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aalyn [17]
3 years ago
7

Is this the correct answer?

Mathematics
2 answers:
rewona [7]3 years ago
5 0

f(3) = 2 from the graph.

f(a) - f(3) = -3

f(a) - 2 = - 3

f(a) = - 3 + 2

f(a) = - 1

That means that the y value is -1

When the y value is -1 from the graph then the x value associated with it is 1.

The answer is C

goldfiish [28.3K]3 years ago
4 0
F(a) - f(3) = -3
f(a) - 2 = -3
f(a) = -1
f(1) = -1 so a=1. answer c.

sorry you got it wrong. so did the other answer.
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Find the area of the composite figure.
Roman55 [17]

Answer:

The Area of the composite figure would be 76.26 in^2

Step-by-step explanation:

<u>According to the Figure Given:</u>

Total Horizontal Distance = 14 in

Length = 6 in

<u>To Find :</u>

The Area of the composite figure

<u>Solution:</u>

Firstly we need to find the area of Rectangular part.

So We know that,

\boxed{ \rm \: Area  \:  of \:  Rectangle = Length×Breadth}

Here, Length is 6 in but the breadth is unknown.

To Find out the breadth, we’ll use this formula:

\boxed{\rm \: Breadth = total  \: distance - Radius}

According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,

\longrightarrow\rm \: Length \:  of \:  the  \: circle = Radius

  • Since Length = 6 in ;

\longrightarrow \rm \: 6 \: in   = radius

Hence Radius is 6 in.

So Substitute the value of Total distance and Radius:

  • Total Horizontal Distance= 14
  • Radius = 6

\longrightarrow\rm \: Breadth = 14-6

\longrightarrow\rm \: Breadth = 8 \: in

Hence, the Breadth is 8 in.

Then, Substitute the values of Length and Breadth in the formula of Rectangle :

  • Length = 6
  • Breadth = 8

\longrightarrow\rm \: Area \:  of  \: Rectangle = 6 \times 8

\longrightarrow \rm \: Area \:  of  \: Rectangle = 48 \: in {}^{2}

Then, We need to find the area of Quarter circle :

We know that,

\boxed{\rm Area_{(Quarter \; Circle) }  = \cfrac{\pi{r} {}^{2} }{4}}

Now Substitute their values:

  • r = radius = 6
  • π = 3.14

\longrightarrow\rm Area_{(Quarter \; Circle) } =  \cfrac{3.14 \times 6 {}^{2} }{4}

Solve it.

\longrightarrow\rm Area_{(Quarter \; Circle) } =  \cfrac{3.14 \times 36}{4}

\longrightarrow\rm Area_{(Quarter \; Circle) } =  \cfrac{3.14 \times \cancel{{36} } \: ^{9} }{ \cancel4}

\longrightarrow\rm Area_{(Quarter \; Circle)} =3.14 \times 9

\longrightarrow\rm Area_{(Quarter \; Circle) } = 28.26 \:  {in}^{2}

Now we can Find out the total Area of composite figure:

We know that,

\boxed{ \rm \: Area_{(Composite Figure)} =Area_{(rectangle)}+ Area_{ (Quarter Circle)}}

So Substitute their values:

  • \rm Area_{(rectangle)} = 48
  • \rm Area_{(Quarter Circle)} = 28.26

\longrightarrow \rm \: Area_{(Composite Figure)} =48 + 28 .26

Solve it.

\longrightarrow \rm \: Area_{(Composite Figure)} =\boxed{\tt 76.26 \:\rm in {}^{2}}

Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.

\rule{225pt}{2pt}

I hope this helps!

3 0
2 years ago
Solve (x-3)^2=5<br> A. x=5+√3<br> B. x=-3+√5<br> C. x=3+√5<br> D. x=8 and x=-2
kodGreya [7K]

Answer:

A

Step-by-step explanation:

we should first find the value of x.

4 0
3 years ago
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PLEASE PLEASE ANSWER QUICKLY
ipn [44]

Answer:

Step-by-step explanation:

perimeter of rectangle=2(length+width)

=2(70+65)

=2*135

=270 feet

4 0
3 years ago
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2x+5(x+1) = -8;<br><br> Can someone help me solve this problem step by step please?
mariarad [96]

Answer:

-13/7

Step-by-step explanation:

2x+5(x+1)=-8

2x+5x+5=-8

7x+5=-8

7x=-8-5

7x=-13

7x/7=-13/7

x=-13/7

4 0
3 years ago
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Suppose you and a partner want to make a recipe for 25 friends. Adjust the amount of each ingredient below to 25 servings.
mel-nik [20]
Well, we are starting with 100 servings, and we're trying to find the amount of ingredients necessary to create 25 servings. To do this, we must first simply divide 25 by 100 to see what the ratio would be, and when we do this, we can see that

25 / 100 = \frac{25}{100} = \frac{1}{4}

Now, all we have to do is multiply all of the ingredients by the ratio to find out how much we would use for only a quarter of the amount that the original recipe calls for.

In order to multiply by a whole number by a fraction, you just need to make sure that the numerator is lined up with the whole number, and then put a 1 below the whole number to turn it into a fraction. Then, you can divide the numerators and denominators together, respectively.

1.) 100 * \frac{1}{4} = \frac{100}{1} *  \frac{1}{4} = \frac{100 * 1}{1 * 4} = \frac{100}{4} = 25

2.) 72 * \frac{1}{4} =  \frac{72}{1} *  \frac{1}{4} =\frac{72 * 1}{1*4} = \frac{72}{4} = 18

3.) 14 * \frac{1}{4} = \frac{14}{1} * \frac{1}{4} = \frac{14 *1}{1*4} = \frac{14}{4} = 3 \frac{1}{2}

4.) 6 * \frac{1}{4} = \frac{6}{1} * \frac{1}{4} = \frac{6*1}{1*4} = \frac{6}{4} = <span>1 \frac{1}{2} </span>

5.) 24 * \frac{1}{4} = \frac{24}{1} * \frac{1}{4} = \frac{24*1}{1*4} = \frac{24}{4} = 6

6.) 80 * \frac{1}{4} = <span>\frac{80}{1} * \frac{1}{4} = \frac{80*1}{1*4} = \frac{80}{4} = <span>20</span>

</span>7.) 50 * \frac{1}{4} = \frac{50}{1} * \frac{1}{4} = \frac{50*1}{1*4} = \frac{50}{4} = 12 \frac{1}{2}

And there you have the recipe ingredients necessary for 25 servings.
Hope that helped! =)
5 0
3 years ago
Read 2 more answers
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