Answer:
37 1/2 miles
Step-by-step explanation:
1. 3 3/4 + 2 1/2 = 6 1/4
2. 6 1/4 x 6 = 37 1/2
A sphere fits tightly in cylinder. The surface area of the sphere is 100π square inches. Find Volume of the cylinder.
Give answer in terms of π
Answer:
Volume of the cylinder = 250π inch²
Step-by-step explanation:
Surface area of the cylinder is given by,
Surface area = 4πr²
Here, r = radius of the sphere
Since, surface area = 100π square inches
100π = 4πr²
r² = 25
r = 5
From the picture attached,
Height of the cylinder = diameter of the sphere
= 2(r)
= 2(5)
= 10 inches
Volume of the cylinder is given by,
Volume = πr²h
Here, r = radius of the cylinder
h = height of the cylinder
Therefore, Volume of the cylinder = π(5)²(10)
= 250π square inches
if sin a=4 by 5,determine cos a
Answer:
3/5
Step-by-step explanation:
[tex]Sin A = \frac{4}{5}=\frac{oppsite side}{hypotenuse}[/tex]
Adjacent side² = hypotenuse² - opposite side²
= 5² - 4²
= 25 - 16
= 9
Adjacent side = √9 = 3
Cos A = [tex]\frac{Adjacent side}{hypotenuse} = \frac{3}{5}[/tex]
Sin = 4/5 = Perpendicular/hypotenuse
CosA = Base/hypotenuse
Base = √hyp. ^- prep.^
Base= 3/5
May it helps youFind the value of the variable that results in congruent triangles. Explain. SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)
Answer:
x = 7
S.A.S
Step-by-step explanation:
2x + 14 = 4x
2x = 14
x = 7
solve the equation 4x-2 = 8
Answer:
x = 5/2
Step-by-step explanation:
4x-2 = 8
Add 2 to each side
4x-2+2 = 8+2
4x = 10
Divide by 4
4x/4 =10/4
x = 5/2
Answer:
x = 2.5
Step-by-step explanation:
4x - 2 = 8
4x = 8+2
4x = 10
x = 10/4
x = 2.5
Which two of the following mapping statements describe the same translation?
O 6.-9) - (0,1)
0 (-3,7) (-9,10)
(1, -5) (-5, -2)
(2, 4) + (-4,1)
Answer:
The mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
Step-by-step explanation:
In a translation, we have that:
(x,y) -> (x+a,y+b)
In which a and b are how much the values change.
(6.-9) -> (0,1)
x subtracted by 6, y added by 10. So, the translation rule is:
(x,y) -> (x - 6, y + 10).
(-3,7) -> (-9,10)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3).
(1, -5)-> (-5, -2)
x subtracted by 6, y added by 3. So
(x,y) -> (x - 6, y + 3)
Same rule as the above, so the mapping statements (-3,7) -> (-9,10) and (1, -5)-> (-5, -2) describe the same translation.
(2, 4) -> (-4,1)
x subtracted by 6, y subtracted by 3. So
(x,y) -> (x - 6, y - 3)
A store sells three different styles of fleece jacket in a different color is it style can also be purchased with or without it but how many different versions of fleece jacket does the stores sell
Answer:
The store can sell 18 different versions of fleece jacket.
Step-by-step explanation:
The store offers 3 different styles of fleece jackets to its customers. There are 6 different colors available for each style of fleece jacket. The customers can choose from 18 versions of fleece jackets. These jackets can be purchased from the stores by the customers.
Given that ABCD is a rhombus, what is the value of X?
Answer:
3
Step-by-step explanation:
x=(5x-13)
so you work that equation out
take the 5x to the side of x and equate it to what you get
x=5x-13
5x+x=13+5
6x = 18 = x=3
6 6
x=3
Question 7 of 10
In the diagram below, AB is parallel to CD. What is the value of x?
