Tom is afraid of heights above 9 feet. He is asked to repair a side of a high deck. The bottom of a ladder must be placed 6 feet from a deck. The ladder is 10 feet long. How far above the ground does the ladder touch the deck? Is tom afraid of the height

Answers

Answer 1
Use pathagoream theorem. You get the equation: 10^2=6^2+x^2 then solve and simplify to get x=8 So no Tom is not afraid of the heights
Answer 2
The ladder touches the deck at 8 feet high..
a = 6 ft ; b = unknown ; c = 10 ft

6² + b² = 10²
b² = 10² - 6²
b² = 100 - 36
b² = 64
b = √64
b = 8 feet.

Related Questions

Three different ways you can add the same addends to make 12

Answers

1plus11 2plus10 6plus6
1+11, 5+7, 3+9, 2+10, 4+8, 6+6,

Michelle multiplied 3.4 x 52 She incorrectly wrote 1,768 as her product. Use words, numbers, and/or pictures to explain Michelle's mistake.

Answers

She forgot the decimal point in 3.4, instead of 3.4x52 she did 34x52

Michelle forgot to add the decimal point on her result number.

Further Explanation

When multiplying decimal numbers don't forget to put the decimal point. The whole process of multiplying would be the same as the whole numbers multiplication except for the placement of the decimal point in the answer.

For example:

[tex]=\boxed {3.4 \times52\ }\\ =\boxed {176.8\ }[/tex]

The step by step process would be:

 3.4                    ⇒ the first factor has 1 decimal point

  52   x             ⇒ the second factor has 0 decimal point

  68

170    +

176.8                 ⇒ the answer would have 1 decimal point

Unlike the additional decimal numbers, when we are doing the multiplication, we don't need to line up the decimal point, in the case above:

first factor has 1 decimal pointthe second factor has 0 decimal point (a whole number)so the answer would be have 1+0 = 1 decimal point

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show two ways 5 people can share a 3 segment chewy fruit worm equally

Answers

Split them in half or three of them have a how then two have to split

Method 1: Each person gets one segment, and the remaining two segments are cut into halves.

Method 2: Each person gets a half segment, and the remaining segments are cut into thirds.

Method 1: Each person gets one segment, and the remaining two segments are cut into halves:

Step 1: Give one segment to each person.

Step 2: Cut the remaining two segments into halves.

Step 3: Distribute the halves evenly among the five people.

So, each person will get one whole segment and one half segment.

In total, each person will get 1.5 segments.

Method 2: Each person gets a half segment, and the remaining segments are cut into thirds:

Step 1: Cut each of the three segments into thirds.

Step 2: Give one-third of each segment to each person.

Step 3: Each person will also get a half segment from the remaining two segments.

So, each person will get 0.5 segments from the three initial segments and 0.5 segments from the two remaining segments.

In total, each person will get 1 segment.

Both methods ensure that each of the 5 people gets an equal share of the 3-segment chewy fruit worm.

Paula received a paycheck of $585. This amount reflects her weekly earnings less 10% of her earnings for deductions. How much was she paid before deductions were taken out?

Answers

In order to do this we must set up an equation
We are looking for the original amount she was paid, which we'll represent by the variable X
We know that $585 is X minus 10% of X
This means that $585 is 90% of X (or X times 0.90)
So, our equation is

X(0.90)=585

In order to solve this, we can divide both sides by 0.90

X=650

So, she was originally paid $650

How does Elian's drawing show that the number 10 is a composite number?

Answers

It shows that there is only one way to get to 10 which is by multiplying it by 1

Can u guys help me with the blank space what's the answer!?

Answers

N =30 hope this helps
First you multiply 72 by 5 which you get 360

And then you divided it by 12 which you get 30

So the n=30

Gobbler stuffing mix has 3 cups of cubed bread and one cup of dried vegetables. Perfect poultry mix has four cups cubed bread 22 cups of dried vegetables. Which mixed has the greater vegetable to bread ratio?

Answers

Perfect poultry mix has the grater ratio of veggies to bread 22to4 whereas the other one is 1to3

The Perfect poultry mix has a vegetable to bread ratio of 1/2, which is greater than the Gobbler stuffing mix's ratio of 1/3.

