Answer: 18 tiles
Step-by-step explanation:
Area of the floor = l x w = 3.6 * 2.4 = 8.64 sq. m.
Area of one tile = l x w = 8 * 6 = 48 cm = 0.48 m
No. Of tiles that can fit the floor =
8.64 / 0.48 = 18
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.
Answer: [tex]\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}[/tex]
Step-by-step explanation:
Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse
[tex]9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]
Note: 4² + (8√2)² = hypotenuse² → hypotenuse = 12
[tex]10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}[/tex]
Note: 12² + opposite² = 20² → opposite = 16
[tex]11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]
Note: adjacent² + 5² = 6² → adjacent = √11
[tex]12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}[/tex]
Note: adjacent² + 7² = (13√2)² → adjacent = 17
Help please !!!!! thank you
Answer:
C
Step-by-step explanation:
To find the product you must multiply the two expressions:
[tex](x-3)*(x+7)[/tex] Starting equation
[tex]x^{2} +7x-3x-21[/tex] Use the FOIL method to multiply the two binomials
[tex]x^{2} +4x-21[/tex] Combine like terms
What is the surface area of the rectangular prism?
Answer:
Right rectangular prism
A=2(wl+hl+hw)
l Length
w Width
h Height
Lucky's Market purchased a new freezer for the store.
When the freezer door stays open, the temperature
inside rises. The table shows how much the
temperature rises every 15 minutes. Find the unit rate.
temperature (°F) =10
number of minutes =15
°F per minute
Answer:
1/3 degreees/min
Step-by-step explanation:
In 15 min, temp. rises by 10 degrees
This means that 10 degrees / 15 min = 2 deg / 3 min
1/3 degree/min
The unit rate of change in °F per minute is 0.667°F/ min .
What is an Equation ?An equation is a statement formed when variables are equated by a constant or another variable by an equal sign.
It is given that
The rate of increase of temperature with increasing time is given
The unit rate of change in °F per minute has to be determined .
In 15 minutes , the temperature changes by 10°F
The rate of unit change is 10 / 15 = 0.667
20/30 = 0.667
40/60 = 0.667
Therefore the unit rate of change in °F per minute is 0.667°F/ min .
To know more about Equation
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what is the ratio 14:56 in its simplest form thx
Answer:
1:4
Step-by-step explanation:
7:28
1:4
Answer:
1:4
Step-by-step explanation:
14:56=
7(2):7(8)=
2:8=
2(1):2(4)=
1:4
Hope this helps!
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.
Answer:
[tex]A=2\times25\times 44+14\times44+2\times\frac{14\times24}{2} =3152\; cm^2[/tex]
The surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
What is a triangular prism?When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.
We have a triangular prism, is showing in the picture:
Here a = 25
b = 25
c = 14
h = 44
The surface area of the triangular prism is given by:
[tex]\rm A=ah+bh+ch+\dfrac{1}{2}\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4][/tex]
Plug all the values in the formula we get:
A = 3152 square cm
Thus, the surface area of the triangular prism is 3152 square cm if the base of the prism is an isosceles triangle.
Learn more about triangular prisms here:
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Just the top half is what I need help with. I will give the the big
Answer:
Step-by-step explanation:
5.volume=8×7×6=336 mi³
6.r=16/2=8 yd
volume=4/3×π×8³=2048/3 π yd³
≈2144.7 yd³
7.r=2.5/2=1.25 in
v=πr²h=π×1.25²×5
volume of 150 cups=7.8125 π×150=1171.875 π in³≈3681.6 in³
8. statement not visible.
Rohan and Ronit went to the sea shore during their vacations they stood at a point and decided it to be the starting point. For every step Ronit moved forward Rohan took three steps backward . If the distance covered between the starting point and Ronit is +96 then find out Rohan's position and the distance between Ronit and Rohan .
Answer:
-288
Step-by-step explanation:
math
Please help me! The answer choices are included in the picture.
Answer:
C
Step-by-step explanation:
Let's just look at the point G(3) = 3
this point only occurs through one equation which is
g(x) = (1/3)x^2
Answer:
The answer is 1/3x^2 or in your case C.
Step-by-step explanation:
Well I just add the points on Desmos graphing. The 3rd one was able to hit the points (3,3) and (-3,3). The others did not.
Carole's age is five times Joe's age. The sum of their ages is 18. How old are Carole and Joe? (Solve using systems of linear equation)
c = 5j
c + j = 18
5j + j = 18
6j = 18
j = 3
c = 5(3) = 15
Answer: Carole is 15, Joe is 3
Answer:
Joe is 3 and Carole's age is 15
Step-by-step explanation:
Joe: x
Carole: 5x
5x+x=18
6x=18
x=3
To determine the mean number of electoral votes, add all of the votes in the table and divide by .
