What is the length of the radius of a cylinder if the diagonal is 15 mm and the height is 12 mm?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let d and r be the diameter and radius, respectively.

d² + 12² = 15²

d² = 15² - 12² = 81

d = √81 = 9

r = d÷2 = 4.5 mm


Related Questions


x varies directly with y. If x is 108 when y is 180, find x when y is 150.

Answers

Answer:

X=90

Step-by-step explanation:

k=3/5

X=3/5×150

X=90

Solve the equation 3x + 2 = x + 4(x +2)

Answers

Answer:

x = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

3x + 2 = x + 4(x + 2)

Step 2: Solve for x

[Subtraction Property of Equality] Subtract x on both sides:                        2x + 2 = 4(x + 2)[Distributive Property] Distribute 4:                                                               2x + 2 = 4x + 8[Subtraction Property of Equality] Subtract 4x on both sides:                      -2x + 2 = 8[Subtraction Property of Equality] Subtract 2 on both sides:                        -2x = 6[Division Property of Equality] Divide -2 on both sides:                                x = -3

Answer:

x=-3

Step-by-step explanation:

3x+2=x+4(x+2)

3x+2=x+4x+8

3x=5x+6

3x-6=5x

-6=2x

x=-3

Which expression is equivalent to − 7 x + 6 ( x − 8 2 ) − 2 ( x + 3 ) + 10 ? A. − 3 x + 40 B. − 15 x − 20 C. − 3 x − 20 D. 15 x + 40

Answers

Answer: D i think

Step-by-step explanation:

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

What is an equivalent expression?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

Simplify the expression, then we have

⇒ − 7x + 6 (x − 8/2) − 2 (x + 3) + 10

⇒ − 7x + 6x − 24 − 2x − 6 + 10

⇒ − 3x − 20

⇒ − (3x + 20)

The equivalent expression of the expression − 7x + 6 (x − 8/2) − 2 (x + 3) + 10 will be − (3x + 20). Then the correct option is C.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ5

someone please help me

Answers

Given info:- In ∆ABC, right-angled at c in which AB = 10in, BC = 26 in and we have to find out the measure of AC = ?

Explanation:

In right angled ∆OCB, AC ⟂ CB,

AB² = AC²+CB²

[By Pythagoras theorem]

(10)² = AC²+(26)²

10*10 = AC²+(26*26)

100 = AC²+676

AC² = 676-100

AC² = 576

AC = √(576)

AC = 24 in.

Hence, the measure of right-agled in which AC is 24 in.

also read similar questions: riangle ABC and XYZ are similar. If AB = 6 in., BC = 13 in., AC = 14 in., and XY = 10in., what is XZ?.....

https://brainly.com/question/23099606?referrer

In a right triangle angle C measures 40 degrees. The hypotenuse of the triangle is 10in long. What is the approximate length of the side adjacent to angle C?....

https://brainly.com/question/4503604?referrer

Grayson is flying a kite, holding his hands a distance of 2.75 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 26


. If the string from the kite to his hand is 145 feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The position of the kite with the point directly beneath the kite at the same

level with the hand and the hand for a right triangle.

The height of the kite above the is approximately 66.314 feet.

Reasons:

The height of his hands above the ground, h = 2.75 feet

Angle of elevation of the string (above the horizontal), θ = 26°

Length of the string, l = 145 feet

Required:

The height of the kite above the ground.

Solution:

The height of the kite above the ground is given by trigonometric ratios as follows;

[tex]\displaystyle Height \ of \ kite, \, k_h = \mathbf{h + l \times sin(\theta)}[/tex]

Therefore;

[tex]\displaystyle Height \ of \ kite, \, k_h = 2.75 + 145 \times sin(26^{\circ}) \approx \mathbf{66.314}[/tex]

The height of the kite above the, [tex]k_h[/tex] ≈ 66.314 feet

Learn more about trigonometric ratios here:

https://brainly.com/question/9085166

If 333 + 555 = 999 And 123 + 456 = 488 And 505 + 213 = 809 Then 344 + 732 = ???

Answers

The answer is: 344 + 732 = 1076

Answer:

1076

Step-by-step explanation:

I just need points lol

I am so confused on what to do with fractions.

