Answers
Answer:
SA = 80π
Step-by-step explanation:
SA = πr² + πr·slant height
Related Questions
Given that the four points A(1,2), B(2, -5), C(7,0) and D(p,q) are the vertices of the rhombus ABCD
calculate
a) the value of p and of q
Answers
Step-by-step explanation:
Three coordinates of a Rhombus is given to us. And the fourth coordinate is D(p,q) . Weneedtofind the value of p and q . We know that the diagonals of Rhombus bisect each other at right angles . So lets find the midpoint.
• Midpoint of AC :-
[tex]\tt\to Midpoint_{(AC)}= \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint_{(AC)}= \bigg( \dfrac{1+7}{2},\dfrac{2+0}{2}\bigg)\\\\\tt\to Midpoint_{(AC)}= \bigg(\dfrac{8}{2},\dfrac{2}{2}\bigg)\\\\\tt\to \boxed{\orange{\tt Midpoint_{(AC)}= (4,1)}}[/tex]
_______________________________
• Midpoint of BD :-
[tex]\tt\to Midpoint_{(BD)}= \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to \boxed{\orange{\tt Midpoint_{(BD)}= \bigg( \dfrac{2+p}{2},\dfrac{q-5}{2}\bigg)}}[/tex]
_______________________________
Now since these two coordinates must be equal, therefore ,
[tex]\tt\to \bigg( \dfrac{2+p}{2},\dfrac{q-5}{2}\bigg)= (4,1)\\\\\tt\to \dfrac{2+p}{2}=4 \qquad and \qquad \dfrac{q-5}{2}=1 \\\\\tt\to 2 + p = 8 \qquad and \qquad q-5 = 2 \\\\\tt\to p = 8 -2 \qquad and \qquad q = 2 +5 \\\\\tt\to\boxed{\orange{\tt (p,q) = (6,7) }}[/tex]
The question is in the image below
Answers
Answer:
What does the question look like in the image below it.
Step-by-step explanation:
Lines RS, TV, and SW are shown. On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line T V goes through (negative 6, negative 4) and (8, negative 4). Line S W goes through (2, 6) and (2, negative 8). Which statements are true about these lines? Select three options. Line RS has a slope of 6. Line SW has an undefined slope. Line TV has a slope of 0. Lines RS and TV are parallel. Line SW is perpendicular to line RS, but not to line
Answers
Answer:
b, c, d.
Step-by-step explanation:
Statements 2) Line SW has an undefined slope, 3)Line TV has a slope of 0, and 4) Lines RS and TV are parallel are correct.
It is given that there are three lines RS, TV, and SW.
Line RS goes through (-8, 6) and (2, 6).
Line TV goes through (-6, -4) and (8, -4).
Line SW goes through (2, 6) and (2,-8).
It is required to find true statements.
Statements are:
Line RS has a slope of 6.Line SW has an undefined slope.Line TV has a slope of 0.Lines RS and TV are parallel.Line SW is perpendicular to line RS, but not to line TV.What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]m=\frac{y_{2}-y_{1}}{{x_{2}-x_{1}}}[/tex]
Where [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] are points lie on the line.
1. Finding line RS slope by using the above formula:
[tex]m=\frac{6-6}{2-(-8)}[/tex]
[tex]m=0[/tex]
2. similarly finding line SW slope:
[tex]m=[/tex] ∞
3. similarly finding line TV slope:
[tex]m=0[/tex]
4. If the two lines are parallel then their slope will be equal.
The slope of RS = The slope of TV.
Hence RS and TV are parallel.
5. If two lines are perpendicular then their product of slope will be -1.
Here we can see the product of the slope of SW and RS is not defined.
Hence these two lines aren't perpendicular.
Therefore, statements 2, 3, and 4 are correct.
Learn more about the slope of the straight line.
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Suppose you are buying orange juice and you want to find the best deal. You find four different brands that offer various sizes that include 6 oz for $1.25, 8 oz for $1.33, 12 oz for $1.50 and 16 oz for $2.10. Which orange juice is the better buy?
Answers
Answer: 3rd brand.
Step-by-step explanation:
1st brand:
6 oz cost $1.25
The amount per ounce will be:
= $1.25/6
= $0.21
2nd brand:
8 oz cost $1.33
The amount per ounce will be:
= $1.33/8
= $0.17
3rd brand:
12 oz cost $1.50
The amount per ounce will be:
= $1.50/12
= $0.125
4th brand:
16 oz cost $2.10
The amount per ounce will be:
= $2.10/16
= $0.13
From the calculation, the 3rd brand of orange juice is the better but as it's cheaper than others.
