AB is tangent to circle O at B. What is the length of the radius r

Alaina's sugar cookie recipe calls for 2 1/4 cups of flower. If she wants to make 2/3 a batch of cookies how much flour should s

mezya [45]

I divided 2.25 by 2/3 and got 1.50. That may be the answer if it's a choice.

6 0

4 years ago

Find sec Θ if the terminal side of Θ in standard position contains the point (4, -3)

CaHeK987 [17]

If we plot that point we find ourselves in QIV. The distance along the x axis is 4, and the distance down from that point is -3. If we create a right triangle with that segment, that segment serves as the hypotenuse of the triangle. We need its measure. Using Pythagorean's theorem, $4^2+-3^2=c^2$ and $16+9=c^2$ . We see that c = 5. We need now to find the secant of that right triangle. Secant if the co-identity of cosine which is side adjacent over hypotenuse. That means that secant is the hypotenuse over the side adjacent. So our secant theta = 5/4

7 0

3 years ago

Read 2 more answers

a car dealer buys a luxury car for $65,200 and sells it for 85,650. What is the percent increase in the price of the cara car de

nika2105 [10]

Answer:

The percent increase in the price of the car is <u>31.36%</u>.

Step-by-step explanation:

Given:

A car dealer buys a luxury car for $65,200 and sells it for $85,650.

Now, to find the percent increase in the price of the car.

Cost price of the luxury car = $65,200.

Sell price of the luxury car = $85,650.

So, the price of the car increased by:

Sell price of the luxury car - Cost price of the luxury car.

$=\$85,650-\$65,200\\\\=\$20,450.$

<em>Thus, the price of car increased by $20,450.</em>

Now,to get the percent increase in the price of the car:

$\frac{20450}{65200} \times 100$

$=0.3136\times 100$

$=31.36\%.$

Therefore, the percent increase in the price of the car is 31.36%.

7 0

3 years ago

he time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the a

Eva8 [605]

Answer:

The answer is below

Step-by-step explanation:

The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the answers to 3 decimal places.

(a) What is the probability that more than three aircraft arrive within an hour?

(b) If 30 separate one-hour intervals are chosen, what Is the probability that no interval contains more than three arrivals?

(c) Determine the length of an interval of time (in hours) such that the probability that no arrivals occur during the interval is 0.1.

Solution:

a) A poisson distribution is given by the formula:

$P(X=x)=\frac{e^{-\lambda }\lambda^x}{x!}$