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3 years ago

What is the measure of angle WZX?

Mathematics

1 answer:

Aleksandr [31]3 years ago

8 0

I hate Time4Learning. I took that back in middle school.

Here's how these expressions work together. First, you need to remember WZY is a right angle (90 degrees). Now, keep that in mind when we add both equation.

3c + 2c + 2 - 7 = 90

5c - 5 = 90

5c - 5 + 5 = 90 + 5

5c = 95

5c/5 = 95/5

c = 19. Now, put 19 in the place of c and solve.

3(19) + 2 = 57 + 2 =

59 degrees.

The measurement of angle WZX is equal to 59 degrees, B.

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If two events, A and B, never occur at the same time they are _____.

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2 years ago

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At 1pm, the number of bacteria in the dish is 1,000,000

At 12pm, the number of bacteria in the dish is 500,000

Step-by-step explanation:

Given the information on the table

$\left|\begin{array}{c|c}$Hour&$Number of Bacteria (in millions)\\---&--------------\\12 p.m.&\\1 p.m.&\\12 p.m.&\\2 p.m.&\\3 p.m.&\\4 p.m.&\\5 p.m.&32\\6 p.m.&64\end{array}\right|$

We are to follow the pattern to determine how many million bacteria were in the dish at 1 p.m. and 12 p.m.

Now:

$32=2^5\\64=2^6$

It therefore means that the bacteria population doubles every hour. Following this pattern and reducing the exponents by 1 backwards, we have:

$\left|\begin{array}{c|c}$Hour&$Number of Bacteria (in millions)\\---&--------------\\12 p.m.&2^{-1}=0.5\\1 p.m.&2^0=1\\12 p.m.&2^1=2\\2 p.m.&2^2=4\\3 p.m.&2^3=8\\4 p.m.&2^4=16\\5 p.m.&2^5=32\\6 p.m.&2^6=64\end{array}\right|$

Therefore:

At 1pm, the number of bacteria in the dish is 1,000,000
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2 years ago

The endpoints of a diameter of a circle are A(3,2) and B(6,6). Find the area of the circle in terms of π.

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Answer:

area of circle in terms of π is $\mathbf{Area=6.25\:\pi }$

Step-by-step explanation:

The endpoints of a diameter of a circle are A(3,2) and B(6,6). Find the area of the circle in terms of π.

The formula used to find area of circle is: $Area = \pi r^2$

We need to find radius of circle. For finding radius we will first find diameter of circle using distance formula.

Finding distance between points A(3,2) and B(6,6) using distance formula.

$Distance\:Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We have $x_1=3, y_1=2, x_2=6, y_2=6$

Putting values and finding distance

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(6-3)^2+(6-2)^2}\\Distance=\sqrt{(3)^2+(4)^2}\\Distance=\sqrt{9+16}\\Distance=\sqrt{25}\\Distance=5$

So, distance is 5, we can say that diameter of circle = 5

The formula used to find area of circle is: $Area = \pi r^2$

We need radius, so we know that r = d/2 so, radius = 5/2 = 2.5

Now finding area in terms of π

$Area = \pi r^2\\Area=(2.5)^2\pi \\Area=6.25\:\pi$

So, area of circle in terms of π is $\mathbf{Area=6.25\:\pi }$

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3 years ago

Given a function f(x) = m/x-1 + n, where f(-2) = 1 and f(4) = 3. Find the values of m and n

jarptica [38.1K]

We get the values of m as 1 and n as 0.

We are given a function:

f(x) = m / (x - 1) + n

We are also given that:

f (-2) = 1 and f (4) = 3

We have to find the value of m and n.

f (-2) = m (2 - 1) + n

1 = m + n

n = 1 - m

f (4) = m / (4 - 1) + n

3 = 3 m + n

3 = 3 m + 1 - m

3 = 2 m + 1

2 m = 3 - 1

2 m = 2

m = 2 / 2

m = 1

m + n = 1

1 + n = 1

n = 0.

Therefore, we get the values of m as 1 and n as 0.

Learn more about function here:

brainly.com/question/4025726

#SPJ9

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