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maw [93]
2 years ago
13

A parachutists rate during the freefall reaches 189 km/h. What is the rate in meters per second? At this rate how many meters wi

ll dead parachutist fall during 10 seconds of free fall? Do not round your answers
Mathematics
1 answer:
Lera25 [3.4K]2 years ago
3 0
1 km = 1000m
1 hr = 3600 s

189 km/h
189 * 1000 / 3600 m/s
189*5/18 m/s
945/18 m/s
315/6 m/s
105/2 m/s
52.5 m/s

in 10 s
52.5*10
525 m
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Solve for x. Round to the nearest tenth, if necessary.
DENIUS [597]

Answer:

x=3.5 cm

Step-by-step explanation:

90/2 = 45 degrees

Soh Cah Toa

We have opposite and hypotenuse making sin.

Length×Sin(Angle)

5×Sin(45) = 3.53553cm

Rounded the the nearest tenth makes 3.5cm

6 0
3 years ago
Consider the isosceles triangle. left side (2x+8)units bottom of triangle (4x-10)units right side of triangle (2x+8) units Part
Blizzard [7]

Complete Question

Consider the isosceles triangle. left side (2z+8)units, bottom of triangle (4z-10)units, right side of triangle (2z+8) units Part A Which expression represents the perimeter of the triangle? a.(4z+16) units b.(6z−2)units c.(8z−16) units d.(8z+6) units

Answer:

d. (8z + 6) units

Step-by-step explanation:

The formula for the Perimeter of a Triangle is :Side A + Side B + Side C

Hence,

(2z + 8)units + (4z - 10) units + (2z + 8)units

= (2z + 8 + 4z - 10 + 2z + 8)units

Collect like terms

= 2z + 4z + 2z + 8 - 10 + 8

= 8z + 6 units

The expression that represents the perimeter of the triangle is (8z +6) units

3 0
2 years ago
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kati45 [8]
D. Warm air rises and cool air sinks
7 0
3 years ago
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist
Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408

#Define Y:

Y~(11.04,5.7408)

P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291

Hence, the probability of 12 or fewer is 0.8291

b. The  probability that 5 or more fish were caught.

#Using normal approximation:

P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above P(X\geq 5)=0.9968 and a ,P(X\leq 12)=0.7291

P(5\leq X\leq 120\approx P(4.5\leq Y\leq  12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259

Hence, the probability of between 5 and 12 is 0.7259

4 0
3 years ago
Which of the following is the conjugate of a complex number with 4 as the real part and −3i as the imaginary part?
White raven [17]

Answer:

4+3i

Step-by-step explanation:

we know that

To find the conjugate complex of a complex number, simply change the sign of the imaginary part of the complex number

In this problem we have

4-3i

so

the complex conjugate is equal to

4+3i

6 0
2 years ago
Read 2 more answers
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