The height of the prism [tex]\approx 2.9[/tex]
The whole volume of the prism is
[tex]\text{Volume} = \text{Area of base}\times \text{Height}[/tex]
Here, the volume is 38 cu. in.
From the question, the area and the height are related as follows;
[tex]\text{Height} = \text{Area} - 10 \implies \text{Height + 10} =\text{Area}[/tex]
Substituting this into the formula for the volume, we get
[tex]\text{Volume}=(\text{Height} +10)\times \text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}=38\\\\\text{Height}^2 + 10\times\text{Height}-38=0[/tex]
If the above quadratic equation is solved for the height, we get
[tex]\text{Height}\approx 2.9[/tex]
(We can't take the other solution since height has to be greater than zero)
Another word problem on volume can be found in this link: https://brainly.com/question/17142547
Find the perimeter. Simplify your answer.
Answer:
2p -2
Step-by-step explanation:
To find the perimeter, add up all the lengths of each side of the rectangle.
Perimeter
= 2 +2 +p -3 +p -3
= 2 +2 -3 -3 +p +p
= -2 +2p
= 2p -2
What is the value of the expression m^4- 11 when m = 3? Use the number pad to enter your answer in the box.
Answer:
70
Step-by-step explanation:
m^4 - 11
when m = 3
3^4 - 11
81 - 11
70
4 1/2 + 1 3/5
What is the sum because I’m very slow
First, chance the fractions so the denominators are the same. The GCF of these is 10, so multiple both numerators and denominators so the denominator is 10.
1/2 = 5/10
3/5 = 6/10
Add the wholes and the fractions:
5 11/10
Since the numerator is higher than the denominator, we can make another whole:
11/10 - 10/10 = 1/10
So 5 becomes 6 because of the whole:
5 + 1 = 6
The fraction becomes 1/10:
So the final answer is:
6 1/10
(Important Note: Unless asked, you must always put fractions into its smallest form, meaning numerator can NEVER be higher than the demoninator. When you do this process, do not forget to add the whole number or else you will be incorrect.)
(Second note: its not GCF its closest product they have.)
Answer:
6 1/10
Step-by-step explanation:
convert mixed fraction to improper fraction
4 1/2 + 1 3/5
= (4*2 + 1) / 2 + (1*5 + 3) / 5
= 9/2 + 8/5
= lcm of 2 and 5 = 10
= (5 * 9 + 8 * 2) /10
= (45 + 16) /10
= 61/10
= (60 + 1) / 10
= 6 1/10
Hope it helps.
confused can get some help plz
Answer:
Blue costs 2.875 or 2.88 if rounded, Red costs 3.875 or 3.88 if rounded
Step-by-step explanation:
Find the coordinates of R please
Answer:
3,-3
Step-by-step explanation:
The coordinates are 3 and -3. x is 3 and y is -3.
Answer:
(3,-3)
Step-by-step explanation:
as the answer is at down of x axis
What is 45.5% in simplest form?
Answer: 45.5/100 = 455/1000
Step-by-step explanation:
Step-by-step explanation:
45.5% in its simplest form is
[tex] \frac{91}{2} [/tex]
but 45.5% =
[tex] \frac{91}{2} \ \times 100 = \frac{91}{200} [/tex]
A mobile phone company increases its monthly prices by 1.8% to 35.62. How much is the monthly price increase?
Answer:
0.62982 monthly price increase
Step-by-step explanation:
There are 50 sheets of scrapbook paper in a pack, and 20% of them are striped. How many sheets of scrapbook paper are striped? Pick the model that represents the problem. How many sheets of scrapbook paper are striped?
Answer:
10 sheets of paper are striped
Step-by-step explanation: Make a proportional relationship.
20% as a fraction is 20/100
Make 50 into a fraction using a variable. For example, x/50
Cross multiply 20 and 50. That equals 1000.
Then divide 1000 by 100 and that equals 10. So 10 sheets of paper are striped.
Hope this helps!
I need some help please
The length is 5 units.
