Answer:
[tex]r^{2}=\frac{V}{\pi h}[/tex]
Step-by-step explanation:
To solve an equation for one of its variables do that:
Underline the variableSeparate it one side and the other terms on the other sideMake its coefficient equal to 1Let us use these steps to solve our question
∵ V = πr²h
→ Underline r²
∴ V = πr²h
→ Take π and h to the other side by dividing both sides by πh
∵ [tex]\frac{V}{\pi h}=\frac{\pi r^{2}h}{\pi h}[/tex]
∴ [tex]\frac{V}{\pi h}=r^{2}[/tex]
→ The coefficient of r² is 1, so switch the two sides
∴ [tex]r^{2}=\frac{V}{\pi h}[/tex]
question is attached thank you so much
Ratio remains same
[tex]\\ \sf\longmapsto \dfrac{18}{27}=\dfrac{x}{45}[/tex]
[tex]\\ \sf\longmapsto 2/3=x/45[/tex]
[tex]\\ \sf\longmapsto 3x=90[/tex]
[tex]\\ \sf\longmapsto x=30[/tex]
WILL MARK BRAINLIEST Solve the following problems. Write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it. b Given: FD ⊥ AB ∠A ≅ ∠B Prove: ∠F ≅∠CEF
Sum of the interior angles of any triangle equal 180° .
So ;
A + B + ECB = 180°
A = B = μ
So : 2μ + ECB = 180°
→ ECB = 180° - 2μ
_________________________________
ECF + ECB = 180°
ECF + 180° - 2μ = 180°
ECF = 180° - 180° + 2μ
ECF = 2μ
_________________________________
∆ ADE :
A + D + E = 180°
μ + 90° + E = 180°
E = 180° - 90° - μ
E = 90° - μ
_________________________________
AED + AEF = 180°
90° - μ + AEF = 180°
AEF = 180° - 90° + μ
AEF = 90° + μ
_________________________________
AEF + FEC = 180°
90° + μ + FEC = 180°
FEC = 180° - 90° - μ
FEC = 90° - μ (( # ))
_________________________________
∆ BDF :
B + D + F = 180°
μ + 90° + F = 180°
F = 180° - 90° - μ
F = 90° - μ ((★))
_________________________________
((#)), ((★)) say :
FEC = 90° - μ
F = 90° - μ
So : F =~ FEC
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
18. Your neighbor's yard is in the shape of a triangle, with dimensions 120 ft, 84 ft,
and 85 ft. Is the yard an acute, obtuse, or a right triangle? Explain.
The yard is obtuse!
[tex]\large\underline{\underline{\maltese{\red{\pmb{\sf{\: Explanation :-}}}}}}[/tex]
Determination of acute angled triangle:-When the square of the longest side is less than the sum of the squares of two shorter sides then the triangle is acute angled.Determination of right angled triangle:-When the square of the longest side is equal to the sum of the squares of two shorter sides then the triangle is right angled .Determination of obtuse angled triangle:-When the square of the longest side is more than the sum of the squares of two shorter sides then the triangle is obtuse angled.[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
Final answer ⤵️Longest side = 120 feetShorter side = 85 feetShortest side = 84 feet[tex] \sf \longrightarrow \: {120}^{2} > {85}^{2} + {84}^{2} [/tex]
[tex] \sf \longrightarrow \:14400> 7225 + 7056[/tex]
[tex] \sf \longrightarrow \:14400> 14281[/tex]
[tex] \qquad \mathbb{TRUE}[/tex]
Thus, The triangle is obtuse angled...~
We need angle
Apply law of cosines
[tex]\\ \rm\Rrightarrow c^2=a^2+b^2-2abcos\gamma[/tex]
[tex]\\ \rm\Rrightarrow 2abcos\gamma=a^2+b^2-c^2[/tex]
[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{a^2+b^2-c^2}{-2ab}[/tex]
[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{120^2+84^2-85^2}{-2(120)(84)}[/tex]
[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{14400+7056-7225}{-20160}[/tex]
[tex]\\ \rm\Rrightarrow cos\gamma=\dfrac{14231}{-20160}[/tex]
[tex]\\ \rm\Rrightarrow cos\gamma=-0.714[/tex]
[tex]\\ \rm\Rrightarrow \gamma=cos^{-1}(-0.714)[/tex]
[tex]\\ \rm\Rrightarrow \gamma=135.56°[/tex]
The yard is obtuse
A store sells ice cream with assorted toppings. They charge $$$3.00 for an ice cream plus $$50 cents per ounce of toppings.
How much does an ice cream cost with $$11 ounces of toppings?
