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Bess [88]
3 years ago
11

Which solution finds the value of x in the triangle below?

Mathematics
2 answers:
LuckyWell [14K]3 years ago
7 0

Answer:

4

Step-by-step explanation:

Since this is a right triangle, and one of the angles measures 60 degrees, we can conclude that the last side measures 30 degrees.

We can see that this is a 30-60-90 degree triangle.

The rules of 30-60-90 degree triangles are that the side opposite the 90 degree angle, or the hypotenuse can be measured with the variable 2a. The side opposite the 30 degree angle can be measured with a, and the side opposite the 60 degree angle will be measured with a\sqrt{3}.

We can see that 8 represents 2a because it is the hypotenuse. Since the side marked x is separated by the hypotenuse by an angle of 60 degrees, we note that side marked x is opposite the angle measuring 30 degrees. We note that the side opposite 30 degrees is marked a, and since we already know that 8 is equal to 2a, we realize that the side marked x is equal to a, or 4.

forsale [732]3 years ago
5 0

I didn't get it can you post a picture with it too?

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dimensions of a building are 740 feet by 800 feet. If 1inch represents 8 feet. What are the dimensions of the building on the dr
nevsk [136]

Answer: 92.5 inches by 100 inches.


Step-by-step explanation:

1. You know that 1 inch represents 8 feet and the dimensions of the building are 740 feet by 800 feet, therefore, you must apply the proccedure shown below:

\frac{740ft*1in}{8ft}=92,5in

\frac{800ft*1in}{8ft}=100in

2. Then, as you can see, the dimensions of the building on the drawing are 92.5 inches by 100 inches.


6 0
3 years ago
Josh has 40 minutes to complete a government exam. There are 15 multiple-choice questions worth 3 points each. There are also 5
Sauron [17]
Since there is no graph presented, I will give an example. For instance you are given, 2n is greater than 30 and 5n is less than 100 and you are asked to find the value of n. This is an example of an inequality problem. You are given 2n is greater than 30 and 5n is less than 100. You are asked to find for the value of n. You need to know that greater means this sign ‘>’ and lesser means ‘<’ sign. So if you have 2n is greater than 30, this is equal to 2n>30 and 5n is less than 100 is 5n<100. The ‘and’ means equal sign ‘=’. So,

2n>30+5n<100

2n-5n

<span> </span>

8 0
3 years ago
Find the height using the pythagorean theorem <br>​
Snezhnost [94]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
Help ASAP BRAIN IF RIGHT The width of a rectangle is 12 units. Can the perimeter P of the rectangle be 60 units when its length
bonufazy [111]

Answer:

Yes, because P = 2x +2(12)

Step-by-step explanation:

As the formula for perimeter is 2(L+B).

Let L=x=18

B=12

Then, perimeter, P=2(18+12) = 2(30) = 60

Hence, we get the perimeter as 60 units.

6 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
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