Answer: 15400cm³
Step-by-step explanation:
We are given the following information:
Radius = 14cm
Height = 25cm
π = 3.14
Volume if a cylinder = πr²h
= 3.14 × 14² × 25
= 3.14 × 196 × 25
= 15386
= 15400 to 3 significant figure.
A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 65 miles north of the transmitter to a second city 58 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
Answer:
29% of the drive
Step-by-step explanation:
The plot of the problem is:
Transmitter at origin (0,0)
City to the north at (0,70)
City to the east at (74,0)
The path from city to city is a line with slope:
m = (-70)/74 = -35/37
and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.
The transmitter reach the area enclosed by the next circle:
x^2 + y^2 = 53^2
See the picture attached
The intersection is gotten from the picture or solving:
x^2 + [(-35/37)*x + 70]^2 = 53^2
the points approximately are: (24.1, 47.2) and (45.8, 26.7)
From Pythagorean theorem the total distance of the trip is:
d1 = √(70^2 + 74^2) ≈ 101.9 miles
And the distance when the signal is picked up is:
d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles
You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.
What is 50% in decimal form?
Answer:
0.5
Step-by-step explanation:
divide 50 by 100
and get 0.5
you wish to purchase dog food foe your kennel. you find 2 equal brands. bowser dog food comes in 50lb. bags for 32.50 per bag . Woof woof dog food comes in 40 lb. bags which cost 26.95 each
Answer:
Woof Woof dog food is a better deal. It costs $1.48 per pound.
Bowser dog food costs $1.54 per pound.
Where is point K(-100, 100)
located?
Answer:
K(-100, 100) is located in Quadrant II
Step-by-step explanation:
(look at the graph below)
Answer:
located in quadrant that one
Step-by-step explanation:
EZ: Find the Equation Using Two Points
(0,200) & (120,0)
Answer:
[tex]y = \frac{-5}{3}x+200[/tex]
Step-by-step explanation:
Find the value of the slope.
Find the value of the y-int.
good luck, i hope this helps :)
The sum of two numbers is 100. The different between them is 56. What is the larger number?
[tex]\pink{\bigstar}[/tex] The larger number is [tex]\large\leadsto\boxed{\tt\purple{78}}[/tex]
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• Given:-Sum of two numbers is 100.Difference between the numbers is 56.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• To Find:-The larger number = ?⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-Let the two numbers be 'x' and 'y' respectively.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
According to the question:-
✯ Sum of two numbers is 100.
➪ [tex]\sf x + y = 100 \dashrightarrow\bold\red{[equation \: 1]}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Also,
✯ Difference between the numbers is 56.
➪ [tex]\sf x - y = 100 \dashrightarrow\bold\red{[equation \: 2]}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Adding equation [1] and equation [2]:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf (x + y) + (x - y) = 100 + 56[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf x + y + x - y = 156[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 2x = 156[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf x = \dfrac{156}{2}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ [tex]\large{\bold\red{x = 78}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Substituting the value of x in equation [1]:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf x + y = 100[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf 78 + y = 100[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf y = 100 - 78[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ [tex]\large{\bold\red{y = 22}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, the numbers are 78 and 22.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
The larger number is 78.
Answer:
[tex]here \: given \: that \: sum = 100 \\ diffrence = 56 \\ take \: the \:large \: number = x \\another = y \\ thenx - y = 56 \\ y = x - 56 \\ here \: x + y = 100 \\ x + x - 56 = 100 \\ 2x - 56 = 100 \\ 2x = 156 \\ x = \frac{156}{2} \\ x = 78 \\ large \: number \: = 78 \\ thank \: you[/tex]
The new camera you want to buy is $84.95. This weekit is on sale for 30% off. You also need to pay 7.25% sales tax. What is the inalcost of the camera? This is very easy so Ima give you guys about 50 points because im cool lol
Answer:
283.2325$
Step-by-step explanation:
In 2008, there were 285 cell phone subscribers in the small town of Berrydale. The number of subscribers increased by 75% per year after 2008. How many cell phone subscribers were in Berrydale in 2017?
