Answer:
x=2√5/5
x=-2√5/5
Step-by-step explanation:
13√(2√5/5)^2-(2√5/5)^4+9√(2√5/5)^2+(2√5/5)^4=16
13√(4×5/25)-(16×25/625)+9√(4×5/25)+(16×25/625)
13√(4/5)-(16/25)+9√(4/5)+(16/25)
13√(4/25)+9√(36/25)
13×2/5+9×6/5
26/5+54/5
16=16 (proven)
‼️GEOMETRY‼️
What is the approximate surface area of the largest sphere that can fit inside a cube with a side length of 18 inches?
1018 square inches
1356 square inches
4069 square inches
6104 square inches
Answer:
A.) 1018 square inches
Step-by-step explanation:
The largest sphere will have a diameter equaling the length of the cube (see picture).
If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:
[tex]SA=4\pi r^2[/tex]
For this formula, we need the radius of the sphere. Divide the diameter by 2:
[tex]\frac{18}{2}=9[/tex]
The radius is 9 inches. Plug this into the equation:
[tex]SA=4\pi *9^2[/tex]
Simplify the equation:
[tex]SA=4\pi *81\\\\SA=324\pi \\\\SA=1017.87[/tex]
Round the result to the nearest whole number:
[tex]1017.87[/tex] → [tex]1018[/tex]
The surface area is 1,018 inches².
:Done
Picture:
In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.
3x-y=7
2x+3y=12
how do you solve?
Step-by-step explanation:
2x+3(-7+3x)=12
x=3
y=-7+3x3
y=2
(x,y)=(3,2)
Solve using elimination
3x+3y=27
x-3y= -11
Answer:
(4, 5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertyAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
3x + 3y = 27
x - 3y = -11
Step 2: Solve for x
Eliminate y (add equations): 4x = 16Divide 4 on both sides: x = 4Step 3: Solve for y
Define original equation: x - 3y = -11Substitute in x: 4 - 3y = -11Subtract 4 on both sides: -3y = -15Divide -3 on both sides: y = 5Can someone divide these two? I forgot how to over quarantine and it’s my sisters homework
Answer:
Step-by-step explanation:
Somebody help me please
Answer:
9. m < 1 = 30
10. m < 1 = 83.1
11. m < 1 = 90
12. X= 70, Y= 110, Z= 30
13. X = 80, Y = 100
14. C = 60
Hope this helps.
45 pointssss!!!!
A group of teenagers was asked how many hours they had slept the night before.
The data listed below are the reported responses.
8, 10, 4, 10, 7, 8, 9, 9, 8, 8, 7, 9, 12, 8, 6, 7, 8
Create a dot plot for the data in the list. Hover over each number on the number line. Then click and drag up to create the dots.
Answer:
im not sure i understand but i think you mean put them in order? if i get this wrong then i can answer it down in the comments under this answer
12, 10, 10, 9, 9, 9, 8, 8, 8, 8, 8, 8, 7, 7, 7, 6, 4
please let me know if i got it wrong so i can try to answer it correctly. try adding a picture of the question cus i dont understand
Please help me It was due a few weeks ago!
Solve using long division
(x^2 – 3x - 40) / (x+5)
Answer:
X-8
Step-by-step explanation:
Thats it.
Glven: 2x+3y= 6.
What is the y-intercept?
a) no intercept
b) (0,2)
c) (0,3)
d) (2,0)
Answer:
The answer is B 0,2
Step-by-step explanation:
I hope that correct
Gaston is buying frult at a local grocery store. This table shows the cost per pound of each type of fruit. Match each
quantity of fruit with its total cost. Drag the items on the left to the correct location on the right.
3 pounds of bananas
4.24
4 pounds of grapes
2.37
3 pounds of oranges
1.95
2 pounds of apples
2.68
Answer:
bananas=$12.72
grapes=$9.48
oranges=$5.85
apples=$5.36
Step-by-step explanation:
To find the total cost for each fruit you would multiply the number of fruit by the cost.
bananas=3*4.24=$12.72
grapes=4*2.37=$9.48
oranges=3*1.95=$5.85
apples=2*2.68=$5.36
PLZZ HELP PLZ!!!
1. Draw the points on the graph to represent the solutions.
2. What are the solutions? List them as ordered pairs.
(x,y)
10
3. Based on the graph, would you expect the discriminant
to be positive, negative, or equal to zero?
Answer:
1. The solutions marked on the attached graph
2.The solutions are (-2, 0) and (6, 0)
3. The discriminant would be positive
Step-by-step explanation:
The solution of the quadratic equation is the values of x at y = 0, which means the points of intersection of the graph and the x-axisThe discriminant is positive if the graph intersects the x-axis at two different pointsThe discriminant is zero if the graph intersects the x-axis at only one pointThe discriminant is negative if the graph does not intersect the x-axisBased on the given graph
1.
Look at the attached figure to see the solutions
2.
∵ The graph intersects the x-axis at points (-2, 0), (6, 0)
∴ The solutions are (-2, 0) and (6, 0)
3.
