Lana is designing a triangular pyramid made of all glass to go on top of a building. All of the faces of the pyramid have a height of 17 feet and a base of 20 feet.
How much glass is needed?
A.
680 sq ft
B.
340 sq ft
C.
2,040 sq ft
D.
1,360 sq ft
Answers
Answer:
Area of a triangle is 1/2 x base x height.
area of triangle = 1/2 x 20 x 17 = 170 square feet.
the image shows 4 triangles, total area = 170 x 4 = 680 square feet.
the answer is A. 680 sq. ft.
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Related Questions
If 14 g of a radioactive substance are present initially and 4 yrs later only 7 g remain, how much of the substance will be present after 8 yrs?
Answers
5.25 g
Step-by-step explanation:
The half-life of a radioactive substance is the amount of time it takes for half the mass of the substance to decay.
In this question no calculations are required to get half-life. This is because it is given that it took 3 years for the 14g to halve to 7g.
To find amount of the substance after a further 4 years, we’ll use the formula;
Final amount = initial amount / 2ⁿ
Where n = elapse time / half-life
We begin by finding n;
n = 4 years / 3 years
= 4/3
Final amount;
= initial amount / 2ⁿ
= 7 / 2 ^ (4/3)
= 5.25 g
Learn More:
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PLEASE HELP PLEASE PLEASE
Answers
Answer:
True! We can tell that it is still there through weight becuase weight is a method of evidence/measurement. Hope this helps!
What are the coordinates of A?
Answers
I hope that I helped ;D
Find the area of the figure (Explain it please)
Answers
Check the picture below.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(160)(20)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(90)(120)}}\implies 3200~~ + ~~5400\implies 8600[/tex]
Find the exact value of the trigonometric expression when
sin(u) = − /13 and cos(v) = − 4/5. (Both u and v are in Quadrant III.)
tan(u+v)
Answers
Part of the value of sin(u) is cut off; I suspect it should be either sin(u) = -5/13 or sin(u) = -12/13, since (5, 12, 13) is a Pythagorean triple. I'll assume -5/13.
Expand the tan expression using the angle sum identities for sin and cos :
tan(u + v) = sin(u + v) / cos(u + v)
tan(u + v) = [sin(u) cos(v) + cos(u) sin(v)] / [cos(u) cos(v) - sin(u) sin(v)]
Since both u and v are in Quadrant III, we know that each of sin(u), cos(u), sin(v), and cos(v) are negative.
Recall that for all x,
cos²(x) + sin²(x) = 1
and it follows that
cos(u) = - √(1 - sin²(u)) = -12/13
sin(v) = - √(1 - cos²(v)) = -3/5
Then putting everything together, we have
tan(u + v)
= [(-5/13) • (-4/5) + (-12/13) • (-3/5)] / [(-12/13) • (-4/5) - (-5/13) • (-3/5)]
= 56/33
(or, if sin(u) = -12/13, then tan(u + v) = -63/16)
Pleasse I need help Asap!!!!
Help Pleaseeee
Answers
Answer:
33
Step-by-step explanation:
simply replace x with 7!
7^2 = 49
49-16=33
Solve.
2 What is the volume of this rectangular prism?
Show your work.
Answers
Step-by-step explanation:
if width = 3 length = 5 hight = 10
Volume of rectangular prism = 3×5×10
= 150
For example, the rectangular prism below has a volume of 18 cubic units because it is made up of 18 unit cubic
Finding volume of a rectangular prism
To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
Volume of rectangular prism = length * width * height
Example
A rectangular prism made up of unit cubes. The front face of the rectangular prism shows 9 cubes: 3 rows and 3 columns. The top face of the cube shows 6 cubes: 2 rows and 3 columns. The right-hand side face shows 6 cubes: 3 rows and 2 columns. The length of the rectangular prism is 3 units. The width of the rectangular prism is 2 units. The height of the rectangular prism is 3 units.
Volume= length * width * height
=3*2*3
= 18 cubic unit
Another example
A rectangular prism with a length of 6 centimeters, a width of 5 centimeters, and a height of 7 centimeters.
Volume= length * width * height
=6*7*5
=210 cubic unit
Reflect the given triangle over
the line y=x.
3
-3
6
3
3
3
3
B!
-3
3
[?] [
[ ] [
Answers
Answer:
[tex]\left[\begin{array}{ccc}-3&3&3\\3&6&3\end{array}\right][/tex]
Step-by-step explanation:
Reflection over the line y=x is described by the transformation ...
