Which expression represents the difference (3b+8)−(5b−2)?



−2b+10


8b+10


−2b+6


8b+6

Answer: 35.4 feet.

Step-by-step explanation:

Given data:

Height of the roof = 24 feet

Height of the ladder = 26 foot

Solution:

c^2 = a^2 + b^2

a = 24

b = 26

c^2 = 24^2 + 26^2

c = √576 + 676

c = √1252

c = 35.4 feet

The foot of the ladder is 35.4 foot away from the top of the ladder.

Answer:

The distance between the base of the ladder and the building is 10 ft

Step-by-step explanation:

Here, we want to calculate the distance between the foot of the ladder and the building

To get this, we need to have a pictorial representation. Please check the attachment for this

From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.

Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.

Let the distance we are looking for be D

26^2 = 24^2 + D^2

D^2 = 26^2 - 24^2

D^2 = 100

D^2 = 10^2

D = 10 feet

Answer:

The answer should be B C and E!Thank me later.Don worry i took this question!Good luck!

Step-by-step explanation:

Answer:

the guy above me correct thank u

Step-by-step explanation:

The time taken by sound to reach your ear is 0.25 second.

The speed of sound at temperature of 0º C is 331.5m/s

the relation between distance , time and velocity is,

                [tex]x=v*t\\\\t=\frac{x}{v}[/tex]

Where, x is distance, v is velocity and t is time.

Given that,  [tex]x=82m,v=331.5m/s[/tex]

Substitute values in above relation.

              [tex]t=\frac{82}{331.5}=0.25second[/tex]

the time taken by sound to reach your ear is 0.25 second.

Learn more about the sound velocity here:

https://brainly.com/question/2142871

Answer:

So whats the question?

Step-by-step explanation:

Answer:

48 cm^2

Step-by-step explanation:

First find the area of each shape.

2 triangles- [bxh]x1/2

(4 times 3)(divided by 2) = 6, but there are 2 triangles so 6+6=12

Square- (l x w)

3 times 3 (You get the other three from the other side of the rectangle) =9

Left rectangle- (l x w)

3 times 4 = 12

Right rectangle- (l x w)

5 times 3 (You get the three from the side of the square) = 15

Total: 2 triangles Area + Square Area  + Left rectangle Area+ Right rectangle Area = Surface Area

12 + 9 + 12 + 15 = 48 cm^2

Hope this helps!!

Answer:

Option (C)

Step-by-step explanation:

Domain of a function is a set of x-values (input values) of the function.

Similarly, Range of a function is a set of y-values (output values).

Given set of ordered pairs is {(-2, -1), (2, 1), (1, 5), (-2, 4)}.

Domain → {-2, 2, 1, -2}

Range → {-1, 1, 4, 5}

Option C will be the correct option.

Answer:

142

Step-by-step explanation:

<38 and <6 are vertical angles so they both measure 38

<6 and <5 are same side interior angles so they add up to 180

knowing this, you can simply subtract 38 from 180 to find <5

180 - 38 = 142

Answer:

Step-by-step explanation:

Given

Volume of cylinder =36π

Radius of cylinder=3cm

Volume of cylinder=πr^2h

πr^2h=36π

r^2h=36. ( π cancel from both side)

3×3×h=36

h=36/9

h=4cm

Answer:

h=4cm

Step-by-step explanation:

Answer:

If only one vertical line intersects the graph at exactly one point, the graph represents a function.

Answer:

$58.33

Step-by-step explanation:

Set up a proportion where x is the amount she makes for 7 hours:

[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]

Cross multiply and solve for x:

3x = 175

x = 58.33

So, after working for 7 hours, she will make $58.33

Answer:

About 60-65$

Step-by-step explanation:

Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3

Answer:

The y-intercept moves 13 spaces lower

Step-by-step explanation:

Answer:

The y-intercept moves 13 spaces lower

Step-by-step explanation:

Answer:

14:8

Step-by-step explanation:

Answer:

22.1

Step-by-step explanation:

divide 16.9 by 13= 1.3

17x1.3=22.1

Answer:

Step-by-step explanation:

Step one:

given data

principal= $450

rate= 7.5%= 0.075

time = 3 years.

Step two:

the simple interest formula is

A=P(1+rt)

Substituting we have

A=450(1+0.075*3)

A=450(1+0.225)

A=450(1.225)

A=551.25

The answer is $551.25

Answer:

Given AD = 7 and DB = 12, to find AB you need to add them

AB = 12+7

AB = 19

The measure of the line segment AB is 19 units.

