Answer:
length = 5 meters
width = 2 meters
Step-by-step explanation:
The volume of parallelepiped is given by:
Volume = length * width * height.
If the volume is 50 m3, the length is x + 3, the width is x and the height is 5 m, we can use the volume equation to find the value of x:
50 = (x+3) * x * 5
10 = (x+3) * x
x^2 + 3x - 10 = 0
Using Bhaskara's formula, we have:
Delta = 3^2 + 4*10 = 49
sqrt(Delta) = 7
x1 = (-3 + 7)/2 = 2
x2 = (-3 - 7)/2 = -5 (This value would cause negative measurements, so it is not a valid answer)
So with the value of x = 2, we can find the length and the width of the tank:
length = x + 3 = 2 + 3 = 5 meters
width = x = 2 meters
1. sqrt(6-3x)-2=0
A. 2/3
B. 2
C. 10/3
D. 4
Answer:
I believe that the answer to this question is A.
2/3
10 kg of tea leaves when 3 kg of tea leaves cost $18
Answer:
$60 for 10kg of tea leaves.
Step-by-step explanation:
1.- divide $18 by 3kg to determine the price of a single tea leaf.
18/3 = 6
1 tea leaf costs $6
2.- multiply the price of a single leaf by the number of leaves you want.
10 x 6 = 60
What is the area of the triangle?
Answer:
80
Step-by-step explanation:
10*16=160 160 is the area of the square so you have to divide it by 2 and then you get 80
please help I need it.
Answer:
option 2
Step-by-step explanation:
√8^2+(22/2)^2=√64+121=√185≈13.6
find the square root of each of the following decimal numbers correct to two places of decimal : I. 175.01 II. 423.74 III. 5893.27 iv.7136.8
Answer:
i. 13.23
ii. 20.58
iii. 76.77
iv. 84.48
Step-by-step explanation:
Here , we are to calculate the square root of we have of the decimal numbers and correct to two decimal places.
i. √(175.01) = 13.229 = 13.23
ii. √(423.74) = 20.5849 = 20.58
iii. √(5893.27) = 76.767 = 76.77
iv. √(7136.8) = 84.4795 = 84.48
Kindly note that the approximation to two decimal places are the figures after the equal to
Can anyone also help with this thanks
Answer:
2x-6
Step-by-step explanation:
Just distribute 2 to each variable in the parenthesis
Answer:
2x-6
Step-by-step explanation:
2(x-3)
2x-2(3)
2x-6
Match the terms of this geometric sequence with their term numbers. 5, 10, 20, 40, 80, 160, ...
Boxes: [12th term] [nth term] [2nd term] [4th term] [(n-1)th term] [6th term]
Terms to be put in boxes: 5*2^4-1, 5*2^2-1, 5*2^12-1, 5*2^n-2, 5*2^6-1
Answer:
12th term: [tex]a_{12}=5\times 2^{12-1}[/tex]
nth term: [tex]a_n=5\times 2^{n-1}[/tex]
2nd term: [tex]a_{2}=5\times 2^{2-1}[/tex]
4th term: [tex]a_{4}=5\times 2^{4-1}[/tex]
(n-1)th term: [tex]a_{n-1}=5\times 2^{n-2}[/tex]
6th term: [tex]a_{6}=5\times 2^{6-1}[/tex]
Step-by-step explanation:
The first term of GP, a = 5
Common ratio, r = 2
Formula for [tex]n^{th}[/tex] term of a GP, [tex]a_n=ar^{n-1}[/tex].
