Answer: [tex]6x-5[/tex]
Step-by-step explanation:
Given
The side lengths of a triangle are [tex]3x-5, 2x-1,\text{and}\ x+1[/tex]
Perimeter(P) is the sum of the side length of the triangle i.e.
[tex]\Rightarrow P=3x-5+2x-1+x+1\\\Rightarrow P=6x-5[/tex]
Therefore, the perimeter of the triangle is [tex]6x-5[/tex]
find the value of tan30+cot30+sin60
Hello!
This is a problem about relating values of the Unit Circle.
First, we need to figure out the specific "points" of each angle measure of 30 and 60.
For the angle measure 30, the point will be [tex](\frac{\sqrt{3}}{2},\frac{1}{2})[/tex].
For the angle measure 60, the point will be [tex](\frac{1}{2},\frac{\sqrt{3}}{2})[/tex].
The tangent value of a point will be its [tex]y[/tex] value over its [tex]x[/tex] value.
[tex]\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]
The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.
[tex]\frac{3}{\sqrt{3}}=\frac{3\sqrt{3}}{3}=\sqrt{3}[/tex]
The sine value of a point will be the [tex]y[/tex] value of the point.
[tex]\frac{\sqrt{3}}{2}[/tex]
So the values we have so far are [tex]\frac{\sqrt{3}}{3}+\sqrt{3}+\frac{\sqrt{3}}{2}[/tex]
Now we have to find the LCD to add these together, which in this case would be 6.
[tex]\frac{2\sqrt{3}}{6}+\frac{6\sqrt{3}}{6}+\frac{3\sqrt{3}}{6}[/tex]
Which adds up to [tex]\frac{11\sqrt{3}}{6}[/tex], which is in simplest radical form.
Hope this helps!
A pair of shoes usually sells for $58. If the shoes are 40% off, and sales tax is 6%, what is the total price of the shoes, including tax?
Answer:
24.59
Step-by-step explanation:
HELP ASAP
High-quality goods and services are made available to consumers because of producers __________.
A.hold self-interests
B.would like to compete
C.look for subsidies
D.specialize in production
Please select the best answer from the choices provided
A
B
C
D
Answer:
I think it’s D.
Step-by-step explanation:
The total surface area of a cylinder with height 5 in. is given by the function g(x) = 2πx2 + 10πx, where x is the radius, and the function f(x) = 10πx gives the surface area of the side of the cylinder. Which combined function gives the total surface area of the two bases of the cylinder? A. f + g B. f – g C. g – f D. f · g
Answer:
C. g - fStep-by-step explanation:
Total surface area of a cylinder with height 5 is:
A = 2πrh + 2πr² = 10πr + 2πr²If we substitute r with x, we get:
g(x) - full surface areaf(x) - surface areaTotal surface area of two bases:
g - f = 2πx² + 10πx - 10πx = 2πx²Correct choice is C
Is this a function? Why or why not?
In the morning, the number of ducks at the reservoir was 80. By noon, the reservoir had 135 ducks. What was the percent of change in the number of ducks? Round your answer to the nearest whole percent.
Answer:
60 percent
Step-by-step explanation:
number of ducks in morning=80
ducks in after noon=135
for percentage
80/135=0.5925=0.60
0.60*100=60 percent
Constance's car has a 12-gallon gas tank and can travel 25 miles on one gallon of gas. Constance begins with a full tank of gas and drives at a constant rate of 40 miles per hour. How many hours can you she drive before her car runs out of gas
Answer:
7.5 hours
Step-by-step explanation:
12 x 25 = 300
the distance she can travel with a full tank of gas is 300 miles
300 = 40t
300/40 = t
7.5 = t
Find the area of the shaded region.
What is the range of an exponential parent function with base 2?
Answer: I believe its c
Step-by-step explanation:
f(x) is (0,+inf)
April ought some sports drinks and slices of pizza for her friends. She bought 3 more sports drinks than slices of pizza. If her total was $21.25, how many sports drinks did she purchase?
(1 sports drink is $1.75, one pizza slice is $2.75)
{System of Operations}
s= p+3
(number of sports drinks= s)
(pizza slices= p)
Ms. Burk asked her students to simplify expressions. The students answers 4 points
are in the table below. Select the correct option for each expression. *
Student Equivalent Expressions
Emily 3t + 5t - 2t = 6t
Joseph 6(2b + 5) = 12b x 30
Nico
2(5r - 9) = 10r - 18
Katie 5(4d - 5) =20d - 25
Answer: is the teacher mr.Burks? what school you go to if it is costa mesa high i know i had her and still have the notes!
i think it its nico and katie but just wait for someone else to answer
Step-by-step explanation:
A basketball team wants to see if its fans like its new uniforms. Which description represents a population?
