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kondaur [170]
3 years ago
14

Find the Circumference and area of the circle with the center C=(-1,2) and a point on the circle A(4,-1). Round to the nearest t

enth.
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

Answer:

idk the answer but i do know this

Step-by-step explanation:

the formula for the area of a circle is pi times the radius squared

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The high school leadership team is having a car wash. They charge $5.50 for large cars and $4.00 for small cars . They had a suc
11Alexandr11 [23.1K]

Answer: 56 large cars and 86 small cars.

Step-by-step explanation:

Let's call:

l: the number of large cars.

s: the number of small cars.

Then, you can set up the following system of equations:

\left \{ {{l+s=142} \atop {5.50l+4.0s=652.50}} \right.

You can use the Elimination Method:

- Multiply the first equation by -4.0

- Add both equations.

- Solve for l.

\left \{ {{-4.0l-4.0s=-568} \atop {5.50l+4.0s=652.50}} \right.\\--------\\1.5l=84.5

l≈56

Substitute l=56 into one of the original equations and solve for <em>s:</em>

<em> </em>56+s=142\\s=142-56\\s=86

3 0
3 years ago
The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 40 to 75 mi
jeka57 [31]

Answer:

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

P(X > x) = \frac{b - x}{b - a}

Uniformly distributed over the interval 40 to 75 minutes.

This means that a = 40, b = 75

It is known that the cycle time exceeds 45 minutes

This means that we can use a = 45

What is the probability that the cycle time exceeds 50 minutes?

P(X > 50) = \frac{75 - 50}{75 - 45} = 0.8333

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

8 0
3 years ago
Evaluate -(2")(2º).<br> A.1/8<br> B. -8<br> C. 8<br> D.-1/8
Gennadij [26K]

Answer:

= -8

(hope this helps) :)

6 0
3 years ago
Please answer and use statement reason
masha68 [24]

Answer:

x = 15

Step-by-step explanation:

FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.

Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.

x + 8x + 3x = 180°

12x = 180°

12x/12 = 180/12

x = 15

8 0
2 years ago
Item C sold for 5$ and item D sold for 7 you sold a combined total of 60 of item c and D and you made 400$ how many of each item
Aneli [31]

Answer:

50 of D and 10 of C

Step-by-step explanation:

First of all, put this data into 2 equations.

You sold 60 items, so C+D=60

C is $5 so we can represent it by 5C

D is $7 so we can represent it by 7D

You made $400 total from C and D, so 5C+7D=400

We can use simultaneous equations to solve this.

To eliminate one of these variables, we'll multiply the first one by 5 to make it 5C like the other.

5(C+D=60)     (make sure you multiply both sides.)

so 5C+5D=300

5C+7D=400

Now we solve it:

5C-5C+7D-5D=400-300

7D-5D=100

2D=100

D=50

Now we can substitute this with one of the equations to find C

C+50=60

C=60-50

C=10

so, (10x5)+(50x7)=400

4 0
4 years ago
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