The volume of water that was displaced is 0. 000019 cubic meters.
What is volume?Volume is known to be the amount of space or capacity occupied by a three-dimensional solid shape.
It is denoted in cubic units.
How to calculate the volumeThe formula for calculating volume is;
Volume = mass ÷ density
Given that mass = 3. 3 Ibs and density = 32. 5Ibs/ ft∧3
Volume = 3. 3 ÷ 32. 5 = 0. 10 Ibs
How to covert Ibs to cubic meters
Ibs = 0. 00019 m∧3 (cubic meters)
Then, 0. 10 Ibs = 0. 00019 × 0.10 ÷ 1 = 0. 000019 cubic meters.
Therefore, the volume of the water displaced is 0.000019 cubic meters.
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What is the degree of the polynomial 6x^2+x^9+5x^7+20x^6
The degree of a polynomial is the highest exponent of the algebraic expression.
[tex]6 {x}^{2} \: + \: {x}^{ \boxed{ \bold{9}}} \: + \: 5 {x}^{7} \: + \: 20 {x}^{6} [/tex]
R// The degree of the polynomial is 9MissSpanishPlease show your work! I'll give brainliest as well, thanks in advance!
The area of a circle is defined as [tex]\pi(r^{2})[/tex], where r = 4.3 here. 4.3^2 ≅ 18.49, so the area of the full circle is 18.49π.
The shaded section covers 12 degrees of the full 360 degrees in a circle, or 1/30th of the area. Therefore, the area of the shaded section is equal to [tex]\frac{18.49\pi}{30}[/tex], or about 1.936. In this question's context, that would be 1.936[tex]in^{2}[/tex].
What is true about AngleQRT? Select two options.
Measure of angleQRT = 90°
Measure of angleQRT = Measure of angleSRT
AngleQRT Is-congruent-to AngleSTQ
Measure of angleQRT = 2*Measure of angleRTQ
AngleQRT Is-congruent-to AngleRTQ
The complete question is
"Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT?
Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ"
The true about AngleQRT options are A abd B; ∠QRT = 90 and ∠QRT = ∠SRT
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
Given information;
The triangle QST is isosceles with QT ≅ ST.
The ∠STR and ∠RTQ are congruent.
Now, consider two triangles ∠QTR and ∠STR
In the following triangle
TR ≅ TR
QTR ≅ STR
QT ≅ ST
Now, according to SAS rule, two congruent triangles have congruent corresponding to their sides,
1. QR ≅ SR
2. QRT ≅ SRT
Since the above two angles are congruent so, they will have the same measure
That will be 90 degree.
Hence, The correct options are; ∠QRT = 90 and ∠QRT = ∠SRT
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The point at which three or more lines intersect is the point of _____ concurrency. concurrency. tangency. equality. parallelism.
The point at which three or more lines intersect is the point of concurrency.
What is the point where three line intersect?The point were three lines meet or intersect is a point of concurrency.
In other words, a point of concurrency is where three or more lines intersect in one place.
This point of concurrency is a single point shared by three or more lines.
Perpendicular bisectors, and altitudes are concurrent in every triangle.
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Answer:
concurrency
Step-by-step explanation:
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Lin surveyed a class of sixth-graders asking how many hours they spend online every month.
They spend about three hours a day online
Write the following phrase as an algebraic expression. Use x for the unknown number.
The sum of -8 and four times a number.
Work Shown:
x = unknown number
4x = four times the unknown number
-8+4x = sum of -8 and the previous expression
-8+4x is the same as 4x+(-8) or 4x-8
Polygon ABCD is plotted on a coordinate plane and then rotated 90° clockwise about point C to form polygon A′B′C′D′. Match each vertex of polygon A′B′C′D′ to its coordinates.
Graph of rigid functions on a coordinate plane. A quadrilateral vertices are plotted at A (4, 6), B (5, 3), C (4, 2), and D (1, 2) in quadrant 1. Interior are of quadrilateral is shaded.
The vertices of ABCD after 90 degrees clockwise rotation about point C are: A' (0,6), B' (3,7), C' (4,6) and D' (4,3)
How to match the vertices of the polygon?The image of the polygon ABCD is not given; however, the question can still be answered because the coordinates are known.
