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Charra [1.4K]
2 years ago
9

Are the acute interior angles of a right triangle always complementary

Mathematics
1 answer:
Levart [38]2 years ago
5 0
All the interior angles always sum up to 180. It doesn’t matter if they are all acute angles.
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A player hit a serve in a racket sport that was clocked at 129 mph. how much work did he have to do on the 2-oz ball to get that
djyliett [7]

Answer:

1 × 10² J

Step-by-step explanation:

Given data

  • Speed (v): 57.7 m/s

\frac{129mi}{h} .\frac{1609.34m}{1mi} .\frac{1h}{3600s} =57.7m/s

  • Mass (m): 0.06 kg

2 oz × (1 kg/35.274 oz) = 0.06 kg

The work exerted by the player is equal to the kinetic energy (K) adquired by the ball.

K = 1/2 × m × v²

K = 1/2 × 0.06 kg × (57.7 m/s)²

K = 1 × 10² J

5 0
2 years ago
The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the act
stealth61 [152]

Answer:  0.2551

Step-by-step explanation:

Given : The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the actual temperature of the medium, and standard deviation σ.

Significance level : \alpha=1-0.95=0.05

The critical z-value for 95% confidence : z_{\alpha/2}=1.960 (1)

Since , z=\dfrac{x-\mu}{\sigma} (where x be any random variable that represents the temperature reading from a thermocouple.)

Then, from (1)

\dfrac{x-\mu}{\sigma}=1.96\\\\ x-\mu=1.96\sigma     (2)

Also,  all readings are within 0.5° of μ,

i.e. x-\mu

i.e. 1.96\sigma   [From (2)]

i.e. \sigma  

i.e. \sigma\approx0.2551

The required standard deviation : \sigma=0.2551

3 0
2 years ago
6.6.1. Rao (page 368, 1973) considers a problem in the estimation of linkages in genetics. McLachlan and Krishnan (1997) also di
ikadub [295]

Answer:

Step-by-step explanation:

find attached the solution

7 0
2 years ago
The area of the parallelogram below is ____ square meters.
wlad13 [49]

Answer:

48

Step-by-step explanation:

Area of Parallelogram = base x altitude

altitude = 8

base = 6

8 x 6 = 48

3 0
2 years ago
Asher pays 156 every 6 weeks for piano lessons. What is the price per year for piano lessons?
Marta_Voda [28]
About 1352
There r about 52 weeks in a year
Divide 52 by 6 = 8.66666667
Multiply 8.6666667 by 156 you will get 1352 per year
6 0
2 years ago
Read 2 more answers
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