A 25 foot ladder leans against a house. How far
is the foot of the ladder from base of the building
if the top of the ladder is 20 feet from the ground?
A. 20 ft
B. 15 ft
C. 18 ft
D. 10 ft

Answer:

B) x = 2√2, y = 2

Step-by-step explanation:

The easiest way to solve this is to see that because one corner is 90 degrees, and the other 45, then the third one must also be 45.  This means that the two sides on the right angle are the same length, so y = 2.

With that then, you can use the Pythagorean theorem to solve for x:

[tex]x = \sqrt{2^2 + 2^2}\\x = \sqrt{4 + 4}\\x = \sqrt{8}\\x = 2\sqrt{2}[/tex]

So the correct answer is b.  x is equal to two root two, and y is equal to two.

Answer:

skewed

Step-by-step explanation:

The numerical length of DE is 11.

We have a Line Segment DG such that E and F is between D and G.

We have to determine the length of DE.

A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.

According to question, we have -

DE = 3x - 28

EF = 3x - 30

FG = x

DG = 33

Now -

DG = DE + EF + FG

33 = 3x - 28 + 3x - 30 + x

7x = 33 + 58

7x = 91

x = 13

Therefore -

DE = 3x - 28 = 3 x 13 - 28 = 39 - 28 = 11

Therefore -  DE = 11

Hence, the numerical length of DE is 11.

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Answer:

y = 1/5x - 5

Step-by-step explanation:

slope intercept form: y=mx+b

m is the slope

to find slope, do rise/run. for this graph it comes out to be 2/10, which simplifies to 1/5

b is your y-intercept, aka where the line comes in contact with the y-axis

by calculating your slope, you can then find that if you follow the 1/5 slope, but make it a negative, your line would cross the y-anix at -5

therefore your answer is: y = 1/5x - 5

hope this helped!

Answer:

22+x<=55

D

Step-by-step explanation:

Answer:

(x × y) - 6 < 30

xy - 6 < 30

xy < 30 + 6

xy < 36

Step-by-step explanation:

Let us represent:

First number = x

Second number = y

The product of two numbers decreased by six is less than 30.

The algebraic expression is given as

(x × y) - 6 < 30

xy - 6 < 30

xy < 30 + 6

xy < 36

Answer:

Step-by-step explanation:

we have a rectangle that measure 21 inches by 16 inches

to find the rectangle(which is the hypotenuse)  we will use Pythagorean theorem

c^=a^2+b^2

c^=21^2+16^2=697

c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26

Answer:

Growth rate = 4.08%

Step-by-step explanation:

Rate of interest 'i' for the growth in the cost of the house,

i = [tex](\frac{\text{Final amount}}{\text{Initial amount}})^{\frac{1}{n}}-1[/tex]

Here 'n' = Duration or time (in years)

i = [tex](\frac{560000}{320000})^{\frac{1}{14}}-1[/tex]

i = [tex](\frac{7}{4})^{\frac{1}{14}}-1[/tex]

i = 1.0408 - 1

i = 0.0408

i = 4.08%

Therefore, growth rate for this period is 4.08%.

Answer:

Step-by-step explanation:

Ok wait. Try add

Answer:

12/25

Step-by-step explanation:

Answer:

3 carrots, 4 crackers, and 6 grapes.

Step-by-step explanation:

The greatest common factor of 9, 12, and 18 is 3, so we know that we can make at most 3 identical lunchboxes. Now we have to divide each number by 3 to figure out how much of each item is in each lunchbox. 9/3=3, 12/3=4, and 18/3=6 so there will be 3 carrots, 4 crackers, and 6 grapes in each lunchbox.

Answer:

B(2.75,2.5)

Step-by-step explanation:

B(x,y)

Bx= Ax+Cx 1 + 4.5 5.5

---------- = -------------- = --------- = 2.75

2 2 2

By = Ay+Cy 1 + 4 5

---------- = ----------- = ---------- = 2.5

2 2 2

coordinates of point B(2.75,2.5)

Answer:

-14°F

Step-by-step explanation:

First, we start at 12°f. Then, the temperature changes by -26°f. This means that we add (-26°f) to what we currently have. We then have

12 + (-26)

= 12-26

= -14°F

Answer:

The value of ∠4 is 45° .

Step-by-step explanation:

Given that , ∠4 = x + 30 ° & ∠2 = 2x + 15 .We need to find the measure of ∠4 . So from the figure we can see that , ∠2 & ∠4 are corresponding angles .So they will be equal.

