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ollegr [7]
3 years ago
15

Can someone help me find the missing height?

Mathematics
1 answer:
KiRa [710]3 years ago
3 0
<h2>Solution :</h2>

Area = 30 units²

Base = 5 units

Height = ? = Let it be -> x

Area (formula) = base×height = x×5 units= 30 units²

= x= 30/5 = 6 units

<h2>Thus , the height = 6 units</h2>
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A polygon is a closed shape with straight sides example. Square, rectangle etc.
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Find the length of the height of the right trapezoid shown below, if it has the greatest possible area and its perimeter is equa
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Answer:

The height of the right trapezoid is   \frac{6}{5+\sqrt{3}}\ units

Step-by-step explanation:

Let

x ----> the height of the right trapezoid in units

we know that

The perimeter of the figure is equal to

P=AB+BC+CD+DH+HA

we have

P=6\ units

AB=BC=CH=HA=x ---> because is a square

substitute

6=x+x+CD+DH+x

6=3x+CD+DH -----> equation A

<em>In the right triangle CDH</em>

sin(30\°)=\frac{CH}{CD}

sin(30\°)=\frac{1}{2}

so

Remember  that CH=x

\frac{1}{2}=\frac{x}{CD}

CD=2x

tan(30\°)=\frac{CH}{DH}

tan(30\°)=\frac{\sqrt{3}}{3}

so

\frac{\sqrt{3}}{3}=\frac{x}{DH}

DH=x\sqrt{3}

substitute the values in the equation A

6=3x+CD+DH -----> equation A

CD=2x

DH=x\sqrt{3}

6=3x+2x+x\sqrt{3}

6=5x+x\sqrt{3}

6=x[5+\sqrt{3}]

x=\frac{6}{5+\sqrt{3}}\ units

5 0
3 years ago
For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation c
ozzi
Carey earns c hourly
Anderson earns $6 hourly which is also 1+ c/2
So, 6=1+c/2
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3 0
3 years ago
Read 2 more answers
Question 1 Multiple Choice Worth 1 points)<br> (01.05 LC)<br> Solve for x: -7 &lt; X -1 &lt;8
devlian [24]

Answer:

-6 < x <9

Step-by-step explanation:

-7 < X -1 <8

Add 1 to all sides

-7+1 < X -1+1 <8+1

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6 0
3 years ago
Sam the scout is going on a camp out with his boy-scout troop. There are large tents that sleep 6 boys and small tents that slee
natita [175]

Answer:

There are 96 large tents and 60 small tents

Step-by-step explanation:

Here, we want to calculate the number of tents of each sizes there

Let the number of 6-boys tent be s and the number of 4-boys tent be f

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Ratio of large to small ( ratio of s to f)

8:5 = s/f

8/5 = s/f

8f = 5s

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Substitute ii into i

6s + 4(5s/8) = 816

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Multiply through by 2

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s = 1632/17

s = 96

f = 5s/8

f = (5 * 96)/8 = 60

5 0
3 years ago
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