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4 years ago

One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg?

Mathematics

1 answer:

denis-greek [22]4 years ago

3 0

Answer:

about 7 units

Step-by-step explanation:

10 $10^{2} + b^{2} = 12^{2} \\100+b^{2} = 144 \\144- 100= 44\\=\sqrt{44} \\= 6.6\\round \\=7$

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Answer:

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3 years ago

The height, h, of a cylinder is 5 units less than 3 times its radius, r. which expressions represents the height of the cylinder

Helga [31]

Answer:

Step-by-step explanation:

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4 years ago

Factor completely 3x - 12. (1 point)

yarga [219]

Answer:

3(x - 4)

Step-by-step explanation:

Given

3x - 12 ← factor out 3 from each term

= 3(x - 4)

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3 years ago

Create a linear regression equation that can be used to model the amount of money in the account (the balance), y, based on the

Karolina [17]

The regression equation is $\^y = 1.56\^x + 1.29$ , and it will take 31 weeks to have $50.00

(a) The linear regression equation

To do this, we make use of a graphing calculator;

From the graphing calculator, we have the following calculation summary:

The sum of X = 45
The sum of Y = 83
Mean X = 4.5
Mean Y = 8.3
Sum of squares (SSX) = 82.5
Sum of products (SP) = 128.5

The regression equation is then represented as:

$\^y = b\^x + a$

Where:

$b = \frac{SP}{SSX}$ and $a = M_Y - bM_X$

So, we have:

$b = \frac{128.5}{82.5}$

$b = 1.55758$

Approximate

$b = 1.56$

$a= 8.3 - (1.56 \times 4.5)$

$a= 1.29091$

Approximate

$a= 1.29$

This means that, the regression equation is $\^y = 1.56\^x + 1.29$

(b) Predict the time to have $50.00

This means that:

$\^y = 50$

So, we have:

$50 = 1.56\^x + 1.29$

Subtract 1.29 from both sides

$48.71 = 1.56\^x$

Divide both sides by 1.56

$31.22 = \^x$

Rewrite as:

$\^x = 31.22$

Approximate

$\^x = 31$

Hence, it will take 31 weeks to have $50.00

Read more about linear regression models at:

brainly.com/question/14585820

8 0

2 years ago

Jack picked 10 ears of corn. He and two of his sisters ate two each. What is the amount of corn left represented as a

Burka [1]

ANSWER:

Jack picked 10 ears of corn. The amount of corn left is $\frac{2}{5}$ ears of initial corn.

SOLUTION:

Given, Jack picked 10 ears of corn.

Now the total corn present is 10 ears.

He and two of his sisters ate two each.

Then, remaining corn = 10 ears – eaten corn

= 10 – 2 (by him) – 2 (by his first sister) -2 (by his second sister)

= 10 – 6 = 4

Now, the amount of corn left in fraction is remaining corn divided by initial corn.

Left over corn = $\frac{remaining corn}{initial corn}$

$= \frac{4}{10} = \frac{2}{5}$

Hence, the amount of corn left is $\frac{2}{5}$ ears of initial corn.

5 0

4 years ago