[tex]\huge\fbox\purple{ANSWER} [/tex]
[tex] \mathsf\pink{v = l \times w \times h}[/tex]
[tex] \mathsf \purple{{72in}^{3} = c \times 4in \times 3in}[/tex]
[tex] \mathsf \pink{ {72in}^{3} = c \times 12 {in}^{2} }[/tex]
[tex] \mathsf \purple{ \frac{72 {in}^{3} }{ {12in}^{2} } = c \times \frac{12 {in}^{2} }{ {12in}^{2} } }[/tex]
[tex] \mathsf \pink{6in = c}[/tex]
[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]
➣Given➣shipping carton basically shape is rectangular prism type➣its volume (shipping carton)=72in²➣its height =3in➣its width = 4in➣ assumption :- length "c"[tex] \boxed{ \pink✠\underline{ \boxed{ \sf{Volume \: of \: Rectangular \: prism=length × width × height.}}} \pink✠}[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ Let's substitute values according to given info[tex] \qquad \sf \: ➛ 72 = c \times 4 \times 3 \\ \qquad \sf \: ➛72 = c \times 12 \\ \qquad \sf \: ➛transporting \: 12 \: in \: divide \\ \qquad \sf \: ➛ \frac{72}{12} = c \\ \qquad \sf \: ➛ \cancel\frac{72}{12} = c \\ \qquad \sf \: ➛6 = c[/tex]
[tex]\rule{80mm}{2.5pt}[/tex]
★ Hence "c" (length) of Rectangular prism (shipping carton) is
[tex]\boxed{ \blue✜\underline{ \boxed{ \sf{length(c)= 6inch \green✓}}} \blue✜}[/tex]
Hope it helps !
one of the two equal sides of an isosceles triangle is 5.4 CM. if the perimeter of the triangle is 15.4 cm, find the length of the remaining sides of the triangle.
Answer:
4.6cm
Step-by-step explanation:
5.4 is the length of one side and if you have 2 sides that are equal you double that
5.4 x 2 = 10.8
15.4 - 10.8 = 4.6cm
Write the equation of a line that is parallel to 2x -5y = 15 and goes through the point (1,4).
Answer:
(y-4) = 2(X+1)
Step-by-step explanation:
The given eqaution is; y = 2x-5.......(i)
Now; the equation is in the form of y= mx+b.
Slope(m1) = 2.
As per the condition of parallel lines, the slope of the 1st equation (m1) = the slope of the 2nd equation (m2).
Therefore, m1= m2= 2
Now, use one point formula for finding the equation of the line which passes through the point.
(y-y1) = m2(x-x1)
~ Put all values.
(y-4) = 2(X+1)
You can simply write up here. But if you want to make it simplified form then, (look below)
~ simplify it.
y = 2x +2+4
The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.
Please help! will give brainlest!
Answer:
[tex]\frac{ \sqrt{3} }{2} [/tex]
Step-by-step explanation:
[tex] \cos \bigg( \frac{11\pi}{6} \bigg) \\ \\ = \cos \bigg( 2\pi - \frac{\pi}{6} \bigg) \\ \\ = \cos \bigg(\frac{\pi}{6} \bigg) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]
The area of a rectangular garden is 3927cm . If the width of the garden is 51 m , what is its length?
Answer:
77
Step-by-step explanation:
The area of a rectangle is A = lw. 'A', the area, is 3927, and 'w', the width, is 51. By substituting the values in, we get that 3927 = 51L. Dividing both sides by 51, we get that L, the length, is 77.
Find the value of x.
log x 8 = 0.5
ОА.
4.
OB.
16
O C.
32
OD.
64
Answer:
The answer to your question is D 64
Step-by-step explanation:
hope this helps you have a wonderful day.
You are putting a 10-foot ladder against your tree house. The tree house is 8 feet above the ground. How far from the tree should the ladder be set on the ground? Round your answer to the nearest tenth, if necessary.
Answer:
6 feet
Step-by-step explanation:
8×8+x×x=10×10
x×x=100-64
x=6
How to find the area of an equilateral triangle inside a circle
Answer:
Step-by-step explanation:
A shoe factory produces 1. 81 × 104 pairs of shoes each month. Estimate how many pairs of shoes the factory will produce if it maintains that rate for 10 years. (There are 1. 2 × 102 months in 10 years. ) 1. Estimate each coefficient: 1. 81 ≈ 2 1. 2 ≈ 1 2. Write the product: (2 × 104)(1 × 102) The shoe factory would make approximately ×106 pairs of shoes in 10 years.
Answer:
w
Step-by-step explanation:
The number of pairs of shoes in the factory is approximately 2 × 10⁶ in 10 years.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
A shoe factory produces 1.81 × 10⁴ pairs of shoes each month.