120"
8
A. 80
B. 100
C. 60
D. 120
Can somebody help pls
Answer:
A: 5 and 11- 11 is higher so 11-5= 6
B: 4 and 9- 9 is higher that 4 so 9-4=5
C: -5 and 1- l don't know i couldnt calculate this one, hope these helped
What is the equation of the line that passes through the point (-1,-5) and has a slope of -3
Answer:
y = - 3x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (- 1, - 5) into the partial equation
- 5 = 3 + c ⇒ c = - 5 - 3 = - 8
y = - 3x - 8 ← equation of line
Answer:
y = -3x + -4
Step-by-step explanation:
y = mx + b
to find the y-intercept we need to add or subtract (in this case it's add) a number to x to get to 0.
x = -1.
to get to 0, you need to add one
do that same thing to y
[tex](-1, -5) + (1, 1) = (0, -4)[/tex] therefore the y-intercept (or b) is negative 4.
Greatest common factor of 8c^3 and 6c^4
Explanation:
The GCF of the coefficients 8 and 6 is 2, which forms the coefficient for the answer.
Focusing on the variable terms, we can see that c^3 is found in both expressions. It might help to rewrite the c^4 as c^3*c
Since c^3 is in both, this means c^3 is the remaining part of the answer.
Combining everything gets us to the GCF 2c^3
If we had something like 8c^3+6c^4, then it would factor to 2c^3(4+3c) after pulling out the GCF. I'm using the distributive property.
Answer:
2c³
Step-by-step explanation:
factors of 6: 1, 2, 3, 6
factors of 8: 1, 2, 4, 8
Greatest factor is 2
GCF if c³ and c⁴ is the smaller exponent, so c³
Select the correct answer.
Which number line represents the number 0.7?
Answer:
C
Step-by-step explanation:
CCCCCCCCCCC
please help me with this question!
[tex] \cos(theta) = \frac{60}{61} [/tex]
. In Standard form 4 283.2 is written as A. 4.2832 x 10-3 B. 4.2832 X 10-1 C. 2832 x 10-2 D. 2832 x 103
Solve for x: -2x - 5 = 4
Answer i think it is 4
Evaluate the Function Evaluate x : − 2 x − 5 , then set it equal to 4 . = 4
Step-by-step explanation:
Answer:
x = - 9/2
Step-by-step explanation:
-2x - 5 = 4
-2x - 5 + 5 = 4 + 5 [add 5 both sides ]
- 2x = 9 [ -5 + 5 = 0]
[tex]\frac{-2x}{-2} = \frac{9}{-2}\\\\x = \frac{9}{2}[/tex] [ divide both sides by - 2 ]
Use the grouping method to factor the polynomial below completely X3 - 3x2 + 5x - 15
A. (x2 - 5)(x+3)
B. (x2 - 3)(x + 5)
C. (x2 + 3)(x - 5)
D. (x2 + 5)(x - 3)
[tex]\longrightarrow{\green{D.\:(x²+5)(x-3)}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] {x}^{3} - 3 {x}^{2} + 5x - 15[/tex]
Taking [tex]x²[/tex] as common from first two terms and 5 from last two terms, we have
[tex]➝ \: {x}^{2} \: (x - 3) + 5 \: (x - 3)[/tex]
Taking the factor [tex](x-3)[/tex] as common,
[tex]➝ \: ( {x}^{2} + 5)(x - 3)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
don’t really get this pls help
Answer:
B
Step-by-step explanation:
It should be B
find the value of each variable
Answer:
Step-by-step explanation:
Since the triangle is inscribed in a semicircle, then angle x is a right angle. That means that angle y is 180 - 90 - 31, which is 59.
I need help finding the range I've tried doing this myself 3 times
please help.
What is the slope of the line given by the equation y = 2x + 6?
Answer:
The slope is 2 and the y intercept is 6
Step-by-step explanation:
y = 2x+6
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 2 and the y intercept is 6
Answer:
2
Step-by-step explanation:
slope intercept form is
y = mx + b
m is the slope and b is the y-intercept
y = 2x + 6
m = 2
Slope is 2
The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold?
y=48x−2
y=48x+2
y=2x−48
y=2x+48
Answer:
I think y=,48x+2 is correct
The equation y = 2x - 48 represents y, the profit earned by the hot dog stand for x hot dogs sold. Hence, 3rd option is the right choice.
What are equations?Equations are relations between two equal expressions, usually used to find the values of unknown variables using the constants and the values of other variables (if any).