Putting the values of a and r. So, [tex]n^{th}[/tex] term is:
[tex]a_n=5\times 2^{n-1} ...... (1)[/tex]
[tex]12^{th}[/tex] term is:
Put n = 12 in (1):
[tex]a_{12}=5\times 2^{12-1}[/tex]
2nd term is : (Put n = 2 in (1))
[tex]a_{2}=5\times 2^{2-1}[/tex]
4th term is: (Put n = 4 in (1))
[tex]a_{4}=5\times 2^{4-1}[/tex]
(n-1)th term is, put value of n as (n-1) in equation 1:
[tex]a_{n-1}=5\times 2^{n-1-1}\\a_{n-1}=5\times 2^{n-2}[/tex]
6th term is: (Put n = 6 in (1))
[tex]a_{6}=5\times 2^{6-1}[/tex]
Aiyanah made 12 withdrawals of $175.25 each from her bank account. Then she made 17 deposits of $235.66 to her same account that same day. What was the overall change in her account that day?
Answer:
The overall change is $1903.22
Step-by-step explanation:
Let us approach this problem step wise
1.Firstly let us calculate all 12 withdrawal of $175.25
12*$175.25= $2103
2. Let us calculate all the deposits made 17* $235.66 = $4006.22
With these figures we can calculate the overall changes as
= $4006.22-$2103= $1903.22
Answer
A)75
B)65
C)60
D)70
Answer:
the answer is C your welcome!!!!
Step-by-step explanation:
Answer:
Let's denote O as center of circle.
=> Two isosceles triangles AOB and EOF are congruent (SSS).
Because AO = BO = EO = FO = radius of circle O, AB = EF = 8
=> Arc AB = AOB = EOF = Arc EF = 65 deg.
Hope this helps!
:)
Which series of transformations results in a figure that is SIMILAR to the original figure. Select all that apply.
Translation, Reflection, Rotation
Translation, Dilation, Reflection
Dilation, Reflection, Rotation
Rotation, Rotation, Translation
Rotation, Translation, Reflectio
Answer:
Translation, Reflection, Rotation
Step-by-step explanation:
In mathematics, objects undergo series of transformations. Transformation can be defined as the movement of an object from one particular position to another position
The transformations that an object undergoes are such that the resulting figure created is SIMILAR TO OR THE SAME AS the original figure is referred to as ISOMETRIC TRANSFORMATIONS.
They are:
a) Translation: The movement that occurs in translation of objects is the sliding movement. During translation, an objects is moved from one point to another point without rotating or reflecting the object. This is also known as sliding.
b) Reflection: During reflection, an object is transformed turning it over the line of reflection to another side or position.
c) Rotation: Rotation is the transformation of an object by rotating the object about a fixed point.
Katie works for a company that designs children’s playhouses. The diagram shows her design for a new playhouse. Katie can select the color of the plastic used to make the playhouse. Panels can be cut from 14-ft by 14-ft sheets of plastic.
Play house is made of triangular prism which is placed up on a rectangular prism. The dimension of rectangular prism are length 13.2 ft, width 13.2 ft and height 6.6 ft. The dimension of triangular prism are slant height 8.8 ft and base same as the length of the rectangle.
Part A
How many sheets of plastic will Katie need? Explain.
Answer:
1029384rymajjdkcjvj
In the U.S., approximately 8.3% of the population has diabetes. Maryland's rate of diabetes for its residents is 12% higher than the national average. What is the rate of diabetes in the state of Maryland? *
Answer:
9.30%
Step-by-step explanation:
Given;
The average rate in the national average N = 8.3%
The average rate in Maryland R = 12% higher than national
R = N + 12% of N
R = N + 0.12N
R = 1.12N
R = 1.12 × 8.3%
R = 9.296%
R = 9.30%
Rate of diabetes in Maryland = 9.30%
What is the measure of angle b ?!
Answer:
the answer is 47
Step-by-step explanation:
first you would add the sum of angle A to the sum of angle D. next you would subtract 180 from 133 to get 47. then you can check your answer by adding 34 and 47 which is 81 and then subtract that from 180 to get the measure of angle D.
34+99=133: 180-133=47
34+47=81: 180-81=99
Hope this helps.
Based on the description of the scenario, which of the variables is the dependent variable?
Answer:
We need the scenario.
Step-by-step explanation:
Generally the independent variable is the thing you are changing and the dependent variable is being changed based on the independent variable.
