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1 year ago

Watch help video If you place a 13-foot ladder against the top of a 12-foot building, how many feet will the bottom of the ladde

r be from the bottom of the building? feet Submit Answer Answer: Type here to search O

Mathematics

1 answer:

riadik2000 [5.3K]1 year ago

6 0

$\begin{gathered} X\text{ will represent the bottom of the ladder fom the bottom of the building} \\ U\text{sing pythagoras Theorem} \\ (Hyp)^2=(opp)^2+(Adj)^2 \\ 13^2=x^2+12^2 \\ 169=x^2\text{ +144} \\ 169-144=x^2 \\ 25=x^2 \\ x^2\text{ = 25} \\ x\text{ = }\sqrt[]{25} \\ x\text{ = 5foot} \end{gathered}$

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The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t

Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

$Average = \frac{x + y}{2}$

And:

$Average = (1 - 30\%) * x$ -----30% less than x

Substitute $Average = (1 - 30\%) * x$ in $Average = \frac{x + y}{2}$

$\frac{x + y}{2} = (1 - 30\%) * x$

$\frac{x + y}{2} = (1 - 0.30) * x$

$\frac{x + y}{2} = 0.70 * x$

$\frac{x + y}{2} = 0.70x$

Cross multiply

$x + y = 0.70x * 2$

$x + y = 1.40x$

Collect like terms

$1.40x - x = y$

$0.40x = y$

Make x the subject

$x = \frac{y}{0.40}$

$x = 2.50y$

So, the average is:

$Average = (1 - 30\%) * x$

$Average = (1 - 30\%) * 2.50y$

$Average =0.70 * 2.50y$

$Average =1.75y$

Rewrite as:

$Average =(1 + 0.75)y$

Express as percentage

$Average =(1 + 75\%)y$

This means that the average is 75% bigger than the second number

6 0

3 years ago

Three classes. Of third graders are going to the zoo. Ms. Noels class has 10 students. Mr. Grubbs class has 9 students, and Ms.

liq [111]

Answer:

If the children divide evenly onto 3 buses, there will be 11 children on each bus

Step-by-step explanation:

Add all 3 classes to ind total amount of students

Ms. Noels class has 10 students

Mr. Grubbs class has 9 students

Ms. Ackerman's class has 14 students

<u>Total Students:</u> 10 students + 9 students + 14 students

33 total students

Dividing 33 students in 3 busses is 33 / 3 which equals 11

4 0

2 years ago

What sign of a null hypothesis must always include?

IrinaVladis [17]

Answer:

Option d - Equality

Step-by-step explanation:

To find : What sign of a null hypothesis must always include?

Solution :

The Null hypothesis is defined as a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect beyond a reasonable doubt.

The Null hypothesis represent by $H_o$