The hypotenuse of a right triangle is 26 feet long. One leg of the triangle is 14 feet longer than the other leg. Find the lengths of the legs of the triangle.

Answers

Answer 1

Answer: Let the shortest leg be x feet;
The other leg will be (x + 14) feet.

Using Pythagoras theorem;

x^2 +(x+14)^2 = 26^2

x^2 + x^2 +28x + 196 = 676

2x^2 + 28x - 480 = 0

x^2 + 14x - 240 = 0

x^2 +24x - 10x -240 = 0

x(x+24) - 10(x+24) = 0

(x+24)(x-10)= 0;

x=10;
x+14 = 24

Hence, the length of the legs are 10 feet and 24 feet.

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Can someone help me on this im confused.. -3x-10=32

Which statement defines the term markup?the extra amount added to the selling price to arrive at the cost price
the extra amount added to the cost price to arrive at the selling price
the extra amount added to the marginal cost to arrive at the selling price

Answers

In retail, a markup is a ratio. It is the extra amount added to the cost price to arrive at the selling price. Markup is generally expressed as a percentage, while the cost is a whole number.

Answer: Second option is correct.

Step-by-step explanation:

Markup is the extra amount added to the cost price to arrive at the selling price.

As in retail market , cost price is always marked up by the retailers to make some profit and cover overhead expenses.

So, Markup is that amount that is added to the cost price.

Discount is also given to that amount only, to increase his goodwill.

Hence, Second option is correct.

Calculate the loss on selling 50 shares of stock originally bought at 133/4 and sold at 12

Answers

The answer is $87.50. You buy 50 shares of stock for 13 3/4 each: 50 * (13 3/4) = 50 * (13 + 3/4) = 50 * (52/4 + 3/4) = 50 * 55/4 = $687.50. You sell 50 shares of stock for 12 each: 50 * 12 = $600.00. So, the loss on selling 50 shares of stock originally bought at 133/4 and sold at 12 is: $687.50 - $600.00 = $87.50.

Find the area of the circle. Round your answer to two decimal places, if necessary.

Answers

Final answer:

To find the area of a circle, use the formula A = πr^2. Identify the radius and substitute it into the formula to calculate the area. Round the answer to two decimal places if necessary.

Explanation:

To find the area of a circle, you can use the formula A = πr^2, where A represents the area and r represents the radius of the circle. Start by identifying the radius of the circle, which is the distance from the center to any point on the circumference. Once you have the radius, substitute its value into the formula and calculate the area. Make sure to round your answer to two decimal places if necessary. For example, if the radius of the circle is 5 units, the area would be A = 3.14 * 5^2 = 3.14 * 25 = 78.5 square units.

Learn more about Area of circle here:

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Answer: 200.96 cm

Step-by-step explanation:

Area of a circle: $A=\pi r^2$

Since we don't have the radius, we have to find it.

What you gave me is the diameter which is 16 (cm) I suppose.

Radius is half the diameter. Therefore we can divide the diameter by 2 to find the radius.

16/2=8cm

This is our radius.

Plug this into the area formula.

$A=\pi r^2\nA=(3.14)(8)^2\nA=200.96cm$

Simplify. All Variables represent (3√200)*(4√32)

Answers

$(3 √(200)) \cdot (4 √(32))=(3 √(100\cdot 2)) \cdot (4 √(16\cdot 2))=(3 \cdot √(100 )\cdot √(2)) \cdot (4 \cdot √(16 )\cdot √(2))=\n \n= ( 3 \cdot 10\cdot √(2)) \cdot (4\cdot 4\cdot √(2))= 3 \cdot 10 \cdot 4\cdot 4\cdot √(2) \cdot √(2)=480\cdot √(2\cdot 2)=\n \n=480\cdot √(4)=480\cdot 2=960$

First let's see what we got

$√(200)=√(100*2)=10√(2)$

and

$√(32)=√(2^5)=√(2^4*2)=4√(2)$

then

$(3√(200))*(4√(32))$

replacing

$3*(10√(2))*(4*4√(2))$

$30√(2)*16√(2)$

$480*√(2)*√(2)$

$480*2$

$\boxed{\boxed{960}}$

The vertices of a right triangle are (6, 2), (–2, –4), and (–2, y). What is the value of y?

A.
–4

B.
–2

C.
2

D.
4

Answers

The answer should be C. 2
:P hope this helps you

The value of y is C. 2.

(6, 2), (-2, -4), (-2, 2)

The volume of a box with a rectangular base is 3 072cm3.the length of the sides are in the ratio 1:2:3. Calculate the length of the shortest side.

Answers

(1) The volume of a box with a rectangular base is 3072 cm³...

X x Y x Z = 3072 cm³

(2) The length of the sides are in the ratio 1:2:3

This means that:

(X)*(2X)*(3X) = 3072 cm³

It also means that:

Y=2X

Z=3X

(3) Calculate the length of the shortest side...

(X)*(2X)*(3X) = 3072 cm³

6X³ = 3072 cm³

X³ = (3072 cm³)/6

X³ = 512 cm³

X = ∛(512 cm³)

X = 8 cm

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Answers:

Length of the shortest side (X): 8 cm

Length of the side (Y): 16 cm

Length of the side (Z): 24 cm

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