+25mins=5hours and 50 mins

Hope this helps :)

Answer:

54

Step-by-step explanation:

since n = 3

= -2n ( 5n+n-8-3n)

= -2 (3) ( 5+(3)-8-3(3) )

= -6 (5+3-8-9)

= -6 (5-5-9)

= -6 (-9)

= 54.

Answer:

85.4054%

Step-by-step explanation:

3.16/3.7 × 100

Divide.

0.854054 × 100

Multiply.

= 85.4054

Answer:

X = 2

Step-by-step explanation:

Since two triangles ΔACD and ΔABE are similar triangles, their corresponding sides will be proportional.

Therefore, [tex]\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}[/tex]

By substituting the measures of the sides in the expression,

[tex]\frac{(x+10)}{10}=\frac{(15+3)}{15}[/tex]

15(x + 10) = 180

x + 10 = 12

x = 12 - 10

x = 2

Therefore, for the given similar triangles value of x = 2

Answer: y = 6

Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.

Answer:

a = 1.5

b = 1.75

Step-by-step explanation:

First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:

[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]

Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.

It means that we have two equations:

[tex]3x=2ax\\4=a^2+b[/tex]

So, using the first equation and solving for a, we get:

[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]

Finally, replacing the value of a in the second equation and solving for b, we get:

[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]

Answer:

the volume of the prism is VOLUME=BASE*HEIGHT

Step-by-step explanation:

SO it's ,

13*7=91ft

Answer:

591.5 ft^3

Step-by-step explanation:

Answer:

Here is the answer ...... Check out it

Step-by-step explanation:

An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.

Hope it helps ☺️ CLICK on ♥️

Answer:

(3+2m)(3-2m)

Step-by-step explanation:

(3+2m)(3-2m)

Answer: Yes, there is a relationship. As time increases, texting speed decreases.

Step-by-step explanation:

that is for the people looking for the correct answer.

The correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.

Although the points plotted on the graph are completely scattered. There exists a basic relationship between the points, as time increases, texting speed decreases, moving from the left side of the graph to the right side of the graph. Hence, the correct option is B, Yes, there is a relationship. As time increases, texting speed decreases.

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Answer:

27 smoothies

Step-by-step explanation:

if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)

Answer:

2.75

Step-by-step explanation:

3/4 is .75 in decimal

Answer:

Let the first equation be x + y = 10

x = 10 -y

2nd equation will be 1x + 1.2y = 11

Substituting in 2nd equation

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

.2y = 1

y = 5

If y = 5, x = 5: coz x + y = 10

She have buy 5 stamps of each $1 stamps and  5 stamps of each $1.20 stamps.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

Let the first equation be;  

x + y = 10

x = 10 -y

2nd equation will be,

1x + 1.2y = 11

Substituting in 2nd equation;

(10 - y) + 1.2y = 11

10 - y + 1.2y = 11

0.2y = 1

y = 5

If y = 5, x = 5:

x + y = 10

Hence, She have buy 5 stamps of each $1 stamps and  5 stamps of

each $1.20 stamps.

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Answer:

4320 square inches

Step-by-step explanation:

Area of a rectangle is base times height. You need to convert 3 yards to inches in order to multiply for the area. Since 1 yard is equal to 36 inches, 4 yards is 4*36 = 144 inches. Now you multiply 30 * 144 to get 4320, which is your answer.

m<JKL=45°

Please see the attached picture for full solution

hope it helps..

Good luck on your assignment...

Answer:45°

Step-by-step explanation:

Answer:

Step-by-step explanation:

You need the value of one of angles. If height angle is 90°, then you have 2 90° angles. So you have 2 triangles SAS.

I hope I've helped you.

Answer:

i think 9.8 but im not sure

Step-by-step explanation:

The distance between points M and N is; 9.8 meters.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

From observation, it is given that the line segment MN which joins points M and N is parallel to the line JK. which follows from the fact that M and N are midpoints of KL and JL respectively.

Hence, it states that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality:

NM/19.6 = 7.4/(2×7.4)

Solving;

NM = 19.6/2

NM=  9.8 meters.

This follows that, the ratio of corresponding sides of congruent triangles are equal.

The distance between points M and N is; 9.8 meters.

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Answer:

Her average speed is 45 mph

Step-by-step explanation:

Let the average speed be x mph

Time taken complete the journey = distance/ average speed

Time = 300/x

Now , at 9 mph less, she could have only traveled 240 miles in same time

At 9 mph less, the average speed is x-9

so the time would be 240/x-9

since the time is same as before;

300/x = 240/x-9

Divide both sides by 60

5/x = 4/x-9

Cross multiply

5(x-9) = 4(x)

5x - 45 = 4x

5x -4x = 45

x = 45 mph

Answer:

500 mg

Step-by-step explanation:

amount of dextrose in  35 ounce Pedialyte = 2500 mg

dividing LHS and RHS by 35

amount of dextrose in  35/35 ounce Pedialyte = 2500 /35 mg = 500/7 mg

Thus,

amount of dextrose in  1 ounce Pedialyte = 500 /7 mg

since we have to find amount of dextrose in  7 ounce Pedialyte

we multiply LHS and RHS by 7

Thus,

amount of dextrose in  1 *7 ounce Pedialyte = 500 /7 * 7 mg = 500 mg

amount of dextrose in  7 ounce Pedialyte = 500 mg

Thus, As child consumed 7 ounces of Pedialyte, He consumed 500 mg of dextrose.

Answer:

$9.30

Step-by-step explanation:

If you subtract 16.33 from the total of 25.63 you will have 9.3 or 9.30. (They're the same number.)

Answer:

Step-by-step explanation:

Pattern 6 will have 35

Answer:

The answer is 2.

Step-by-step explanation:

3 - 2 = 1

7 - 5 = 2

2 x 1 = 2

Answer:

From the parent graph f(x) = x², the graph moved horizontally left by 3 units and vertically down by 5 units.

The equation of the new graph is f(x) = (x + 3)² - 5

Step-by-step explanation:

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