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pashok25 [27]
3 years ago
8

Graph y = -x^2 - 2. Identify the vertex of the graph. Tell whether It is a minimum a or maximum

Mathematics
1 answer:
lawyer [7]3 years ago
5 0

Answer:

(0,-2)

maximum

Step-by-step explanation:

-x∧2-2 = -1 (x∧2) -2

so the vertex should be (0,-2)

As it is negative for the x∧2, so the graph opens downwards. So, the vertex is a maximum.

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A lawn sprinkler sprays water 5 ft in every direction as it rotates. What is the area of the sprinkled lawn?
Karolina [17]

Answer:

78.57

Step-by-step explanation:

Radius is 5 feet

Area of circle is pi*r  Squared

22/7*5*5

78.57 square feet

6 0
3 years ago
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52.48 which digit in the tens place
goldfiish [28.3K]

The tenth place would be. . 4

The TENS place would be 5

5 0
3 years ago
There are a total of 18 frocks. If the ratio of purple frocks to white frocks is 2 to 4, how many of them are white?
Oksana_A [137]
I think it will be 2:4. 2X9=18 so u × 4×9=36 so its 18 to 36
7 0
3 years ago
How do you solve sin (5pi/3) without a calculator?
Savatey [412]

very simple, we use the formula sin(a+b)=sinacosb + sinbcosa and sin(20)=2sinacosa

5pi = 2pi/3+3pi/3,

First, we use sin(a+b)=sinacosb + sinbcosa

sin(5pi/3)=sin(2pi/3+3pi/3)= sin(2pi/3+pi)= sin(2pi/3)cos(pi) +sin(pi)cos(2pi/3)

but we know that sin(pi)= 0, and cos (pi) = -1, so sin(5pi/3)= - sin(2pi/3)

now, use sin(2a)=2sinacosa, sin(5pi/3)= - sin(2pi/3)= -2sin(pi/3)cos(pi/3)

sin<span>(5pi/3)=  -2sin(pi/3)cos(pi/3)</span>

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5 0
4 years ago
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What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm?
Rasek [7]

Answer:

105.84\ cm^2

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is

A=\pi r^{2}

we have

r=21.2/2=10.6\ cm ----> the radius is half the diameter

substitute

A=\pi (10.6)^{2}

A=112.36\pi\ cm^2

step 2

Find the area of a sector

Remember that

The area of the circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of a sector with a central angle of 108 degrees

\frac{112.36\pi}{360^o}=\frac{x}{108^o}\\\\x=112.36\pi(108)/360\\\\x=33.708\pi\ cm^2

assume

\pi=3.14

substitute

33.708(3.14)=105.84\ cm^2

7 0
3 years ago
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