Answer:
The volume of the irregular figure would be 144 [tex]cm^3[/tex].
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is [tex]l*w*h[/tex], where [tex]l[/tex], [tex]w[/tex], and [tex]h[/tex], represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 [tex]cm^3[/tex], and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 [tex]cm^3[/tex]. So the volume of the entire irregular figure would be 108 + 36 = 144 [tex]cm^3[/tex].
Answer:
144 cm^3
Step-by-step explanation:
Large rectangle:
12 × 3 × 3 = 36 × 3 = 108
Small rectangle:
7 - 3 = 4
4 × 3 × 3 = 12 × 3 = 36
Both:
36 + 108 = 144
Hope this helped.
round to the nearest underlined place 18 904 A. 18,000 B. 19,000 C. 20,000 D. 18,920
Answer:
B 19,000
Step-by-step explanation:
;------------------------;
3 times the sum of a number and 4 is 20
Answer:
as per the statement we form an algebraic equation as
3(x+4) = 20
3x + 12 = 20
3x = 8
x = 8/3
as per my understanding that's the answer
What is the length of the altitude of the equilateral triangle below?
Answer:
E. 12
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : √3 : 2
The short leg is 4√3.
The long leg is √3 times the short leg.
a = 4√3 * √3 = 4 * √9 = 4 * 3 = 12
Answer: E. 12
let the cp be rs x. if a man gains 20% profit by selling an article for rs 816. find cp
Answer:
Let, the c.p be x.
Given,
profit % = 20%
S.P = rs 816
c.p = x
We know,
profit = p% of c.p
= [tex]\frac{20}{100}[/tex] * x
= [tex]\frac{x}{5}[/tex]
now,
C.p = profit + s.p.
x = [tex]\frac{x}{5}[/tex] + 816
x = [tex]\frac{x+ 4080}{5}[/tex]
5x = x + 4080
5x-x = 4080
4x = 4080
x = [tex]\frac{4080}{4}[/tex]
x = Rs 1080
Hence, the c.p is Rs. 1080
what is the answer to 7b-7-8b= -15
Answer:
b=8
Step-by-step explanation:
7b-7-8b=-15
Combine like terms
-b-7=-15
Add 7 on both sides
-b=-15+7
-b=-8
Divide by -1
b = 8
Answer: b = 8
Step-by-step explanation:
Given
7b - 7 - 8b = -15
Combine like terms
-b - 7 = -15
Add 7 on both sides
-b - 7 + 7 = -15 + 7
-b = -8
Divide -1 on both sides
-b / -1 = -8 / -1
b = 8
Hope this helps!! :)
Please let me know if you have any questions
Which pieces of information can be gathered from these box plots?
Answer:
A & C
Step-by-step explanation:
1. Point B bisects AC. If AB = 2x + 10, and AC = 40, what is the value of x
Answer:
x = 5
Step-by-step explanation:
B, bisects AB. So, AB = BC
AC = AB +BC
= AB + AB
AC = 2AB
[tex]\dfrac{1}{2}AC = AB\\\\AB = \dfrac{1}{2}AC\\\\2x + 10 =\dfrac{1}{2}*40\\\\2x + 10 = 20[/tex]
Subtract 10 from both sides,
2x = 20 - 10
2x = 10
Divide both sides by 2
x = 10/2
x = 5
comeplete using distributive property (x+2x+3x)(x+4)
Answer:
6x^2 + 24x
Step-by-step explanation:
3) Suppose Sandra makes credit card purchase for $4,000 that compounds interest daily. The APR is 3%. How much interest is earned on Sandra’s card after 1 year if Sandra makes no payments? (Use the formula below for help).
A=P(1+r/n)nt
Answer:
$121.81
Step-by-step explanation:
A= 4000(1+.03/365)^365
[tex]4000\left(1+\frac{0.03}{365}\right)^{365}=4121.81305\dots[/tex]
Total interest earned on Sandra’s card after 1 year is $4,121.81
What is compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A=P(1+r/n[tex])^{nt}[/tex]
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given,
A=P(1+r/n[tex])^{nt}[/tex]
Sandra makes a credit card purchase for $4,000 that compounds interest daily.