Estimate the number of pairs of shoes the factory will produce if it maintains that rate for 10 years.
There are 1.2 × 10² months in 10 years.
1.81 ≈ 2 and 1.2 ≈ 1
The number of shoes in 10 years will be
→ (2 × 10⁴)(1 × 10²)
→ 2 × 10⁶
The number of pairs of shoes in the factory is approximately 2 × 10⁶ in 10 years.
More about the multiplication link is given below.
https://brainly.com/question/19943359
Find the side labeled x. State your answer rounded to 5 decimal places.
HELPPPPPP
Order their calculations from greatest to least
Leon-------Mika-------Jason------Ashley
√17 - 2-----1 + π/2 -----12/5---------2.5
Answer:
Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)
Step-by-step explanation:
Putting a mix of rational and irrational numbers into numerical order can be done by using approximations to them of sufficient precision to be able to tell them apart.
Here, we can make the following approximations:
√17 -2 ≈ 2.12
1 +π/2 ≈ 2.57
Of course, the decimal value of 12/5 is 2.40, so the numbers will be arranged in order if Mika moves to the right end:
Leon (2.12), Jacon (2.40), Ashley (2.50), Mika (2.57)
__
Your calculator can help with this.
A rectangle’s length is 8 feet shorter than four times its width. The rectangle’s perimeter is 134 feet. Find the rectangle’s length and width.
The rectangle’s length is ____ feet, and its width is _____ feet.
Answer:
length= 52 feet,
width= 15 feet
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{\textcircled{1} Define the variables}}[/tex]
Let the length and the width of the rectangle bs L and W feet respectively.
L= 4W -8 -----(1)
Perimeter of rectangle= 2(length +width)
2(L +W)= 134
Divide both sides by 2:
L +W= 67 -----(2)
[tex]\textcolor{steelblue}{\text{\textcircled{2} Solve for one variable}}[/tex]
Substitute (1) into (2):
4W -8 +W= 67
5W -8= 66
5W= 67 +8
5W= 75
W= 75 ÷5
W= 15
[tex]\textcolor{steelblue}{\text{\textcircled{3} Solve for the other variable}}[/tex]
Substitute W= 15 into (1):
L= 4(15) -8
L= 60 -8
L= 52
[tex]\textcolor{steelblue}{\text{\textcircled{4} Write concluding statement}}[/tex]
Thus, the rectangle's length is 52 feet, and its width is 15 feet.
solve for x and round if necessary
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \sin(37 \degree) = \frac{0.6}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: \frac{3}{5} = \frac{0.6}{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: 3x = 5 \times 0.6[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 3 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 1[/tex]
Therefore, the required value of x is 1
Answer:
[tex]\displaystyle 1[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{0,6} = csc\:37 \hookrightarrow 0,6csc\:37 = x \hookrightarrow 0,9969840846... = x \\ \\ 1 ≈ x[/tex]
OR
[tex]\displaystyle \frac{0,6}{x} = sin\:37 \hookrightarrow xsin\:37 = 0,6 \hookrightarrow \frac{0,6}{sin\:37} = x \hookrightarrow 0,9969840846... = x \\ \\ 1 ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
Please Help I'm Confused.
Craig won first prize in Mrs. Short's class
so he gets to pick a prize from the treasure
box. He doesn't know what he wants, so
he is going to chose randomly. There are
different gift card prizes: fast food, ice cream,
CD's, DVD's, movies, the mall and Carowinds.
If there is an equal number of each card in
the box, what is the probability he will pull out
the gift card for Carowinds?
Answer: 14%
Step-by-step explanation:
Kate has five sandwiches to share with three of her friends. If each person gets the same amount of sandwich, how much will each person get?
Answer: Each person gets 1 1/4 of a sandwich.
Step-by-step explanation: Kate is sharing five sandwiches, and there are three friends with her too. Each person gets a sandwich, but you have to cut the last one three times to make fourths for everyone. So, each person gets 1 and 1/4 of a sandwich.
Hope this helps! :)
If each person gets the same amount of sandwich then each person get
is 5/3.
What is Fraction?
The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.
We have,
Total sandwiches = 5
Total number of people = 3
Now, we have to equally divide 5 sandwiches among 3 Friends.
So, Each person get
= 1 full sandwich and 2/3 part
= 1 2/3 parts
= 5/3
Learn more about Fraction here:
https://brainly.com/question/10354322
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What is the volume of the triangular prism
Answer:
A.
Step-by-step explanation:
hope its help^^
#carry on learningWhat is the solution to the equation below?
Answer:
C
Step-by-step explanation:
sqrt(2 - 3x)/sqrt(4x) = 2
sqrt(2 - 3x) = 2×sqrt(4x)
now let's just square both sides
2 - 3x = 4×4x = 16x
2 = 19x
x = 2/19
Could you please calculate angle CDO and explaing how did you get it so that I can understand how to answer this question? :)
39°
Try harder to achieve success
i dont know how to do this question please help!
Answer: 1/6
Step-by-step explanation: I think you multiply 3 times 3 because the other circle circle has an option the first doesn't have have.
Twenty-six cards with the letters from A to Z are face down. What is the probability that a vowel will be chosen?
Answer:
5/26
Step-by-step explanation:
There are 26 letters in the english alphabet then out of that 26 there are 5 vowels so the probability is 5/26
14) $400 interest is earned on a principal of $2,000 at a simple interest rate of 5%
interest per year. For how many years was the principal invested?
ок
4 years
Step-by-step explanation:[tex]per\ year\ earn:2000\times 5\%=100[/tex]
[tex]years\ needed:\ \ \ \ \ 400\div 100=4[/tex]
I hope this helps you
:)
Answer:
4 years
Step-by-step explanation:
Given data
Simple interest= $400
Principal= $2000
Rate= 5%
The simple interest formula is given as
SI=PRT/100
substitute and solve for T
400=2000*5*T/100
cross multiply
400*100= 10000*T
40000=10000T
T= 40000/10000
T= 4 years
Hence the time taken is 4 years
I need help.ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
use a kittykat proportion
Step-by-step explanation:
Convert 0.595 to a fraction in simplest form
0.595
= 595/1000
= 119/200
can you help me with this
Answer:
The answer is b. 979,000
Step-by-step explanation:
If you move the decimal right five time from 9.79 you would get 979,000
Please i need help !!!
Answer:
Jenna is correct.
Step-by-step explanation:
See attached image.
X/6 + 5 = 25
Solve the variable in the equation
Answer: 120
Step-by-step explanation:
x/6 + 5 =25, subtract 5 on both sides
-5 -5
x/6 = 20, multiply both sides by 6
6(x/6) = 20(6)
x = 120
M is the midpoint of AB. If the coordinates of A are (-1,5), and the coordinates of M are (3,3), what are the coordinates of B?
I need the answer asap!
Answer:
B = (5, 1).
Step-by-step explanation:
From the formula for the midpoint of a line :-
(-1 + x)/2 , (5 + y)/2 = (6/2, 6/2) where x and y are the coordinates of B.
so (-1 + x)/2 = 6/2
-1 + x = 6
x = 5.
and (5 + y)/2 = 6/2
5 + y = 6
y = 1.
PLEASE PLEASEEEE help me out with this!!! I’d appreciate it so so much.
Answer: (-√(3) /2, 1/2)
Step-by-step explanation:
The triangle created is a 30 60 90 triangle, and thus the opposite side of the angle equals the y-coordinate which equals 1/2, and the adjacent side of the angle equals the x-coordinate which equals -√(3) /2
what is an easy method to workout 35% of 70
Step-by-step explanation:
[tex]70 \times \frac{35}{100} = 24 .5 [/tex]
Answer:
24.5
Step-by-step explanation:
35% can be broken down into 10% + 10% + 10% + 5%
To find 10% of 70, divide 70 by 10.
To divide a number by 10, move the decimal point 1 place to the left.
⇒ 70 ÷ 10 = 7
So 10% = 7
5% is half of 10%
⇒ 5% = 7 ÷ 2 = 3.5
Therefore,
10% + 10% + 10% + 5% = 7 + 7 + 7 + 3.5
= 21 + 3.5
= 24.5
Let dnbe the number of n-digit positive integers using only the digits 1, 2, 3, 4, 5, 6, or 7 (with repetition permitted), such that no two consecutive digits are even
The nth term of the sequence whose integers are between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹
What are consecutive numbers?
Consecutive numbers are those numbers that succeed each other in increasing order from least to greatest. The numbers that are given:
1, 2, 3, 4, 5, 6, or 7 are all consecutive.Now, suppose a (n) denotes the number of n-digit positive integers as stated in the question, thereby using:
1, 2, 3, 4, 5, 6, or 7 with the permission of repetition; no two consecutive digits are even.Then, the number of n can be computed as n!
= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)
= 1.254 × 10¹¹
Learn more about consecutive numbers here:
https://brainly.com/question/26352026
The nth term of the series of integers is between 1 -7 such that there is the permission of repetition but no two consecutive digits must be even is 1.254 × 10¹¹
What are consecutive numbers?Consecutive numbers are those numbers that succeed by each other in increasing order from lowest to greatest such are 1, 2, 3, 4, 5, 6, or 7.
Now, suppose n represents the number of n-digit positive integers.
1, 2, 3, 4, 5, 6, or 7 with the permission of repetition no two consecutive digits are even.
Then, the number of n can be calculated as n!
= (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)
= 1.254 × 10¹¹
Learn more about consecutive numbers here:
brainly.com/question/26352026
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