If a cone has a height of 8 inches and a side measurement of 10 inches, what is the radius of its base?

Answers

Answer 1

Answer:

r = 6 inch

Step-by-step explanation:

Given that,

The height of a cone, h =8 inches

The slant height of the cone, l = 10 inches

We need to find the radius of the base. The relation between height, radius and the slant height of the cone is given by :

[tex]r=\sqrt{l^2-h^2} \\\\r=\sqrt{10^2+8^2} \\\\r=6\ inch[/tex]

So, the radius of its base is equal to 6 inches.


Related Questions

Find mADB unit 7 geometry

Answers

Answer:

∠ ADB = 59°

Step-by-step explanation:

The vertices of a rectangle are right angles, then

∠ ADB + 31° = 90° ( subtract 31° from both sides )

∠ ADB = 59°

in the figure above, the area of square ABCE=x^2 and DC=y. What is the area of triangle AED?

Answers

Answer:

The area of triangle AED = (x^2-xy)/2

Step-by-step explanation:

Mathematically, the area of a square is the product of its side lengths

Thus, if the area is x^2; then the side of the square measures x

So each of the side of the square has a measure x units

Now, for the base of the square;

EC = ED + DC

x = ED + y

ED = x - y

Mathematically, the area of a triangle is the product of the base and the height of the triangle divided by 2

The height here is x and the base is (x-y)

We have this as;

Area of triangle AED =

1/2 * x * (x-y)

= (x(x-y))/2

= (x^2-xy)/2

Trey has a bookcase with 8 shelves. Each shelf has 40 books. How many books are in the bookcase

Answers

Answer:

8x40=320

Step-by-step explanation:

According to the given question we can infer that here are 320 books in the bookcase.

If Trey has a bookcase with 8 shelves, and each shelf has 40 books, the total number of books in the bookcase can be calculated by multiplying the number of shelves by the number of books per shelf.

Total number of books = Number of shelves × Number of books per shelf

Total number of books = 8 shelves × 40 books per shelf

Calculating the multiplication:

Total number of books = 320 books

Therefore, there are 320 books in the bookcase.

To know more about multiplication here

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Write an equivalent expression.
−2​(7+6g​)
Choose the correct answer below.
A.
−2​(7+6g​)=6g−14
B.
−2​(7+6g​)=−2−12g
C.
−2​(7+6g​)=−14+6g
D.
−2​(7+6g​)=−14−12

Answers

Answer:

Given

−2​(7+6g​)

Distribute:

-2(7) - 2(6g) = -14 - 12g

It should be D but it is missing g at the end, must be typo

Answer:

−2(7+6g) = -14 - 12g

________________

HELPPP ME PLEASEEE IM JUST SLOW

Answers

Answer:

Solve it, you can do it!

Step-by-step explanation:

Multiply 4 2/3 and then divide what you get with 7

Answer:

1.5 or 1 1/2

Step-by-step explanation:

4 2/3 / 7

14/3 / 7

3 * 7 = 21

21/14 =

1.5

edit 1: i changed the / to an or to make it less confusing

ill mark brainliest, question is attached

Answers

Answer:

v = 7

Step-by-step explanation:

So, I used a go.ogle calculator for this, so I don't evidence, but here

hope this helps:)

Answer:

v=7

Step-by-step explanation:

[tex]3(3v-4)=51\\9v-12=51\\9v=51+12\\9v=63\\v=\frac{63}{9}\\v=7[/tex]

Una bacteria se divide en dos cada 6 minutos Si a las 12:15 horas se coloca una bacteria en un recipiente¿ A que hora habrá 128 bacterias en el recipiente?

Answers

Answer:

A las 12:57 horas habrá 128 bacterias en el recipiente.

Step-by-step explanation:

Una función exponencial es aquella en que la variable independiente x aparece en el exponente y tiene de base una constante a. Su expresión es:

f(x)= aˣ

Siendo a un real positivo, a > 0, y diferente de 1.

Cuando 0 < a < 1, entonces la función exponencial es una función decreciente y cuando a > 1, es una función creciente.

