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Mademuasel [1]
3 years ago
8

In rhombus ABCD, AB=14 and AC=19. Find the area of the rhombus to the nearest tenth. A 190.7 B 228.3 C 195.4 D 179.8

Mathematics
1 answer:
kkurt [141]3 years ago
6 0

Answer:

C

Step-by-step explanation:

The triangle ABC has two sides that are 14 and 1 side that is 19. We can use Heron's formula to Calculate ABC.

s = (a + b + c)/2

s = (14 + 14 + 19)/2 = 23.5

s - a = 23.5 - 14 = 9.5

s - b = 23.5 - 14 = 9.5

s - c = 23.5 - 19 = 4.5

=================

Area = sqrt(s * (s - a) * (s - b) * (s - c) )

Area = sqrt(23.5 * 9.5 * 9.5 * 4.5)

Area = sqrt(9543,9)

Area = 97.69

But ABC is only 1/2 the rhombus. The area is twice that amount.

Area = 2 * 97.69 = 195.4

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V<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%2A%202%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{3}{4} * 2
myrzilka [38]

Answer:

1\frac{3}{4}

Step-by-step explanation:

In order to find the answer, you first need to convert the mixed number (2 1/3) into a improper fraction and then multiply.

\frac{3}{4} \times2\frac{1}{3}

2\frac{1}{3} =3\times2=6+1=7=\frac{7}{3}

\frac{3}{4} \times\frac{7}{3}

3\times7=21

4\times3=12

=\frac{21}{12} =\frac{7}{4} =1\frac{3}{4}

=1\frac{3}{4}

Hope this helps.

7 0
3 years ago
If a = 2 and b = -3, find the value of a3 - b2. <br> A.-31<br> B.-23<br> C.-1<br> D.15
valentinak56 [21]

Hello!

So let's first start out by solving the left side of the equation:

2 to the third power is 8

The right side now: -3 to the second power is -9

In total: 8- (-9)

So your answer is C) -1

I hope it helps!

3 0
3 years ago
Read 2 more answers
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yanalaym [24]

Answer:

Hold on a sec i cant remember

3 0
3 years ago
What is the volume of the prism?<br><br> --- m3
Pachacha [2.7K]

Answer:

672

Step-by-step explanation:

Formula is length times width times height

14 x 8 = 112

112 x 6 = 672

7 0
3 years ago
Read 2 more answers
The product of a number and the difference of the number and 5
tatiyna
X(x-5)
this is because product is multiplcation and difference is subtraction. The multiplication of a subtraction problem is distribution

6 0
3 years ago
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