The vertices of polygon ABCD are given as:
A = (4, 6)
B = (5, 3)
C = (4, 2)
D = (1, 2)
The rule of rotation about point C is:
(x,y) = (a + b - y, x + b - a)
Where:
(a, b) = (4, 2) --- the point of rotation.
So, we have:
(x,y) = (4 + 2 - y, x + 4 - 2)
(x,y) = (6 - y, x + 2)
The above means that:
A' = (6 - 6, 4 + 2) = (0,6)
B' = (6 - 3, 5 + 2) = (3,7)
C' = (6 - 2, 4 + 2) = (4,6)
D' = (6 - 2, 1 + 2) = (4,3)
Hence, the image of the rotation and their vertices (i.e. coordinates) are:
A' = (0,6)
B' = (3,7)
C' = (4,6)
D' = (4,3)
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2. Given the following angle measurements for a triangle, find the remaining angle.
a. 53, 69
b. 105, 47
c. 90, 25
Classify the triangle by its angles and sides
A. Right scalene
B. Obtuse isosceles
C. Acute scalene
D. Right isosceles
Find out the sum by suitable arrangement.
1 + 2 + 3 + 4 + 5 + 95 + 96 + 97 + 98 + 99
1 + 2 + 3 + 4 + 5 + 95 + 96 + 97 + 98 + 99. = 500
Answer:
500
Step-by-step explanation:
rearrange the sum as
(99 + 1) + (98 + 2) + (97 + 3) + (96 + 4) + (95 + 5)
= 100 + 100 + 100 + 1000 + 100
= 5 × 100
= 500
( -16 + 12 ) ÷ ( -4 + 2 ) = What is the Answer
SOMEBODY PLEASE JUST HELP ME I DON'T KNOW
Answer:
Step-by-step explanation:
B is at (-3,-2) Multiply by 3: (-9,-6)
O is at (2,-1) Multiply by 3: (6,-3)
T is at (-3,3) Multiply by 3: (-9,9)
Hope this helps!!
if x²+y²=20 and x-y=6 how is x.y?
Answer:
xy = - 8
Step-by-step explanation:
note that
(x - y)² = x² + y² - 2xy , that is
6² = 20 - 2xy
36 = 20 - 2xy ( subtract 20 from both sides )
16 = - 2xy ( divide both sides by - 2 )
- 8 = xy
[tex](x-y)^2=x^2-2xy+y^2[/tex]
Therefore
[tex]6^2=20-2xy\\36=20-2xy\\2xy=-16\\xy=-8[/tex]
y= -x - 8x - 16 how many solutions
Answer:
1 solution
Key:
Assume x is the the range x > 0 ≥ 1, in other words, assume x is equal to 1.
Step-by-step explanation:
[tex]y = -x - 8x - 16\\= -x - 8x\\= 9x\\= 9x - 16[/tex]
if x=2, and y=-3, then xy^2 =
Answer:
36
Step-by-step explanation:
If x = 2 and y = -3...
xy^2=
(2)(-3)^2 =
-6^2 =
36
XY times 2=
(-6)(2) =
-12
Answer:
18
Step-by-step explanation:
First you must fill input the values into their variable counterparts:
xy^2 turns into: 2 * -3 ^2
Since there isn't a parenthesis around x AND y, the exponent only applies to the y value.
-3 ^2 = 9, so 2 x 9 = 18
xy^2 = 18 if x =2 and y = -3
What is 3.9443.9443, point, 944 rounded to the nearest hundredth?
Answer:
3.94
Step-by-step explanation:
3.944 rounded to nearest hundredth = 3.94 becuase the thousandth digit is <5 you do not change the hundredth
In an urn there are 6 red balls, 4
blue balls and 10 yellow balls.
What is the probability of
choosing a yellow ball?
Answer:
1/2 / 50% chance
Step-by-step explanation:
There are 10 yellow out of 20 (6 + 4 + 10 = 20) balls.
So, the probability is 10 / 20
Or, 1 / 2 (which is the same thing as 50% chance)
(chance = probability)
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Sue then eats 5 of her sweets.
Tony then eats half of his sweets.
Write the expression for the number of sweets Sue and Tony now have
Answer:
Sue : 13 - x Tony : x/2 + 9Step-by-step explanation:
Sue Tony_________________________________________________
initial number of sweets | 18 | 18
| |
Sue gives Tony x sweets | 18 - x | 18 + x
| |
Sue ,eats 5 of her sweets. and | 18 - x - 5 = | (18 + x)/2 =
Tony ,eats half of his sweets | 13 - x | 9 + x/2
7 x 3 1/4 = in fraction
Answer:
22 3/4
Step-by-step explanation:
divide 1/4 which is 0.25, then add 3 to that, then multiply it by 7 which is 22.75
then convert it back into a fraction which is 22 3/4
the sum of 6 and the product of 8 and x
Answer:
6+8x
Step-by-step explanation:
Need help with this fast
Answer:
C
Step-by-step explanation:
Formula for the volume of a cone :
Volume (cone) = 1/3πr²h
===========================================================
Given :
⇒ r = 4 units
⇒ h = 21 units
============================================================
Solving :
⇒ Volume (cone) = 1/3 × π × (4)² × 21
⇒ Volume (cone) = 16 × 7 × π
⇒ Volume (cone) = 112π units²
Answer:
[tex]\sf C. \quad 112 \pi \:units^2[/tex]
Step-by-step explanation:
[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
radius = 4 unitsheight = 21 unitsSubstituting the given values into the formula:
[tex]\implies \sf Volume=\dfrac{1}{3} \cdot \pi \cdot 4^2 \cdot 21[/tex]
[tex]\implies \sf Volume=112 \pi \:units^2[/tex]
i needs help please
Answer:
Step-by-step explanation:
What is the x-intercept of this function?
Answer:
(3,0)
Step-by-step explanation:
Mariano is standing at the top of a hill when he kicks a soccer ball up into the air. The height of the hill is h feet, and the ball is kicked with an initial velocity of v feet per second. The height of the ball above the bottom of the hill after t seconds is given by the polynomial −16t2 + vt + h. Find the height of the ball after 4 seconds if it was kicked from the top of a 25 foot tall hill at 72 feet per second.
Answer:
57 f
Step-by-step explanation:
-16t² + vt + h
-16(4 s)² + (72 f/s)(4 s) + (25 f)
-256 + 288 + 25 = 57
The perimeter of this square is 24x – 20. Which expression represents the length of a side?
6x – 5
12x – 5
4x – 4
Answer:
6x-5
Step-by-step explanation:
We have to find 2 sides added together, so we do (24x-20)/2=12x-10. (12x-10)/2=6x-5, so it is 6x-5.
Given that the quadrilateral is a parallelogram, find the values of x, y and z.
Answer:
x=9
y=4
z=4
Step-by-step explanation:
9x-13=7x+5
9x-7x=5+13
2x=18
x=18/2=9
3y=12
y=12/3=4
11z-41=5z-17
11z-5z=-17+41
6z=24
z=24/6=4
Which is the graph of 5 log (x + 3)?
Graph is in attached image.
Find the value of x and y
Answer:
x = 1
y = -3
Step-by-step explanation:
cos(pi) = -1
so many ways :
sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)
= sqrt(0.5/2 × 18/18) = sqrt(9/36)
= sqrt(1/4) = 1/2
"nicest" approach (all integers) :
3x² = sqrt(9)
3x² = 3
x² = 3/3 = 1
x = 1
2y = sqrt(36)
2y = 6
y = 6/2 = 3
one of them has to be negative (because cos(pi) = -1), so it has to be y, because 3x² cannot be negative with real numbers.
so, y = -3
-1 × 3×1²/(2×-3) = sqrt(0.5/2) = 1/2
-1 × 3/-6 = 1/2
3/6 = 1/2
1/2 = 1/2
correct
calculates the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100
The first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
How to calculate arithmetic progression?The first term of an arithmetic progression can be calculated using the following expression:
Sn = n/2 [2a + (n − 1)d]
Where;
a = first termUn = sumn = no of termsd = common ratio100 = 2 [2a + (4 - 1)4]
100 = 4a + 24
4a = 100 - 24
a = 76/4
a = 19
Therefore, the first term of an arithmetic progression of 4 terms and ratio equal to 4 whose sum is 100 is 19.
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Solve for N:
A_-21
B_21
C_-96
D_96
Step-by-step explanation:
n + 5 = -16
n = -21
The correct option is -21