Trigonometry Examples Popular Issue Trigonometry Solve the Triangle tri {} {30} {} {60} {} {90} Side Angle is given as b = c = a = A = 30 B = 60 C = 90 Side Angle b = c = a = A = 30 B = 60 C = 90
30 60 90 triangle sides If we know the shorter leg length a, we can find out that: b = a√3 c = 2a If the lasting leg length b is the one parameter given, then:
a = b√3/3 c = 2b√3/3 For hypotenuse c known, the legs formulas Now as follows: a = c/2 b = c√3/2 Or simply type your given values and the 30 60 90 triangle calculator will do the rest!
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A Drama Club is planning a grand opening musical for the new auditorium! It can hold up to 1000 people. They plan on charging $6 for a student ticket (x) and $10 for an adult ticket (y). If they need to make $3500 to cover all of their expenses, answer the following:
a) Write an inequality to represent the number of tickets
b) Write an inequality to represent the amount of money brought in
c) Give ONE combination of student and adult ticket sales that would satisfy both inequalities
d) Give ONE combination of student and adult ticket sales that would satisfy ONE, but NOT both inequalities
this is difficult lol im scared to attempt this so i wont
James Anderson School has 156 students. Grade 5 has 43 students and grade 6 has 42 students. What equations can be used to find how many students the rest of the school has? Complete the equations. ______x x___ ______y y___
7. Jerry has 23 coins in nickels, n, and dimes, d. He
has $1.95 altogether. How many nickels does Jerry
have?
Answer:
17 nickles !
Step-by-step explanation:
First, identify the variables:
n = amount of nickels
d = amount of dimes
Next, setup the equations based on what you know. The first equation is:
n + d = 28
For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:
0.05n + 0.10d = 1.95
This a three-step answer:
In one formula (you can use any of them; most people use the simplest one), single out the variable on one side
Apply the first formula into the second formula, and solve it to get the value of one variable
Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable
======
Step One:
n + d = 28
n + d - d = 28 - d
n = 28 - d
Step Two:
0.05n + 0.10d = 1.95
(0.05 * (28 - d)) + 0.10d = 1.95
1.40 - 0.05d + 0.10d = 1.95
1.40 + 0.05d = 1.95
1.40 - 1.40 + 0.05d = 1.95 - 1.40
0.05d = 0.55
d = 11
Step Three:
n = 28 - d
n = 28 - 11
n = 17
======
Your answer should be 17 nickels and 11 dimes.
You can double check by applying the variables into both formulas.
n + d = 28
17 + 11 = 28
28 = 28
0.05n + 0.10d = 1.95
(0.05 * 17) + (0.10 * 11) = 1.95
0.85 + 1.10 = 1.95
1.95 = 1.95
I hope this helped.
Given a function f(x)=|x+1|-|x -2|
How many solutions has f(x) = a, in respect of a?
If a E {-3, 3}, number of solutions is
if a E (-3, 3) number of solutions is
if a E (-infinity, -3) U (3,infinity) number of solutions is
Answer:
Step-by-step explanation:
[tex]f(x)=/x+1/-/x-2/\\a=/x+1/-/x-2/\\\text{square both sides}\\a^{2}={(x+1)}^{2}+{(x-2)}^{2}-2(x+1)(x-2)\\a^{2}=x^{2}+2x+1+x^{2}-4x+4-2x^{2}+2x+4\\a^{2}=9\\a=\sqrt{9}\\a=+3\text{ or }-3[/tex]
[tex]\text{if }a \in \{-3, 3\},\text{the number of solutions is 2}[/tex]
[tex]\text{if }a \in \{-\infty, -3\}\bigcup\{\infty, 3\},\text{it is just like saying from infinity to infinity, which is still 2}[/tex]
Answer:
a=(x+1)-(x-2)
=x-x+1+2
a=3
When 6 is added to the difference between 4 times a number and 7, the result is greater than 14 added to 3 times the number. Find all such numbers.
Answer: x > 15
Step-by-step explanation:
Let the number be represented by x. Based on the information given, we can form an equation as:
(4x - 7) + 6 > 3x + 14
4x - 7 + 6 > 3x + 14
4x - 3x > 7 - 6 + 14
x > 15
Therefore, x include numbers such as 16, ....
sally and belvedere are collecting shirt with a ratio of 4:10. if they collected 462 shirts altogether, how many shirts did sally collect?
Answer:
Step-by-step explanation:
500
A square has an area of 200 square feet. How long is each side in simplest radical form? If I increase the length of each side by 2, what is the new area in simplest radical form?
