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weqwewe [10]
3 years ago
12

10 POITNTS FOR CORRECT ANSWER!! find perimeter of shape to nearest tenth cm

Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
6 0

use sin to sing the other side (8.5) and then do 8.5+8.5+12+12=41

xxTIMURxx [149]3 years ago
5 0

Answer:

The perimeter of the shape is 41.0 cm

Step-by-step explanation:

We know that both the bottom base and the top base are 12 cm.

We can separate this shape into two congruent triangles and one square.

We can also know that the angle of the other side of the triangle is 45° as

180-45=45

As each of these triangles are isosceles triangles, the length of the lower side is 6 cm as well.

This means by using the Pythagorean theorem we can find the length of the hypotenuse of this triangle.

a^2+b^2=c^2\\\\c=\sqrt{a^2+b^2} \\\\c=\sqrt{6^2+6^2}\\\\c=\sqrt{36+36}\\\\c=\sqrt{72}

The base of the triangle is 6 cm, so we can find the length of the base of the square by finding the difference of 12 and 6, which is 6.

This means that the equation for the perimeter would be

6+6+\sqrt{72} +6+6+\sqrt{72} \\\\24+2\sqrt{72} =40.970\\\\41.0

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A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen
kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for ​$282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of ​$333.00

10x + 15y = 333

and we have the linear system

<em>8x + 13y = 282.60 </em>

<em>10x + 15y = 333 </em>

which can be written in matrix form as

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)

The solution would be given by

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)

We have  

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)

hence

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0
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Answer:

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Step-by-step explanation:

1  1/4 +1 1/5 +7/8= 3  13/40

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Answer:

the correct answer is....

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Step-by-step explanation:

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