This question requires the understanding of trigonometric identities. I'll list the ones that are needed to answer this question:
cotθ = 1 / tanθ
tanθ = sinθ / cosθ
Look at the latter identity. We can rewrite it as such:
tanθ * cosθ = sinθ
We are given the expression:
cosθ * tan²θ * cotθ
Referring to the first trigonometric identity above, substitute cotθ:
cosθ * tan²θ * (1 / tanθ)
Multiply tan²θ and the fraction:
cosθ * (tan²θ / tanθ)
cosθ * tanθ
Refer to the second trigonometric identity:
cosθ * tanθ
sinθ
cosθ * tan²θ * cotθ = sinθ
If you have any questions about how I got to the answer, feel free to ask
- breezyツ
add the following fraction give me the answer in lowest terms and mixed numbers if necessary. 10/12 +1/2 =
Answer:
[tex]1\frac{1}{3}[/tex]
Step-by-step explanation:
What is the volume of this sphere? Use a ~ 3.14 and round your answer to the nearest hundredth. 20 mm
Answer:
4186.67 cubic mm=V
Step-by-step explanation:
The volume of a sphere can be found using the equation, [tex]\frac{4}{3} \pi r^{3}[/tex]. It gives us the diameter but we need the radius. To find the radius just divde the diameter by 2, so the radius of the sphere is 10mm.
[tex]\frac{4}{3} (3.14) (10^{3})[/tex]=V
[tex]\frac{4}{3} (3.14) (1000)[/tex]=V
[tex]\frac{4}{3}[/tex](3140)=V
4186.67 cubic mm=V
Someone help what would my average be if I got 100% on my both of my tests? I just wanna know
Answer:
To figure out your average, you add them together then divide by2
Step-by-step explanation:
please please I really need help this depends on my life
Answer:
39.4 divided by (-7.2)= -5.472
6.7-39.31=-32.61
Step-by-step explanation:
the sum of 2 numbers is -48 and their difference is 17.
Answer: -15.5, -32.5
Step-by-step explanation: Call the two numbers x and y, x+y=-48 and x-y=17, subtract both of them and you get 2y=31 and then divide both sides by 2 and get -15.5 for y, plug this back in the equations and get -32.5 for x, hope this helped!
Which expression is equivalent to x+2+[4x-x^2+6x+8 over x+4?
Answer:
-x^3-7x^2-46x-16/x+4
Step-by-step explanation:
The slash is a fraction! Also the fraction is negative :)
What is the diameter of a sphere with a volume of 332\text{ cm}^3,332 cm 3 , to the nearest tenth of a centimeter?
Answer:
The diameter is 8.6cm
Step-by-step explanation:
Given
Shape: Sphere
[tex]Volume = 332cm^3[/tex]
Required
Determine the diameter of the sphere
First, calculate the radius using:
[tex]Volume = \frac{4}{3} \pi r^3[/tex]
Substitute: [tex]Volume = 332cm^3[/tex]
[tex]332= \frac{4}{3} \pi r^3\\[/tex]
Solve for r
[tex]r^3 = \frac{332 * 3}{4 * \pi}[/tex]
[tex]r^3 = \frac{996}{4 * \pi}[/tex]
[tex]r^3 = \frac{249}{\pi}[/tex]
[tex]r^3 = \frac{249}{3.142}[/tex]
[tex]r^3 = 79.25[/tex]
Take cube roots
[tex]r = \sqrt[3]{79.25}[/tex]
[tex]r = 4.3[/tex]
Diameter (D) is calculated as:
[tex]D = 2r[/tex]
[tex]D = 2 * 4.3[/tex]
The table shows the amounts A (in billions of dollars) budgeted for national defense for the years 1998 to 2004.
You will get 40 points if you help me and Brainliest!
Answer:
The answer is c It is hard to explain so sorry
Answer:
C
Step-by-step explanation:
The bus spans from 10 to 20 the absolute value of that is 10 the teachers span from 15 to 30 the absolute value of that is 15 making the teachers 5 miles more than the buses.
Please help!
I don't understand, so if you can explain, that would be amazing. If you just give me an answer, that's ok too!
Answer:
3 units
Step-by-step explanation:
-1, 0, 1 ,2
( 1, 2 ,3)
Give the other person Brainliest :)
a youth basketball has a diameter of about 8.75 inches. what is the volume of air, in cubic inches, that can fill the basketball? round your answer to the nearest hundredths place.
answer(s);
1.) 1,052.31 in^3
2.) 350.77 in^3
3.) 240.41 in^3
4.) 2,805.16 in^3
Answer:
this took hella long to do but it's B
help ASAP Ill give you brainliest
Answer:
none of these
Step-by-step explanation:
There are 3 boys walking
There are a total of 20 people
3/20 = 0.15
That is 15 percent, therefore none of these answers.
Step-by-step explanation:
any has at least one mode
10. Use the two given poInts and calculate the slope.
(7,2), (6,1)
Answer:
The answer is m=1 , the slope is 1
Step-by-step explanation:
Which way will the parabola open? Explain.
