Answers
Answer:
cot θ = [tex]\frac{7\sqrt{51} }{51}[/tex]
sin θ = [tex]\frac{\sqrt{51} }{10}[/tex]
csc θ = [tex]\frac{10\sqrt{51} }{51}[/tex]
Step-by-step explanation:
First find the opposite side of angle θ by using the Pythagorean Theorem:
10² - 7² = (opposite side)²
100 - 49 = 51 => opposite side = √51
Use SohCahToa to find the values:
cot θ = adjacent/opposite = 7/√51 = [tex]\frac{7\sqrt{51} }{51}[/tex] (rationalize)
sin θ = opposite/hypotenuse = [tex]\frac{\sqrt{51} }{10}[/tex]
csc θ = hypotenuse/opposite = 10/√51 = [tex]\frac{10\sqrt{51} }{51}[/tex] (rationalize)
Hope this helps!
Related Questions
Kristi has 2 ribbons that are the same length. She cuts each ribbon into 8 equal pieces. She uses 12 of the pieces to make bracelets. What fraction of the ribbon did she use?
Answers
Out of those 16 she uses 12
So the fraction would be 12/16
But wait! We need to simplify it
Half it
6/8
Half it again
3/4
There ya go!
:))))
The logging company would like to use its sample to provide convincing statistical evidence that over 50 percent of the trees in the forest are spruce trees. The logging company has decided to use a chi-square goodness-of-fit test to justify its claim. Why is the chi-square goodness-of-fit test not an appropriate procedure for the logging company to use
Answers
Answer:
The chi-square goodness-of-fit test is best used with categorical variables. The trees in the forest are not categorical variables but numerical.
Step-by-step explanation:
The chi-square goodness-of-fit test determines whether the distribution of cases in a single categorical variable follows a known distribution. The chi-square goodness-of-fit test data deal with data frequencies, levels, or counts of cases rather than percentages or other data transformations. Lastly, the categories of the variables are mutually exclusive because they assume the form of either or.
Answer:
A chi-square goodness-of-fit test would be used to show that the entire distribution of trees in the forest is different than what the forester reported, not necessarily the individual proportion representing the spruce trees.
Step-by-step explanation:
The answer is the explanation. Got it from CollegeBoard.org
Jacqueline is buying a pair of pants for $30. They are on sale for 15% off, and she has a coupon for 10% off the sale price. How much does she pay for her pants?
Answers
Answer:
$22.50
Step-by-step explanation:
one boy s c o r e d 80% out of a total of 500 marks how many marks did that boy is scored
Answers
The boy scored:
500 x 80% = 400 (marks)
HELP ME PLS, the function-
Answers
Abc is a right angle decomposed into 2 non overlapping angles. Abd and dbc. What kind of angle is dbc
Answers
Answer:
The answer is "[tex]m \angle ABD = 45^{\circ} \ \ and \ \ m \angle DBC = 45^{\circ}\\\\[/tex]"
Step-by-step explanation:
In this question, the adjacent angles aren't overlapping, and that they have the shared widely and have the common side. There ABC does have the correct angle, which includes two not overlapping ABD and DBC angles with such a joint B vertex and BD lines. Now it is constructed. Thus both angles are not overlapping:
[tex]m \angle ABD = 45^{\circ}\\\\m \angle DBC = 45^{\circ}\\\\or \ \ \text{the angles will may be} \\\\m \angle ABD = 35^{\circ}\\\\m \angle DBC = 55^{\circ}\\\\[/tex]
n+4=12 .step by step working please
Answers
[tex]n + 4 = 12[/tex]
Subtract sides minus 4
[tex]n + 4 - 4 = 12 - 4[/tex]
[tex]n = 8[/tex]
Terrell ran around a track that was 100 yards long.
How many feet did he run?
Answers
Answer:
300ft
Step-by-step explanation:
Answer:
300 ft
Step-by-step explanation:
1 yd = 3 ft
100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft
Answer: 300 ft
In order to play on the 7th-grade basketball team, you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
-IMPORTANT-
show work please and thanks
Answers
Answer:
1/6 or 16.666%
Step-by-step explanation:
8/48 and there is your answer.
Help
See the picture
Answers
Answer:
38.63Step-by-step explanation:
Area x height
Answer:
SA = 12 mi²
Step-by-step explanation:
bottom = 2 x 2 = 4 mi²
one side = 1/2(2)(2) = 2 mi²
SA = 4(2) + 4 = 12 mi²
PLS HELP
A triangle is shown.
Part A: What is the value of x, in degrees?
13.8
16
20
24
Part B: What is the measure of 2Ain degrees?
22
30
38
48
Answers
Answer:
A: x=16
B: ∠A=22
Step-by-step explanation:
A
The angles in a triangle always add up to 180. Therefore:
∠A+∠B+∠C=180
(2x-10)+(3x)+(4x+46)=180
2x+3x+4x+46-10=180
9x=180-36
x=144/9
x=16
B
∠A=2x-10
∠A=2(16)-10
∠A=32-10
∠A=22
What is the next term in the sequence below?
0.35, 1.05, 3.15, 9.45, …
A. 15.75
B. 27.75
C. 28.35
D. 85.05
Answers
the answer is c because each number is the previous x3
Answer:
Its C
Step-by-step explanation:
LOOK AT THE PHOTO AND ANSWER PLEASE
Answers
Answer:
Parallel, I think ||
Step-by-step explanation:
■■■■■■■
Yes they are parallel! Because they are on either sides of a rectangle this automatically makes them parallel.
After painting 3/8 of a fence he finds that he has painted 15 feet
Answers
Answer:
whats the question? theres no context other than that little bit
Answer:
The fence is 40 feet long.
Step-by-step explanation:
I suppose the question is "What is the length of the entire fence?"
Formula
3/8 x = 15 Multiply both sides by 8
8*(3/8)x = 15*8 Cancel
3x = 120 Divide by 3
3x/3 = 120/3
x = 40
A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race during the past month. Do these data provide statistical evidence at the α = 0.05 level that women are less likely than men to run a five-kilometer race? Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (10 points)
Answers
Answer:
The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.
Step-by-step explanation:
We are given;
Number of males selected; n₁ = 150
Number of females selected; n₂ = 190
Proportion of the males; p₁ = 0.6
Proportion of females; p₂ = 0.5
Let's define the hypotheses;
Null hypothesis; H0: p₁ ≥ p₂
Alternative hypothesis; Ha: p₁ < p₂
Now, the z score formula for this is;
z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))
Where;
p^ = (p₁ + p₂)/2
p^ = (0.6 + 0.5)/2
p^ = 0.55
Thus;
z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))
z = 0.1/0.0543
z = 1.84
From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;
P-value = 0.033
The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.
Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.
someone please help me answer this
Answers
Answer:
a = 6.7m is the answer.
Step-by-step explanation:
a = ?
b = 6m
c = 9m
According to the Pythagorean theorem,
a² + b² = c²
a² + 6² = 9²
a² + 36 = 81
a² = 81 - 36
a² = 45
a = 6.708
round to the nearest tenth,
a = 6.7m
∴ Janice is 6.7m high up in the air.
I need help with this noww
Answers
Answer:
B) 6/√3
Step-by-step explanation:
It’s a 30-60-90 triangle, so you take the 6 and divide it by the square root of three.
ANSWER ASAP! NO SCAM LINKS OR REPORTED.
Answers
Answer:
d
Step-by-step explanation:
it would be a parabola not linear
I NEED HELP ASAP, I'LL GIVE BRAINLIST : Math
Answers
Answer:
8 quarts and 1 pint
Step-by-step explanation:
there are 2 pints in a quart and there is 19 pints so 8 times 2 equals 18 and one left over
How to do subtract 1.7 from 3 show your work
Answers
what is the answer? can someone help me
Answers
Answer:the answer u put is correct
Step-by-step explanation:
The radius of a circle measures 3 ft. What is the circumference of the circle?
Use 3.14 for 11, and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
18.85
Step-by-step explanation:
adwadad
The relative growth rate for a certain type of bacteria population is 78% per hour. A small culture has formed and in just 5 hours the count shows to be 34,820 bacteria in the culture. What is the initial number of bacteria in the culture? us this formula to solve it and show all work A(t) = Pe^(rt).
Answers
Step-by-step explanation:
A(t)=P(e^(rt))
Insert the values as follows:
The equation for "continual" growth (or decay) is A = Pe^(rt), where "A", is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (expressed as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate).
34820=P(e^((.78)(5)))
34830=P(49.4024)
704.82335
Hope that helps :)
Please help me please
Answers
Answer:
486 square inches
Step-by-step explanation:
Which property is illustrated by each equation?
a. a + (b + c) = (a + b) + C
b. ab
= ba
c. a (b + c) = ab + ac
Answers
Answer:
a. = associative
b. = communitive
c. = distributive
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $23.7 for a random sample of 4825 people. Assume the population standard deviation is known to be $11.2. Construct the 90% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.
Answers
Round the nearest hundredth. 53.789
Answers
Answer: 53.79
Step-by-step explanation:
Kailynn observed a SpaceX rocket on the launch pad in Cape Canaveral, Florida. The rocket is 230 feet tall, and Kailynn measures the angle of elevation between the base and the top of the rocket to be 5 degrees. How far is she from the base of the rocket?
A-2629feet
B-2639feet
C-20feet
D-231feet
And explain
Answers
Answer:
i think B
Step-by-step explanation:
It says mr fuller wants to put fence around his rectangular yard. The length is 75 and the width is 55.
Answers
Answer:
Step-by-step explanation:
You have omitted relevant parts of the question. What is the question? Are you looking for the area of the yard? The amount of fencing needed?
What units are used? (Feet, yards, meters, etc.)
area of yard = 75×55 = 4125 units²
amount of fencing needed = perimeter of rectangle = 2(75+55) = 260 units.
The total length of the fencing is the perimeter of the rectangular yard which is P = 260 feet
What is the Perimeter of a Rectangle?The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.
Perimeter P = 2 ( Length + Width )
Given data ,
The width of the rectangular yard W = 55 feet
The length of the rectangular yard L = 75 feet
Let the perimeter of the rectangular yard be = P
And , the required fencing = Perimeter of rectangular yard
Perimeter of rectangular yard P = 2 ( L + W )
Substituting the values in the equation , we get;
Perimeter of rectangular yard P = 2 ( 55 + 75 )
Perimeter of rectangular yard P = 2 ( 130 )
Perimeter of rectangular yard P = 260 feet
Therefore , the value of P is 260 feet
Hence , the perimeter of yard is 260 feet
Learn more about perimeter of rectangle click :
brainly.com/question/15725265
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Complete question;Mr. Fuller wants to put fencing around his rectangular-shaped yard. the width of the yard is 55 feet and the length is 75 feet. how many feet of fencing does Mr. Fuller
A glass prism on a chandelier is 80 millimeters long. A base of the prism is an equilateral triangle with side lengths of 9 millimeters and a height of about 5.8 millimeters. What is the approximate surface area of the prism?
Answers
Let's find the area of the equilateral triangle first:
There are two triangles - one on each end. So we multiply our previous expression by 2.
Each rectangle is 75 millimeters long and 9 millimeters wide: 75*9 mm^2.
We have 3 rectangles each the same size so we multiply 75*9 by 3.
75*9*3 = 2025
2025 + 70.2 = 2095.2