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wariber [46]
1 year ago
11

Find the area round to two decimal places as needed

Mathematics
1 answer:
Mademuasel [1]1 year ago
3 0

To find the area of an obtuse triangle you have to multiply the base of the triangle by the vertical height and divide the result by 2 following the formula:

A=\frac{b\cdot h}{2}

The base of the triangle is b= 7 miles and the height is h= 8 miles, using these lengths calculate the area as follows:

\begin{gathered} A=\frac{7\cdot8}{2} \\ A=\frac{56}{2} \\ A=28mi^2 \end{gathered}

The area of the triangle is 28 square miles.

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Vince has a rectangular rug in his room with an area of 10 ft the length of the rug is 18 inches longer than the width what coul
aev [14]

The length of the rug is 4 ft.

The width of the rug is 2.5 ft.

Explanation:

The area of the rug is 10 ft.

The length of the rug be l.

Let us convert the inches to feet.

Thus, 18 inches =  1.5 ft

Thus, the length of the rug is l=1.5+w

Let the width of the rug be w.

Substituting these values in the formula of area of the rectangle, we get,

A=length\times width

10=(1.5+w)(w)\\10=1.5w+w^2\\w^2+1.5w-10=0

Solving the expression using the quadratic formula,

$w=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substituting the values, we have,

$w=\frac{-15 \pm \sqrt{15^{2}-4 \cdot 10(-100)}}{2 \cdot 10}\\

$w=\frac{-15 \pm \sqrt{4225}}{20}$

$w=\frac{-15 \pm 65}{2 0}$

Thus,

w=\frac{-15 + 65}{2 0}\\w=\frac{50}{20} \\w=2.5  and   w=\frac{-15 - 65}{2 0}\\w=\frac{-80}{20} \\w=-4

Since, the value of w cannot be negative, the value of w is 2.5ft

Thus, the width of the rug is 2.5ft

Substituting w=2.5 in l=1.5+w, we get,

l=1.5+2.5\\l=4

Thus, the length of the rug is 4 ft.

4 0
3 years ago
Write an expression with the value of 12.It should contain four numbers and two different operations
Nady [450]
8-2+(12÷2)

Hope this helps :)
5 0
3 years ago
Read 2 more answers
Juan is 4 feet tall. Marina is 52 inches tall.who is taller? explain your awnser.
mariarad [96]
Marina is taller because since Juan is 4 feet, he is 48 inches tall and Marina is 52 inches tall so Marina is taller than Juan.
6 0
3 years ago
Read 2 more answers
Shawn drew a rectangle that had a width of 4.2 inches and a length of 8.1 inches. Find the perimeter of Shawn's rectangle
MArishka [77]

Answer: 24.6 inches


Step-by-step explanation: Since it's a rectangle, and not a rectangular prism, that means it's 2D. Length is the long sides on the top and bottom, and width is the shorter sides on it's left and right. So since there's two of each, just do 8.1 + 8.1 + 4.2 + 4.2 and you have your answer!


3 0
3 years ago
Select the correct answer. Which expression is equivalent to this polynomial? 15x − 24 A. 5(3x − 8) B. 3(5x − 5) C. 3(5x − 24) D
Scilla [17]

15x-24

the answer is not B because 3*-5= -15, we need -24

the answer is not C because 3*-24= -72

the answer is not A because 5*8= 40

Answer :

D. 3(5x − 8)

(3)(5x)(3)(-8)

15x-24= 15x-24

6 0
3 years ago
Read 2 more answers
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