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egoroff_w [7]
3 years ago
15

Will Give Brainlyest!

Mathematics
1 answer:
Advocard [28]3 years ago
6 0

Answer:

c. Change the length of side CB to 8 feet

Step-by-step explanation:

If the figures are similar, the ratios should be the same

Take the side of the larger triangle over the same side of the smaller


PR                PQ                     RQ

----------- = --------------------= ----------------

AC                AB                      CB


7.5                5                       10

----------- = --------------------= ----------------

 6                4                        9

7.5 /6 = 1.25

5/4 = 1.25

10/9 =1.1111(repeating)


The bases are not in the right ratio.  RQ over CB = 1.25.  Since RQ = 10  and the ratio is 1.25, we can solve for CB

10/CB = 1.25

Multiply by CB on each side

10 = 1.25CB

Divide by 1.25 on each side

10/1.25 = CB

8 =CB

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Jim's backyard is a rectangle that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 long and 1
ser-zykov [4K]
The are of his backyard is 10.4 times 15.83 or 164.632 yd^2
the sod piecs are 1.33 by 1.33 or 1.78 yd^2
so divide 164.632 by 1.78 or
164.632/1.78=92.5 pieces of sod
if he is buying the sod in pieces, he will have to buy 93 pieces because he can't buy 1/2 sod
4 0
3 years ago
A company makes a $5 profit on each non-faulty product it sells. Approximately 2% of the products manufactured are faulty.
galben [10]

Step-by-step answer:

The steps are much easier to follow when we know how many product it sells.  The number does not really matter, because we need the profit per item.

Say, the company made and sold 100 items of the product.

The revenue = 100*5 = $500.

On the average, 2 out of 100 are defective and need to be replaced at a cost of $100 each, so

replacement cost = 2* 100 = 200

So net profit for 100 items = $500 -$200 = $300

Net profit for each item = $300/100 = $3.00

Remark: since the product is replaced, no refund is necessary, so revenue stays at $300.

7 0
3 years ago
Plz help, I'm taking an Advanced class (Algebra) Will give brainliest ✔✔✔✔✔✔✔✔✔
bija089 [108]

Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

  • (x_1, y_1) and (x_2, y_2) are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

h(0) = 3(5)^0 = 3 \cdot 1 = 3

h(1) = 3(5)^1 = 3 \cdot 5 = 15

h(2) = 3(5)^2 = 3 \cdot 25 = 75

h(3) = 3(5)^3 = 3 \cdot 125 = 375


Now, let's find the slopes for each of the sections of the function:

<u>Section A</u>

m = \dfrac{15 - 3}{1 - 0} = \boxed{12}

<u>Section B</u>

m = \dfrac{375 - 75}{3 - 2} = \boxed{300}


Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25


It is 25 times greater. This is because 3(5)^x is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.

7 0
3 years ago
A 9-pack of golf balls costs $8.74. What is the unit price, rounded to the nearest cent?
MrRa [10]

Answer:

0.97 per ball

Step-by-step explanation:

Take the total cost and divide by the number of items

8.74 /9

0.97111

Rounding to the nearest cent

0.97

5 0
3 years ago
Find the length of each side of the triangle determined by the three points P1,P2, and P3. State whether the triangle is an isos
Tanya [424]

Answer:

The triangle is both an Isosceles triangle and a right triangle.

Step-by-step explanation:

Given the vertices of a triangle.

$ P_{1} = (- 1, 4) $

$ P_{2} = (6, 2) $    and

$ P_{3} = (4, - 5) $

We find the distance between all the points to determine the length of each side of the triangle.

Distance between any two points, say, $ (x_1, y_1) $ and $ (x_2, y_2) $ is:

                                 $ \sqrt{\bigg ( \textbf{x}_{\textbf{2}} \hspace{1mm} \textbf{- x}_{\textbf{1}} \bigg )^{\textbf{2}} \textbf{+}   \bigg( \textbf{y}_{\textbf{2}} \hspace{1mm} \textbf{- y}_{\textbf{1}} \bigg)^ {\textbf{2}} $

Length between $ P_1 $ and $ P_{2} $ , (Side 1) :

$ (x_1, y_1) = (- 1, 4) $     and

$ (x_2, y_2) = (6, 2) $

Distance = $ \sqrt{\bigg(6 - (-1) \bigg)^{2} \hspace{1mm} + \hspace{1mm} \bigg( 2 - 4 \bigg )^2 $

$ = \sqrt{7^2 + 2^2} $

$ = \sqrt{49 + 4} $

$ = \sqrt{\textbf{53}} $

Length of Side 1 = $  \sqrt{\textbf{53}} $ units.

Distance between $ P_1 $ and P_2 , (Side 2):

$ (x_1, y_1) = (-1, 4) $

$ (x_2, y_2) = (4, - 5) $

Distance = $ \sqrt{ \bigg( 4 + 1 \bigg)^2 \hspace{1mm} + \bigg( - 5 - 4 \bigg ) ^2 $

$ = \sqrt{ 25 + 81 } $

$ = \sqrt{\textbf{106}} $

Length of Side 2 = $ \sqrt{\textbf{106}} $ units.

Distance between $ P_2 $ and $ P_3 $ , Side 3 :

$ (x_1, y_1) = (4, 5) $

$ (x_2, y_2) = (6, 2) $

Distance = $ \sqrt{ 2^2 \hspace{1mm} + \hspace{1mm} 7^2} $

$ = \sqrt{49 + 4} $

$ = \sqrt{\textbf{53} $

Length of Side 3  = $ \sqrt{\textbf{53}} $ units.

Note that the length of Side 1 = Length of Side 3.

That means the triangle is Isosceles.

Also, For a triangle to be right angle triangle, using Pythagoras theorem we have:

(Side 1)² + (Side 3)² = (Side 2)²

$ \bigg( \sqrt{53} \bigg )^2 \hspace{1mm} + \hspace{1mm} \bigg( \sqrt{53} \bigg)^2 \hspace{1mm} = \hspace{1mm} \bigg ( \sqrt{106} \bigg ) ^2 $

i.e, 53 + 53  = 106

Hence, the triangle is a right - angled triangle as well.

7 0
3 years ago
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