You are standing at point C, 45 feet from the Point State Park fountain in Pittsburgh, PA. The distance from you to a point of tangency on the fountain is
105 feet. Find the length of AC, the distance between you and your friend at point A.

You Are Standing At Point C, 45 Feet From The Point State Park Fountain In Pittsburgh, PA. The Distance

Answers

Answer 1

The tangent line DC is perpendicular to the radius of the park

The length of AC is 245 feet

How to determine the distance AC?

To calculate the distance AC, we start by calculating the length of AB using:

DC^2 = (BC + AB) * BC

So, we have:

105^2 = (45 + AB) * 45

Evaluate the exponent

11025 = (45 + AB) * 45

Divide both sides by 45

245 = 45 + AB

Rewrite as:

AB + 45 = 245

From the figure, we have:

AC = AB + 45

Substitute AB + 45 = 245

AC = 245

Hence, the length of AC is 245 feet

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Related Questions

Two of the interior angles of a triangle are 50° and 75°. Which of the following could be a measure of an exterior angle of the triangle?

Answers

Answer:

Step-by-step explanation:

so, 50+75=125.

180-125=55.

There can be-

130, 95, and 125

Write the standard equation for the circle center (6, 7), r = 9.

Answers

Answer:

[tex](x-6)^{2} +(y-7)^{2} =81[/tex]

Step-by-step explanation:

The general equation for a circle is

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex] where (h,k) is the center of the circle and r is the radius

Plug in the (6,7) for the center and 9 for r

Find the surface area of this figure.

Answers

Answer:

760 in^2

Step-by-step explanation:

2(22*10)+2(22*5)+2(5*10) = 760in^2

Which of these pairs are like terms?

20 x, 0.8 x
17, 3 x
14 x, 14 x2
0.5 x, 0.5 y

Answers

The pair of algebraic expressions which are like terms is; 20x and 0.8x.

What are like terms?

Algebraic expressions are pronounced as like terms if the terms contain the same variable raised to the same exponent.

check all options:

20x, 0.8x

same variable and exponent

17, 3x

Not same variable

14x, 14x²

Same variable, not same exponent

0.5x, 0.5y

Not same variable

On this note, it follows that the terms 20x and 0.8x are like terms.

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how do you do this???

Answers

Answer:

i think itd -4 * x which is -4x and you do -4*3 which is -12 so its -4x+-12=8 and then you add 12 to both sides so -12+12 will cancel and then 8+12=20 so its -4x=20 and the answer would be X= -5

Step-by-step explanation:

Can I please have brainliest

1. The mode is the number you see

1. most
2. least
3. first
4. don't see

Answers

Mode is the number that is shown the most.


Answer: 1. Most

If 700, 300-pound buckets each had x rocks and each rock weighed 0.25 pounds how many pounds are in each bucket

Answers

Answer:

1200

Step-by-step explanation:

buckets can hold 300 ponds so 0.25 divided by 300

A circle that has (-2,4) and (4,2) as endpoints of a diameter.

Use the given information to write the standard equation of the circle.

I WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER!

Answers

Answer:

[tex]\implies (x-1)^2+(y-3)^2=10[/tex]

Step-by-step explanation:

End points of the diameter of the circle are:

[tex](-2,\:4) \implies x_1= -2, \: y_1= 4[/tex]

[tex](4,\:2) \implies x_2= 4, \: y_2= 2[/tex]

Equation of circle in diameter form is given as:

[tex](x-x_1)(x-x_2)+(y-y_1)(y-y_2)=0[/tex]

Plugging in the values of [tex]x_1, \: y_1,\:x_2, \: y_2[/tex] in the above equation, we find:

[tex][x-(-2)](x-4)+(y-4)(y-2)=0[/tex]

[tex]\implies (x+2)(x-4)+(y-4)(y-2)=0[/tex]

[tex]\implies x^2-2x-8+y^2-6y+8=0[/tex]

[tex]\implies x^2-2x+1-9+y^2-6y+9-1=0[/tex]

[tex]\implies (x^2-2x+1)-9+(y^2-6y+9)-1=0[/tex]

[tex]\implies (x-1)^2+(y-3)^2-10=0[/tex]

[tex]\implies (x-1)^2+(y-3)^2=10[/tex]

This is the required equation of circle in standard form.

