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shtirl [24]
1 year ago
12

A factory requires 9 machines to make a toy

Mathematics
1 answer:
cestrela7 [59]1 year ago
6 0

Answer:

18 machines

Step-by-step explanation:

9 machines give 24 mins... You need to reduce the time by half by adding using double the machines..

So 9×2=18

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Can someone help me and show how to write the perimeter equation to find x.
disa [49]

Answer:

a) 10x + 8 = 21

b) x = 1.3

Step-by-step explanation:

The line of symmetry is a vertical line that passes through point C.

That makes sides BC and CD congruent, and sides AB and ED congruent.

perimeter = AB + BC + CD + DE + EA

perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8

perimeter = 21

a) Equation:

10x + 8 = 21

b)

10x + 8 = 21

10x = 13

x = 1.3

7 0
3 years ago
9. A blueprint of a house plan uses a scale in
nata0808 [166]

Answer:

The length on the blueprint for an actual length of 65 feet is 16\frac{1}{4}\ inches

Step-by-step explanation:

Given:

Scale of the blueprint is \frac{1}{4}\ in=1\ foot

Length of one side of the house is 65 feet.

Now, as per given data;

1 foot in actual = \frac{1}{4}\ in on the blueprint.

Therefore, using unitary method, we can find find the length on the blueprint for an actual length of 65 feet by multiplying 65 and \frac{1}{4}. Therefore,

Length on the blueprint for 65 feet is given as:

=\frac{1}{4}\times 65\\\\=\frac{65}{4}\\\\=16\frac{1}{4}\ inches

Therefore, the length on the blueprint for an actual length of 65 feet is 16\frac{1}{4}\ inches

5 0
3 years ago
A radio station broadcasts a signal over qn area with a radius of 50 miles. The station can relay the signal and broadcast over
denpristay [2]
A = pi * r^2 
<span>A = 3.14 * 50^2 </span>
<span>A = 7,850 square miles (area of the 50 mile broadcast signal)

A = pi * r^2
A = 3.14 * 75^2
A = </span>17,662.5 = 17,663 square miles (area of the 75 mile relayed signal)

Now we just need to subtract the 50 mile signal from the 75 mile signal, so:

17,663 - 7,850 = <span>9,813 square miles greater


Hope this helps :)
</span>
7 0
3 years ago
For a certain map, the scale shows that 1 cm on the map equals 2.50 km on earth's surface. two towns on the map are 4.75 cm apar
Julli [10]
<span>In this problem, to find the answer we have to setup a series of ratios that relate the scale to real life distance. We know that 1cm = 2.50km, so that ratio would be 1cm/2.5km. For two towns that are 4.75cm apart on the map, we set a ration of 4.75cm/x km, where x is the actual distance. Now we set the ratios equal to each other and solve for x. 1/2.5=4.75/x where x = 4.75*2.5/1 = 11.875 and rounding up we get 11.88 km. The two towns are actually 11.88 km apart from each other.</span>
3 0
3 years ago
7.
Iteru [2.4K]

Answer:

a. 45 π

b. 12 π

c. 16 π

Step-by-step explanation:

a.

If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:

Radius: 3

Height: 5

Then the volume of the cylinder is:

V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π

b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:

Radius: 3

Height: 4

Then the volume of the cone is:

V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π

c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):

Then we will have:

Radius: 4

Height: 3

Then the volume of the cone is:

V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π

7 0
3 years ago
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