Which equation represents a line that passes through (2 -1/2) and has a slope of 4

Find the radius of a circle if a tangent segment to the circle is 12 cm long and the endpoint of the tangent segment is located

creativ13 [48]

(See attached graphic)
13^3 = 12^2 + radius^2
radius^2 = 13^2 - 12^2
radius^2 = 169 -144
radius^2 = 25
radius = 5

3 0

3 years ago

A triangular prism. The rectangle has a base of 9 feet and height of 7 feet. The 2 triangles have a base of 7 feet and height of

kodGreya [7K]

Answer:

On the net, the side length a is 9 feet.

On the net, the side length b is 7 feet.

The area of one of the triangular faces is 21 ft2.

The total amount of fabric needed to make the tent is 231 ft2.

9, 7, 21, 231

Step-by-step explanation:

Hm, I am pretty dumb to explain but I just guessed and got them right.

Don't tell me I answered the wrong question T^T

6 0

3 years ago

Please help me. Show work

Goryan [66]

What hell there is nothings ??

7 0

3 years ago

Now consider the product of a nonzero rational number and an irrational number. Again, assume x = , where a and b are integers a

vovangra [49]

Answer:

Irrational number

Step-by-step explanation:

It's given,

y = $\frac{mb}{na}$ (By simplifying the product of rational number 'x' and an irrational number 'y')

Where m and n are the integers and $\frac{b}{a}$ is a rational number.

(Since x = $\frac{a}{b}$ is a rational number)

Therefore, $\frac{mb}{na}$ will be a rational number.

y = $\frac{mb}{na}$ ⇒ Irrational number = Rational number

which is a contradictory statement.

Therefore, multiplication of rational and irrational number will be irrational.

8 0

4 years ago

Apple products have become a household name in America with 51% of all households owning at least one Apple product (CNN, March

Gre4nikov [31]

Answer:

(a) The events of "household with kids" and "household without kids" are mutually exclusive and exhaustive.

(b) The probability that a household is without kids is 0.317.

(c) The probability that a household is with kids and owns an Apple product is 0.417.

(d) The probability that a household is without kids and does not own an Apple product is 0.152.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = number of households with kids

<em>A</em> = number of households that own an Apple product.

It is provided that of the 1,200 households in a representative community, 820 are with kids.

The information provided is:

$P(A|X)=0.61\\P(A|X^{c})=0.48\\P(X)=\frac{820}{1200}=0.683\\$

(a)

Mutually exclusive events are those events that cannot occur together.

The event of "household with kids" cannot take place along with the event "household without kids".

Thus, the events of "household with kids" and "household without kids" are mutually exclusive.

Exhaustive events are those events of which at least one will definitely occur.

A household will either have kids or not have kids.

Thus, the events of "household with kids" and "household without kids" are exhaustive.

(b)

Compute the probability that a household is without kids as follows:

$P(X^{c})=1-P(X)=1-0.683=0.317$

Thus, the probability that a household is without kids is 0.317.

(c)

Compute the probability that a household is with kids and owns an Apple product as follows:

$P(X\cap A)=P(A|X)P(X)=0.61\times0.683=0.41663\approx0.417$

Thus, the probability that a household is with kids and owns an Apple product is 0.417.

(d)

Compute the probability that a household is without kids and does not own an Apple product as follows:

$P(X^{c}\cap A)=P(A|X^{c})P(X^{c})=0.48\times0.317=0.15216\approx0.152$

Thus, the probability that a household is without kids and does not own an Apple product is 0.152.

6 0

3 years ago