Answer:
290in
Step-by-step explanation:
A right prism has height 8 and triangular bases with sides of length 7, 8, and 9. What is the: Total surface area of the prism?
Answer:
the total surface area of the prism is 245.67
Step-by-step explanation:
Given;
height of the triangular prism, h = 8
length of the triangular bases, = 7, 8, and 9
The total surface area of the prism is calculated as;
T.S.A = ph + 2B
Where;
p is the perimeter of the base
B is area of the base
P = 7 + 8 + 9 = 24
Area of the base can be calculated using Hero's formula;
[tex]S = \frac{7+8+9}{2} = 12\\\\Base \ area (B) = \sqrt{12(12-7)(12-8)(12-9)} = 26.833[/tex]
T.S.A = (24 x 8) + 2 x 26.833
T.S.A = 192 + 53.666
T.S.A = 245.67
Therefore, the total surface area of the prism is 245.67
A parallelogram is shown below:
A parallelogram ABCD is shown with DC equal to 9 feet and the perpendicular distance between AB and DC equal to 8 over 9 foot.
Part A: What is the area of the parallelogram? Show your work. (5 points)
Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
Answer:
a). Area of the parallelogram = 8 cm²
b). Area of both the triangles = 4 cm²
Step-by-step explanation:
a). Area of the given parallelogram ABCD = Base × Height
= DC × (Vertical distance between
AB and DC)
= 9 × [tex]\frac{8}{9}[/tex]
= 8 ft²
b). If we decompose this parallelogram into two triangles ΔABC and ADC by a diagonal AC,
Area of both the triangles will be equal.
(Since, diagonal of a parallelogram divides the parallelogram into two equal triangles)
Therefore, area of ΔABC = Area of ΔADC = 4 ft²
Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem:
Maximize contribution = 5X1 + 4X2 + 3X3
Subject to: 1X1 + 7X2 + 4X3 <= 90 (hours on machine 1)
2X1 + 1X2 + 7X3 <= 96 (hours on machine 2)
8X1 + 4X2 + 1X3 <= 90 (hours on machine 3)
X1, X2, X3 >=0
Determine the optimal solution using LP software. the optimal achieved is
X1=
X2=
X3=
Answer:
Step-by-step explanation:
[tex]\text{Maximize p = 5X1 + 4X2 + 3X3 subject to;} \\ \\ 1X1 + 7X2 + 4X3 <= 90[/tex]
[tex]2X1 + 1X2 + 7X3 <= 96[/tex]
[tex]8X1 + 4X2 + 1X3 <= 90[/tex]
[tex]X1 > = 0[/tex]
[tex]X2 >= 0[/tex]
[tex]X3 >=0[/tex]
[tex]\text{USing LP software, The Optimal Solution: Maximum Contribution} = 90.547;}\\ \\ x1 = 7.07692, \\ \\ x2 = 5.62393, \\ \\ x3 = 10.8889[/tex]
Write a detailed savings plan for Sookie to meet her goal ?
Vertical angles are equal in measure.
always
sometimes
O never
Answer:
Always
Step-by-step explanation:
Thank you have a great day
In the linear equation y = -6x - 4, the y-intercept is:
-6
6
-4
4
Answer:
The second one
4/5 is next to x
And the y intercept is NEGATIVE 6 or (-6)
Step-by-step explanation:
Is KLMN below a rectangle?
What is the horizontal asymptote of the function g(x)= 3(0.8)^x +6
Consider the expression
10x2 + 5x – 25.
What is the GCF (greatest common factor)?
Answer:
5
Step-by-step explanation:
Answer:
Its def 5, My calculations are never wrong
Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a heart and then, without replacement, a spade? Express your answer as a fraction or a decimal number rounded to four decimal places
Answer:
[tex]\frac{13}{204}[/tex] ≈ 0.0637
Step-by-step explanation:
Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.
To find: probability of choosing a heart and then, without replacement, a spade
Solution:
Probability refers to chance of occurrence of any event.
Probability = Number of favorable outcomes ÷ Total number of outcomes
Total number of cards = 52
Number of hearts = 13
So,
probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]
Number of remaining cards = [tex]52-1=51[/tex]
Number of spades = 13
Probability of choosing a spade = [tex]\frac{13}{51}[/tex]
Events consisting of choosing a heart and spade are independent.
So,
Probability of choosing a heart and then, without replacement, a spade =
Probability of choosing a heart × Probability of choosing a spade
= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637
f(x) = - 3/5 * x + k, If f(30)=^ - 11 , what is the value of k?
X = 30. Plug thirty into the equation to get -11 = -30 + k. Add 30 to both sides to get 19 = k.
K = 19
Did this help You?----> Yes Or No ?
I need these three, I’ll give brainliest
A. E+17-1=2x. b. R0 + x=12 C. 13= x-1+15+10-1 divided by 10=24
hope this helps!!
and I hope you understand it lol!
Questions in the attachments
Thank you to whoever answers :)
Answer:
A.
C.
D.
That should be the answer.
Hopefuly that helped.
p-value for p = 0.23 is closest to: 0.006 or 0.40?
Answer:
0.40 I'm pretty sure tbh
what is the value of m when m/2=4.8
Answer: 9.6
Step-by-step explanation:
You need to isolate the m and in order to do that then you have to multiply both sides by 2
So m/2 x 2 = m
4.8 x 2 = 9.6 which is the answer
Answer:
m = 9.6Step-by-step explanation:
m/2 = 4.8
m = 4.8×2
m = 9.6
solve for x
please help
Answer:
your answer will be X=11.1
hope it helps you ...
Question 5. What is the mean of 51, 60, 80, 32, 47, 30 * A.50 B.6 c. 60 D40
Answer:
A (50)
Step-by-step explanation:
Mean is the total numbers added up divided by the # of numbers.
There are 6 numbers.
51 + 60 + 80 + 32 + 47 + 30 = 300
300/6 = 50
Therefore, the answer is A.
Answer:
A
Step-by-step explanation:
Because to find the mean you add up all the numbers.
51+60+80+32+47+30=300
Then your suppose to divide by the sum.
300/6=50
Anyone can help with this
Answer:
C
Step-by-step explanation:
Notice how C is the only function that is quadratic. If you expand (2x-1)^2, you get 4x^2-4x+1. Since x is raised to the power of two, it isn't linear, but quadratic.
Answer:
C
Step-by-step explanation:
i used photomath and C was not the linear one!
Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds
12 more seashells on the beach, Katie can use fractions of days to find seashells.
Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells,
Graph the solution set to this inequality.
1
0 1 2
3
4
5
6
7
8
9
10
He
Answer:
your answer will be [tex]d\geq 5.5[/tex]
Step-by-step explanation:
hope it helps
66 + 2bc – 46; b= 10, c=5
Answer:
120
Step-by-step explanation:
66 + (2* 10*5)- 46
66+20×5−46
66+100−46
166−46
= 120
Brainlist Pls!
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
66 + 2bc - 46= 66 + (2 × 10 × 5) - 46
= 66 + 100 - 46
= 166 - 46
= 120
Hope it helps you,
Mark me brainliest plz....
Follow me! :)
plz help. 100 points!!!
Answer:
I think you need to subtract by whatever you divide it by.
Step-by-step explanation:
^^^
Answer:
I AGREE!! :))
Step-by-step explanation:
Branliest to correct answer please explain how you solved it
Answer: it is a.
Step-by-step explanation: because I'm smart.
Answer: 2% or 3%
Most likely 2%.
Step-by-step explanation:
There’s a 20 sided dice and 100÷20=5
but you have to think of it as 26
2% x 26= 0.52 make 0.52 a 52 and take off the 2 from 52 and make it your answer, 2%
thats what I came up with and gathered after some tests on a normal online calculator that doesn‘t do remainders.
Chris and Pat worked the same number of days and earned equal amounts of money, Chris earned a rate of $75 per day. Pat earned a rate of $50 per day and
received a honus of $125 How many days did each of them work
Answer:
A, 5 days
Step-by-step explanation:
Let's set the number of days as x. Then, the amount of money each person earned is:
Chris: 75 * x
Pat: 50 * x + 125
Then, because these are equal amounts,
75x = 50x + 125
Subtract 50x from both sides.
25x = 125
Divide both sides by 25.
x = 5
So, they worked for 5 days, or option A.
The number of calories in fruit smoothies varies from brand to brand. The population distribution of calories is strongly skewed to the right. The central limit theorem says that:___________
a. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is exactly Normal.
b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.
c. as the number of brands of fruit smoothies increases, their average calorie count gets ever closer to the mean μ for all fruit smoothies of this type.
d. the average amount of calories of a large number of fruit smoothie brands has a sampling distribution with the same shape (strongly skewed) as the population distribution.
e. the average calorie count of a large number of fruit smoothie brands has a sampling distribution with a similar shape but not as extreme (skewed, but not as strongly) as the population distribution.
Answer:
b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Applying to this question:
The distribution of the number of calories in fruit smoothies is strongly skewed to the right. However, in a sample with a large number of fruit smoothies, the sampling distribution will be approximately normal, so the correct answer is given by option B.
Answer:
B
Step-by-step explanation:
Which point is a solution to the system of inequalities below?
x+2y<1
x-4y>7
A (-4,-1)
B (2,-3)
C (3,-1)
D (4,-1)
Answer:
Hello I'm not to sure but I think A and B but I'm not sure
Step-by-step explanation:
PLS HELP 2772288282 PlsPLA PLASS
Step-by-step explanation:
I think it'S right......
I’ll give points and brainalist for answer / explanation
Answer:
B. 48 cm²Step-by-step explanation:
The area between the concentric circles:
A = π(R² - r²)If we tale π ≈ 3, we know R = 5 cm, we see r = R - 2 = 5 - 2 = 3 cm, then
A = 3(5² - 3²) = 3(16) = 48 cm²Correct choice is B
A rectangular sheet of metal measures 8 inches by 10 inches. The metal is worth $3.00 per
square inch. How much is the sheet of metal worth?
Answer:
240$$
Step-by-step explanation:
find the area
A=LW
A=8x10
A=80
80x3=240
What are the x-intercepts of the graph of y = x + 7x + 10?
O A. (5,0) and (2.0)
O B. (-7,0) and (-10,0)
O c. (7,0) and (10,0)
O D. (-5,0) and (-2, 0)
Answer:
D
Step-by-step explanation:
I hope this helps a bit.
What is the correct order of operations? *
PEMDAS
O MDPASE
ASPEMD
PASEMD
HELPPPPPPP
Answer:
PAMDAS
Step-by-step explanation:
PEMDAS
hope it helps !