Answer:
Step-by-step explanation:
[tex]F=I(1.75^t)\\ \\ F=285(1.75)^{y-2008}\\ \\ F=285(1.75)^{2017-2008}\\ \\ F=285(1.75)^9\\ \\ F=43871.99\\ \\ F\approx 43872[/tex]
can you help me ASAP
Simplify
3×4²+8-(6÷2)
Answer:
USE PEMDAS
Step-by-step explanation:
Answer:
53
Step-by-step explanation:
Help me please ........
Answer:
a = 884.19
b = 1004.19
c= - 559.15
d =- 634.16
Step-by-step explanation:
The coordinates of the endpoints of MP are
M(-3,-2) and P (2,3).
Which measurement is closest to the length of MP in
units?
Answer:
I'm pretty sure it is A
rewrite the expression that is equivalent to x^2/3.
-pasagot po please-.-
Answer:
[tex]\sqrt[3]{x^{2}}[/tex]
Step-by-step explanation:
[tex]x^{2/3} = \sqrt[3]{x^{2}}[/tex]
Is the product the same when multiplying 22 x (-5) and multiplying (-5) x 22? Explain
Answer: Yes it's the same due to communitive property of multiplication
Step-by-step explanation:
22 times -5 is -110
-5 times 22 is -110
Answer: Yes Bc Of Communitive Property
Step-by-step explanation:
Help with limits will give brainliest
Step-by-step explanation:
option c is correct....
On Saturday, Carl runs a 3 kilometer trail 2 times. How many centimeters did Carl run?
A) 6,000 centimeters
B) 60,000 centimeters
C) 600,000 centimeters
D) 6,000,000 centimeters
Answer:
c) 600,000
Step-by-step explanation:
100,000 centimeters are in a kilometer, it says that Carl ran a 3 kilometer trail 2 times, that is 6 kilometers in total. So if you multiply 6 and 100,000 you will get 600,000
Hope this helps! :)
Keisha's cat had kittens. The line plot below shows the weight, in pounds, of each kitten.
What is the total weight of all the kittens that weighed 3/8
pound?
Answer:
the answer would be 1 7/8
Step-by-step explanation:
first you would count up the number of kittens that weighted 3/8 of a pound. You should have the number of 5, next you would multiply 5 × 3/8= 1.875 (as a decimal). Then you would convert that number into a mixed number (fraction) because all the answers are in mixed number form. You should get 1 7/8 because:
(1875÷125)(1000÷125) = 158 when reduced to the simplest form. As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 18751000 is also equal to 1 7/8 when expressed as a mixed number.
I hope this helps!
Why is
power sharing desirable ?
Answer:
Why power sharing is desirable? It helps to reduce the possibility of conflict and clashes between social groups. Secondly, a democratic rule involves sharing power with those affected by its exercise, and who have to live with its effects.
Step-by-step explanation:
Similar or not Similar?
Answer:
similar....
Step-by-step explanation:
in the diagram it is clearly shown that corresponding angles are congruent and all the sides are in 1/2 ratio
Find the measure of x (WILL GIVE BRAINLIEST)
Answer: it’s 66
Step-by-step explanation:
The whole triangle is 180, one side is 90 and the other is 24. So you subtract those numbers from 180
please help!! will give brainliest!!
SR=___
Answer:
7
Step-by-step
on 2x-14 you got to divide by 2 on both sides and 2x/2 is 0 so that is how it is 7
Use elimination to solve the system of equations. Enter your answers in the boxes.
3x – 2y = 24
x + 2y = 48
WHATS THE X AND WHATS THE Y
answer: (x,y) = (18, 15)
explanation:
eliminate one variable by adding the equations
4x-72
divide both sides
x = 18
substitute in the value of x
3×18-2y=24
solve the equation
y=18
(x,y) = (18, 15)
check the solution
3×18-2×15= 24
18+2×15= 48
simplify
24=24
48=48
answer: (x,y) = (18, 15)
The value of x and y is 18 and 15.
