Answer:
The TV is 64.3 in. wide.
Step-by-step explanation:
a
2
+(63)
2
=
\,\,90^{2}
90
2
Use the Pythagorean Theorem.
a^{2}+3969=
a
2
+3969=
\,\,8100
8100
Simplify.
-3969\phantom{=}
−3969=
\,\,-3969
−3969
Subtract 3969 from both sides.
a^{2}=
a
2
=
\,\,4131
4131
\sqrt{a^{2}}=
a
2
=
\,\,\pm\sqrt{4131}
±
4131
Square root both sides.
a=
a=
\,\,64.272855...
64.272855...
Simplify. Ignore negative root, as length must be positive.
a\approx
a≈
\,\,64.3
64.3
Round to the nearest tenth.
The rectangle TV's width is determined by the formula W = 64.3 inches.
What is the diagonal of a rectangle?The formula determines a rectangle's diagonal.
From the Pythagoras Theorem , The hypotenuse² = base² + height² , and
Diagonal of a Rectangle = √ ( Length )² + ( Width )²
Given data ,
Let D represent the diagonal of the rectangular TV.
D is now equal to 90 inches.
Let the TV's rectangle size be 63 inches.
Let W be the TV's rectangular width.
And , Diagonal of a Rectangle = √ ( Length )² + ( Width )²
D² = L² + W²
90² = 63² + W²
Subtracting 63² on both sides of the equation , we get
W² = 90² - 63²
On simplifying the equation , we get
W² = 4131
Taking square roots , we get
W = √4131 inches
W = 64.3 inches
Thus , W is equal to 64.3 inches.
Hence, the rectangular TV is 64.3 inches wide.
Go here to learn more about rectangle's diagonal.
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Casey spends $29.00 on coffee each month. About how much dose Casey spend on coffee over 7 months ?
Answer:
203 dollars
Step-by-step explanation:
29 x 7
WHat is the largest multiple of 5 that is less than 24
Answer:
20
Step-by-step explanation:
5*4=20
5*5=25, but it is bigger than 24.
So the ans is 20
If you rolled two dice 5 times, how many times would you expect to get a product of 10?
I will report if you delete or give the link as the answer.
Answer:
about 2
Step-by-step explanation:
you see there is a chance you might not get 10 but i belive its 2 times you will
roll a ten bc its all just random
PLEASE HELP ME, ITS DUE RN
Answer:
here you go
Step-by-step explanation:
35+a+b+c=270
35+a=90
a+b=180
35+90+c=180
Solve these problems
A= 12+4×2-7
B= 2×(-3)+8
Answer:
A. 13
B. 2
Step-by-step explanation:
You use order of operations.
A. 4x2=8+12=20-7=13
B. 2x-3=-6+8=2
Someone pls solve this math puzzle.
Answer:
x (blue circle thing) = 46
y (dna) = -63
z (molecules) = 52
Step-by-step explanation:
sandwiches are being bought bye us--passive to active
what is pie over 2 pls this is needed now
big reward
anyone know the answer? its algrebra
Does the equation represent an exponential function?
y = 4 • 5x
Yes
No
Answer:
yes is rhe anwers that was that i put
PLEASE HELP ASAP!! will mark!find the zeros of the function. no links
the answer is x=-1 or x= 5
|a-5|, if a>5
Please help me
Answer:
answer is just a-5
Step-by-step explanation:
its is a-5 without absolute value
1. Which expression is equivalent to 8 - 3?
A 1 x 5
B 3-8
C 8-5
ANSWER QUICK PLZZ NO WEBSITE
Answer:
B I am guessing, not that good at english, though
Which point represents a number whose absolute value is 4?
please no links or files.
and if you were able to, could you please explain how? I’m not good at this :,)
Answer:
N
-4s absolute value or distance from 0 is 4
Step-by-step explanation:
as a example -8s absolute value is 8 , 10s absolute value is 10 basically just make the number positive then that is the absolute value.
Answer:
N
Step-by-step explanation:
how to explain but if any number is given in - the answer will be that numbers +(sorry if this doesn't make sense
6(x+1)=24 solution to equation
Mr. Kreppein started the day off with three cups of coffee. He has several meetings to attend today and knows that each meeting will require 2cups of coffee. if his system will allow 35 cups of coffee. wright an equality that he can solve to find how many meetings he can attend.
Answer:
[tex]2x+3 \geq 35[/tex]
x is meetings
Step-by-step explanation:
If a car's gas tank has 15 gallons of gas in it, and the gauge says the tank is 75% full, then how many gallons can the entire tank hold?
12
20 gallons
24
11.25
Answer:
20 gallons
Step-by-step explanation:
set up proportion
15/x=75/100
cross multiply
75x=1500
x=20 gallons
the ball rolls downhill, its kinetic energy increases and its potential energy ________
Maximum
Minimum
.
The Ball Rolls Downhill, It's Kinetic Energy Increases And It's Potential Energy Maximum.
Hope Helps! :)
[tex] \: \: [/tex]
Need this for a homework assignment, have been stuck for an hour and a half.
What is the greatest common factor (GCF) of this expression?
Answer:
B
Step-by-step explanation:
Approximately how tall is the streetlight? Round your answer to the nearest tenth.
Note: your teacher may not want you to enter "feet" and instead may just want the number only.
