Answer:
36,811 cubic feet.
Step-by-step explanation:
Volume = 1/2 volume of a sphere
= 1/2 * 4/3 π r^3
= 2/3 * π r^3
R = 26 so
Volume of the tank = 2/3 * π 26^3
= 36811.09 feet^3.
The volume of the tank in cubic feet approximate is 36,811 cubic feet.
What is the volume of sphere?If the given sphere is of radius r units, then its volume is given as:
[tex]V= \dfrac{4}{3} \pi r^3 \: \rm unit^3[/tex]
We are given water storage tank is in the shape of a hemisphere (half a sphere). If the radius is 26 ft.
Therefore,
Volume = 1/2 volume of a sphere
= 1/2 * 4/3 π r^3
= 2/3 * π r^3
R = 26
Therefore, Volume of the tank = 2/3 π 26^3
= 36811.09 feet^3.
Learn more about volume of a sphere here:
https://brainly.com/question/381274
#SPJ3
Elissa has taken up skateboarding and with the help of friends is building a ramp in her driveway. The angle of inclination is going to be 15degrees with the maximum height of four feet how long is the ramp going to be to the nearest tenth of a foot
Answer:
[tex]l \approx 15.455\,ft[/tex]
Step-by-step explanation:
The length of the ramp is computed with the help of the following trigonometric function:
[tex]\sin \theta = \frac{h}{l}[/tex]
[tex]l = \frac{h}{\sin \theta}[/tex]
[tex]l = \frac{4\,ft}{\sin 15^{\circ}}[/tex]
[tex]l \approx 15.455\,ft[/tex]
What is the volume of a cone with a diameter of 30 feet and a height of 60 feet use 3.14 for pie
Answer:
14,130 feet³
Step-by-step explanation:
2r=d
2r=30
r=15
Formula for the volume of a cone is: [tex]\frac{1}{3} *b*h[/tex]
[tex]\frac{1}{3} *[/tex]π[tex]*r[/tex]²[tex]*h[/tex]=
[tex]\frac{1}{3} *3.14*15^{2} *60=\\[/tex]
[tex]\frac{1}{3} *3.14*225*60=[/tex]
[tex]\frac{1}{3} *3.14*13,500=\\[/tex]
[tex]\frac{13,500}{3} *3.14=\\[/tex]
[tex]4500*3.14=[/tex]
14,130 feet³
Can a triangle have sides of lengths 9,17,15? Show why or why not.
Answer:
A triangle has 3 sides: a, b, c satisfying inequalities below:
=> a + b > c > |a - b|
=> b + c > a > |b - c|
=> c + a > b > |c - a|
9, 15, 17 satisfy the inequalities above (you can check it easily).
Hope this helps!
:)
appreciate anyone help :)
Answer:
a) t=5
5+5+5=15
b) x=11
11-8=3
or you can add 3 to both sides and x=11
c) w=3
7(3) = 21
21+3=24
or subtract 3 from both sides to get 7w=21
then divide by 7 on both sides to get w=3
Answer:
a) t = 5
b) x= 5
c) w= 3
Find the mean, median, mode, and range for the following values.
Option 1
Weekly earnings in dollars: 245, 250, 205, 240, 250, 275, 260, 295, 255, 225, 250
Option 1
Answer:
Mean - 250, Median - 250, Mode - 250, range - 90
Step-by-step explanation:
Answer:
mean: 250
mode: 250
median:250
range:90
Step-by-step explanation:
mean add everything and then divide
mode there are 3 250s making it the mode
median that is the middle
range 295-205=90
Amy paid $68.68 for a pair of running shoes during a 35 %-off sale. What was the regular price?
Answer:
original price = 105.66
Step-by-step explanation:
35% off means she pays 100-35 = 65%
original price * 65% = 68.68
Change to decimal form
original price *.65 = 68.68
Divide each side by .65
original price *.65/.65 = 68.68/ .65
original price = 105.66
The angle measurement in the diagram are represented by the following expressions
Answer:
As shown in picture:
angle A = angle B
or
8x + 6 = 4x + 38
=> 4x = 32
=> x = 8
=> B = 4*x + 38 = 4*8 + 38 = 32 + 38 = 70 deg
Answer:
[tex]B = 70 \: \: degrees[/tex]
Step-by-step explanation:
[tex]8x + 6 = 4x + 38 \\8 x - 4x = 38 - 6 \\ 4x = 32 \\ \frac{4x}{4} = \frac{32}{4} \\ x = 8[/tex]
B = 4x+38[tex]4x + 38 \\ 4 \times 8 + 38 \\ 32 + 38 \\ = 70 \: \: degrees[/tex]
What is -6:
-The coefficient
-The variable
-The constant
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
Answer:b
Step-by-step explanation:gbtggrtbttt
Answer: The answer is 580
Step-by-step explanation: you first do the front side which is 20 x 10 which is 200. You multiply 200 by 2 since the front and back are the same.