Answers

Using the power rule for differentiation, the first derivative of

[tex]f(x) = -x^{\frac12}[/tex]

is

[tex]f'(x) = -\dfrac12 \cdot x^{\frac12-1} = -\dfrac12 x^{-\frac12}[/tex]

and the second derivative is

[tex]f''(x) = -\dfrac12 \cdot \left(-\dfrac12 \cdot x^{-\frac12 - 1}\right) = \dfrac14 x^{-\frac32}[/tex]

which makes E the correct choice.

Elsa drove 715 miles in 13 hours, At the same rate, how long would it take her to drive 275 miles?

Answers

Answer:

Driving 275 miles would take Elsa 5 hrs.

Step-by-step explanation:

Write and solve an equation of ratios:

 715 mi         13 hrs

------------- = --------------

 275 mi              x

This leads to:  715x = 13(275), or x = 5 (hrs)

Driving 275 miles would take Elsa 5 hrs.

Hello! Can ya'll help? If u do you'll get the crown and be put first place on the nice list

Write a word problem that can be represented by the expression 4 3/8 divided by 8

Answers

Answer:

Word Problem: The length of a shoelace is 4 and 3/8    meters. How many shoelaces can be made from an 8-meter lace?

Step-by-step explanation:

What temperature does the thermometer show?

Answers

Answer:

-2°C is the answer

Step-by-step explanation:

Hope this helps:)

When would the following conditional be false?
If you study for the test, then your grade will be higher than a 75.

You study for the test, and your grade is an 80.
You study for the test, and your grade is a 70.
You do not study for the test, and your grade is an 80.
You do not study for the test, and your grade is a 70.

Answers

According to the conditional statement, the false option is:

You study for the test, and your grade is a 70.

The statement is:

"If you study for the test, then your grade will be higher than a 75."

It says nothing about not studying for the test, hence the third and fourth options are ignored.

If you study, you are ensured a grade higher than 75, hence, the false option is:

You study for the test, and your grade is a 70.

You can learn more about conditional statements at https://brainly.com/question/11073037

Which graph represents the function f (x) = 8 Superscript one-third x?

Answers

Answer:

2nd graph

Step-by-step explanation:

Plz mark brainliest

Answer:

Its the second option

Step-by-step explanation:

i just did it

Place the fraction 1/2 on the number line.

Answers

Answer:

in the middle

Step-by-step explanation:

I did this before

1/2 is a half so if the number line starts at a 1 and ends at a 2 it would be in the middle. Please note that 100/500=10/50=1/2

what is 12x⁸/3x² in simplest form, where x>0?

Answers

[tex] \frac{12 {x}^{8} }{3 {x}^{2} } \\ = \frac{12}{3} {x}^{8 - 2} \\ = 4 {x}^{6} [/tex]

Answer:

[tex] {4x}^{6} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

All I need is the answer Please and thank you

Answers

Should be 40ft. If not, I dearly apologize.

Answer:

40ft tall

Step-by-step explanation:

Hope this helps :)

Determine which postulate or theorem can be used to prove that ASEA = A PEN E O A. ASA OB. SSS O C. AAS O D. SAS​

Answers

Answer:

asa is the correct answer

The postulate or theorem can be used to prove that triangles are congruent is ASA rule.

What are congruent triangles?

Two triangles are said to be congruent when they have congruent corresponding parts.

Given is a figure having two triangles, we need to find the rule, that can prove that both the triangles are congruent,

∠ S ≅ ∠ P [given]

∠ SEA ≅ ∠ PEN [vertically opposite angles]

SE ≅ EP [given]

∴ Δ SEA ≅ Δ PEN by ASA rule

ASA rule :-

If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.

Hence, the postulate or theorem can be used to prove that triangles are congruent is ASA rule.

