Answer:
3014.4ft³
Step-by-step explanation:
V=Πr²h(volume of cylinder)
=(3.14)(8)²(15)
=3014.4ft³
Is the following shape a rectangle
Answer:
c
Step-by-step explanation:
no because the adjacent sides are not perpendicular.
Tony rounded each of the numbers 1,600 and 1,483 to the nearest thousand. Which choice correctly compares the rounded numbers
Answer:
Step-by-step explanation:
if the number is below 5, go down
if the number is 5 or above, go up
1,600 is closer to 2,000
1,483 is closer to 1,000
Then, 2000 > 1000
Answer:
Brainliest!
Step-by-step explanation:
1600 rounded is 2000
1483 rounded is 1000
What is the perimeter?
Answer:
91+c
Step-by-step explanation:
The equation to find the perimeter of the triagle is every side added together. We know 2 sides which means we add them to get 91. Then we know we don't know the next number but we add it so we just put the c where the next number to be added would go.
Help please I WILL MARK BRAINLIEST
Answer:
SAS
Step-by-step explanation:
DB and BD are equal
The angles near D are equal
AD and DC are equal
Side Angle Side
please help for brainliest answer
Answer:
3360 cm^2
Step-by-step explanation:
24 times 14 times 10 = 3360
What is the value of x in the equation 1x - y = 30, when y= 15?
Replace y with 15
The equation is now:
1x - 15 = 30
Add 15 to both sides:
1x = 45
Divide both sides by 1
X = 45
Answer: X = 45
Step-by-step explanation:
1x - 15 = 30
add 15 to both sides
1x = 30 + 15
1x = 45
then you have to seperate the 1 from the x, so divide 1 from both sides
45 divided by 1 = 45
so the answer is x = 45
Please help me and explain your answer
Thank you!
Answer:
The bottom right
Step-by-step explanation:
switch the x and y and solve for y again
ill mark you brainiest , please help!!!
a boat measures 40m long and 10m wide.
a scale model of the boat measures 50cm long.
what is the scale factor of the model?
Step-by-step explanation:
50cm/40m = 0.5m/40m = 0.0125 = 1/80
50 POINTS ANYONE THAT HELPS
Solve the inequality 171 > -6x, and graph the solution. What does the graph look like? an open circle at –28.5 and an arrow pointing right an open circle at –28.5 and an arrow pointing left an open circle at 28.5 and an arrow pointing right an open circle at 28.5 and an arrow pointing left
Answer:
see below
Step-by-step explanation:
When we simplify we get x > -28.5 (since dividing an inequality by a negative number flips the sign). Therefore its graph would be an open circle at –28.5 and an arrow pointing right.
Answer:
A
Explanation:
It is easy (Not trying to be mean)
If 8=−3r+7r, then r= [blank] −−−−−−.
Answer:
[tex]r = 2[/tex]
Step-by-step explanation:
[tex]8 = - 3r + 7r \\ 8 = 4r \\ 4r = 8 \\ \\ r = \frac{8}{4} \\ \\ r = 2[/tex]
PLEASE HELP ME. Really need help
Find the features of the line 4y-3x = 108.
find:
x intercept
y-intercept
x intercept(y=0)
4y-3x=108
4×0-3x=108
-3x=108
x=108/-3
x=-36
y intercept(x=0)
4y-3×0=108
4y=108
y=108/4
y=27
part 1. Find the missing sides for the 30-60-90 Triangles. Please show work
1. cos(30) = a/16
a = 16 x cos(30)
a = 8√3
sin(30) = c/16
c = 16 x sin(30)
c = 8
2. cos(30) = d/28
d = 28 x cos(30)
d = 14√3
sin(30) = f/28
f = 28 x sin(30)
f = 14
3. sin(30) = x/62
x = 62 x sin(30)
x = 31
cos(30) = y/62
y = 62 x cos(30)
y = 31√3
Answer:
1. (a, c) = (8, 8√3)
2. (d, f) = (14, 14√3)
3. (x, y) = (31, 31√3)
Step-by-step explanation:
Side lengths in a 30°-60°-90° triangle have the ratios 1 : √3 : 2. You can multiply these ratio values by an appropriate constant to make them match the lengths in your triangle.
