Answer:
[tex]Area = 93.21in^2[/tex]
Step-by-step explanation:
Given
[tex]\theta \to[/tex] vertex angle
[tex]\alpha \to[/tex] base angle
[tex]\theta = 3\alpha[/tex]
[tex]l = 14in[/tex] -- congruent sides
Required
The area of the triangle
First, calculate the angles
[tex]\theta + \alpha + \alpha = 180^o[/tex] ----- angles in an isosceles triangle
Substitute [tex]\theta = 3\alpha[/tex]
[tex]3\alpha + \alpha + \alpha = 180^o[/tex]
[tex]5\alpha = 180^o[/tex]
Divide both sides by 5
[tex]\alpha = 36^o[/tex]
Recall that: [tex]\theta = 3\alpha[/tex]
[tex]\theta = 3 * 36^o[/tex]
[tex]\theta = 108^o[/tex]
The area is then calculated as:
[tex]Area = \frac{1}{2}l^2 \sin(\theta)[/tex]
[tex]Area = \frac{1}{2}*14^2 \sin(108^o)[/tex]
[tex]Area = \frac{1}{2}*196 *0.9511[/tex]
[tex]Area = 93.21in^2[/tex]
Alana listed the lowest temperatures recorded in some states
State
Lowest temperature recorded (°F)
-80 Alaska
0 Florida
12 Hawaii
-34 New Jersey
-34 North Carolina
Alana wrote inequalities to compare the temperatures.
Choose all of the correct
inequalities that Alana wrote.
A 12 > 0
B. 0> -34
C. 12<-34
D. -80 < 12
E-34 <-80
The correct inequalities that alana wrote is
B) 0> -34
D) -80< 12
What are the solutions of the equation 12 + 15 - 79?
what kind of triangle is shown
Answer:
right isosceles triangle.
Answer:
right scalene
Step-by-step explanation:
right angle - if one angle is 90 degree
scalene triangle- if all sides are of different lengths
5. Find dy/dx of
of the following
the following functions
y²= 4ax
Answer:
A general rule for functions of the general form:
y = A*x^n
is:
dy/dx = n*A*x^(n - 1)
Then, for the function:
y^2 = 4*a*x
Then we can rewrite this as:
y = (4*a*x)^(1/2) = √(4*a)*x^(1/2)
Then we have:
A = √(4*a)
n = 1/2
Now we can use the above rule to get
dy/dx = (1/2)*√(4*a)*x^(1/2 - 1)
dy/dx = (1/2)*√(4*a)*x^(-1/2)
dy/dx = (1/2)*√(4*a/x)
dy/dx = √(1/4)*√(4*a/x)
dy/dx = √( (1/4)*4*a/x)
dy/dx = √(a/x)
If you roll two dice, what is the probability that the sum is 9?
Answer:
1/9
Step-by-step explanation:
The probability of getting 9 as the sum when 2 dice are thrown is 1/9.
Find m and n...
Help plz
Answer:
m and 100are co-interior angles
so;
m+100=180. (being sum of co-interior angles)
m=180-100
m=80
like wise;
n=100
Help me please help me I really need help
Answer:
44%
0.44 is 44% of 1.
A cylinder with radius 6 cm and height h cm has the same volume as a sphere with radius 4.5cm
Find the value of h.
(The volume, V, of a sphere with radius r is V=4/3pie r^3)
Answer:
h = 4.22 cm
Step-by-step explanation:
Mathematically, we have the volume of a cylinder as;
V = pie * r^2 * h
We have it that the radius is 6 cm
V = pie * 6^2 * h
for the sphere, we have it that;
V = 4/3 * pie * r^3
V = 4/3 * pie * 4.5^3
We can proceed to equate both volumes;
pie * 6^2 * h = 5/3 * pie * 4.5^3
pie on both sides cancel out
6^2h = 5/3 * 4.5^3
36h = 151.875
h = 151.875/36
h = 4.22 cm
find the length of the segment from A to B, round to the nearest tenth.
Answer:
Length AB = square root [5^2 + 3^2]
AB = square root [34]
AB = 5.8309518948
= 5.8 rounded
Step-by-step explanation:
Anyone know how to do this
Answer:
c or a
Step-by-step explanation:
Answer:
A(-3,-1)-----A'(-1,2)
B(2,1)------B'(4,4)
here
x is increased by -1--3=2
and
y is increased by2--1= 3
so
A.(x',y')=(x+2,y+3)
Triangle A'B'C' is the image of ABC under a rotation about point P.
Determine the angle of rotation.
-75
-45
45
75
Answer:
its 45
Step-by-step explanation
It's right I did it on khan
2. What is the value of win this equation?
5w+ 3 = 9
Answer:
w = 1.2 or 6/5
Step-by-step explanation:
math
Solve the equation for x:
Answer:
A. x = 10
Step-by-step explanation:
-5x + 20 = -30
Subtract 20 from both sides
-5x = -50
Divide both sides by -5
x = 10
Answer:
A. x = 10
Step-by-step explanation:
- 5x + 20 = - 30
- 5x = - 30 - 20
- 5x = - 50
5x = 50
x = 50 / 5
x = 10
the solution set of 4x-(x+7)=2(x+3)
Step-by-step explanation:
To Solve:-[tex]\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)[/tex]
SOLUTION:-[tex]\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)[/tex]
[tex]\\ \tt{:}\leadsto 4x-x-7=2x+6[/tex]
[tex]\\ \tt{:}\leadsto 3x-7=2x+6[/tex]
[tex]\\ \tt{:}\leadsto 3x-2x=6+7[/tex]
[tex]\\ \tt{:}\leadsto x=13[/tex]
(3,5) and (9,10) find the slope that passes through the given points
Answer:
5/6
Step-by-step explanation:
slope = (difference in y)/(difference in x)
slope = (10 - 5)/(9 - 3) = 5/6
Answer: 5/6
Answer:
Hi! The answer to your question is [tex]m=5/6[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
What is the area of the trapezoid? The diagram is not drawn to scale.
A. 36 cm2
B. 9 cm2
C. 21 cm2
D. 16.5 cm2
Answer:
Area of trapezoid = 21 cm²
Step-by-step explanation:
Given:
Length of rectangular shape = 4 cm
Width of rectangular shape = 3 cm
Base of triangle = 3 cm
Number of triangle = 3 cm
Find:
Area of trapezoid
Computation:
Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]
Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]
Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]
Area of trapezoid = 12 + 9
Area of trapezoid = 21 cm²
On Tuesday, there were 400 customers at a movie theater, and each customer paid $8 for a ticket. On Wednesday, the owner of the movie theater reduced the regular ticket price from $8 to $6 for tickets that were purchased before 6 p.m. If the daily ticket sales for the two days were the same, and 100 people paid $8 for a ticket on Wednesday, how many people paid $6 for a ticket on Wednesday?
Answer:
400
Step-by-step explanation:
6x + 800 = 3200
6x = 3200 - 800
6x = 2400
= 2400 / 6
x = 400
Hope this answer helps you :)
Have a great day
Mark brainliest
The number of people who paid $6 for a ticket on Wednesday are 300.
What is subtraction?The act or process of subtracting is a mathematical operation in which the difference between two numbers or quantities is calculated.
According to the given question.
Number of tickets sales for Wednesday = 400
Also, on Wednesday number of people who paid $8 for tickets = 100
Therefor,
The number of people or customer who paid $6 for a ticket on Wednesday = Total number of people who purchased tickets - total number of people who purchased tickets for $8
[tex]= 400 - 100\\= 300[/tex]
Hence, the number of people who paid $6 for a ticket on Wednesday are 300.
Find out more information about subtraction here:
https://brainly.com/question/13619104
#SPJ2
There are 11 shirts to select from in a store.
How many ways can 5 different shirts be selected?
PLEASE HELP
Given:
Total number of shirts to select from in a store = 11
To find:
How many ways can 5 different shirts be selected?