There are a total of 535 electoral votes. The mean is votes per state.
The median of the electoral votes is .
Answer:
The median is the 268th observation.
Step-by-step explanation:
The mean of a data set is the value representing the entire data set.
The formula to compute the mean is:
[tex]\text{Mean}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}[/tex]
The median of a data set is the middle most value in the data set.
For odd number of observations the median is given by:
[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]
For even number of observations the median is given by:
[tex]\text{Median}=\frac{[\frac{n}{2}]^{th}\ \text{observation}\ +\ [\frac{n}{2}+1]^{th}\ \text{observation}}{2}[/tex]
In this case the mean number of votes per state is:
[tex]\text{Mean}=\frac{\text{Total number of electoral votes}}{\text{Total number of states}}[/tex]
There are n = 535 observations, This value is an odd number.
Then the median of the electoral votes is:
[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]
[tex]=[\frac{535+1}{2}]^{th}\ \text{observation}\\\\=268^{th}\ \text{observation}[/tex]
Thus, the median is the 268th observation.
Answer:
To determine the mean number of electoral votes, add all of the votes in the table and divide by
✔ 50
.
There are a total of 535 electoral votes. The mean is
✔ 10.7
votes per state.
The median of the electoral votes is
✔ 8
.
Step-by-step explanation:
Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 km away. It takes Amy 40 minutes to arrive at school. Bill arrives 20 minutes after Amy. How much faster (in km/h) is Amy than Bill for the entire trip?
Answer:
Amy is (21.6 - 14.4) 7.2 km/hr faster than Bill.
Distance = speed / time
Amy's speed
40 minutes = 40/60 = 2/3 hours
14.4 = speed / 2/3
Speed = 14.4 * 3/2 = 21.6 km/ hr
Bill speed
60 minutes = 1 hour
Speed = 14.4 km / hr.
f(0) = g(0)
f(-2) = g(-2)
f(0) = g(-2)
f(-2) = g(0)
Answer:
f(-2) = g(-2)
Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi?
gohead ask a teacher or another site
I need the same question to
Which is the focus of a parabola with equation y2 = 4x?
0 (-1,0)
0 (0, -1)
0 (0, 1)
(1, 0)
Answer:
(1, 0)
Step-by-step explanation:
Please write this as y^2 = 4x; the " ^ " indicates exponentiation.
The appropriate equation for a horizontal parabola that opens to the right is
y^2 = 4px
Here, we are told that y^2 = 4x; this tells us that 4p = 4, and so p = 1.
Again, this parabola is a horizontal one and it opens to the right. p = 1 is the distance of the focus from the vertex, and in this case p = 1. Thus, the focus is at (1, 0) (situated on the x-axis).
Answer:
(1,0) 2022
Step-by-step explanation:
stop playing wit me
What value of n makes the statement true?
6x^n• 4x^2=24x^6
n =
Answer:
n =4
Step-by-step explanation:
6x^n• 4x^2=24x^6
Combine like terms
24 x^n *x^2 = 24 x^6
We know that a^b * a^c = a^(b+c)
24 x^(n +2) = 24 x^6
Divide each side by 24
x^(n +2) = x^6
The bases are the same so the exponents are the same
n+2 = 6
Subtract 2
n+2-2 = 6-2
n=4
Answer:
4
Step-by-step explanation:
just did it
what is the the importance and applications of percentages in the real world?
Answer:
because
Step-by-step explanation:
Percentages are an important part of our everyday lives. Percentage is a very handy way of writing fractions. Percentages can be compared more easily than fractions. ... The commission can be a percentage of the sales made.
Answer:
Sales tax
Depending on where you live, you might pay a sales tax on the things you buy. A sales tax is an extra charge added to the price of an item. The amount you pay in tax is almost always a percentage of that price.
Suppose you buy a $50 coffeemaker in an area where the sales tax is 8%. When you check out, 8% of $50 would be added to your total price. How much would you pay total?
Step-by-step explanation:
I'll send a screenshot of the problem. I really look forward to an answer!
Answer:
a. 65
b. D
Step-by-step explanation:
The question asks for an expression that solves for the profit that the company will make from each phone. The expression would be 65x, where 65 represents $65 profit from each phone, since $50 is spent and $115 is made, 115-50 gives you the profit, $65
D is the answer because the question asks for the expression that shows the earnings, or how much is made from each phone
What is the quotient when (x + 2) is divided into the polynomial 2x2 - 2x - 12?
Answer:
2(x-3)
Step-by-step explanation:
2x² - 2x - 12= 2(x²-x+6)= 2(x²+2x- 3x+6)= 2(x-3)(x+2)
(2x² - 2x - 12)/(x+2)= 2(x-3)(x+2)/(x+2)= 2(x-3)Find an equation for the hyperbola with center at origin (0,0), vertex (-6, 0) and focus
at (-10, 0)
a circle has a radius of 48 millimetres. What is the arc intercepted by a central angle that measures 3pi/4 radians? express your answer in terms of pi
Answer:
3π/4
Step-by-step explanation:
why is, 9a is equivalent to 11a - 2a true ?
Answer:
9a is equivalent to 11a - 2a because 11a-2a is 9a.
Step-by-step explanation:
A gambler rolls a die 100 times.
Which of the following is the most likely amount of sixes rolled?
Answer:
17
Step-by-step explanation:
A standard die has a 1/6 chance of rolling a 6.
Over 100 rolls, a 6 is likely rolled (1/6)*100 times.
100/6=16.66, approximately 17 times
Which of the following is most likely to be a relative minimum for this graph?
Answer: A (3, -4)
Step-by-step explanation:
A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.
If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).
4 is negative because you are going down below the x-axis.
1: make x the subject: 4(x+y) = z
2: make b the subject: ab + cd = e
Answer:
1.x=(z/4)-y
2.b=(e-cd)/a
Step-by-step explanation:
1.
z=4(x+y)
Divide both sides by 4
z/4=x+y
Subtract y from both sides
(z/4)-y=x
Answer
x=(z/4)-y
2.
ab+cd=e
subtract cd from both sides
ab=e-cd
divide both sides by a
b=(e-cd)/a
Answer
b=(e-cd)/a
Answer:
[tex]1) x = \frac{z}{4} - y[/tex]
[tex]2) b = \frac{e}{a} - \frac{cd}{a}[/tex]
Explanation:
(1) Making x the subject: [tex]4(x + y) = z[/tex]
To make x the subject of original expression, we send the x to the left side of expression and all of the other components to the right side of expression.
The detail procedure is described as following:
[tex]4(x + y) = z[/tex]
Apply associate property:
<=> [tex]4x + 4y = z[/tex]
Send 4y to the right side (the sign of 4y must be changed from positive to negative):
<=> [tex]4x = z - 4y[/tex]
Divide both sides by 4:
<=> [tex]x = \frac{z}{4} - y[/tex]
(2) Make b the subject: [tex]ab + cd = e[/tex], applying the similar procedure in part (1):
[tex]ab + cd = e[/tex]
Send [tex]cd[/tex] to the right side (the sign of
<=> [tex]ab = e - cd[/tex]
Divide both sides by [tex]a[/tex]:
<=> [tex]b = \frac{e}{a} - \frac{cd}{a}[/tex]
Hope this helps!
:)
Add or subtract (5x^2 + x-3) - (-2x^3 + 4)
Answer:
Step-by-step explanation:
(5x^2 + x-3) - (-2x^3 + 4)=2x³+5x²+x-7
Answer:
2x^3 +5x^2 +x -7
Step-by-step explanation:
(5x^2 + x-3) - (-2x^3 + 4)
Distribute the minus sign
(5x^2 + x-3) +2x^3 - 4
Combine like terms
2x^3 +5x^2 +x -7
On a coordinate plane, Curtis lives at (-4,-6) and John lives at (-4,-3) . If each unit on the grid is a mile, how many miles apart are John and Curtis.
Answer:
3 miles
Step-by-step explanation:
Since the x coordinates are the same, we only need to find the distance between the y coordinates
-3 - -6
-3 +6
3 units
Each unit is 1 mile
3 units * 1 miles / 1 unit = 3 miles
find the equation of the line passing through the point (0,1) which is perpendicular to the line y=-3/4x-3
Answer:
y = [tex]\frac{4}{3}[/tex] x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{3}{4}[/tex] x - 3 ← is in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex]
The line crosses the y- axis at (0, 1 ) ⇒ c = 1
y = [tex]\frac{4}{3}[/tex] x + 1 ← equation of perpendicular line
Please help. I will be constantly asking questions on the app to finish a class and i only have a day
Answer: C [tex]0\leq y\leq 5[/tex]
Step-by-step explanation:
If 65% of the light are on what percent of the lights are off
Answer:
since 100% is everything
100 - 65 = 35%
Step-by-step explanation:
35% of the lights are off
Answer:
35% are off
Step-by-step explanation:
The lights are either on or off
That is 100%
100 -65 = 35
65% are on
35% are off