P = $4,000
r =3%
t = 1 year
A=P(1+r/n[tex])^{nt}[/tex]
Substitute the values of P, r and t in the formula,
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 4,000.00(1 + 0.03/365)(365)(1)
A = 4,000.00(1 + 8.2191780821918E-5)(365)
A = $4,121.81
Therefore, total interest earned on Sandra’s card after 1 year is $4,121.81.
To learn more about the compound interest rate;
https://brainly.com/question/13307568
#SPJ5
11.49 for 3 packages
Answer:
Individual package would be 3.83
Hope this helps <3 Comment if you want more thanks and be sure to give brainliest (4 left) <3
2.(08.01 MC)
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint:
You may only enter numerals, decimal points, and negative signs in the answer blank)
Answer:
Step-by-step explanation:
Start by finding the radius
d = 8
r = d/2
r = 8/2
r = 4
Next find the height
the height = 3 times the radius
the height = 3 * 4
The height = 12
Volume = pi * r*r * h
pi = 3.14
r = 4
h = 12
V = 3.14 * 4 * 4 * 12
V = 602.88
HELP!!!!!!!!!!!!!!!!
Answer:
14...
area = 1/2 b h
b= 7-0 = 7 ... 7/2 = 3.5
h = 7-3 = 4
3.5 * 4 = 14
Step-by-step explanation:
3/2x + 7/2 = 2x what is the solution to the equation
Answer:
x=7
Step-by-step explanation:
3/2x + 7/2 = 2x
Subtract 3/2x from each side
3/2x -3/2x + 7/2 = 2x-3/2x
7/2 = 2x -3/2x
Get a common denominator
7/2 = 4/2x - 3/2x
7/2 = 1/2 x
Multiply each side by 2
7/2 *2 = 1/2x*2
7 =x
Answer:
x=7
Step-by-step explanation:
im smart
solve for x: 3x²-243
3x²–243=0 —> 3 (x²–81) = 0 —>
x²–81=0 —> (x-9)(x+9)=0
x-9=0 —> x=9
x+9=0 —> x=–9
I hope I helped you^_^
Find the length of the third side. If necessary, round to the nearest tenth.
15
20
Submit Answer
Answer:
attempt 1 out of 2
The water level in a plastic pool changed
by −8 gallons each hour due to a small
hole in the bottom. After 6 hours, the pool
contained 132 gallons. How much water
was in the pool originally?
Answer: 180 gallons
Step-by-step explanation:
If you take 8 times 6 you get 48, now take 132 plus 48 and you get 180.(hope this helped):)
True or False: A rational number can be expressed as the quotient a/b where b ≠ 0.
Answer:
true?
Step-by-step explanation:
A rational number can be expressed as the quetient a\b where b=0 is true
This is Solving Linear Equations.
Answer:
x=12
Step-by-step explanation:
you have to group the like terms in order to solve this equation, this will result to;
5/2x-3/4x=14+7
1.75x/1.75=21/1.75
x=12
I hope this helps
Required solution :
The given equation is,
(5 / 2)x - 7 = (3 / 4)x + 14⇒ 5x - 14 / 2 = (3 / 4)x + 14
Transposing 14 from R.H.S. to L.H.S.,
⇒ (5x - 14 / 2) - 14 = (3/4)x
⇒ 5x - 14 - 28 / 2 = 3x / 4
⇒ 5x - 42 / 2 = 3x / 4
⇒ 4 (5x - 42) / 2 = 3x
⇒ 4 × (5x - 42) / 2 = 3x
⇒ 2 (5x - 42) = 3x
⇒ 10x - 84 = 3x
⇒ 10x - 3x = 84
⇒ 7x = 84
⇒ x = 84 / 7
⇒ x = 12
Therefore, option d that is 12 is correct.
The circumference of a circular garden is 106.76 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer.
Answer:
Step-by-step explanation:
The circumference formula is
C = 2πr. If we are solving the for the radius, and we are using 3.14 for π, we can fill in accordingly:
106.76 = 2(3.14)r and
[tex]\frac{106.76}{2(3.14)}=r[/tex] so
r = 17
help w #5 !! will mark brainlist
The sum that represents the number of tickets sold if 35 tickets were sold Monday, half of the remaining tickets were sold on Tuesday and 14 tickets were sold on Wednesday.
