Answer:
Area of the shaded portion = (120π + 36√3)sq. m
Step-by-step explanation:
Area of the shaded region = Area of circle - Area of triangle
Given
radius of the circle = 12m
Area of the circle = πr²
Area of the circle = π(12)²
Area of the circle = 144π m²
Area of the sector = theta/360 * πr²
Area of the sector = 60/360 * 12²π
Area of the sector = 60/360 * 144π = 24π
Area of the triangle = 1/2 bh
Area of the triangle = 1/2 (12cos30)(12)
Area of the triangle = 36√3
Area of the shaded portion = (144π - 24π + 36√3)sq. m
Area of the shaded portion = (120π + 36√3)sq. m
Find the solution to the system of equations. Please Help
Answer:
x=−2
y=−4
Step-by-step explanation:
−2x+2y=−4
3x+3y=−18
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
−2x+2y=−4,3x+3y=−18
To make −2x and 3x equal, multiply all terms on each side of the first equation by 3 and all terms on each side of the second by −2.
3(−2)x+3×2y=3(−4),−2×3x−2×3y=−2(−18)
Simplify.
−6x+6y=−12,−6x−6y=36
Subtract −6x−6y=36 from −6x+6y=−12 by subtracting like terms on each side of the equal sign.
−6x+6x+6y+6y=−12−36
Add −6x to 6x. Terms −6x and 6x cancel out, leaving an equation with only one variable that can be solved.
6y+6y=−12−36
Add 6y to 6y.
12y=−12−36
Add −12 to −36.
12y=−48
Divide both sides by 12.
y=−4
Substitute −4 for y in 3x+3y=−18. Because the resulting equation contains only one variable, you can solve for x directly.
3x+3(−4)=−18
Multiply 3 times −4.
3x−12=−18
Add 12 to both sides of the equation.
3x=−6
Divide both sides by 3.
x=−2
The system is now solved.
x=−2,y=−4
Given that y varies inversely with x, if y=-5 when x=-6, find x when y=-2.5.
15
Explanation:
If y varies inversely as x, the two variables can be represented in an equation in the form
y
=
k
x
where
k
is some constant.
We are given that
y
=
5
when
x
=
6
. We can plug this into the above equation to find what
k
is:
5
=
k
6
30
=
k
Based on this we can create our equation:
y
=
30
x
And then find
x
when
y
=
2
:
2
=
30
x
2
x
=
30
x
=
15
Triangle ABC is congruent to triangle A′′B′′C′′ . Which sequence of transformations could have been used to transform triangle ABC to produce triangle A′′B′′C′′ ? Triangle ABC was translated 10 units right and then reflected across the x-axis. Triangle ABC was reflected across the y-axis and then translated 7 units down. Triangle ABC was reflected across the x-axis and then translated 9 units right. Triangle ABC was translated 7 units down and then 9 units right. A coordinate graph with triangle A B C and triangle A double prime B double prime and C double prime. Triangle A B C has points at A begin ordered pair negative 6 comma 2 end ordered pair, B begin ordered pair negative 3 comma 6 end ordered pair, C begin ordered pair negative 3 comma 2 end ordered pair. Triangle A double prime B double prime C double prime has points at A double prime begin ordered pair 6 comma negative 5 end ordered pair, B double prime begin ordered pair 3 comma negative 1 end ordered pair, C double prime begin ordered pair 3 comma negative 5 end ordered pair.
Answer:
The answer is B
Step-by-step explanation:
Triangle ABC was reflected across the y-axis and then translated 7 units down.
Are the two figures below similar?
Answer:
No
Step-by-step explanation:
While both legs of the triangle are similar with a ratio of 3:4, the hypotenuses of the triangles have a ratio of 8:11
please please help i have three questions left for this lesson
9514 1404 393
Answer:
y = -|x -1| +2
Step-by-step explanation:
The transformation ...
-f(x -h) +k
reflects function f(x) over the x-axis, translates it 'h' units to the right and 'k' units up.
Your absolute value function is reflected over the x-axis, then translated 1 unit right (h=1) and 2 units up (k=2). Putting these values in the function, we have ...
y = -abs(x -1) +2
y = -|x -1| +2
At the beginning of a snowstorm, Nathaniel had 5 inches of snow on his lawn.
The snow then began to fall at a constant rate of 1.5 inches per hour.
Assuming no snow was melting, how much snow would Nathaniel have on his
lawn 5 hours after the snow began to fall? How much snow would Nathaniel
have on his lawn after t hours of snow falling?
Snow after 5 hours:
Show after t hours:
Answer:
In 5 hours he would have 7.5 inches of snow JUST from the snowstorm but the question says that he already had 5 inches in his lawn so that would make 12.5 inches of snow in 5 hours.
The second one says t, it doesn't state a number so lets assume the number is ten. So that's 5 more hours of constant snowfall, this makes our total be the sum of 12.5+7.5. This is equal to 20.
10 hours into the snowstorm Nathaniel had 20 inches of snow in his lawn.
Consider a brainliest if it helps :)
Answer:
Snow after 5 hours = 12.5
Show after t hours= 1.5t+5
Step-by-step explanation:
Can one of y’all help me pls
Answer:
D) x - 7 + 3
Step-by-step explanation:
gave sister = subtract
aunt gave = addition
Equation:
x - 7 + 3
Una empresa de elaboración de helados es capaz de producir 800 litros de helado de tres leches, con 8 máquinas en 42 minutos. Si fallaran dos de las máquinas, pero debieran mantener la producción de helado ¿Cuánto tiempo tardarían?
Answer:
I dont understand spanish!
Step-by-step explanation:
Which measure of center best represents the following
data set?
7, 29, 32, 33, 34, 37, 37
O Range
O Mean
O Median
O Mode
HELP ASAP
Answer:
Median since the numbers are arranged in an ascending order.
Find x in each triangle.
Answer:
x=5cm
Step-by-step explanation:
[tex]\sqrt{4^{2}+3^{2} } =5[/tex]
HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!
PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT (you can use a calculator if you want)
Answer:
1. B.
2. A, E.
3. D.
Step-by-step explanation:
1. 8.225 ÷ 5 = 1.645
2. 892 ÷ 8 = 111.5
8920 ÷ 80 = 111.5
894 ÷ 10 = 89.4
89.2 ÷ 0.08 = 1115
8.92 ÷ 0.8 = 11.15
0.892 ÷ 0.008 = 111.5
3. 4367 ÷ 0.004 = 1,091,750
In 2019, there were about 21 million teenagers (aged 13-17) in the United States. They each sent an average of 3,300 text message per month. About how many text messages did all of the teenagers in the United States send each month? Express your answer using scientific notation.
Answer:
All of the teenagers in the United States sent about 69,300,000,000 text messages each month.
Step-by-step explanation:
Given that in 2019, there were about 21 million teenagers in the United States, and they each sent an average of 3,300 text messages per month, to determine about how many text messages did all of the teenagers in the United States send each month the following calculation should be done:
21,000,000 x 3,300 = X
69,300,000,000 = X
Therefore, all of the teenagers in the United States sent about 69,300,000,000 text messages each month.
HELP REALLY QUICK PLEASE
Answer:
The answer is 140
The yellow part which is shaded is 14x10 which equals 140
i need help as soon as possible the answers are
7
102
14
51
Answer:
The length of diagonal TU is 102 units
Step-by-step explanation:
Mathematically, the diagonals of a parallelogram bisect each other
This means that the lengths on either of the either of the sides are equal
Mathematically, we have it that;
7x + 2 = 6x + 9
7x - 6x = 9-2
x = 7
The diagonal TU has the measure of ;
(7x + 2) + (6x + 9)
7x + 6x + 2 + 9
= 13x + 11
substituting the value of x, we have
13(7) + 11
= 102
pls help solve this math problem
Step-by-step explanation:
the answer is 3 following triangle law
Sophia is going to invest $7,900 and leave it in an account for 6 years.
Assuming the interest is compounded monthly, what interest rate, to the
nearest hundredth of a percent, would be required in order for Sophia to end
up with $9,400?
Answer:
r= 2.90%
Step-by-step explanation:
delta math
two angles in a triangle have measures of 13° and 65° what is the measure of the third angle
Answer:
102
Step-by-step explanation:
All angles added together=180
180-13-65
180-78
102
HELP ASAP GEOMETRY CIRCLES 10TH GRADE
Answer:
a): 68
b): 32
Step-by-step explanation:
In a triangle, there is a total of 180 degrees
We are given 2 out of the 3 angles, 54 and 58 degrees
180-54-58= 68 degrees
In the other angle, both lines form a 90-degree angle
We are given 58 degrees, so the rest must be 32.
please factor -28c-12c²-16
Answer:
-4(3c + 4)(c + 1)
Step-by-step explanation:
Reorder the expression
-12c² - 28c - 16
Divide it by -4
3c² + 7c + 4
Factor it by multiplying a (3) and c (4), then finding 2 factors that add up to b (7)
Two factors of 12 that add up to 7 are 4 and 3.
