pls help me
solve for r

Pls Help Mesolve For R

Answers

Answer 1

Answer: r = 16

Step-by-step explanation:

We know that triangle ABC is a right triangle.

Therefore, we can use the pythagorean theorem to solve for r.

r^2 + 30^2 = (r+18)^2

r^2 + 900 = r^2 + 36r + 324

Combine like terms:

36r = 576

Divide both sides by 36:

r = 16


Related Questions

What is f(4) for the function f(x)=7x+1​?

Answers

Answer:

29

Step-by-step explanation:

substitute 4 for x into the function so 7x+1 would be (7*4)+1

7*4=28

28+1=29

The population of a city increases by 5% every year. If it’s population today is 300,000 what will it’s population be in 2 years?

Answers

Answer:

Population after n years = Present Population =(1+

100

r

)

n

Population after 2 years =50000(1+

100

5

)

2

=50000(

100

105

)

2

=50000×

100

105

×

100

105

=5×105×105=55125

Step-by-step explanation:

Help needed ASAP

Please answer without rounding if you need to round

Answers

Answer:

you dont need to round

Step-by-step explanation:

multiply v and U and then add the other numbers and that should work

Answer:

[tex]\huge\boxed{\sf r = 37\ mm}[/tex]

Step-by-step explanation:

Let the radius be r

UV is tangent to the circle T which means UV is perpendicular to UT, that makes ΔUVT a right-angled triangle.

Which means:

∠TUV = 90°

So, We can use pythagoras theorem to find the radius of the circle.

In the Δ:

Hypotenuse = r + 9

Base = r

Perpendicular = 12

Pythagoras Theorem:

(Hypotenuse)² = (Base)² + (Perpendicular)²

(6 + r)² = (r)² + (22)²

(6)² + 2(6)(r) + (r)² = r² + 484

36 + 12r + r² = r² + 484

Subtract r² to both sides

36 + 12r = 484

Subtract 36 to both sides

12r = 484 - 36

12r = 448

Divide both sides by 12

r = 448/12

r = 37 mm

[tex]\rule[225]{225}{2}[/tex]

Factor 4x2 + 15x - 54 -​

Answers

Answer:

I believe the answer is (4x−9)(x+6)

Answer:

[tex]27x^{4}-x[/tex]

[tex]x^{3} +216[/tex]

[tex]x^{2} +6x+9[/tex]

Step-by-step explanation:

Answer the questions based on the results of the t-shirt sales analysis shown by the regression calculator. if the t-shirts are priced at $13 each, what is a reasonable prediction for the number sold? 10 t-shirts 15 t-shirts 18 t-shirts 20 t-shirts

Answers

The Linear Regression Equation has the form Y= a + bX. The reasonable prediction for the number of t-shirts sold is 18.

What is the Linear Regression Equation?

The Linear Regression Equation has the form Y= a + bX, where Y is the dependent variable (that's the variable that goes on the Y-axis), X is the independent variable (i.e. it is plotted on the X-axis), b is the slope of the line and a is the y-intercept.

In order to calculate the reasonable prediction for the number of t-shirts sold, we need to find the function of the given graph below.

As we can see that the function of the graph is linear(line), therefore, we take two points, to find the value of the slope and the value of the constant.

[tex](x_1,y_1)=(10,25)\\(x_2,y_2)=(15,12)[/tex]

The value of the slope can be written as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{12-25}{15-10}=\dfrac{-13}{5}[/tex]

Now, substitute the value of any one point in the equation of the line,

[tex]y=mx+c\\\\y_1=\dfrac{-13}{5}x_1+c\\\\25=(\dfrac{-13}{5}\times 10)+c\\\\25=-26+c\\\\51=c[/tex]

As the price of the t-shirt is $13, therefore, the value of y(or the reasonable prediction for the number of t-shirts sold) can be found,

[tex]y=\dfrac{-13}{5}x+51\\\\y =(-2.6 \times 13)+51\\\\y = 17.2[/tex]

The value of the reasonable prediction for the number of t-shirts sold is 17.2 which is close to 18.

Hence, the reasonable prediction for the number of t-shirts sold is 18.

Learn more about Linear Regression Equation:

https://brainly.com/question/25311696

Answer:

answer in picture

Step-by-step explanation:

the prime factorization of 171 using exponents.

Answers

Answer:

the prime factorization of 171 can be written as 32 × 191 where 3, 19 are prime.

mark me as brainliest

The expression c(16x + 14) is equivalent to 32x +d. What are the values of c and d?

