Using complete sentences, explain the key features of the graph of the sine function.

For a science class, Sweet T counts clusters of bacteria growing in two Petri dishes. He records his findings as a linear functi

Pachacha [2.7K]

Answer:

dish A has a greater rate of change

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How many quarts are in 7 liters???

arsen [322]

7.39682 is the answer since one liter is equal to 1.05669 quarts
1.05669 x 7 = 7.39682
therefore, the answer is 7.39682

6 0

4 years ago

Write down five million four thousand three hundread in standard form

chubhunter [2.5K]

the answer is 5,004,300

5 0

3 years ago

Cone A has a height of 3 meters and a radius of 2 meters. Cone B has the same radius, but the height is 6 meters. Calculate the

tiny-mole [99]

The volume of cone B is twice the volume of cone A.

Explanation:
For cone A,
Radius (r)= 2m
Height (h) = 3m
Volume of cone A (V1) = 1/3 Pi r^2 *h
=1/3 * 22/7 * 2^2 *3
=264/21
=88/7
=12.571,,

For cone B,
r= 2m
h= 6m
Volume of cone B (V2) = 1/3 Pi r^2*h
=1/3 * 22/7 * 2^2 * 6
=528/21
=176/7
=25.142,,

It is seen that,
V2= 2*V1
25.142 = 2*12.571
25.142 = 25.142, which is true.

3 0

3 years ago

Help 80 points A concrete planter is formed from a square-based pyramid that was inverted and placed

Rufina [12.5K]

Answer:

The slant height of the pyramid refers to the height of a face of the pyramid.

Notice that each slant height forms a right triangle like the image attached shows, where the hypothenuse is the slant height. Additionally, the bottom leg is 1 yard, because is half of the base side, and the other leg is 2 yard. Using Pythagorean's Theorem, we have

$h^{2} =1^{2} +2^{2} \\h=\sqrt{1+4}=\sqrt{5}$

Therefore, the slant height is the square root of 5 yard.

The surface area of the composite figure is the sum of the surface area of both volumes.

<h3>Surface area of the cube.</h3>

$S_{cube}=5(2yd)^{2} =20 yd^{2}$

Notice that we only included 5 faces of the cube, that is because the sixth is the base of the pyramid, so if we include it here, we would have the wrong total surface area.

<h3>Surface area of the pyramid.</h3>

$S_{pyramid}=\frac{1}{2}pl$

Where $p$ is the perimeter of the base and $l$ is the slant height.

$S_{pyramid}=\frac{1}{2}(8yd)(\sqrt{5}yd )=4\sqrt{5}yd ^{2}$

Therefore, the surface od the composite figure is

$S_{total}=20yd^{2} +4\sqrt{5} yd^{2} \approx 29.94 yd^{2}$

To find the cubic yards of concrete, we need to subtract the volume of the figures, because the concrete would be inside the space between the cube and the pyramid.

$V_{concrete}=V_{cube} -V_{pyramid}=l^{3}- \frac{1}{3}l^{2}h$

Where $l=2yd$ and $h=2yd$

$V_{concrete}=2^{3}-\frac{1}{3}(2)^{2} (2)=8-\frac{8}{3} \approx 5.33 yd^{3}$

Therefore, it would be needed 5.33 cubic yards of concrete to make the planter.

8 0

3 years ago