Please I need someone to help me with this math problem!!
Answers
= 2x² + 7/x
Step-by-step explanation:
2x³ + 7/x
= 2 • x • x • x + 7/x
= 2 • x • x • x/x + 7/x
= 2 • x • x + 7/x
= 2x² + 7/x
-TheUnknownScientist
Answer:
2x^2 + 7/x................
3. In a thunderstorm, the wind velocity in meters per second can be described by the function
v(p)=5.7998−p‾‾‾‾‾‾‾√,
where
p
is the air pressure in millibars. What is the air pressure of a thunderstorm in which the wind velocity is 49.3 meters per second? Round your answer to the nearest tenth of a millibar.
Answers
Answer:
p = 923.2 millibar
Step-by-step explanation:
Given that,
The wind velocity can be described by the function as follows :
[tex]v(p)=5.7\sqrt{998-p}[/tex]
Where
p is the air pressure in millibar
Put v = 49.3 m/s in the above function.
[tex]49.3=5.7\sqrt{998-p}[/tex]
Squaring both sides,
[tex]49.3^2=(5.7\sqrt{998-p})^2\\\\2430.49=32.49(998-p)\\\\\dfrac{2430.49}{32.49}=(998-p)\\\\74.80=(998-p)\\\\p=998-74.80\\\\p=923.2\ mbar[/tex]
So, the required pressure is equal to 923.2 millibar.
PLISSSSSSSSSSS HELPPPPPPP..............................
Answers
I hope this helps! Any questions please comment and I will try to give clarification!
Answer:
it would be 9 cause with start counting the 7- to 2 its gonna be nine
Step-by-step explanation:
HELPPP ME PLSSSSSSSSSS PEOPLEE I NEED HELP QUICKKK What is y + 1 = 4(x - 1) in slope-intercept form?
Answers
Answer:
C) y=4x-5
Step-by-step explanation:
What is the length of the missing side of the triangle below? (round to the nearest tenth)
Answers
Answer:
10.3
Step-by-step explanation:
Use the pythagorean theorem.
3.9^2 + x^2 = 11^2
x^2 = 105.79
x = 10.3
A rental car company charges $68.64 per day to rent a car and $0.12 for every mile driven. Jaxon wants to rent a car, knowing that:
•He plans to drive 500 miles
•He has at most $210 to spend
What is the maximum number of days that Jaxon can rent the car while staying within his budget?
Answers
Answer:
Step-by-step explanation:
x is the number of miles driven, and I'm assuming that's supposed to say that he plans on driving 500 miles per day and has $210 to spend. We need a cost equation for his trip. $68.64 is the flat fee the company charges regardless of how many miles, x, are driven. If they charge $.12 per mile, that's the rate per mile of the equation which is the same thing as the slope of the linear equation. The cost equation is
y = .12x + 68.64
If he has $210 to spend, let's see how many miles he can go on that by subbing in 210 for y:
210 = .12x + 68.64 and
141.36 = .12x so
x = 1178
He can drive a total of 1178 miles with $210. If he drives 500 miles per day, 1178/500 = 2.356 days. So depending upon when he has to return the car and assuming it's in the morning, he can keep the car for 2 full days and stay within his budget.
What is the base area of a square pyramid of volume 216 cm3 and height 8 cm?
Answers
Answer:
We have the formula for pyramid volume V = (B.h)/3 => B = 3V / h
=> B = (216 . 3)/8 = 81 m2
the base area of a square pyramid : 81 m2
Step-by-step explanation:
Answer:
81cm2
Step-by-step explanation:
Volume = 1/3Base area * height
216 =1/3x * 8
3/8*216 =8/3x *3/8
x=81cm2
Pierre was plotting the quadratic function f(x) = - x ^ 2 + 8x for an exit ticket His work is shown below .
