A rectangular box is 40 cm wide and 36 cm high. If the surface area of the box is 7440 square centimeters, find the length of the box.
Answer:
The length of the rectangular box is 30 centimeters.
Step-by-step explanation:
Let suppose that rectangular box is closed. The rectangular box is represented by a parallelepiped, whose surface area ([tex]A_{s}[/tex]), measured in square centimeters, is defined by the following formula:
[tex]A_{s} = 2\cdot (w\cdot h + w\cdot l + h\cdot l)[/tex] (1)
Where:
[tex]w[/tex] - Width, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
[tex]l[/tex] - Length, measured in centimeters.
If we know that [tex]A_{s} = 7440\,cm^{2}[/tex], [tex]w = 40\,cm[/tex] and [tex]h = 36\,cm[/tex], then the length of the rectangular box is:
[tex]2880 +80\cdot l + 72\cdot l = 7440[/tex]
[tex]152\cdot l = 4560[/tex]
[tex]l = 30\,cm[/tex]
The length of the rectangular box is 30 centimeters.
Verbally describe what each ordered pair in the first row of your table (when s = 10) means in terms of the situation. Use complete sentences in your answer.
The description of what each ordered pair means is; as described below
How to interpret Ordered Pairs?The table is missing but from online sources, we can say the following;
An ordered pair such as (2,4), is a short form of writing two variables, such as x = 2 and y = 4. The order of the numbers in the pair is important because x always comes before y.
An ordered pair is simply a composition of the x coordinate called abscissa while the y coordinate is called the ordinate.
Thus, the Ordered Pair is (x,y)
Where,
x is the distance measure of a point from the primary axis "x"
y is the distance measure of a point from the secondary axis "y"
In the Cartesian plane, the point where the two lines meet at “0” is the origin.
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Consider this solution to a problem.
Problem: -4(6-y)+4=-4
Step 1: -24-4y+4=-4
Step 2: -20-4y=-4
Step 3: -4y = 16
Step 4: y=-4
In the first response box, enter the number of the step where the mistake is made.
Step:
In the second response box, enter the correct solution to the problem.
Answer:
1. The mistake was the sign that was put negative instead of positive.
2. y = 4
Step-by-step explanation:
In the first response box, enter the number of the step where the mistake is made.
Step:
The mistake is on step 1: This is the distributive property, however it was distrubuted wrong since the signs were used wrong.
-4(6-y)+4=-4 does not equal -24-4y+4=-4
The reason is because -4 x -y is not equal to -4y because negative x negative = positive. So, it's equal to +4y.
In the second response box, enter the correct solution to the problem.
Problem: -4(6-y)+4=-4
Step 1: -24 + 4y + 4 = -4 (Distributive Property Of Equality)
Step 2: -20 + 4y = -4 (Combine Like Terms)
Step 3: 4y = 16 (Addition Property Of Equality)
Step 4: y = 4 (Division Property Of Equality)
Please help 15 points
Answer:
12 %
Step-by-step explanation:
3/25 = 0.12
0.12 x 100 = 12
Answer:
12%
Step-by-step explanation:
3/25=0.12
0.12 turnes into 12%
Please answer number 3 please
Answer:
3.
a) False
b) False
c) False
d) True
e) False
Answer: FALSE, FALSE, FALSE (there is a bar under the > sign which means it can be equal), TRUE, FALSE (if 34 is the solution then it equals x, and that number would be multiplied by five and added to one, which is well over 35)
I need help with this geometry question
state if each pair of ratios forms a proportion 4/3 and 16/12 help me
Answer:
if you multiply 4/3 by 4/4 you get 4/16.
Step-by-step explanation:
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if I use the bathroom 17 times then I use the bathroom 5 more times how many times have I gone to the bathroom
Answer:
22
Step-by-step explanation:
17+5
Answer:
you have a whiz problem LOL
Step-by-step explanation:
what is-56 divided by +7 ?
Answer:
-8
Step-by-step explanation:
flocabulary multplying fractions
Answer:
don't know what you need
Step-by-step explanation:
A car's odometer read 78,354 miles after 2 hours. It read 78,468 miles after 4 hours. What was the car's average speed in miles per hour?
Answer:
.
Step-by-step explanation:
The two figures are similar. Identify the similar sides, and then write the similarity statement. Fill in each blank, then complete the sentence by explaining your reasoning.
• AB is similar to ____ because:
• AC is similar to ____ because:
• CB is similar to ____ because:
Step 2: Write the similarity statement.
Answer:
- AB is similar to YZ because all the sides from triangle ABC got multiplied by 3/4, and 40 times 3/4 = 30.
- AC is similar to YX because 50 times 3/4 = 37.5.
- CB is similar to XZ because 60 times 3/4 = 45.
hope this helps!
Emma Drew 13 hearts and 20 circles what is the ratio of hearts to all shape
9514 1404 393
Answer:
13 : 33
Step-by-step explanation:
hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33
A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°.
How long is the dart in the air? Round to the nearest tenth
A. 0.7
B. 0.8
C. 1.5
D. 1.6
Answer:
D
Step-by-step explanation:
Plugged it into a projectile motion calc, got 1.58. So 1.6 (rounded).
please help i will give barinliest
find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below
What is the coordinate where x=-1 ?
What is the coordinate where x=2?
What is the rate of change between those two points?
Hello!
Find the coordinate where x = -1:
At x = -1, y = 1, so the coordinate is (-1, 1).
Find the coordinate where x = 2:
At x = 2, y = -2, so the coordinate is (2, -2).
Find the rate of change between the points using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the coordinates above:
[tex]slope = \frac{-2-1}{2-(-1)}[/tex]
Simplify:
[tex]slope = \frac{-3}{3} = -1[/tex]
Thus, the rate of change between the points is -1.
Michael has 12 yards of yellow fabric and 6 yards of purple fabric. how many inches of yellow and purple fabric does Kelly have.
Answer:
648 inches
Step-by-step explanation:
12 + 6 = 18 yards
there are 36 inches in 1 yard
so there is 648 inches in 18 yards
Answer:
she has 18 yards of fabric all together
brainlist if you help me fill out table
Answer:
2.0 and 4.8
Step-by-step explanation:
each 5 is adding 0.4 and each 10 is adding 0.8. if you take the 20 and the number 1.6, multiply those by 3, and you will get 4.8 for the slot 60. for the slot 25, just add 0.4 to 1.6. hope this helped :)
the sides of a triangle can be represented by 2x, 4x-7, 16+x. If the perimeter is 65, whats the length of the shortest side of the triangle?
Jaiden walked 2 1/2 miles to his friend's house. Miya had to walk 4 3/8 miles to the same friend's house. How many times the length of
Jaiden's walk was Miya's walk?
Answer:
Jaidens walk was 2 4/8 miles long and
Miyas walk was 4 3/8 miles long so
Miyas walk was 2 1/8 mile longer than Jaidens
Step-by-step explanation:
what is the remainder when 849,400 is divided by 216
Answer:
The remainder is 88
Step-by-step explanation:
The Remainder of a Division
We have to find the remainder when we divide 849,400 by 216.
It could be found by doing the long division, but we'll do it with a calculator.
Entering the division in the calculator we get:
849,400/216=3,932.4074...
We take the whole part of the quotient (3,932) and multiply it by the divisor:
3,932*216=849,312
The remainder is obtained by subtracting 849,400-849,312=88
The remainder is 88
manda made $270 for 18 hours of work. At the same rate, how many hours would she have to work to make $165?
Please answer the geometry question
Answer:
300 feet
Step-by-step explanation:
Which system of linear equations appears to have a solution of (3,0)?
Answer:
C
Step-by-step explanation:
82 - 2x - 10 factor each polynomia
l
what is 7.42 divded by 1.75
Answer:
4.24
Step-by-step explanation:
the calculator says otherwise (but yea its 4.24
About 5% of the surface area of the U.S. is water. What decimal represents the amount of the U.S. surface area taken up by water?
This is the last question on my homework whoever answers gets brainliest :)
Answer:
.05
Step-by-step explanation: .5 would be 50%
Ali’s paycheck totaled $306.25. If he was paid $12.50 per hour, how many total hours did he work?
Answer:
24.5 hours
Step-by-step explanation:
To figure out thsi problem, divide 306.25 by 12.50. You will get 24.5. Ali's paycheck indicates that he worked 24 and a half hours.
NEED AN ANSWER QUICKK Ayo and Ria are both travelling by train.
Ayo's train travels 90 km in 50 minutes.
Ria's train travels 476 km.
It leaves at 14:05 and arrives at 17:35.
Work out the difference, in km/h, between the average speed of their trains.
Answer:
28
Step-by-step explanation:
I guessed it right on hegarty maths and this was the answer
Convert the following recipe for 12 portions so that it yields 60 portions.
Stir Fried Chicken
3 lb chicken 6 oz. soy sauce 1 lb. green peppers
1/2 lb. scallions 2 oz ginger
2 cups Water
Answer:
15lb chicken 30 oz. soy sauce 5lb. green peppers
2 1/2 lb. scallions 10 oz. ginger
10 cups Water
To make 60 proportions of Stir Fried Chicken requires 15lbs of chicken,
30 oz of soy sauce, 3 lb. green peppers, 5/2 lb scallions, 10 oz ginger, and 10 cups Water.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given 12 portions of Stir-Fried Chicken requires 3 lb chicken 6 oz.
soy sauce 1 lb. green peppers
1/2 lb scallions
2 oz ginger
2 cups Water.
∴ To make 60 proportion or (12×5) proportion we have to multiply each ingredient by a factor of 5.
So, 60 proportions of Stir-Fried Chicken requires (3×5) = 15lbs of chicken,
(6×5) = 30 oz of soy sauce, (1×3) = 3 lb. green peppers, (1/2×5) = 5/2 lb scallions, (2×5) = 10 oz ginger and (2×5) = 10 cups Water.
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