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3 years ago

I need help ASAP on Tangent Circles!!

Mathematics

1 answer:

loris [4]3 years ago

5 0

I will solve one for you to get you a idea so next u can solve all
To know whether line is tangent toa circle or not we should know that that line is a tangent line of a circle if it intersects circle at single point.
and this will always be perpendicular at radius
so in problem
1)

diameter is given 7.5
and u can see they make a right triangle ABC if that is perpendicular so segment AB is tangent to a circle.
Lets see by applying Pythagorean Theorem
this is method we can say that this is in fact a right triangle

a^2=b^2=c^2
a,b are shorter side c is longer side
(7.5)^2+(8)^2=(17)^2
56.25+64=289
120.25=289
both are not equal so they are not forming right triangle so segment AB is not a tangent line.

You might be interested in

Which number is not equal to one of the following expressions? 1,400 x 10

pochemuha

The answer is 140

Explanation:
1,400 x 10= 14,000
140,000\100=1,400
1,400 x 100= 140,000

8 0

2 years ago

ASAP answer quickly please

VladimirAG [237]

Answer:

Add 7 black beads

Step-by-step explanation:

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black) b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3 Both sides divisible by 3; reduce ratio

= 3 : 1 Correct ratio

There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore we need to add 7 black beads.

4 0

2 years ago

Translate into an algebraic expression: If I travel d miles in h hrs downstream on a river with a current of c mph, what would m

xenn [34]

Answer:

The speed is still water is $v = \frac{d}{h} - c$ .

Step-by-step explanation:

Dimentionally speaking, speed is distance divided by time. Since, the person is travelling downstream, absolute speed is equal to the sum of current speed and speed of the person regarding current. Both components are constant. That is:

$c + v = \frac{d}{h}$

Where:

$c$ - Current speed, measured in miles per hour.

$v$ - Speed of the person regarding current, measured in miles per hour.

$d$ - Distance travelled downstream, measured in miles.

$h$ - Time spent on travelling, measured in hours.

Speed in still water occurs when current speed is zero. Then, such variable is obtained after subtracting current speed on both sides of the expression. Hence:

$v = \frac{d}{h} - c$

The speed is still water is $v = \frac{d}{h} - c$ .

4 0

3 years ago

You have just used the network planning model and found the critical path length is 30 days and the variance of the critical pat

joja [24]

Answer:

0.726 is the probability that the project will be completed in 33 days or less.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 days

Variance = 25 days

Standard Deviation,

$\sigma = \sqrt{\text{Variance}} = \sqrt{25} = 5$

We assume that the distribution of path length is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(completed in 33 days or less)

$P( x \leq 33) = P( z \leq \displaystyle\frac{33 - 30}{5}) = P(z \leq 0.6)$

Calculation the value from standard normal z table, we have,

$P(x \leq 33) = 0.726 = 72.6\%$

0.726 is the probability that the project will be completed in 33 days or less.

8 0

2 years ago

Please help What is the domain of the following function?

enot [183]

Answer:

Let's use these two sets given to explain what is the domain.

Each value from the left set is x, and from the right is f(x).

If we plug any x from the left set in the function, we'll get f(x) that corresponds to it and that's exactly what the arrows are showing.

Domain of the function is, basically, a set of all values x can have.

In this case, it's easy to see, those are all members of the left set (-6, 1, 5, 8), but sometimes this set can have lots and lots of members, even infinity.

8 0

3 years ago