∵ The discriminant is positive if the graph intersects the x-axis
at 2 different points
∵ The given graph intersects the x-axis at points (-2, 0) and (6, 0)
→ They are different points
∴ The discriminant would be positive
2x – 7 = 5x + 8
solve for x
Answer:
-5=x
Step-by-step explanation:
2x-7=5x+8
get like terms on the same side
-7-8=5x-2x (I did this in one step hope you understand if not i can explain)
simplify
-15=3x
divide both sides by 3
-5=x
Find the first, fifth, and tenth terms of the sequence that has the rule:
A(n)=-8+(n-1)(4)
Step-by-step explanation:
A(n)=-8+(n-1)(4)
A(1)=-8
A(5)=-8+16
=8
A(10)=-8+36
=18
anyone know this ?? thanks
y = 1/2x - 2. Hope this helps
2x + 8y = 6
-2x - 8y = -6
Answer:
zero
Step-by-step explanation:
the answer for this equations is zero , you can message me if you need the proof
Thank you.
Hello! Please help.
"Find the error & explain why it is wrong."
Answer: Step E
Step-by-step explanation:
The error is in the last step. In Step D, we see that we're supposed to subtract the second part from the first part. We also see we have the terms 2x-8 in the numerator on the right. Since we're subtracting, the expression should actually be -2x +8. 3 -2x +8 should be -2x +11 which is not the numerator in Step E so the last step is wrong.
A collection of triangular and square tiles contain 50 pieces and 170 sides. Write and solve a system to find how many triangular and square tiles there are.
Answer:
30 triangular tiles and 20 square tiles
Step-by-step explanation:
hope this helps
Find the reference angle for the following angle:
Θ = 17π/4
Θ =
Which is the best estimate of 174% of 141?
245
252
263
270
Answer:
245
Step-by-step explanation:
°174/100*141
=245
Answer:
245, or A
Step-by-step explanation:
got it correct on edge
hope it helps :]
What is the constant term in the polynomial expression -7x2 + 32x + 240, and what does it represent?
Answer:
The constant term is 240. A constant term represents a fixed value. In other words, a term that does not change.
Step-by-step explanation:
In the polynomial expression given, the first and second terms are dependent of x, which means whatever the value x is, the terms will change. For example, if x = 2, we have -7(4) + 32(2) + 240. As you can see the constant never changes because it does not rely on a variable; it is constant.
the area of a square is 4x^2+24x+36. what expressions represents the length of each side of the squae
Answer
is their multiple choice
Step-by-step explanation:
TRIGONOMETRY (sin,cos,tan)
Solve for x
Answer:
22.6
Step-by-step explanation:
The cos of any angle is its adjacent over its hypotenuse:
cos 37 = 17.3 / x
We can multiple both sides by x to get x * cos 37 = 17.3 and then we can divide both sides by cos 37 to get x by itself:
x = 17.3 / cos 37
So solving for x, x is equal to about 22.6
The graph y = x squared - 3x + 4 is plotting on to a set of axes. What are the co-ordinates of where the graph crosses?
A). 1,4
B). 4,1
C). 4,0
D). 0,4
Answer:
D)0,4
Step-by-step explanation:
HELP PLEASE QUICKLY!! Please
Four dice are placed into your hand and you roll all dice onto the floor. What are the odds that all
four dice will show an even number?
Answer:
0.0625 or 6.25%
Step-by-step explanation:
You have a 50% chance of each die to roll a even. Since you are rolling 4 you need to times them together. So .5*.5*.5*.5=0.0625 or 6.25%
what is the y=mx+b for y=-2x+5 and 2y+4x=10
1/2 +4/7 please help me
Answer:
next time dont answer my question saying dumb shi
Step-by-step explanation:
pls help i don't know what it is asking
Answer:
e=1
Step-by-step explanation:
Regular hexagon ABCDEF is inscribed in a circle with center H.
a. What is the image of segment BC after a 120-degree clockwise rotation about point H?
b. What is the image of segment BC after a reflection over line FC?
Answer both questions in the box below.
plz help me
I'm uploading a picture because it thought it had innapropriate words for some reason.
The transformation of a shape includes rotating and reflecting the shape;
The image of BC after [tex]120^o[/tex] is FAThe image of BC reflecting over FC is DC.(a) Image of BC after [tex]120^o[/tex] rotation
First, we calculate the angle of rotation, to make the hexagon lie onto itself
[tex]\alpha = \frac{\theta}{n}[/tex]
Where:
[tex]\theta = 360^o[/tex] --- angle at the center of the hexagon and the circle
[tex]n = 6[/tex] -- sides of hexagon
So, we have:
[tex]\alpha = \frac{360^o}{6}[/tex]
[tex]\alpha = 60^o[/tex]
This means that a [tex]60^o[/tex] rotation would make the hexagon lie onto itself.
We have that:
[tex]120^o = 60^o \times 2[/tex]
This means that the shape can be rotated [tex]60^o[/tex] twice to achieve the [tex]120^o[/tex] rotation.
The image of BC at the first [tex]60^o[/tex] rotation is AB
The image of BC at the next [tex]60^o[/tex] rotation is FA
Hence, the image of BC after [tex]120^o[/tex] is FA
(b) Image of BC after reflection over line FC
Line FC divides the hexagon into equal halves.
So, when reflected over line FC, each segment would be flipped on the opposite segment.
The opposite of segment BC is DC.
Hence, the image of BC reflecting over FC is DC.
Read more about transformations at:
https://brainly.com/question/11707700
how do I solve this?
Answer:
Step-by-step explanation:
sin(x) = (17/19)
sin inverse of (17/19) = x
x = 63.45°