then you move on to the sides.
the bottom of the side is 3. The height is 20. 3 x 20 is 60. Since there are 2 sides, you will do 60 x 2 which is 120.
now we move on too the top. The width of width is 3. and the length is 10. 10 x 3 is 30. Since the bottom is also the same, you do 30 x 2. You add all the numbers.
So 400 (from the front and back) + 120 (from the sides) + 60 ( from the top and bottom)
thiss all equals 580. sorry if it is a bit confusing I just understood it too. I am 14 trying to get math a year above me.
Find the value of a°
Answer:
If two vectors are parallel, applying the same side interior angles theorem:
=> 80 + a + 59 = 180
=> a = 180 - 80 - 59 = 41 deg
Hope this helps!
:)
What is the slope of the line given by the equation y = -2x?
Answer: -2
Step-by-step explanation: This equation is written in y = mx + b form.
The slope is the multiplier or the coefficient of
the x-term whcih in this case is -2/
Answer:
-2
Step-by-step explanation:
slope is number next to x in equation y = mx + b
PLEASE ANSWER QUICKLY I WILL GIVE BRAINLIEST
Based on the box-and-whisker plot shown below, match each term with the correct value.
I need this:
Median:
Range:
25th Percentile:
75th Percentile:
Inter-quartile Range:
Answer:
Median: 11
Range: 12
25% percentile: 9
75% percentile: 14
IQR: 5
Step-by-step explanation:
Least: 7
Q1: 9
Q2: 11
Q3: 14
Max: 19
Median: 11
Range: 19 - 7 = 12
25% percentile: 9
75% percentile: 14
IQR: 14 - 9 = 5
Step-by-step explanation:
Step 1: Find the median
The median on the box-and-whisker plot is the line that is inside of the box. On this plot, the median is 11 since it is where the line is.
Step 2: Find the range
The range on a box-and-whisker plot is the difference from the largest point and the smallest point. On this plot, the largest point is 19 and the smallest point is 7. So, subtract 7 from 19 and you get that the range is 12.
Step 3: Find the 25th percentile
The 25th percentile on a box-and-whisker plot is the left side of the box object. On this plot, the 25th percentile is 9.
Step 4: Find the 75th percentile
The 75th percentile on a box-and-whisker plot is the right side of the box object. On this plot, the 75th percentile is 14.
Step 5: Find the inter-quartile range
The inter-quartile range on a box-and-whisker plot is the difference between the 75th percentile or right side of the box and the 25th percentile or the left side of the box. On this plot, the 75th percentile is 14 and the 25th percentile is 9. So, subtract 9 from 14 and you get that the inter-quartile range is 5.
can some one help me plz with step by step
x^2 - 12x + 35
Answer:
(x + 3)(5x + 2)
Step-by-step explanation:
[tex] {x}^{2} - 12x + 35 \\ {x}^{2} - 7x - 5x + 35 \\ = x(x - 7) - 5(x - 7) \\ = (x - 7)(x - 5)[/tex]
if a square+ b square+ c square=90, a+b+c=20 find the value of ab+bc+ca
Answer: ab + bc + ac = 155
Step-by-step explanation:
Given: a² + b² + c² = 90 and a + b + c = 20
Square the second equation, subtract it from the first equation, then simplify.
Square the second equation:
(a + b + c)² = 20²
a² + b² + c² + 2ab + 2bc + 2ac = 400
Subtract the equations:
a² + b² + c² + 2ab + 2bc + 2ac = 400
- (a² + b² + c² = 90)
2ab + 2bc + 2ac = 310
Simplify:
2(ab + bc + ac) = 310
÷2 ÷2
ab + bc + ac = 155
The price of a washing machine was decreased by 20% to £640.
What was the price before the decrease?
