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Alenkasestr [34]
3 years ago
11

Find the area of an equilateral triangle with radius 22 cm. Round to the nearest whole number.

Mathematics
1 answer:
daser333 [38]3 years ago
6 0
In this item, we are given with the radius equal to 22 cm.

This measurement of the radius is the hypotenuse of the 30°-60°-90° triangle formed with the half the measurement of the side of the equilateral triangle being opposite to the 60°  and equal to the hypotenuse times (1/2)(√3)

If we let s be the side of the triangle then,
                 s/2 = r(1/2)(√3)
Multiplying the equation by 2,
                 s = r√3
Substituting,
              s = (22 cm)(√3) = 22√3

The area of the equilateral triangle is computed through the equation,
         A = (√3 / 4)(s²)
Substituting,
     <em>    A = (√3 / 4)(22√3)² = 628.7 cm²</em>

Therefore, the answer to this item is the first choice. 
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Outta Luck Towing Company charges $50 to hook a vehicle to the truck and $2.75 for each mile the vehicle is towed. Write an equa
Nana76 [90]

Outta Luck Towing Company charges $50 to hook a vehicle to the truck and $2.75 for each mile the vehicle is towed.

Let the number of miles towed is m, and the total charges is  c

2.75 for each mile the vehicle is towed

for 1 miles , the charge is 2.75

For m miles , the charge is 2.75m

$50 to hook a vehicle to the truck. so basic charge is 50

Total charge = charge of m miles + basic charge

C = 2.75 m + 50

4 0
3 years ago
Determine the slope of y=3x^2-8 at (x,y)
romanna [79]
By definition, the slope of a curve is the rate of change of the independent and dependent variables. When graphed in a Cartesian plane, the slope between any two point on the curve is equal to Δy/Δx. However, we should not that only a linear function has a constant slope. For this problem, the equation is quadratic. Hence, you must specify the point where we should get the slope.

In calculus, the slope is the first derivative of the equation:

<span>y=3x</span>²<span>-8
dy/dx = slope = 6x - 0

Thus, the slope at any point of the curve is 6x. For instance, you want to find the slope of the curve at point (1,1), then the slope is equal to 6(1) = 6 units.</span>
8 0
3 years ago
Si el recíproco del m% de p se divide por el recíproco del m% de q resulta: A) pq/100 B)pq C)1/pq D)p/q E)q/p
Aleksandr [31]

Answer:

E) q / p

Step-by-step explanation:

Spanish

m% de p = pf / 100

m% de q = mq / 100

El recíproco se obtiene haciendo que el numerador sea el denominador y el denominador el numerador.

El recíproco de m% de p = 100 / mp

El recíproco de m% de q = 100 / mq

Divisor

100 / mp / 100 / mq

= 100 / mp * mq / 100

= mq / mp

= q / p

English

If the reciprocal of m% of p is divided by the reciprocal of m% of q, the result is: A) pq / 100 B) pq C) 1 / pq D) p / q E) q / p

m% of p= mp/100

m% of q= mq/100

The reciprocal is obtained by making the numerator the denominator and the denominator the numerator

The reciprocal of m% of p= 100/mp

The reciprocal of m% of q= 100/mq

Dividing

100/mp/ 100/mq

=100/mp* mq/100

= mq/mp

= q/p

8 0
3 years ago
Eber ran 3 miles. He stopped to take a break every 3/4 miles. How many times did Eber stop including his final stop at the end o
nataly862011 [7]

Answer: 4 times

Step-by-step explanation:

3÷3/4=3/1×4/3=4

4×3/4=3

6 0
3 years ago
Write both inequalities graphed above?
Romashka [77]

Answer:

among us

Step-by-step explanation:

4 0
3 years ago
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