Answers

We are told that c(16x + 14) = 32x + d

Now, if  16x + 4 is multiplied by 2 we will have:

2(16x+14)=32x+28

then 32x + 28 = 32x + d

∴ d = 32x+28-32xd= 0+28d= 28

Since C(16x+14) = 32x+d

and 2 (16x+14) = 32x + d

then c = 2, d = 28

how many combinations can be made with 3 coins?

Answers

Answer:

heads, heads, heads

tails, heads, tails

tails, tails, tails

heads, tails, heads

heads, heads, tails

tails, heads, heads

tails, tails, heads

heads, tails, tails

▬▬In Conclusion▬▬

8 combinations are possible.

HELP ASAP! Find solutions (MULTIPLE) for the equation:
6^x+2=8
E is a correct answer, I need help finding the others
(100 points!!)

Answers

Answer:

[tex]x = \frac{3in(2)}{in(6)} - 2[/tex]

Solving steps:

[tex]-›6 {}^{x + 2} = 8[/tex]

Apply exponents rule

[tex]-›(x +2)in(6) = in(8)[/tex]

Solve for (x + 2) in(6) = in(8)

[tex]-›x = \frac{3in(2)}{in(6)} - 2[/tex]

[tex]\\ \rm\rightarrowtail 6^{x+2}=8[/tex]

[tex]\\ \rm\rightarrowtail (6)^{x+2}=2^3[/tex]

[tex]\\ \rm\rightarrowtail ln6^{x+2}=ln2^3[/tex]

[tex]\\ \rm\rightarrowtail (x+2)ln6=3ln2[/tex]

[tex]\\ \rm\rightarrowtail xln6+2ln6=3ln2[/tex]

[tex]\\ \rm\rightarrowtail xln6+2ln2+2ln3=3ln2[/tex]

[tex]\\ \rm\rightarrowtail xln6+2ln3=3ln2-2ln2[/tex]

[tex]\\ \rm\rightarrowtail xln6+2ln3=ln2[/tex]

[tex]\\ \rm\rightarrowtail xln3+xln2+2ln3=ln2[/tex]

[tex]\\ \rm\rightarrowtail (x+2)=\dfrac{ln8}{ln6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{ln8}{ln6}-2[/tex]

Another

[tex]\\ \rm\rightarrowtail (x+2)ln6=ln8[/tex]

[tex]\\ \rm\rightarrowtail (x+2)ln6=ln2^3[/tex]

[tex]\\ \rm\rightarrowtail (x+2)ln6=3ln2[/tex]

[tex]\\ \rm\rightarrowtail x+2=\dfrac{3ln2}{ln6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{3ln2}{ln6}-2[/tex]

30x30 becuse i need a better answer

Answers

30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+ 30+30+=900

Answer:

Step-by-step explanation:

30x30 is 900

x÷-1.2= -0.3 i need help with this asap pls and thank you ​

Answers

0.3×1.2

=0.36

−0.3,1.2→Negative

−0.36

Hey there!


x ÷ -1.2 = -0.3

REWORD

x/-1.2 = -0.3

TRANSLATE
1/-1.2x = -0.3

-0.833333x = -0.3

DIVIDE -0.833333 to BOTH SIDES

-0.833333x/-0.833333 = -0.3/-0.833333

SIMPLIFY IT!

x = 0.360000144

x ≈ 0.36


Therefore, your answer is: x = 0.36



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

12.5=-1.5+b/0.1 solve for b

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:b=11/10
Decimal Form:b=1.1
b=1 1/10

Solving the linear equation 12.5 = -1.5 + b/0.1, value of b is 1.4

What is an linear equation in one variable?

Linear equation is an equation containing one unknown variable with power one and constants.

The standard form of an linear equation in one variable x is :

ax + b = 0 , where a, b are constants

x= -b/ a is solution of this equation or we can solve this equation by adding or subtracting same number to both sides.

To solve  equation : 12.5 = -1.5 + b/0.1

Adding 1.5 to both sides

12.5 +1.5 = -1.5 +1.5 + b/0.1

14 = b/0.1

Multiply both sides by 0.1

0.1 *14 = 0.1(b/0.1)

1.4 = b

Therefore, the value of b on solving linear equation 12.5 = -1.5 + b/0.1 is 1.4

Also, learn more about linear equation from the link below:

https://brainly.com/question/24145091

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Which inequality best represents the domain of the part shown?