Answer:
$5.50
Step-by-step explanation:
so if its $3 for an ice cream plus .50 cents per ounce all you have to do is 11 x 0.50 witch would equal $ 5.50.
Please teach me how to solve part b, thank you.
Part (a)
The locus is the set of points that satisfy the given conditions. Namely that the point P needs to be 1 unit from the line given.
Think of a median along a highway. Then imagine the two shoulders of the road. The locus describes the two parallel lines that are to this given median. In other words, the median is y = x+2 and the road shoulders are unknown for now.
Though we do know that parallel lines have equal slopes (but different y intercepts).
Therefore, the answers to the next section will be of the form y = x+k for some real number k.
=============================================================
Part (b)
Use your favorite graphing tool to plot y = x+2. I recommend GeoGebra since I use it all the time, and it's what I used to make the drawing below. Desmos is another tool you can use. Both are free.
Note that point A(0,2) is on the line y = x+2. The line perpendicular to y = x+2 and goes through (0,2) is y = -x+2. From here, plot a circle centered at (0,2) with radius 1. The equation of this circle is x^2 + (y-2)^2 = 1
The intersection points of the circle and y = -x+2 will provide starting points, so to speak, for the two shoulder lines I mentioned in part (a).
The approximate locations of those points are:
B = (0.71, 1.29)
C = (-0.71, 2.71)
From here, it shouldn't be too hard to find the y = mx+b forms of the locus lines. Let me know if you need help with that, or if you need me to check your answers.
Side note: Why is it called a locus? I'm not sure, but my gut feeling tells me it has to do with the insects of a similar sounding name (locus the math term and locust the insect). Imagine millions of them forming various shapes in the sky, similar to how many points are used in the 2D plane to create various curves.
Jeff makes $30 to mow lawns plus $2 per hour. If Jeff made #38 for one lawn, how many hours did he work?
Answer:
4 hours
Step-by-step explanation:
What I did was since he automatically makes 30 dollars when mowing lawns, you can take it away then you have 8 and divide it by 2 then get 4 hours
The length of a rectangular parking area is two times the width. The perimeter is 90 ydFind the length and width of the parking area.
Question :-
The Length of a Rectangular Parking Area is Two times the Width. The Perimeter is 90 yards . Find the Length and Width of the Parking Area .Answer :-
Length of Parking Area is 15 yards .Width of Parking Area is 30 yards .Explanation :-
As per the provided information in the given question, we have been given that the Length of a Rectangular Parking Area is Two times the Width . The Perimeter is given as 90 yards . And, we have been asked to calculate the Length and the Width .
Let the Values be like :-
Length = xBreadth = 2xNow, for calculating the Length & Width , we will use the Formula :-
[tex] \bigstar \: \: \boxed{ \sf{ \: Perimeter \: _{Rectangle} \: = \: 2 \times [ \: Length + Breadth \: ] \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \: \sf{Perimeter \: _{Rectangle} \: = \: 2 \: \times \: [ \: Length \: + \: Breadth \: ]} [/tex]
[tex] \longmapsto \: \: \: \sf { 90 \: = \: 2 \: \times \: [ \: x \: + \: 2x \: ]} [/tex]
[tex] \longmapsto \: \: \: \sf {90 \: = \: 2 \: \times \: [ \: 3x \: ]} [/tex]
[tex] \longmapsto \: \: \: \sf {90 \: = \: 2 \: \times \: 3x } [/tex]
[tex] \longmapsto \: \: \: \sf {90 \: = \: 6x } [/tex]
[tex] \longmapsto \: \: \: \sf {x \: = \: \dfrac { \: 90 \: }{6}} [/tex]
[tex] \longmapsto \: \: \textbf {\textsf{ x \: = \: 15}} [/tex]
Therefore :-
[tex] \Longrightarrow \: [/tex] Length = x = 15 yards
[tex] \Longrightarrow \: [/tex] Breadth = 2x = 2 × 15 = 30 yards
[tex] \underline {\rule {210pt} {4pt}} [/tex]
Note :-
Kindly Scroll the Screen from Right to Left for Better View .The Length of Parking Area is 15 yards and the Width of Parking Area is 30 yards .
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The Perimeter is given as 90 yards. we have been asked to calculate the Length and the Width .
Let the Values be like :-
Length = x
Breadth = 2x
Now, we will use the Formula :-
Perimeter = 2(L + B)
By Substituting the given values in the above Formula :-
Perimeter = 2(L + B)
90= 2(x + 2x)
90= 2(3x)
45 = 3x
x = 15
Therefore :-
Length = x = 15 yards
Breadth = 2x = 2 × 15 = 30 yards
Learn more about the area;
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Drag each expression to show whether it is equivalent to 36x+9 or 9(4x−1).
