T Frank leans a 10 foot ladder against the side of his house, but because of a
rose bush next to the house, the bottom of the ladder is 3 feet away from the
wall. How high will the top of his 10 foot ladder really reach? feet

Answers

Answer 1

Answer:

9.5 feet

Step-by-step explanation:

We use Pythagorean thm:

a² + b² = c²

Given:

b = 3

c = 10

Work:

a² + b² = c²

a² + 3² = 10²

a² + 9 = 100

a² = 91

[tex]\sqrt{a^2} =\sqrt{91}[/tex]

a = 9.5


Related Questions

The area of a rectangle is x^2-6x-16. If the width is x+2, what is the length?

Answers

Answer:

8

Step-by-step explanation:

At the craft store, Janice bought a bag of green and yellow marbles. She received 14 green marbles and 11 yellow marbles. What percentage of the marbles were green?

Answers

Answer: 56%

Step-by-step explanation:

Since Janice bought a bag of green and yellow marbles and she received 14 green marbles and 11 yellow marbles, the total number of marbles will be:

= 14 + 11 = 25 marbles

Number of Yellow marbles = 11

Number of Green marbles = 14

Total number of marbles = 25

The percentage of the marbles that were green will be:

= Number of Green marbles / Total marbles × 100

= 14/25 × 100

= 14 × 4

= 56%

In which 3 statements below will the number 24 correctly fill in the blank? A) 2 feet = ___ inches B) 24,000 grams = ___ kg C) 3 gallons = ___ pints D) ___ pints = 12 cups E) 240 mg = ___ grams

Answers

Answer:

A,B and C.

Step-by-step explanation:

(A) 1 feet = 12 inches

So, 2 feet = 2 × 12 inches = 24 inches

(B) 1,000 grams = 1kg

So, 24,000 grams = (24,000÷ 1,000) = 24kg

(C) 1 gallon = 8 pints

So, 3 gallons = 3 × 8 pints = 24 pints

(D) 1 pints = 2 cups

So, 12 cups = (12÷ 2) = 6 pints

(E) 1 gram = 1000 mg

So, 240 mg = (240 ÷ 1,000) = 0.24 gram

Hence, A,B and C correctly fill with 24.

Out of 1500 students at a school 85% made grade check. How many students passed grade check?

Answers

Answer:

1275

Step-by-step explanation:

The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school Chili Cook-Off contest. All the pans of cornbread are square. A pan of cornbread costs $12. The customers can buy any fractional part of a pan of cornbread and pay that fraction of $12. For example, ½ of a full pan costs ½ of $12.

Answers

Answer:

1 / 12 ; $1

Step-by-step explanation:

Pan was 1/4 full and she buys 1/3 of the cornbread in the pan

The fraction of cornbread she buys is :

1/3 of 1/4

1/3 * 1/4 = 1/12

Hence, she bought 1/12 of cornbread

The amount she pays :

Cost of 1 pan = $12

Therefore, the cost of 1/12 of a pan will be :

1/12 * $12 = $1

Hence, she'll pay $1

What is the surface area of the prism in square centimeters

Answers

Ok I just have the phone number for my dad to go it

A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse

Answers

Answer:

C. Adjacent

Step-by-step explanation:

I’m just typing this to get points don’t mind this lol

Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.
When using the exponential DECAY formula, what would be the value of r?

Answers

Given:

The initial value of the car = $75,700

Decreasing rate = 4.3%

To find:

The value of r in the exponential DECAY formula.

Solution:

The exponential decay formula is:

[tex]y=a(1-r)^t[/tex]

Where, a is the initial value, r is the rate of decay on decimal and t is the time period.

The initial value of the car is $75,700 and its value decreases 4.3% annually. So,

[tex]a=75,700[/tex]

[tex]r=\dfrac{4.3}{100}[/tex]

[tex]r=0.043[/tex]

The required exponential decay formula is:

[tex]y=75,700(1-0.043)^t[/tex]

Therefore, the value of r in the exponential decay formula is 0.043.

Mara and Jonathan each created a sequence of numbers using a rule. Both sequences start with 0 as the first number. Mara’s rule is “add 3,” and Jonathan’s rule is “add 5.” Which statement about their sequences is true?

Answers

Answer:

Both can be true irrespective of the common difference.

Solve for n. n =
Fast plz

Answers

Answer:

24

Step-by-step explanation:

360 degrees, so 2+6+5+2=15

360/15=24

n=24

HELP!!!! I NEED TO SUBMIT THIS WITHIN 3 HOURS!!!!!!
At a dinner party, two desserts are being served. Six of the guests choose cheesecake, and eight of the guests choose apple pie. Write two associated part-to-whole ratios for this situation, in simplest form. Then, interpret these ratios within the situation.

Answers

Answer:

6:8, 3:4

hope this helps, im not sure if im correct tho sorry

Step-by-step explanation:

Sammy's mother asked him to buy some aspirin at the supermarket. There were two different
sizes of aspirin bottles, and Sammy was not sure which one to buy. The bottle with 150 tablets
cost $7.50. The bottle with 50 tablets cost $3.00. Sammy used proportions to make his decision.

1. The bottle with 150 tablets

2. The bottle with 50 tablets

3. Both bottles work out the same

Answers

MARK BRAINLIEST SO I CAN LEVEL UP
so I divided 150 by 7.50 and it’s 20 tablets for 1.00 then I divided 50 by 3.00 and it’s 16 tablets for 1.00 so the bottle for 7.50 is a better deal

1/3 divided by 4 what is the awnser for this equation

Answers

Answer:

1/12

Step-by-step explanation:

Hope this helps :)

in a test, a hybrid car drove 4952 yards on 1 cup of gasoline. What is this rate in miles per gallon ?

Answers

Answer:45

Step-by-step explanation: There’s 16 cups in a gallon and the car goes 4952 yards per cup. You have to multiply the equivalency of a gallon by the yards to get your total distance in yards. Then, you would have to divide your total in yards (79,232) by the yards in a mile (1760). Your ratio would be around 45 miles per gallon.

HELP HELP HELP HELP

Answers

Answer:

24

Step-by-step explanation:

help me just

plz

hmmm

or let me die

how to do this question ​

Answers

9514 1404 393

Answer:

  7 days

Step-by-step explanation:

(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.

n=2

  1.8 = A₀·b²

n=3

  2.4 = A₀·b³

Dividing the second equation by the first gives ...

  2.4/1.8 = (A₀·b³)/(A₀·b²) = b

  4/3 = b

__

(b) Substituting this into the first equation, we can find A₀.

  1.8 = A₀·(4/3)²

  1.8(9/16) = A₀ = 1.0125

A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.

__

(c) The area will be 7 cm when ...

  1.0125·(4/3)^n = 7

  (4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀

  n·log(4/3) = log(7/1.0125) . . . . . . take logarithms

  n = log(7/1.0125)/log(4/3) ≈ 6.72092

It will take about 7 days for the area of the patch to exceed 7 cm.

Brenda took a math quiz last week. She got 21 problems correct and 4 problems incorrect. What percentage did Brenda get correct?

Answers

Answer:

84%

Step-by-step explanation:

Add the total number of questions (21+4 = 25)

divide 25 by 21

25/21 = 0.84

Multiply 0.84 by 100 to change it to a fraction

0.84*100 = 84%

The percentage that Brenda got correct was 84 percent

☽. can someone help me <3?

Answers

Answer:

84.9

Step-by-step explanation:

h e l p
Zayn plans to deposit $850 into a savings account that pays 2.4% interest compounded annually. Angelo plans to deposit $860 into an account that pays 2.4% simple interest. They both plan to leave the money invested for 4 years. How much more money will Zayn have than Angelo at the end of the 4 years?

Answers

Answer:

Zayn= $928.72

Angelo= $880.64

Zayn has 48.08 more than Angelo.

Step-by-step explanation:

Answer:

zayn- 934.58

angelo- 880.64

Step-by-step explanation:

Which equation below can be used to determine the missing angle in the triangle?
Select one:

x+75+60=180

75x+60x=180

75+60=x

x+75+60=90

Answers

Answer:You can use this fact to solve for the missing angle of a triangle. ... Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. Below is a picture of triangle ABC, where angle A = 60 degrees, angle B = 50 degrees and angle C = 70 degrees. ... Let x = the degree measure of each angle.

Step-by-step explanation:

Find the total surface area of the net bellow
1. 102.4 cm2
2. 357.4 cm2
3. 22.4 cm2
4. 3502.4 cm2

Answers

Answer: 102.4 cm^2

Step-by-step explanation:

find the surface area of all of the rectangles

7.2(4)=28.8

7.2(2)=14.4

7.2(4)=28.8

7.2(2)=14.4

4(2)=8

4(2)=8

add

28.8+14.4+28.8+14.4+8+8=102.4

Which of the following phrases are inequalities?

Answers

Answer:

B, C, and D

Step-by-step explanation:

They have an either a less than sign ( < ) or a greater than sign ( > ).

20 mi
12 mi
b
What is the length of the missing leg?

Answers

Answer:

13

Step-by-step explanation:

thats my answer byusing calculato

9.
x, y and z are three different numbers.
x + y + z = 100
The mean of x, and y is 40.
The mean of y and z is 35.

Answers

9.

x, y and z are three different numbers.

x + y + z = 100

The mean of x, and y is 40.

The mean of y and z is 35.

the means of x, y is that like similar to coordinator

I need halp PLSSSSS I’m confused

Answers

Answer:

the answer is C (18:30)

Step-by-step explanation:

Each set of ratio in the table in simplest form is 3:5, and so is C.

6×3=18

6×5=30

So, 18:30 in simplest form is 3:5

Hope this helps!

please help i’ll give brainliest

Answers

Answer:

Fungi and bacteria

Hope that helps!

Step-by-step explanation:

Answer:

fungi and bacteria

Step-by-step explanation:

Need some help for this retake

Answers

its is 74 because you add all of them then subtract it from the total which in your case is 360

Answer:

74

Step-by-step explanation:

you add the numbers together you get 286 and the total degree of the shape is 360 so you subract 360 and 286 so you get 74

What is the value of the expression 3b+20 for b=30

Answers

Answer:

110

Step-by-step explanation:

3×30=90

90+20=110

hope this helps

plz can i get brainliest:)

Find the zeros of the function f(x)=3x2−27.

Answers

Answer:

Step-by-step explanation:

Help please thanks bye

Answers

Answer:

I got 51 cm^3

Step-by-step explanation:

Hope this helps you, Im in a rush though but if you need an explanation just let me know

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