To determine which mix has the greater vegetable to bread ratio, we need to compare the ratios of dried vegetables to cubed bread for both Gobbler stuffing mix and Perfect poultry mix.

For the Gobbler stuffing mix, we have 1 cup of dried vegetables to every 3 cups of cubed bread, which gives us a ratio of 1/3 or approximately 0.33.

For the Perfect poultry mix, the ratio is 2 cups of dried vegetables to every 4 cups of cubed bread, which simplifies to 1/2 or 0.5.

Comparing the two ratios, we can see that 0.5 (Perfect poultry mix) is greater than 0.33 (Gobbler stuffing mix), so the Perfect poultry mix has the greater vegetable to bread ratio.

Plz Help fast!!
25 points. Which equation correctly applies the distributive property?
A. 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)
B. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)
C. (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)
or D. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67 ​

Answers

A. Because as you see the -3.4 and the 2.4 get multiplied on the right side, showing the distributive property.   

Answer:

The answer is B

Step-by-step explanation:

I know I'm late to this answer, but I'm just answering it just in case anyone else needs it.

A baseball pitcher can throw a ball 120 feet per second. At his rate, how long would it take the ball to travel 300 feet? (Show your work)

Answers

time = distance / speed = 300 / 120 = 2.5 seconds

6+2n=3 what is n? And how so you solve?

Answers

Just subtract 6 from both sides, and then divide by the coefficient beside n.
6+2n=3
2n=-3
n=-3/2

The solution to the equation 6 + 2n = 3 is n = -3/2.

Given is an equation we 6 + 2n = 3, we need to solve for n,

To solve the equation 6 + 2n = 3 for n, we'll isolate the variable n by performing the necessary operations step by step.

Here's the solution:

Start with the given equation: 6 + 2n = 3.

Subtract 6 from both sides of the equation to move the constant term to the right side:

6 + 2n - 6 = 3 - 6.

Simplifying the left side gives: 2n = -3.

Divide both sides of the equation by 2 to solve for n:

(2n) / 2 = -3 / 2.

This simplifies to: n = -3/2.

Therefore, the solution to the equation 6 + 2n = 3 is n = -3/2.

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A baker wants to put 3 3/4 pounds of apples in each pie she makes. She purchased 52 1/2 pounds of apples. How many pies can she make

Answers

3 3/4=3.75
52 1/2=52.5
52.5/3.75=14
She can make 14 pies.

Answer:

UCOSVGLJHBdfbhksd

Step-by-step explanation:

Question#2: a wise man once said 300 reduced by 4 times my age is 32 what is his age

Answers

 300 reduced by 4 times my age is 32 

300 - 4x = 32

-300           -300

-4x = -268

/-4       /-4

x = 67

How many cups of sorbet are used in 8 cups of punch. Ginger ale= 40%. Orange juice=25%. Pineapple=20%. Sorbet=15%

Answers

Hi there that 20 because I'd you calculate it 20

78% as a fraction and in simplest form

Answers

39/50 and thats in simplest form
So percent is 100 so the fraction would be 78/100 and then u can divide both numbers by 2 and get 39/50 in simplest form

Complete the ratio 6:30 = 1:? What goes where the question mark is?

Answers

The answer is 5 because 30/6=5

The value of the variable that is missing a number will be 5.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Let x be the missing number. Then the ratio is given as,

6: 30 = 1: x

Simplify the equation, then the value of the variable 'x' will be given as,

6 / 30 = 1 / x

x = 30 / 6

x = 5

The value of the variable that is missing a number will be 5.

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The sum of 3 fifteens and 4 twos

Answers

3 × 15 = 45
4 × 2 = 8
45 + 8 = 53
Hope this helps!
It means 3fifteens(=45) add 4twos(=8) total together equaling 53

Jim said led 3/4 gallon of lemonade. Dwight sold some lemonade, to.together they sold 1 5/12 gallons.who sold more lemonade, Jim or Dwight

Answers

1 5/12= 1.416 (in decimal form)
3/4=.75 (in decimal form)
1.416 (total amount of lemonade sold) - .75 (amount of lemonade Jim sold) = amount of lemonade Dwight sold
Amount of Lemonade Dwight Sold = .666
Jim sold more lemonade because .75 gallons is greater than .666 gallons

It's clear that [tex]\( \frac{9}{12} \)[/tex] is greater than [tex]\( \frac{20}{48} \).[/tex] So, Jim sold more lemonade than Dwight.

