Answer:
-18√10
Step-by-step explanation:
You use the rule √a·b = √a·√b:
(6√2)(−3√5) = 6·-3√2√5 = -18√(2·5) = -18√10
The dimensions of a figure are doubled, how many times larger will the volume be? Only enter numerical answers
Answer:if you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).
Step-by-step explanation:
Scale factor are used to increase or diminish the original figrure. The new volume will be 8times larger than the initial volum
Scale factorsScale factor are used to increase or diminish the original figrure.
Assume the original dimension of the figure is a, b and c, the volume of te figure will be expresed as:
A = length * width * heiht
A = abc
If the measure of the sides are doubled, hence;
New volume = 2a * 2b * 2c
New volume = 8abc
Ratio = 8abc/abc
Ratio = 8
Hence the new volume will be 8times larger than the initial volume
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PLEASE HELP I don't know what to do!! (will give brainliest for best answer)
(image below)
e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning. (2 points)
SQUARE C = 1 side is 50 ft
SQUARE B = 1 side is 40 ft
SQUARE A = 1 side is 30 ft
Answer:
The consession stand is about 40 feet long.
Step-by-step explanation:
If you look at a side of square B and imagine moving the two stars on the side of it, it should fit "in your head". As for a more mathmatical answer- the two stars are diagonal from eachother on a square with 30 feet sides. The diagonal part of a square is always longer than the sides, and it is obviously not 50 ft (comparing it to the square C) so it must be 40 feet.
Answer:
The school banner can fit across the length of the concession stand
Step-by-step explanation:
The following information is missing:
The length if the sides: c is 50 feet long, b is 40 foot long, and a is 30-foot long.
The distance between the two red stars of the picture makes the hypotenuse of a right triangle, where two sides of length a (30 ft) are the legs. From Pythagorean theorem, diagonal of quare A is:
diagonal² = 30² + 30²
diagonal = √1800 = 42.43 ft
which is longer than the banner.
Step-by-step explanation:
did the test on e d g e n u i t y
Can someone please help me with this.
Answer:
Take the chicken across, and come back, then take the corn across, and come back with the chicken. Then take the fox across and come back. Then take the chicken across!
Step-by-step explanation:
Mark at brainliest if this helps please
Answer:
Well, first you can make the girl take the chicken across the river, leaving the fox with the bag of corn since there will be no harm. Then, she should leave the chicken on the far side and row back across the river. Then she should take the fox across the river. Once she reaches the other side he drops off the fox,however, takes the chicken with her and rows back. Next, she drops off the chicken on the starting side and takes the bag of corn across the river. She then leaves the fox and the bag of corn together and rows back to pick up the chicken, which completes the crossing. Hope it helped!
Step-by-step explanation:
4) If z/3 = 6, what is z equal to?
Answer:
z/3 = 6
multiply both sides by 3
z/3 * 3 = 6*3
z = 18
4. All of the following payroll taxes are expenses incurred by an employer except:
a. Social Security taxes.
c. federal unemployment taxes.
b. federal income taxes.
d. state unemployment taxes.
In a group of 50 people 28% of them has flue shots done. What is the probability to choose from this group 15 people that didn't have flue shot.
Answer:
0.0025 = 0.25%
Step-by-step explanation:
First we need to find how many people don't have flue shots.
28% of 50 is equal to 0.28 * 50 = 14 people.
If 14 people have flue shots, we have 50 - 14 = 36 people that don't have flue shots.
Now, to solve this problem, the probability will be the cases where we have a group of people that don't have flue shots (that is, a combination of 36 choose 15) over the total cases (combination of 50 choose 15):
C(36,15) / C(50,15) = (36!/15!*21!) / (50!/15!*35!) = 0.0025 = 0.25%
In regular polygons, if the number of sides, n, is off, the lines of symmetry will pass through a __________ and the __________ of the opposite side.
Answer:
In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a vertex and the half of the opposite side.
Step-by-step explanation:
This is equivalent to say that a perpendicular bisector of a side of the regular polygon bisects the angle of the opposite vertex to the side, and divide the polygon into two symmetrical parts.
What do you add to 2 2/9 to make 4
Answer:
I believe 1 7/9 will give you 4
Find the value of x needed to make the equation true
Jael and Kelsey work at a bakery. Jael makes 8 cupcakes for every 5 cupcakes that Kelsey
makes. If Kelsey makes 175 cupcakes in one day, what is the total combined number of cupcakes that Kelsey and Jael make in one day?
Answer:
35
Step-by-step explanation:
175/5
Answer:
455 cupcakes
Step-by-step explanation:
If Jeal makes 8 cupcakes for every 5 cupcakes that Kelsey makes and Kelsey made 175 cupcakes then you divide 175 by 5 and you get 35. Then mulitply 35 by 8 and you will get 280. Lastly you add 175 and 280 and you will get 455.what is the y-intercept of the graph of the equation y=4x(3x) A; (0,4) B: (0,3) C;(0,12) D:(0,8)
Answer:
To find y intercept x should be 0.
