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3 years ago

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Mathematics

1 answer:

nadya68 [22]3 years ago

5 0

Answer:

C. Determine how many feet −55 feet is below zero feet.

D. Determine how far −55 is from zero on the number line

Step-by-step explanation:

Determine how many feet −55 feet is below zero feet.

This will give us the answer of 55feet , and the absolute value of -55 is 55.

0--55= 0+55 = 55

Determine how far −55 is from zero on the number line

This will also give me us 55 feet because the distance from 0 to -55 is 55

I.e. 0--55= 0+55 = 55

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Select the correct answer from each drop-down menu.

serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: $(x-4)^2+(y-8)^2=6.25$

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

The center is at; $(\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)$

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$r=\sqrt{(4-4)^2+(10.5-8)^2}$

$r=\sqrt{0^2+(2.5)^2}$

$r=\sqrt{0^2+(2.5)^2}=2.5$

The equation of the circle in standard form is given by;

$(x-h)^2+(y-k)^2=r^2$

We substitute the center and the radius into the formula to get;

$(x-4)^2+(y-8)^2=2.5^2$

$(x-4)^2+(y-8)^2=6.25$

6 0

3 years ago

triangle ABC has A(1,2), B(3,1), and C(2,4). it is reflected across the x-axis and then across the y-axis. which point is in the

jarptica [38.1K]

What subject is this if this is math I am good at it

7 0

3 years ago

The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20

stira [4]

Answer:

a) Option A)

$H_{0}: \mu \geq 1503\\H_A: \mu < 1503$

b) Point estimate of difference = -78

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $1,503

Sample mean, $\bar{x}$ = $1,425

Sample size, n = 25

Sample standard deviation, s = $160

We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 1503\text{ dollars}\\H_A: \mu < 1503\text{ dollars}$

b) Point estimate of the difference between the mean annual premium in Pennsylvania and the national mean

Point estimate of difference =

Mean annual premium in Pennsylvania - National mean

$\text{Point estimate} = \bar{x} - \mu = 1425 - 1503 = -78$

Thus,

Point estimate of difference = -78

5 0

4 years ago

(2+3)+4 = 2+(3+4) what's the property

Fantom [35]

It’s called the associative law you can add numbers in any order you want

6 0

4 years ago

Read 2 more answers

30 + (.0825 x 30) + (15% x 30) =

Vanyuwa [196]

30×·15=4.50

then subtract 30 by 4.50 to get 25.50

.0825×30=2.475

now add 2.475+25.50+30= 57.975 round to 57.98

5 0

3 years ago