Answer:
a) 14.14 feet
b) 260.5 square feet
Step-by-step explanation:
A square has an area of 200 square feet.
a) How long is each side in simplest radical form?
Area of a square = (side length)²
Side length = √Area
Side length = √200 square feet
= 14.142135624 feet
≈ 14.14 feet
b) If I increase the length of each side by 2, what is the new area in simplest radical form?
= 14.14 feet + 2
= 16.14 feet
New area = (16.14 feet)²
= 260.4996 square feet
Approximately = 260.5 square feet
How many tiles will be in figure 100?
NEED THIS ONE asap,
Will give brainlest
Find the perimeter of a triangle with side lengths of 3x, x + 2, and x – 4.
Answer:
5x-2
Step-by-step explanation:
(3x)+(x+2)+(x-4)= 5x-2
Please help!
How are 3(3x+5) and -9x-15 equivalent to 9x+15?
Pls help if you can Thx!
Answer:
The Answer Is E!
Step-by-step explanation:
To solve this equation., you have to try every solution and the only one that perfectly completes both statements is answer E.
We subtract the $1.15 from $2.10 if this is the price of one taco, leaving the price of a small cup of coffees price ($2.10-$1.15=$0.95 for a small cup of coffee
To check it fits both statements, we multiply the price of one coffee by 3 ()$0.95×3=$2.85 for three small coffees\
Next, we multiply $1.15 (one taco) by 2 to fill in the expression ($1.15×2=$2.30)
Finally, we add both the prices of the 3 coffees and two tacos which adds up to a perfect $5.15, justifying the answer
Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.
please help!! will mark brainliest!!
The area of shaded and unshaded sector is 1.13 × P^2 and 1.99 × P^2.
How to find the surface area of some object?
Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object.
Suppose that radius of the considered sphere is of 'r' units.
Then, its surface area S would be:
[tex]S = 4\pi r^2 \: \rm unit^2[/tex]
We are given that;
P is the center, angle LPJ=130degree
Now,
To find the approximate values, we can use 3.14 for π and round to the nearest tenth:
Area of shaded sector = (13π/36) × P^2
≈ (13 × 3.14/36) × P^2
≈ 1.13 × P^2
Area of unshaded sector = (23π/36) × P^2
≈ (23 × 3.14/36) × P^2
≈ 1.99 × P^2
Therefore, by the surface area the answer will be 1.13 × P^2 and 1.99 × P^2.
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Gina is 16 years older than her nephew Paul. In 3 years, she will be 3 times older than Paul. How old are Gina and Paul currently?
9514 1404 393
Answer:
Paul: 5Gina: 21Step-by-step explanation:
In 3 years, the 16-year age difference will be 2 times Paul's age. (3p -p = 2p) Then, Paul will be 8.
Paul is 5 now, and Gina is 21.
What is the answer to this? Please help.
Answer:
1441.08 cubic inches
Step-by-step explanation:
Blue
V = L * W * H
L = 15
W = 9
H = 9
V = 9 * 9 * 15 = 1215 CU IN
YELLOW
Diameter = 6
Height = 8
radius = d/2
radius = 6/2
radius = 3
Volume = pi*r^2 * h
Volume = 3.14*3^2 * 8
Volume = 226.08 Add
1441.08
Caleb has 3 packs of colored pencils. Each pack has x pencils in it. After Ryan gives him 6 more
colored pencils, he has a total of 27 pencils.
Answer:
3 × x + 6 = 27 - 6 = 21 divided by 3 = 7 so 7 pencils in each box. 6 divided by 3 = 2 which means 7 + 2 = 9 pencils in the box total after Ryan gives 6 pencils to caleb.
Step-by-step explanation:
Hope this helps :)
Classify the triangle based on its angles
Answer:
Right-angled triangle
Step-by-step explanation:
It has a square angle, meaning it is a right angle, which is [tex]90^{o}[/tex], making it a right angled triangle
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Xochitl sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
313 visitors purchased no costume.
32 visitors purchased exactly one costume.
23 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase exactly one costume as a decimal to the nearest hundredth.
Answer: 0.09
Step-by-step explanation:
;)
Help! I'll give 30 points!!!!!!
Answer:
D
Step-by-step explanation:
The plotted points do not follow a general direction and therefore have no correlation
Abe makes $18.50 per hour. He works 40 hours a week. He is considering renting an apartment that will cost $1,500 per month. What is the difference between his recommended rent amount and the cost of this apartment (round to the nearest dollar)?
Answer:
os(390) sin(330) csc(60)
Step-by-step explanation:
Find the length and width of a rectangle with an area of 2x + x - 3.
