What number is a prime factorization of 60

Answer:

Step-by-step explanation:

Since AB = AC and the triangle is isosceles:

The angles:

Answer:

V = 96 pi m^3

Step-by-step explanation:

V = (1/3) pi(r^2)h

Radius = 1/2(Diameter)

R = 1/2(12)

R = 6

Input.  

V = (1/3) pi(6^2)8

Solve.

V = (1/3) pi(36)8

V = (1/3) 904.32

V = 301.44

V = 301.44/pi

V = 96 pi m^3

Answer:

The correct answer is option (C) 96π m³.

Step-by-step explanation:

As per given question we have provided that :

Here's the required formula to find the volume of cone :

[tex]{\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}[/tex]

Substituting all the given values in the formula to find the volume of cone :

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6)}^{2}8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6 \times 6)}8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi \times {(36)} \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3} \times \pi \times 36 \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{\cancel{3}} \times \pi \times \cancel{36} \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \pi \times 12 \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \pi \times 96}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} =96\pi}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{V_{(Cone)} =96\pi \: {m}^{3}}}}}}[/tex]

Hence, the volume of cone is 96π m³.

[tex]\rule{300}{2.5}[/tex]

Answer:

133° because vertically opposite angles are equal!

Hope this helped!

Answer:

15.7 degrees.

Step-by-step explanation:

Answer:for points

Step-by-step explanation:

Hsjsnsns.

Answer:

27/12 KG

Step-by-step explanation:

On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg on his tomato plants. How many kilograms of plant food did Sheldon have left?

41/2 - (12/3 + 1/4)

[tex]1\frac{2}{3} + \frac{1}{4}[/tex]

[tex]1\frac{8 + 3}{12}[/tex] = 1 11/12

[tex]4\frac{1}{2} - 1\frac{11}{12}[/tex]

[tex]3\frac{6-11}{12}[/tex] = 2 7/12

Answer:

jason shdudbuasd

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The diagonals of a rectangle are congruent.

RT = QS = 10

Answer: RT = 10

Answer:

Your answer should be 10.

Step-by-step explanation:

In order for a quadrilateral to be classified as a rectangle, BOTH diagonals must be congruent. Otherwise, the quadrilateral cannot be classified as a rectangle. Hope this helps you out!

Answer:

Step-by-step explanation:

123

Hello there I hope you are having an great day :)

X + 10 = Y if you are trying to work out Y it would equal y  =  x  +  10

If you are trying to work out X it would equal x  =  y  −  10

Hopefully that helps You :)

Answer:

It's the second one, two independent clauses connected by a conjunction

Answer:

La masa de 10⁹ μm³ de agua es 1 mg.

Step-by-step explanation:

La densidad del agua es:

[tex] d = \frac{m}{V} = 1000 kg/m^{3} [/tex]

En donde:

m: es la masa =?

V: es el volumen = 10⁹ μm³

Para encontrar la masa de agua debemos convertir las unidades del volumen de μm³ a m³:

[tex]V = 10^{9} \mu m^{3}*\frac{1 m^{3}}{(10^{6} \mu m)^{3}} = 10^{-9} m^{3}[/tex]

Ahora, la masa es:

[tex]m = d*V = 1000 kg/m^{3}*10^{-9} m^{3} = 10^{-6} kg = 10^{-3} g = 1 mg[/tex]                      

Por lo tanto, la masa de 10⁹ μm³ de agua es 1 mg.

Espero que te sea de utilidad!          

Answer:

[tex]6h = 2[/tex]

[tex]15h = x[/tex]

cross multiplication

i got 5 as the answer

Answer:

hi there user!

The answer is he needs to save $37.49 more

Step-by-step explanation:

59.99 - 22.50 = 37.49

Answer:

A ≈ 2.83 units²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{36}{360}[/tex]

   = π × 3² × [tex]\frac{1}{10}[/tex]

    = [tex]\frac{9\pi }{10}[/tex]

   ≈ 2.83 units² ( to the nearest hundredth )

Answer:

x= 26 y = 49

Step-by-step explanation:

let the first number be x and second be y

then

according to the question,

x + y= 75

x + (2x- 3) = 75

x + 2x - 3 = 75

3x = 75 +3

3x = 78

x = 78/3

x = 26

thus first number is 26

and second number is 2x-3=2×26-3

= 52 - 3= 49

Answer:

12 inches

Step-by-step explanation:

5 + 5 = 10

34 - 10 = 24

24 ÷ 2 = 12

Therefore, the answer is 12 inches.

Answer:

[2, 4]

Step-by-step explanation:

[2, 4]

The answer is: 312 (Squared)

Step-by-step explanation:

(2×6 is 12. 12×2 is 24. Top and Bottom)

(12×6 is 72. 72×4 is 288. Both sides+Front and back)

(Adding those up would be: 288+24 = 312)

1. Subtract 2 from both sides of the equation

4x + 2 = 7x - 13

4x + 2 - 2 = 7x - 13 - 2

2. Simplify

4x + 2 - 2 = 7x - 13 - 2 -----> 4x = 7x - 13 - 2 -----> 4x = 7x - 15

3. Subtract 7x from both sides of the equation

4x = 7x - 15

4x - 7x = 7x - 15 - 7x

4. Simplify

4x - 7x = 7x - 15 - 7x -----> -3x = 7x - 15 - 7x -----> -3x = -15

5. Divide both sides of the equation by the same term

-3x = -15

-3x/-3 = -15/-3

6. Simplify

-3x/-3 = -15/-3

x = -15/-3

x = 5

7. Solution

x = 5

Hope that helps! :D

Answer:

x=20

Step-by-step explanation:

First, find LJ

Angle L = 60 (180 - 30 - 90)

The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(L)=adj/hyp

cos(60)=LJ/40√2

LJ = cos(60)*40√2

LJ = 20√2

Now you can use LJ to find x. You also know the value of each angle, 45

x=20√2⋅cos(45)

x=20

Answer:

the value of x equals 11.25°

Step-by-step explanation:

6x + 2x =90°

8x=90°

---------

x=90/8

x=11.25°

Answer:

B

Step-by-step explanation:

A compound sentence is a sentence that has at least two independent clauses joined by a comma, semicolon or conjunction. ... An example of a compound sentence is, 'This house is too expensive, and that house is too small.

Hope this helps!!!

hello rhere, the answer to this is B

Answer:

they are congruent

Step-by-step explanation:

Answer:

0.27 repeating.

Step-by-step explanation:

So to solve this we just have to use division.

1 clearly doesnt go into 3 at least one time, so we can add a decimal point and add a 0 to make it 30.

11 goes into 30 2 times, so we have:

0.2

and 30-22=8

So we can add another 0 and make it 80.

Then 11 goes into 80 7 times. So we have:

0.27

and 80-77=3

So again, add the 0, we have 30.

11 goes into 30 2 times, so:

0.272

and 30-22=8

Add another 0 we get 80.

11 goes into 80 7 times.

So finally, we have:

0.2727.

This is a repeating decimal.

This can be shown as:

0.27

So this is your answer!

I was a bit confused with which one it was on your answer key, but knowing that it is 0.27 I am guessing you can chose!

Hope this helps!

Answer:

x = 16

Step-by-step explanation:

Angles in a triangle add up to equal 180

Hence, 9x - 8 + x + 10 + x + 2 = 180

                              ^ ( note that we just created an equation that we can use

                                   to solve for x )

We now solve for x using the equation created.

9x - 8 + x + 10 + x + 2 = 180  

step 1 combine like terms

9x + x + x = 11x

-8 + 10 + 2 = 4

we now have 11x + 4 = 180

step 2 subtract 4 from each side

180 - 4 = 176

4 - 4 cancels out

we now have 11x = 176

step 3 divide each side by 11

176 / 11= 16

11x / 11 = x

we're left with x = 16

Answer:

Ratio: Tan B = 12/5

Exact value in degrees: [tex]67.38^{o}[/tex]

Step-by-step explanation:

SOH CAH TOA

Means Tan B  means opposite/adjacent.

Tan B = 12/5

B = [tex]Tan^{-1} (\frac{12}{5})\\[/tex]

B = [tex]67.38^{o}[/tex]

The First two coefficients are positive because they are on the positive side of the y-axis.

The Last two are on the negative side of the y-axis. B is the closest to zero as the wider the graph is, the lower the coefficient is.

The coefficient with the greatest value would be D

We'll be using the Pythagoras property to solve this question.

According to the Pythagoras property,

H denotes hypotenuse

B denotes base

P denotes perpendicular

Here,

→ (x)² = (35 cm)² + (12 cm)²

→ x² = 1225 cm² + 144 cm²

→ x² = 1369 cm²

→ x = √(1369 cm²)

→ x = 37 cm

Therefore, value of x is 37 cm.