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2 years ago

Please please help me

Mathematics

2 answers:

ivanzaharov [21]2 years ago

8 0

Answer:

Option D

Step-by-step explanation:

Square:

side = 3 in

$\bf \boxed{\text{Area of square = side *side}}$

= 3*3

= 9 square inches

Rectangle:

length = 10 in

width = 3 in

$\boxed{\text{Area of rectangle = length * width}}$

= 10 *3

= 30 inches

Circle:

diameter = 9 in

radius = 9 ÷ 2 = 4.5 in

$\boxed{ \text{Area of circle = $\pi r^{2}$}}$

= 3.14 * 4.5 *4.5

= 63.6 square inches

Total area = area of square + area of rectangle + area of circle

= 9 + 30 + 63.6

= 102.6 square inches

rjkz [21]2 years ago

4 0

Answer:

D. 102.6 in²

Step-by-step explanation:

The area of the square is 9 in² (3 × 3 = 9)

The area of the rectangle is 30 in² (3 × 10 = 30)

The area of the circle is 63.585 (a = πr², a = 3.14 × 4.5² - remember that the radius of a circle is half of the diameter)

Now, we can add these numbers together. 9 + 30 + 63.585 is 102.585 in² which is 102.6 in² rounded to 1 decimal place.

Hope this helps!

You might be interested in

Solve for w. 2w=12-4w Simplify your answer as much as possible.

aev [14]

So we have an equation:
2w=12-4w
Firstly, let's simplify, and divide all terms by 2:
w=6-2w
Now, we add 2w over to the other side:
3w=6
And finally, we divide both sides by 3:
w=2
Hope this helps!

6 0

4 years ago

In a random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand. C

horrorfan [7]

Answer:

90% confidence interval for the proportion of fans who bought food from the concession stand

(0.5603,0.6529)

Step-by-step explanation:

Step(i):-

Given sample size 'n' =300

Given data random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.

Given sample proportion

$p^{-} = \frac{x}{n} = \frac{182}{300} =0.606$

level of significance = 90% or 0.10

Z₀.₁₀ = 1.645

90% confidence interval for the proportion is determined by

$(p^{-} - Z_{0.10}\sqrt{\frac{p(1-p)}{n} } , p^{-} +Z_{0.10}\sqrt{\frac{p(1-p)}{n} })$

$(0.6066 - 1.645\sqrt{\frac{0.6066(1-0.6066)}{300} } ,0.6066+1.645\sqrt{\frac{0.6066(1-0.6066)}{300} })$

(0.6066 - 0.0463 ,0.6066 + 0.0463)

(0.5603,0.6529)

final answer:-

90% confidence interval for the proportion of fans who bought food from the concession stand

(0.5603,0.6529)

5 0

3 years ago

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1 and the given zeros for

timama [110]

The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,

3² + b(3) + c = 0
3b + c = -9 --> eqn 1

(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2

Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5

Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5

Hence, the polynomial is: f(x) = x² + (-8 - √5)x + (15 + 3√5).

7 0

4 years ago

I need help asap again pls help me io needd help plzzzzzzzzzzzzzz

Georgia [21]

Answer: isosceles

equilateral is all sides are the same

scalene is all sides dif

isosceles is at least two sides the same

3 0

3 years ago

Read 2 more answers

Consider the equality xy k. Write the following inverse proportion: y is inversely proportional to x. When y = 12, x=5.

skelet666 [1.2K]

Answer:

$y=\dfrac {60} {x}$ or $xy=60$ (depending on your teacher's format preference)

Step-by-step explanation:

<h3>Proportionality background</h3>

Proportionality is sometimes called "variation". (ex. " 'y' varies inversely as 'x' ")

There are two main types of proportionality/variation:

Direct
Inverse.

Every proportionality, regardless of whether it is direct or inverse, will have a constant of proportionality (I'm going to call it "k").

Below are several different examples of both types of proportionality, and how they might be stated in words:

$y=kx$ y is directly proportional to x
$y=kx^2$ y is directly proportional to x squared
$y=kx^3$ y is directly proportional to x cubed
$y=k\sqrt{x}}$ y is directly proportional to the square root of x
$y=\dfrac {k} {x}$ y is inversely proportional to x
$y=\dfrac {k} {x^2}$ y is inversely proportional to x squared

From these examples, we see that two things:

things that are directly proportional -- the thing is multiplied to the constant of proportionality "k"
things that are inversely proportional -- the thing is divided from the constant of proportionality "k".

<h3>Looking at our question</h3>

In our question, y is inversely proportional to x, so the equation we're looking at is the following $y=\dfrac {k} {x}$ .

It isn't yet clear what the constant of proportionality "k" is for this situation, but we are given enough information to solve for it: "When y=12, x=5."

We can substitute this known relationship pair, and find the "k" that relates this pair of numbers:

<h3>Solving for k, and finding the general equation</h3>

General Inverse variation equation...

$y=\dfrac {k} {x}$

Substituting known values...

$(12)=\dfrac {k} {(5)}$

Multiplying both sides by 5...

$(12)*5= \left ( \dfrac {k} {5} \right ) *5$

Simplifying/arithmetic...

$60=k$

So, for our situation, k=60. So the inverse proportionality relationship equation for this situation is $y=\dfrac {60} {x}$ .

The way your question is phrased, they may prefer the form: $xy=60$

7 0

2 years ago