And in this.
Y=4x.3x
Y=4*0*3*0
Y=0 answer.
Add and simplify.
X+2x/x+1
Answer:
x+3
Step-by-step explanation:
x+2x1+1
x+2+1
x+3
Answer:
x+3
Step-by-step explanation:
x+ 2x /x+1
= x2+3x /x
=x+3
The sum of three numbers is 10. Two times the second number minus the first number is equal to 12.
The first number minus the second number plus twice the third number equals 7. Find the numbers.
Listed in order from smallest to largest, the numbers are
Answer:
-10,1,19
Step-by-step explanation:
x+y+z = 10 (Equation 1)
2y-x= 12 (Equation 2)
x-y+2z = 7 (Equation 3)
(Equation 2): -x = -2y+12
x = 2y-12 (Equation 4)
(Equation 1) - (Equation 3): 2y-z = 3
-z = -2y+3
z = 2y-3 (Equation 5)
Substitute (4) and (5) into (1)
x+y+z = 10
(2y-12)+y+(2y-3) = 10
5y-15 = 10
5y = 5
y=1
Substitute y=1 into (2)
2y-x= 12
2(1)-x= 12
2-x= 12
-x= 12-2
-x= 10
x= -10
Substitute y=1 and x=-10 into (1)
x+y+z = 10
-10+1+z = 10
z-9 = 10
z = 10+9
z = 19
Order: x = -10, y = 1, and z = 19
Answer:
-2 5 7
Step-by-step explanation:
Raffle tickets are being sold for a fundraiser. The function a(n) relates the
amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount
of money raised.
a(n) = 3n - 25
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?
Answer:
If the function is
A(n) = 4n -25
and we wish to get the inverse function N(a)
We let
A(n) = a
n = N(a)
Plugging in the values
a = 4 N(a) - 25
Arranging the equation:
4 N(a) = a + 25
N(a) = (a + 25) /4
The answer is
N(a) = (a + 25) /4
Step-by-step explanation:
The inverse function of a(n) = 3n - 15 is n(a) = 5 + a/3.
What is an inverse function?An inverse function exists a function that undoes the action of another function. A function g exists as the inverse of a function f if whenever
y = f(x) then x = g(y).
We have:
a(n) = 3n - 15
Rewrite the above equation as
a = 3n - 15
Add 15 to both sides of the equation
3n = 15 + a
Divide through by 3, we get
n = 5 + a/3
Express as function then, we get
n(a) = 5 + a/3
Hence, the inverse function is n(a) = 5 + a/3.
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Evaluate the expression when x=2.3, y= -1.6, and z= -4.
x-y+z
Answer:
-.01
Step-by-step explanation:
X - Y + Z
2.3 - (-1.6) + (-4)
2.3 + 1.6 - 4
-0.1
I hope this is helpful!!!!!!! :)
Answer:
-0.1
Hope this helped :)
math question screen shot down below
Answer:
6
Step-by-step explanation:
If you plug 3 into x for the equation, you are left with:
y=-3(3)+15
Expanding the parentheses:
y=-9+15
Combining like terms:
y=6 miles remaining
Hope this helps!
6. Y is 6. He has 6 more miles left to go.
-3*3+15=6
A triangle has a base of x 1/2 m and a height of x 3/4 m. if the area of the triangle is 16 m^2, what are the base and the height of the triangle
Answer:
base = 6.4m
height = 5m
Step-by-step explanation:
Given area = 16m^2
3/4 -1/2 = 1/4 into something x 0.25 its size then add
We see that 2.5 is 10 multiplied. not relevant unless doing algebra
We also see that 0.5 is 0.25 x 2 not relevant unless doing algebra
We start with 5
16/5 = 3.2
if 5 is the height then 3.2 x 2 must be the base.
As we half base to find area so we change this value and reverse the area 1/2 above. 3.2 x 2 = 6.4m base. and 5m height stays as it is.
If we did algebra
Then 1/2 = 0.5 = 4.5
3/4 = 0.75 = 3.75
and we would have to plug in 1 as x
3 as x to find one value as 5.5 (-1) = 4.5
We find 3.75 as 5 (-1 )- 1/4 = 3.75
3.75 x 4.5 = 16.875m^2
and is closest fit using 1/4, 1/2 and -1.
But 3.2 x 5 is a better multiplication as 3 1/5 and finds 16 exact.
10:09 + 08:45 + 0946 + 09:55 =
Answer:
27 : 1000 : 55
Step 1:
Add the expresisons.
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
What is the quotient of 1+i/
3+4i
Answer: 7/25-1/25i
Step-by-step explanation:
Answer:7/25-1/25i
Step-by-step explanation:
The answer is 7/25-1/25i
(6x3)2 = 62(x3)2 = 36x6
True or false
Answer:
false
Step-by-step explanation:
a diamiter of a sphere is
Answer:
radius times 2
Step-by-step explanation:
Answer:
a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Step-by-step explanation:
I don't really think this needs more of an explanation.