14 +6p = 5+3 p
what's the answer to this equation
Answer:
19 = -3p
Step-by-step explanation:
14 +6p =5 +3p
c.l.t
14 +5 = -6p + 3p
19 = -3p
(-7/10 + 0.15) ➗ (-0.125)
Plz show step by step
Answer:
4.4
Step-by-step explanation:
(-7/10 + 0.15) ➗ (-0.125)
=> (-0.7 + 0.15) ➗ (-0.125)
=> (-0.70 + 0.15) ➗ (-0.125)
=> (-0.55) ➗ (-0.125)
=>(-0.550) ➗ (-0.125)
=> -0.550 ➗ -0.125 [Negative-Negative cancels]
=> 0.550 ➗ 0.125
=> 4.4
Given the graph below, which of the following could be the quadratic equation?
A.
[tex]3(x + 2 {)}^{2} + 5[/tex]
B.
[tex] - {x}^{2} + 8x + 18[/tex]
C.
[tex] - 2(x - 3 {)}^{2} + 1[/tex]
D.
[tex] {x}^{2} - 8x + 18[/tex]
Needs to be answered quickly
Answer:
only D as the correct answer
Step-by-step explanation:
The correct quadratic could not be B or C, because the negative sign in each indicates that the parabola opens down, which is not what we see here.
A is not appropriate either, because of the (x + 2)^2; that + sign tells us that the vertex lies 2 units to the left of the y-axis.
This leaves only D as the correct answer.
It takes Martin 20 minutes to walk 5 laps around the school track what is the unit rate that Martin walk around the school track
Answer:
4 minutes per lap
Step-by-step explanation:
20/5 is 4
Find the slope
Answers:
Question 1 options:
-3
3
-2
Answer:
b
Step-by-step explanation:
ABCD is a quadrilateral. Select all the criteria that are sufficient to prove that ABCD is a parallelogram.
Line segment AB is congruent to line segment DC and Line segment is congruent to line segment BC.
Line segment AB is parallel to line segment DC
X is the midpoint of line segment AC and line segment BD
A parallelogram is a shape which has opposite sides to be equal and parallel. Therefore, the required properties that are sufficient for the prove are:
A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.
B. Line segment AB is parallel to line segment DC.
Quadrilaterals are four sided shapes. Examples are square, rectangle, parallelogram, trapezium etc. These have different or distinguishing properties.
A parallelogram is a figure that has its opposite sides to be equal in length and which are also parallel. This properties can be used to answer the given question.
Thus, the appropriate criteria that are sufficient to prove that ABCD is a parallelogram are:
A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.
B. Line segment AB is parallel to line segment DC.
Visit: https://brainly.com/question/3100335
solve pls brainliest
Answer:
48.95
Step-by-step explanation:
- 3/4(12x+16)<9-5x Show your work
Answer:
x > -5.25
Step-by-step explanation:
At a local grocery store, 7 lb of squash cost $14.00
and 4 lb of tomatoes cost $10.00.
Answer:
1 LB of tomatoes is $2.50 and 1 LB of squash is $2.00
Step-by-step explanation:
What is an equation of the line that passes through the points (2, -7)(2,−7) and (2, -2)(2,−2)
Answer:
X = 2
Step-by-step explanation:
Slope: (- 7 - -2)/(2 - 2) = -5/0 = 0
The line is vertical (undefined
Find the value of a.
х
409
0.
a
y
O A. 60
OB. 80
OC. 40
Answer:
50°
Hope you could understand.
If you have any query, feel free to ask.
PLEASE HELPPPPPPPPPPPPP
In a recent year, 34.7% of all registered doctors were female. If there were 48,900 female registered doctors that year, what was the total number of registered doctors?
ROUND YOUR ANSWER TO THE NEAREST WHOLE NUMBER
Answer:
140922
Step-by-step explanation:
48900/34.7 = 1409.2219
1409.2219 *100 = 140922.19
rounded - 140922
Which represents the solution set of 5(x+5) <85?