To start solving this, we can assign t as the variable to the total number of tickets that were sold. So, t = 35 (for Monday) + (t - 35)/2 (for Tuesday) + 14 (for Wednesday). To solve this, we can say t = 49 + (t - 35)/2, or 2t = 98 + t - 35, which equals t = 63. Therefore, 63 tickets were sold total.
Does anyone know how to do these. Its due in the morning. Pls help
Answer:
15)Given equation:
y = 2/5x - 3To plot the line first find two points:
1. x = 0 ⇒ y = -32. x = 5 ⇒ y = -1Plot (0, -3) and (5, -1) and connect the points with a line. This will be the required line.
16)Use Pythagorean to find the missing leg:
[tex]x = \sqrt{13^2 - 5^2} = \sqrt{144} = 12[/tex] unitsIf the function f is given by f(x)= 4x -3, find the value of f(2+h)
[tex]\\ \sf\longmapsto f(2+h)[/tex]
[tex]\\ \sf\longmapsto 4(2+h)-3[/tex]
[tex]\\ \sf\longmapsto 4h+8-3[/tex]
[tex]\\ \sf\longmapsto 4h+5[/tex]
PLS HELP ME ON THIS QUESTION I WILL MRK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean
Answer:
range
Step-by-step explanation:
Answer:
B. range.
Step-by-step explanation:
others are:
» Standard variation.
» Interquatile range.
» Quatiles, deciles and percentiles.
» variance.
[tex]{ \underline{ \blue{ \sf{christ \: † \: alone}}}}[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A construction company buys a certain number of boxes of nails depending on how many houses they plan to build in a year. They have 5 boxes left over from the previous year and predict that this year they will need 3 boxes per house. Write an equation where y represents the number of boxes they need to purchase and x the number of houses they plan to build.
A. y=5x−3
B. y=3x+5
C. y=5x+3
D. y=3x−5
Answer:
I'm not so sure but i guess it's option D y=5x-3
the question said that the number of box of nails are purchased depending on how many houses they planned to build. so for knowing the boxes of nails they need to purchase they need to subtract the boxes which were left and the boxes we need now
What is the value of the expression below when z=6
z²+3z-3
Answer:
51 I hope it will help you
Step-by-step explanation:
mark me as a brainlist answer
Answer:
51
Step-by-step explanation:
Plug in z
(6)^2 + 3(6) - 3
36+18-3
54-3= 51
Which equation describes the same line as y- 6 = -4(x + 1)?
O A. y-4x+7
O B. y - 4x4
O c. y - 4x + 2
O D. y=-4x+ 3
Answer:
Option C is correct
Step-by-step explanation:
[tex]y−6=−4(x+1) \\ [/tex]
[tex]y−6=−4x−4 \times 1[/tex]
[tex] y−6=−4x−4 [/tex]
[tex]y=−4x−4+6 [/tex]
[tex]y=−4x+2[/tex]
Hope it is helpful....Find the quotient. Write your answer in scientific notation.
(4.2×10^2)÷(1.5×10^3)=
term 1 is -3, term five is 5. find the tenth term?
Answer:
t(10) = 15
Step-by-step explanation:
5 - (-3)/ 5 - 1
= 2
t(n) = t1 + (n - 1)(d)
t(10) = -3 + (10 - 1)(2)
t(10) = -3 + (9)(2)
t(10) = -3 + 18
t(10) = 15
find the median and mean of the data set below :
Answer:
Median = 15
Mean = 22
Step-by-step explanation:
Median = first lets arrange the data type from smallest to biggest and select the middle number as it will be our median
1, 11, 14, 15, 31, 35, 47
the middle number is 15
so 15 will be our median
Mean = [tex]\frac{sum of all numbers }{total numbers\\}[/tex] sum of all numbers divided by the number of values in the set
[tex]\frac{1 + 11 + 14 + 15 + 31 + 35 + 47}{7}[/tex]
= [tex]\frac{154}{7}[/tex]
= 22
so our mean will be 22
What is the volume?
9 ft
4 ft
2 ft
HELPPPP
Answer:
72?
Step-by-step explanation:
V=whl=4 x 2 x9=72