Joe bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the Volume and the height, calculate the diameter of the tank using the information below. The volume of the tank is 300π 〖ft〗^3 and its height is 10ft.
Answer:
1.7ft
Step-by-step explanation:
Given data
Volume of tank= 300π 〖ft〗^3
Height of tank= 10ft
The expression for the volume of a cylinder is given as
Volume= πr^2h
Substitute
300π = π *r^2*10
300= r^2*100
3= r^2
r= √3
r= 1.7 ft
Hence the radius of the cylinder is 1.7ft
Don’t need to send the math or anything just need the answer will give brainliest!!!
Answer:
920
Hope that this helps!
please help to add this exponent:)
Question:
[tex](3.09 \times {10}^{6} ) + (5.83 \times {10}^{8} )[/tex]
Answer:
[tex]5.8609 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex](3.09 \times 10^6)+(5.83 \times 10^8)[/tex]
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
[tex]5.8609 \times {10}^{8} [/tex]
Hope it is helpful...I will give BRAINLIEST to the correct answer
Find the measure of angle 6.
Answer:
m∠6 = 116°
Step-by-step explanation:
first find x:
7x - 17 = 2x + 78
subtract 2x from both sides: 5x - 17 = 78
add 17 to both sides: 5x = 95
divide by 5: x = 19
plug x into 7x - 17
7(19) - 17 = 116
∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°
Please answer correctly to get brainliest
Answer:
Step-by-step explanation:
This is only my guess, as I haven’t done this topic in a few months
A. 398/427
0.93
B. 123/1192
0.10
C. 339/403
0.84
Six teammates are competing for first, second, and third place in a race.
How many possibilities are there for the top three positions?
20
30
120
240
Step-by-step explanation:
there Are 120 possibilities for the top three positions
We will see that there are 120 different possibilities for the top 3 positions.
How many possibilities are there for the top three positions?Here we need to count the number of options for each of the positions.
For the first position, there are 6 options (6 team members).For the second position, there are 5 options (because one is already in the first position).For the third position, there are 4 options.The total number of different combinations is given by the product between the numbers of options, we will get:
C = 6*5*4 = 120
There are 120 different possibilities for the 3 positions.
If you want to learn more about combinations, you can read:
https://brainly.com/question/11732255
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Find the surface area of a cylinder with a height of 10 inches and base diameter of 6 inches.
______ square inches
Answer:
The surface area of cylinder is 244.92 inches²
hope it helps
have a nice day
I need help with this question
v2–2v–24
Answer:
(v - 6)(v + 4)
Step-by-step explanation:
v² - 2v - 24
v² + 4v - 6v - 24
v(v + 4) - 6(v + 4)
(v - 6)(v + 4)
Question 3 (Multiple Choice Worth 1 points)
(06.05 LC)
The two-way table shows the number of students in a school who like reading and/or gardening.
Like Reading
Do Not Like Reading
Total
Like Gardening
32
?
58
Do Not Like Gardening
19
23
42
Total
51
49
100
What is the missing number in the table?
16
19
26
0
90
Answer:
26
Step-by-step explanation:
Horizontally:
Like reading = 32
Do not like reading = ?
Total = 58
Total = Like reading + Do not like reading
Do not like reading = Total - Like reading
= 58 - 32
= 26
Do not like reading = 26
Vertically:
Like gardening =
Do not like gardening = 23
Total = 49
Total = Like gardening + Do not like gardening
Like gardening = Total - Do not like gardening
= 49 - 23
= 26
Like gardening = 26
Therefore,
The missing number in the table is 26
The work in an office takes 150 hours to complete every week. Each person in the office works for 32 hours a week
1. Jennifer bought 4 1/2 pounds of hamburger for $22.50.
What was the cost per pound?
Answer:
.20$
Step-by-step explanation:
4 1/2=4.5
4.5 divided by 22.50=.20
Answer: Jennifer bought 4 1/2 pounds of hamburger for $22.50.
What was the cost per pound?
.20cents
. A man travels 13km by bus , 8km by car and y km by train . If the man has to travel a total of 30 km , find y. *
Answer:
9km
Step-by-step explanation:
30-(13+8)=9km
I hope you understand
Last year, 260 students went to the senior prom at M&T Bank Stadium. This year, the number of students who attended senior prom increased by 9%. How many students attend the senior prom at M&T Bank Stadium this year? Round you answer to the nearest whole number.
Answer:
283 people went this year to the stadium.
Step-by-step explanation:
Let's put this data into pieces so it's less overwhelming.
Last year 260 students went to the prom.
Currently the number of students who attended has increased by 9% from last year.
And the question is asking how many students attended this year?
Well, if this is increasing by 9%, wouldn't we just find 9% of 260 then add it to 260?
0.09 * 260 = 23.4
260 + 23.4 = 283.40. Obviously we can't have 40% of a human being, so let's round it to 283.
can you help me with this. Find the surface area
Answer:
2370 cm²
Step-by-step explanation:
2(32·15+15·15+15·32) = 2370
Please help I’ll give brainliest
Answer:
v = 27,000 mm³
Step-by-step explanation:
v = s³
v = 30³
v = 27,000 mm³
Find the slope of the line through the points(-4,-7) and (4,3)
Answer:
4/5
Step-by-step explanation:
The first point (-4, -7) lies in the third quadrant and the second one in the first quadrant. This tells us immediately that the slope is positive; y increases as x increases. The change in x is 4 - (-4), or 8; this is the 'run.' The change in y is 3 - (-7), or 10; this is the 'rise.'
Thus the slope of this line is m = rise/run = m = 8/10, or m = 4/5
Can someone work please so I can understand how
Answer:
[tex]\text{A. }\frac{4\sqrt{14}}{{7}}[/tex]
Step-by-step explanation:
In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Therefore, we can form a right triangle with non-right angle [tex]\theta[/tex] and its opposite side [tex]\sqrt{7}[/tex] and its adjacent side [tex]5[/tex].
By definition, [tex]\csc \theta=\frac{1}{\sin\theta}[/tex].
In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle. To find the hypotenuse, use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side, of the right triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.
Solving, we get:
[tex]5^2+\sqrt{7}^2=c^2,\\25+7=c^2,\\c^2=32,\\c=\sqrt{32}=4\sqrt{2}[/tex]
Therefore, we have:
[tex]\csc \theta = \frac{1}{\sin \theta}=\frac{1}{\frac{\sqrt{7}}{4\sqrt{2}}},\\\\\csc \theta=1\cdot \frac{4\sqrt{2}}{\sqrt{7}},\\\\\csc \theta =\frac{4\sqrt{2}}{\sqrt{7}}\cdot \frac{\sqrt{7}}{\sqrt{7}}=\boxed{\text{A. }\frac{4\sqrt{14}}{{7}}}[/tex]
Answer: Choice A) [tex]\frac{4\sqrt{14}}{7}[/tex]
======================================================
Explanation:
Refer to the figure below. We start off drawing a right triangle that has opposite side sqrt(7) and adjacent side 5.
This is because tan = opposite/adjacent.
Use the pythagorean theorem to find the hypotenuse is sqrt(32) which simplifies like so
sqrt(32) = sqrt(16*2) = sqrt(16)*sqrt(2) = 4*sqrt(2)
The last thing to do is to take the ratio of the hypotenuse over the opposite side. Recall that csc, aka cosecant, is the reciprocal of sine.
sin = opposite/hypotenuse
csc = hypotenuse/opposite
---------
So we get the following
[tex]\csc{\theta} = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc{\theta} = \frac{4\sqrt{2}}{\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2}*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2*7}}{\sqrt{7*7}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{\sqrt{49}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{7}\\\\[/tex]
So that's why the answer is choice A.
find the value of x, y, v and w
Now,
x + 35° = 180° ( Co - interior angle )
◆ x = 145°
Then,
◆ y = x = 145° ( Vertically Opposite angle )
Again,
v + 43° = 180° ( Co - interior angle )
◆ v = 137°
Then,
v + w = 180° (Co - interior angle )
137° + w = 180°
w = 180° - 137°
◆ w = 43°
I hope it's help you...