Answers
Answer:
(a) The table
[tex]\begin{array}{cc}x & {f(x)} & {0} & {0} & {1} & {7}& {2} & {12} & {3} & {15} & {4} & {16} & {5} &{15} & {6} & {12} & {7} &{7} & {8} & {0}\ \end{array}[/tex]
(b) See attachment for graph
(c) He swapped the values of the x and y coordinates for one another
Step-by-step explanation:
Given
See attachment for complete question
Solving (a): Complete the table
[tex]f(x) = -x^2 + 8x[/tex]
[tex]x = 0[/tex]: [tex]f(0) = -0^2 + 8*0 = 0 + 0 = 0[/tex]
[tex]x = 1[/tex]: [tex]f(1) = -1^2 + 8*1 = -1 + 9 = 7[/tex]
[tex]x = 2[/tex]: [tex]f(2) = -2^2 + 8 *2 = -4 + 16 = 12[/tex]
[tex]x = 3[/tex]: [tex]f(3) = -3^2 + 8 *3 = -9 + 24 = 15[/tex]
[tex]x = 4[/tex]: [tex]f(4) = -4^2 + 8 *4 = -16 + 32 = 16[/tex]
[tex]x = 5[/tex]: [tex]f(5) = -5^2 + 8 *5 = -25 + 40 = 15[/tex]
[tex]x = 6[/tex]: [tex]f(6) = -6^2 + 8 *6 = -36 + 48 = 12[/tex]
[tex]x= 7[/tex]: [tex]f(7) = -7^2 + 8 *7 = -49 + 56 = 7[/tex]
[tex]x = 8[/tex]: [tex]f(8) = -8^2 + 8 *8 = -64 + 64 = 0[/tex]
So, the complete table is:
[tex]\begin{array}{cc}x & {f(x)} & {0} & {0} & {1} & {7}& {2} & {12} & {3} & {15} & {4} & {16} & {5} &{15} & {6} & {12} & {7} &{7} & {8} & {0}\ \end{array}[/tex]
Solving (b): Plot the graph
See attachment 2 for graph
Solving (c): Why he was marked as incorrect
By comparing the new attached graph (in b) and the graph of the original question, one will notice that the values of the x and y coordinates are switched.
This is why he was marked as incorrect.
Emily has 4 gallons of water. Ryan has 12 quarts of water. How many more cups of water does Emily have than Ryan?
Answers
Answer:
16
Step-by-step explanation:
12 quats into cups = 48 cups
4 gallons into cups = 64 cups
64-48= 16 cups more than Ryan
Can you help me please? I'll mark brainiest
Answers
Answer: I’m pretty sure the answer is d
Step-by-step explanation:
Matt earns $5 for each lawn he does. He wants to earn at least $100. Which inequality represents his situation?
Answers
Answer:
$100 is less than or equal to x
The reason x is more is because he wants to earn $100 but could always earn more money because more money is always great. So x being the money he earns- could either be MORE or EQUAL to $100.
if you have a f in class and get a 80 point assignment in after what will your grade be.
plz help it's important
Answers
Answer:
5 (15%) with your grade of 95 and you see that you have earned 14.85 out of a total 15 points possible in ... If you earn all 20 points/get 100% from the final exam, you'll have 91.95 out of 100 points
what's the volume of the cone
Answers
[tex] \bullet [/tex] Radius (r) of the cone is 3 ft.
[tex] \bullet [/tex] Height (h) of the cone is 9 ft.
To Find:-The volume of the cone.
Solution:-We know,
Formula of Volume of cone is [tex] \frac{1}{3} [/tex]πr²h
So, Volume of the cone = [tex] \frac{1}{3} [/tex] × [tex] \frac{22}{7} [/tex] × (3)² × 9
Volume of the cone = [tex] \frac{1}{3} [/tex] × [tex] \frac{22}{7} [/tex] × 3 × 3 × 9
Volume of the cone = [tex] \frac{22 \: × \: 3 \: × \: 3 \: × \: 9}{3 \: × \: 7} [/tex]
Volume of the cone = [tex] \frac{1782}{21} [/tex]
Volume of the cone = 84.86 cubic ft.
The volume of the cone is 84.86 cubic ft. [Answer]If 5x + y = 20 and 10x - 2y = 50 are two linear equations in two variables. Find the value of x and y.
x = 1, y = 1
x = 2, y = 1/2
x = 9/2, y = -5/2
x = 1, y = 5/2
Answers
Answer:
x = 9/2, y = -5/2
Step-by-step explanation:
5x + y = 20
10x - 2y = 50
There's multiple ways to do this, but I will solve using substitution.
Isolate variable y on the first equation.
5x + y = 20
y = 20 - 5x
Substitute the value of y for 20 - 5x in the second equation.