Jim sold [tex]\( \frac{3}{4} \)[/tex] gallon of lemonade.

Dwight sold [tex]\( \frac{5}{12} \)[/tex] gallons.

To compare them, we need to find a common denominator, which is 12.

For Jim:

[tex]\[ \frac{3}{4} \times \frac{3}{3} = \frac{9}{12} \][/tex] gallon.

For Dwight:

[tex]\[ \frac{5}{12} \times \frac{4}{4} = \frac{20}{48} \][/tex] gallon.

Now, it's clear that [tex]\( \frac{9}{12} \)[/tex] is greater than [tex]\( \frac{20}{48} \).[/tex] So, Jim sold more lemonade than Dwight.

3500 calories for 6 servings of pie ----------- calories per serving

Answers

3500/6=583.3 calories per serving
The answer is 575 calories per person per slice of pie. :)
Hope this helps!

0.15% as a decimal and as a mixed number or fraction

Answers

.0015, 15/10000=3/2000
.15= decimal.
3/20= fraction.

Lightning strikes Earth 1000 times in 10 seconds. How many times does it strike per second?

Answers

100 lightning strikes per second because 1000 / 10 = 100.

Lightning strikes the earth 100 times per second.

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

Given that, lightning strikes earth 1000 times in 10 seconds.

So, mathematically,

10 seconds = 1000 times

1 second = (1000/10) times

1 second = 100 times

Hence, lightning strikes the earth 100 times per second.

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Mr.halls car used 2.2 gallons of gasoline this week. He drove a total of 37.9 miles. If the car got the same gas mileage for the entire trip.hiw many miles did the car travel for each gallon of gasoline.

Answers

it would be 17.2272727273
Final answer:

Mr. Hall's car traveled approximately 17.23 miles per gallon of gasoline when he drove a total of 37.9 miles using 2.2 gallons.

Explanation:

To calculate the number of miles Mr. Hall's car traveled per gallon of gasoline, we need to divide the total miles driven by the total gallons of gasoline used. Mr. Hall drove a total of 37.9 miles and used 2.2 gallons of gasoline. Thus, to find the miles per gallon (MPG), the calculation would be:

MPG = Total Miles Driven / Total Gallons of Gasoline Used

MPG = 37.9 miles / 2.2 gallons

MPG = 17.23 miles per gallon

So, for each gallon of gasoline, Mr. Hall's car traveled approximately 17.23 miles.

Is 5/8 greater than 1/2

Answers

Basically, you have five bigger pieces compared to five smaller pieces. So 5/8 is greater than 5/10. When the numerators are the same, we don't have to worry about converting any numbers. Let's look at like fractions (same denominators).        SO YEAH

The greater number between 5/8 and 1/2 is 5/8

How to determine which fraction is greater

From the question, we have the following parameters that can be used in our computation:

5/8 or 1/2

Express them as decimals

so, we have the following representation

5/8 = 0.625

1/2 = 0.50

By comparison

0.625 is greater than 0.50

using the above as a guide, we have the following:

This means that the greater number is 5/8

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You place a mirror on the ground 6 feet from the lamppost. You move back 3 feet and see the top of the lamppost in the mirror. If you are 5 feet tall, what is the height of the lamppost?

Answers

Answer: 10 feet

Step-by-step explanation:

Let h be the height of lamppost.

Since both the person and the lamppost are standing vertical to the ground,  making similar right triangles.

Because the two triangles are similar, the ratio of their sides is the same.

Therefore, we have

[tex]\frac{\text{height of lamppost}}{\text{distance of lampost from mirror}}=\frac{\text{height of person}}{\text{distance of person from mirror}}\\\\\Rightarrow\frac{h}{6}=\frac{5}{3}\\\\\Rightarrow\ h=\frac{6\times5}{3}\\\\\Rightarrow\ h=10[/tex]

Hence, the height of the lamppost = 10 feet.

Setting up a proportional relationship between mirror and lamppost, the height of the lamppost is 10 feets.

Height of person, Hp = 5 feets

Distance of person form mirror, Dp = 3 feets

Distance of Lampost from mirror, Dm = 6 feets

Height of Lampost = Hl =?