Algunos tipos de bacterias se reproducen por "mitosis", dividiéndose la célula en dos cada espacios de tiempo pequeños, como sucede en este caso. Entonces, "a" tendrá un valor de 2, que es la cantidad en la que se divide la bacteria, y "x" será los intervalos de tiempo. Si hay 128 bacterias en el recipiente, la expresión exponencial del crecimiento de la bacteria en x intervalo de tiempo será:

2ˣ= 128

Una manera de resolver la x es aplicando logaritmos. Entonces, aplicando el logaritmo común de ambos lados. (Cuando la base no está escrita, se trata de la base 10):

log (2ˣ) = log (128)

Aplicando la propiedad de la potencia de los logaritmos:

x* log (2)= log (128)

x= log (128) ÷ log (2)

x= 7

Cada intervalo de tiempo tiene 6 minutos, que es el tiempo en que una bacteria se divide en 2. Entonces, el tiempo que se tarda en obtener 128 bacterias se calcula como:

7 intervalo* 6 minutos= 42 minutos

Si a las 12:15 horas se coloca una bacteria en un recipiente, entonces el horario a la que habrá 128 bacterias se calcula como:

12:15 + 42 minutos= 12:57

A las 12:57 horas habrá 128 bacterias en el recipiente.

The dot plot shows the number of hours that students spent watching TV.

Select all the statements that are true.

A. A typical student from this group spends more than 10 hours watching television each week.

B. More students watch 3 hours of television than watch more than 3 hours of television.

C. All students watch 20 or fewer hours of television each week.

D. The most common answer for the number of hours that a student watches per week was 3.

E. Some students do not watch any TV during the week.

Answers

Answer:

B C and D

Step-by-step explanation:

common sense

Delta Math Help!!!
Triangle proofs help. I’ve gotten this far, but I have no idea what to do next!!

Answers

i can’t see it take another picture

The triangle ΔBAD is congruent to the triangle ΔCDA by SSS postulates.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

If the corresponding sides of the triangles are equal. Then the triangles will be a congruent triangles. And it is known as SSS postulates.

BD = AC and AB = CD

In triangles ΔBAD and ΔCDA, we have

BD = AC             (Given)

AB = CD             (Given)

AD = AD             (Common side)

Then the triangle ΔBAD is compatible with the triangle ΔCDA by SSS proposes.

More about the triangle link is given below.

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ok 1502837598758623875 x 9364876408763o17360876356217356

Answers

Answer:

1.4073888e+48

Step-by-step explanation:

Danielle earns a 7.5% commission on everything she sells at the electronics store where she works. How much commission did she earn last week if she sold $3,500 in electronics merchandise?

Answers

Answer:

$262.5

Step-by-step explanation:

Given data

Commission earned= 7.5%

Sales for last week=  $3,500

Let us find the amount of the commission

=7.5/100* 3500

=0.075*3500

=$262.5

Hence the commission earned last week is

$262.5

what the answer for Q 1 and 2

Answers

Answer:

yung 70

Step-by-step explanation:

i hope its help

carry on learning

Which of the following is not a career in environmental science? a. Hydrologist b. Toxicologist c. Physiologist d. Ecologist Please select the best answer from the choices provided

Answers

Answer:

C

Step-by-step explanation:

No doubt thats the correct answer guys, thank me later

The volume of a sphere is 11,488.21 .To the nearest ​yard, what is the radius of the​ sphere? Use 3.14 for

Answers

Answer:

The formula for the volume of a sphere is V = 4/3 πr³. See the formula used in an example where we are given the diameter of the sphere

Which of the following scenarios is the best fit for the graph?
A. The value of a $100 stock grows in value by 10% each year.
B. The batting average of a baseball team increases by 50 points each year.
C. The population of a small town decreases by 10% each year.
D. A class's percent correct on a standardized Algebra I test increases after using a new software program.

Answers

Answer: A

Step-by-step explanation:

The correct option is A.

What is an exponential function?

In mathematics, an exponential function is a function of form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given is that a graph,

So, from the graph we can concluded that it is an exponential and positive function,

Therefore, as x increases y also increases.

We know that the exponential function is given by =

y = abˣ

So, when x = 0, y = 100,

100 = a × b⁰

a = 100

When x = 4, y = 150,

150 = 100 × b⁴

b⁴ = 1.5

b = 1.11

y = 100(1.11)ˣ

Change = 110-100 / 100 × 100% = 10%

Therefore, we can say the value of a $100 stock grows in value by 10% each year.

Hence the correct option is A.

Learn more about exponential function click;

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The perimeter of the soccer field at Beth's school is 280 meters. Its length is 95 meters.
What is its width?

