help i forgot how to do this

Answer:

24

Step-by-step explanation:

i did it on edge

The shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.

"It is a triangle in which one of the angle measures 90° "

"It is the longest side in the right triangle."

"In right triangle, a² + b² = c², where c is hypotenuse and a, b are other two sides of the right triangle."

"In right triangle for angle x, [tex]sin(x)=\frac{opposite~ side~ of~ angle~x}{hypotenuse}[/tex] "

For given question,

Consider the following figure.

In right triangle WXY, WX is 23 feet as a window screen is 23 feet above the ground.

WY represents the ladder.

that is the hypotenuse of right triangle WXY is the length of the ladder.

A ladder leans against a building and forms a 75 degree angle with the ground

⇒ ∠WYX = 75°

Consider the sine of ∠WYX .

[tex]\Rightarrow sin(75)=\frac{WX}{WY}\\\\ \Rightarrow 0.9659=\frac{23}{WY}\\\\ \Rightarrow WY=\frac{23}{0.9659}\\\\ \Rightarrow WY=23.81\\\\\Rightarrow WY\approx 24[/tex]

This means the hypotenuse WY is approximately 24 ft.

Therefore, the shortest possible length of the ladder if the top of it is 23 feet off the ground is 24 ft.

Learn more about the hypotenuse here:

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Answer:

y = - 2x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] x - 8 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute (- 3, - 4) into the partial equation

- 4 = 6 + c ⇒ c = - 4 - 6 = - 10

y = - 2x - 10 ← equation of perpendicular line

Step-by-step explanation:

Hey there!

The 1st equation is;

y= 1/2 x-8.............(i)

Comparing the equation y= mx+c. We get;

Slope (m1) = 1/2

The equation of point which moves through point (-3,-4).

(y-y1) = m2 (x-x1). {Use one-point formula to find out the equation}

(y+4) = m2 (x+3)..………(ii)

Now, we need to find m2.

So, the condition of perpendicular lines: m1*m2= -1.

[tex] \frac{1}{2} \times m2 = - 1[/tex]

[tex]m2 = - 2[/tex]

Therefore, m2 = -2.

So, let's keep value of m2 in eqaution (ii).

y+4 = -2(X+3)

y+4 = -2x-6

y = -2x -10.

Therefore, the eqaution is y= -2x-10.

Hope it helps......

Step-by-step explanation: To find the area of the circle,

start with the formula for the area of a circle, which is [tex]A = \pi r^{2}[/tex].

Notice that our circle has a radius of 8 units.

So plugging into the formula, we have (π)(8 units)².

Now, (8 units)² is equal to 8 units × 8 units or 64 units².

So we have 64π units² which is an exact answer.

Answer:

sometimes

Step-by-step explanation:when a >b?

ax+y=8

bx + y = 5

always

sometimes

O

never

Answer:

median: 44

first quartile: 25

third quartile: 61.5

interquartile range: 36.5

Step-by-step explanation:

For the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.

The Interquartile Range (IQR) formula is a measure of the middle 50% of a data set. The smallest of all the measures of dispersion in statistics is called the Interquartile Range. The difference between the upper and lower quartile is known as the interquartile range.

Formula to find the interquartile range is Interquartile range = Upper Quartile - Lower Quartile =Q2=Q3-Q1

The given date set is 28,46,25,76,18,25,47,83,44.

The data in order 18,25,25,28,44,46,47,76,83.

Here,

Median =44

First quartile=Q₁=25

Third quartile=Q₃= (47+76)/2

= 61.5

Now, interquartile range (IQR)

= Q₃-Q₁

= 61.5-25

= 36.5

Therefore, for the given data set median is 44, first quartile is 25, third quartile is 61.5 and interquartile range is 36.5.

Learn more about the interquartile range here:

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Answer:

Evaporation is great separating a mixture of a soluble solid and a solvent .The involves heating the solution until the solvent evaporates leaving behind the solid residue.

May it help you

Answer:

66

Step-by-step explanation:

6 × 9 + 4 × 3

We use PEMDAS to determine the order in which the mathematical operations would be carried out.

PEMDAS is an acronym for Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.

Multiplication comes first so;

6 × 9 + 4 × 3

54 + 12

We can then add both numbers.

54 + 12 = 66

Answer:

one pound of meat is $3.89

Step-by-step explanation:

93.36/8=11.67

11.67/3=3.89

Answer:

it is now by this

x^2 by jai ieye play free fire boyahh

Answer:

3 inches by 5 inches

Step-by-step explanation:

You have to divide the numbers 9 and 15 by 3

9÷3=3

15÷3=5

So that means it is 3 inches by 5 inches

Answer:

3 inches by 5 inches

Step-by-step explanation:

You have to divide the numbers 9 and 15 by 3

9÷3=3

15÷3=5

So that means it is 3 inches by 5 inches

Answer:

102

Step-by-step explanation:

12 x 9 x 51 = 5508

5508 / 54 = 102

Hope this helps!

Answer:

102.00

Step-by-step explanation:

12 feet high *  9 feet wide * 51 feet long / 54 = the answer

Answer:

Add 3/4 to both sides (the last option)

Step-by-step explanation:

Since you want to isolate f and the expression on one side is f - 3/4, you have to add 3/4 so that the -3/4 cancels out. When you do that, you also have to add 3/4 to the other side so that the equation stays balanced.

Answer:

The snail will reach the top of the coconut in 18 hours.