What is the MAD of these numbers: 52, 65, 63, 48, 52, 53, 60

Answers

Answer: About 5.59

Step-by-step explanation:

        The mean absolute deviation (MAD) is where you subtract the mean from each value, find the absolute value of that value, and then find the average of those values.

        Here is what it looks like.

[Step 1]

        Find the average.

[tex]\displaystyle \frac{52+65+63+48+52+53+60}{7} =\frac{393}{7}=56.14[/tex]

[Step 2]

       Find the absolute value of each data from the mean.

|52 - 56.14| = 4.14

|65 - 56.14| = 8.86

|63 -  56.14| = 6.86

|48 -  56.14| = 8.14

|52 -  56.14| = 4.14

|53 -  56.14| = 3.14

|60 -  56.14| = 3.86

[Step 3]

      Find the average of these values.

[tex]\displaystyle\frac{4.14 + 8.86 + 6.86+8.14+4.14+3.14+3.86}{7} =\frac{39.14}{7}=5.59[/tex]

(WILL MARK BRAINLIEST!) If a student attends a non-credited high school, or in their case a homeschooling program, will they have to take the SAT/ACTs to be able to attend community college? Please answer explaining how a student such as this can get into college and the requirements they would need.

Answers

Students who will attend community college are not required to take SAT or ACT exams.

Given that,

Standardized test scores should no longer be used as a factor in college admissions because such tests put equity and integrity at stake. Standardized tests, such as the SAT and American College Testing (ACT) are not equitable enough to be used to determine an applicant's status of admission.

Based on the information.

About 130 colleges and universities in California no longer require SAT or ACT tests for admission in fall 2022, according to the Los Angeles Times. After the University of California removed the requirement for test scores for admission in 2020, many other colleges and universities followed.

Therefore, Students who will attend community college are not required to take SAT or ACT exams.

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7. Which expressions represent the total area of the
large rectangle? Select all that apply.
A. 6(m+n
B. 6n + m
С. 6n + 6т
D. Omn
E. (n + m)6

Answers

Answer:

D.

Step-by-step explanation:

Not for sure sorry but i think its D or A so so sorry

Suppose that a simple random sample of n = 6 individuals is obtained from a population that is skewed right with mean = 39 and standard deviation o = 2

-

(a) The shape of the sampling distribution of the sample mean is approximately normal Is this true or false?

(b) What is the mean of the sampling distribution of the sample mean?

(c) What is the standard deviation of the sampling distribution of the sample mean?

Answers

The shape is not normal since the sample size (6) is less than 30.

The mean and standard deviation of the sample distribution is 39, and 0.82 repectively

What is a normal distribution?

The normal distribution is a distribution that is symmetric about the mean and has a bell shaped curve.

Given that

n = 6, mean = 39 and standard deviation o = 2.

Hence:

The shape is not normal since the sample size (6) is less than 30.

The mean of the sample distribution = 39, the standard deviation of the sample distribution = 2/√6 = 0.82

Find out more on normal distribution at: https://brainly.com/question/4079902

Thelma and louise drove 341 miles and used 15.5 gallons of gas how many miles did their car get per gallon of gas

Answers

Answer:

22 MPG

Step-by-step explanation:

The miles and the gallons result in the formula Miles per gallon. Which can be substituted as (341 miles) per (15.5 gallons). If you simplify it, the result is  22miles per gallon.

