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3 years ago

A hot air balloon is released and it rises at a speed of 15 mph. A

Mathematics

1 answer:

Svet_ta [14]3 years ago

8 0

Answer:

The direction is 37 degree north of west.

Step-by-step explanation:

velocity of balloon, v = 15 mph upwards

velocity of wind, v' = 20 mph west wards

The direction is given by

$tan\theta = \frac{15}{20}\\\\\theta = 37^o north of west$

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(3x+4)^3=2197 solve this equation

Burka [1]

(3x + 4)³ = 2197

Taking the cube root in this case is easier, although we can do it the extended way which is complicated.

$\sqrt[3]{(3x+4)^3}$ = $\sqrt[3]{2197}$
3x + 4 = 13

Now solve normally.

subtract 4
3x + 4 = 13
-4 -4

3x = 9
Divide by 3 to isolate 3

$\frac{3x}{3} = \frac{9}{3}$
3 and 3 cancels out

x = 3

7 0

3 years ago

Read 2 more answers

Please answer the question correctly with factual information for brainliest.

Phantasy [73]

Answer:

8.9

Step-by-step explanation:

$1)\ S = 80 => l = \sqrt{80}$

$2)\ l = \sqrt{80} = 8.9$

4 0

3 years ago

Solve the following inequality for d. Write your answer in simplest form.

suter [353]

Answer:

d>67

Step-by-step explanation:

Let's solve your inequality step-by-step.

−50−(−9d+7)>−d+10+9d

Step 1: Simplify both sides of the inequality.

9d−57>8d+10

Step 2: Subtract 8d from both sides.

9d−57−8d>8d+10−8d

d−57>10

Step 3: Add 57 to both sides.

d−57+57>10+57

d>67

8 0

3 years ago

given the side lengths of 6, 13, and 20, determine whether the triangle is acute , right , obtuse, or not a triangle.

Serggg [28]

Answer:

Not a triangle.

Step-by-step explanation:

Sum of the two smaller sides must be greater than the largest side.

8 0

3 years ago

70% of kids who visit a doctor have a fever, and 40% of kids who visit a doctor have a sore throat. If the probability that a ki

krek1111 [17]

Answer:

52.5%

Step-by-step explanation:

Let A be kids who have a fever, and B be kids who have a sore throat, so

Based on the given information we have

P(A) = 70%, P(B) = 40%, and P(B|A) = 30% (B|A is read as "B given A", which means probability of B happening given that A has already happened)

We are asked to find P(A|B), the probability of a kid having a fever given that we already know he has a sore throat.

Step 1: First find P(A and B), this is the probability of a kid having both a fever and a sore throat. We use the formula

P(B|A) = P(A and B)/P(A)

We have 2 of these values listed above, so we plug them in...

30% = P(A and B)/70%

This give us a value for P(A and B) which equals 21% [multiply both sides by 70% to isolate P(A and B), (30%)(70%) = 21%]

Now we flip the equation to P(A|B), which is

P(A|B) = P(A and B)/P(B)

We have 2 of the values, so we plug them in...

P(A|B) = 21%/40%

This gives us a value of 52.5% (divide 21% by 40%)

6 0

3 years ago