A basketball team wants to see if its fans like its new uniforms. Which description represents a population?
A. children who root for the team
B. season ticket holders
C. employees who work for the basketball team
D. fans of the basketball team
Answer:
xd
Step-by-step explanation:
xd
se pone primero la x y despues la d, se dice gracias crick
You are the owner of the biggest and newest roller coaster called the Gentle Giant. The roller coaster costs $6 to ride. The operator of the ride must pay $200 per day for the ride rental and $65 per day for a safety inspection. If you want to make a profit of at least $1,000 each day, what is the minimum number of people that must ride the roller coaster? Write an inequality that can be used to find the minimum number of people, , which must ride the roller coaster each day to make the daily profit.
Answer:
Inequality: 6r - 200 - 65 [tex]\geq[/tex] 1000 and minimum of 211 people
Step-by-step explanation:
Let r = rides
6r - 200 - 65 [tex]\geq[/tex] 1000
6r - 265 [tex]\geq[/tex] 1000
6r [tex]\geq[/tex] 1265
r [tex]\geq[/tex] 210 [tex]\frac{5}{6}[/tex]
Needs 211 people to make a profit of at least $1000
Can someone help me with this pattern:
Sweet Time Bakery just opened and is increasing the number of items they bake. For example, the bakery made 1 carrot cake in January, 4 carrot cakes in February, 16 carrot cakes in March, and 64 carrot cakes in April. If this pattern continues, how many carrot cakes will the bakery make in May?
Answer:
256
Step-by-step explanation:
Rule:*4
1*4=4
4*4=16
16*4=64
64*4=256
I hope this helps!
What is the prime number that is between 21 and 28
Please help quick
Answer:
23
Step-by-step explanation:
Please help..
Solve for the area of the figure below and show work.
Answer and Step-by-step explanation:
1. We can see that this kite-shape has 4 triangles in it.
The area of a triangle is as follows:
[tex]A = \frac{bh}{2}[/tex]
Where:
b = Base (length)
h = Height
Top Right Triangle Area:
b = 9
h = 3
A = [tex]\frac{3 * 9}{2}[/tex]
A = [tex]\frac{27}{2}[/tex]
Bottom Right Triangle Area:
b = 9
h = 3
A = [tex]\frac{3 * 9}{2}[/tex]
A = [tex]\frac{27}{2}[/tex]
Top Left Triangle Area:
b = 4
h = 3
[tex]A = \frac{4*3}{2}[/tex]
A = [tex]\frac{12}{2}[/tex]
A = 6
Bottom Left Triangle Area:
b = 4
h = 3
[tex]A = \frac{4*3}{2}[/tex]
A = [tex]\frac{12}{2}[/tex]
A = 6
Now, we add all the areas together to get the area of the kite figure.
A = [tex]\frac{27}{2}[/tex] +
A = 27 + 12
A = 39
The area of the kite figure is 39 [tex]m^{2}[/tex].
2. We have to find the area of the trapezoid.
(I'm not sure if the 9 is for the entire bottom side length)
If the bottom side length is 9, then we would use the formula:A = [tex]\frac{a + b}{2} h[/tex]
to find the area of the entire trapezoid.
A = [tex]\frac{2.4 + 9}{9}[/tex] × 8.2
A ≈ 46.74 [tex]mi^{2}[/tex]
#teamtrees #PAW (Plant And Water)
Find the area (include units in your response
Answer: 128
Step-by-step explanation: a=bh so 16 x 8 =128
A jar contains 3 red marbles, 6 blue marbles, 5 green marbles and 6 yellow marbles. Assume there is replacement.
what's the area of the circle
Answer:
3.14
Step-by-step explanation:
In how many ways can 10 horses be arranged in a merry-go-round?
Answer:
120 possible combinations
Step-by-step explanation:
sets:
{1,2,3} {1,2,4} {1,2,5} {1,2,6} {1,2,7} {1,2,8} {1,2,9} {1,2,10} {1,3,4} {1,3,5} {1,3,6} {1,3,7} {1,3,8} {1,3,9} {1,3,10} {1,4,5} {1,4,6} {1,4,7} {1,4,8} {1,4,9} {1,4,10} {1,5,6} {1,5,7} {1,5,8} {1,5,9} {1,5,10} {1,6,7} {1,6,8} {1,6,9} {1,6,10} {1,7,8} {1,7,9} {1,7,10} {1,8,9} {1,8,10} {1,9,10} {2,3,4} {2,3,5} {2,3,6} {2,3,7} {2,3,8} {2,3,9} {2,3,10} {2,4,5} {2,4,6} {2,4,7} {2,4,8} {2,4,9} {2,4,10} {2,5,6} {2,5,7} {2,5,8} {2,5,9} {2,5,10} {2,6,7} {2,6,8} {2,6,9} {2,6,10} {2,7,8} {2,7,9} {2,7,10} {2,8,9} {2,8,10} {2,9,10} {3,4,5} {3,4,6} {3,4,7} {3,4,8} {3,4,9} {3,4,10} {3,5,6} {3,5,7} {3,5,8} {3,5,9} {3,5,10} {3,6,7} {3,6,8} {3,6,9} {3,6,10} {3,7,8} {3,7,9} {3,7,10} {3,8,9} {3,8,10} {3,9,10} {4,5,6} {4,5,7} {4,5,8} {4,5,9} {4,5,10} {4,6,7} {4,6,8} {4,6,9} {4,6,10} {4,7,8} {4,7,9} {4,7,10} {4,8,9} {4,8,10} {4,9,10} {5,6,7} {5,6,8} {5,6,9} {5,6,10} {5,7,8} {5,7,9} {5,7,10} {5,8,9} {5,8,10} {5,9,10} {6,7,8} {6,7,9} {6,7,10} {6,8,9} {6,8,10} {6,9,10} {7,8,9} {7,8,10} {7,9,10} {8,9,10}
Compare -|56| to -56
Answer:
These are equal!
Step-by-step explanation:
The lines mean a number is opposite. So -56 is equal to -56.
-56=-56
Hope this helps and have a nice day!
Select ALL possible solutions for x that make the statement true.
Inequality: x ≤ 10
Solutions:
8
9
10
11
12
Is this a function?
A) Yes
B) No
Answer:
B
Step-by-step explanation:
Answer:
No, it is not.
Step-by-step explanation:
X has 2 3's. X's shouldn't repeat for it to be a function or else it will overlap.
70 pennies decreased by 20%
Answer:
56 pennies
Explanation:
You should find 20% of 70 to get 14 and subtract that from 70 to get your answer.
Answer:
56
Step-by-step explanation:
Someone please help me with this!!
Answer:
D is the answer
Step-by-step explanation:
Hope that helps
help! brainliest!!! picture below
rewrite the equation 12x=13-x^2
Answer:
x^2+12x-13 = 0
Step-by-step explanation:
12x=13-x^2
=>12x+x^2=13-x^2+x^2
=>x^2+12x-13 = 13-13
=> x^2+12x-13 = 0
Answer:
x² + 12x - 13 = 0
Step-by-step explanation:
12x = 13 - x²
the standard form of an equation is written starting from the variable of the highest degree to the lowest. Hence after rearranging;
0 = 13 - x² - 12x
0 = -x² - 12x + 13
In an equation, the highest degree of a variable should preferably be postive hence the equation to the left side to remove the negative sign:
x² + 12x - 13 = 0
The volume of a large tank is 210 ft3. It is 6 2/3 ft wide and 2 4/5ft high. What is the length of the tank?
Multiply the width by the height:
6 2/3 x 2 4/5 = 18 2/3 square feet.
Now divide the volume by that number:
210 / 18 2/3 = 11 1/4
The length of the tank is 11 1/4 feet
Answer: not sure
Step-by-step explanation:
yep.
Pls HELP!! it is factoring PST answer with explanation please!!!!!! 30 points!
Step-by-step explanation:
these are the answers of your questions
Answer #1:
x ( 3 x − 4 ) ²
Answer #2( [tex]\frac{x}{2}[/tex] − 5 ) ²Help fast please!!! ♥
The graphs of f(x) and g(x) are shown below:
Graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 7, negative 2.
If f(x) = (x + 7)2, which of the following is g(x), based on the translation?
g(x) = (x + 9)^2
g(x) = (x + 5)^2
g(x) = (x + 7)^2 + 2
g(x) = (x + 7)^2 − 2