Mark me as brainliest...
which system of equations has infinitely many solutions?
a. 4x+2y=5 -4x-2y=1
b. -10x+y=4 10x-y=4
c. -8x+y=2 8x-y=0
d. -x+2y=6 7x-2y=12
Answer:
None, each of the four given system of equations have only one solution
Step-by-step explanation:
A system of equations have infinitely many solutions, when the equations represent the same line and therefore, the two equations are the same;
Each of the options are examined as follows;
a. 4·x + 2·y = 5...(1)
-4·x - 2·y = 1...(2)
Expressing both equations with y as the subject, we have;
The value of y in equation (1) is given as follows;
4·x + 2·y = 5
2·y = 5 - 4·x
∴ y = 5/2 - 2·x
The value of y in equation (2) is given as follows;
-4·x - 2·y = 1
-2·y = 1 + 4·x
∴ y = -1/2 - 2·x
Therefore, equation (1) and equation (2) represent the same equation and are therefore equal and have only one solution
b. -10·x + y = 4...(1)
10·x - y = 4...(2)
Therefore, we have;
Adding equation (1) to equation (2) gives;
-10·x + 10·x + y - y = 4 + 4
0 + 0 = 8
0 = 8
Given that 0 ≠ 8, equation (1) is not equal to equation (2) and the two equations have only one solution
c. -8·x + y = 2...(1)
8·x - y = 0...(2)
By examination, the values on the left hand side, LHS, of both equations are the same magnitude but opposite in sign, while the right hand side, RHS, of both equations, have different magnitude
Therefore, the two equations are different and have only one solution
d. -x + 2·y = 6...(1)
7·x - 2·y = 12...(2)
Making y the subject of both equations gives;
Equation (1)
2·y = 6 + x
y = 3 + x/2
Equation (2)
2·y = 12 - 7·x
y = 6 - 3.5·x
Therefore, the two equations are different and have only one solution
Answer:
B
Step-by-step explanation:
I'm guessing the answer is B. I know why the other person said all of them only have one solution. But, On b You wrote -10x+y=4 10x-y=4
When really it was supposed to be -10x+y=4 10x-y=-4
A farmhouse shelters 10 animals. Some are pigs and some are chickens. Altogether there are 30 legs. How many of each animal are there? PLSS HELP!!
Answer:
theres 5 pigs and 5 chickens
Step-by-step explanation:
5 pigs 4 legs 5x4=20
5 chickens and 2 legs 5x2=10
20+10=30
Use long division to find the quotient below.
(8x) + 20x2 + 36) divide (2x+6)
A. 4x2 - 6x+6
B. 8x2 - 8x+6
C. 4x2 - 2x+6
D. 8x2 - 4x + 6
Given:
[tex]8x^3+20x^2+36[/tex] divided by [tex](2x+6)[/tex].
To find:
The quotient by using long division method.
Solution:
We have,
Dividend = [tex]8x^3+20x^2+36[/tex]
Divisor = [tex](2x+6)[/tex]
Using long division method we get
[tex]\underline{2x+6}|\overline{8x^3+20x^2+0x+36}|\underline{4x^2-2x+6}[/tex]
[tex]\underline{8x^3+24x^2}[/tex]
[tex]-4x^2+0x[/tex] (After subtraction)
[tex]\underline{-4x^2-12x}[/tex]
[tex]12x+36[/tex] (After subtraction)
[tex]\underline{12x+36}[/tex]
[tex]\underline{\quad 0\quad }[/tex] (After subtraction)
The quotient is [tex]4x^2-2x+6[/tex].
Therefore, the correct option is C.
John has 12 tissues, but they caught on fire, because his older brothers a pyromaniac.
So John has to eat his boogers. He has to do it precisely, without accidentally scratching his nose and bleeding, so he has to go slow.
How long does it take for him to eat his boogers? Sometimes, he has a friend join him, and they eat their own boogers in each others presence. How long would that take?
A. 12 minutes.
B. 20 Minutes for each person.
C. An Hour.
D All day.
Answer:
Dude wt,f? The answer is B. Obviously.
Step-by-step explanation:
COMMON SENSE
Please help!!! I don’t know how to do this
Answer:
O C. x = 3
Step-by-step explanation:
If a line is parallel to y-axis, the equation of the line is x = constant because it is at a constant distance from y-axis. so for the given question, x = 3 is the equation of the line passing through (3,2).
Question 4 of 10 Based only on the information given in the diagram, it is guaranteed that A ABC - AXYZ. 3 Y Z O A. True B. False
Answer: True
Step-by-step explanation:
We know in every triangle all the angles add up to 180 so for triangle ABC if you add the 52 to the 90 you’ll find the answer to be 142 if you subtract this then from 180 you’ll find 38 to be your answer
Therefore if you add the 38 the 52 and the 90 you’ll get 180
Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ. Option A is correct.
What are the conditions of the congruent triangle?Triangles that are equivalent in terms of size and form are known as congruent triangles.
