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andrey2020 [161]
3 years ago
10

PLEASE HELP WITH THIS MATH PROBLEM 30 POINTS

Mathematics
2 answers:
scZoUnD [109]3 years ago
7 0

Use formula A²+B²=C²
120²+62²=C²
14,400+3,844=C²
14,400+3,844=18,244
√18,244=135.07035...

135.07035...≈135.1
Salsk061 [2.6K]3 years ago
4 0

Answer:

The measure of one of the braces is 135.1 cm.

Step-by-step explanation:

It is given that A carpenter builds a rectangular bookcase that is 120 cm long and 62 cm tall. The carpenter uses two braces along the diagonals to support the bookcase.

From the figure drawn, let two braces be AC and BD. then, the value of one of the braces is:

Since, the measure of ∠C=90°, Using Pythagoras theorem in ΔBDC, we have

(BD)^2=(BC)^2+(DC)^2

Substituting the given values, we have

(BD)^2=(62)^2+(120)^2

(BD)^2=3844+14400

(BD)^2=18244

BD=135.1 cm

Therefore, the measure of one of the braces is 135.1 cm.

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Simplify each.Assume that none of the variables is zero.​
Zanzabum

Answer:

2. 1 / a^2

3, 1

4. - 1

Step-by-step explanation:

Formulas : -

x^y / x^z = x^( y - z )

x^-y = 1 / x^y

x^y / x^y = 1

2.

a^2 / a^4

= a^( 2 - 4 )

= a^-2

= 1 / a^2

3.

m^6 / m^6 = 1

4.

- 8^4 / 8^4

= - 1 x 8^4 / 7^4

= - 1

3 0
3 years ago
Factoring , <br> a² +4a - 5
givi [52]

the factors of the term a^2+4a-5 are (a-1)(a+5)

Step-by-step explanation:

We need to find factors of the term: a^2+4a-5

For finding factors:

We need to break the middle term such that their product is equal to product of first and last term and their sum is equal to middle term

Breaking the middle term and finding factors:

a^2+4a-5

=a^2+5a-a-5

=a(a+5)-1(a+5)

=(a-1)(a+5)

So, the factors of the term a^2+4a-5 are (a-1)(a+5)

Keywords: Finding factors

Learn more about finding factors at:

  • brainly.com/question/9045597
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  • brainly.com/question/13168205

#learnwithBrainly

6 0
3 years ago
ryan reads 2/5 chapters in 3/4 hours. What is the unite rate in chapters per hour write your answer in simplest form
saw5 [17]

Answer:

0.53 chapters per hour or 8/15 chapters per hour

Step-by-step explanation:

2/5 chapters = 0.4 chapters

3/4 hours = 0.75 hours

0.4/0.75 = 0.53 chapters per hour

7 0
3 years ago
When Rafael emptied his pockets, e found he had a total of $3.50 in quarters and nickels. If he had 8 more quarters that nickels
jasenka [17]
You can use systems of equations for this one.

We are going to use 'q' as the number of quarters Rafael had,
and 'n' as the number of nickels Rafael had.


You can write the first equation like this:
3.50=0.05n+0.25q
This says that however many 5 cent nickels he had, and however many
25 cent quarters he had, all added up to value $3.50.
Our second equation is this:
q=n+8
This says that Rafael had 8 more nickels that he had quarters.

We can now use substitution to solve our system.

We can rewrite our first equation from:
3.50=0.05n+0.25q
to:
3.50=0.05n+0.25(n+8)

From here, simply solve using PEMDAS.

3.50=0.05n+0.25(n+8)     --Distribute 0.25 to the n and the 8
3.50=0.05n+0.25n+2     --Subtract 2 from both sides
1.50=0.05n+0.25n     --Combine like terms
1.50=0.30n     --Divide both sides by 0.30
5=n     --This is how many NICKELS Rafael has.

We now know how many nickels he has, but the question is asking us
how many quarters he has.

Simply substitute our now-known value of n into either of our previous
equations (3.50=0.05n+0.25q or q=n+8) and solve.

We now know that Rafael had 13 quarters.

To check, just substitute our known values for our variables and solve.
If both sides of our equations are equal, then you know that you have
yourself a correct answer.

Happy math-ing :)
5 0
3 years ago
HELP PLEASE!! The following data shows the weight in ounces of 10 different bags of candy.
STatiana [176]

Answer:

C.

Mean= 4.9

Mean Absolute Deviation (MAD): 4.099173553719

Step-by-step explanation:

An outlier is a value that is very different from the other data in your data set. This can skew your results. As you can see, having outliers often has a significant effect on your mean and standard deviation. Because of this, we must take steps to remove outliers from our data sets.

outlier: 21

8 0
3 years ago
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