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3 years ago

Why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet ?

Mathematics

2 answers:

Delvig [45]3 years ago

8 0

Answer:

the answer is C

Step-by-step explanation:

dlinn [17]3 years ago

5 0

C) is the correct answer

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What is the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve y = 27 − x^2? show your

LUCKY_DIMON [66]

Answer:

Option B.

Step-by-step explanation:

The given curve is

$y=27-x^2$

We need to find the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve $y=27-x^2$ .

Let the vertex in quadrant I be (x,y), then the vertex in quadrant II is (-x,y) .

Length of the rectangle = 2x

Width of the rectangle = y

Area of a rectangle is

$Area=Length\times width$

$Area=2x\times y$

Substitute the value of y from the given equation.

$Area=2x(27-x^2)$

$A=54x-2x^3$ .... (1)

Differentiate with respect to x.

$\frac{dA}{dx}=54-6x^2$

Equate $\frac{dA}{dx}=0$ , to find the critical points.

$0=54-6x^2$

$6x^2=54$

Divide both sides by 6.

$x^2=9$

$x=\pm 3$

The value of x can not be negative because side length can not be negative.

Substitute x=3 in equation (1).

$A=54(3)-2(3)^3$

$A=162-54$

$A=108$

The area of the largest rectangle is 108 square units.

Therefore, the correct option is B.

7 0

3 years ago

A mallard duck has 13 ducklings, five of the ducklings are male, what is the ratio of male to female ducklings ?

hodyreva [135]

Answer:

5:8 Ducklings

7 0

3 years ago

Read 2 more answers

The area of a circle, in terms of

ch4aika [34]

Answer:

30m

Step-by-step explanation:

A=πr²

225π=πr²

225=r²

r=√225

r=15

d=2r

d=2×15

=30m

3 0

3 years ago

What is the length x of PQ

Bas_tet [7]

Answer:

11.2

Step-by-step explanation:

If the rectangulars are similar then we can use similarity ratio to calculate value of x

CD is similar to RS and AB is similar to QP

4/6.4 = 7/x cross multiply expressions

4x = 44.8 divide both sides by 4

x = 11.2

6 0

3 years ago

Will mark brainliest Which table of ordered pairs represents a proportional relationship?

Flauer [41]

Answer:

2y = x, which is a proportional relationship.

Step-by-step explanation:

See the table attached.

The table gives the ordered pair represents a proportional relationship.

Take at least two pairs of the value of x and y.

Let they are (6,3) and (10,5).

Now, the equation for the straight line passing through the two points is given by

$\frac{y - 5}{5 - 3} = \frac{x - 10}{10 - 6}$

⇒ 2(y - 5) = x - 10

⇒ 2y - 10 = x - 10

⇒ 2y = x

Hence, we can write x ∝ y and the constant of proportionality is 2. (Answer)

4 0

4 years ago