Is anyone good at math and can help me solve my math problems

Answers

Answer:

Hi! I'm not too bad at math so I hope I can help you. Except, I can't seem to find your question so please comment your question(s) to me so that I can help you. Have a great day:)

Is the function even, odd or neither? How do you know?
() = −2^3 - x

Answers

Answer:

algebraically" whether a function is even or odd. To do this, you take the function and plug −x in for x, and then simplify. If you end up with the exact same function that you started with (that is, if f (−x) = f (x), so all of the signs are the same), then the function is even

Step-by-step explanation:

Even functions are symmetrical about the y-axis: f(x)=f(-x). Odd functions are symmetrical about the x- and y-axis: f(x)=-f(-x)

help please i been stuck on this question for the last hour im on the verge of tears

Answers

Answer:

1/2

Step-by-step explanation:

It appears to be 1/2 because the areas labeled "parrots" and "sparrows" takes up half of the pie chart. hope this helped!

Answer: the answer is 1 over 2 as a fraction

Step-by-step explanation:

Please Help Meeeee!!! Will Mark Brainliest!!!

Answers

Answer:

Part A: Yes. For every 10 employees, an increase of 80 products produced.

Part B: y = 8x + 120

Part C: Y-intercept indicates the number of products produced when there are 0 employees. The slope indicates the rate of increase of production with the number of employees

Step-by-step explanation:

Part A: 80 - 0 = 80 employees; 760 - 120 = 640 products. Therefore, 640/80 = 8 products per employee or 80 products per 10 employees

Part B: For y = mx + c ,

m = (Y1 - Y0)/(X1 - X0) = (760 - 120)/(80 - 0) = 8

c = Y-intercept, when X = 0. Therefore c = 120

The hypotenuse of a right triangle measures 4 cm and one of its legs measures 3 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

What is the Pythagorean Theorem?

In a right triangle, where the lengths of its two legs are a and b, and the hypotenuse length is c, the Pythagorean theorem states that: c² = a² + b².

Given the following parameters of the right triangle:

c = 4 cma = 3 cmb = ? (other leg)

Apply the Pythagorean theorem:

b = √(4² - 3²)

b = 2.6 cm (nearest tenth)

Thus, applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

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Factor the trinomial completely

3x^2-5x-2

Answers

Answer:

(x − 2)×(3x+1)

Step-by-step explanation:

We can use this method:

[tex]\begin{aligned}3 x^{2}-5 x-2 &=3 x^{2}-5 x-x+x-2 \\\\&=3 x^{2}-6 x+x-2 \\\\&=3 x \cdot(x-2)+(x-2) \\\\&=(x-2)(3 x+1)\end{aligned}[/tex]

All I did is Subtracting x then adding x which will not affect the result because  -x + x = 0

Help someone out pls!

Answers

Answer: the answer is D

Step-by-step explanation:V = pi (d/2)^2  *  h

V =  pi  (d^2  / 4)   * h

 h =  4V  /  ( pi  * d^2)       (meters) 

A cottage has a gable roof. To the nearest foot, how wide is the cottage?

Answers

I think the answer is 20

Pls someone do this its on test

Answers

Answer:

they get  a 7/24th piece of cake.

Step-by-step explanation:

if we divide 3 1/2 by 12 we get 7/24

we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.

Help if you understand thanks sm

Answers

Answer:

Represents decay ( because .72 < 1  )

The amount decreases 72% each 'x' time period

Step-by-step explanation:

5
Select ALL the correct answers.
Observe the expression below and select the true statement(s).
41 + 9 – y(61 + 7)
The x in the first term is an exponent.
3
The "9" in the second term is a constant.
The "y in the third term is a factor.
The "6" in the third term is a coefficient.
The "4" in the first term is a constant.

Answers

The "x" in the first term is an exponent.The "y" in the third term is a factor.The "6" in the third term is a coefficient.The "7" in the third term is a coefficient.

is zero a rational number? can you write it the form of p/q where p and q are integers and q≠0​

Answers

Answer:

yes, we can write zero in the form of p/q.

