The length of the diagonal of the room is approximately 21.2 feet when rounded to the nearest tenth.
Given information:
A square room in Denise's house measures 15 feet by 15 feet.
Since the room is square, the diagonal forms the hypotenuse of a right triangle whose legs are the sides of the square.
Each side of the square measures 15 feet, so we have:
d² = 15² + 15²
Simplifying:
d² = 2(15²)
d² = 2(225)
d² = 450
Taking the square root of both sides:
d ≈ 21.2
To learn more about the square;
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How do functions and slopes work i dont understand anything work?
Simplify 2x^7 times x^-4
Answer:
The answer is B
2x to the power of 3
Step-by-step explanation:
2x to the power of 7 minus 4 equals
2x to the power of 3
an angle 1/360 of a circle. what is the measure in degrees of the angle
Answer:
1 degree angle
Step-by-step explanation:
since there are 360 degrees in an angle, and 360/360 is 1, the angle must be 1 degree
Answer: 1
Step-by-step explanation:
Explain how you would solve for the value of x when you are given the solution to a function.
Answer:
Substitute
Step-by-step explanation:
Substitute the values given in the function
and you will get the answer.
P.s. It depends on the question
Which expression is equivalent to 3(4x + 2/3) -7x + 3/8
Answer:
= 5x+ 19/8
Step-by-step explanation:
=12x+2-7x+ 3/8
=5x + 19/8
James and mark are delivering newspapers. If James delivers 100 papers in one hour and Mark delivers
150 papers in two hours, how long will it take both of them working together to deliver 1225
newspapers?
Answer:
7 hours!
Step-by-step explanation:
4.64 × 10^2 in standard form
Answer:
464
Step-by-step explanation:
Hope This Helps!
Why the following triangles are congruent!
Answer:
Because the sides BO and MA are marked with one line through the middle, which means those sides are congruent, angle A and Angle O are marked with one line, the angles are congruent, and angles W and N are marked with two lines, which means they are congruent. Therefore the triangles are congruent
A test tube is cylindrical in shape with a length of 152 mm and a radius of 6.5 mm. What is the volume of the test tube? Report your answer in mm3 but do not include the unit mm3 in your answer box. Round your answer to the nearest whole number and do not include commas in your answer. The formula for volume of a cylinder is V=πr2h.
Answer:
20165
Step-by-step explanation:
Given:
Length/height (h) of cylindrical test tube = 152 mm
Radius of cylindrical test tube = 6.5 mm
Volume = [tex] \pi r^2h [/tex]
Required:
Volume of cylinder to nearest whole number
Solution:
The volume is given as [tex] V = \pi r^2h [/tex]
Take π as 3.14 and plug the values of r and h into the volume formula.
[tex] V = 3.14*6.5^2*152 [/tex]
[tex] V = 3.14*6.5*152 = 20165.08 [/tex]
Volume of the test tube = 20165 mm³ (nearest whole number)
If you could help me with the questions it would be greatly appreciated.
Answer:
I believe that number 1 is x=5
Step-by-step explanation:
Answer:
I believe that number 1 is x=5
Step-by-step explanation:
some please help!!!!!!!!!!!
Answer:
its d you welcome
Step-by-step explanation:
you need -6 times 2 = 12 in absolute value
Answer: 12
Step-by-step explanation:
12/-1=12.000000
angle is bisected, forming two new angles. If the original angle had a measure of 52° t is the measure of each new angle? Enter the number only. help asap
The measure of each new angle is 26°
A store is holding a grand opening promotion. Every 3rd customer receives a free key chain and every 4th customer receives a free magnet. Which customer will be in the first to receive both a key chain and a magnet?
Answer:
12th Customer
Step-by-step explanation:
We have to find the lcm (lowest common multiple) of the number.
We do that by taking their multiples. Watch down below
3 x 1 = 3 4 x 1 = 4
3 x 2 = 6 4 x 2 = 8
3 x 3 = 9 4 x 3 = 12
3 x 4 = 12
See how they both have a 12 as their first lcm.
So the 12th customer gets both items.
Glad to help!
What is x when f(x)=0?
are the expression -7 + -2 and -7 - 2 equivalent why or why not? include the solutions for each expression for full credit
Answer:
Yes, they are both equal.
Step-by-step explanation:
This is because in both cases, you are subtracting, -7 + -2 = -9. -7 - 2 = -9.
i need help with this question
Answer:
Triangle ABC is congruent to Triangle DCB because of SSS
Step-by-step explanation:
1.)AB congruent to DC because of given.
2.)BD congruent to CA because of Given
3.)We can say that BC congruent to CB because of Reflexive property.