Ex:
y= x+1
x is the independent variable because you can put in whatever value you want in and y is the dependent variable because its value depends on what you choose for x if that makes sense. I would need you scenario to be able to tell you exactly what it is.
Answer:
For the first one test score
For the second one it's y-axis
Step-by-step explanation:
I just did the assignment
A
B
C
D
need this to be right!!!!!
Answer:
c
Step-by-step explanation:
5x-10=-10
5x=-10+10
5x=0
x=0/5
x=0
please help quickly!
What is the measure of Arc CB. How did you determine this?
Answer:
As shown in picture,
Angle CDF = Angle BDE = 54 deg (pair of opposite angles)
Angle CDB = 180 - CDF = 180 - 54 = 126 deg (BF is a diameter).
=> Arc CB = Angle CDB = 126 deg (property of angle on circle)
Hope this helps!
:)
Sue deposited $1,850 in a savings account. How much would she earn in three years if the bank paid 6.75% simple interest?
I would love an explanation if possible that way I can actually learn lol. Thx!
The answer is 374.625
Here,just we have to apply the formula of interest and that is Principal*time*rate/100
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
$374.63
Step-by-step explanation:
Find the interest paid by the bank per year by working out 6.75% of 1850 (1850x0.0675)
Then multiply this by 3 as it is three years, to get 374.625, then round it to 2 decimal places.
Which expression is equal to 2x7x6?
Answer:
84
Step-by-step explanation:
First you multiply 2 and 7
Ans 14
Then you multiply 14 and 6
Ans 84
Answer:
Ans 84
Step-by-step explanation:
When you raise a number to the power with the exponent 1/2, you get
its
Answer:
it’s principal square root
Step-by-step explanation:
i just put her answer and got it wronggg
Solve for v.
–5v = 3v − 16
｡☆✼★ ━━━━━━━━━━━━━━ ☾
-5v = 3v - 16
- 3v
-8v = -16
/ -8
v = 2
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
v = 2
Step-by-step explanation:
-5v = 3v - 16
- 3v
-8v = -16
/ -8
v = 2
what does a linear graph look like?
Answer:
A linear equation looks like any other equation
Step-by-step explanation:
4x 10 > 6 solve inequalites
Answer:
40 is greater than 6
Step-by-step explanation:
calculate the formula by using simultaneous equation
1: 2x+3y = -1
x+y = -1
I think that X = -2 and Y = 1
I hope my answer will serve you.
what are the factors of m squares minus 12m plus 20 ?
Answer:
(m - 10) and (m - 2)
Step-by-step explanation:
Given
m² - 12m + 20
Consider the factors of the constant term (+ 20) which sum to give the coefficient of the m- term (- 12)
the factors are - 10 and - 2, since
- 10 × - 2 = + 20 and - 10 - 2 = - 12, thus
m² - 12m + 20 = (m - 10)(m - 2)
Please help me in this small question.
Answer:
y = 80
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5 , thus
sum = 180° × 3 = 540°
Sum the internal angles and equate to 540
110 + y + 2y + y + 110 = 540 , that is
4y + 220 = 540 ( subtract 220 from both sides )
4y = 320 ( divide both sides by 4 )
y = 80
What’s the area of the semi circle
14.18 because you do pi times the radius squared and divide it by 2.
Describe and correct the error in solving each of the equations.
Answer:
left side: 3x *- (-2x) =8+7 right side: 2v -10 = -3v *-5
Step-by-step explanation:
on the left side you add 2x to move it from the right to the left. on the right side you multiply negative with positive which is negative
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The correct answer is D
Step-by-step explanation:
What is 60% of 150? Please answer.
Answer:
90
Step-by-step explanation:
Answer:
Your answer is 90
Step-by-step explanation:
You take 150 and multiply it by .6 to get 90
Select the correct answer
The tables show the subscription costs for two magazines. What is the ratio of the cost of Magazine A to the cost of Magazine B
Answer:
A
Step-by-step explanation:
There is a 50% chance of this correct