With this prism, first separate it into a rectangular prism and a right triangle prism.
First, with the rectangular prism, it would have the units 5 * 5 * 6.3. Then with the right triangle prism, it would take the rest of the remaining space of it, being 3 * 5 * 6.3
The equation for the volume of a rectangular prism is L*W*H and the equation for the volume of a right triangle prism is (L*W*H) / 2.
With this, plug the numbers in for both prisms to get the volume of each of them:
Rectangular prism Volume
5*5*6.3
157.5
Right triangle prism Volume
(3*5*6.3) / 2
94.5 / 2
47.25
Lastly, combine these two values to get the total volume:
157.5 + 47.25 = 204.75 (Round Up) -->
204.8 cm^3 = Total Volume
Surface Area:Next, with the surface area of the prism. For this, lets combine all of the faces of the prism then add them all up.
First, lets do the bottom of the prism, or the base. It uses the lengths 8 cm and 6.3 cm. Lets do L * W to get the area of this face:
8 * 6.3 = 50.4
Next, lets do the slant side of it, which has the lengths 5.8 and 6.3.
5.8 * 6.3 = 36.54
Then, the top side with the lengths 5cm and 6.3 cm.
5.3 * 6.3 = 33.39
After that, the left side face that opposite to the slantly one:
5 * 6.3 = 31.5
Saving the most tedious part of it for last, the right trapezoids. Luckily, there is an equation for this:
1/2 x (Sum of parallel sides) x (perpendicular distance between the parallel sides).
So, within each of these right trapezoids, there's the parallel sides of 5 and 8. There's also a perpendicular side of 5cm. With this, we can plug this into the equation to solve for this part:
1/2 x (5+8) * (5)
1/2 x (13) * (5)
1/2 x (65)
32.5
Since there's two of them, times this by 2:
32.5 * 2 ---> 65.
Now, with the area of all of the faces, these can be added up for the total surface area:
50.4 + 36.54 + 33.39 + 31.5 + 65 ---> 216.83 (Round Down)-->
216.8 cm^2 = Total Surface Area
A fair die is cast four times. Calculate
the probability of obtaining at least two
6's.
Round to the nearest tenth of a
percent.
[ ? ]%
Step-by-step explanation:
You can solve this using the binomial probability formula.You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows:You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008You can solve this using the binomial probability formula.The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.Then, we can set the equation as follows: P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) n=4, x=2, k=2when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)What’s the correct answer??? I will mark as brainlest
Answer: the answer is 10
Step-by-step explanation:
A group of friends are ordering food. The total amount that they can spend on their food bill is $41, including the delivery charge of $6. The equation below represents the situation, where x is cost of each friends meal.
6+ax=41
The cost of each friends meal in terms of a is?
The cost of each friends meal when the number of friends is 5 is $?
Answer:
36
Step-by-step explanation:
Answer:
The first answer is 35.
the second answer is 7.
Step-by-step explanation:
hope this helps you!
Question 9 of 10
Which best describes how to find the length of an arc in a circle?
A. Divide the arc's degree measure by 360°, then multiply by the
circumference of the circle,
B. Divide the arc's degree measure by 360°, then multiply by the
radius of the circle.
C. Divide the arc's degree measure by 180°, then multiply by the
radius of the circle.
D. Divide the arc's degree measure by 180°, then multiply by the
circumference of the circle.
To find the length of an arc in a circle we use (a) Divide the arc's degree measure by 360°, then multiply by the circumference of the circle,
Which best describes how to find the length of an arc in a circle?From the question, we have the following parameters that can be used in our computation:
The length of an arc in a circle
The length of an arc in a circle is calculated as
Length = Angle/360 * Circumference
This is representd by the option (a)
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Why are there so many bots on here?
Answer:
Not sure, It's getting kinda annoying ngl
Step-by-step explanation:
Which statement is true??
click to see the question
If you helped thank you!
Answer:
G
Step-by-step explanation:
G is the only true one
Sam picks corn on his uncle's farm. His uncle pays him $0.40 per basket for the first 50 baskets of corn that he picks in a day and $0.50 per basket for all baskets picked over 50. On Friday Sam picked 120 baskets of corn. How much did he earn?
Answer:
$55
Step-by-step explanation:
Find out the number of baskets paid at $0.5/basket:
Since the first 50 are paid for $0.4, and he picked 130 baskets, we can subtract 50 from 120, giving us 70.
Finding the amount paid at $0.4/basket:
50*$0.4 = $20
Finding the amount paid at $0.5/basket:
70*$0.5 = $35
Total = $55
If , what is the truncation error for S3? 0.610 0.774 1.476 1.640
ANSWER: D
Answer:
D
Step-by-step explanation:
Unit Test Review
The truncation error for S3 is 1.640
The correct option is (D)
What is Truncation error?Truncation error is the difference between a truncated value and the actual value.
Given:
[tex]\sum[/tex](1/4)(9/10)^n = 2.25
For S3, put n= 1 to 3
9/40 + 81/400 + 729/4000
= 900+810+7290/4000
=2439/4000
=0.60975
So, Truncation error= 2.25- 0.60975= 1.64025
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Triangle ABC is reflected over the line y = x. Triangle ABC has points A (-6, -1), B (-2, -1), and C (-5, -6). What is the A' coordinate?
Answer:
(1,6)
Step-by-step explanation:
Because reflecting to x axis u change the position
Select the correct answer.
Which expression gives the area of triangle QRS?
s
15
20°
R
9
O A £19)(15)cos(209)
O B. (11)(15)cos(209)
oc. (9)(15)sin(20°)
OD. £(11)(15)sin(209)
Area of ΔQRS is 1/2×9×15×sin20° which is correct option (C)
What is area of triangle?
Area of triangle is half the product of any two sides and the sine of the included angle.
Area = 1/2.ab.sinC
Area of ΔQRS = 1/2×9×15×sin∅
∵ ∅ = 20°
Area of ΔQRS = 1/2×9×15×sin20°
Hence, area of ΔQRS is 1/2×9×15×sin20°
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Timmy estimated he would spend $9 at the candy store. He went a little over-budget and spent $12. What was the percent error?
[tex]\boxed{ \mathrm{ \% \: error = \dfrac{error}{assumed \: value} \times 100}}[/tex]
[tex]\mathrm{ \% \: error =\dfrac{3}{9} ×100}[/tex][tex]\mathrm{ \% \: error = \dfrac{1}{3} ×100}[/tex][tex]\mathrm{ \% \: error = 33.33 \%}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Find the values of the variables. Then find the length of the sides.
Answer: X= 102
Step-by-step explanation: Hope it helps!!!!
-3, 7 THOSE NUMBERS CUT OFF
WILL GIVE BRAINLIST
Answer: +3
Step-by-step explanation:
5 + (-2) ( + × - = - ) ∴ 5 - 2 = 3
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=26°, and DB = 48 feet. Find the length of BC to the nearest tenth of a foot.
The length of BC Is ___ ft.
Answer:
98.4 feets
Step-by-step explanation:
To obtain BC
we could make use of B as angle, the apply the trigonometric relation :
Tan B =adjacent / hypotenus
Tan B = DB / BC
Tan 26 = 48 / BC
0.4877325 = 48 / BC
BC = 48 / 0.4877325
BC = 98.4 feets
5-64 =
A. -8
B. -4
C. 4 or -4
O D. -16
Solve the proportion 7/5=21/x
Plz I need your help
9) Which of the following shows the Associative Property of Addition
A. (18+41) + 12 = (41 + 18) + 12
B. 18+ 41 = 41 +18
C. 18+ 4) = (10 + 40) + (8 +1)
D. (18+41) + 12 = 18+ [41 +12)
Helpppp
Answer Plz if u got correct plz go to next reward question for 100 pints
Answer:
A) 1320 yeards
Step-by-step explanation:
.25 mile is 440 yards so js multiply by 3
3/4 + 5/8= ?
ignore this it told me to do atleast 20 words in order to ask a question.
Answer:
6/8
Step-by-step explanation:
Luigi recorded the temperature in his garden at diffternt times of the same day
[tex]please tell \: the \: answer[/tex]
Answer:
wdym
Step-by-step explanation:
The ratio of boys to girls in a
group is 7 : 1. If there are 48 more boys
than girls, work out how many girls
there are
Answer:
48+x/x=7/1
48+x=7x
6x=48
x=8
no. of girls = 8
no.of boys= 48+8
= 56
The answer is 8
Answer:
8 girls
Step-by-step explanation:
Ratio boys to girls = 7:1
There area 48 more boys than girls
First lets make an equation
7x - 1x = 48
6x = 48
x = 8
There are 8 girls
Check:
7*x : 1*x =
56 : 8
56 - 8 = 48
Correct
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which set of numbers cannot represent the lengths of the sides of a triangle?
6, 8, 11
7, 5, 6
5, 4, 11
9, 12, 19
9514 1404 393
Answer:
(c) 5, 4, 11
Step-by-step explanation:
The sum of the two short sides must exceed the long side. That is not the case for ...
5 + 4 = 9 < 11
The lengths 5, 4, 11 cannot be a triangle.
Can someone help me with number 7 and 13 ? I graduate in a week an have to have this work done or I will not be graduating
A can of juice is 6 inches high, a base has a diameter of 4 inches . What is the volume of the can? Round to the nearest tenth
The second one is -3
Answer:
what are u talking about
Step-by-step explanation:
Can somebody please help me out please my grads are bad
Answer:
700mm
Step-by-step explanation:
.7 meters = 70cm = 700mm
Answer:
ASK A RABBIT
Step-by-step explanation:
while at a bakery, lester decides to purchase some cupcakes and vrownies to shaee with his friends. He can spend up to $18, and the bakery charges $2 for a cupcake and $1 for a brownie. To ensure thaf he has enough food, Lester wants to buy at least 7 cupcakes and brownies. What system of inequalities describes the situation? x is number of cupcakes and y is brownies
Answer:
X=7
Y=4
Step-by-step explanation:
Which of the following notations correctly describe the end behavior of the polynomial graphed below?
Answer:
Step-by-step explanation:
B. As x approaches negative infinity, f(x) appoaches positive infinity.
As x approaches positive infinity, f(x) approaches negative infinity.
For the given polynomial the end behaviour are -∞ and ∞. The correct option is (B).
How to find the end behaviour for a polynomial?A polynomial is defined as the algebraic expression having all the powers to its terms as whole number. In order to find the end behaviour of a polynomial p(x), determine its value for two cases when x approaches to infinity and minus infinity.
From the graph of the polynomial given in the problem it can be observed as,
As the value of x approaches ∞ , f(x) becomes -∞.
And, as the value of x approaches -∞ , f(x) becomes ∞.
Hence, the end behaviour are given as -∞ and ∞.
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twice a number x divided by 4 is 9
Answer: 18
18 x 2 = 36
36 / 4 = 9
Answer:
2x/4 = 9
x = 18
Step-by-step explanation:
Twice a number x divided by 4 is 9
2x/4 = 9
2x = 36
x = 18