if im understanding the question right, the answer is 37.125 feet cubed
100 points
The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.
Solve for the length of the diagonal of Stacy's ceiling in two ways:
(a) Using the Pythagorean Theorem.
(b) Using trigonometry.
Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)
Answer:
47
Step-by-step explanation:
a)
a^2 + b^2 = c^2
33^2+33^2=c^2
2178=c^2
c=(nearest is 47)
b)
If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse. sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.
The length of the diagonal of Stacy's ceiling is 46,7.
What is the Pythagoras theorem?Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle.
The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.
By using Pythagoras theorem;
[tex]\rm Hypotenuse ^2=33^2+33^2\\\\ Hypotenuse ^2=1089+1089\\\\ Hypotenuse ^2=2178\\\\ Hypotenuse =46.9\\\\[/tex]
By using trigonometry;
[tex]\rm Cos45=\dfrac{33}{d}\\\\d =\dfrac{33}{cos45}\\\\d=46.7[/tex]
Hence, the length of the diagonal of Stacy's ceiling is 46,7.
learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
#SPJ2
HELP! WILL GIVE BRAINLEST!
Answer:
210, 330
Step-by-step explanation:
we know that the angle 30 gives the value of 1/2
so, since we know that sin is negative in both the third and the fourth quadrant, we can find the answer.
make sure to ask if you need any further guidance. :)
Does x^2=-4 have one solution
Answer:
The answer has no solutions but if you want it in imaginary numbers the answer would be x=-2i and x=2i
Answer:
No solution
Step-by-step explanation:
If the answer has no solution you can't change it, just write No solution
Ursula and yi share a submarine sandwich Ursula eats 2/8 of the sandwich yi eats 3/8 of the sandwich how many of the sandwich do two friends eat
Answer:
Step-by-step explanation:
the 2 friend eat 5/8
9. Find the area of the shaded segment. Round your answer to the nearest tenth. (1 point)
120°
6 cm
0 7.9 cm
O 120 cm
O 22.1 cm
O 36.0 cm
Answer: 22.1 cm^2
Step-by-step explanation:
I just took the practice :)
Two whole numbers have a least common multiple of 24.
Each of these numbers is less than or equal to 12.
The greatest common factor of the two numbers are 4.
What are the two numbers?
A. 6 and 12
B. 8 and 12
C. 4 and 8
D. 4 and 12
Answer:
3
Step-by-step explanation:
hopefully it helps :)
Determine if the given relation is function or not. Give its domain and
range.
{(1, 6), (2, 7), (3, 8), (4, 9)}
Answer:
YesStep-by-step explanation:
According to definition of the function, it should have one-to-one relation.
We can see all pairs are unique, no repeated ranges for same domain.
Yes, this is a function.
Given relationship
(1,6)(2,7)(3,8)(4,9)Domain:-
{1,2,3,4}Range:-
{6,7,8,9}As every domain has an unique range it's a function
Answer number 5 pleaseee
Answer: $17.55
Step-by-step explanation:
We will multiply the bill by 117% to account for the original amount and the tip being given.
117% / 100 -> 1.17
$15 * 1.17 = $17.55
Sarah should leave $17.55 in total.
I need help plsss ..............
What is (3^2)^4? Pls help will give crown if explanation is fair
Answer:
answer is the frist picture
Step-by-step explanation:
I NEED HELPP PLEASE
Answer:
√17
Hope it helps.......
what is the mean of 25 31 12 38 12 15
Answer:
22.1666666667 ~ 22.17 (This should be rounded)
Step-by-step explanation:
The mean formula is to add all the numbers and then divide by the quantity or how many numbers were listed.
25+31+12+38+12+15/6 = mean
All the numbers added up should equal 133
You need to divide the sum by 6 since that is how many numbers that are in your data set.
