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Liono4ka [1.6K]
2 years ago
15

L 7.8.2 Test (CST): Area, Surface Area, and Volume Question 24 of 30 Find the area of the sector of the circle below. The radius

of the circle is 6 cm. Use 3.14 for at 90" O A. 18.84 cm2 O B. 4.71 cm2 O C. 28.26 cm2 O D. 6.22 cm​

Mathematics
1 answer:
lawyer [7]2 years ago
6 0

Answer:

28.26 cm^2

Step-by-step explanation:

Mathematically, we have the area of a sector as;

theta/360 * pi * r^2

theta is the angle subtended at the center of the circle by the sector which is 90 degrees

r is the radius of the circle given as 6 cm

Substituting these values;

90/360 * 3.14 * 6^2 = 28.26 cm^2

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The chocolate shoppe has a rectangular logo for their business that measures 2 1/2 feet tall with an area that is exactly the ma
leva [86]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The force F between 2 objects is inversely proportional to the square of the distance, d between them. The force is 0.36 newtons
LenaWriter [7]

Answer:

0.73 N to 2 dp.

Step-by-step explanation:

F = k/d^2   where k is a constant , F = force and d = distance.

Substituting:

0.36 = k / (6)^2

k = 36*0.36 = 12.96 s the equation is F = 12.96 / d^2.

When d = 4.2 :

F = 12.96 / 4.2^2

F = 0.73 Newtons to 2 dp.

5 0
3 years ago
What percent of 33 is 96
Nataly_w [17]
<span>96/x=100/33
(96/x)*x=(100/33)*x       - we multiply both sides of the equation by x
96=3.0303030303*x       - we divide both sides of the equation by (3.0303030303) to get x
96/3.0303030303=x 
31.68=x 
x=31.68

now we have: 
33% of 96=31.68

</span>
3 0
3 years ago
F(x) = x + 4<br> G(x) = x^2 + 4<br> Find (fog) (3)
Anika [276]
Answer: 17

Steps:

1. Plug in (3) into “x” of the g(x) equation:
g(3) = (3)^2 + 4
g(3) = 9 +4
g(3) = 13

2. Plug in g(3) value into “x” of the f(x) equation:
f(g(3)) = x + 4
f(g(3)) = 13 + 4
f(g(3)) = 17
5 0
3 years ago
Use the discriminant, b2 - 4ac, to determine which equation has complex solutions.
ruslelena [56]

Using the discriminant, the quadratic equation that has complex solutions is given by:

x² + 2x + 5 = 0.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax² + bx + c

The discriminant is:

\Delta = b^2 - 4ac

The solutions are as follows:

  • If \mathbf{\Delta > 0}, it has 2 real solutions.
  • If \mathbf{\Delta = 0}, it has 1 real solutions.
  • If \mathbf{\Delta < 0}, it has 2 complex solutions.

In this problem, we want a negative discriminant, hence the equation is:

x² + 2x + 5 = 0.

As the coefficients are a = 1, b = 2, c = 5, hence:

\Delta = 2^2 - 4(1)(5) = 4 - 20 = -16

More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811

#SPJ1

3 0
1 year ago
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