Setting up a proportional relationship :

[tex]\frac{Hp}{Dp} = \frac{Hl}{Dm} [/tex]

[tex]\frac{5}{3} = \frac{Hl}{6} [/tex]

Cross multiply :

Hl × 3 = 6 × 5

3Hl = 30

Hl = (30 ÷ 3)

Hl = 10

Therefore, the height of the lamppost is 10 feets.

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The seventh-grade band is going to sell baked goods at the craft show. The cost to rent a booth at the craft show is $60. The band plans to charge $1.50 per baked good. How many baked goods must they sell in order to profit at least $200?

Answers

200+60=260/1.50=173.3
selling 173 would be under 260 dollars and im assuming you cant sell half a baked good 
so the answer is 174

The number of baked goods to have at least a profit of $200 is

94 or more.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Cost of renting a booth = $60

Charge per baked good = $1.50

The number of baked goods to have a profit of at least $200.

60 + 1.50x ≥200

Solve for x.

60 + 1.50x ≥ 200

Subtract 60 on both sides.

1.50x ≥ 200 - 60

1.50x ≥ 140

Divide both sides by 1.50

x ≥ 140/1.50

x ≥ 93.33

This means,

94 or more baked goods.

Thus,

94 or more baked goods need to be sold to have a profit of at least $200.

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John is planning a trip to Disneyland in Los Angeles, CA. He is leaving his house in Sacramento with a full tank of gas. The table below shows how much gas he will use along the way.

Answers

Do the reaction photosynthesis

Help me simple this 42/90

Answers

7/15 will be the most you can simplify
7/15 is how low u can go

Melanie spent four hours babysitting. She charges $16 upfront and then and additional charge per hour. The total amount she earned can be represented by the expression $4x + $16. What expression represents the amount she earns each hour?

Answers

Final answer:

The expression representing the amount Melanie earns each hour from babysitting, based on the expression $4x + $16 and her working for four hours, is represented by the variable $x. To determine the hourly rate, we would divide the total hourly charge by the number of hours, but the specific value of $x is not given.

Explanation:

The given expression representing Melanie's total earnings from babysitting for four hours is $4x + $16. Here, $16 is the upfront charge and $4x represents the additional hourly charge multiplied by the number of hours worked. To find the expression representing the amount she earns each hour, we look at the variable part of the expression, which is $4x.

Since Melanie worked for four hours, this part of the expression ($4x) must account for her earnings per hour times the number of hours worked. To find her earnings per hour, we divide the total hourly charge by the number of hours. Therefore, the expression for the hourly rate is $x.

To determine the specific amount that x represents, we would need additional information, such as the total amount she earned after working the four hours. However, based on the given expression, we can conclude that x is representative of Melanie's earnings per hour.

Car A travels 180 miles in 7 hours. Car b travels 350 miles in 4 hours. Car c travels 584 miles in 15 hours. Which car has fastest average speed?

Answers

Car b has the fastest average speed

Answer:

Car B has the fastest average speed 87.5/ per hours

Step-by-step explanation:

Car A

180/7 = 25.714

Car B

350/4= 87.5

Car C

584/15= 38.93

what is the last step when solving the following equation for m? 4m-6=92

Answers

The last step is dividing both sides by 4: 4m=98 which would become: m=24.5

Hope this helps :)

Answer: 24.5

Step-by-step explanation:

4m-6 = 92

If we replace m with 24.5

4 x 24.5 = 92

therefore the answer is:

24.5

a.Two friends share 76 blueberries
To count the blueberries,they can put them into small bowls of 10 blueberries.Draw a picture to show how the blueberries can be shared equally.Will they have to split apart any of the bowls of 10 bluberries when they share them?

Answers

They would have to split apart the group with 6 blueberries. Each friend would get three blueberries from this group.
Final answer:

To divide 76 blueberries equally into small bowls of 10 blueberries, 7 bowls will be needed. They will need to divide the remaining 6 blueberries equally by adding 1 blueberry to each bowl.

Explanation:

To divide 76 blueberries equally into small bowls of 10 blueberries, we will need 7 bowls. Each bowl will contain 10 blueberries, with 6 blueberries left over. Since they cannot split apart a bowl of 10 blueberries, they will need to divide the remaining 6 blueberries equally by adding 1 blueberry to each of the 7 bowls. This way, they will have shared the blueberries equally.

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