The dimensions of a screen are 21 ft by 20 ft. Find the length of the diagonal .
Answers
Answer:
29 ft
Step-by-step explanation:
the screens have 90 degree angles so they form right triangles with the diagonal, so use Pythagorean theorem to solve for the diagonal
diagonal² = 21² +20² , square and square root both sides of the equation
diagonal = √441+400, add
diagonal = √841, square root
diagonal = 29ft
Related Questions
4(a)+8-a,if a=-2 evaluate each expression
Answers
Answer:
2
Step-by-step explanation:
4(a)+8-a
Combine like terms
4a-a +8
3a+8
Let a = -2
3(-2)+8
-6 +8
2
1) Jack and Jill have a Jill have a combined age of 25. Jack is 3 years older than Jill. How old are they?
2) A rectangle has an area of x^2+7x+12. Find the length and the width of the rectangle.
Answers
Answer:
1.) Jill = 11 yrs & Jack = 14 yrs. | 2.) (x + 4)(x + 3)
Step-by-step explanation:
1.)
Let j = Jill's age.
[tex]j+(j+3)=25\\2j+3=25\\2j=22\\j=11\\\\\\(11)+3=14[/tex]
Therefore, Jill is 11 and Jack is 14.
2.)
[tex]x^2+7x+12\\(x+4)(x+3)[/tex]
Twice the difference between a number and 4 is twenty. Find the number.
А. 8
B. 9
C. 12
D. 14
Please help!!!
Answers
Answer:
D 14
Step-by-step explanation:
Let x be the number
2(x-4) = 20
Divide each side by 2
2/2(x-4) = 20/2
x-4 = 10
Add 4 to each side
x-4+4 = 10+4
x = 14
Answer:
The number is 14
Step-by-step explanation:
Let's call this unknown number of x:
2×(x – 4) = 20
2x – 8 = 20
2x = 20 + 8
2x = 28
x = 28/2
x = 14
*WILL MARK BRAINLIEST* The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational denominator.
Answers
Answer: 5sqrt2, 10sqrt2/2
Step-by-step explanation:
The isosceles triangle, or 45-45-90 rule states that the hypotenuse is x × square root of 2.
Divide the hypotenuse, 10, by sqrt 2 to get 5sqrt2
However , if you're looking to keep it in fraction form, you will need to rationalize the denominator. Multiply the numerator and denominator to get the fraction, 10sqrt2/2
Find the center and radius of the circle and sketch its graph
X^2+y^2=9
Answers
Answer:
Centre (0,0)
Radius √9 = 3
I've attached a graph if the circle with it
Answered by GAUTHMATH
PLZ HELP ME I NEED TO GET THIS RIGHT 20 POINTS
1.) the table shows the weight in kilograms of 10 players on a college basketball team.
Weight (kg)
[54, 52, 65, 63, 62, 60, 58, 53, 51, 50]
Which statement is NOT true about this data?
A.) the median is one of the values listed in the table
B.) the mode of the data is 60
C.) the mean is less than the median
D.) the data set had no matter
2.) This table shows the amount of money in dollars that a group of seventh grade students spend on food each day.
Carol=2
Anna=3
Sophie=11
Tom=3
Jackie=1
Which measure of central tendency is most affected by the amount of money that Sophie spends?
A.) the median only
B.) the mean only
C.) the mode only
D.) the mean and the median
3.) This table shows the results of a survey that asked a group of people what time of day their favorite tv show aired.
5:00=3
6:00=5
7:00=10
8:00=21
9:00=25
10:00=15
11:00=12
What time corresponds to the mode of this set of data?
A.) 8:00 pm
B.) 9:00 pm
C.) 10:00 pm
D.) 11:00 pm
Answers
Answer:
A, B, B
Step-by-step explanation:
2) B. The mean or Adding all numbers together and dividing by total number of added digits is most affected by that much higher number. The mode, or most repeated number, is unaffected completely. As is the middle or median number in the list going from lowest to highest.
3). B. 9:00 pm is the most repeated survey result. Simple as that.
HELP PLZ
Part A Translate the sentence into an expression.
2 less than 9 times h
Part B Create a scenario (word problem) using the expression above.
Part C Evaluate the expression if h is 1/3
Answers
Step-by-step explanation:
A
9×h - 2
B
the baseline of the triangle is 2 units less than 9 times the height long.
C
h = 1/3
9×1/3 - 2 = 3 - 2 = 1
I need help asap!!!!Please explain the answer
Answers
Answer:
5th option
Step-by-step explanation:
The secant- tangent angle DCB is half the difference of the intercepted arcs, that is
∠ 1 = [tex]\frac{1}{2}[/tex] ( AD - BD)
Use index notation to write 248 as a product of its factor
Answers
Answer:
2^3 x 31
Step-by-step explanation:
31 is a prime number
The buyer for a chain of stores purchased kitchen tables in bulk, paying $32 each. The stores will sell each kitchen table for $58. What percentage is the mark-up?
