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otez555 [7]
3 years ago
9

I would like to know this question and can you show your work to so I can understand

Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

162

Step-by-step explanation:

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

a=base and the base is 13 ft.

b= also means base which is 23 ft.

h= height which is 9 ft.

so 13+23 is 36

36/2 is 18

and 18 times 9 is 162

sorry for the lengthy answer but i hope this helps :) have a nice day !!

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Given that tan2theta=3/8,what is the value of sec theta
frez [133]
There's an identity 

sec^2 x = 1 + tan^2 x

so here we have

sec^2 theta = 1 + (3/8)^2 =  73/64

sec theta =  sqrt 73 / 8  or  1.068 to nearest thousandth
4 0
3 years ago
If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime?
Sergio [31]

Answer:

\overline {R'S'}  = 3 {\overline {RS} }

Step-by-step explanation:

The scale factor of dilation of triangle ΔOPQ, S.F. = 3

The center of dilation = Point <em>Q</em>

Therefore;

The length of the segment, {\overline {S'Q'} } = 3 × The length of the segment, {\overline {SQ} }

Similarly;

The length of the segment, {\overline {R'Q'} } = 3 × The length of the segment, {\overline {RQ} }

By Pythagoras theorem, we have;

{\overline {R'Q'} }^2 = {\overline {R'S'} }^2 + {\overline {S'Q'} }^2

Therefore;

{\overline {R'S'} }^2  = {\overline {R'Q'} }^2  - {\overline {S'Q'} }^2 = \left ({3 \times \overline {RQ} } \right) ^2  - \left (3 \times {\overline {SQ} } \right) ^2 = 9 \times \left (\overline {RQ} }  ^2  -  {\overline {SQ} } ^2 \right) = 9 \times  {\overline {RS} }^2

\therefore \sqrt{  {\overline {R'S'} }^2} =  \sqrt{ 9 \times  {\overline {RS} }^2}= 3 \times  {\overline {RS} }

\overline {R'S'}  = 3 \times  {\overline {RS} }.

6 0
3 years ago
2x³-8=0<br> How do I solve this problem ?
wlad13 [49]

Answer:

x=2^{\frac{2}{3}}

Step-by-step explanation:

1) Add 8 to both sides.

<em />2x^3=8

2) Divide both sides by 2.

x^3=\frac{8}{2}

3) Simplify \frac{8}{2} to 4.

x^3=4

4) Take the cube root of both sides.

x=\sqrt[3]{4}

5) Rewrite 4 as 2².

x=\sqrt[3]{2^2}

6) Use this rule: {({x}^{a})}^{b}={x}^{ab}.

x=2^{\frac{2}{3}}

Decimal Form: 1.587401

__________________________________________

Check the answer:

2x^3-8=0

1) Let x=2^\frac{2}{3}.

2(2^{\frac{2}{3} })-8=0

2) Use this rule: (x^a)^b=x^{ab}.

2\times2^{\frac{2\times3}{3} } -8=0

3) Simplify 2 * 3 to 6.

2\times2^{\frac{6}{3} } - 8  =0

4) Simplify 6/3 to 2.

2\times2^2-8=0

5) Use Product Rule: x^ax^b=x^{a+b}.

2^3-8=0

6) Simplify 2^3 to 8.

8 - 8 = 0

7) Simplify 8 - 8 to 0.

0 = 0

Thank you,

Eddie

5 0
1 year ago
Which of the following controls what enters or exits a cell?
zzz [600]

Answer:

The cell membrane

Step-by-step explanation:

The function of the cell membrane is to regulate what forgien substances come in and out of the cell.

7 0
3 years ago
How many eights make a half
evablogger [386]

Answer:

Four, because 4/8 = 1/2 There are obviously 8 1/8ths in a whole so half of that amount is obviously 4 1/8ths.

Step-by-step explanation:

Gave above.

7 0
3 years ago
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