Which of the following is the best estimate of the measure of the angle the skateboard makes with the ground ?
Answers
Answer:
Correct choice: C. 74.5
Step-by-step explanation:
Trigonometric Ratios
In every right triangle (those who have an internal angle of 90°), the six trigonometric ratios are valid. They relate the other internal angles with the lengths of the triangle.
The skateboard, the wall, and the ground form a right triangle. We need to find the measure of the angle formed by the skateboard with the ground. Let's call it β. In a right triangle, the cosine of an angle is defined as
[tex]\displaystyle \cos\beta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
The adjacent leg of β is the side with length 8 in, and the hypotenuse is the length of the skateboard, 30 in, thus:
[tex]\displaystyle \cos\beta=\frac{8}{30}}=0.267[/tex]
Using a digital calculator we find:
[tex]\beta=\cos^{-1}(0.267)[/tex]
[tex]\beta=74.5^\circ[/tex]
Correct choice: C. 74.5
Related Questions
2 1/4 hrs are how many seconds
Answers
Answer:
8100 seconds
Step-by-step explanation:
2 1/4 = 2.25
2.25 x 3600 = 8100
8 (2x - 3) - 6x? what the answer
Answers
Answer:
Step-by-step explanation:
Multiply the expressions.
− 32 x − 24
Answer 2.5:
Step-by-step explanation:
Please help me this brought my grade down and I need to get it up by next week please please help im giving all my points away for it
Answers
Answer:
Step-by-step explanation:
A study was designed to compare the attitudes of two groups of nursing students towards computers. Group 1 had previously taken a statistical methods course that involved significant computer interaction. Group 2 had taken a statistic methods course that did not use computers. The students' attitudes were measured by administering the Computer Anxiety Rating Scale (CARS). A random sample of 12 nursing students from Group 1 resulted in a mean score of 59.7 with a standard deviation of 2.8. A random sample of 15 nursing students from Group 2 resulted in a mean score of 64.7 with a standard deviation of 8.3. Can you conclude that the mean score for Group 1 is significantly lower than the mean score for Group 2? Let µ1 represent the mean score for Group 1 and µ2 represent the mean score for Group 2. Use a significance level of α = 0.1 for the test. Assume that the population variances are equal and that the two populations are normally distributed.Step 1: State the null and alternative hypotheses for the test.Step 2: Compute the value of the t test statistic. Round your answer to three decimal placesStep 3: Determine the decision rule for rejecting the null hypothesis H0. Round your answer to three decimal places. Reject or fail to reject your hypothesis?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Group 1:
μ1 = 59.7
s1 = 2.8
n1 = sample size = 12
Group 2:
μ2 = 64.7
s2 = 8.3
n2 = sample size = 15
α = 0.1
Assume normal distribution and equ sample variance
A.)
Null and alternative hypothesis
Null : μ1 = μ2
Alternative : μ1 < μ2
B.)
USing the t test
Test statistic :
t = (m1 - m2) / S(√1/n1 + 1/n2)
S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))
S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))
S = 6.4829005
t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)
t = - 5 / 2.5108165
tstat = −1.991384
Decision rule :
If tstat < - tα, (n1+n2-2) ; reject the Null
tstat < t0.1,25
From t table :
-t0.1, 25 = - 1.3163
tstat = - 1.9913
-1.9913 < - 1.3163 ; Hence reject the Null
-3x/2+4=16
What is x?
Answers
Answer:
-8
Step-by-step explanation:
-4 both sides & 16-4 is 12.. -3/2x equals 12 so to solve for x, you would multiply 2 by both sides. You end w -3x equals 24. You then divide -3 both sides and 24/-3 is -8... hopee that helps? :)
In the figure below, if the measure of an angle is 1=37, and angle 1 is congruent to angle 3, what is the measure of angle 4? asap :( <3
Answers
Answer:
∠ 53°
Step-by-step explanation:
[tex]Hope\\This\\Helps[/tex]
The table below shows that 1 day equals 24 hours. Notice that 12 hours is one-half of that. Use the table to help you determine how many days are equal to 30 hours. 1 day 24 hours 12 hours 12 hours 1 and 1 over 4. days 1 and 1 over 2. days 1 and 3 over 4. days 2 days
Answers
Answer:
12 hours + 12 hours and 1 over 4
or 12 + 13 + 1/4 / 6 hours
Step-by-step explanation:
this is true since 1/4 of a day is 6 hours and 30 hours is equivalent to 24 hours plus 6 extra hours..