Answers

Answer:

y>1

Step-by-step explanation:

mark me brainliest!!

Question 6 of 10
What is the length of the altitude of the equilateral triangle below?
30"
6
6
a
60° 90°
3
60"
3
O
A. 613
O
B. 1
C. 6
Ο Ο O
D. 3
E. 3/5
O
F. 27

Answers

Answer:

The answer is B. 9

Use cosine rule. In this case, I am using SOH and the right triangle:

sin 60°= a ÷ 6 root 3

(6 root 3)(sin 60°)= a

a=9

Step-by-step explanation:

i need help with this please:)

Answers

Hi!

- - - - - - - - - - - - - - - - - - - -  

To start, let's add/subtract the fractions (by finding common denominators). Below them are your answers!

1) 1/2 (5/10) + 1/5 (2/10) = 7/10

1) Yes

2) 1/5 (2/10) - 1/10 (Same) = 1/10

2) No

3) 1/2 (5/10) + 2/5 (4/10) = 9/10

3) No

4) 4/5 (8/10) + 1/10 (Same) = 9/10

4) No

- - - - - - - - - - - - - - - - - - - -  

Have a great day/night! :)

~pinetree

How can you apply the rice method when left arm fracture​

Answers

Rest: Rest and protect the injured or sore area. Stop, change, or take a break from any activity that may be causing your pain or soreness.

Ice: Cold will reduce pain and swelling. Apply an ice or cold pack right away to prevent or minimize swelling. Apply the ice or cold pack for 10 to 20 minutes, 3 or more times a day. After 48 to 72 hours, if swelling is gone, apply heat to the area that hurts. Do not apply ice or heat directly to the skin. Place a towel over the cold or heat pack before applying it to the skin.


Compression: Compression, or wrapping the injured or sore area with an elastic bandage (such as an Ace wrap), will help decrease swelling. Don't wrap it too tightly, because this can cause more swelling below the affected area. Loosen the bandage if it gets too tight. Signs that the bandage is too tight include numbness, tingling, increased pain, coolness, or swelling in the area below the bandage. Talk to your doctor if you think you need to use a wrap for longer than 48 to 72 hours; a more serious problem may be present.

Elevation: Elevate the injured or sore area on pillows while applying ice and anytime you are sitting or lying down. Try to keep the area at or above the level of your heart to help minimize swelling.

Guys I really need help with this it's an emergency!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

2+2=?

Answers

Answer:

4!!!

Step-by-step explanation:

or 22

Mark me brainliest will ya!

if there are 1725 students and 54% do not have TV's and 46% do have TV's how many students don't have TV's

Answers

Answer:

Step-by-step explanation:

The answer is 931.5 students do NOT have TV's. Just in case, 793.5 students DO have TV's.

Solve the following absolute value equation. ​

Answers

Answer:

x= 8

x= -8

Step-by-step explanation:

|x+1| /3 = 3

|x+1| = 9

|x| + |1| = 9

|x| = 8

x= 8

x= -8

PLEASE HELP!!! I RLLY NEED THIS!!​

Answers

Answer:

28 cm per year

5.5 years

Step-by-step explanation:

In three years time, the height of the tree grew from 190 to 274, that's an increase of 84 cm. Divice that by the number of years it took. So you get this calculation:

(274-190)/3 = 28

When the tree was 344 centimeters tall, the increase was 344-190 = 154. Divide that by the 28 found earlier to get 154/28 = 5.5 years.

Workers Inc. just bought 10 boxes of pens to put in their storage room for employees to use as needed. Each box contains 30 pens. If each of the 32 employees working for Workers Inc. takes 3 pens when they are first brought into the office, how many pens will be left in the storage room?

A. 268
B. 204
C. 297
D. 230

Answers

Answer:

B. 204 pens

Step-by-step explanation:

If you have 10 boxes of 30 pens each, the problem would be like so:

10 x 30 = 300

Now, since we have 32 workers that each take 3, this turns into:

32 x 3 = 96

Finally, because 300 is the total amount of pens and 96 is the amount taken, we just subtract to get:

300 - 96 = 204 pens

You have $30 to spend on paint and clay. The equation 2x + 6y = 30 represents this situation, where x is the number of paint bottles and y is the number of tubs of clay. Graph the equation. Interpret the intercepts. How many bottles of paint can you buy if you buy 3 tubs of clay? Justify your answer.

Answers

Answer:

You can buy 6 bottles of paint if you buy 3 tubs of clay

Step-by-step explanation:

2x+6(3)=30 is 2x+18=30

30-18=12

12/2=6

The system of equation is solved and the x-intercept is (15, 0) and y-intercept is (0, 5)

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To graph the equation 2x + 6y = 30, we need to rewrite it in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept

2x + 6y = 30

6y = -2x + 30

y = (-2/6)x + 5

y = (-1/3)x + 5

To interpret the intercepts, we look at the x-intercept and y-intercept of the graph

X-intercept: To find the x-intercept, we set y = 0 and solve for x

y = (-1/3)x + 5

0 = (-1/3)x + 5

(-1/3)x = -5

x = (-5) / (-1/3)

x = 15

The x-intercept is (15, 0), which means that when y = 0, we can buy 15 bottles of paint and no tubs of clay with the available $30

Y-intercept: To find the y-intercept, we set x = 0 and solve for y.

y = (-1/3)x + 5

y = (-1/3)(0) + 5

y = 5

The y-intercept is (0, 5), which means that when x = 0, we can buy no bottles of paint and 5 tubs of clay with the available $30

Hence , if 3 tubs of clay are purchased, we can buy 6 bottles of paint

To learn more about equations click :

https://brainly.com/question/19297665

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Find the mssing length.

A. 64
B. 100
C. 12
D. 48​

Answers

Answer:

48

Step-by-step explanation:

I do not have one sorry!

The value of the missing length in the triangle is b. 100

How to calculate the value of the missing length

from the question, we have the following parameters that can be used in our computation:

The triangle

The height is calculated using the Pythagoras theorem as

h²= 60² - 36²

So, we have

h²= 2304

Evaluate

h = 48

Next, we have

(x -36) * 36 = 48 * 48

When evaluated, we have

x -36 = 64

So, we have

x = 64 + 36

Evaluate

x = 100

Hence, the value of x is 100

Read more about right triangles at

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No results found for Evaluate when x = -3 and y= -1:

x-xy

A. -4

B. -3

C. 0

D. -6

Answers

Answer:

D

Step-by-step explanation:

-3 - (-3)(-1)

-3 - (3)

-6

solve missing side of triangle one side is 4cm and other 8cm ​

Answers

Answer:

Using the "Pythagorean Theorem" formula:

a^2 + b^2 = c^2 we can find the hypotenuse of this triangle.

Replace the values of a, b, and c with it's actual values;

8^2 + 4^2 = __^2 ← our missing value

64 + 16 = 80, now we need to find the square root of 80:

√80 = 8.944, which equals to around 8.9.

so to rewrite:

8^2 + 4^2 = 8.9^2, so 8.9 is your answer.

Without putting the first card back, you pick a second card at random. 4, 5, 6, 7 What is the probability of picking an odd number and then picking an even number? Write your answer as a fraction or whole number

send help ​

Answers

Answer: 1/3

Step-by-step explanation:

the card is not being replaced, so it is a dependent event.

Event A: picking an odd number

There are 4 cards total, and 2 odd numbered cards.

P(A) = 2/4 = 1/2

Event B: picking an even number.

There are now three cards total, because the card from Event A was not replaced. There are two even numbered cards.

P(B) = 2/3

P(A+B) = P(A) x P(B)

P(A+B) = 1/2 x 2/3 = 2/6 = 1/3

help me guys :) I need good answer:)​

Answers

Step-by-step explanation:

hopefully I think hope you will understand

A company provides bus trips to various events for adults and children. The company charges $15 for each adult and $8 for each child for a trip to an upcoming play. The bus has a maximum capacity of 40 people, and the company needs to earn a minimum of $400 from this event to make a profit. Write a system of inequalities that represents this situation and graph it.

Answers

x+y=40

15x+8y=400

Step-by-step explanation:

x= Adults

y= Children

$15 dollars per "X" adults + $8 dollars per "Y" children = 400 dollars, and "X" adults + "Y" children = 40 people on the bus.

Florence has 7 liters of milk. She pours 34of a liter into her glass. How much milk is left?

Answers

Answer:

6.66 liters

Step-by-step explanation:

34% of one liter would leave 66% of the liter left, and if you were to add the other 6 liters to it, you would get your answer.

( I need help please….)

Answers

Step-by-step explanation:

the independent variable is "Time", as this simply processes independently of any number of people present.

the dependent variable is "Number of People" as this changes depending on the time of the day.

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