It is certain that XYZ gave simply the facts in the diagram, traingle ABC, and XYZ is similar. It is true that triangles XYZ and ABC are similar.
The angle of triangles ABC and XYZ is;
∠A= 180° -(90+52) = 38°
∠B= 90°
∠C=38°
∠X=38°
∠Y=90°
∠Z=180° -(90+38°) = 52°
∠B =∠Y=90°
Based only on the information given in the diagram, it is guaranteed that Δ ABC ≅ Δ XYZ. It is true that Δ ABC ≅ Δ XYZ.
Hence, option A is correct.
To learn more about the congruent triangle refer;
https://brainly.com/question/12413243
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Express 120 as the product of its prime factors.
Write the prime factors in ascending order.
Answer:
2 x 2 x 2 x 3 x 5
Step-by-step explanation:
The first and smallest prime number that can be divisible by 120 is 2; 120/2 = 60, 60/2 = 30, 30/2 = 15; and the smallest prime number divisible by 15 is 3; 15/3 = 5; and the smallest prime number divisible by 5 is 5; 5/5 = 1.
hence, we have 2 x 2 x 2 x 3 x 5 = 2³ x 3 x 5
Please help me I’ll mark as brainliest.
Answer:
Step-by-step explanation:
6x² + 108x + 707 = 5
Subtract 707 from both sides
6x² + 108x = 5 - 707
6x² + 108x = - 705
Divide the whole equation by 6
[tex]\frac{6x^{2}}{6}+\frac{108x}{6}= \frac{-702}{6}\\\\x^{2}+ 18x = - 117\\[/tex]
Divide 18 by 2 = 9
Add 9² to both sides
x² + 18x + 9² = -117 + 9²
x² + 18x + 81 = -117 + 81
(x + 9)² = - 36
Answer:
(x + 9)^2 = -36
Step-by-step explanation:
6x^2 + 108x + 707 = 5
6x^2 + 108x = -702
x^2 + 18x = -117
x^2 + 18x + (18/2)^2 = -117 + (18/2)^2
x^2 + 18x + 81 = -117 + 81
(x + 9)^2 = -36
Juice is sold in two different sizes. An 18 gl oz bottle costs $1.10. A 36 gl oz bottle costs 2.75. Which is better to buy?
Answer:
The 18 ounce bottle costs less per ounce and is the better buy
Step-by-step explanation:
First find the cost per ounce for the 18 ounce bottle
1.10 / 18 =.0611111 per ounce
Then find the cost per ounce for the 38 ounce bottle
2.75 / 36 =.076388888
The 18 ounce bottle costs less per ounce
María compra mercancía por valor $2.000.000 la cual tiene una utilidad estimada del 25%, ella desea saber el valor que ganara al vender toda su mercancía ¿Cuál sera el valor que corresponde a las ganancias de maría?
Answer:
Maria buys merchandise worth $ 2,000,000 which has an estimated profit of 25%, she wants to know the value that she will earn by selling all her merchandise. What will be the value that corresponds to Maria's earnings?
Step-by-step explanation:
2,500,000 $ worth of merchandise
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.8%. How much interest will the customer earn in 10 years? b. What will the account balance be after 10 years?
Answer: See explanation
Step-by-step explanation:
The Simple Interest will be calculated as:
= P × R × T
= $3000 × 1.8% × 10.
= $3000 × 0.018 × 10
= $540
The interest that the customer earn in 10 years is $540.
Then, the account balance after 10 years will be:
= Principal + Interest
= $3000 + $540
= $3540
Therefore, the account balance will be $3540
For the graph of the inequality x - 2y >4, what is a value of x for a point that is on the
boundary line and the axes?
0-2
04
-4
O2
Answer:
Step-by-step explanation:
Explanation:
First, find two points on the line if you change the inequality to an equation.
For
x
=
0
:
0
+
2
y
=
4
2
y
=
4
2
y
2
=
4
2
y
=
2
or
(
0
,
2
)
For
y
=
0
:
x
+
0
=
4
x
=
4
or
(
4
,
0
)
We can plot these two points and draw a line through them to get the border of the inequality:
graph{(x^2+(y-2)^2-0.075)((x-4)^2+y^2-0.075)(x+2y-4)=0}
The line will be solid because the inequality operator has a "or equal to" clause in it. We can now shade the area to the right of the line because the inequality has a "great than" clause in it.
graph{(x+2y-4)>=0}