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3 years ago

Find the value of x. Round the nearest tenth.

Mathematics

1 answer:

4vir4ik [10]3 years ago

5 0

Answer:

x = 21.4

Step-by-step explanation:

We need to use the law of sins

sin 42 sin x

--------- = ----------

22 12

12 sin 42 = 22 sin x

12 sin 42 /22 = sin x

Taking the inverse sin of each side

sin^-1(12/22 sin 42) = sin^-1(sin x)

21.40637223 =x

To the nearest tenth

x = 21.4

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Determine in which direction the parabola opens y=-3x^2+5x+11 up down left right

pav-90 [236]

We have that
y=-3x²+5x+11

we know that
the equation of the parabola in standard form can be expressed in one of the following two ways
y=ax²+bx+c
the parabola opens up if a is positive and opens down if a is negative
and
x=ay²+by+c
the parabola opens right if a is positive and opens left if a is negative

in this problem
the equation is of the form
y=ax²+bx+c
a=-3
so
the parabola opens down

using a graph tool
see the attached figure
the vertex of a parabola is a maximum

the answer is
the parabola opens down

3 0

4 years ago

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A satellite can move at 17,000 miles per hour. How many hours will it take to reach a star that is three light years away? Recal

babunello [35]

First convert the distance to miles

9.5 × 10^12 km x 0.62 miles/km 
= (0.62 × 9.5) x 10^12 miles 
= 5.9 × 10^12 miles 

 we want to triple that, because it is 3 light years (not just 1): 
3 x 5.9 × 10^12 miles 
≈ 18 × 10^12 miles 
≈ 1.8 × 10^13 miles 

Next divide by the speed to get the time (in hours). 
t = 1.8 × 10^13 miles / 17000 miles/hour 

convert the speed to scientific notation: 
t = 1.8 × 10^13 / 1.7 x 10^4 

t = (1.8 / 1.7) × (10^13 / 10^4) <-- when dividing powers with the same base, subtract the exponents 
t ≈ 1.1 × 10^9 

convert that back to standard notation. 

Answer: 
1,100,000,000 hours (P.S. That is about 120,000 years).
Hope this helps!!!

4 0

4 years ago

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Solve for x: X/2=8 A)x=17 B)x=18 C)x=16 D)x=12

poizon [28]

If we are dividing than it would be answer C because 8x2=16 and 16/2=8

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3 years ago

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How do I solve this? 2^5 - 4^2 / 2^2

mariarad [96]

Answer:

28

Step-by-step explanation:

4 squared is equal to 16

2 squared is equal to 4

16÷4=4

2 to the fifth is 32 (2x2x2x2x2)

32-4=28

Hope this helps :-)

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3 years ago

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Sam had four tests last month. His scores were 81, 94, 83, and 91. What is the median of his scores?

Novay_Z [31]

Answer:

To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers.

81,83,91,94

since its an even number add up the two middle numbers 83 and 91 to equal 174 then divide by two to have the median of 87

Step-by-step explanation:

3 0

3 years ago

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