Answer:
HOURS AND HOURS WHIC IS EQUAL TO 24 WHICH MEANS 1 X 4 IS 4 SO THE ANSWER IS 42
Step-by-step explanation:
please help me asap
Answers
2.4with exponent of 6 aka (D)
3.120
2.) is the fourth choice
3.) is 120
A square has a perimeter of 51.6 inches. What is the length of each side?
13 inches
129 inches
12.9 inches
1.29 inches
Answers
Answer:
12.9
Step-by-step explanation:
A square has even lengths on each side. Since there is 4 sides on a square. We divide perimeter by 4.
51.6/4 = 12.9 inches
The length of each side of the square is 12.9 inches if perimeter of square is 51.6 inches.
What is Quadrilateral?A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.
The perimeter of a square is the sum of the lengths of all its sides.
Let a be the length of each side of the square, then the perimeter P is given by:
P = 4a
We are given that the perimeter is 51.6 inches, so we can set up the equation:
51.6 = 4a
Solving for a, we divide both sides by 4:
a = 51.6/4
a = 12.9
Therefore, the length of each side of the square is 12.9 inches if perimeter of square is 51.6 inches.
To learn more on Quadrilateral click:
https://brainly.com/question/6321910
#SPJ7
Bev scored 540 points. This was 158 points more than Ike scored. How many points did Ike score?
Answers
Answer:
382
Step-by-step explanation:
540 - 158
At the start of a soccer game, the referee flips a coin to determine which team gets the ball first. The referee making
the calls for your upcoming game has seen the last 5 coin flips come up tails. The team captain plans to call heads
during the coin flip because he says it is long overdue.
Is your friend's reasoning correct?
O Yes, the coin flip is more likely to come up heads in order for the probability of heads to get back to 0.5.
No, it is highly unlikely to get 5 tails in a row by chance alone, so the friend should continue to go with tails. This
referee must be using an unfair coin.
O No, the probability of getting heads or tails is 0.5, regardless of the outcomes of the previous flips.
Yes, after so many tails in a row, the coin is due to show heads.
Answers
Answer: The answer is C on Edge 2020
Step-by-step explanation:
Answer:
(C) No, the probability of getting heads or tails is 0.5, regardless of the outcomes of the previous flips.
Is correct
ED2021
Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.
Answers
Answer:
whats the question-
Step-by-step explanation:
Answer:
so how many hours does he play, we need to know that so we can calculate it
Step-by-step explanation:
Please help me now. I am stuck on this one.
Answers
Answer:
Step-by-step explanation:
Formula: Area=(a+b)/2 * h
72=(16+8)/2*h
72=24/2*h
72=12*h
h=72/12
h=6
It will be nice if you give me brainlies.Good luck!
Malcolm drew a circle with a diameter of d units, a radius of runits, a circumference of C units, and an area of A units. Which of the following could Malcolm use with his circle to define
PI?
HELP ME
Answers
Answer:
c because definition of circumference: the enclosing boundary of a curved geometric figure, especially a circle.
Answer:
C
Step-by-step explanation: water
I need help ASAP !
Please fast ! What mathematical term do we use for the first part of proof ?
Answers
Answer:
A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion.The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference.
Its got to be in there.
1. What is the surface area of the polyhedron? Explain your reasoning.
Answers
Answer:
24
Step-by-step explanation:
i counted the square me good at counting
1. It took Lucy two hours to read the first 108 pages of a book. She read the last 48 pages in 75 minutes. What was Lucy’s average reading rate for the entire book in pages per hour?
