Answers
Answer:
A, D, and F
Step-by-step explanation:
First off, we're not given the hypotenuse's length, so let's use the Pythagorean Theorem to find it:
[tex]1^2+3^2=c^2\\1+9=c^2\\10=c^2\\c=\sqrt{10}[/tex]
With that, we can refer to SOH-CAH-TOA to help us find sine, cosine, and tangent:
SOH (Sine = Opposite/Hypotenuse)
[tex]\sin{\theta}=1/\sqrt{10}=\sqrt{10}/10[/tex]
CAH (Cosine = Adjacent/Hypotenuse)
[tex]\cos{\theta}=3/\sqrt{10}=3\sqrt{10}/10[/tex]
TOA (Tangent = Opposite/Adjacent)
[tex]\tan{\theta}=1/3[/tex]
From this, we can see that A matches up with sine, and we can eliminate B and C.
Cosecant, secant, and cotangent are all reciprocals of the three basic trig ratios:
[tex]\csc{\theta}=1/\sin{\theta}=\sqrt{10}\\\sec{\theta}=1/\cos{\theta}=\sqrt{10}/3\\\cot{\theta}=1/\tan{\theta}=3[/tex]
D matches with cosecant, and F matches with cotangent, so the correct trig rations for θ are A, D, and F.
Related Questions
The price of a flight was increased by 3% to £650. What was the price before the increase? Give your answer to the nearest penny.
Answers
Answer:
£631.07
Step-by-step explanation:
Increasing a value by 3% is the same as taking 103% of it - you have the original price (100%) plus an additional 3% of it. Let's call the original price here p. We're told that after a 3% increase, the price goes up to £650. Put another way: 103% of p is £650. In equation form:
[tex]1.03p=650[/tex]
To solve for p, we can simply divide both sides of our equation by 1.03 to get
[tex]p=650/1.03\approx631.07[/tex]
So our orignal amount, to the nearest penny, was £631.07
Answer:
£631.07
Step-by-step explanation:
how do you simplify -1/2 (-5/6 + 1/3)?
Answers
Answer:
answer is 1/4
.... .. . ...... .
:-))
hope it helps you
The distance around a garden is 745 yards long. One brick is 15 yard in length. How many bricks are needed to go around the garden?
A.
11425
B.
735
C.
35
D.
39
Answers
Answer:
49
Step-by-step explanation:
745 / 15 = 49
not 39, 49
terri is planning to build a garden using the plans below. how much fencing will she need to split the garden on the diagonal? rectangular 40yards by 30yards
Answers
Answer:
Length of the fence is 50 yards.
Step-by-step explanation:
The dimensions of the garden are:
length of the garden = 40 yards
width of the garden = 30 yards
Representing these by the sides of a right angled triangle, the diagonal is the hypotenuse of the triangle. So that applying the Pythagoras theorem, we have:
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
Let the diagonal be represented by x, so that;
[tex]x^{2}[/tex] = [tex]40^{2}[/tex] + [tex]30^{2}[/tex]
= 1600 + 900
= 2500
x = [tex]\sqrt{2500}[/tex]
= 50
x = 50 yards
Hence, Terri would need a fence of length 50 yards so as to split the garden on the diagonal.
In 5 minutes, a data entry clerk types 11 14 pages of
data. At this rate, how many pages can she type per
minute?
She can type 2.25
Answers
Answer:
Probs tbh
Step-by-step explanation:
Lol
PLEASE HELP ITA DUE AT 9
Answers
Answer:
its the third one
Step-by-step explanation:
1.7x10^9
take care
-tired kitten
who wants to rest forever
2х - Зу = -1
y=x - 1
Answers
Answer:
r666666666666666666666666655555555555555555555555555555555555555555555
Place the numbers in the table to order them from least to greatest.
-14/3 -4 -3.95 -13/3 -4.25
Answers
Answer: i’m kinda late but -14/3 , -13/3 , 4.25 , -4 , -3.95
hope this helped! :)
Answer:
-14/3,-13/3,-4.25,-4,-3.95
Step-by-step explanation:
Peter went to a local zoo where 30% of the exhibits feature canines. If the zoo features a total of 27 exhibits, how many of the zoo exhibits feature canines? Round your answer to the nearest whole number if necessary.
Answers
Answer: 8 exhibits
Step-by-step explanation:
There are 27 exhibits in this zoo.
Out of these 27, 30% of them feature canines.
The question is asking for this percentage as a whole number:
= Percentage of exhibits with canines * total number of exhibits
= 30% * 27
= 8.1
= 8 exhibits
The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.
Solve
Please help !
Answers
Answer:
In bold below.
Step-by-step explanation:
let the shorter leg be x units long, then:
longer leg = x+4
and hypotenuse = x + x + 4 - 8 = 2x - 4 units.
By Pythagoras:
(2x - 4)^2 = x^2 + (x + 4)^2
4x^2 - 16x + 16 = x^2 + x^2 +8x + 16
2x^2 - 24x = 0
2x(x - 12) = 0
x = 12.
So the shorter leg = 12 units
Longer leg = 4 + 12 = 16 units and
Hypotenuse = 12 + 16 - 8 = 20 units.
NEED HELP ASAP PLZZZZ
Marcus has a part-time job at the water park. He makes between $73.99 and $79.25 a day. Which is a reasonable amount of money that Marcus makes for working 5 days a week for 9 weeks?
A.
$3,613
B.
$3,421
C.
$351
D.
$3,278
Answers
Answer
b
highest he should make is 3599.55 and lowest is 3332.55 so a doesnt fit and b does
What is the value of x?
Enter your answer in the box.
x =
Answers
Find the solution to the inequality 10-x>2
Answers
Answer:
x < 8 hope that helps pls lmk
Good morning. It is Friday, Jan 22. For today's attendance check in...
Michael is 25 years younger than his father. The sum of their ages is 53. What is Michael's age?
Answers
Answer:
14
Step-by-step explanation:
Answer:
Micheal is 14
Step-by-step explanation:
First you need to minus the 25 from 53 to see how old they both are without the age difference, 53-25=28. Since we are looking at 2 people, we need to divide this number by 2. From this we get 14. Now 14+25=39. So we can prove that our answer is valid. Ergo, Micheal's age is 14.
A company makes cars.
The company’s income in 2017 was $500 000 more than the company’s income in 2016
The company’s income in 2017 was 8% more than the company’s income in 2016
Work out the company’s income in 2016?
Answers
Answer:
$6,250,000
Step-by-step explanation:
Let :
2016 income = x
2017 income = x + $500,000
2017 income is 8% more than company's income in 2016
Thus ;
8% of 2016 income = 500000
0.08x = 500,000
x = 6,250,000
Hence, the company's income in 2016 is $6,250,000
each year a scientist measures the water level of a local lake. Negative numbers indicate that the water level is below its historical average. which list shows water levels in order highest to lowest. :
A 0.38 0.7 0.09 -0.41 -0.6
B 0.7 0.38 0.09 -0.6 -0.41
C 0.38 0.09 0.7 -0.6 -0.41
D 0.7 0.38 0.09 -0.41 -0.6
Answers
Answer:
0.7, 0.38,0.09, -0.41, -0.6 (A)
Step-by-step explanation:
It makes sense
A square measures 17r on each side. Which monomial represents the area of the square?
Option 1: 289r^2
Option 2: 34r^2
Option 3: 289r
Option 4: 34r
Answers
Answer:
Area of square = 289r²
Step-by-step explanation:
Given:
Side of square = 17r
Find:
Area of square
Computation:
Area of square = side²
Area of square = (17r)²
Area of square = 289r²
a train travels 120 km in 2 hours and 30 miniutes. what is the average speed in km/h ?
Answers
Answer:
120/2.5 = 48
48 km/hr
Step-by-step explanation:
HELPPP it’s a test quest.. 30pts
Answers
Answer:
Should be the first one. You have $5 flat fee and an additional 10 cents per text. Then you have a $10 flat fee and an additional 5 cents per text. so the first equation would be 0.1x + 5 and the second one would be 0.05x + 10
Which triangle is congruent to PQR?
A. aSTU
B. aJKL
C. aDEF
D. none
PLEASE HELP!!
Answers
What is the slope of the line through (-9,6)(−9,6)
Answers
Answer:
Well I think It's undefined
Step-by-step explanation:
m = y2 - y1/x2 - x1
= 6-6/-9-(-9)
= 6-6/-9+9
m = 0/0
Answer:
slope is indeterminate
Step-by-step explanation:
Given (- 9, 6) and (- 9, 6) ← that is a single point
No line is formed by a point , thus the slope is indeterminate
Solve |y + 2| > 6
Need answer please
Answers
Answer:
y is greater or less then 4
Step-by-step explanation:
Im jesus
I really need help please I will give brainleist!!!
Answers
Charles has 9 times as many red marbles as blue marbles.
If he has 288 more red than blue marbles, how many red marbles does
he have?
Answers
Answer:
314 red marblesStep-by-step explanation:
Red = r, blue = b,
r = 9br = b + 288Substitute:
9b = b + 2888b = 288b = 288/8b = 26Red marbles:
r = 288 + 26 = 3143/4 cups of sugar for every 3/8 teaspoon of cinnamon what is the unit rate of cups per teaspoon
Answers
Answer:
2 cups per teaspoon
Step-by-step explanation:
3/4 cups of sugar for every 3/8 teaspoon of cinnamon what is the unit rate of cups per teaspoon
From the question:
3/4 cups = 3/8 Teaspoons of cinnamon
the unit rate of cups per teaspoon is calculated as:
3/4 cups÷ 3/8 teaspoons
= 3/4 ×8/3
= 2 cups per teaspoon
HELP I NEED HELP ASAP
Answers
The answer is D (31)
Explanation: there is a pattern by adding 3 each time to the minutes
Answer:
I thinks its 30
Step-by-step explanation:
because they add 3 twice then 2 twice to sooooooo yeh
Point D is the in center of triangle ABC. Write an expression for the length x in terms of the three side lengths AB, AC, BC.
Hint: Use areas of triangles...A=1/2bh
Answers
Answer:
[tex]x = \frac{2(A_T) }{(AB) + (AC) + (BC)} [/tex]
Problem #4 My teacher said that for every student who earned an A on the last
quiz, three students earned a B. If four students earned an A, how many earned a
B? Why? Explain.
Answers
Answer:
12
Step-by-step explanation:
We can write the following ratio
1:3 (for every student who gets an A 3 gets a b)
We then can write a new ratio
4:x
We can solve this ratio by multiplying the original ratio by 4
4:12
This means that 12 people earned an B
A triangle has a side length of 4 inches and an area of 18 square inches and a larger similar triangle has a corresponding side length of 8 inches
24 square inches
72 square inches
48 square inches
Answers
Answer:
yes it is
Step-by-step explanation:
Identify the slope and y-intercept of the line y = 4x + 2 and graph it
Slope:
Y-intercept:
Answers
Answer:
slope=4x
y intercept=2
Step-by-step explanation:
y=4x+2
The simple equation form is y=mx+b
The y-intercept is the number that is where b is.
In this case 2
and the slope is the number in front of x
in this case is 4