Elimination method:In this elimination method we can either add or deduct the equations to get an equation in one variable. So that we can easily calculate both the required variable by eliminating one variable.
Since the equations are
3x – 2y = 24 .........(1)
x + 2y = 48............(2)
We have to solve these equations
3x + x = 48 + 24
4x = 72
x = 18
Now y should be
18 + 2y = 48
2y = 30
y = 15
learn more about an equation here: https://brainly.com/question/15844891
Which model represents the factors of x2+9x+8
Answer:
(x+1)(x+8)
Step-by-step explanation:
Those are the factors of x^2+9x+8
I went to the store to buy candy for my family. If I bought a total of 42 pieces of candy and I give my family of five the most pieces of candy each, how many pieces of candy do I have leftover for myself?
work out the total number of mobile phones sold in the 3 years
Answer: your wuestion isn’t specific enough.
Step-by-step explanation:
answer pls lol. also please make sure to explain it!
Answer:
He made 5 2-pointers and 4 3-pointers
Step-by-step explanation:
Let x = number of 2-pointers he scored.
Let y = number of 3 pointers he scored.
The total number of shots he made is x + y, and it it equals 9.
The first equation is
x + y = 9
The total number of points he scored on 2-pointers is 2x. The total number of points he scored on 3-pointers is 3y. The total number of points he scored with 2-pointers and 3-pointers is 2x + 3y. It equals 22.
The second equation is
2x + 3y = 22
We have a system of 2 equations.
x + y = 9
2x + 3y = 22
We will use the substitution method.
Solve the first equation for x.
x = 9 - y
Now substitute 9 - y in for x in the second equation.
2x + 3y = 22
2(9 - y) + 3y = 22
18 - 2y + 3y = 22
y + 18 = 22
y = 4
Now we substitute 4 for y in the first equation and solve for x.
x + y = 9
x + 4 = 9
x = 5
Answer: He made 5 2-pointers and 4 3-pointers
Check:
5 2-pointers and 4 3-popinters are a total of 9 shots, so the number of shots is correct.
Now we check the number of points.
5 * 2 + 4 * 3 = 10 + 12 = 22
22 points is the correct total.
Our answer is correct.
2. To use the weight machines at a
health club, you must be at least
12 years old. Brandon writes the
inequality a > 12, where a represents
age in years, to represent this. Is
Brandon correct? Explain.
Answer:
no, he is not correct because if you must be at least 12, then the inequality should include 12
it should be written as:
a ≥ 12
Step-by-step explanation:
^
Solution (x, y) i dont understand it
Answer:
(3, 3)
Step-by-step explanation:
I guess you're looking for a point that satisfies 2 functions (red and blue). That point is an intersection of these two functions, hence (3,3)
Answer:
[tex]\boxed{\boxed{(x,y)=(3,3)}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:system of linear equationgraphing system of linear equationtips and formulas:when we have two linear equation to find the value of x and y is called the system of linear equationwhen we have graph, the solutions of system of linear equation are the coordinates of two lines cross togetherlet's solve:since you can see at "tips and formulas" what linear equation is and what the solutions are when you have graph
if you see the graph attentively, you can see that the blue line and the red line cross together at (3,3) coordinates
therefore
the solution of the system of linear equation is
(x,y)=(3,3)
whats -11 + x =19
i just dont know what we do can someone help me?
Find the midpoint of a and b where a has coordinates (2,3) and b has coordinates (8,9).
Please help.
Answer:
please follow me bro i have followed u
The coordinate of the midpoint of the line AB are (1,2)
The length of the line AB is 10 units.
if the gradient of AB is 0, Find the coordinates of A and B
ye, cant help here. sorry dude wish i could. i need points tho so