10x - 2(20 - 5x) = 50
Use distributive property:
10x - 40 + 10x = 50
Combine like terms:
20x - 40 = 50
20x = 90
x = 90/20
x = 9/2
Substitute x for 9/2 and solve for y:
y = 20 - 5(9/2)
y = 20 - 45/2
y = 40/2 - 45/2
y = -5/2
Answer:
x =9/2, y = -5/2
Step-by-step explanation:
5(9/2) + -(5/2)= 20
45/2 + -5/2 = 20
40/2 = 20
10(9/2) - 2(-5/2) = 50
90/2 + 10/2 = 50
45 + 5 = 50
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
Answers
Answer:
option (C) W + 180° is right answer
Could someone please help??
TYY!!! <33
Answers
Answer:
25×124/100=31
120×175/100=210
35×160/100=56
72×165/100=118.8
Answer:
5) 31
6) 210
7) 14
8) 25.2
Step-by-step explanation:
25+6=31
120+90=210
35-21=14
72-46.8=25.2
A can of tuna fish has a height 1inch and the diameter of 3inches how many square inches of paper are needed for the label? How many square inches of metal are needed to make the can including the top and bottom. Round your answer to the nearest whole number use 3.14 for it
Answers
Answer:
9.4
Explanation:
Solve for perimeter to find how long the label is
2(3.14)(1.5)
(c) Using your calculator, sketch a graph of your
function over the interval Osts 20 and
OSD15. Mark the y-intercept with its value.
Answers
Answer:
bro i did not undurstand the question pls make me brillant
Step-by-step explanation:
find the measure of each interior angle of a regular polygon with the following number of sides 10
Answers
Answer:
a regular polygon has all angles measure sum up to 360 degrees so each interior angle = sum of alll angles/no.of sides so it is 360/10= 36 degrees hope its clear now
Step-by-step explanation:
please show your work
Answers
Answer:
m(h+p) - p÷h + m
h = -1, m = 3, and p = 4
3(-1+4) - 4÷(-1) + 3
= 3(3) - (-4) + 3
= 9 + 4 + 3
= 16
D. 16
Answer:
3(-1+4)-4/-1+3
-3+12+4+3
12+4
16
If Sin A = .3642, find the measure of Angle A to the nearest degree.
Answers
Answer:
the measure of angle A to the nearest degree is 36°
The measure of angle A to the nearest degree is 21°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
We can use the inverse sine function (denoted as sin⁻¹ or arcsin) to find the measure of angle A:
sin A = 0.3642
Taking the inverse sine of both sides, we get:
A = sin⁻¹(0.3642)
Using a calculator, we get:
A ≈ 21.3°
Rounding to the nearest degree, we get:
A ≈ 21°
Therefore,
The measure of angle A to the nearest degree is 21°.
Learn more about trigonometric identities here:
https://brainly.com/question/14746686
#SPJ2
Help please!!! I don't understand this so if you do can you write the explanation you don't have to but thank you anyways
Answers
Answer:
ITS 5 UNITS I LEARNED ITS EZ
Step-by-step explanation:
A bicycle store costs $2450 per month to operate. The store pays an average of $75 per bike. The average selling price of each bicycle is $145. How many
bicycles must the store sell each month to break even?
The store must sell bicycles each month to break even
Answers
Answer:
35
Step-by-step explanation:
Breakeven quantity are the number of units produced and sold at which net income is zero
Breakeven quantity = fixed cost / price – variable cost per unit
Fixed costs are costs that do not vary with output. e,g, rent, mortgage payments
If production is zero or if production is a million, Mortgage payments do not change - it remains the same no matter the level of output.
Hourly wage costs and payments for production inputs are variable costs
Variable costs are costs that vary with production
fixed cost = $2450
Variable cost = $75
price = $145
(2450) / (145 - 75) = 35
Select all the expressions that are equivalent to
310
3
–
5
.
Answers
Answer:
I don´t know how to help
Step-by-step explanation:
There are no choices
(b) In a lab, a substance was heated by 6 °C each hour for 48 hours. What was the total change
in temperature?
Х
Answers
Answer:
288 degrees celcius
Step-by-step explanation:
48 x 6 is 288
Answer:
The total change in temperature was 288* degrees.
Step-by-step explanation:
6 x 48 = 288
NO LINKS!! Can someone please help? I'll give 25 points because I'm feeling nice. Thanks! Answer will also be marked Brainliest!
Answers
Answer:
D. - 2Step-by-step explanation:
5(4 +2x) = -(x - 5) - 720 + 10x = -x + 5 -710x + x = -2 - 2011x = - 22x = -22/11x = -2Correct choice is D