Use 4c and 3c to substitute for 7c in the expression, and simplify
3c² + 7c + 4
3c² + 3c + 4c + 4
3c(c + 1) + 4(c + 1)
(3c + 4)(c + 1)
Since we factored out a -4 in the beginning, add this in front
-4(3c + 4)(c + 1)
pleaseeeee pleaseeee helppppppppp
Given:
The two vectors are:
[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]
[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]
To find:
The value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex].
Solution:
We have,
[tex]\overrightarrow{a}=2\hat{i}-\hat{j}+\hat{k}[/tex]
[tex]\overrightarrow{b}=\hat{i}-3\hat{j}+5\hat{k}[/tex]
The cross product of these two vectors is:
[tex]\overrightarrow{a}\times \overrightarrow{b}=\begin{vmatrix}\hat{i}&\hat{j}&\hat{k}\\2&-1&1\\1&-3&5\end{vmatrix}[/tex]
[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[(-1)(5)-(1)(-3)]-\hat{j}[(2)(5)-(1)(1)]+\hat{k}[(2)(-3)-(-1)(1)][/tex]
[tex]\overrightarrow{a}\times \overrightarrow{b}=\hat{i}[-5+3]-\hat{j}[10-1]+\hat{k}[-6+1][/tex]
[tex]\overrightarrow{a}\times \overrightarrow{b}=-2\hat{i}-9\hat{j}-5\hat{k}[/tex]
Now the magnitude of the cross product is:
[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{(-2)^2+(-9)^2+(-5)^2}[/tex]
[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{4+81+25}[/tex]
[tex]|\overrightarrow{a}\times \overrightarrow{b}|=\sqrt{110}[/tex]
Therefore, the value of [tex]|\overrightarrow{a}\times \overrightarrow{b}|[/tex] is [tex]\sqrt{110}[/tex].
Please help me ASAP on this
Answer:
z=20
Step-by-step explanation:
(2z + 16) +124 =180
2z + 16 +124
2z + 140 = 180
2z -140 -140
2z = 40
z = 20
Given f(x)=2x^2+1 and g(x)=3x−5 , find the following. g(f(x))
9514 1404 393
Answer:
g(f(x)) = 6x^2 -2
Step-by-step explanation:
Evaluate the expression using the given argument value.
g(f(x)) = g(2x^2 +1) = 3(2x^2 +1) -5
= 6x^2 +3 -5 = 6x^2 -2
__
g(f(x)) = 6x^2 -2
anyone know the answer? I’ll give you brain list if you get it right.
Answer:
C.
Step-by-step explanation:
I need help please thank you
Answer:
1) 4x^2-x+1
2) -4x^2+3x
3) 6r^3 - 15r
Step-by-step explanation:
Plzzzz 70 points For the right answer!!
In a certaint Algebra 2 class of 29 students, 7 of them play basketball and 14 of them
play baseball. There are 10 students who play neither sport. What is the probability
that a student chosen randomly from the class plays basketball or baseball?
Answer:
16 play only basketball
5 play only baseball
19/29 + 5/29 = 24/.29
Step-by-step explanation:
Jessie bought 11 red roses and 7 white roses. The ratio of the number of red roses to the number of white roses is...
ANSWER QUICKLY PLEASE!!
Answer:
11/8 and if you need percentage its about 61%
Step-by-step explanation:
Giving Brainliest, hard question ,pretty sure nobody knows this
south side of town? I think
Answer: north
Step-by-step explanation:
Exit ticket: In the space below, write one similarity and one difference between circle graphs and bar graphs
PLEASE HELP ME! I need to turn in my exit ticket right now!
Line graphs allow us to see overall trends such as an increase or decrease in data over time. Bar graphs are used to compare facts. The bars provide a visual display for comparing quantities in different categories or groups. ... Circle Graphs are used to compare the parts of a whole.
PLEASE HELP
NO LINKS
ALL LINKS WILL BE REPORTED
I APPRECIATE ALL REAL HELP
Answer:
the slope is 2 and the y intercept is 1.
Step-by-step explanation:
find 2 points and plug into this formula. (Y2-Y1)/(X2-X1)
(3-1)/(1-0)=2
y intercept is just when X equal to 0, what is y. Therefore, find X=0 on the graph. X=0, Y=1