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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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natural numbers will ____ be whole numbers. Integers will ___ be natural numbers. Irrational numbers will ___ be real numbers. R
NARA [144]

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dimaraw [331]

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5 0
3 years ago
A cosmetics company makes three batches of a nail polish color called Purple Dusk using the recipe shown.
Ivanshal [37]

Answer:

Batch 1:- Red 2  ounces     Blue 1 1/2 ounces

Batch 2:-  Red 3     White  3 3/4 ounces.

Batch 3:- White  4 1/6      Blue  2 1/2 ounces.

Step-by-step explanation:

Batch 1

Amount of the white paint = 5/12 of the batch = 2 1/2  or 5/2 ounces.

5/12 is equivalent to 5/2 ounces of white paint.

1/12   ......................... 5/2 / 5 =  5/10 = 1/2 ounce.

Red paint.

!/3 of the product contains red paint which is 4/12 so this is 4 times 1/12 = 4 * 1/2 ounce   = 2 ounces of red paint.

Blue paint.

Similarly to the above amount of blue paint =  1/4 =3/12

= 3 * 1/2 = 1 1/2 ounces of  blue paint.

Batch 2.

We can calculate the missing quantities in a similar way to Batch 1.

Blue Paint =  3/12 of the product  = 2 1/4 ( = 9/4) ounces  so

1 /12 =

9/4 * 1/3 =  9/12 = 3/4 ounce

Red Paint:-  1/12 is equivalent to 3/4 ounce so

Amount of red paint = 4 * 3/4 = 3 ounces  (answer)

White paint = 5 * 3/4 =  15/4 = 3 3/4 ounces (answer)

Batch 3.

Red paint = 3 1/3 ounces is equivalent to  4/12 of the product.

So 1/12 = 10/3  / 4 = 10/12 = 5/6 ounces.

White paint = 5/6 * 5 = 4 1/6 ounces.

Blue paint = 5/6 * 3 = 15/6 = 2 1/2  ounces.




3 0
3 years ago
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