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lara [203]
2 years ago
15

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Pythagorean theorem )

Mathematics
1 answer:
vlabodo [156]2 years ago
8 0

Step-by-step explanation:

The Pythagorean theorem is:

{c}^{2}  =  {a}^{2}  +  {b}^{2}

where c is the hypotenuse.

The two wires in the sketch are the hypotenuse so we just use the formula

let the wires=x

So:

{x}^{2}  =  {12}^{2}  +  {6}^{2}

{x}^{2}  = 144 + 36

{x}^{2}  = 180

x =  \sqrt{180}

x = 13.42 feet

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How to solve 42=3(2-3h)
faust18 [17]

Answer:

h= -4.

Step-by-step explanation:

42= 6-9h

42-6=-9h

36=-9h

36/-9= -9h

-4=h

5 0
3 years ago
Solve for x in the equation C = 8.5x + 6y. Show all work.
GarryVolchara [31]
C = 8.5x + 6y

Rearrange the equation by making the side with x, be on the Left Hand Side (LHS)

8.5x + 6y = C

Subtract 6y from both sides of the equation

8.5x + 6y - 6y = C - 6y

8.5x = C - 6y

Divide both sides of the equation by 8.5

(8.5x/8.5) = (C - 6y)/8.5

x =  (C - 6y)/8.5

I hope this helped.
7 0
3 years ago
Trevor season 8 red birds. He sees 5 more red birds than bluebirds. How many bluebirds does Trevor see?
aliya0001 [1]

Answer:

3 blue birds

Step-by-step explanation:

8-5=3

7 0
3 years ago
Which statement regarding the diagram is true?
choli [55]

Answer:

m∠KML+m∠MLK=m∠JKM

m∠KML+m∠MLK=m∠JKM

Step-by-step explanation:

we know that

The sum of the interior angles of triangle must be equal to 180 degrees

m∠KML+m∠MLK+m∠MKL=180° -----> equation A

m∠JKM+m∠MKL=180° -----> by supplementary angles (form a linear pair)

m∠MKL=180°-m∠JKM ----> equation B

substitute equation B in equation A

m∠KML+m∠MLK+(180°-m∠JKM)=180°

m∠KML+m∠MLK=m∠JKM

Read more on Brainly.com - brainly.com/question/13467773#readmore

8 0
3 years ago
Read 2 more answers
A shop owner spent $540 to purchase a stock of computer keyboards. If the price of each keyboard had been reduced by $2, he coul
AURORKA [14]

Answer:

Price before discount = $20 per keyboard

Price after discount = $18 per keyboard

Before the discount, you can buy 27 keyboards. After the discount, you can buy 30 keyboards.

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

Work Shown:

k = cost of one keyboard before the price reduction

540/k = amount of keyboards purchased before the price reduction

k-2 = cost of one keyboard after the price reduction

540/(k-2) =  amount of keyboards purchased after the price reduction

540/(k-2) = (540/k) + 3

--------------

If you multiply both sides by the LCM k(k-2), then you'll clear out the fractions and we can solve for k like so

540/(k-2) = (540/k) + 3

540k = 540(k-2) + 3k(k-2)

540k = 540k - 1080 + 3k^2 - 6k

0 = 540k - 1080 + 3k^2 - 6k - 540k

0 = 3k^2 - 6k - 1080

3k^2 - 6k - 1080 = 0

3(k^2 - 2k - 360) = 0

k^2 - 2k - 360 = 0

(k - 20)(k + 18) = 0

k-20 = 0 or k+18 = 0

k = 20 or k = -18

We ignore the negative result because a negative price doesn't make sense.

--------------

If k = 20, then

540/k = 540/20 = 27

Meaning that you can buy 27 keyboards before the price reduction

In other words, (27 keyboards)*(20 dollars per keyboard) = 540 dollars total.

After the price reduction, the cost per keyboard is now k-2 = 20-2 = 18

We can now buy 540/(k-2) = 540/18 = 30 keyboards, which is an increase of 30-27 = 3 extra keyboards. This helps confirm we have the correct answer.  

3 0
3 years ago
Read 2 more answers
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