===================================================
Work Shown:
tan(angle) = opposite/adjacent
tan(40) = h/20
20*tan(40) = h
h = 20*tan(40)
h = 16.7819926 which is approximate
h = 16.8
The streetlamp is approximately 16.8 ft tall.
When using your calculator, make sure it's in degree mode. One way to check is to compute something like tan(45) and you should get 1 as a result.
Steve ran a 26-mile race at an average speed of 4 miles per hour. If Adam ran the same race at an average speed of 3 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?
Answer:
Adam took 132 minutes longer than Steve.
Step-by-step explanation:
Let's find the time that takes Steve and Adam to complete the race. We will use the equation:
[tex] V = \frac{d}{t} [/tex]
Where:
d: is the distance = 26 miles
t: is the time =?
V: is the speed
For Steve we have the following time:
[tex] t_{s} = \frac{d}{V_{s}} = \frac{26 mi}{4 mi/h} = 6.5 h*\frac{60 min}{1 h} = 390 min [/tex]
And the time of Adam is:
[tex] t_{a} = \frac{d}{V_{a}} = \frac{26 mi}{3 mi/h} = 8.7 h*\frac{60 min}{1 h} = 522 min [/tex]
So, the difference between the time of Adam and Steve is:
[tex] \Delta t = t_{a} - t_{s} = 522 min - 390 min = 132 min [/tex]
Hence, Adam took 132 minutes longer than Steve.
I hope it helps you!
Mr.Rosado is making a stop at his favorite ice cream shop.
He can choose on flavor of ice cream: chocolate, strawberry, vanilla or rocky road.
He can put his ice cream in a sugar cone, waffle cone or a cup.
What is the p(chocolate ice cream AND a waffle cone)?
Answer:
1/12
Step-by-step explanation:
Assuming his choices are equally likely (important: he's choosing randomly)...
Probability of selecting chocolate: 1/4 (1 of 4 equally likely choices)
Probability of selecting waffle cone: 1/3
Probability of selecting both: 1/4 x 1/3 = 1/12
Now, if you'll excuse me, I'm off to get ice cream! :-)
Find the area of a circle with a radius of 3 (AREA) explain
If you vertically stretch the exponential function, f(x) = 2%, by a factor of 3,
what is the equation of the new function?
A. g(x) = • 2*
B. g(x) = 3.2%
C. g(x) = 2.3%
D. g(x) = 23x
If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
Exponential functionThe standard exponential function is expressed as:
y = ab^x
The value of x determines the nature of a graph whether vertical or horizontal stretch.
If x > 1, it is a vertical stretch
Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
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HELP ME PLEASE, ILL GIVE BRANILIST FOR THE BEST CLEAR ANSWER :
William has a new puppy that has completely destroyed the carpet in his living room. If he wants to replace the carpet in the room, which is the best measure?
a
surface area
b
area
c
volume
Answer:
C. Area
hope this helped
Given that one standard deviation below the mean is 24 and one standard deviation above the mean is 31, what is the mean l?
A)55
B)34
C)27.5
D)28
Answer:
C. 27.5
Step-by-step explanation:
since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.
we would first subtract the two values
31-24 = 7we would then divide that number by 2 since we are finding the average between the two numbers
7/2 = 3.5using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)
24+3.5 = 27.531-3.5 = 27.5since both calculated numbers were equal, we know that we calculated the mean correctly.
A bunch of ballons contains many different colors. red 17 purple 11 orange 3 green 1 yellow 2 What is the probability that a randomly selected balloon will be red? Write your answer as a fraction or whole number.
Answer: 1/2
Step-by-step explanation:
Number of red balloons = 17
Number of purple balloons = 11
Number of orange balloons = 3
Number of green balloons = 1
Number of yellow balloons = 2
Total number of balloons = 34
The probability that a randomly selected balloon will be red will be:
= Number of red balloons/Total number of balloons
= 17/34
= 1/2
choose vertical or adjacent to tell how each pair of angles is related
Answer:
1 and 2 is adjacent. 1 and 3 are vertical. 3 and 4 are adjacent. 2 and 4 are vertical angles.
Angles ∠1 and ∠2 as well as angles ∠3 and ∠4 are linear and supplementary angles. And angles ∠2 and ∠4 as well as ∠1 and ∠3 are vertically opposite angles.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
Angles ∠1 and ∠2 are linear and supplementary angles.
Angles ∠1 and ∠3 are vertically opposite angles.
Angles ∠3 and ∠4 are linear and supplementary angles.
Angles ∠2 and ∠4 are vertically opposite angles.
More about the angled link is given below.
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a garden has an area of 32 square feet what is the smallest possible perimeter
Answer:
24 feet
Step-by-step explanation:
factors that produce an area of 32:
1x32 Would give a perimeter of 66
2x16 Would give a perimeter of 36
4x8 Would give a perimeter of 24
Given the following arithmetic sequence find the formula.
Answer:
D. an = 4n
Step-by-step explanation:
The formula for finding a term of an arithmetic sequence is:
an = a1 + (n-1)d
where an is the nth term, a1 is the first term and d is the common difference between the terms.
To find d we can take any two adjacent terms and subtract one from the other. e.g. 8 - 4 = 4, 16-12 = 4 etc.
The common difference here is 4, and we can see that the first term of the sequence is also 4, therefore our formula now looks like this:
an = 4 + (n-1)4
Now we can just expand out the brackets to find the final answer:
an = 4 + 4n - 4
an = 4n
Hope this helped!