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3 years ago

Can someone help?????

Mathematics

1 answer:

Leviafan [203]3 years ago

8 0

Find the area of the rectangle. 39 times 16=
624-pi (radius squared)
624-3.14 times 8 squared
624- 200.96
423.04 cm ^2

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See the picture below

mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}$

radius is given as 4, so,

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04$

Now, Volume of Cone = $\frac{1}{3}\pi r^2 h$

Where radius is 4 and height is 10, so,

Volume of Cone = $\frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55$

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = $2\pi r^2\\=2\pi (4)^2\\=100.53$

Surface Area of Cone = $\pi r^2+\pi rl$

We dont need to use the first part, $\pi r^2$ since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = $\pi rl\\=\pi (4)(10.77)\\=135.34$

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0

3 years ago

Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the un

Snowcat [4.5K]

Answer:

2nd car is running faster than the first car by 2.01 units.

Step-by-step explanation:

Let's assume that

the velocity of first car,

$v_1\ =\ 20i\ +\ 25j$

and the velocity of second car

$v_2\ =\ 30i$

=> speed of first car,

$u_1\ =\ \sqrt{(20)^2+(25)^2}$

$=\ \sqrt{400+625}$

$=\ \sqrt{1025}$

= 32.01 units

and speed of second car,

$u_2\ =\ \sqrt{(30)^2+(0)^2}$

= 30 units

$u_2\ -\ u_1\ =\ 32.01\ -30$

= 2.01 units

Hence, 2nd car is running faster than the first car by 2.01 units.

8 0

3 years ago

Which translation will change figure ABCD to figure A prime B’C’D’?

levacccp [35]

Answer:

gods plan by drake

Step-by-step explanation:

3 0

3 years ago

Four students decide to flip a coin a number of times and record their results. Dan flips his coin 5 times, Kelly flips her coin

Tcecarenko [31]

Answer:

Judah

Step-by-step explanation:

Because the more times you do the same thing over and over again then average it the more accurate it becomes

7 0

3 years ago

Evaluate x(-y + z) for x = 5, y = 9, and z = 1.

NemiM [27]

Answer:

-20

Step-by-step explanation:

x(-y+z) [Switch in the values]

=5(-5+1) [Use distributive property and multiply]

=(-25)+5 [do the basic math]

=(-20) [final answer]

6 0

3 years ago

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