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nekit [7.7K]
3 years ago
13

What does the radius-tangent theorem state?

Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0

Answer:

The radius-tangent theorem is math involving a circle. The radius-tangent theorem states that a line is tangent to a circle if it is perpendicular to the radius of a circle.

Step-by-step explanation:

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How to find domain and range on a graph
mamaluj [8]

Answer:

Please Find the answer below

Step-by-step explanation:

Domain : It these to values of x , for which we have some value of y on the graph. Hence in order to determine the Domain from the graph, we have to determine , if there is any value / values for which we do not have any y coordinate. If there are some, then we delete them from the set of Real numbers and that would be our Domain.

Range :  It these to values of y , which are as mapped to some value of x in the graph. Hence in order to determine the Range  from the graph, we have to determine , if there is any value / values on y axis for which we do not have any x coordinate mapped to it. If there are some, then we delete them from the set of Real numbers and that would be our Range .

4 0
3 years ago
Regular pentagon RSTUV has sides that are half the length of regular pentagon JKLMN.
Andrew [12]

Answer:

c

Step-by-step explanation:

7 0
2 years ago
What are the coordinates of the point in quadrant ll
Sever21 [200]
The answer is 3, -3 so D
3 0
3 years ago
A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour.
baherus [9]

A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

Similarly Amount earned by plant after three years =80 \times 1.05^{t}

\begin{array}{l}{\Rightarrow \text { Amount earned by plant after } t \text { years }=80 \times 1.05^{t}} \\\\ {\Rightarrow \text { Required function } \mathrm{A}(t)=80 \times 1.05^{t}}\end{array}

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(t)=80 \times 1.05^{t}

5 0
3 years ago
The area of a rectangle is 28 m', and the length of the rectangle is 1 m more than twice the width. Find the dimensions of the r
Marianna [84]

Answer:

8m ×3.5m

Step-by-step explanation:

Area of rectangle= length ×width

Let the length and width of the rectangle be L and W meters respectively.

Area of rectangle= LW

LW= 28 -----(1)

L= 2W +1 -----(2)

Subst. (2) into (1):

(2W +1)(W)= 28

<em>Expand:</em>

2W² +W= 28

<em>-28 on both sides:</em>

2W² +W -28= 0

<em>Factorise</em><em>:</em>

(W +4)(2W -7)= 0

W +4=0 or 2W -7=0

W= -4 (reject) or W= 3.5

Substitute W= 3.5 into (2):

L= 2(3.5) +1

L= 7 +1

L= 8

∴ The dimensions of the rectangle is 8m ×3.5m.

6 0
3 years ago
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