⇒ ∠2 = ∠4 [ Corresponding angles ]

⇒ x + 30° = 2x + 15°

⇒ 2x - x = 30° - 15°

⇒ x = 15°

Hence the value of x is 15°

⇒ ∠4 = x + 30°

⇒ ∠4 = 15° + 30°

⇒ ∠4 = 45°

Answer:

No

Step-by-step explanation:

Find the unit rates, meaning how many green umbrellas per pink umbrella? So we have 2 ratios:

1. 3:21

2. 6:36

For the first ratio, divide both sides by 3 to find how many green umbrellas per pink umbrella. 1:7

Do the same for the second one, 1:6. So they are different.

Answer:

r horses and I am a little girl but I've never seen her

Answer:

The result would be 0 (zero)

Step-by-step explanation:

Okay so it is kind of difficult to explain with words but I will try to make it simple, so you could start with each number first.

What I mean by that is graph it like it says first, starting with -9 and then go four spaces to the right and then five more spaces to the right.

Next, Start four spaces to the right then go five more spaces right and then go nine spaces to the left.

And lastly, start five spaces to the right and go nine spaces to the left and then go four spaces to the right. H

Hopefully this is what you were looking for!

Answer: (2.)

1 and 111 only

Step-by-step explanation:

Answer:$20

Step-by-step explanation:

$25x.20=5

$25-5=20

Answer:

Multiply dno. plus nume. by 2

Step-by-step explanation:

get a base of 100

Answer:

The value of g(f(3)) = 2

Step-by-step explanation:

We are given:

[tex]f(x)=2x[/tex]

[tex]g(x) = x-4[/tex]

And we need to find g(f(3))

First we need to find g(f(x))

by putting the value of f(x) into g(x) i.e put x = 2x

[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]

Now, we need to find g(f(3)) by putting x = 3 in g(f(x))

[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]

So, the value of g(f(3)) = 2

Answer:

1. 19/20

2. 8/45

3. 13/28

4. 4/3

5. 5/24

6. 49/30

7. 5/33

Fractions are integers that have both a numerator and a denominator. Fraction comes in the form: [tex]\frac{x}{y}[/tex]

where x = numerator and y = denominator.

a) 1/5 + 3/4

We find the Lowest common denominator (5, 4) = 20

Hence: 4 + (5 x 3) / 20

= 4 + 15 / 20

= 19/20

b) 7/9 - 3/5

We find the Lowest common denominator (5, 9) = 45

Hence: (7 x 5)  + (9 x 3) / 45

= 35 - 27 / 45

= 8/45

c) 6/8 - 2/7

We find the Lowest common denominator (7, 8) = 56

Hence: (6 x 7) - (2 x 8) / 56

= 42 - 16 /56

= 26/56

= 13/28

d) 5/6 + 5/10

We find the Lowest common denominator (6, 10) = 30

Hence: (5 x 5) + (5 x 3) / 30

= 25 + 15 / 30

= 40/30

= 4/3

= 1 1/3

e) 7/8 - 2/3

We find the Lowest common denominator (3, 8) = 24

Hence: (7 x 3) - (2 x 8) / 24

= 21 - 16 / 24

= 5/24

f) 8/10 + 5/6

We find the Lowest common denominator (6, 10) = 30

Hence: (8 x 3) + (5 x 5)

= 24 + 25 / 30

= 49/30

= 1 19/30

g) 9/11 - 2/3

We find the Lowest common denominator (3, 11) = 33

Hence: (9 x 3) - (11 x 2) / 33

= 27 - 22 / 33

= 5/33

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Answer:

0

Step-by-step explanation:

The slope formula is (change in y)/(change in x)

since the numerator (change in y) is 0, the slope will be 0

Answer:

12, 15, 18

Step-by-step explanation:

4+5+6 = 15

45/15 = 3

multiply 4 x 3 = 12

multiply 5x 3 = 15

multiply 6 x 3 = 18

Answer:

4684.5

Step-by-step explanation:

6000 * (1 - 6%)4 = 4684.5 (1.d.p)

Answer: 8x+10y

Step-by-step explanation:

2(4x)= 8x

2(5y)= 10y

8x+10y

Answer:

1/11>x

Step-by-step explanation:

4−23x>2−x

 +23x to both sides

4>2+22x

 -2 from both sides

2>22x

  Divide by 22

1/11>x

Answer:

12

Step-by-step explanation: