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3 years ago

A heart is randomly chosen 7 out of 12 times from the cards shown

Mathematics

1 answer:

rodikova [14]3 years ago

7 0

Answer:

Experimental probability: 7/12

Theoretical probability: 1/4 or 3/12

Step-by-step explanation:

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What is the volume of a cylinder with a height of 2 feet and a radius of 6 feet? Use 3.14 for pi. Enter your answer in the box.

erastovalidia [21]

Answer:

$V=226.08\ ft^3$

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

where

r is the radius of the base of the cylinder

h is the height of the cylinder

we have

$r=6\ ft\\h=2\ ft\\\pi=3.14$

substitute the given values in the formula

$V=(3.14)(6)^{2}(2)\\ V=226.08\ ft^3$

7 0

3 years ago

Read 2 more answers

X^2-10x+25=0 factoring quadratic equation

Viktor [21]

Answer:

(x-5)(x-5)

Step-by-step explanation:

x^2-10x+25=0

(x-5)(x-5)

since:

-5-5=-10

and

-5×-5=25

hope this makes sense :)

5 0

2 years ago

Read 2 more answers

A central angle theta in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure of theta in degrees. (Rou

gogolik [260]

Answer: In degrees , The measure of $\theta=65.5^{\circ}$

In radians , the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

Step-by-step explanation:

We know that the formula for length of arc is given by :-

$l=\theta r$

, where $\theta$ = Central angle subtended by arc.

r= radius of the circle.

As per given , we have

Radius of circle : r=7 m

Length of arc : l= 8 m

Substitute these values in the above formula , we get

$8=\theta (7)\\\\\Rightarrow\ \theta =\dfrac{8}{7}\text{ radians}$

Hence, the measure of $\theta =\dfrac{8}{7}\text{ radians}$ .

To convert it into degrees we multiply it with $\dfrac{180^{\circ}}{\pi}$

The measure of $\theta =\dfrac{8}{7}\times\dfrac{180^{\circ}}{\pi}$

$=(\dfrac{8\times180}{7\times3.14})^{\circ}=65.5141037307^{\circ}$

$\approx65.5^{\circ}$

Hence, the measure of $\theta=65.5^{\circ}$

8 0

3 years ago

Sara is building a triangular pen for her pet rabbit. If two of the sides measure 8 feet and 15 feet, the length of the third si

Nesterboy [21]

Answer:

1) 13 ft

Step-by-step explanation:

1) 13+8=21 which is greater than 15. Would be a triangle.

2) 7+8=15 This would be a single line, not a triangle.

3) 3+8<15 This would be a single line, not a triangle.

2) 15+8=23 This would be a single line, not a triangle.

3 0

3 years ago

Read 2 more answers

When 23 is subtracted from 5 times a certain number the result is 87

allsm [11]

5x-23=87
add 23 to both sides
5x=110
divide both sides by 5
x=22

To check your answer...
5(22)-23=87
110-23=87
87=87

8 0

3 years ago