How do we solve the given question?In the question, we are informed that the profit earned by a hot dog stand is a linear function.
We are also informed that it costs the owner $48 each morning for the day's supply and that he earns $2 profit on each hot dog he sells.
We are asked to find the equation of profit y, for the number of hot dogs sold x.
The basic cost to the owner is $48. This will be his fixed cost, irrespective of the number of hot dogs he sells.
His profit on one hot dog is $2. So, his profit on x number of hot dogs sold will be $2x.
His total profit will be equal to the profits he earned by selling x hot dogs minus the basic cost he needs to pay.
∴ Profit earned = Profit on x hot dogs - Basic cost
or, y = 2x - 48.
∴ The equation y = 2x - 48 represents y, the profit earned by the hot dog stand for x hot dogs sold. Hence, 3rd option is the right choice.
Learn more about equations at
https://brainly.com/question/21405634
#SPJ2
please answer this 2 question
Answer:
Step-by-step explanation:
[tex]2x^{99}+3x^{98}+2x^{97}+3x^{96}+.......+2x+3 = [2x^{99}+2x^{97}+...2x]+[3x^{98}+3x^{96}+......3]\\\\=2x*[x^{98}+x^{96}+...+1]+3[x^{98}+x{96}+....1]\\\\= [x^{98}+x^{96}+..+x^{2}.+1](2x+3)\\\\=( [x^{98}+x^{94}+...+x^{2}]+[x^{96}+x^{92}+.......+1])*(2x+3)\\\\=(x^{2}*[x^{96}+x^{92}+.......+1]+[x^{96}+x^{92}+.......+1])*(2x+3)\\\\=[x^{96}+x^{92}+.......+1](x^{2}+1)(2x+3)[/tex]
What is 5760 minutes, in days? (Remember, there are 60 minutes in an hour and 24 hours in a day.)
Answer:
4 days
Step-by-step explanation:
First Convert minutes to Hours
5760/60=96 Hours
Then convert hours to days
96 Hours/24 = 4 days
Four times the larger of two consecutive even integers is ten less than the smaller. What is the larger of these two numbers?
Answer:
-4 is the larger integer
Step-by-step explanation:
n = smaller integer
n + 2 = larger integer
4(n+2) = n-10
4n + 8 = n - 10
3n + 8 = -10
3n = -18
n = -6
n+2 = -4
PLEASE HELP!! THIS QUESTION IS TIMED T-T
At this rate I kinda wanna just drop out an sing for people on the streets or become a hermit who lives in the hollow of a tree in the middle of a forest next to a little stream.
Answer: B
Step-by-step explanation:
Answer:
the answers B
Step-by-step explanation:
I foreal have to wait 32 seconds just to send this 14 seconds left lol wyd 3 seconds
ACTUALLY ANSWER FULLY OR U WIL BE REPORTED Help pls I do need it
Answer:
125 people
Step-by-step explanation:
P( green) = number of green / total
= 25/120
=5/24
Multiply this probability by 600
5/24 * 600 =125
Answer:
out of 120 people 25 people has chosen green
out of 1 people green will be chosen by 25/120 people
out of 600 people green colour will be chosen by( 25/120)×600 people =25×5=people
Please help or else donkey from Shrek will eat all your pancakes!
Answer: *gives my pancakes away* There enjoy <;3
Step-by-step explanation:
if 1,a,5 and 15 are in proportion ,find the value of a
Answer:
a=3
Step-by-step explanation:
Given :
1:a :: 5: 15
To find a
a=15×1/5
a=3
Therefore, value of a =3
in the Image, XV⊥WZ If m∠YVZ=2x° and m∠XVY=4x+20° , what is the approximate value of x ? ( I need help as quick as possible please) will wise number of points for the first person to answer smart.
Answer:
Step-by-step explanation:
4x + 20 + 2x =90 degree (being perpendicular)
6x + 20=90
6x =90-20
6x =70
x=70/6
x=11.66666667
Solve for y.
2- 1/8y= 11 + 7/8y
Y=
Answer:
21
Step-by-step explanation:
what are the best one for the whole time and place to be a little more than just one person that is not the whole time to sleep on a chair or something