4.)Triangle ABC is congruent to Triangle DCB because of SSS(1,2,3)
Solve 6y=54. What's the value of y?
Answer:
Y=9
Step-by-step explanation:
6y = 54
Just simply divide and get y by itself.
6/6 y = 54/6 —> y = 9
Answer:
y equals 9.
Step-by-step explanation:
Show Your Work
Please help I’ll mark brainliest
Answer:
(c)
Step-by-step explanation:
3+2+4 = 9, 4+2= 6- 3= 3
If f(x)=3x-7, find f(x)=2
Answer:
f(3) = 2 or (3, 2)
The y-value we solved for is 2.
Step-by-step explanation:
The equation they give you, all you need to do is plug in the x-value they give you.
f(x) the y-value in (x, y)
it will be on that bold, vertical line on the graph
2=3x-7
add 7 to both sides
9=3x
divide both sides by 3
x=3
y=2
3 1/8 +4 3/8 solve the question
Answer:
7 1/2
Step-by-step explanation:
Let's add the whole numbers first, 3 + 4 = 7
Then, we add the fraction, and since the denominator is the same, there's no need for a change, so we just add the top. 1/8 + 3/8 is 4/8, which can be simplified to 1/2
so answer is 7 1/2
Three choices tell you how to locate the point (3, -7.75). Which one does NOT? ECUFATE Starting at the origin, move 3 units to the right and 7.75 units down Starting at the origin, move 7.75 units down and 3 units to the right 20 Starting at the origin, move units up and 7.75 units to the left * Putra finger on 3 on the z-axis and a ſinger just before =8 on the y-axis. Move the first finger down and the second finger to the right until they meet.
Answer:
C . Starting at the origin, move 3 units up and 7.75 units to the left.
Step-by-step explanation:
Susan earned $220 babysitting last week.
On Monday she earned $30 and spent $5.
On Tuesday she earned $35 and spent $25.
On Wednesday she earned $60 and spent $40.
On Thursday she earned $30 and spent $15.
On Friday she earned $65 and spent $25.
Note: Money earned is (+) and money spent is (-)
What is the absolute value of the difference between the money she made on Tuesday and the money she spent on Friday?
Group of answer choices
60
25
10
35
answer for free brainly
Answer
35-25 =15
65-25=45
Step-by-step explanation:
45-15=35 35 = answer
pls can i have that brainly
What is the slope of this question help???
Answer:
I would love to!
The slope is 3, or 3/1
Step-by-step explanation:
To find the slope, you have to count the rise over run. 3 over 1. The best way to find this, is to go up each unit until you see that the line touches an exact point. Once you find that, go over.
Answer:
y = 3x + 10
Step-by-step explanation:
When x=0, y = 10
When y=0, x = -3.3333333333333
Farhan says that 26.97 is equal to 27 when rounded off to 1 decimal place because he thinks that 27.0 is the same as 27. Do you agree with him? Explain your answer. Plz quickly give the answer, I will mark you as brainlist if you solve it for me with steps.
The cost of a cab ride is $10 for the first mile or part of a mile. It costs $3 for each additional mile or part of a mile and all cab rides are less than six miles. The cost is modeled by the function C(m), where "m" is the number of miles. The driver's pay "P" is a function of the cost "C" and is modeled by P(C) = 0.60C. What is the domain of P(C)?
Answer: {10, 13, 16, 19, 22, 25}
Step-by-step explanation:
Cab ride cost for first mile = $10
Additional mile cost = $3
Therefore, the following cab cost for different miles are analysed:
Cab ride cost for first mile = $10
Cab ride cost for second mile = $10 + $3 = $13
Cab ride cost for third mile = $10 + $3 + $3 = $16
Cab ride cost for fourth mile = $10 + $3 + $3 + $3 = $19
Cab ride cost for fifth mile = $10 + $3 + $3 + $3 + $3 = $22
Cab ride cost for sixth mile = $10 + $3 + $3 + $3 + $3 + $3= $25
Therefore, th domain of P(C) will be equal to {10, 13, 16, 19, 22, 25}
Answer: B) {10, 13, 16, 19, 22, 25}
Step-by-step explanation:
Jason kicked a soccer ball that was lying on the ground. It was in the air for 3 seconds before it hit the ground again. While the soccer ball was in the air it reached a maximum height of 30 ft. The height of the ball while in the air is the function of time.
Answer:
a) The domain is 0 < t < 3
The range is 0 < s < 30
b) The x-intercept are the times at the start and return of the ball to the ground
The y-intercept, is the starting height of the ball = 0
c) The axis of symmetry is the line t = 1.5, and the maximum function is the value of the height at the vertex of the parabola, they represent the turning point of the function
d) The rate of change of the function is therefore given by the derivative of function which is;
ds/dt = d(14.715×t - 1/2×9.81×t²)dt = 14.714 - 9.81×t which is the velocity of the ball at time t
∴ ds/dt = 14.714 - 9.81×t
Which is the velocity of the ball at time t
Step-by-step explanation:
The duration the soccer ball was in the air = 3 s
The maximum height reached by the soccer ball = 30 ft.
Considering the vertical motion of the ball, we have;
v = u - gt
s = u·t + 1/2·g·t²
v² = u² - 2×g×s
Where;
v = The final velocity of the ball = 0 m/s
u = The initial velocity of the ball
g = The acceleration due to gravity = 9.81 m/s²
s = The height the ball reaches = 30 ft
Given that the time to maximum height = Half the total time it was in the air, we have;
v = u - gt
v = 0 at maximum height
u = gt = 9.81 × 3/2 = 14.715 m/s
The vertical velocity = 14.715 m/s
Therefore, we have;
s ≈ 14.715×t - 1/2×9.81×t²
a) The domain is 0 < t < 3
The range is 0 < s < 30
b) The x and y-intercept are;
x-intercept, s = 0, gives;
0 ≈ 14.715×t - 1/2×9.81×t²
From which we have, t = 0 or t = 3, which are the times at the start and return of the ball to the ground
The x-intercept are the times at the start and return of the ball to the ground
The y-intercept, t = 0, gives;
s = 14.715×t - 1/2×9.81×t² = 14.715×0 - 1/2×9.81×0 = 0
Therefore, at the time t = 0 the ball is lying on the ground, height = 0
∴ The y-intercept, is the starting height of the ball = 0
c) The axis of symmetry is the line t = 1.5, and the maximum function is the value of the height at the vertex of the parabola
They represent the turning point of the function
d) The rate of change of the function is therefore given by the derivative of function which is;
ds/dt = d(14.715×t - 1/2×9.81×t²)dt = 14.714 - 9.81×t
∴ ds/dt = 14.714 - 9.81×t
Which is the velocity of the ball at time t.
Danny charges $30 for 3 hours of swimming lessons, Martin charges $44 for 4 hours of swimming lessons. Who offers a better deal?
Answer:
Danny
Step-by-step explanation:
danny has a better offer
Which side of triangle XYZ is the longest. x=62, y=55, and z=63
Answer: XY should be the answer
Step-by-step explanation: A guess I took and got right
For what values of [tex]x[/tex] is the product [tex](x+5)(x-1)[/tex] positive? Explain.
Answer:
[tex]x<-5\text{ or } x>1[/tex]
Step-by-step explanation:
We have:
[tex](x+5)(x-1)[/tex]
And we want to find the value of x such that the expression is positive. So, we can write this as the following inequality:
[tex](x+5)(x-1)>0[/tex]
Solve for the inequality. First, we can solve for the zeros like a normal quadratic. So, pretend the inequality is with an equal sign:
[tex](x+5)(x-1)=0[/tex]
Zero Product Property:
[tex]x+5=0\text{ or } x-1=0[/tex]
On the left, subtract 5.
On the right, add 1.
So, our zeros are:
[tex]x=-5, 1[/tex]
Since our inequality is a greater than, our answer is an "or" inequality with our answer being all the values to the left of our lesser zero and all the values to the right of our greater zero.
So, our solution is:
[tex]x<-5\text{ or } x>1[/tex]
And we're done!
Answer:
The regions where (x+5) (x-1) >0 is x< -5 or x>1
Step-by-step explanation:
(x+5) (x-1) >0
First find the zeros
(x+5) =0 x-1 =0
x= -5 x=1
We then have to check the regions
x< -5 -5 <x<1 x>1
First x< -5
(x+5) (x-1)
X+5 will be negative ( x-1) will be negative
(-) * (-) = + so the values will be positive
Then -5 <x<1
X+5 will be positive ( x-1) will be negative
( +) * (-) will be negative
First x>1
(x+5) (x-1)
X+5 will be positive ( x-1) will be positive
(+) * (+) = + so the values will be positive
The regions where (x+5) (x-1) >0 is x< -5 or x>1
A = -3
B = -1/3
C = 1/3
D = 3
Answer:
D
Step-by-step explanation:
The slope m is a measure of the rate of change
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, - 1) ← 2 points on the line
m = [tex]\frac{-1+4}{1-0}[/tex] = [tex]\frac{3}{1}[/tex] = 3 → D
