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3 years ago

Allies plant has a height of 6meters. Radon’s plant grows 3/10 meters higher. How high does radon’s plant grow

Mathematics

1 answer:

kow [346]3 years ago

7 0

The height of Radon plant is 6.3 meters

Solution:

Given that, Allies plant has a height of 6 meters

Radon’s plant grows $\frac{3}{10}$ meters higher

To find: Height of Radon plant

From given information,

Height of Allies plant = 6 meters

Height of radon plant = $\frac{3}{10}$ + Height of Allies plant

Substituting the known value,

$\text{ Height of radon plant} = \frac{3}{10} + 6\\\\\text{ Height of radon plant} = \frac{3+60}{10}\\\\\text{ Height of radon plant} = \frac{63}{10}\\\\\text{ Height of radon plant} = 6.3$

Thus Radon plant grows to height of 6.3 meters

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Mo has some sweets. He shares them out between x of his friends in 2 different wys. 7 sweets each with 2 leftover or 6 sweets ea

sveticcg [70]

Answer:

Mo is sharing the sweets between 5 friends

Step-by-step explanation:

An important thing to note is that whichever way Mo shares the sweets, the total number of sweets he has does not change. It means that if he chooses the first method to share the sweets, or the second method, he still has the same number of sweets. This will be helpful in setting up an equation that will help us solve the problem.

If he chooses the first way to share the sweets:

7x + 2 = total number of sweets available.

This is because each of his friends gets 7 sweets each, with 2 leftovers. If we add them up, it will give the total number of sweets available to be shared.

If he chooses the second way to share the sweets:

6x + 7 = total number of sweets available.

This is because each of his friends gets 6 sweets each, with 7 leftovers. If we add them up, it will give the total number of sweets available to be shared.

because the total number of sweets do not change, we have

7x +2 = 6x +7

Grouping like terms,

7x - 6x = 7 - 2

x = 5.

Therefore, Mo is sharing the sweets between 5 friends

7 0

3 years ago

A circle is drawn within a square as shown.

Vinil7 [7]

<h3>Area of shaded region is 21.5 square centimeter</h3>

Solution:

The area of the shaded region is equal to the area of the square minus the area of the circle

Find the area of the square

$Area\ of\ square = a^2$

Where, "a" is the length of each side

From given figure in question,

a = 10 cm

$Area\ of\ square = 10^2\\\\Area\ of\ square = 100\ cm^2$

Find the area of circle

The area of the circle is given as:

$Area\ of\ circle = \pi r^2$

Where, "r" is the radius of circle

Diameter = 10 cm

$r = \frac{diameter}{2}\\\\r = \frac{10}{2}\\\\r = 5$

Thus,

$Area\ of\ circle = 3.14 \times 5^2\\\\Area\ of\ circle = 3.14 \times 25\\\\Area\ of\ circle = 78.5\ cm^2$

Find the area of the shaded region

Area of shaded Region = Area of Square - Area of Circle

Area of shaded Region = 100 - 78.5 = 21.5

Thus area of shaded region is 21.5 square centimeter

7 0

3 years ago

A prop for the theater club’s play is constructed as a cone topped with a half- sphere. What is the volume of the prop? Round yo

san4es73 [151]

The volume of the prop is calculated to be 1,875.6 cubic cm.

Step-by-step explanation:

Step 1; The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2; The volume of a cone is determined by multiplying $\frac{1}{3}$ with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 8 cm and the height is 12 cm.

The volume of the cone = $\frac{1}{3}$ × 3.14 × 8 × 8 × 12 = 803.84 cubic cm.

Step 3; The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying $\frac{4}{3}$ with π and the cube of the radius (r³). Here the radius is 8cm. We take π as 3.14.

The volume of a full sphere = $\frac{4}{3}$ × 3.14 × r³ = $\frac{4}{3}$ × π × 8³ = 2,143.5733 cubic cm.

The volume of a half-sphere = $\frac{ 2,143.5733}{2}$ = 1,071.7866 cubic cm.

Step 4; The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 803.84 cubic cm + 1,071.7866 cubic cm = 1,875.6266 cubic cm. By rounding this off to the nearest tenth we get 1,875.6 cubic cm.

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3 years ago

Anna found the difference between thirteen and the product of four and a number. Which expression represents this phrase, and wh

liraira [26]

Answer:

Step-by-step explanation:

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2 years ago

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Are composite numbers closed under multiplication

MrMuchimi

Answer:

Remember that for a subset of a ring to be an ideal it must be closed under addition and under taking multiples by elements of the ring, and in this case the set of all composite integers is not closed under addition.

Step-by-step explanation:

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2 years ago