Shannon has a bag of jelly beans.
5 Green
2 Red
3 Blue
What is the theoretical probability of
her selecting a red jelly bean?
Answer:
1/5 (20%)
Step-by-step explanation:
1. Find sample size by adding all numbers together
5 + 2 + 3 = 10
2. Since the jelly bean we are finding the probability of is red, 2 will be the nominator of the fractions
3. Make fraction
2/10
4. Simplify
1/5
Hope this helped! Comment if you have any questions. :)
if csc theta = -2.06, find sec(theta-pi/2)
Find the exact value
sin pi/ 18cos pi/9 + cos pi/18sin pi/ 9
Please help me soon, i dont need an explanation but it would be very helpful or if you know a website that can help me i will be very appreciative!
Answer:
a) sec (θ -π/2) = co secθ
b) [tex]sin(\frac{\pi }{18} ) cos (\frac{\pi }{9})+ cos(\frac{\pi }{18} ) sin (\frac{\pi }{9} )=\frac{1}{2}[/tex]
Step-by-step explanation:
a)
Given co sec θ = -2.06
sec (θ -π/2) = sec(π/2 -θ) = co secθ
b)
we will use formula
sin A cos B + Cos A sin B = sin(A+B)
Given [tex]sin(\frac{\pi }{18} ) cos (\frac{\pi }{9})+ cos(\frac{\pi }{18} ) sin (\frac{\pi }{9} )[/tex]
= [tex]Sin(\frac{\pi }{18} +\frac{\pi }{9} )[/tex]
= [tex]sin(\frac{\pi+2\pi }{18} ) = sin(\frac{3\pi }{18})[/tex]
= [tex]sin(\frac{\pi }{6})[/tex]
= [tex]\frac{1}{2}[/tex]
The..... , ....... and.....of three-dimensional figures can be measured.
A. Weight
B. width
C. altitude
D. length
E. height
The length, width, and height of three-dimensional figures can be measured.
What is the volume of a Cuboid?A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges
The volume of a cuboid is the product of its length , width and height
The volume of the cuboid is given by
Volume of Cuboid = Length x Width x Height
Given data ,
Let the length of the cuboid be = L
Let the width of the cuboid be = W
Let the height of the cuboid be = H
Now , length, width, and height of three-dimensional figures can be measured.
Therefore, the correct options are D. length, E. height, and B. width.
Option A. weight refers to the force exerted on an object due to gravity, and option C. altitude refers to the height above sea level.
Hence , the cuboid is a three-dimensional figure
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11. Your company earns extra money by advertising other local businesses in their monthly newsletter . You charge $145 for a half -page ad , and $ 260 for a full - page ad in the newsletter . the company earned a total of 1650 from ad sales last month , how many full page , and how many half page ads did you sell ?
Answer:
six half page ads and three full page ads
Step-by-step explanation:
6*145= 870
3*260= 780
870+780= 1650
The floor of a rectangular shelf has a length 5 feet greater than its width. James will increase both dimensions of the shelf by 3 feet. As an expression, how much more is the new area compared to the original area of the floor of the shelf?
Answer:
area of shelf=x*x+5=x²+5x
new area=x+3*x+8=x²+11x+24
the new area is 6x+24 more than original
Step-by-step explanation:
hope this helps
Triangle MNO is reflected over the x-axis and then translated up 4 and right 3. On a coordinate plane, triangle O M N has points (1, 3), (2, 1), (negative 1, 2). Triangle O prime M prime N prime has points (4, 1), (5, 3), (2, 2).
How can the transformation be amended such that the translation can occur before the reflection and have the image remain in the same
position?
Answer:
Option A. Translate the pre-image down 4 and right 3 and then reflect the figure over the x-axis
Step-by-step explanation:
The required translation is to translate triangle MNO 4 units down and 3 units left. Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.
Here,
Triangle MNO is reflected over the x-axis and then translated up 4 and right 3.
On a coordinate plane, triangle OMN has points (1, 3), (2, 1), and (-1, 2). Triangle O'M'N' has points (4, 1), (5, 3), (2, 2).
Before reflection, the translation of MNO is given as 4 units down and 3 units left.
Thus, the required translation is to translate triangle MNO 4 units down and 3 units left. Option A is correct.
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In ΔNOP, the measure of ∠P=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ∠N to the nearest tenth of a degree
Answer:
52.6
Step-by-step explanation:
If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much). To find angle N, we can use trig. We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse. (sin=opposite/hypotenuse). However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator. So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6
I can explain more if you dont understand
Answer:
23
Step-by-step explanation:
Which of the following is a solution to this inequality? Y<2/3x+2
(0,3)
(-3,1)
(3,5)
(1,2)
Answer:
(1,2)
Step-by-step explanation:
I graphed the inequality on the graph below and found which answer was a solution.
If this answer is correct, please make me Brainliest!
