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2 years ago

I need a step by step instruction please

Mathematics

1 answer:

Alika [10]2 years ago

3 0

Answer: $x=52$

Step-by-step explanation:

$x-45+45=7+45\\x=52$

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A regular hexagon is inscribed in a circle of radius 77 m. Find the length of a side of the hexagon.

marysya [2.9K]

Hi there!

We'll use the image below as a reference diagram. As you can see, the hexagon is divided into 6 triangles. And, one red line (center to point on the hexagon) would be the radius. Since we know that all of the triangles are equilateral triangles, and the hexagon is a regular hexagon, we know that one side of the hexagon is equal to 77m.
(If the circle actually has a diameter (all the way across the circle), the answer would be 38.5m)

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

3 0

3 years ago

Identify the coefficient(s), constants, and number of terms for the following expression:

Talja [164]

The given expression is: $3 x^{2} -7x+2$

There are 3 terms in this expressions:
1) $3 x^{2}$
2) $-7x$
3) 2

The coefficient of $3 x^{2}$ is 3.
The coefficient of $-7x$ is -7.
The constant term is 2.

8 0

3 years ago

In ten-pin bowling, the highest possible score in a single game is 300.

Natali [406]

Answer:

a) Is it possible for Fred to accomplish this? Yes

b) If it is possible, what score does he need in his next game? 293

Step-by-step explanation:

Step 1

Let us represent the number of games Fred bowled to get an average of 177 = X

His total points scored in that game would be

177 × X

= 177X

To achieve an average of 178 for his next game,

The total number of points he scored was 199, hence that is represented as:

178 = 177X + 199/ X + 1

178(X + 1) = 177X + 199

178X + 178 = 177X + 199

178X - 177X = 199 - 178

X = 21

Hence, Fred bowled 21 games to achieve an average of 178

Therefore, the score he needs to have on the 23rd game is obtained as:

= (23 × 183) - (22 × 178) = 4209 - 3916 = 293

Therefore, it is possible for Fred to raise his average from 178 to 183 in a single game, but he must bowl 293 in his next game to do this.

5 0

3 years ago

Find the simple interest for a $8,000 loan for 2 years at a rate of 4% (formula: l=prt)

Natali [406]

Answer:

S.I= 640

Step-by-step explanation:

I=prt

where p= $8,000

and r= 4%

and t= 2 years

$8,000×4%×2

8,000×4/100×2

80×4×2

=640

Therefore The S.I = 640.

6 0

3 years ago

Write down the inequality described by "half of x is no more than six", and solve it<br>

Montano1993 [528]

X/.5 > 6
(the > has a line under it but idk how to type that lol)

5 0

2 years ago