Learn more about congruent triangles click;

https://brainly.com/question/22062407

#SPJ7

Select the correct answer.
If you divide -16 into 5 equal parts, how much is each part equal to?
A.
-4
B.
-3.2
C.
+2.4
D.
+5

Answers

Answer:

B) -3.2

Step-by-step explanation:

-16/5 = -15/5 - 1/5 = -3 - 0.2 = -3.2

Given that a/b=3/5 and b/c=4/5
Find a:b:c giving your answer in its simplest form

Answers

Answer:

12 : 20 : 25

Step-by-step explanation:

Express the ratios in terms of a

[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

3b = 5a ( divide both sides by 3 )

b = [tex]\frac{5}{3}[/tex] a

[tex]\frac{b}{c}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )

4c = 5b ( divide both sides by 4 )

c = [tex]\frac{5}{4}[/tex] b = [tex]\frac{5}{4}[/tex] × [tex]\frac{5}{3}[/tex] a = [tex]\frac{25}{12}[/tex] a

Then

a : b : c

= a : [tex]\frac{5}{3}[/tex] a : [tex]\frac{25}{12}[/tex] a ( multiply each part by 12 to clear the fractions )

= 12a : 20a : 25a ( divide each part by a )

= 12 : 20 : 25

9.608 x 4.09 I need help plzz I will get a f on thing help pls asap

Answers

Answer:

39.29672   hehe

help stranger's I'll give u ​

Answers

Answer:

esto es salsa honestamente hermano como um, es realmente extraño por la forma en que mi nombre es Banana a la tasa de dólares estadounidenses dólares estadounidenses

Queerereeeeeeeeeeeereeeeee

is this correct ? if not what’s the correct answer?

Answers

Yes this is correct because that angle in is with the other angles to

Answer:

yes

option B

you're correct

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
72
The measure of angle is 4. The measure of its reference angle is
and tan eis

Answers

Step-by-step explanation:

the reference angle is the smallest angle difference between the defining terminal arm of the angle and the x-axis. it is always positive.

if an angle is smaller than 90°, then it is is own reference angle.

7pi/4 is 1pi/4 (or simply pi/4) short of a full circle (2pi or 8pi/4).

therefore, if is easy to see that this pi/4 is the reference angle (45°).

tan(7pi/4) = -1, while tan(pi/4) = 1.

for every 45° angel in every quadrant the absolute values of sine and cosine are equal.

but in quadrant 1 both, sine and cosine, are positive, while in quadrant 4 sine is negative and cosine is positive.

and since tan = sine/cosine, this gives us the results above.

PLEASE, LAST POINTS! ( GIVING BRAINLIEST) TO GET BRAINLIEST ANSWER 6 and 8 PLEASE. LAST 10 POINTS!

Answers

Answer:

6; 6⁒2

10; 10⁒2

0; 3(0)+3

1; 3(1)+3

2; 3(2)+3

3; 3(3)+3

4; 3(4)+3

Step-by-step explanation:

each line is in order.

Answer:

  6. inputs: 2, 6, 10

  8. inputs: 0, 1, 2, 3, 4

Step-by-step explanation:

Use your knowledge of arithmetic facts.

6.

x = 2, 2÷2 = 1

x = 6, 6÷2 = 3

x = 10, 10÷2 = 5

__

8.

x = 0, 3×0 +3 = 3

x = 1, 3×1 +3 = 6

x = 2, 3×2 +3 = 9

x = 3, 3×3 +3 = 12

x = 4, 3×4 +3 = 15

If f(x)=3x+2 and g(x)=x2−x, find the value. f(x)+1

Answers

Answer:

F(x) +1 = 3x+3

Step-by-step explanation:

F(x)+1= 3x+3

If a die is thrown, the probability of getting even number is
a)1/2 b)1/6 c)1/3 d) 2/3

Answers

Answer:

A 1/2

Step-by-step explanation:

Its a half chance since theres 6 sides so 1/2:)

Sample space of a throwing of a die - {1, 2, 3, 4, 5, 6}Number of trial = 6Numbers which are even = 2, 4, 6Number of number which are even = 3Therefore, probability of getting an even number [tex] = \frac{3}{6} = \frac{1}{2} [/tex]

Answer:

[tex]b) \frac{1}{2} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

. Mahesh worked in a firm for a certain number of years which equals
the sum of degrees of + − +
and

+

+ . Find the number of years he worked.

Answers

The sum of numbers or expression involves adding the expressions and the numbers together.