[example] that is 0/3, 0/5...

if the simple interest on $800 for 3 years is $60, what is the rate of interest per annum

Answers

Answer:

2.5%

Step-by-step explanation:

Simple interest formula

I = Prt

where:

I = total interestP = principalr = interest rate (in decimal form)t = time (in years)

Given:

I = $60P = $800t = 3 years

Substituting given values into the formula and solving for r:

⇒ 60 = 800 · r · 3

⇒ 60 = 2400r

⇒ r = 0.025

Converting r to percentage:

0.025 × 100% = 2.5%

Answer:

2.5%

Step-by-step explanation:

Given:

Principle: $800Time: 3 yearsSimple interest: $60

Formula:

Simple interest = (Principle × Rate × Time)/100

Substitute the principle, time and the interest in the formula to determine the rate of interest per annum.

[tex]\implies 60 = \dfrac{ (800 \times \text{Rate} \times 3)}{100}[/tex]

Divide 100 to 800 as 800 is the only number in the equation that is divisible by 100.

[tex]\implies 60 ={ (800 \div 100)\times \text{Rate} \times 3}[/tex]

[tex]\implies60 ={ 8\times \text{Rate} \times 3}[/tex]

Simplify both sides of the equation:

[tex]\implies60 ={ 24\times \text{Rate}}[/tex]

Divide both sides by 24.

[tex]\implies\dfrac{60}{24} =\dfrac{{ 24\times \text{Rate}}}{24}[/tex]

Simplify both sides as needed:

[tex]\implies\dfrac{60}{24} = \text{Rate}[/tex]

[tex]\implies\dfrac{60 \div 12}{24 \div 12} = \text{Rate}[/tex]

[tex]\implies \text{Rate} = \dfrac{5}{2} = 2.5[/tex]

Thus, the rate of interest per annum is 2.5%.

Donal buys a 1/4 pound package of cheese. There are 8 slices of cheese in the package. Each slice has the same wieght. What fraction of a pound is each slice?

Answers

Answer:

1/32  lb per slice

Step-by-step explanation:

We want the pounds per slice, or lb/slice.

We have 0.25 lbs and 8 slices, so:  (0.25 lb/8 slices)

(0.25 lb/8 slices) = (1/8)(0.25)

(1/8)(0.25)(4/4) = 1/32 lb per slice

Check:

(8 slices)*(1/32 lb/slice) = 8/32 lb

8/32 = 1/4 lb total  YES

i will give yo 20 points

Answers

Answer:

p = [tex]\frac{q-4}{3}[/tex]

Step-by-step explanation:

q - 2p = p + 4

=> p + 2p = q - 4

=> 3p = q - 4

=> [tex]\frac{3p}{3} =\frac{q-4}{3}[/tex]

=> p = [tex]\frac{q - 4}{3}[/tex]

hope this helps!! p.s. i really need brainliest :)

Answer:

p = (q - 4)/ 3.

Step-by-step explanation:

q - 2p = p + 4

q - 2p - p = 4

-3p = 4 - q

p = -(4 - q)/3

p = (q - 4)/ 3

Suppose $16,250 is invested at an interest rate of 7.9%, compounded continuously. How many years will it take for the investment to double? PLEASE HELP

Answers

Answer:

4 years

Step-by-step explanation:

basically, multiple 16,250 by 107.9%, get the product and multiply that product by 107.9%+ 7.9% and keep on doing that until you eventually get to about 33,000 which is a bit more than double 16,250 but 4 years is still the minimum years it will take to get AT LEAST double. :)

1. Jack pulls a sled across a frozen pond. The force he pulls with is 30 newtons and he does 4500 joules of work to get the sled across the pond. How far does he pull the sled?​

Answers

Answer:

150m

Step-by-step explanation:

work = force x distance

w=fd

d=w/f

d= 4500/30 = 150

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