Answer:
It is not equivalent.
Step-by-step explanation:
9(4x-1) simplifys out to 36x-9.
Suppose you won 10,000,000 in the lottery.
How much do you think you will have to pay in taxes?
How did you determine this?
Answer:
nothing
Step-by-step explanation:
i live in kregon
In
= 2n+2n²
find the first five terms
[tex]t(n) = 2 {n}^{2} + 2n [/tex]
_________________________________
[tex]t(1) = 2 ({1})^{2} + 2(1) [/tex]
[tex]t(1) = 2 \times 1 + 2 \times 1[/tex]
[tex]t(1) = 2 + 2 = 4[/tex]
##############################
[tex]t(2) = 2 ({2})^{2} + 2(2) [/tex]
[tex]t(2) = 2 \times 4 + 2 \times 2[/tex]
[tex]t(2) = 8 + 4 = 12[/tex]
##############################
[tex]t(3) = 2 ({3})^{2} + 2(3) [/tex]
[tex]t(3) = 2 \times 9 + 2 \times 3[/tex]
[tex]t(3) = 18 + 6 = 24[/tex]
##############################
[tex]t(4) = 2 ({4})^{2} + 2(4)[/tex]
[tex]t(4) = 2 \times 16 + 2 \times 4[/tex]
[tex]t(4) = 32 + 8 = 40[/tex]
##############################
[tex]t(5) = 2 ({5})^{2} + 2(5) [/tex]
[tex]t(5) = 2 \times 25 + 2 \times 5[/tex]
[tex]t(5) = 50 + 10[/tex]
[tex]t(5) = 60[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Assume the total cost of a tertiary education will be R75 000 when your child enters university in 18 years. You presently have R7 000 to invest. What rate of interest must you earn on your investment to cover the cost of your child’s tertiary education?
Answer: you need 5000 more
Step-by-step explanation: 70000 + 5000= 75000
The ratio of left-handed students to right-handed students in Mr. Johnson's first period class is 2: 3. If there are 30 students in this class, how many are left-handed?
Answer:
12 left-handed students
Step-by-step explanation:
The ratio 2:3 indicates 2 left-handed students for every 3 right-handed students. This means 2 left-handed students are expected for every 5 total students. You can use this information and set up and solve the proportion 2/5 = x/30
Identify the mistake and write down the correct answe 2/5 + 1/3 = 3/8
Answer:
The mistake is that the denominators are not the same in these fractions so you cannot add them yet. So, you would have to change the denominators to be the same before adding. The denominators I chose is 15, 2/5 times 3 which is equal to 6/15 and 1/3 times 5 which is equal to 5/15. Now, we can add 6/15 and 5/15 which is equal to 11/15!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
If h(x) = 2x+3 and g(x) = 3x-2, find the value of goh(5).
Answer:
h(x)=2x+3
g(x)=3x-2
First we will find goh(x) then we will put the value of x i.e 5.
goh(x)= 3(2x+3)-2
goh(x)=6x+9-2
goh(x)=6x+7
Now put the value of x, we get
goh(5)=6(5)+7
We get the answer 37
Step-by-step explanation:
find the slope of the line that passes through the points A(-6,2) and B(5,-1).
A 3/11
B -3/11
C -1
D -11/3
Answer:
[tex]\boxed{\sf{m=-\dfrac{3}{11} }}[/tex]
Step-by-step explanation:
You simply need to use a slope formula that passes through the points in order to solve this problem.
Slope:
[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN} }[/tex]
y2=(-1)
y1=2
x2=5
x1=(-6)
Rewrite the problem down.
[tex]\sf{\dfrac{-1-2}{5-(-6)}=\dfrac{-1-2}{5+6}=\dfrac{-3}{11}=\boxed{\sf{-\dfrac{3}{11} }}}[/tex]
-3/11
Therefore, the slope is -3/11, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
pls answer this all pls quickly now
Answer:
1. 35 minutes
2. 12:15 p.m.
3. 110 minutes
4. 6:05 p.m.
5. 9:21 a.m.
Step-by-step explanation:
1. Subtract 2:55 from 3:30 = 35
2. Subtract 25 minutes from 12:40 = 12:15
3. Subtract 7:20 from 9:10 = 110
4. Add 35 minutes to 5:30 = 6:05
5. Subtract 33 from 9:54 = 9:21
Laura cut small right triangle off the corners of a larger right triangle to make a trapezoid, as shown belo. What is the area of the shaded trapezoid A.18 square inches B. 21 square inches C. 42 square inchesD. 58 square inches
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
42 inches²
Step-by-step explanation:
→ Work out area of full triangle
0.5 × 10 × 10 = 50
→ Work out area of smaller triangle
0.5 × 4 × 4 = 8
→ Minus the answers
50 - 8 = 42
2. Consider the line
y = 3/5x -8
What is the
slope of the line perpendicular to this line?
Answer:
The slope of the perpendicular line is [tex]-\frac{5}{3}[/tex]
Step-by-step explanation:
The product of the slopes of the perpendicular lines is -1That means to find the slope of a perpendicular line to a given line, reciprocal its value, and reverse its signEx: If the slope of a line is [tex]\frac{1}{3}[/tex], then the slope of the line perpendicular to it is -3Let us solve the question
∵ The equation of a line is y = [tex]\frac{3}{5}[/tex] x - 8
→ The form of the equation is y = m x + b, where m is the slope
∴ The slope of the line is [tex]\frac{3}{5}[/tex]
→ To find the slope of the line perpendicular to it reciprocal it and
reverse its sign
∵ The reciprocal of [tex]\frac{3}{5}[/tex] is [tex]\frac{5}{3}[/tex]
→ Change its sign from positive to negative
∴ The slope of the perpendicular line is [tex]-\frac{5}{3}[/tex]
QUICKKKKKKKKKKKKKKKKKKKKKK PLSSSSSSSSSS
ILL MAKE U BRAINLYEST oops spelt it wrong anyway QUICKKKKKKKK IM ON A TIMER!!!!!!!
By the age of 27 justin had visited 25 of the 50 states what fraction of the states had justin visited
A:2/1
B:25/50
C:1/2
D:1/3
Answer:
Answer is B
Step-by-step explanation:
Answer:
Hello...
Step-by-step explanation:
The answer is:c)1/2
25/50=5/10=1/2
HOPE IT HELPS YOU DEAR....
PLS HELP QUICK DUE SOON
help please:) its a quick question
20 pointss
Answer:
1rst one
Step-by-step explanation:
Answer:
1st
Step-by-step explanation:
Solve for d. 2(d + 2) = 10
Answer:
d=3
Step-by-step explanation:
multiply 2 to d and 2 then you'll have 2D + 4 = 10 then you subtract 4 to 10 you'll have six you divide 6 by 2 and then you'll have three which, d equals 3
Kristen drinks 0.5 liter of orange juice with breakfast each day for 15 days . how many milliliters of orange juice does Kristen drink during the 15 days?
Answer:
7500 ml
Step-by-step explanation:
first times 0.15 x 15
you get 7.5 liters during the 15 days
convert that into milliliters and its 7500ml
which statement describes the point (8, 5) ?
A. the value of the x-coordinate is 5 and the point is above the x-axis
B. the value of the y-coordinate is 5 and the point is above the y-axis
C. the value of the x-coordinate is 8 and the point is to the right of the origin
D. the value of the y-coordinate is 8 and the point is above the x-axis
Answer:
C is the correct answer
A family has two cars. The first car has fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 2150 miles, for a total gas consumption of 60 gallons, How many gallons were consumed by each of the two cars that week?
Answer:
the first car has 25 gallons of gases while the second car has 35 gallons of gases
a skier descended a mountain at a rate of 14 ft per second.
What was his total change in elevation after 8 seconds? (multiplying and dividing integers)
Answer:
The answer is 112ft
Step-by-step explanation:
All you would do is multiply 8x14
On the graph of f(x)=sinx and the interval [2π,4π), for what value of x does f(x) achieve a minimum?
Answer:
Step-by-step explanation:
The minimum value of sinx is -1 when x = 3π/2, 7π/2, ...
In [2π, 4π), x = 7π/2
The function f(x)=sin(x) achieves its minimum value of -1 at x=3π.
The function f(x)=sin(x) is a periodic function with a period of 2π, meaning it repeats every 2π units. Within the interval [2π,4π), which is one period of the function, the minimum value of sin(x) occurs at x=3π.
This is because at x=3π, the sine function reaches its minimum value of -1. As you move further away from 3π, the sine function starts increasing again.
So, within the interval [2π,4π), the function f(x)=sin(x) achieves its minimum value of -1 at x=3π.
To know more about function:
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What two numbers have a least common multiple of 40 and a greatest common factor of 2?
The data set below has 7 values.
Find the mean absolute deviation for the data set.
If necessary, round your answer to the nearest hundredth.
22, 16, 20, 21, 23, 17, 14
Answer:
19
Step-by-step explanation:
First, You want to add all of the data below and you get 133 and with that data you divide 133 by 7 because you have 7 values. I hope i'm right and have a great day :)