Answers
Answer:
I have the same question
Step-by-step explanation:
2+2 this is for that one guy that answered my question he needs some more points and answers so imma help him out
I think it’s a boy honestly Idk
Answers
Answer:
I need more too lol the answer is 4
Please help I will put brainliest
Answers
Answer:
−64x12y12
Good Luck!!!
Answer:
[tex]-64x^{12} y^{12}[/tex]
Step-by-step explanation:
1. remove parentheses by multiplying factors.
2. use exponent rules to remove parentheses in terms with exponents.
3. combine like terms by adding coefficients.
4. combine the constants.
Need help ASAP on a timer
Answers
Answer:
1/2
Step-by-step explanation:
PLZ ANSWER!!!
ALMN and A NOP similar right triangles. The coordinates of all the vertices are integers.
A. The relationship between the slope of LN and the O slope of NP cannot be determined, because the triangles are congruent.
B.The slope of LN is greater than the slope of NP This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is greater for LN than for NP.
C.The slope of LN is less than the slope of NP This is because the ratio of the change in y-values of the endpoints to the change in x-values of the endpoints is less for LN than for NP
D. the slope of LN is equal to the slope of NP. this this because ratio of the change in x values of the endpoints is the same for LN as for NP
Answers
Answer:
D . the slope of LN is equal to the slope of NP. this this because ratio of the change in x values of the endpoints is the same for LN as for NP
Step-by-step explanation:
LMN and A NOP similar right triangles. The coordinates of all the vertices are integers.
Since the triangles are similar, we can the ratio of the sides are equal
OP NM
----- = -----
NO LM
OP/ NO is the slope of LN and
NM/ LM is the slope of NP
They are equal so the slopes are the same
Look at the diagram below. The friction force between the bag and the floor is 4N. What is the net force acting on the bag?
Answers
Answer: 21 net force to the right
Step-by-step explanation:
Answer:
Step-by-step explanation:
Your right
Jose is riding his bicycle. He rides at a speed of 12 kilometers per hour fore 38.4 kilometers. For how many hours does he rides
Answers
Answer:
3.2 hours
Step-by-step explanation:
Which of the following describe ? Select all that apply.
integer
whole number
irrational number
rational number
Answers
Answer:
Irrational Number
Step-by-step explanation:
Answer:
irrational because pi is a number that can not be converted into a fraction from and its infinite
Step-by-step explanation:
A student missed 51 problems on a history test and received a grade of 4%. If all the problems were of equal value, how many problems were on the test? Follow the problem-solving process and round your answer to the nearest integer.
Answers
cross multiply and divide:
51/96 = x/100
5100 = 96x
53.125 = x
hope this helps! let me know if you have any questions :)
Given the sample data x: 23 17 15 30 25 (a) Find the range.
Answers
15 because range is biggest number (30) take away smallest number (15)
the quotient of 9 3/4 and 5/8
Answers
Answer:
15.6
Step-by-step explanation:
[tex]9\frac{3}{4} = \frac{39}{4}[/tex] Plug 39/4 in: 39/4 ÷ 5/839/4 ÷ 5/8 = 39/4 × 8/539/4 × 8/5 = 312/20[tex]\frac{312}{20} = 15.6[/tex]I hope this helps!
Answer:
15 3/5
Step-by-step explanation:
9 3/4 ÷ 5/8
39/4 ÷ 5/8
39/4 x 8/5
39 x 8 / 4 x 5
312 / 20
312 ÷ 4 / 20 ÷ 4
78/5, or 15 3/5
A family on vacation took a road trip to Florida. Use the table to determine whether an equation in the form y=ke can be written for the situation. Explain your answer.
Answers
Answer:
No. Since the value of the ratio
is not the same for each pair of values, the relationship is not proportional. So, an equation cannot be written for the situation. its c
Step-by-step explanation:
Jasmine wrote a number that is the opposite of -3. What
number did Jasmine write?
0 1/3
3
0
-3
Answers
Answer:
3
Step-by-step explanation:
This is because its the opposite.
Jasmine would write 3.
Hope this helps!!
Answer:
c
Step-by-step explanation:
49.67 to the nearest ten
Answers
answer:
50
explanation: