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olasank [31]
2 years ago
3

RUHSATFind x in the given figure. (The vertical chord is a diameter.)x = inches​

Mathematics
1 answer:
dimulka [17.4K]2 years ago
8 0

Answer: x=\sqrt{12}\ inches

Step-by-step explanation:

You need to remember the Intersecting chords theorem, which states that the products of the lengths of their segments are equal.

You can observe that the diameter is peperndicular to the chord. This divides the chord into two equal segments.

 Therefore, based on this and knowing the theorem mentioned before, you can write the following expression:

(x)(x)=(6)(2)

Finally, you must solve for "x". So you get this result:

x^2=12\\\\x=\sqrt{12}\ inches

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The ratio of Melanie's allowance to Jacob's allowance is 4.1 to 20.5. If Jacob gets $5.00, how much allowance does Melanie get?
BartSMP [9]

If Melanie get's 4.10$, then Jacob get's 20.50$.

We can divide to get the unit rate:

20.50 ÷ 4.10 = 5

This means that if Jacob gets 5$, then Melanie will get 1$.

So in this case, Melanie get's 1$.

6 0
2 years ago
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Joey is measuring the amount of time it takes for a frisbee to fly through the air he uses a stopwatch to time it and find that
marissa [1.9K]

Answer:percent error in Joey's measurement to the nearest 10th of a percent =- 4.6%

Step-by-step explanation:

Step 1

Time as recorded by the stopwatch = 4.82 seconds

Real Time it takes for a Frisbee to fly through the air =5.05 seconds

percent error =   Measured value – True Value /True value  x 100.

= 4.82 - 5.05 / 5.05 x 100

=-0.23/5.05

=-0.0455 x 100

=4.5544%

Rounding to nearest 10th of a percent = - 4.6%

8 0
2 years ago
The area of a rectangular banquet call is 7400 ft.². The length of one side of the hall is 82 feet. Explain how you can use comp
kiruha [24]

Answer:

Compatible width of rectangular banquet hall could be 90 feet approximately.

Step-by-step explanation:

Given

Area of a rectangular banquet hall = 7400 square feet

Length of rectangular banquet hall = 82 feet

We need to calculate width of the rectangular banquet hall.

Now Area of rectangle is equal to length times width.

Framing in equation form we get;

Area\ of \ Rectangle= length \times width

Substituting the given values we get;

82 \times width = 7400\\\\width = \frac{7400}{82} = 90.2439

Now by definition of Compatible numbers which state that:

"Compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally.  Compatible numbers are close in value to the actual numbers that make estimating the answer and computing problems easier."

Now By Using width as 90 feet and length as 82 feet we get area as 7380 sq ft. which is closet to actual area which is 7400 sq ft.

Hence we can say compatible width could be 90 feet approximately.

5 0
2 years ago
An equation was used to predict possible sales of phones for 6 months. The actual sales of phones are also listed.
LekaFEV [45]
They were up 15+0+25+10-20-10=20. The sum was 20 :)
3 0
2 years ago
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The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high,
Andrej [43]

Answer:

A. $18

B. $200

C. p\in (16,20)

Step-by-step explanation:

Function:

f(p) = -50p^2 + 1,800p - 16,000

<u>Parts A and B:</u>

The price that generates the maximum profit is ate vertex of parabola. Find the coordinates of the vertex:

p_v=\dfrac{-b}{2a}=\dfrac{-1,800}{2\cdot (-50)}=\dfrac{1,800}{100}=18\\ \\f(p_v)=-50\cdot 18^2+1,800\cdot 18-16,000=200

The price that generates the maximum profit is $18

The maximum profit is $200

<u>Part C:</u>

The company breaks even when the profit is positive. From the graph of the function you can see that the graph of the function is over p-axis for all p\in (16,20), so the positive profit is for p\in (16,20)

In p=16 and p=20, the profit is 0 and when p<16 and p>20, there will be a loss.

7 0
2 years ago
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