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3 years ago

For each problem, find the missing value using the Pythagorean Theorem

Mathematics

1 answer:

aniked [119]3 years ago

3 0

Answer: $\sqrt{66}$

Step-by-step explanation:

The Pythagorean Theorem says that a^2 + b^2 = c^2 where a and b are the two legs.

In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.

4^2 + $\sqrt{50} ^2$ = C^2

16 + 50 = c^2

66 = c^2

c = $\sqrt{66}$

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What is the characteristic of a Matrix Null:

Kryger [21]

The characteristic of a Null Matrix is :

A)All elements are = 0

C)First row = 0

D)First Column = 0

Step-by-step explanation:

Here we have , to tell which of the following are the characteristic of the null matrix :

Null Matrix : A null matrix is a matrix whose every element is zero ! for Example - $\left[\begin{array}{ccc}0&0&0\\0&0&0\\0&0&0\end{array}\right]$ is a 3×3 matrix , i.e. 3 rows & 3 columns .

A)All elements are = 0

Yes, All elements of a Null matrix are equal to 0 .

B)All elements are negative

No , not even a single matrix entry is negative .

C)First row = 0

Yes, First row is equal to zero!

D)First Column = 0

Yes, First column is equal to zero!

3 0

3 years ago

A shirt with marked price Rs 1000 was sold to a customer for Rs 900. find the percentage of decrease

snow_tiger [21]

Answer:

10%

Step-by-step explanation:

Marked price of the shirt = Rs 1000

Sale price = Rs 900

Decease = (1000 - 900) Rs

= Rs 100

% decrease = decrease /marked price x 100%

That’s 100/1000 x 100%

0.1 x 100

10%

8 0

3 years ago

The ratio of boys to girls at the beach cleanup was 7.8. If there are 42 boys how many girls are there?

Mars2501 [29]

If the ratio is 7:8, and the number of boys is 42, you would do 42 divided by 7, which equals 6. Then you do 8 times 6, and that's equal to 48. So the ratio is 42:48, with an amount of 48 girls.

8 0

3 years ago

Read 2 more answers

Joanna buys a table and 2 chairs. She receives a 25% discount for being a preferred customer and then pays 6% sales tax on the d

Scrat [10]

The total purchase price is $ 357.75

Solution:

Joanna buys a table and 2 chairs

Cost of table = $ 250

Cost of 1 chair = $ 100

Therefore, cost of a table and 2 chairs = 250 + 2(100) = 450

Thus, cost price = $ 450

She receives a 25% discount for being a preferred customer

Therefore, discount = 25 % of cost price

$discount = 25 \% \times 450\\\\discount = \frac{25}{100} \times 450\\\\discount = 0.25 \times 450 = 112.5$

Thus, amount after discount = cost price - discount

amount after discount = 450 - 112.5 = 337.5

Thus, amount after discount is $ 337.5

Then pays 6% sales tax on the discounted purchase price

Sales tax = 6 % of 337.5

$sales\ tax = 6 \% \times 337.5\\\\sales\ tax = \frac{6}{100} \times 337.5\\\\sales\ tax = 20.25$

Thus, total purchase price is given as:

total purchase price = Amount after discount + sales tax

total purchase price = 337.5 + 20.25 = 357.75

Thus total purchase price is $ 357.75

4 0

3 years ago

What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? −4 −2 2 4

Svet_ta [14]

Answer:

-2

Step-by-step explanation:

3n+2n+4=9n+12

5n+4=9n+12

5n-9n=-4+12

-4n=8

n=8/-4

n= -2

3 0

3 years ago