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Agata [3.3K]
3 years ago
14

Josie found a small bird bath at a garage sale. The bird bath has a circular opening with a radius of 10 cm, as shown in the dia

gram below. Using 3.14 for pi, Josie calculates that the water in the small bird bath has 314 cm2 of surface area. Josie lives in a wooded area with lots of birds, so she plans to use the bird bath she found as a scale model to build a much larger bird bath. If she doubles the dimensions of the scale model, how many square centimeters of surface area will the larger bird bath have for bathing?
Mathematics
1 answer:
sveticcg [70]3 years ago
8 0

Answer: 1256cm

Step-by-step explanation:

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A landscape business charges $50 to deliver rocks. The cost of the rocks are $27 per cubic yard. write and solve a linear equati
Nuetrik [128]
<h2>Answer: 27x + 50 = y, $266</h2>

Step-by-step explanation:

First, let's form a linear equation that will help us find out how much that will cost.

Let's set x = the cubic yards of rocks delivered and y = total cost.

First, we know that the business charges 27 dollars for every x that you buy. That can be shown with a multiplication expression:

27x

Next, we know that the business charges a fixed fee of $50 for their services. This fee would be <em>added on</em> to the amount that they charge for the rocks that you buy.

<h2>27x + 50 = y</h2>

That's our linear expression! Next, we need to find out the <em>total cost</em>, y, when you need 8 cubic yards of rocks delivered, x.

To solve this, we need to substitute values for at least one of our variables.

Since 8 describes the cubic yards of rocks delivered, we can substitute 8 for x.

But we don't know y, the total cost- that's what we're solving for! In other words, we're solving for y.

Let's just substitute in what we know:

27(8) + 50 = y.

216 + 50 = y

<h2>y = 266</h2>

So, we know that it would cost $266 dollars to have 8 cubic yards of rocks delivered to a site.

By the way, you can also graph your linear equation to find the corresponding y-value to 8 as another way to solve your problem.

7 0
3 years ago
The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3<br> are…
Leokris [45]

Answer:

\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3

For finding the x intercept , <u>equate the given function with 0, we have ;</u>

\sf \implies 2x ( x - 5 )^2(x+4)^3= 0

Equate each factor with 0 ,

\sf \implies 2x = 0

Divide both sides by 2 ,

\sf \implies\bf x = 0

Again ,

\sf \implies ( x - 5)^2=0

Taking squareroot on both sides,

\sf \implies x - 5 = 0

Add 5 to both sides,

\sf \implies \bf x = 5

Similarly ,

\sf \implies \bf x = -4

<u>Hence</u><u> the</u><u> </u><u>x </u><u>Intercepts</u><u> </u><u>are </u><u>-</u><u>4</u><u> </u><u>,</u><u> </u><u>0</u><u> </u><u>and </u><u>5</u><u> </u><u>.</u>

{ See attachment also for graph } .

3 0
3 years ago
Find the coordinates of the vertices of the image of triangle ijk after it is dilated by a scale factor of two using the organ a
ycow [4]
What are the answer choices?
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3 years ago
Can I get some help please? <br><br><br> Thanks!
quester [9]
An ellipse (oval shape) is expressed by the following equation:

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1 where h is the x coordinate of the center and k is the y coordinate of the center. Furthermore, a is the horizontal distance from the center, and b is the vertical distance from the center. Lastly, c is the distance from the center to one of the foci (they are spaced apart equally).

We can find the foci by using a^2 - b^2 = c^2

36 - 11 = c^2

c =  \sqrt{25}  = 5

Since the k value in this case is 0, the y value of both foci are 0. Also, since h and k are both 0, we know the center of the ellipse is at the origin.

So the foci are (-5, 0) and (5, 0)

Hope this helps :)

3 0
3 years ago
Paul biked 55 miles in 10 hours . what is the unit rate of miles per hour
irinina [24]

Answer:

5.5 miles per hour

Step-by-step explanation:

Since he travels a total of 55 miles in 10 hours, you need to divide.

55/10 = 5.5

total hours/total miles = miles per hour

3 0
3 years ago
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