1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Law Incorporation [45]
3 years ago
13

A skate ramp is 4.2 meters long. It rises up 1.7 meters. What’s is the angle of elevation to the nearest tenth of a degree?

Mathematics
1 answer:
Kipish [7]3 years ago
4 0
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.
You might be interested in
Which of these equations are true when the value of y is 27?
Troyanec [42]

Answer:

I. -9 + y = 18

Step-by-step explanation:

Double-check to see if I was correct

7 0
3 years ago
Dan draws a circle with a radius of 8 inches. Question 1 Part A: What is the circumference of Dan's circle, inches? If needed, r
geniusboy [140]

Answer:

The circumference of Dan's circle is approximately 50.27 inches.

Step-by-step explanation:

The length of the circumference (s), measured in inches, is determined by the formula:

s = 2\pi\cdot r (1)

Where r is the radius, measured in inches.

If we know that r = 8\,in, then the length of the circumference is:

s = 2\pi\cdot (8\,in)

s \approx 50.27\,in

The circumference of Dan's circle is approximately 50.27 inches.

8 0
3 years ago
Write an equation parallel to the line y=3/2x-2 that goes through (5,1) in point slope form.
s344n2d4d5 [400]

Answer: y=3/2x-13/2

Step-by-step explanation:

concept to know: two parallel lines have the same slope

y=3/2x+b

in order to find b or the y-intercept, we plug the point in

y=3/2x+b

1=3/2(5)+b

1=15/2+b

b=-13/2

----------------------------

y=3/2x-13/2

Hope this helps!! :)

4 0
3 years ago
2х - 12 = 24
Eduardwww [97]

Answer:

x=18 y=25

Step-by-step explanation:

1)2x18=36-12=24

2)3x25=75-15-60

3 0
3 years ago
A confidence interval was used to estimate the proportion of statistics students that are female. A random sample of 72 statisti
jeyben [28]

Answer:

We need a sample of size at least 13.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence interval: (0.438, 0.642).

The proportion estimate is the halfway point of these two bounds. So

\pi = \frac{0.438 + 0.642}{2} = 0.54

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?

We need a sample of size at least n.

n is found when M = 0.08. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.08 = 1.96\sqrt{\frac{0.54*0.46}{n}}

0.08\sqrt{n} = 1.96\sqrt{0.54*0.46}

\sqrt{n} = \frac{1.96\sqrt{0.54*0.46}}{0.08}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.54*0.46}}{0.08})^{2}

n = 12.21

Rounding up

We need a sample of size at least 13.

3 0
2 years ago
Other questions:
  • What 2 numbers can go into 33 equally?
    9·2 answers
  • What equation is graphed in this figure?
    11·2 answers
  • Find the difference x/7x^2-13x-24 - 2x/7x^2-30x+27
    8·1 answer
  • The product of 4 and a number ,increased by 22 is 146. What is the number ?
    5·1 answer
  • How do i get a equation that equals 24 using the numbers 8 3 5 and 1 with a 24 card using multiplication negative times division
    7·2 answers
  • Area of a 18cm wide rectangle is 342 cm squared. what is the length?
    5·1 answer
  • What should be done first to evaluate the expression?
    8·2 answers
  • What does the product of the two circled numbers represent? ​
    8·2 answers
  • Helpppppppppppppppppppppppppppp
    8·1 answer
  • What point on the parabola is closest to the point
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!