Step-by-step explanation:

If the snail will climb 2 meters in 1 hour but it will slip down one meter for every 2 meters climbed, then the distance traveled will be:

[tex] d = 2 m - 1 m = 1 m [/tex]                                        

Since in 1 hour, it climbs 2 meters minus 1 meter, the time in which the snail will reach the top is:

[tex] t = \frac{1 h}{1 m}*18 m = 18 h [/tex]      

Therefore, the snail will reach the top of the coconut in 18 hours.

I hope it helps you!                                          

Answer:

A

Step-by-step explanation:

;)

Answer:

Step-by-step explanation:

a is not less than 0 because it is to the right of 0 on the number line, so the first statement is false. The second statement is true. The absolute value of positive a is positive a, and since a is to the right of 0 on the number line, it is greater. The third statement is false. The absolute value of positive a is positive a, not 0.

Answer:

252

Step-by-step explanation:

15 times 12 is 180. 3 times 6 is 18. 6 times 9 is 54. 252 is the area

Answer:

1. a. 2,000

2. b. 10 years

3. a. 6.72937

4. d. 9%

Step-by-step explanation:

1. If 58% are boys, the percentage of girls is:

= 100 - 58

= 42%

That means 840 is 42% of the students in class. The students in class are therefore:

= 840 / 42%

= 2,000 students

2. If Birr 300 is invested at 6% per year, the amount in interest it earns per year is:

= 300 * 6%

= Birr 18

To get to Birr 180, it would take:

= 180/18

= 10 years

3. When a number is in percentage that means that it is a fraction with the denominator being 100. The number is decimal will therefore be it divided by 100:

= 672.937/100

= 6.72937

4. The investment accrued Birr 12 out of Birr 400 in 4 months. This means that it increased by:

= 12/400

= 3%

A year can be divided into three by 4 months. This means that the yearly rate is therefore:

= 3% * 3

= 9%

Answer: 7 1/2

Step-by-step explanation:

From the question, we are informed that a large bag of chocolate chips contains 11 1/4 cups and that a cookie recipe needs 1 1/2 cups of chocolate chips.

The number of times that the cookie recipe can be made will be:

= 11 1/4 ÷ 1 1/2

= 45/4 ÷ 3/2

= 45/4 × 2/3

= 7 1/2

The recipe can be made 7 1/2 times

Answer:

75°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

Step 1

6x-8=5x+4  Equation/Question

Step 2

6x-8=5x+4  simplify

6x-8=5x+4

Step 3

6x-8=5x+4  Subtract

x-8=4

Step 4

x-8=4  Add 8

answer

x=12

Hope this helps

Answer:

The answer is x = 12

Step-by-step explanation:

So, first you're going to add 8 on both sides

6x - 8 +8 = 5x + 4 + 8

Then simplify

6x = 5x + 12

Then subtract 5x from both sides

6x - 5x = 5x + 12 - 5x

Then simplify again and you get

x = 12

Hope this helped!

Answer: $40 can be withdrawn from the account for 7 weeks if she wants to maintain a balance of at least $200.

Step-by-step explanation:

Answer:

u should use des mos . com

answer: 2x − 2 < y < 2x + 3

Graph a dashed line, then shade the area below the boundary line since  y  is less than  2x + 3

.

number one because if you do the math it's the o nly one that's different

Answer: 4 : 15

Step-by-step explanation:

The unit ratio of 2 : 8 is 1 : 4

The unit ratio of 5 : 20 is 1 : 4

The unit ratio of 3 : 12 is 1 : 4

However, the unit ratio of 4 : 15 is 4 : 15

Hope this helped!

Answer:

a) A = kB

b) 20

c) 9

Step-by-step explanation:

A is directly proportional to B when A = 12, B = 3

a) find a formula for A in terms of B

A ∝ B

A = kB

Where k is constant of proportionality

when A = 12, B = 3

12 = 3k

k = 12/3

k = 4

b) find the value of A when B = 5

A = kB

k = 4

A = 4 × 5

A = 20

c) find the value of B when A = 36

k = 4

A = kB

B = A/k

B = 36/4

B = 9

9514 1404 393

Answer:

  Jermaine and Sadie have similar triangles. Aisha's is not similar.

Step-by-step explanation:

The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.

  Jermaine's triangle has side ratios ...

     8 : 14 : 20 = 4 : 7 : 10

  Sadie's triangle has side ratios ...

     2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)

  Aisha's triangle has side ratios ...

     4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)

Sadie and Jermaine have similar triangles.

Answer:

1. The 12 pack

2. Sargento cheese slices

Step-by-step explanation:

1.

1.80×2=3.60

2.

2.48/10 = .248 → .25

Answer:

Total money= 11250

In attachment

Answer:

125

Step-by-step explanation:

First you want to find out the difference between Randy and Phil:

120 - 95 = 25

Then, multiply that by five:

25 × 5 = 125

Hope this helps

Answer:

Davis owns 125 cards

Step-by-step explanation:

120 - 90 =  25 x 5 = 125

Answer:

B

Step-by-step explanation:

Answer:

97km/h to 1dp

Step-by-step explanation:

47mins is 0.783 of an hour

76km/0.783 = 97.0212km/h

Answer:

5 to 4

Step-by-step explanation:

when it's asking for a ratio it's basically division

chocolate/vanilla = 40/32 = 5/4

5/4 is the same as 5:4 or 5 to 4