Answers

Answer:

The width is 45 meters

Step-by-step explanation:

P = 2(l + w) =2 · (95 + 45) = 280

Express 3.813 as a mixed number

Answers

Answer:

3*81/100

Step-by-step explanation:

solve in area formula​

Answers

These will be steps, hope it helps

Please help its due soon ill give brainlest

Answers

The area of this is 695.294!

help plz due 20 min ill give brainliest

Answers

Answer:

Given: BC || AD and AB || CD. Prove: AB = CD. Complete the ... 4. 5. △ABC ≅ △CDA. 5. 6. AB = CD. 6. ______ a) Transitive Property b) Given c) CPCTC.

Step-by-step explanation:

What is the formula base x height =area like what is that shape of base x height =area

Answers

Answer: Formula: ½ x base x height or ½ b x h or ½ bh The base is measured by length The height is measured by length The height and the base must form a 900 angle. 900 angle is a right angle.

Step-by-step explanation:

Which of the following shows the equation log Subscript 4 Baseline (x + 6) = 2 rewritten using logarithms?

Answers

Answer: The answer is c log4(x+6)=log4 16

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A big league pitching coach tries to limit his pitchers to 110 pitches per game. If the pitcher has
already thrown 52 pitches, write and solve an inequality to find how many more pitches he can
throw before reaching the limit.*
Type your inequality AND your answer as a sentence.

Answers

The pitcher can throw 58 until he reaches the limit, hopefully I helped :)

Is the relationship between the variables a direct variation, an inverse variation or neither? If there is a variation write the function rule, where x is 2,3,4,5 y = 9,6,4.5,3.6

Answers

Answer:

Indirect variation

Rule: [tex]y = \frac{18}{x}[/tex]

Step-by-step explanation:

Given

[tex]x \to 2,3,4,5[/tex]

[tex]y \to 9,6,4.5,3.6[/tex]

Required

Determine the type of variation

For direct variation, we have:

y increases, as x increases

In the above function, y decreases, as x increases

Hence, it is not a direct variation

Indirect variation.

In an indirect variation, y decreases, as x increases

And the equation is given as:

[tex]y = \frac{k}{x}[/tex]

Make k the subject

[tex]k =xy[/tex]

Where k is the constant of variation.

For:

[tex](x,y) = (2,9)[/tex]

[tex]k = 2 * 9 = 18[/tex]

For:

[tex](x,y) = (3,6)[/tex]

[tex]k = 3 * 6 = 18[/tex]

For every other values;

[tex]k = x * y = 18[/tex]

Hence, it is an indirect variation.

The rule is:

[tex]y = \frac{k}{x}[/tex]

Substitute 18 for k

[tex]y = \frac{18}{x}[/tex]

24 What is 0.64 rounded to the tenths place? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.​

Answers

the correct answer is 0.6

Answer:

0.6 is the answer hope this helps

have a nice day bye

If y = 160 (2x) , what is y if x = 2?
No Files or links. Just the answer.

Answers

Answer:

640

Step-by-step explanation:

hope that helps you out

Find the area of each.2)18in A)64 B)49 C)81 D)100

Answers

Answer: It's C

Step-by-step explanation:

If the simple interest on a sum of money at 5% per annum for 3 years is $
1200, then the compound interest on the same sum for the same period
at the same rate will be .........
*​

Answers

Answer:

$1207.96

Step-by-step explanation:

The accumulated value for simple interest is defined by the following formula:

FV=PV(1+it)

we have (where x is the present value or PV)

1200= x(1+.05*3)

Solve for x

1200=1.15x

x=1043.478261

We now need to use the equation for annually compounding interest

[tex]FV=PV(1+i)^t[/tex]

We have

[tex]1043.4782(1+.05)^3\\1207.956522[/tex]

which rounds to

$1207.96

Anaijah is starting her new clothing line. She sells t-shirts for $10 each and hoodies for $25 each. If on Saturday Anaijah sells 9 items and makes $120. Write a system of equations that can be used to determine how many of each item did Anaijah sell. Make sure to define all variables

Answers

Answer:

9x = 120

x= [tex]\frac{43}{3}[/tex]

Step-by-step explanation:

A rectangle has an area of 24 square units and a side length of 2 3/4 units. Fnd the other side length of the rectangle .
a. 8 8/11
b. 10 4/11
c. 9 7/11

Answers

Answer:

c

Step-by-step explanation:

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