A. l = 2x + 3; w = x + 1
B. l = 2x + 3; w = x - 1
C. l = 3x + 2; w = x - 1
Answer:
the answer would be B: l = 2x + 3; w = x - 1
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What is the circumference of circle P in terms of Pi?
Answer:
56.52 cm
Step-by-step explanation:
9×2×3.14=56.52
9=r (radius)
2 is part of the formula
3.14= pi
Can I please have Brainliest?
What is the sum of the interior angles of the polygon pictured below?
Answer:
720°
Step-by-step explanation:
Formula for sum of interior angles:
(n - 2) x 180
(6 - 2) x 180
4 x 180
720
All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?
Answer:
[tex]Perimeter =58[/tex]
Step-by-step explanation:
Given
[tex]AB = 24[/tex]
See attachment
Required
The perimeter of ABC
First, calculate the lengths of AC and BC.
From the attachment.
[tex]Ax = Az =10[/tex]
[tex]Cx = Cy = 5[/tex]
[tex]By =Bz[/tex]
So, we have:
[tex]AC = 10 + Cx[/tex]
[tex]AC = 10 + 5[/tex]
[tex]AC = 15[/tex]
Also:
[tex]Az + Bz = AB[/tex]
[tex]Az + Bz = 24[/tex]
Recall that: [tex]Ax = Az =10[/tex]
So:
[tex]10 + Bz = 24[/tex]
[tex]Bz = 24 - 10[/tex]
[tex]Bz = 14[/tex]
So, we have:
[tex]By = Bz = 14[/tex]
To calculate BC, we have:
[tex]BC = 5 + By[/tex]
[tex]BC=5+14[/tex]
[tex]BC = 19[/tex]
The perimeter is then calculated as:
[tex]Perimeter = AB + BC + AC[/tex]
[tex]Perimeter = 24 + 19 + 15[/tex]
[tex]Perimeter = 58[/tex]
You are sailing your boat in the Chesapeake Bay to Thomas Point Lighthouse. You see a weather buoy, and you
discover that your boat, the buoy, and Thomas
Point form a right angle using your navigational skills.
What is the value of x?
- 20 km
- 8 km
- 12 km
- 17.3 km
Answer:
Answer of this question is 8km
A circle has a circumference of 50.24 feet. What is the radius? Use 3.14
8 feet
16 feet
25.12 feet
20.5 feeT
Answer:
r≈8ft
Step-by-step explanation:
C=2πr
r=C
2π=50.24
2·π≈7.99594ft
Lisa Has $ 7.80 to spend on some tomatoes and loaf of bread. Tomatoes cost $1.20 per pound, and a loaf of bread costs $1.80.
The inequality 1.20x + 1.80 ≤ 7.80 models this situation, where x is the number of pounds of tomatoes
solve the inequality how many piunds of tomatoes can lisa buy?
Please help me with the article help please help me
Answer:
I think it's like this
Article -6
Description: coffee........ gunguli .
who is interested in statistics?
-karen riche at the French National institute of medical research ,whose work appears in journal neurology
who is the audience?
-7000 men's and women's in the three french cities.
what kind of decision one should make after reading this article?
reading the above article I came to acknowledge that women are only benefited as they don't metabolizes coffee in same way as men.so men should take more care and control over their coffee consumption than women.
Description: coffee........ gunguli
(in here write whole sentence I just did in short cut)
What is 5% as a fraction?
Answer:
1/20,2/40
Step-by-step explanation:
IN EFG the measure of G=90 DG=21 feet and EF=63 feet find the measure of E to the nearest degree.
Answer:
19.5°
Step-by-step explanation:
IN EFG the measure of G=90 DG=21 feet and EF=63 feet find the measure of E to the nearest degree.
We solve the question using Sine rule
= a/sin A = b/sin B
= 21/sin E = 63/sin 90
Cross Multiply
Sin E × 63 = 21 × sin 90
sin E = 21 × sin 90/63
E = arc sin( 21 × sin 90/63)
E = 19.47122°
Approximately = 19.5°
Two hammers and a screwdriver cost a total of 34. A hammer and 3 screwdrivers cost a total of 32. Find the price of each type of tool
Answer: 14 , 6
Step-by-step explanation:
Given
2 hammers and a screwdriver cost 34
1 hammer and 3 screwdrivers cost 32
Suppose the cost of the hammer is x and the cost of the screwdriver is y
[tex]\therefore 2x+y=34\quad\ \ldots(i)\\x+3y=32\quad \ldots(ii)[/tex]
Solving (i) and (ii) we get
[tex]x=14;y=6[/tex]
Thus, hammer cost 14 and screwdriver costs 6