__
1. a : c : 16 = 1 : √3 : 2
Multiply by 16/2 = 8:
= 8 : 8√3 : 16
a = 8, c = 8√3
__
2. d : f : 28 = 1 : √3 : 2
Multiply by 28/2 = 14:
= 14 : 14√3 : 28
d = 14, f = 14√3
__
3. x : y : 62 = 1 : √3 : 2
Multiply by 62/2 = 31:
= 31 : 31√3 : 62
x = 31, y = 31√3
A boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and 55 km down-stream. Determine the speed of the stream and that of the boat in still water.
Answer:
Average speed of boat = 3.67 km/h
Average speed of stream = 0.63 km/h
Step-by-step explanation:
30 km upstream in 10 hours gives a speed of 30/10 = 3 km/h relative speed of boat and stream
Same way, 44 km in 10 hrs = 4.4 km/h relative speed of boat and stream.
Let the speed of the stream be y
Let the speed of both be x, then
x - y = 3.... (1)
x + y = 4.4.... (2)
Subtract 1 from 2
2y = 1.4
y = 1.4/2 = 0.7 km/h
substitute value of y in 1
x - 0.7 = 3
x = 3.7 km/h
Also, 40 km upstream in 13 hrs gives speed of 3.08 km/h
55 km in 13 hrs gives 4.2 km/h
Let speed of boat be x and that of stream be y
x - y = 3.08.... (1)
x + y = 4.2..... (2)
Subtract 1 from 2
2y = 1. 12
y = 0.56 km/h
Substitute value of y in 1
x - 0.56 = 3.08
x = 3.64 km/h
Average speed of boat = (3.7 + 3.64)/2
= 3.67 km/h.
Average speed of stream = (0.7 + 0.56)/2 = 0.63 km/h
Answer:
Let the speed of boat in stream be x km/hrAnd the speed of boat in still water be y km/hr.For upstream = x - yFor downstream = x + yAs we know that,
[tex]\bigstar \: \: \sf Time = \dfrac{Distance}{Speed} \\ \\ [/tex]
[tex]\bigstar\:\underline{\boldsymbol{According\: to \:the\: Question\:now :}} \\[tex]
[tex]:\implies \sf \dfrac{30}{x - y} + \dfrac{44}{x + y} = 10 \\ \\ \\ [/tex]
[tex]:\implies \sf \dfrac{40}{x - y} + \dfrac{55}{x + y} = 13 \\ \\ \\[/tex]
[tex]\sf Let \: \dfrac{1}{x - y} = \textsf{\textbf{m}} \sf \: \: and \: \: \sf{\dfrac{1}{x + y} = \textsf{\textbf{n} }}\\ \\ \\[/tex]
[tex]:\implies \sf 30m + 44n = 10\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (i)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]:\implies \sf 40m + 55n = 13\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (ii)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]\qquad\tiny \underline{\frak{ Multiply \: equation \: (ii) \: by \: 3 \: and \: equation \: (i) \: by \: 4 :}} \\[/tex]
[tex]:\implies \sf 120m + 176n = 40\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (iii)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]:\implies \sf 120m + 165n = 39\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (iv)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]\qquad\tiny \underline{\frak{ Substracting \: equation \: (iii) \: from \: equation \: (iv) \: we \: get :}} \\[/tex]
[tex]\sf 120m + 176n = 40 \\ \\
\sf 120m + 165n = 39 \\ \\ [/tex]
[tex]\sf \: \: ( - ) \:\:\: \: \: ( - ) \: \: \: \: \: \: \: ( - ) [/tex]
_____________________
[tex]\: \: \: \: \qquad\sf 11n= 1 \\[/tex]
[tex]\: \: \: \: \: \qquad\sf n= \dfrac{1}{11} \\ \\ [/tex]
[tex]\qquad\tiny {\frak{ Put\: n = \dfrac{1}{11}\:in\:equation \: (i) \: we \: get :}} \\[/tex]
[tex]\dashrightarrow\:\:\sf 30m + 44 \times \dfrac{1}{11} = 10 \\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 30m= 10 - 4 \\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 30m= 6 \\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf m= \dfrac{6}{30} \\ \\ \\ [/tex]
[tex]\dashrightarrow\:\:\sf m= \dfrac{1}{5} \\ \\ \\[/tex]
____________________....[tex]\dashrightarrow\:\:\sf \dfrac{1}{x - y} = m\\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf x - y= 5\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (v)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf \dfrac{1}{x + y} = n\\ \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf x + y= 11\: \: \: \: \Bigg\lgroup \textsf{\textbf{Equation (vi)}}\Bigg\rgroup \\ \\ \\[/tex]
[tex]\qquad\tiny {\frak{Adding\:equation \: (v) \: and \: equation \: (vi) \: we \: get :}} \\[/tex]
[tex]:\implies \sf 2x = 16 \\ \\ \\[/tex]
[tex]:\implies \underline{ \boxed{ \textsf {\textbf{x = 8 km/hr}}}} \\ \\[/tex]
[tex]\qquad\tiny {\frak{Putting\:x = 8\: in \: equation \: (v) \: we \: get :}} \\[/tex]
