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11111nata11111 [884]

3 years ago

9

Sabrina is visiting her dad 729 miles away in New York. In the first 3 hours, she has traveled 162 miles. How much longer does s

he have to travel if she keeps the same rate?

1 answer:

Sergeeva-Olga [200]3 years ago

4 0

Sabrina would have to drive approximately 10 1/2 more hours.

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In a right triangle the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg, if c=6, a=

irakobra [83]

Answer:

3

Step-by-step explanation:

6^2=5^2+b^2

36=25+b

36-25=b

B= square root of 9

B= 3

5 0

2 years ago

Read 2 more answers

If A and B are independent events with P(A) = 0.5 and P(B) = 0.5, then P(A ∩ B) a. is 1.00. b. is 0.5. c. is 0.00. d. None of th

erastova [34]

Answer:

The answer is (d) "None of the these alternatives are correct"

Step-by-step explanation:

If two events A and B are independent, the probability of the intersection $P(A\cap B)$ is defined as:

$P(A\cap B)=P(A)\cdot P(B)$

Therefore, in the exercise:

$P(A\cap B)=P(A)\cdot P(B)=0.5\cdot 0.5\\P(A\cap B)=0.25$

which give (d) "None of the these alternatives are correct"

3 0

2 years ago

Helpp degrees, minutes, and seconds

svetlana [45]

Answer:

3) 174°15'18"

4) 34.859722...(repeating)°

5) 434°, -286°

Step-by-step explanation:

There are 60 minutes in a degree, and 60 seconds in a minute.

3) To find minutes, multiply fractional degrees by 60:

.255° = 0.255°×(60'/1°) = 15.3'

To find seconds, multiply fractional minutes by 60:

0.3' = 0.3'×(60"/1') = 18"

Then the whole angle is ...

174.255° = 174° 15' 18"

__

4) The conversion works the other way, too.

34° 51' 35" = 34° +51(1/60)° +35(1/3600)° = (34 619/720)°

= 34.8597222...° (a repeating decimal)

__

5) Add or subtract multiples of 360° to get co-terminal angles.

74° +360° = 434°

74° -360° = -286°

8 0

2 years ago

In the lab, Keith has two solutions that contain alcohol and is mixing them with each other. He uses twice as much Solution A as

egoroff_w [7]

Answer:

Quantity of solution B required is 300 ml

Step-by-step explanation:

Let "a" be quantity of solution A required

Let "b" be quantity of solution B required

We are given Solution A is 19% alcohol and Solution B is 14% alcohol and that the resulting mixture has 156 milliliters of pure alcohol

Thus;

0.19a + 0.14b = 156 - - - (eq 1)

Also, He uses twice as much Solution A as Solution B.

Thus;

a = 2b

Putting 2b for a in eq 1 gives;

0.19(2b) + 0.14b = 156

0.38b + 0.14b = 156

0.52b = 156

b = 156/0.52

b = 300 ml

Quantity of solution B required is 300 ml

6 0

2 years ago

4. The cube root parent function is vertically stretched by a factor of 3, reflected in the x-axis,

Mademuasel [1]

Using translation concepts, it is found that the equation that represents the new function is:

$y = -3\sqrt[3]{x} - 8$

The cube root parent function is given by:

$y = \sqrt[3]{x}$

<h3>Translation:</h3>

The function goes through these following translations:

Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence $y = 3\sqrt[3]{x}$ .

Reflected over the x-axis, that is, it is multiplied by -1, hence $y = -3\sqrt[3]{x}$ .

Translated 8 units down, that is, 8 is subtracted from the function, hence $y = -3\sqrt[3]{x} - 8$ .

Then, the equation is:

$y = -3\sqrt[3]{x} - 8$

To learn more about translation concepts, you can take a look at brainly.com/question/13671886

3 0

1 year ago