Suppose we've two endpoints of a line segment as:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}andy = \dfrac{q+n}{2}[/tex]

We are given that;

AD = 7, and DB = 12

Now,

To find the measure of the line segment AB, we need to use the segment addition postulate. The segment addition postulate states that if a point is between two other points on a line segment, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.

In this problem, D is between A and B, so we can apply the segment addition postulate and write:

AD + DB = AB

Substituting the given values of AD and DB, we get:

7 + 12 = AB

Simplifying, we get:

19 = AB

Therefore, by the given point the answer will be 19 units.

Learn more about mid point here;

https://brainly.com/question/5127660

#SPJ2

Answer:

I think 32

I'm not sure

Answer:

s = 54/31

r= -156/31

t= -17/31

Step-by-step explanation:

Answer:

In 2  2/15 hours, the prices will be same

Step-by-step explanation:

I hope this helps :)

Answer:  The characteristics of an annual percentage rate are that it can change over time for certain kinds of loans; it is the interest charged each year for a loan; and it can be reduced to reflect the borrower’s credit history.

Step-by-step explanation:

Answer:

Subtract [tex]7x[/tex]from both sides of the equation.

Step-by-step explanation:

According to the following equation, The first step you would take is to subtract [tex]7x[/tex] from both sides of the equation.

Answer:

24% is the answer

Step-by-step explanation:

Similar triangles may or may not be congruent.

Question 1 to 6:

Triangles XYZ and NPQ are similar triangles.

This means that:

Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles

Question 7 to 12:

Triangles LMN and CBA are similar triangles.

This means that:

[tex]\mathbf{7z+6 = 5y}[/tex]

[tex]\mathbf{2y-12 = z + 12}[/tex]

Collect like terms

[tex]\mathbf{2y= z + 12+12}[/tex]

[tex]\mathbf{2y= z + 24}[/tex]

Make z the subject

[tex]\mathbf{z = 2y -24}[/tex]

Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]

[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]

[tex]\mathbf{14y -168 + 6 = 5y}[/tex]

[tex]\mathbf{14y -162 = 5y}[/tex]

Collect like terms

[tex]\mathbf{14y -5y = 162}[/tex]

[tex]\mathbf{9y = 162}[/tex]

Divide both sides by 9

[tex]\mathbf{y = 18}[/tex]

Recall that: [tex]\mathbf{z = 2y -24}[/tex]

[tex]\mathbf{z = 2 \times 18 - 24}[/tex]

[tex]\mathbf{z = 12}[/tex]

[tex]\mathbf{L = 60}[/tex]

[tex]\mathbf{LN = 2y - 12}[/tex]

[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]

[tex]\mathbf{LN = 24}[/tex]

[tex]\mathbf{C = L}[/tex]

[tex]\mathbf{C = 60}[/tex]

[tex]\mathbf{AC = LN}[/tex]

[tex]\mathbf{AC = 24}[/tex]

Question 13:

The congruent parts are: KL and RQ,  KJ and RS, QS and LJ

Read more about congruent and similar triangles at:

https://brainly.com/question/19589236

Answer:

<2 is 45°

Step-by-step explanation:

180° - 135° = 45° (<6){Sum of Angles on a straight line}

<6=<3=45°{ Alternate angles}

<3=<2=45°{vertically opposite angles are equal}

Answer:

none

Step-by-step explanation:

If (x + h) is a factor of f(x) then f(- h) = 0

Given

f(x) = [tex]x^{4}[/tex] + x³ - x² + x - 1

If (x + 1) is a factor then f(- 1) = 0

f(- 1) = [tex](-1)^{4}[/tex] + (- 1)³ - (- 1)² + (- 1) - 1 = 1 - 1 - 1 - 1 - 1 = - 3 ≠ 0

Thus (x + 1) is not a factor

If (x - 1) is a factor then f(1) = 0

f(1) = [tex]1^{4}[/tex] + 1³ - 1² + 1 - 1 = 1 + 1 - 1 + 1 - 1 = 1 ≠ 0

Thus (x - 1) is not a factor

Answer:

it's the number that u end up with at the bottomof the division process. hope this helps...

Step-by-step explanation:

Answer:

[tex] {2x}^{2} + 3x - 11 + \frac{19x + 23}{ {x}^{2} + 2x + 2} [/tex]

Also, the term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.