Answer:
£800
Step-by-step explanation:
For this question we need to utilise decimal multiplier. Since this is a decrease question to work out the decimal multiplier you have take 100 away from the percentage and then divide by 100. If this was an increase question then we would had to add 100 to the percentage and then divide by 100. Since the question is asking for the price before the decrease we are going to have to divide the multiplier by the price so,
⇒ Work out the multiplier by taking 100 away from the percentage and then dividing by 100
→ 100 - 20 = 80 ↔ 80 ÷ 100 = 0.8
⇒ The multiplier is 0.8, now we have to divide the multiplier by the price
→ 640 ÷ 0.8 = 800
The price of a washing machine was decreased by 20% to £640. The price before the decrease was £800
What is the Cosine of 150 degrees?
Answer:
-0.86602540378
Step-by-step explanation:
I used the cosine calculator.
In radians it is:
[tex]\frac{5\pi }{6}[/tex]
according to the unit circle it is:
[tex]-\frac{\sqrt{3} }{2}[/tex]
The answer in decimal form is:
0.69925080647
The parallelogram shown below has an area of 140140140 units^2 2 squared. Find the missing base. b =b=b, equals units
Answer:
Length of the base of the given parallelogram is 14 units
Step-by-step explanation:
This question is incomplete; Find the complete question in the attachment.
Area of the parallelogram (A) = 140 square units
Height of the parallelogram (h) = 10 units
Since area of the parallelogram = Base × height
A = b × h
140 = b × 10
b = [tex]\frac{140}{10}[/tex]
b = 14 units
Therefore, length of the base of the given parallelogram is 14 units.
Answer:
14 units is the answer I got it right on khan academy.
Simplify a polynomial: (3x–4y)²–(3x–4y)(3x+4y)
Step-by-step explanation:
(3x-4y)×(3x-4y-(3x+4y))
(3x-4y)×(3x-4y-3x-4y)
(3x-4y)×(-8y)
-8y×(3x-4y
Answer: 32y^2 -24xy
Step-by-step explanation:
Simplify and determine the coefficient of (-2/5x)(5y)(-2x).
-4
1/5
1
4
Answer:
D.) 4
Step-by-step explanation:
the equation simplified is 4y and the coefficient of that is 4
Answer:
the answer is 4
Step-by-step explanation:
The trail is a loop that is 3/4 of a mile long. On Monday, Selma land the loop in 1/6 of an hour. What is selmas unit rate in mile per hour?
Answer:
1/10
Step-by-step explanation:
3/4 add 1/6
what quadrilaterals have all the attributes of a parallelogram
Answer:
Rectangles, squares, and rhombus are quadrilaterals that have attributes of a parallelogram.
Step-by-step explanation:
Put the following equation in slope-intercept form: 3x+y=10
Answer
[tex]y=-3x+10[/tex]
This is the slope-intercept form.
Step-by-step explanation:
A rental company rents a luxury car at a daily rate of $38.93 plus $.50 per mile. Paul is allotted $120 for car rental each day. Write an equation to represent the cost
C of renting a car and driving x miles. How many miles can Paul travel on the $120?
Which equation represents the cost of renting a car and driving x miles?
A. 38.93=C+0.50x
OB. C= 38.93 +0.50x
O c. 38.93 = CX +0.50
OD: C = 38.93x +0.50
Answer:
Paul can drive 162.14 miles a day for the budget of 120 dollars.
OB. C=38.93+0.50x
Step-by-step explanation:
120=C
120=38.93+0.50x
81.07=0.50x
162.14=x
I need help with this question!!
Answer:
B, C ,E
Step-by-step explanation:
B <2 = <6 they are alternate interior angles
C <1 + <6 = 180 <1 + 75 = 180 and 75 and <6 are equal because they are corresponding angle so <1 + <6 = 180
E x = 120
<1 + <6 = 180
<1 + 75 = 180
<1 = 105
<1 =x-15
105 = x-15
Add 15
120 =x
Find the domain and range of the function graphed below.
Answer:
[-1,3) domain i think the video i am watching kinda confusing tell me if i am right
[3,-5) range like i said tell me i got it wrong
Step-by-step explanation:
The domain and the range of a graph is the possible x and y values, the graph can take.
The domain of the function is: [tex]-1 \le x < 3[/tex] .The range of the function is: [tex]3 \ge y > -5[/tex]First, we determine the domain.
On the x-axis, the curve starts from x = -1 with a closed circle, and it ends at x = 3, with an open circle
A closed circle is represented by [tex]\ge[/tex] or [tex]\le[/tex], while an open circle is represented > or <
So, the domain of the graph is: [tex]-1 \le x < 3[/tex]
Next, we determine the range.
On the y-axis, the curve starts from y = 3 with a closed circle, and it ends at y = -5, with an open circle
Using the explanation of open and closed circle above,
The range of the function is: [tex]3 \ge y > -5[/tex]
Hence, the domain and the range of the graph are: [tex]-1 \le x < 3[/tex] and [tex]3 \ge y > -5[/tex], respectively.
Read more about domain and range at:
https://brainly.com/question/1632425
How do u get this?? I know the answer but then I don't know why they shuld divide by 2 I will mark the person who explains wit proper explanation and gives the crct answer as brainliest....
Thank you so much
Answer:
10.89
Step-by-step explanation:
Circle:
C = TTD
C = TT(6.6)
C = 20.73451151
C = 20.73
Triangle:
A = bh/2
A = 6.6(3.3)/2 6.6/2=3.3
A = 21.78/2
A = 10.89
Shaded Region = 10.89
Mr. Louis is taking a bus tour. The cost of the bus tour includes: $25.75 for the bus ride $9.25 for lunch admission to two museums, admission cost is the same to each museum The cost of the bus ride and lunch is 58 the total cost of the bus tour. What is the cost, in dollars, of the tour? What is the admission cost, in dollars, to each museum? Enter your answers in the boxes. The cost, in dollars, of the tour is . The admission cost, in dollars, to each museum is .
Answer: admission cost is 21 dollars
Step-by-step explanation:
Answer:
The cost of the tour is $56
The admission cost $21
Which expression is equivalent to (2x to 4 y) 3 exponent?
Answer:
The answer is D hope that’s helps !
Step-by-step explanation:
8X^12Y^3
Scientists were interested in testing a new technique to prevent slipping on ice: wearing socks over boots!
500
500500 volunteers were randomly assigned to two groups. Both groups were asked to walk downhill on an icy road. One group simply wore boots, while the other group wore socks over their boots. All boots and socks were supplied by the scientists.
Once downhill, the participants were asked to indicate the number of times they slipped. Then, the scientists compared the average "slipperiness" score of each group.
What type of statistical study did the scientists use?
Answer:
The scientist used the experimental statistical study.
Step-by-step explanation:
Statistical study is the process of collecting, analyzing and presentation of data to achieve an accurate conclusion. The major types are: survey, and experimental.
Survey statistical study can easily be achieved by the use of questionnaires to sample the opinion of participants. While experimental statistical study involve the participants observing a process or some procedures before conclusions can be made.
In the given question, the scientist performed an experiment by asking participant to undergo a process before making his conclusion. Thus, he used an experimental statistical study.
Omg, I need help! A builder is buying property where she can build new houses. The line plot shows the sizes for each house. 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X's. Help anyone?
Answer:
Average size of the lots = ⅓ acre
Step-by-step explanation:
The question incomplete without specifying what we are to determine.
Question:A builder is buying property where she can build new houses. The line plot shows the sizes for each house. 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X's. Organize the information in a line plot. What is the average size of the lots? _________ acre
Help anyone?
Solution:
We are asked to organize the information in a line plot. See attachment for the line plot.
Given: 1/6 has 6 X's 1/3 has 3 X's and 1/2 has 6 X'sIn no particular order, the sizes of the lots are:1/6, 1/6, 1/6, 1/6, 1/6, 1/6, 1/3, 1/3, 1/3, 1/2, 1/2, 1/2, 1/2, 1/2 and 1/2 acre.
Let's count the number of lot for each size given.
For 1/6: there are 6 X's on the line plot of 1/6 number of lot for 1/6
= the lot × number of times it occurs
= (1/6) × 6 = 6/6 = 1 acre
For 1/3: there are 3 X's on the line plot of 1/3 number of lot for 1/3 = the lot × number of times it occurs
= (1/3) × 3 = 3/3 = 1 acre
For 1/2: there are 6 X's on the line plot of 1/2 number of lot for 1/2
= the lot × number of times it occurs
= (1/2) × 6 = 6/2= 3 acres
To find average size of the lots, we would sum all lot for each given size then divide by the total number of lots given.Sum of all lot for each given size = 1+1+3
Sum of all lot for each given size = 5
The total number of lots given = 15
Average size of the lots = 5/15 = 1/3
Average size of the lots = ⅓ acre