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vekshin1
3 years ago
12

Please Help!

Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

c

Step-by-step explanation:

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The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of
RoseWind [281]

The length of longer base is 41 feet

<em><u>Solution:</u></em>

<em><u>The area of trapezoid is given as:</u></em>

A = \frac{a+b}{2} \times h

Where , "a" and "b" is the length of base and "h" is the height

The length of one base of a trapezoid is 19 less than five times the length of the other base

a = 19 less than fives times b

a = 5b - 19

Height of 18 feet and an area of 477 ft squared

h = 18 feet

area = 477 square feet

<em><u>Substitute the values in above formula</u></em>

477=\frac{5 b-19+b}{2} \times 18\\\\477=(6b-19) \times 9\\\\477 = 54b-171\\\\54b = 648\\\\b=12

Therefore,

a = 5b - 19 = 5(12) - 19 = 41

Thus length of longer base is 41 feet

5 0
3 years ago
Which expression is equivalent to 36^-1/2
inn [45]
ANSWER


( {36})^{ (-  \frac{1}{2}) }  =  \frac{1}{6}


EXPLANATION



The given expression is


{36}^{( -  \frac{1}{2} )}
This is having a negative index. We must first of all change to a positive index.


Recall that,



{a}^{ - m}  =  \frac{1}{ {a}^{m} }

We apply this law of exponents to get,



{36}^{( -  \frac{1}{2} )}  =  \frac{1}{ {36}^{(  \frac{1}{2} )} }

We cab rewrite the given expression to obtain;



{36}^{( -  \frac{1}{2} )}  =  \frac{1}{  \sqrt{36}  }

This will simplify to give us,


{36}^{( -  \frac{1}{2} )}  =  \frac{1}{  6 }


6 0
3 years ago
Read 2 more answers
What is 4sqrt16a^6b^12
ira [324]
16b^6 sqrt 6a would be the answer
6 0
4 years ago
The standard form of the equation of a parabola is y = 7x2 + 14x + 4.
Alex17521 [72]

The vertex form is y=7(x+1)^2-3

5 0
4 years ago
Find the value of x. Then find the measure of each interior angle. Show work algebraically
OleMash [197]

Answer:

Step-by-step explanation:

W=180-144

W=36 degrees

The sum of angles in a triangle always sum to 180 degrees.

6x+1+7x+36=180

13x+37=180

13x=143

x=11

U=6x+1

U=6(11)+1=67 degrees

V=7x

V=7(11)=77 degrees so

x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.

3 0
3 years ago
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