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Whitepunk [10]
3 years ago
10

The longer diagonal of a right trapezoid is 13 cm. The longer base is 12 cm. Find the area of the trapezoid if the shorter base

is 8 cm.
Mathematics
1 answer:
topjm [15]3 years ago
5 0
Draw a diagram of a right trapezoid . 
<span>B ---------------- C </span>
<span>.| ............ ............ * </span>
<span>.| ............ ............ ..... * </span>
<span>A --------------- -------------- D </span>
<span>Longer diagnal BD = 13cm </span>
<span>Longer base AD = 12cm </span>
<span>Shorter base BC = 8cm </span>
<span>Angle A is 90° , so △BAD is a right triangle . </span>
<span>AB^2 + AD^2 = BD^2 </span>
<span>AB^2 + 12^2 = 13^2 </span>
<span>AB^2 + 144 = 169 </span>
<span>AB^2 = 25 </span>
<span>AB = 5 </span>
<span>So the area of trapezoid ABCD is (12+8)*5/2 = 50 [cm^2] .</span>
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Enter the fraction 33100 as a decimal
Mariulka [41]

Answer:

0.33

Step-by-step explanation:

If you have the number 1 and divide it by 100, you get 1/100, 0.01, or 1% of 1. If you multiply 1/100 by 33, you get 33/100, 0.33, or 33% of 1.

7 0
3 years ago
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Subtract. 5/1/10-2 9/10 Write your answer as a mixed number in simplest form.
Ahat [919]

Answer:

= 2 \frac{1}{5}

Step-by-step explanation:

5 \frac{1}{10}  - 2 \frac{9}{10}  \\  \frac{51}{10}  -  \frac{29}{10}  \\  =  \frac{22}{10}  \\  = 2 \frac{2}{10}  \\  = 2 \frac{1}{5}

hope this helps

brainliest appreciated

good luck! have a nice day!

8 0
3 years ago
What does this equal: 4 1/2 + 3 2/3=
professor190 [17]
4 1/2 + 3 2/3 = 8.16666667
8 0
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You were given the polynomial f(x)=3x^3+13x^2+19x+k and you know that f(-2)=0find k
eduard

Answer:

k = 10

Explanation:

The initial polynomial is:

f(x)=3x^3+13x^2+19x+k

If f(-2) = 0, then when we replace x by -2, the result will be 0. It means that we can write the following equation:

\begin{gathered} f(-2)=3(-2)^3+13(-2)^2+19(-2)+k=0 \\ 3(-2)^3+13(-2)^2+19(-2)+k=0 \end{gathered}

Therefore, we can solve for k as follows:

\begin{gathered} 3(-8)+13(4)+19(-2)+k=0 \\ -24+52-38+k=0 \\ -10+k=0 \\ -10+k+10=0+10 \\ k=10 \end{gathered}

So, the value of k is 10

6 0
1 year ago
Plz answer my question it is urgent..!!
oee [108]

Answer:

In the step-by-step explanation!

Step-by-step explanation:

Not sure if it is too late but here:

1.)

\frac{1}{\alpha}+\frac{1}{\beta} \\\frac{\beta}{\alpha \beta } +\frac{\alpha}{\alpha \beta } \\\frac{\alpha +\beta }{\alpha \beta }

2.)

\frac{1 }{\alpha } *\frac{1}{\beta} = \frac{1*1}{\alpha*\beta} =\frac{1}{\alpha \beta}

3.)

\frac{1}{\alpha}-\frac{1}{\beta}\\ \frac{\beta}{\alpha \beta } -\frac{\alpha }{\alpha \beta } \\\frac{\beta -\alpha }{\alpha \beta }

Hopes this help! Please give me Brainliest!

6 0
3 years ago
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