Assume that the sum of the degrees is given as:

[tex]Sum = 3 + 4 - 2 + 1[/tex]

The above sum can be rewritten as:

[tex]Sum = 3 + 4 +(- 2) + 1[/tex]

Take the sum of all the numbers (including -2 in bracket)

[tex]Sum = 6[/tex]

If the sum of the degrees is given as [tex]Sum = 3 + 4 - 2 + 1[/tex], then the number of years he worked would be 6

Read more about sum at:

https://brainly.com/question/11562149

what is the cosine rule

Answers

Answer:

The sum of the squares of the lengths of the other sides minus twice the product of the other two sides multiplied by the cosine of angle contained between them equals the square of the length of any side of a given triangle.

Step-by-step explanation:

hope it helps

Are the ratios 12:6 and 2:1 equivalent?

Answers

Answer:

no

Step-by-step explanation:

https://brainly.com/question/18232055

Answer:

Yes!

Step-by-step explanation:

Here, ratios can be rewritten by fractions.

12:6 is [tex]\frac{12}{6}[/tex] which equals to 2,

2:1 is also [tex]\frac{2}{1}[/tex] which is 2.

To get 12 from 2, you multiply by 6.

Multiply the same thing to the denominator(1), and you get 6. So:

12:6 = 2:1

Which expression is equivalent to 3/5x +3

2/5x + 1/5x

4/5x - 1/5x + 3

2/5x + 3 3/5x -1

1 + 3/5x + 2

1 +x/5 + 2

1 + 2/5x +3

Answers

3/5 c 3 + 3 is equivalently

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

1 inch : 50 miles

Step-by-step explanation:

550 miles / 11 inches = 50miles/inch

Every inch on the map represents 50 miles.

550 miles. Explanation First, we know that each 1,4 (quarter) of an inch
equals 50 miles, and we know that four 1.4s
equals one. so, using that information, we have
23/4. so the 2 has 8 quarters, and then we have
3 quarters left. so we add the 8 quarter's and
the 3 quarter's, to get 11. and since each quarter
is equal to 50 miles, we multiply 50 by 11.
Other Questions
Answer the question below Which neutral atom is isoelectronic with N-3? how to download film HOW CAN YOU SAY THERE ARE MORE FACILITES EDUCATION IN A CiTY Plzzzzz helpppppp meeeee I am dooo confused 1. Three students are using sports equipment to model the relative motion ofEarth, the moon and the sun.A. Identify which ball would be used to model the Sun, Earth and the MooB. Describe the relative (in relation to each other) motions of these bodies Graph the solution to the following system of inequalities.-7x + 5y < -105x + 4y > 8Then give the coordinates of one point in the solution set. 1. List the ketose carbon(s) that is(are) reduced with NaBH4. pls answer quickly But the answerwhich of the following measurement is the smallest?A) kilogramB) GramC) centigramD) milligram unit 5 relationships in triangles homework 1 triangle midsegments what radio personality was the voice of shaggy in scooby doo Does anyone know the correct order of this? Please help. Thank you so much 3. Explain why the statement "electrons are always located close to the nucleus of an atom" is not really accurate, Floretta, a pitcher, claims that her pitch speed is less than 46 miles per hour, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She throws 24 pitches. The mean speed of the sample pitches is 37 miles per hour. Floretta knows from experience that the standard deviation for her pitch speed is 5 miles per hour.H0: 46; Ha: The formula for the area of an ellipse is Arnab. Using a + b = 20 write the area ofthe ellipse as a function of a by solving for a and then plugging in your resultsinto the formula for the area of an ellipse to replace b. When might you take a deep breath? using text evidence, how did everytbing start going wrong after Herbert returned in The Monkeys Paw. Rapid Rental Car charges a $40 rental fee, $15 for gas, and $0.25 per mile driven. For the same car,Capital Cars charges $45 for rental and gas and $0.35 per mile. For bow many miles is the rental cost atboth companies the same? How many weeks were kids under the age of 12 in school in the 1900s The reader can tell from the article that __________.Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selectedA. Harger is probably not happy that Charles Buffum found the Revenge shipwreck.B. The Navy has never before decided to salvage the remains of a shipwreck.C. The role of the Great Lakes during the War of 1812 is not known by many historians.D. Buffum is probably happy that he read the book Shipwrecks on the Shores of Westerly.