X<12
Χ> 12
X< 16
Χ<16
Answer:
[tex]x<12[/tex]
Step-by-step explanation:
[tex]5(x+5)<85\\\\5x+25<85\\\\5x<60\\\\x<12[/tex]
Option A is correct, x<12 represents the solution set of 5(x+5) <85
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 5(x+5) <85
We have to find the solution set of the given inequality
Five times of x plus five less than eight five.
Apply distributive property
5x+25<85
Subtract 25 from both sides
5x<85-25
5x<60
Divide both sides by 5
x<12
Hence, option A is correct, x<12 represents the solution set of 5(x+5) <85
To learn more on Inequality click:
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Write an equation representing how much Keith paid.
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Answer:
Let x represents the entry fees
y represent the cost of each ticket
Gwen equation
x + 10y = 30 ... (i)
Tristan equation
x + 15y = 40 ...... (ii)
Keith equation
x + 10y = 30 .......... (iii)
By solving eq. (ii) and (iii), we get
x = 10
y = 2
Hence entry fees = $10
cost of each ticket = $2
Step-by-step explanation:
X = 4 + y
2x – 3y = 1
We know x = 4 + y (1)
So 2x - 3y = 1
<=> 2.(4 + y) - 3y = 1
<=> 8 + 2y - 3y = 1
<=> 8 - y = 1
<=> y = 8 - 1
<=> y = 7 (2)
move (2) to (1) : x = 7 + 4 = 11
ok done. Thank to me :>
List three negative numbers that are greater than - 9
Answer:
the answer to your question is -6 -5 -3 but there are more.
Answer:
there are infinite but you can take any numbers from the right one that are
-8,-7,-6,-5,-4,-3,-2,-1,0,1,2....
{1, 2, 3, 4, 5, ..., 198, 199, 200}
How many members of the set shown above are multiples of 6 but not a multiple of 9?
(I need a faster way of doing this question. Not listing the factors of 6 and 9 one by one.)
Thank you so much. I will give brainliest!!!
Answer:
22
Step-by-step explanation:
The least common multiple of 6 and 9 is 18. Consider a group of 18 numbers, 1–18, for example. The multiples of 6 are 6, 12, and 18, of which two are not multiples of 9.
There are 11 groups of 18 numbers in 1–200, with 2 left over. That means there will be 11×2 = 22 numbers that are multiples of 6 but not 9.
__
200/18 = 11 remainder 2
Steve bought 7 boxes of pencils. Each Box contained 9 pencils. He wants to give each of his 6
friends as many pencils as possible and keep the rest. Which statement is true?
Answer:
A
Step-by-step explanation:
7*9=63
63/6= 10 remainder 3
Therefore each friend gets 10 boxes of pencils and Steve gets the leftover 3 boxes of pencils
6) Jennilsa is making ice cream. The recipe requires ½ cup of milk and 1 ½ teaspoons of sugar. Jennilsa wants to make the recipe using 1 cup of milk. To maintain the ratio, how much sugar is required when 1 cup of milk is used?
Answer:
2 teaspoons of sugar
Step-by-step explanation:
So if jennilsa is using 1 cup of milk for the recipe she would need 2 teaspoons of sugar.
Which is bigger 12 cm or 102 mm
On comparing the quantities 12 cm or 102 mm, 12 cm (120 mm) is greater than 102 mm.
To compare the sizes of 12 cm and 102 mm, both numbers should have the same unit.
Now, the conversion factor cm and mm is
1 cm = 10 mm
Then, using the conversion factor convert 12 cm to mm
12 cm = 12 x 10 mm
= 120 mm
Now, compare 120 mm and 102 mm which gives 120 mm is greater.
Thus, 12 cm is greater than 102 mm.
Learn more about Unit Conversion here:
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Five students sold lemonade and earned a total of $21.30. If they equally split their earnings, how much would each student receive?
Answer:
$4.26 each
Step-by-step explanation:
21.30 divided by 5 equals 4.26
(had to do it in words because I only have + - = )