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3 years ago

9

What is the answer to this

1 answer:

skad [1K]3 years ago

8 0

The answer is 10 because 5 and 5 is 10

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HURRY WILL MARK BRAINLIEST .Diana is training for a marathon. The total miles she runs varies from week to week but follows the

vladimir1956 [14]

Answer:

she could run 6 on mounday

Step-by-step explanation:

3 0

3 years ago

Calculate the length of AB. *

arsen [322]

Answer:

the answer will be 9.6 cm

4 0

3 years ago

the height h(t) of a trianle is increasing at 2.5 cm/min, while it's area A(t) is also increasing at 4.7 cm2/min. at what rate i

nekit [7.7K]

Answer:

The base of the triangle decreases at a rate of 2.262 centimeters per minute.

Step-by-step explanation:

From Geometry we understand that area of triangle is determined by the following expression:

$A = \frac{1}{2}\cdot b\cdot h$ (Eq. 1)

Where:

$A$ - Area of the triangle, measured in square centimeters.

$b$ - Base of the triangle, measured in centimeters.

$h$ - Height of the triangle, measured in centimeters.

By Differential Calculus we deduce an expression for the rate of change of the area in time:

$\frac{dA}{dt} = \frac{1}{2}\cdot \frac{db}{dt}\cdot h + \frac{1}{2}\cdot b \cdot \frac{dh}{dt}$ (Eq. 2)

Where:

$\frac{dA}{dt}$ - Rate of change of area in time, measured in square centimeters per minute.

$\frac{db}{dt}$ - Rate of change of base in time, measured in centimeters per minute.

$\frac{dh}{dt}$ - Rate of change of height in time, measured in centimeters per minute.

Now we clear the rate of change of base in time within (Eq, 2):

$\frac{1}{2}\cdot\frac{db}{dt}\cdot h = \frac{dA}{dt}-\frac{1}{2}\cdot b\cdot \frac{dh}{dt}$

$\frac{db}{dt} = \frac{2}{h}\cdot \frac{dA}{dt} -\frac{b}{h}\cdot \frac{dh}{dt}$ (Eq. 3)

The base of the triangle can be found clearing respective variable within (Eq. 1):

$b = \frac{2\cdot A}{h}$

If we know that $A = 130\,cm^{2}$ , $h = 15\,cm$ , $\frac{dh}{dt} = 2.5\,\frac{cm}{min}$ and $\frac{dA}{dt} = 4.7\,\frac{cm^{2}}{min}$ , the rate of change of the base of the triangle in time is:

$b = \frac{2\cdot (130\,cm^{2})}{15\,cm}$

$b = 17.333\,cm$

$\frac{db}{dt} = \left(\frac{2}{15\,cm}\right)\cdot \left(4.7\,\frac{cm^{2}}{min} \right) -\left(\frac{17.333\,cm}{15\,cm} \right)\cdot \left(2.5\,\frac{cm}{min} \right)$

$\frac{db}{dt} = -2.262\,\frac{cm}{min}$

The base of the triangle decreases at a rate of 2.262 centimeters per minute.

6 0

3 years ago

Please help with this thank you

RUDIKE [14]

1/4 is 25 percent so it is still 40.00

6 0

2 years ago

AN SOMEONE PLEASE HELP ME SOLVE THIS!!

stepan [7]

A) Scale factor:

Divide 2 congruent sides:

24 / 36 = 0.667

From PQR to XYZ is a 0.667 (2/3 as a fraction) scale factor.

B) Volume = (1/2 x base x side) x height:

Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.

C) Find the height of the prism:

7776 = (1/2 * base * sides) x height

7776 = (1/2 x 36 x 48) * height

7776 = 864 * height

Height = 7776 / 864 = 9 inches.

The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.

Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.

3 0

3 years ago