Answers
Answer:
The markup is 81.25%
Step-by-step explanation:
Take the new price and subtract the original price
58 - 32
26
Divide by the original price
26/32
.8125
Change to percent form
81.25%
The markup is 81.25%
Answer it please ↓↓
Fubuki drives 18.4 miles in 16 minutes. He passes a sign which gives the speed limit as 60 mph. By how much, in mph, did Fubuki's average speed exceed the speed limit?
Answers
Step-by-step explanation:
hope this helps to u......
HELP ME !! find the value of x
Answers
Answer:
ERROR
Step-by-step explanation:
Identify the equation of the circle that has its center at (7, -24) and passes through the origin.
Answers
Answer:
[tex](x-7)^{2}[/tex] + [tex](y+24)^{2}[/tex] = [tex]625[/tex]Step-by-step explanation:
Solve for 2. Round to the nearest tenth, if necessary.
135°
X
78
BO
Submit
answer
Answer: 2 =
Submit Answer
PLS HELP I really need to get this done
Answers
Answer:
x = 63.9
Step-by-step explanation:
Since this is a right triangle, we can us trig functions
cos theta = adj/ hypotenuse
cos 35 = x/78
78 cos 35 =x
x=63.89385
Rounding to the nearest tenth
x = 63.9
I need help plss ( math ) SOMEONE ASAP
Answers
26a)729
b)2,457.6
c)3,500
d)8,100
e) 89,600
Step-by-step explanation:
just multiply first and divide with upper number to the lower
A fencing company charges $22per foot to install a wood fence around a rectangular pool area that is 20 feet wide and 38 feet long? pls help me
Answers
I know that the fencing company charges $22 per foot. I can multiply 116 x 22 to give me $2552. The answer is $2552.
HELP ME SOLVE THIS PLEASE
Answers
3025 to binary octal and base 5
Answers
Answer:
for binary 101111010001. for octal 5721. for base 5 - 44100
Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.
Answers
Answer:
Hello,
Step-by-step explanation:
Q.5(b) The population {(P) in millions} of a country is estimated by the function, P=125e0.035t, t = time measured in years since 1990. (a) what is the population expected to equal in year 2000 (b) determine the expression for the instantaneous rate of change in the population (c) what is the instantaneous rate of change in the population expected to equal in year 2000.
[tex]P(t)=125*e^{0.035*t}\\a)\\P(2000)=125*e^{0.035*(2000-1990)}=177.38...\\\\b)\\P'(t)=125*0.035*e^{0.035*t}\\\\c)\\\\P'(2000)=125*0.035*e^{0.035*(2000-1990)}=6.2084...[/tex]
Kathryn plants two different types of tomato plant. She records the number of tomatoes that she picks from each plant every day. Her records are shown below:
Plant A: 4, 6, 7, 3, 5, 2, 1, 3, 6, 5
Plant B: 5, 6, 7, 6, 8, 9, 6, 7, 7, 9
Which plant has the more consistent yield of tomatoes?
not enough information to tell
they produce about the same amount of plants
Plant A
Plant B
Answers
Answer:
Plant B
Step-by-step explanation:
When you compare the number of tomatoes she picks from plant B with plant A, you will notice that plant B has not produced less tomatoes than plant A in any day but it has either produced the same or more number of tomatoes.
if tolu collects a loan of #250,000 from a bank at the rate of 11 whole number 1 over 2% interest how much will she pay as interest at the end of the year
Answers
Answer:
# 28750
Step-by-step explanation:
Intrest = P. A. * Intrest Rate * Time
Intrest = 250000 * 11.5/100 = 28750
I need help to find y=
Answers
Answer:
I know but I will not tell you have to do by self
Rewrite in simplest radical form the problem in the image below. Show and explain each step. Thank you for your time and help.
Answers
Answer:
Hello,
Step-by-step explanation:
[tex]\dfrac{x^{\frac{5}{6}} }{x^{\frac{1}{6}} } \\\\=x^{\frac{5}{6} -\frac{1}{6} }\\\\=x^{\frac{4}{6} }\\\\=x^{\frac{2}{3} }\\\\=\sqrt[3]{x^2}[/tex]
Hi there!
Look the picture for your answer.
Hope it helps!
Evaluate the expression when a=-7 and x=6 .
X-2a
Answers
Answer:
=X-2a
= 6- 2× (-7)
= 6 + 14
= 20
✌✌✌✌
x²+x=0
x³-25x=0
x²=4x
4x²-4x=1
Answers
Answer:
x²+ x = 0
x ( x +1 ) = 0
x = -1
x³-25x=0
x ( x² - 25 ) = 0
x² = 25
x = 5
x²=4x
x² - 4x = 0
x ( x- 4 ) = 0
x = 4
4x²-4x=1
4x²-4x - 1 = 0
4 x² - 2x - 2x - 1 = 0
2x ( 2x - 1 ) - 1 ( 2x- 1 ) = 0
2x- 1 ) ² = 0
2x = 1
x = 1/ 2
mark me as brainliest
The tables show how the dollar to euro conversion rate changed during one day.
Khalil changed $500 into euros (£).
How many more euros did Khalil receive if he changed his money at the highest rate compared to the lowest rate?
Answers
Answer:
£10.1
Step-by-step explanation:
Highest exchange rate=1.3401
Lowest exchange rate=1.3199
The money Khan would have received more if he exchanged currencies at the highest rate compared to the lowest rate=500*(1.3401-1.3199)=£10.1
Point slope formula.. help
Answers
========================================================
Explanation:
We'll need the slope first
m = slope
m = (y2-y1)/(x2-x1)
m = (0-(-4))/(-3-(-5))
m = (0+4)/(-3+5)
m = 4/2
m = 2
The slope is 2.
Next, pick either of the two given points to play the role of [tex](x_1,y_1)[/tex]
Let's say we picked on (-5,-4). The order doesn't matter so you could easily pick the other point as well.
We'll plug these items into the point slope equation below to solve for y.
[tex]y - y_1 = m(x - x_1)\\\\y - (-4) = 2(x - (-5))\\\\y + 4 = 2(x +5)\\\\y + 4 = 2x +10\\\\y = 2x +10-4\\\\y = 2x +6\\\\[/tex]
Or we could have picked on (-3,0). The m value stays the same (at m = 2)
[tex]y - y_1 = m(x - x_1)\\\\y - 0 = 2(x - (-3))\\\\y = 2(x +3)\\\\y = 2x+6\\\\[/tex]
This one takes a few less steps. Either way, we get to the same answer.
You only need to pick one of the points, but doing both of them helps show that the two points are on the same line. It helps confirm the answer.
-----------------------
Another way to check the answer is to plug the (x,y) coordinates into y = 2x+6 for each point.
So let's say we check (x,y) = (-5,-4)
y = 2x+6
-4 = 2(-5)+6 ... replace x with -5, replace y with -4
-4 = -10+6
-4 = -4
This confirms the first point. I'll let you check the second point.
Answer:
y = 2x+6
Step-by-step explanation:
Attached below is my graph
I graphed the two points, and formed a line
From the point (0,0), i counted the units till the first point the line touches on the y axis (6)
This is the y intercept
The slope-intercept form is written as y = mx+b
m = slope
b = y intercept
So so far we have y = mx + 6
The slope is the rise to the next point the line touches, over the run
You can see that as it rises 2, it runs 1
Rise / Run = 2/1 = 2
Slope = 2
Equation: y = 2x + 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which expression is equivalent to −24x+72?
−24(x−72)negative 24 times open paren x minus 72 close paren
−24(x−3)negative 24 times open paren x minus 3 close paren
24(x+3)24 times open paren x plus 3 close paren
24(x+72)
Answers
Answer:-24(x-3) = -24x (-24)(-3)
Step-by-step explanation:
Answer:
eat my hand where the pic
Step-by-step explanation:
yeah
HELP NOW - Please help me
100 POINTS
Answers
Answer:
SAS
43ft
Step-by-step explanation:
We know that two sides are equal
PQ = ST and QR = TU and the angle between them is equal Q = T
We can use the SAS (side angle side)
Since the triangles are congruent
PR = SU
6y+5 = 8y
Subtract 6y from each side
6y+5-6y = 8y-6y
5 = 2y
Divide by 2
5/2 = y
2.5 = y
PR = ST = 8y = 8(2.5) =20
The perimeter is 9+14+20 = 43
Answer:
B. =35ft
Step-by-step explanation:
The perimeter of a right angled triangle is a+b+c
which is 9+4+6y+5 =90
collect like terms
9+4+5+6y=90
18 + 6y = 90
6y = 90 - 18
6y= 72
divide both sides by 6
6y/6 = 72/6
y = 12
so therefore, the perimeter of ∆PQR is
9 + 12 + 14
= 35ft
when is it easy to show if a set is closed or not closed?
Answers
Answer:i think its if the dots are open they arent closed but if they are filled in its closed same with () and [] if its (x,y) then its not able to be used but if its [x,y] then it is able to be used
Step-by-step explanation:
