Step-by-step explanation:
a) is really easy, right ?
the surface area consists of 6 rectangles (as you know, every die has 6 sides). they are 3 pairs of equally sized rectangles.
there are 2 rectangles 7×1, 2 rectangles 7×2, and 2 rectangles 2×1
SA = 2×7×1 + 2×7×2 + 2×2×1 = 14 + 28 + 4 = 46 in²
the volume is just length×width×height
V = 7×2×1 = 14 in³
b)
a little bit more difficult, but with a little trick just as easy.
the surface area consists of the 2 circle areas and the mantle "coating".
the area of a circle is pi×r².
we have to be careful as the given 10 ft is the diameter of these circles. the radius is half of it : 5 ft.
the area of the "mantle" we can calculate by imagining we simply slice it open with one straight line from top to bottom. and then we cut it off the two circles and put it flat on the table.
now we see it is just a rectangle. one side is 12ft. the other is the circumference of the previously attached circles.
circumference of a circle is 2×pi×r
so the surface area is 2×circle + (circumference circle)×12
SA = 2×pi×5² + (2×pi×5)×12 = 50pi + 120pi = 170pi =
≈ 534.07 ft²
the volume is one base area (circle) times height
V = pi×5²×12 = 300pi ≈ 942.48 ft³
Is –862 ÷ 1 positive or negative?
Answer:
Negative
Step-by-step explanation:
Answer:
It's negative
Step-by-step explanation:
–862 ÷ 1
= -862
and even remember that if a negative number is divided by positive the answer will be always negative
same applies here
at the mall, myna bought a shirt for 25.36, a hat for 5.09 and a belt for 11.45. how much did she spend altogether?
Answer:
41.90
Step-by-step explanation:
25.36 + 5.09 + 11.45 = 41.90
Answer:
25.36+5.09+11.45= 41.9
Step-by-step explanation:
Calculate the Mean: 24, 27, 31, 21, 27
Answer: 26
Step-by-step explanation:
mean is the same thing as finding the average
you add up all the numbers then divide by the amount of numbers there are
24+27+31+21+27=130
130\5=26
The model shows the expression 30 +12. Which expression is equivalent to thi sum?
Answer:
There are many answers to this question like:
7x6
21x2
84/2
27+15
Step-by-step explanation:
If 30+12=42, all you really have to do is check each answer to see if it either adds up to 42, multiplies to get 42, divides to get 42, or subtracts to get 42.
Answer:
6(5+2)
3(10+4)
Step-by-step explanation:
These are just a couple of equivalent sums, I am assuming this is a sort of short response and not a multiple choose so i believe you can use this.
Select all ratios equivalent to 2:3.
Answer:
12:18 and 10:12 (i think)
Step-by-step explanation:
After converting the given ratios in their simplest form, the equivalent form of 2:3 we get 12:18.
To find the simplest form of a fraction, you have to simplify the numerator and denominator to their lowest terms and keep dividing until you can no longer simplify the fraction any further.
The given ratios are,
12:18,
3:21,
10:12
For the ratio 12:18,
Simplify it by finding the greatest common divisor (GCD) of 12 and 18.
The GCD of 12 and 18 is 6.
By dividing both numbers by 6, we get the smallest ratio of 2:3.
Moving to the ratio of 3:21,
Find the GCD of 3 and 21, which is 3.
Dividing both numbers by 3 results in the smallest ratio of 1:7.
Find the smallest ratio for 10:12.
The GCD of 10 and 12 is 2.
Dividing both numbers by 2 gives us the smallest ratio of 5:6.
Hence, the simplest form of ratios for the given ratios are:
12:18 = 2:3,
3:21 = 1:7,
10:12 = 5:6.
Hence,
The ratio equivalent to 2:3 is 12:18.
Learn more about the ratio visit:
https://brainly.com/question/12024093
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The figure below shows a rectangle or prism and a cube how many cubes are required to completely packed a prism without any gaps or overlaps
Answer:
should be 16
Step-by-step explanation:
please help me with this
Find the number that makes the ratio equivalent to 35:42
16
Answer:
5:6
Step-by-step explanation:
35:42
42/ 6 = 7
35/7 = 5
Answer:
35:42
Step-by-step explanation:
Help me mateee or person
Help me Guess just help please
I am literally struggling lol
Answer:
The blank space is 2.
Answer:
2
Step-by-step explanation:
9*22 = 198
(9*20) + (9*2)
= 180 + 18
= 198
In complete sentences, describe how Spain established territorial claims in the Caribbean and South America. Include these terms in your answer: Christopher Columbus, conquistadors, Hernán Cortés, Francisco Pizarro.
PLEASE help me
3 fewer than a number squared and four
Answer:
([tex]n^{2}[/tex]+4)-3
Step-by-step explanation:
since it says "and four" i think it means it is in parenthesis
Answer:
n^2 + 1
Step-by-step explanation:
Let the unknown number be n. Then "a number squared and four" is
n^2 + 4, and 3 fewer than this result is
n^2 + 3 - 3, or n^2 + 1
Which fraction equals the ratio of rise to run between points (0, 8) and (-4, 3)?
Answer:
y = 5/4x + 8
Explain Your Answer
Find the unit rate.
20 seats in 4 rows =
seats per row
Answer:
8 should be the answer
Step-by-step explanation:
I beg you, HELP MEEEE!!!!! One spinner is divided into four equal sections numbered 1 to 4. A second spinner is divided into five equal sections numbered 5 to 9. How many total outcomes are there if both spinners are spun?
13
9
20
36
Answer:
9 is the correct answer
Can somebody help me with questions 11 and 12 I’ll appreciate it!
Given that |-6| > 3, which statement is not true?
-6 is farther from 0 than 3 is on the number line.
6 > 3
3 > -6
-6 is greater than 3.
Answer:
-6 is greater than 3.
Step-by-step explanation:
-6 is less than 3
Answer the question in the pic pls. Don’t answer unless you are sure if your answer
Answer:
its 20
Step-by-step explanation:
The student council is making and selling square patchwork quilts to raise money for the homecoming dance. Which of the following number of squares can be used to create a square patchwork quilt? Justify your answer using three complete sentences.
A. 35 B. 84 C. 64 D. 18
Answer:
64
Step-by-step explanation:
For the area of the quilt to be square, the number of "Squares" must be a square number. You must be able to take the square root and get an integer
35 is not a perfect square
84 is not a perfect square
64 is a perfect square sqrt(64) = 8
Answer:
the awnser is simply B. 84
Step-by-step explanation:
3/2 = 5d - 1/2
solve for d
Answer:
D = 2/5 or 0.4
Step-by-step explanation:
3/2 = 5d - 1/2
move the terms
3/2 - 5d = -1/2
calculate the difference
-5d = -2
divide both sides by -5
2 = 2/5
Which number has a 9 that is 1/10 the value of the 9 in 296?
195
409
981
1,956
Answer:
409
Step-by-step explanation:
This is very easy. First of all you need to workout out 1/10 of the value of the 9 in 296. The value of the 9 in 296 is 90.
1/10 of 90 is 9 (since 1/10 x 90 = 90/10 = 9)
The only number which has 9 as its final digit is 409
Simplify the expression.
[tex]( \frac{1}{4} gh) ^{3} = \frac{ {g}^{3} {h}^{3} }{64} [/tex]
I hope I helped you^_^
Answer:
((1/4g)(h))^3
=1/64 g^3 h^3
Step-by-step explanation:
Circle question of the rug
That you needed answer for is ;
3/4 pi^2
Step-by-step explanation:
Proof 1/4 pi r^2
We can state the radius of small rug is 3ft
to show Area pi 3^2 = pi 9
If the large rug is 3x this size
then pi 9^2 = pi81
So the ratio here is 1 : 9 when 3 cm or 1 : 3 radius
Ratio is 1 : 9 when 1cm or 1 : 3 radius
When 1 : 9 cm when 5cm or 1 : 3 radius
So if we are considering an expression of the larger rug
that shows 3: 1 more radius to that of the small.
1/4 pi^2 becomes 3/4 pi^2 of the smaller rug
As this is 3 x 1/4 pi^2 we show 3/4pi r^2
I WILL MARK AS BRAINLIEST! Simplify
Answer:
a) -98
b) -12
c) -105
d) -46
I WILL MARK BRAINLIEST! Solve for X
Answer:
Step-by-step explanation:
You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional. So set up two ratios that are = to each other
On the left
long side small triange / long side large triangle = base small triangle / base large triangle
On the right
hypotenuse/longest leg = hypotenuse / longest leg.
Problem A
Set up the similar Proportion
5/40 = x/20 Cross Multiply
40x = 20*5
40x = 100 Divide by 40
x = 100/40
x = 2.5
Problem B
Again set up the similar triangle proportion
15/10 = x/2 Multiply by 2
15*2/10 = x
3 = x
A number has many factors including 3 and 8. What other number must also be a factor of the same number?
Two "factors" are multiplies together to product another number (the product). So, for example, the prime factors of 10 are 2 and 5. Prime factors that, themselves, have only factors of 1 and themselves. Non-prime numbers, like 10, have prime factors. Note that 1 is a factor of all integers.
If the two factors are equal (the same), like 4*4=16, then each of them is called a "square root."
Note: a cube root is one of three equal factors of a number, for example, 2 is the cube root of 8 (that is, 2*2*2=8).
Practice:
What is the square root of 49?
What is the square root of 100?
What is the square root of 625?
Memorize the squares of the numbers from 1 to 10, or 1 to 20 -- that will be very helpful in math classes.
Answer:
72
Step-by-step explanation:
Complete both Part A and Part B.
Part A:
Jason buys a pair of pants for $28.97, a top for $12.82 and a scarf for $9.18. He has a gift card worth $75. If the sales tax on the purchase is $3.19, what is the total of his purchase?
Part B:
Will he have enough money left to buy a hat for $27.15?
Explain your answer.
I WILL MARK AS BRAINLIEST! Simplify
Answer:
a) -42
b) -23
c) -100
d) 45
Answer:
a) | -29 - 13 | = 42
b) | 39 - 62 | = 23
c) | -59 - 41 | = 100
d) | -26 + 71 | = 45
Remember, absolute value refers to a number's distance from zero on the number line, without taking direction into account. A number's absolute value can never be negative.
Hope this helped! :)
How can you use 5, 5, 5, 5, to make 24 using addition, multiplication, subtraction, or division, but without using other numbers.
Step-by-step explanation:
5×5×5=125
125-5=120
120÷5=24
Step-by-step explanation:
please helpp me i'm kinda not smart in da head
Answer:
the answer would be C.
Step-by-step explanation:
C is your answer
Answer:
answer b
Step-by-step explanation: