Solution:
We know that:
[tex]L = 13 \ feet[/tex][tex]B = 14 \ feet[/tex][tex]H = 9 \ feet[/tex][tex]Surface \ area = 2LB + 2BH + 2LH[/tex]
Step-1: Substitute the length, breadth, and height.
[tex]Surface \ area = 2LB + 2BH + 2LH[/tex]=> [tex]Surface \ area = 2(13)(14) + 2(14)(9) + 2(13)(9)[/tex]Step-2: Find the surface area.
=> [tex]Surface \ area = 2(13)(14) + 2(14)(9) + 2(13)(9)[/tex]=> [tex]Surface \ area = 364 + 252 + 234[/tex]=> [tex]\bold{Surface \ area = 850\ feet^{2}}[/tex][tex]\\ \rm\Rrightarrow TSA=2(LB+BH+LH)[/tex]
[tex]\\ \rm\Rrightarrow TSA=2(126+117+182)[/tex]
[tex]\\ \rm\Rrightarrow TSA=850ft^2[/tex]
Below is a diagram of a rabbit tunnel in the shape of a triangular prism.
What is the volume of the tunnel?
Answer: 412.5cm cubed
Step-by-step explanation:
Volume of a prism: area of base ( in this case it’s the triangle) times the height
First: half x 90 x 120 = 165
Then times the height
So, 164 x 2.5 = 412.5
The volume of the given pyramid will be 1.35m³.
What is a pyramid?
Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.
A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.
The volume of a pyramid is given by
Volume = (1/3)base²×height.
Volume = area of cross-section × length
Given,
Area of cross-section = area of the base (triangle)
Since the area of the triangle = (1/2)base×height
So,
Area of cross-section = (1/2)1.20×0.90 = 0.54 m²
So,
Volume of pyramid = 0.54 × 2.5 = 1.35 m³.
Hence " The volume of the given pyramid will be 1.35m³".
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On a piece of paper, use a protractor to construct a triangle with angle measures of 100° and 30°.
Which statements about this triangle are true?
Select all correct answers.
The third angle measures 50°
The third angle measures 90°
The third angle measures 130°
All sides have different lengths.
Two sides have the same length,
The third angle measures 50° and all sides have different lengths.
What is a triangle?A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene and right angled.
The sum of angles in a triangle is 180 degrees.
A triangle with angle measures of 100° and 30°, let x represent the third angle, hence:
x + 100 + 30 = 180° (sum of angles in a triangle)
x = 50°
Also, all sides have different lengths since all the angles are different.
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Answer:
The third angle measures 50°.
The third angle measures 50°.
Nikke has a set of 5 cards numbered 1 through 5. She shuffles the cards at random she repeats the process several times and records the results in the table below based on her results what is the experimental probability of choosing a 1?
Answer:
20%
Step-by-step explanation:
Ahmad is choosing a password to access his teacher’s web page. He must choose a capital letter and three non-repeating digits from 0 through 9. The letter can be in any position in the password. Which shows part of the sample space for Ahmad’s password?
Answer:
its a or the A135 one
Step-by-step explanation:
because the last 2 have a lower case or no letter and the second one is wrong for no reason so it has to be a or the 135
Answer:
A!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Plss help mee
you need to show your work
At the school's fall bake sale, all of the pies were cut into 6 pieces, so each person who bought a piece bought 1/6 of a pie. Each slice of pie sold for $1.00. How much money did the school make if all eleven pies were sold? (In other words, find 11 divided by 1/6 .)
Answer:
$66
explanation:
1/6 of a pie costs $1
11 divided 1/6
11 ÷ 1/6
11 * 6
$66
The school earned total: $66
Answer:
2 ⅓
Step-by-step explanation:
division is the same as a fraction
the dividend is the numerator and the divisor is the denominator
7÷3 is the same as 7/3
change 7/3 into a mixed number which is 2 ⅓
Which of the following decimals is equivalent to 5%?
A. 500
B. 5
C. 0.5
D. 0.05
Answer:
D
Step-by-step explanation:
0.05 is equivalent to 5%
Hope that helps!
find the total of 2/8 and 2/3
Answer:
11/12 you have to find a common denominator first and that is 12
Can you help me please
Step-by-step explanation:
4/5x-3=3/10x+7
We move all terms to the left:
4/5x-3-(3/10x+7)=0
Domain of the equation: 5x!=0
x!=0/5
x!=0
x∈R
Domain of the equation: 10x+7)!=0
x∈R
We get rid of parentheses
4/5x-3/10x-7-3=0
We calculate fractions
40x/50x^2+(-15x)/50x^2-7-3=0
We add all the numbers together, and all the variables
40x/50x^2+(-15x)/50x^2-10=0
We multiply all the terms by the denominator
40x+(-15x)-10*50x^2=0
Wy multiply elements
-500x^2+40x+(-15x)=0
We get rid of parentheses
-500x^2+40x-15x=0
We add all the numbers together, and all the variables
-500x^2+25x=0
a = -500; b = 25; c = 0;
Δ = b2-4ac
Δ = 252-4·(-500)·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ−−√=625−−−√=25
x1=−b−Δ√2a=−(25)−252∗−500=−50−1000=1/20
x2=−b+Δ√2a=−(25)+252∗−500=0−1000=0
Which number below is a prime number?
a
O A. 76
B. 79
C. 100
D. 66
Answer:
79
Step-by-step explanation:
↓ Define Prime number ↓
Prime number ⇒ A positive integer that has no positive integer divisors other than 1 and itself. To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number.
Solve:
76 is not a prime number. The number 76 is divisible by 1, 2, 4, 19, 38, 76.
79 is a prime number. The number 79 is divisible only by 1 and the number itself.
100 is not a prime number. The number 100 is divisible by 1, 2, 4, 5, 10, 20, 25, 50, 100.
66 is not a prime number. The number 66 is divisible by 1, 2, 3, 6, 11, 22, 33, 66.
Hence 79 is a prime number
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Hii I really need help determining the y intercept of the line.
So what's they?
X intercept is the co-ordinate where the line crosses x axis ,
Y intercept is the co-ordinate where the line crosses y axis
So
X intercept (-10,0)Y intercept (0,-45)Find the GCF of 12a^5 and 38a^4b^2.
Answer:
Procedures:
1.) The GCF of a number is the greatest factor/number that you can divide from all the numbers.
2.) The GCF of an exponent is the least value.
ANSWER: 12a² and 38a⁴b²
GCF = 2a²
Factored Form = 2a²(3+19a²b²)
I need Help plz !? I don’t understand
4x-40+104 = 180
4x+144 = 180
subtract 144 from both sides
4x = 36
divide both sides by 4
x = 9
4 = 2/9 (4y - 2)
solve and show work
Between what two ten thousand 105,159 is between
Answer:
110,000
Step-by-step explanation:
You have a credit card that has a balance of $3850 at an APR of 13.99%. You plan to pay $300 each month in an effort to clear the debt quickly. How many months will it take you to pay off the balance?
Answer:
about 14 months
Step-by-step explanation:
Questions regarding loan payments, values, interest amounts, number of payments, and so on, are conveniently answered by the financial formulas available in many apps, calculators, and spreadsheets. Here, we want to solve for the number of payments.
__
The time-value-of-money app on a TI-84 calculator tells us the number of monthly payments is 13.98. It will take about 14 months to pay off the credit card balance.
__
Alternate solutions
You can also use a graphing calculator to find the time value needed in the amortization formula that corresponds to a monthly payment amount of $300 on a loan of $3850 at 13.99% interest compounded 12 times per year. This is shown in the second attachment.
The algebraic solution is a little messy, and involves logarithms, but you can solve it that way, too.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
gives the monthly payment A on a loan of principal P at annual rate r compounded n times per year for t years. We want to find the value of nt for P=3850, A=300, r=0.1399, n=12.
Putting in the numbers, we get ...
300 = 3850(0.1399/12)/(1 -(1 +0.1399/12)^(-nt))
(1.011658333...)^(-nt) = 0.8503847222... . . . . isolate nt term
nt = -log(0.8503857222...)/log(1.011658333...) ≈ 13.982213...
Which of the binomials below is a factor of this trinomial?
x^2 + 14x + 40
A. x + 4
B. x^2 + 4
C. x + 10
D. x - 9
Answer:
A , C
Step-by-step explanation:
x² + 14x + 40 = ( x + 4 )( x + 10 )
main formula: x² + ( a + b )x + ab = ( x + a )( x + b )
If mR = 2x2 - 7°, mS = 4x2 - 6x + 40°, and mT = 18x + 3°, what is mR?
A.
11°
B.
43°
C.
25°
D.
65°
Answer:
its C
Step-by-step explanation:
I need help quickly please
Answer:
Step-by-step explanation:
what is the value of the expression below (8^1/2)^2
Answer:
8
Step-by-step explanation:
The square of a number square rooted is the number itself.
What is the average rate of change of the function in the table at the interval x = -1 to x = 1?
Answer:
the answer is undefined
Step-by-step explanation:
If a function, f(x), is continuous (that is, has values for every x in the interval) from x=- 1 to x=1 ), then the average rate of change is:( total amount that f(x) changes ) / (total amount that x changes)( f(1) - f(-1) ) / ( (1) - (-1) )( f(1) - f(-1) ) / 2The variable x changes from (-1) to (1). That value is 2. [note: (1)-(-1) ]The function changes from f(-1) to f(1). You must determine f(1)-f(-1) and use that value as the numerator.Fill in the values to determine the average rate of change: ( f(1) - f(-1) ) / 2However, if the plot of y values is not a function, and there is some x value between -1 and 1 for which f(x) is undefined, then the rate of change of y from f(-1) to f(1) is also undefined.
7. What is the precision of the measurement 4 quarts?
0.1 quarts
4 quarts
O 1 quart
O 10 quarts
martin divides a shape into 3 equal parts. what unit fraction can he write to represent 1 part
1 part = 1/3
1/3 + 1/3 + 1/3 = 1
Answer:
1/3
Step-by-step explanation:
because all the sides and shapes are equal it would be 1/3as well as
1/3 + 1/3 +1/3=1
Mandy is trying to subtract 9 - 10, and she has asked you for help. How would you explain the process of solving the problem to Mandy, using an number line?
Pyramid A with height 8 has lateral edges of length 10. Pyramid B with height 12 has lateral edges of 15. Both A and B are regular square pyramids. What is the ratio of the heights of the pyramid?
Answer:
8:12
Step-by-step explanation:
The heights of both the pyramids are stated in the question so...
Pyramid A height: 8
Pyramid B height: 12
The ratio is (pyramid A : pyramid B) so our final answer should be...
8:12
Tia wrote a perfect square trinomial on the board, but a value is missing. Which of the following statements must be true?
Answer:
c
Step-by-step explanation:
i think it's C cause it shows you the 4×
The missing value in the given perfect square trinomial is 20. (option 2)
What is a perfect square trinomial?A perfect square trinomial is a trinomial that can be written as the square of a binomial.
Given that, Tia wrote a perfect square trinomial on the board, but a value is missing.
The trinomial is =
4x²+?+25
When comparing with (a+b)² = a²+b²+2ab
We get,
a² = 4x²
a = 2x
b² = 25
b = 5
We are asked to find, 2ab,
Therefore,
2ab = 2×2x×5
= 20x
Hence, the missing value in the given perfect square trinomial is 20.
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Write the equation of the line that goes through (-2,4) and (2,8)
PLSSS HELP ME!! I'll give you 20 points and the brainlest answer.
2. Solve for X. SHOW YOUR WORK.
(7x - 25)°
(4x + 2)°
Answer:
the answer is 9,
Step-by-step explanation:
i looked it up and passed my test with a 100
A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.761 b=20.501 r^2=0.643204 r=0.802 Use this to predict the number of situps a person who watches 2 hours of TV can do ( to one decimal place )
Answer:
The number of situps is approximately 19
Step-by-step explanation:
Regression Line
A regression line is a line that best fits any given dataset in terms of having the smallest overall distance from the line to the points.
Regression lines are useful to forecast the behavior of the dependent variable.
We are given the statistics related to determining if there is a relationship between hours of TV watched per day (x) and the number of situps a person can do (y).
The line is given as follows:
y=-0.761x+20.501
The rest of the parameters can only be used as a reference to evaluate how good the line approaches the dataset.
Now use the line to predict the number of situps a person who watches x=2 hours of TV can do:
y=-0.761*2+20.501
y=19
The number of situps is approximately 19
Zach throws a ball upward so that it follows the equation
y= 16x^2 + 64 +5 where y is the height of the ball and x is time.
How many seconds will it take for the ball to hit the ground?
Hey there!
=> y= 16x^2 + 64 +5
Let's obtain a formula for x
=> y= 16x^2 + 64 +5
=> y=16x^2+69
=> y - 69 = 16x^2
=> y - 69/16 = x^2
=> y - 4.3125 = x^2
=> x = √y - 4.3125
=> x = y - 2.08
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