[tex]:\implies \sf 8 - y = 5 \\ \\ \\ [/tex]
[tex]:\implies \sf y = 8 - 5 \\ \\ \\[/tex]
[tex]:\implies \underline{ \boxed{ \textsf {\textbf{y = 3 km/hr}}}} \\ \\[/tex]
_________________....[tex]\bigstar\:\underline{\sf{Therefore\: speed\: of \:boat\: in\: still \:water\: and\: speed\: of\: stream:}} \\[/tex]
[tex]\bullet\:\:\textsf{Speed of boat in stream = \textbf{8 km/hr}}\\[/tex]
[tex]\bullet\:\:\textsf{Speed of boat in still water = \textbf{3 km/hr}}\\[/tex]
What is the nth term in the sequence: 15, 22, 31, 42, 55
Find the slope of the line that passes through (2, 12) and (5, 10).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
The right answer is -2/3
please see the attached picture for full solution
Hope it helps..
Good luck on your assignment..
Answer:
-2/3
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
(10-12)/(5-2) = -2/3
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
The sum is a trinomial with a degree of 5.
The sum is a trinomial with a degree of 6.
The sum is a binomial with a degree of 5.
The sum is a binomial with a degree of 6.
Answer:
The sum is a binomial with a degree of 6
Step-by-step explanation:
we have
(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)
Group terms that contain the same variable
(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y
0-2xy^{5}+3x^{4}y
-2xy^{5}+3x^{4}y
The sum is a binomial ( two terms) with a degree of 6
-2xy^{5} has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)
Answer:
D. The sum is a binomial with a degree of 6
Step-by-step explanation:
3. If angles R and S are complementary, which statement about the two angles is true?
mZR = 45° and mzs = 45°.
ZR and ZS form a right angle.
O ZR and 2S are both acute.
LR and ZS are adjacent.
Answer: ZR and ZS form a right angle
Step-by-step explanation:
Complementary angles are angles whose sum = 90ᴼ
If R and S are complementary, then their angle measures add to equal 90ᴼ
A right angle = 90ᴼ
ZR and ZS form a right angle.
What is complementary angle?When the sum of two angles is equal to 90 degrees, they are called complementary angles.
What is right angle?When two straight lines intersect each other at 90˚ or are perpendicular to each other at the intersection, they form the right angle.
According to the given question.
Angles R and S are complementary angles.
Since, R and S are complementary angles. then their angle measured add to equal to 90 degrees or right angle.
Therefore,
The ZR and ZS form a right angle.
Hence, option second is correct.
Find out more information about complementary angles and right angle here:
https://brainly.com/question/5708372
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The figure shows five points. A point has been translated right and up.
Based on the graph, which statements about the points could be true? Check all that apply.
1. Point D could be the image of B.
2. Point C could be the image of A.
3. Point E could be the image of C.
4. Point D could be the image of A.
5. Point E could be the image of B.
6. Point C could be the image of E.
Moving to the right and up, the only two points that could be placed in another point would be C or B
The answer would be 6. point C could be the image of E
Answer:
im confident the answer is A C E
Step-by-step explanation:
The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form. An algebra tile configuration. Only the Product spot is shown. 9 tiles are in the Product spot: 1 + x squared, 2 negative x, 6 negative. What is this function written in vertex form? f(x) = (x –1)2 – 7 f(x) = (x +1)2 – 7 f(x) = (x –1)2 – 5 f(x) = (x +1)2 – 5
Answer: A on Edge
Step-by-step explanation:
f(x) = (x –1)2 – 7
Answer:
A
Step-by-step explanation:
If a number is increased by 12 and then divided by 4, the result is 5. The algebraic equation is ?. The number is x= ?
Answer:
I don't have an answer but I have a helpful example.
If a number is increased by 8, the result is 25 Find the number.
Step-by-step explanation:
Let x be the number. Increasing x by 8 gives x + 8, which we are told is 25. Therefore, x + 8 = 25. Subtract 8 from both sides to find x = 17. So, the number is 17.
Help help help help please please
Answer:
The answer is 10⁴ × 4⁵.
Step-by-step explanation:
First, you can seperate the fraction :
[tex] \frac{ {10}^{4} \times {4}^{10} }{ {4}^{5} } [/tex]
[tex] = {10}^{4} \times \frac{ {4}^{10} }{ {4}^{5} } [/tex]
Next, you have to apply Indices law :
[tex] {a}^{m} \div {a}^{n} = {a}^{m - n} [/tex]
So for this question :
[tex] {10}^{4} \times \frac{ {4}^{10} }{ {4}^{5} } [/tex]
[tex] = {10}^{4} \times {4}^{10 - 5} [/tex]
[tex] = {10}^{4} \times {4}^{5} [/tex]
i need help one more time !!
Answer:t=8
Step-by-step explanation:
solve for t by simplifying both sides of the equation,then isolating the variable
Answer:
[tex]t = 8[/tex]
Step-by-step explanation:
→You need to get "t," by itself, and to do this, you must multiply both sides by the reciprocal of [tex]\frac{1}{4}[/tex], which is 4. You are multiplying because you can't divide by a fraction.
[tex]\frac{1}{4} t=2[/tex]
[tex]4*\frac{1}{4} t=2*4[/tex]
[tex]t = 8[/tex]
The first equation from the previous system of
equations is graphed. Graph the second equation to
find the solution of the system of equations.
y = -2x + 4,
y=-x-1
What is the solution to the system?
Answer: x = 5 and y=-6
Step-by-step explanation:
If we graph both equations, the interception is the point (5,-6). Therefore the solution for x is 5 and for y is -6.
Which of the following reasons can be used to justify statement #3 in the proof?
A Given
B the vertical angel theorem
C the reflexive property of congruence
D SSS
c because it is accuet.
hope it helps
Option C . The reflexive property of congruence is the correct reason that can justify statement 3 . BD≅BD
What is the reflexive property of congruence?The reflexive property of congruence states that every side, every angle, every line segment and every shape is congruent to itself.
To prove that ΔABD is congruent to ΔCBD where given that
1.Line segment AB ≅ Line segment CB (Given)
2. Then we can write AD ≅CD ; Given : D is the mid point of AC
3. line segment BD ≅ Line segment BD , this is true by reflexive property of congruence which states that every line segment or side is congruent to itself.
BD can be considered as side of both the given triangles
Therefore, the reason that can justify statement 3 is option C.
Also, Learn more about the properties of congruence from the link below:
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The graph of a linear function is shown
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
the answer is b
Step-by-step explanation:
plz give me a Brainliest
A word that describes the slope of the line is negative. The correct answer is option B.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
For this case the first thing you should know is that we have an equation of the form:
y = mx + b
Where,
m: The slope of the line
b: Cutting point with the vertical axis.
For this case, we observe that the values of y decrease when the values of x increase. Therefore, the function decreases.
This means that it is true that:
m < 0
Therefore, the slope of the line is negative.
To know more about graphs follow
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Can anybody help me.
Answer:
1st one
Step-by-step explanation:
Which expression is equivalent to 243 ?
1
23
23/3
216
23/6
Answer:
B.
Step-by-step explanation:
[tex]24^{\frac{1}{3} }[/tex]
=> [tex](2*2*2*3)^{\frac{1}{3} }[/tex]
=> [tex](2^3*3)^{\frac{1}{3} }[/tex]
=> [tex]2\sqrt[3]{3}[/tex]
Find the upper bonds for the following lengths : a) 40cm measured to the nearest cm
B)82.8cm measured to the nearest tenth of a cm
Answer: a= 40.5 b= 82.85
Step-by-step explanation:
Find the side of to cube
whose volume is
5.832cm3
Answer:
[tex]1.8cm[/tex]
Step-by-step explanation:
Use the volume of cube formula.
[tex]\displaystyle V=s^3[/tex]
[tex]\displaystyle5.832=s^3[/tex]
[tex]\displaystyle\sqrt[3]{5.832} =s[/tex]
[tex]\displaystyle s=1.8[/tex]
Answer:
a= 1.8 cm
Step-by-step explanation:
V= a³
a= ∛Va= ∛5.832a= 1.8 cmWhat’s the equation to (–5, –2), (–5, 7) ?
Answer:
x=-5
Step-by-step explanation:
Since the y value goes from -2 to -7 while the x value stays constant, no matter what y value you plug in x will be -5. Therefore, the equation of this line is x=-5. Hope this helps!