The Mean of the Data set is 22.1666666667 which is approximately 22.17
difference of two terms 4x-8 to product of two factors
Answer:
4 × (x - 2)
Step-by-step explanation:
we want to transform 4x - 8 from a difference of two terms into a product of two factors :
4x - 8 is a the difference of the terms 4x and 8
4x - 8 = 4x - 4×2 = 4 × (x - 2)
4 × (x - 2) is the product of the two terms 4 and x - 4
A function f is odd and f(x)=x^2 for all x>0. Sketch the graph of this function and then write the rule of this function as a single formula.
We will see that we have a piecewise function:
f(x) = x^2 for x > 0.f(x) = -x^2 for x ≤ 0.The graph can be seen at the end.
What is an odd function?
A function is odd when f(-x) = -f(x) for all the values of x in the domain of the function.
In this case, we know that:
f(x) = x^2 for x > 0.
Then, for the negative range, the sign must change (but the quadratic function is even). Then we define the function in the negative range as:
f(x) = -x^2 for x ≤ 0.
This is the odd function (a piecewise function) for the whole domain:
f(x) = x^2 for x > 0.f(x) = -x^2 for x ≤ 0.The graph of the piecewise function can be seen below.
If you want to learn more about piecewise functions, you can read:
https://brainly.com/question/3628123
Answer:
[tex]f(x) =\frac{x^3}{|x|}[/tex]
Step-by-step explanation:
Being an odd function means that [tex]f(-x) = -f(x)[/tex].
Graphically, it means the function will be symmetric across the origin.
So, the graph will have to look like the shown graph.
This graph looks quite similar to the graph [tex]f(x) = x^3[/tex], so we can use that as our parent function.
To get the graph to equal [tex]x^2[/tex] for x>0, we must divide [tex]x^3[/tex] by x.
However, this will simply result in the function [tex]f(x) = x^2[/tex].
If we divide by the absolute value of x however, the graph will look as desired.
1. Mr. Samuel had 13 notes in his wallet. They consist of $1. $5 and $10 notes. The total amount of the notes adds up to $93. How many $10 notes are there in his wallet?
Answer:
8 $10 notes
Step-by-step explanation:
I started by working it backwards. $93-$3 equals $90. So we have three of our 13 notes. We need ten more. Well the most $10 notes we can have is 8. if we had 8 $10 notes that would give us $80. $90-$80=10. We can take ten and divide it by five so we have 2 $5 notes.
So in total he would have 8 $10 notes, 2 $5 notes, and $3 one dollar notes which adds up to 13 notes
Jonny's bedroom has an area of 90 square feet. What might the length and width of his bedroom be
Answer: 30 on both.
Step-by-step explanation: 30 because 3x3 is 9 so then add a zero
Answer: Area is length multiplied by width.
90=10×9
Step-by-step explanation: The sides will be multiplied to get the area.
10 And 9 are the sides
Pls help ..
No trolls pls I need this-
Answer:
1800 square feet
Step-by-step explanation:
Area of composite figure
Figure 1:
length = 27 ft
Width = 24 ft
Area of figure1 = length * width
= 27 * 24
= 648 square feet
Area of figure II:
length = 27 ft
Widht = 32 ft
Area of figure II = 27 *32
= 864 square feet
Area of figure III:
base = 18 ft
height = 32 ft
[tex]\text{Area of triangle (figure III) = $\dfrac{1}{2}*base*height$}\\\\[/tex]
[tex]= \dfrac{1}{2}*18*32\\\\= 288 \ square \ feet[/tex]
Area of composit figure = 648 + 864 + 288
= 1800 square feet
Select the correct answer.
Simplify the expression.
Answer:
Option D :- [tex] \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }[/tex]
Step-by-step explanation:
[tex] \sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }[/tex]
transform the equation
[tex] \rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }[/tex]
rewrite the expression
[tex] \rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }[/tex]
Simplify the radical expression
[tex] \rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }[/tex]
Multiply
[tex] \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }[/tex]
Answer: Option D :-
Step-by-step explanation:
transform the equation
rewrite the expression
Simplify the radical expression
Multiply
Step-by-step explanation:
4.
Find the value of h, rounded to the nearest tenth.
6.7
7.5
6.3
6.5
Answer:
6.7.
Step-by-step explanation:
sin 48 = 5/h
h * sin 48 = 5
h = 5 / sin 48
= 6.73
An=6•(-1/4)^(n-1). The app won’t scan this problem please help
the picture is below
Answer:
-7j - k - 1 **Answer Choice B**
Step-by-step explanation:
10k + 17 - 7j - 18 - 11k
You need to find a simplified equation that is equivalent to this.
First, combine like terms (meaning coefficients with coefficients and numbers with numbers).
10k -11k + 17 - 18 -7j
-k - 1 - 7j
Rewritten:
-7j - k - 1
Answer Choice B is correct.
An aquarium holds 56. 25 gallons of water. It has a length of 2 feet and a height of 2. 5 feet. What is the volume of the aquarium?
jack and his 3 friends each ate 3pops on Monday if they all at the same amount the rest of the week how many pops could they eat in 3 weeks??
Answer:
216pops.
Step-by-step explanation:
If Jack and his 3 friends(4people total) ate 3 pops on Monday and ate 3pops for the rest of the week, that'd be 12 pops 1 day, and 12x6 is 72 then you have to multiple 72 by 3 and you get 216pops in 3weeks
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
A jar has 28 cherry-flavored candies, 18 strawberry-flavored candies, and 20 orange-flavored candies. If a piece of candy is taken from the jar at random, what is the probability that it will be strawberry-flavored candy?
Group of answer choices
10/33
1/20
14/33
3/11
Answer:
3/11
Step-by-step explanation:
You add up all of the candies so 20+19+28 which is 66
18 is the number of strawberry candies so it becomes 18 over 66, 18/66
Symplify 18/66 and it becomes 3/11
can somebod help me with this
kinda forgot how to do it
Answer:
21.98
Step-by-step explanation:
u have 2 multiply 3.14 and 7
ur wlcm
Answer:
21.98
Step-by-step explanation:
might be 21.99 but schould be 21.98
c=pie(d)
C=3.14(7)
21.98=7x3.14
please find the area of the shaded region
Answer:
30.9 yd^2
Step-by-step explanation:
Area of square - area of circle = shaded area
12 * 12 - pi (6)^2 = shaded area
pls help bru i need help
Answer: I beleive that the systems of transformation are that
Figure JKLM to Figure J' K' L' M' is a Rotation
Figure J' K' L' M' to Figure J" K" L" M" is a Dilation
Step-by-step explanation:
Chen uses these digit cards.
5,6,9
She makes a 2-digit number and a 1-digit number.
She multiplies them together.
Her answer is a multiple of 10
What could Chens multiplication be?
_ _X_
Answer:
95 x 6
or 96 x 5
Step-by-step explanation:
Solve by logicIf you examine the three numbers, you will see that 5 is the only factor of 10.
If we multiply 5 by an even number, we get a multiple of 10.
If we multiply 5 by an odd number, we get a multiple of 5.
Therefore, the 1-digit number must be 5 or 6, and the last digit of the 2-digit number must be 6 or 5.
This means that the first digit of the 2-digit number has to be 9.
So the options are: 95 x 6 and 96 x 5
Proof56 x 9 = 504
59 x 6 = 354
65 x 9 = 585
69 x 5 = 345
95 x 6 = 570
96 x 5 = 480
**Mulitples of 10 have a zero in the units place**
The decimal 132.64 written in expanded form is ______.
how do i find the area of parts of circles?
Answer:
Explanation below
Step-by-step explanation:
The equation for the area of a circle is pir^2
To find the area of parts of a circle you would do as the following examples:
the area of half a circle is (1/2)(pir^2)
the area of a quarter of a circle is (1/4)(pir^2)
the area of a third of a circle is (1/3)(pir^2)
the area of a tenth of a circle is (1/10)(pir^2)