(x, y) ⇒ (y, x)
The corresponding transformation matrix is ...
[tex]\left[\begin{array}{cc}0&1\\1&0\end{array}\right][/tex]
When this left-multiplies the given coordinate matrix, the result is the one shown above.
In the third month of a study, a sugar maple tree is 86 inches tall. In the seventh month, the tree is 92 inches tall. Assuming the tree grows at a constant rate every month, what is the rule for the height of the tree during the nth month?
A. an = 83 + 1.5(n – 1)
B. an = 83 + 1.5(n + 1)
C. an = 86 + 2(n – 1)
D. an = 86 + 2(n + 1)
Answers
The rule for the height of the tree during the nth month will be an = 83 + 1.5(n – 1). The correct option is A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that in the third month of the study, a sugar maple tree is 86 inches tall. In the seventh month, the tree is 92 inches tall.
For option A satisfy the equation for n = 3 and n = 7,
an = 83 + 1.5(n – 1)
a₃ = 83 + 1.5(3 – 1)
a₃ = 83 + 3
a₃ =86
a₇ = 83 + 1.5(7– 1)
a₃ = 83 + ( 1.5 x 6 )
a₃ = 83 + 9
a₃ = 92
Therefore, the rule for the height of the tree during the nth month will be an = 83 + 1.5(n – 1). The correct option is A.
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The difference in length of a spring on a pogo stick from its non-compressed length when a teenager is jumping on it after θ seconds can be described by the function f of theta equals 2 times cosine theta plus radical 3 period
Part A: Determine all values where the pogo stick's spring will be equal to its non-compressed length. (5 points)
Part B: If the angle was doubled, that is θ became 2θ, what are the solutions in the interval [0, 2π)? How do these compare to the original function? (5 points)
Part C: A toddler is jumping on another pogo stick whose length of their spring can be represented by the function g of theta equals 1 minus sine squared theta plus radical 3 period At what times are the springs from the original pogo stick and the toddler's pogo stick lengths equal? (5 points)
Answers
Answer:f θ =2sin θ + square root of 3.
Step-by-step explanation: I think this is right
which is greater 0.209 or 0.21
Answers
Answer:
0.21
Explanation:
210 hundredths is larger than 209 hundredths.
Answer:
0.21 because .210 is more than .209
In a city election, two people ran against each other to be the next mayor. Candidate 1 received 24,000votes and candidate 2 received 80,000
.
Answers
Answer:
What is the question You are just stateing facts?
Step-by-step explanation:
Identify the trinomial that is not a perfect square.
A. 64x2 + 48x + 9
B. 25x2 + 70x + 49
C. 100x2 + 60x + 9
D. 121x2 + 100x + 25
Answers
Answer:
Option D, [tex]121x^2 + 100x + 25[/tex]
Step-by-step explanation:
Step 1: Determine the one that is not a perfect square
Factor Option A
[tex]64x^2 + 48 + 9[/tex]
[tex](8x + 3)(8x + 3)[/tex]
[tex](8x + 3)^2[/tex]
Factor Option B
[tex]25x^2 + 70x + 49[/tex]
[tex](5x + 7)(5x + 7)[/tex]
[tex](5x + 7)^2[/tex]
Factor Option C
[tex]100x^2 + 60x + 9[/tex]
[tex](10x + 3)(10x + 3)[/tex]
[tex](10x + 3)^2[/tex]
Factor Option D
[tex]121x^2 + 100x + 25[/tex]
Cannot factor this equation with rational number
Answer: Option D, [tex]121x^2 + 100x + 25[/tex]
Jorge went to Target to buy a Lego Kit. The Lego Kit is worth $25.00 plus a 8.5% sales tax. How much is Jorge paying in sales tax?
Answers
Answer:
Price before Taxes: $ 25.00
Sales Tax (8.5%): $ 2.13
Total Price with Tax: $ 27.1
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs.
Consider the functions below.
f(x) = 12 - 61 – 27
g(t) = 1 - 9
Match the expressions to the correct function combinations.
( + 5)()
(1.9)(*)
(5-8)(=)
13 – 15.12 + 271 + 243
>
2 - 71 - 18
>
22 – 50 – 36
I + 3
Answers
Answer:
answer attached
Step-by-step explanation:
just solve them out
The expressions to the correct function combination is (f. g)(x).
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
f(x) = 12 - 61 – 27
g(t) = 1 - 9
Now,
To match the expressions to the correct function combinations, you can substitute the values of f(x) and g(t) into the expressions and simplify. For example:
( + 5)() = (f(x) + 5)(g(t))
( + 5)() = ((12 - 6x - 27) + 5)(1 - 9t)
( + 5)() = (17 - 6x)(1 - 9t)
( + 5)() = 17 - 153t - 6x + 54xt
Therefore, by the given equation the answer will be (f. g)(x).
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log(x + 2) – logx =log(2x – 1) - log(3x – 12)
Answers
First note that any solution must belong to all of the intervals
x + 2 > 0 ⇒ x > -2
x > 0
2x - 1 > 0 ⇒ x > 1/2
3x - 12 > 0 ⇒ x > 4
so x must be larger than 4.
Recall that log(a) - log(b) = log(a/b). So we can rewrite
log(x + 2) - log(x) = log(2x - 1) - log(3x - 12)
log((x + 2)/x) = log((2x - 1)/(3x - 12))
Take the antilogarithm/exponential of both sides (note that the base of the logarithm doesn't matter here):
exp[log((x + 2)/x)] = exp[log((2x - 1)/(3x - 12))]
(x + 2)/x = (2x - 1)/(3x - 12)
Eliminate the fractions:
x (3x - 12) • (x + 2)/x = x (3x - 12) • (2x - 1)/(3x - 12)
(3x - 12) (x + 2) = x (2x - 1)
Expand both sides, collect terms and factorize to solve for x :
3x² - 6x - 24 = 2x² - x
x² - 5x - 24 = 0
(x - 8) (x + 3) = 0
x - 8 = 0 or x + 3 = 0
x = 8 or x = -3
5x+5=3x+4 solve as a fraction
Answers
Answer:
[tex] \hookrightarrow \sf \bold{ - \frac{1}{2} }[/tex]
Step-by-step explanation:
⇢ [tex] \bold{5x+5=3x+4} [/tex]
⇢ - 3x + 5x = 4 - 5
⇢ 2x = -1
⇢ 2x/2.= -1/2
⇢ x = -1/2
5x+5=3x+4
5x-3x=4-5
2x=-1
2x/2=-1/2
x=-1/2
IRIS BULBS
First half-dozen
Second half-dozen
Each additional bulb
$5 per bulb
$4 per bulb
$3 per bulb
Which of the following calculations represents the
cost of 2 dozen iris bulbs?
A. 24 x $3
B. $5 + (2 x $4) + (12 x $3)
C. (6 x $5) + (6 x $4) + (12 $3)
D. (12 x $5) + (12 $4)
E.
(3 x 85) + (3 x sa) + (12 x $3)
+
$3
Answers
The calculation that represents the cost of 2 dozen iris bulbs is ($5 * 6) + ($4 * 6) + ($3 * 12)
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
The cost of 2 dozens of iris bulbs is given by the equation:
Cost = ($5 * 6) + ($4 * 6) + ($3 * 12)
The calculation that represents the cost of 2 dozen iris bulbs is ($5 * 6) + ($4 * 6) + ($3 * 12)
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By rewriting the formula for the multiplication rules you can write a formula for finding conditional probabilities. The conditional probability of event b Occurring giving that event a has occurred is
The probability that an airplane flight departs on time is 0.91
The probability that a flight arrives on time is 0.89.
The probability that a flight departs and arrives on time is 0.84
The probability that a flight departed on time given that it arrives or
(Round to the nearest thousandth as needed
Answers
The probability that a flight departed on time given that it arrives is 0.92
Conditional ProbabilityThe conditional probability of event B occurring giving that event A has occurred is expressed as
P(B|A) = P(A and B)/P(A)
Given the following parameters
P(A and B) = The probability that a flight departs and arrives on time = 0.84
P(A) = The probability that an airplane flight departs on time = 0.91
P(B | A) = 0.84/0.91
P(B | A) = 0.92
Hence the probability that a flight departed on time given that it arrives is 0.92
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Using each digit once, list all the
3-digit numbers that can be made
From 1, 4, and 7.
Answers
Answer:
1,4,7 1,74. 4,7,1 ,4,1,7 ,7,4,1
Rajani has a bag that contains strawberry chews, cherry chews, and lime chews. She performs an experiment. Rajani randomly removes a chew from the bag, records the result, and returns the chew to the bag. Rajani performs the experiment 38 times. The results are shown below: A strawberry chew was selected 23 times. A cherry chew was selected 4 times. A lime chew was selected 11 times. Based on these results, express the probability that the next chew Rajani removes from the bag will be strawberry or cherry as a fraction in simplest form.
Answers
Answer:
[tex]\frac{27}{38}[/tex]
Step-by-step explanation:
P (Srawberry or Cherry)
= [tex]\frac{23 + 4}{38}[/tex]
= [tex]\frac{27}{38}[/tex]
I hope this help out.
ABC
Question 2
A helicopter landing pad is built on the roof of a hospital. Helicopters land inside the circular part of the pad. This part has a diameter of 50 feet.
What is the area inside the circle on the landing pad to the nearest whole number?
A
1963 feet2
B
3927 feet2
C
7854 feet2
D
15,708 feet2
Answers
Answer:
A
Step-by-step explanation:
If 50 is the diameter that thr radius is 25 and the equation to find the area of a circle is pi(r^2). So you would do pi(25^2) and that is 1963
A trapezoid has sides of length 11 inches, 1.5 inches, 11 inches, and 19.1 inches. What is the perimeter?
Answers
Answer:
The Perimeter of the trapezoid = 42.6 inches
Step-by-step explanation:
______
Formula:
let a , b , c , d be consecutively the lengths of the sides of the trapezoid
then
The Perimeter of the trapezoid = a + b + c + d
___________________________________
Suppose a = 11 , b = 1.5 , c = 11 , d = 19.1
therefore,
The Perimeter of the trapezoid = a + b + c + d
= 11 + 1.5 + 11 + 19.1
= 42.6
Sarah is designing a triangular pyramid made of all glass to go on top of a building. All of the faces of the pyramid have a height of 17 feet and a base of 20 feet.
How much glass is needed?
A.
680 sq ft
B.
340 sq ft
C.
2,040 sq ft
D.
1,360 sq ft
Answers
Answer:
Area of a triangle is 1/2 x base x height.
area of triangle = 1/2 x 20 x 17 = 170 square feet.
the image shows 4 triangles, total area = 170 x 4 = 680 square feet.
the answer is A. 680 sq. ft.
Hope this helps you!!
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Answer: the answer is a which is 680 ft²
Step-by-step explanation: we will make 17 Times 220 divided by 2 equals 170 times by 4 equals 680 . Hope it helps you buddy .
Please Help
Solve for x.
3/5x+5=4/5
Enter your answer in the box.
X=
Answers
Answer:
x = -1/7
Step-by-step explanation:
3/5x + 5 = 4/5
3/5x + 5/1 = 4/5
3 + 25x/5x = 4/5
4(5x) = 5(3 + 25x)
20x = 15 + 125x
-15 = 125x - 20x
-15 = 105x
-15/105 = x
-1/7 = x
factor completely. Be sure to show all of your work.
g(x)=x3-x2-4x+4
Find the zeros of the function. Be sure to show all of your work.
Find the y-intercept of the chosen function. Be sure to show all of your work.
Describe the end behavior of the graph.
Answers
The function g(x) = x³ - x² - 4x + 4 has zeros at 1, 2 and -2. The y intercept is at 4.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The zeros of the function is at:
g(x) = 0, hence:
x³ - x² - 4x + 4 = 0
(x - 1)(x² - 4) = 0
(x - 1)(x + 2)(x - 2) = 0
x = 1, x = -2 and x = 2
The y intercept is at x = 0, hence:
g(0) = 0³ - 0² - 4(0) + 4 = 4
The function g(x) = x³ - x² - 4x + 4 has zeros at 1, 2 and -2. The y intercept is at 4.
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If a rectangle has a base of 6 units, and a helght of 8 units, what Is Its area?
Answers
Answer:
Answer is 48
Step-by-step explanation:
6x8 = 48
Hope it helps!
Answer:
area=b•h
6 units • 8 units = 48 units²
(80 + 240 times 3) ÷ 20
Solve the equation
Answers
720+80 = 800
800/20= 40
The answer is 40.
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Help me please please!!!!!!
Answers
Answer:
And great great the owner is 44
Step-by-step explanation:
or 36 because you have to add all sides
Ryan's mother recorded how many donuts he has eaten over the past few months. cake donuts 3 chocolate frosted donuts 48 maple donuts 7 cream-filled donuts 12 glazed donuts 20 Considering this data, how many of the next 45 donuts Ryan eats would you expect to be cream-filled donuts?
Answers
Answer:
6
out of the total donuts (90), Ryan ate 12 cream filled donuts. 45 is half of that, therefore he should eat half the cream filled donuts