Solution:
Number of to select r items from n items is:
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Total number of ways to select 5 different shirts from 11 shirts is:
[tex]^{11}C_5=\dfrac{11!}{5!(11-5)!}[/tex]
[tex]^{11}C_5=\dfrac{11\times 10\times 9\times 8\times 7\times 6!}{5\times 4\times 3\times 2\times 1\times 6!}[/tex]
[tex]^{11}C_5=\dfrac{11\times 10\times 9\times 8\times 7}{5\times 4\times 3\times 2\times 1}[/tex]
[tex]^{11}C_5=462[/tex]
Therefore, there are 462 ways to select 5 different shirts.
Need help fast what are values of x and y
Answer:
y = 52
x = 5
Step-by-step explanation:
14 x + y = 122
y = 52
x = 5
PLS HELP ME I BEG ANYONE!!!
i and c CAN BE SKIPPED!!!
E means explanation ALL I NEED IS the answer and the explanation :(!!!
Answer:
siri answered 6 more questions
Step-by-step explanation:
alexa answered 12 questions
siri answered 18 questions
20% of 60 = 12
30% of 60 = 18
Can someone please explain Conditional probability to me
Answer:
conditional probability is probability based on logic and past events instead of your current data which you got from whichever experiment you did (that is experimental probability)
Step-by-step explanation:
i need help with this and pleases explain this its due today
Answer:
1. x= 20/3 or 6.6666 repeating
2. x=3
3. a=39
Step-by-step explanation:
1. subtract 25 by 5 to get 20, then divide 20 by 3 to get x
2. divide 7 by 21 to get x
3. add 8 to 31 to get a equals 39
Answer:
x = 6.6 repeating 7
Step-by-step explanation:
subtract 5 on both sides
ur left with 3x = 20
divide by 3 on both sides
5.5555 pounded to the nearest
hundredth
IS
Answer:
5.55000
Step-by-step explanation:
i think
Answer:
5.56
Number:
5.555
Nearest:
Hundredths (2 decimals)
Mode: Round
=5.56
A manager of a telemarketing firm is trying to increase his employees' productivity. The table shown indicates the number of months the employees have been working and the number of calls they successfully complete with customers per day.
a. Construct a scatter plot of the data.
b. Based on the shape of the scatter plot, is a linear regression appropriate? What type of correlation appears to be present?
c. W rite a function c(m) to represent the line of best fit. Then interpret the function in terms of the problem situation.
d. Compute and interpret the correlation coefficient.
e. Calculate the residuals for the data and create a residual plot of the data.
f. Based on the residual plot, is a linear model appropriate for the data? Explain your reasoning.
g. Should the manager use a linear regression equation to predict how many successful calls an employee will make if they have been employed for 36 months? Explain your reasoning.
i got it right cus im smart
Use your calculator to find the trigonometric ratio sin 79°
Answer:
0.982
Step-by-step explanation:
Use your calculator to find the trigonometric ratio sin 79°
Answer: 0.982
Find the surface area of the
regular hexagonal prism.
4 cm 12 cm
3.5 cm
Answer:
the surface of hexagonal prism is 12 cm
How many possible passwords can you have if you can use numbers, letters, or capital letters but you must have at least one capital letter and your password needs to be exactly 5 characters long.
Answer:
628 possible passwords.
ACELLUS PLZ HELP ASAP
6101
4629
10730
What is the probability that a given student is a
graduate, given that he or she is on financial aid?
Answer:
The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:
6101 = 100
1879 = X
1879 x 100/6101 = X
187,900 / 6101 = X
30,798 = X
Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Answer:
31%Step-by-step explanation:
can someone please tell me what angle x is
Answer:
it's an angle X duh he he he be
The following are the temperatures of 10 days in winter in °C. 5, 4, 4, -1, 4, 10, 9, 8, 6, 4 Work out the mean temperature.
Answer:
Answer is 5 °C.
Step-by-step explanation:
5 is answer
Answer:
The mean temperature is 5.3 degree Celsius
Step-by-step explanation:
5+4+4-1+4+10+9+8+6+4
= 53
So,
53/10
= 5.3
mark me brainliest plss :))