All categories

3 years ago

Mrs. Giuntini’s lawn is triangleshaped with a base of 25 feet and a

Mathematics

1 answer:

LenaWriter [7]3 years ago

4 0

Answer:

Step-by-step explanation:

1/2*(base)*height

= 1/2* 25 * 10

= 75x^{2}

You might be interested in

The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s. At

o-na [289]

Answer:

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

Step-by-step explanation:

Volume of a right circular cone:

The volume of a right circular cone, with radius r and height h, is given by the following formula:

$V = \frac{1}{3} \pi r^2h$

Implicit derivation:

To solve this question, we have to apply implicit derivation, derivating the variables V, r and h with regard to t. So

$\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)$

Radius is 107 in. and the height is 151 in.

This means that $r = 107, h = 151$

The radius of a right circular cone is increasing at a rate of 1.1 in/s while its height is decreasing at a rate of 2.6 in/s.

This means that $\frac{dr}{dt} = 1.1, \frac{dh}{dt} = -2.6$

At what rate is the volume of the cone changing when the radius is 107 in. and the height is 151 in.

This is $\frac{dV}{dt}$ . So

$\frac{dV}{dt} = \frac{1}{3}\left(2rh\frac{dr}{dt} + r^2\frac{dh}{dt}\right)$

$\frac{dV}{dt} = \frac{1}{3}(2(107)(151)(1.1) + (107)^2(-2.6))$

$\frac{dV}{dt} = \frac{2(107)(151)(1.1) - (107)^2(2.6)}{3}$

$\frac{dV}{dt} = 1926$

Positive, so increasing.

The volume of the cone is increasing at a rate of 1926 cubic inches per second.

8 0

3 years ago

Marita orders 12 yards of material to make banners. if she needs 1 foot of fabric for each banner, how many banners can she make

Pie

12 yards = 12 x 3 = 36 feet

1 foot = 1 banner.
36 feet = 36 banners.

------------------------------------------------
Answer: 36 banners
------------------------------------------------

4 0

3 years ago

Which is true about rigid transformations and circles?

aliina [53]

A circle shape is persevered regardless of any rigid transformation

5 0

3 years ago

Read 2 more answers

Troy shares a family bag of 24 Jet Plane

nlexa [21]

Answer:

Troy ate 7 lollies.

Step-by-step explanation:

You start out by finding how many lollies Troy's two friends ate out of the 24 lollies. To find out how much Tane ate out of the 24 Jet Plane lollies you simply divide 24 by the denominator --> 24/3=8, then you multiply your answer by the numerator --> 8x1=8, so Tane ate 8 of the 24 lollies. Repeat this same process for Levi, and your answer should be 9.

Because Tane ate 8 out of the 24 lollies and Levi ate 9 out of the 24 lollies, that indicates that 17 out of the 24 lollies are gone (just add your results, 8+9=17). This leaves Troy with only 7 lollies (subtract 17 from 24 to find out how many lollies are left, 24-17=7).

4 0

3 years ago

Read 2 more answers

Gail had $5,500 that she wants to put in a new savings account. She is considering two banks that are very similar. One differen

Studentka2010 [4]

Answer:

so sorry

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers