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ra1l [238]
3 years ago
7

jake plans to use a ramp to make it easier to move a piano out of the back of his truck the back of the truck is 33 inches tall

and the ramp is 65 inches long. what is the horizontal distance from the end of the ramp to the back of the truck

Mathematics
2 answers:
DiKsa [7]3 years ago
8 0
Check the picture below.

anyanavicka [17]3 years ago
5 0

Answer:

56 inches is the horizontal distance from the end of the ramp to the back of the truck.

Step-by-step explanation:

Height of the back of the truck =33 inches

Length of the ramp = 65 inches

Length of the end of ramp to the back of the truck =?

In triangle ABC:

AB = 33 inches

BC = ?

AC = 65  inches

AB^2+BC^2=AC^2 (Pythagoras theorem)

(33 inches)^2+(BC)^2=(65 inches)^2

BC = 56 inches

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Maria solved the equation. 4 (3 x minus 8) minus 4 = 24. 12 x minus 32 minus 4 = 24. 12 x minus 36 = 24. 12 x = 60. x = 5. What
Mrac [35]

Answer:

1. Distributive property.

2. Combining like terms.

3. Addition property of equality.

4. Division property of equality.

Step-by-step explanation:

- The Distributive property states that:

a(b+c)=ab+ac\\\\a(b-c)=ab-ab

- The Addition property of equality states that:

If\ a=b\ then\ a+c=b+c

- The Subtraction property of equality states that:

If\ a=b\ then\ a-c=b-c

- The Multiplication property of equality states that:

If\ a=b\ then\ a*c=b*c

- The Division property of equality states that:

If\ a=b\ then\ \frac{a}{c}=\frac{b}{c}

Given the following equation:

4(3x-8)-4=24

We can identify that the methods Maria used to solve it and the order, are:

1. Distributive property:

(4)(3x)-(4)(8)-4=24\\\\12x-32-4=24

2. Combining (or adding) like terms:

12x-36=24

3. Addition property of equality, because she added 36 to both sides of the equation:

12x-36+36=24+36\\\\12x=60

4. Division property of equality, because she divided both sides of the equation by 12:

\frac{12x}{12}=\frac{60}{12}\\\\x=5

7 0
3 years ago
Read 2 more answers
HELP ME PLZ. I have no clue how to do this.
Varvara68 [4.7K]

Answer:

32

Step-by-step explanation:

3x+1=8x-24

25=5x

x=5

3 times 5 plus 1 is 16 and so the length is 32

comment section:

XM=MY because MN is segment bisector

XM=3x+1=3*5+1=16=MY and since XM+MY=XY 16+16=32

3 0
3 years ago
A confidence level of 95% mean
USPshnik [31]

Answer:

A 95% confidence interval is a range of values that you can be 95% certain contains the true mean of the population. ... The 95% confidence interval defines a range of values that you can be 95% certain contains the population mean.

Step-by-step explanation:

hope that helps

8 0
3 years ago
Read 2 more answers
which describes 1/8 is it a real number and rational number is it a real number and an irrational number and a natural number is
Aloiza [94]
Real numbers are all numbers found on the number line (positive, negative, fractions, square roots, whole numbers).

Rational numbers are fractions, or quotients, of two integers.

Irrational numbers are numbers with decimals that continue on (without repetition). They cannot be written as a fraction of two integers. Irrational number examples: √41, √97, √15

Natural numbers are whole, positive numbers.

Integers are whole, non-fraction numbers.


ANSWER: 1/8 is not a whole number, an integer or a natural number. It is a real and rational number (choice #1).

Hope this helps! :)
3 0
3 years ago
The average cost of tuition plus room and board at small private liberal arts colleges is reported to be less than $18,500 per t
lys-0071 [83]

Answer:

The null and alternative hypothesis for this study are:

H_0: \mu=18500\\\\H_a:\mu< 18500

The null hypothesis is rejected (P-value=0.004).

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Then, the null and alternative hypothesis are:

H_0: \mu=18500\\\\H_a:\mu< 18500

The significance level is 0.05.

The sample has a size n=150.

The sample mean is M=18200.

The standard deviation of the population is known and has a value of σ=1400.

We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31

Then, we can calculate the z-statistic as:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624

This test is a left-tailed test, so the P-value for this test is calculated as:

P-value=P(z

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

3 0
3 years ago
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