Answer fast plsssssss
Answer:
i cat see it
Step-by-step explanation:
Plz help I’ll give brainliest
Answer:
1. y = 2x + 5
2. (-5) + 3 + (-8) = 3 - 5 - 8 = 3 - 13 = -10
3. given: 1/2, 3/4, 7/8, 0.55, 0.1
1/2, 3/4, 7/8 = 4/8, 6/8, 7/8
4/8 < 6/8 < 7/8
1/2 < 3/4 < 7/8
0.55 = 55/100 = 11/20
0.1 = 1/10 = 2/20
2/20 < 11/20
0.1 < 0.55
1/2 = 10/20
2/20 < 10/20 < 11/20
0.1 < 1/2 < 0.55
3/4 = 15/20
11/20 < 15/20
0.55 < 3/4
thus
0.1 < 1/2 < 0.55 < 3/4 < 7/8
Which linear equation represents Catherine’s situation?
Answer:
y=1/9x+104
Step-by-step explanation:
I REALLY hope this helps
Sorry if im wrong
Best of luck!
A drinking glass is shaped like a cylinder, as shown below.
study the figure below...
8 centimeters... 16 centimeters...
Which measurement is closest to the volume of the drinking glass in cubic centimeters?
A. 6434 cm3
A. 6,434 centimeters cubed,
B. 804 cm3
B. , 804 centimeters cubed, ,
C. 1608 cm3
C. , 1,608 centimeters cubed, ,
D. 3217 cm3
Answer:
804 cm3
Step-by-step explanation:
multiply the lenght and the width then multiply by 3.14 which is pi.
(please help)!!!!!!!!!!!!!!
Answer
use trigonometry to find both the answers.
i have done the working out in the picture hope it helps...
Step-by-step explanation:
20. An airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. The airport and factory are 6.0 miles apart. Their distances from the shopping center are 3.6 miles and 4.8 miles, respectively. A service road will be constructed from the shopping center to the highway that connects the airport and factory. What is the shortest possible length for the service road? Round to the nearest hundredth
Answer:
2.88 mi
Step-by-step explanation:
Cody weighed 110 pounds when he started 6th grade but now weighs 150 pounds
as a 7th grader. What is the percent of increase in his weight?
answer: he increased 40 pound
Step-by-step explanation: if it gives negative option please select that
HELPPPPPPPPPPPPP
In a bag of marbles there are 3 blue marbles, 3 red marbles, and 3 green marbles. You pick three marbles out of a bag one at a time without replacement. How many ways can you pick two green marbles first and one red marble last?
Answer:
separating
Step-by-step explanation:
separate the colors and if u separate the green from the red u can easily pick the marbles out
What is the solution to this system
Answer:
Sorry, I was on my phone. Its (2,3)
Step-by-step explanation:
Answer:
(2,3) is the answer
Step-by-step explanation:
A rectangular prism has a base perimeter of 28 inches and a height of 6 inches. What is the lateral surface area of the prism?
Answer:
uhuhuhuhuhuhuhuhuhuhuh oh yeah
Step-by-step explanation:
help please i have 0 clue on what to do
Answer:
Step-by-step explanation:
[tex]9x6x12[/tex]= 648 the length(12m), width(6m), and height(9m) that all i can give you for now because this got me losing brain sells
Answer:
for the first question the answer is 3
for the second question the answer is 9
Step-by-step explanation:
12/4=3, 6/2=3, 9/3=3
8+8+12+12+6+6 = 52 & 108 + 108 + 72 + 72 + 54 + 54= 468
468 / 52 = 9
Find all the missing sides and angles of this triangle,
А
7
B
70°
The measurement of angle A
A A=
The length of side BC
The length of side AC-
Answer:
See solutions below
Step-by-step explanation:
From the given diagram;
AC = opposite
AB = 7 = hypotenuse
Angle of elevation = 70 degrees
Using SOH CAH TOA
Sin theta = opp/hyp
Sin theta = AC/AB
Sin 70 = AC/7
AC = 7sin70
AC = 7(0.9397)
AC = 6.58
Similarly
tan 70 = AC/BC
tan 70 = 6.58/BC
BC = 6.58/tan70
BC = 6.58/2.7475
BC = 2.39
tan m<A = BC/AC
tanm<A = 2.39/6.58
tan m<A = 0.3632
m<A = 19.96degrees
100. 00 - 0.22 what is the answer show your work
Answer:
100.00-0.22 is 99.78
U have to use decimal method. don't use Normal method
The center and a point on a circle are given. Find the circumference to the nearest tenth.
center:(−15, −21);
point on the circle: (0, −13)
The circumference is about ?
Answer:
Circumference ~ 106.8
Step-by-step explanation:
Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is 17. Plug 17 into the formula 2(pi)r to find the Circumference. The answer is 106.8 rounded to the nearest tenth.
Find the value of x in the triangle shown below.
The length of title a is about 2.23607 inches which mark on the tape measure is closest to 2,23607 inches ?
