The asymptote of the function f(x)=3^x+1-2 is

Lena’s guest house is 15 m long and 12 m wide how long is the diagonal of the house?

miv72 [106K]

imagine the diagonal of a rectangle being the split between two triangles. you are trying to find the longest side of the triangle, which is the "diagonal" of the rectangle.

to find the length of a side of a triangle, use the Pythagorean theorem. it is : a^2 + b^2 = c^2

so... plug in your data like this...

15^2 + 12^2= c^2.

225 + 144 = the square root of 369.

that is rounded to 19.2

this is just how I would solve this problem, if I helped you out please just let me know by voting me brainliest! Haha just kidding :)

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3 0

4 years ago

Find the perimeter od a rectangular frame with sides of 4x -1 and 6x+5

Keith_Richards [23]

Answer:

20x+8

Step-by-step explanation:

in a rectangle, the sides opposite from each other are equal, and finding the perimeter means you going to add all the sides together

therefore we have

4x-1+4x-1+6x+5+6x+5=20x+8

7 0

3 years ago

There are many cylinders with a height of 18 meters. Let represent the radius in meters and represent the volume in cubic meters

antiseptic1488 [7]

Answer:

Step-by-step explanation:

1). Equation that represents the volume of a cylinder,

V = πr²h

Here, r = radius of the cylinder

h = Height of the cylinder

2). Fromm the given formula of volume,

r(In m) V(In cubic meters)

1 56.55

2 226.19

3 508.94

3). If the radius is doubled from 1 m to 2 m,

At r = 1 m, Volume (V₁) = 56.55 m³

At r = 2 m, Volume (V₂) = 226.19

$\frac{V_2}{V_1}=\frac{226.19}{56.55}$

= 4

Therefore, volume is not doubled when radius of the cylinder is doubled.

8 0

3 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

T divided by -4 equals 9

Nataly_w [17]

T/-4=9 then the answer is -4x9=-36

6 0

3 years ago