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Vikki [24]
3 years ago
5

On a map, two locations are 0.75 centimeter apart. Their actual distance is 15 kilometers apart.

Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0
If you are working out the number of KM per CM them you divide the KM by the CM:
15/0.75 = 20

This means that it is 20KM per every 1CM

Hope this helps! :)
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Darya [45]

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2. right triangle

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4 0
3 years ago
3/4+?/2=13/4 what is answer
Otrada [13]

The answer is <em>x</em>=5.

Solve for <em>x</em>. (The question mark should be <em>x</em>.)

\frac{3}{4}+\frac{x}{2}=\frac{13}{4}\\\frac{3}{4}+\frac{x}{2}-\frac{3}{4}=\frac{13}{4}-\frac{3}{4}\\\frac{x}{2}=\frac{5}{2}\\\frac{2x}{2}=\frac{5\times 2}{2}\\x=5

7 0
3 years ago
A 25 ft ladder leans against a building. The ladder’s base is 13.5 feet from the building. Find the angle of elevation, which th
Goryan [66]

Answer:

57.3°

Step-by-step explanation:

A 25 feet ladder leans against a building.

The ladder's base is 13.5 feet from the building.

The ladder, the wall of the building and the ground form a right-angled triangle of:

Hypotenuse = 25 feet

Base = 13.5 feet

We are to find the angle of elevation which the ladder makes with the ground (or rather the angle created by hypotenuse and base)

Let's say the angle = X°

According to a trigonometric equation;

cos X° = adjacent side ÷ hypotenuse = \frac{13.5}{25} = 0.54

cos ^{-1} X = 57.5=3° (Answer rounded up to nearest one decimal place).

∴ The angle of elevation = 57.3°

4 0
3 years ago
Sergio works at a bakery and needs to cover
Elan Coil [88]

Answer:

The surface area that Sergio needs to frost on each cake is 3,238 square centimeters

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The surface area of the cylindrical cake is equal to the lateral area plus the area of the top of cylinder (remember that the bottom of the cake does not need frosting)

so

SA=\pi r^{2}+2\pi r h

we have

r=40.2/2=20.1\ cm ---> the radius is half the diameter

h=15.6\ cm

\pi=3.14

substitute the given values

SA=(3.14)(20.1)^{2}+2(3.14)(20.1)(15.6)

SA=1,268.59+1,969.16\\SA=3,237.75\ cm^2

Round up to the  nearest whole number

SA=3,238\ cm^2

therefore

The surface area that Sergio needs to frost on each cake is 3,238 square centimeters

5 0
3 years ago
In the United States, the mean age of men when they marry for the first time follows the normal distribution with a mean of 24.6
Sedbober [7]

Answer:

z= \frac{25-24.6}{\frac{2.8}{\sqrt{66}}}=1.16

So we want to find this probability:

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And using the normal standard distirbution or excel we got:

P(z

Step-by-step explanation:

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P(\bar X

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z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

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z= \frac{25-24.6}{\frac{2.8}{\sqrt{66}}}=1.16

So we want to find this probability:

P(z

And using the normal standard distirbution or excel we got:

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5 0
3 years ago
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