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DedPeter [7]
3 years ago
14

Look at this triangle. B 8 cm A 22 cm Work out length AB.

Mathematics
1 answer:
brilliants [131]3 years ago
7 0

Answer:

23.41cm

Step-by-step explanation:

Using Pythagoras theorem

a²+b² = c²

Where a and b are sides of the triangle and c is the Hypotenuse.

If we substitute the values

B= 8 cm

A= 22 cm

22²+8² = c²

484 + 64= c²

√548 = c

C= 23.41

Hence, length AB is 23.41cm

CHECK THE ATTACHMENT

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Is 5 + 3x1 - x) equivalent to 8 – 8x?
nalin [4]

Answer:

no

Step-by-step explanation:

5+3x is equal to 8x.

if there is no number in front of a variable, it is understood to be a one. so 1-x would basically be 1-1. this cancels out the x, making it impossible for the equivalent equation to be 8 - 8x

3 0
3 years ago
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
3 years ago
What are the main properties of a parallelogram? <br><br> use the parallelogram (ABEF) to help you
Feliz [49]

Answer:

It must be number 2.

1 and 3 number is wrong as parallelogram don't need have right angle

4 0
3 years ago
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Fifty percent of a number is more than 12 less than twice that number
horsena [70]
Divide it maybe like 50/100?
4 0
4 years ago
5.3 liters to milliters​
Dominik [7]

Answer:

5300 milliliters​

Step-by-step explanation:

7 0
3 years ago
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