Answers
Answer:
Step-by-step explanation:
Comment
Use a^2 + b^2 = c^2b = 38c = 42a = ?Solution
a^2 + b^2 = c^2
a^2 + 38^2 = 42^2
a^2 + 1444 =1764 Subtract 1444 from both sides
a^2 + 1444 - 1444 = 1764 - 1444 Combine
a^2 = 320 Take the square root of both sides
√a^2 = √320
a = 17.89
Answer
The height of the TV screen is 17.89 inches
[tex]\huge \red \dag \underline {\rm {{{\color{orange}{Given ...}}}}} \red \dag[/tex]
Diagonal of TV screen = 42 inchesBase of TV screen = 38 inches[tex]\huge \red \dag \underline {\rm {{{\color{orange}{To \: Find ...}}}}} \red \dag[/tex]
Height of TV[tex]\huge \red \dag \underline {\rm {{{\color{orange}{Solution ...}}}}} \red \dag[/tex]
Answer according to the figure in attachment
In this situation we use Pythagoras theorem.
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.According to Pythagoras theorem[tex]\Large❏ \: \Large\begin{gathered} {\underline{\boxed{ \tt {\blue{BD² = BC² + DC²}}}}}\end{gathered}[/tex]
BD = 42 inchesBC = 38 inchesDC = ?We need to find the DC.
Substituting the values in Pythagoras theorem
[tex]\large\purple\implies \tt \large \:BD² = BC² + DC²[/tex]
[tex]\large\purple\implies \tt \large \: {42}^{2} \: = \: {38}^{2} \: + \: DC²[/tex]
[tex]\large\purple\implies \tt \large \:1764 \: = \: 1444 \: + \: DC²[/tex]
[tex]\large\purple\implies \tt \large \:1764 \: - \: 1444 \: = \: DC²[/tex]
[tex]\large\purple\implies \tt \large \:320 \: = \: DC²[/tex]
[tex]\large\purple\implies \tt \large \: \sqrt{320} \: = \: DC[/tex]
[tex]\large\purple\implies \tt \large \:17.88 \: = \: DC[/tex]
Hence , the height of TV is 17.88 inches
Related Questions
3x^2+5x-28=0 solve this for me please
Answers
Answer:
x= 7/3
x=-4
Step-by-step explanation:
Use the quadratic formula
a= 3, b=5, c=-28
-5± [tex]\sqrt{5^2-4*3(-28)}[/tex]
x= _________________
2.3
Simplfy
[tex]x=\frac{-5+19}{6} \\x=\frac{-5-19}{6}[/tex]
Which fraction is less then 1/3 or 1/5
Answers
Answer:
1/12
Step-by-step explanation:
it is correct i know it is
Answer: 1/5 is
Step-by-step explanation:
1/5 = 0.2
1/3 = 0.333
PLEASE HELP circle a has area 500in squared. the diameter of circle b is three times the diameter of circle a. esitmate the area of circle b.
Answers
Answer:
Step-by-step explanation:
r and d are the radius and diameter of a, respectively.
area of a = πr² = 500 in²
r = √500/√π = 10√5/√π
d = 20√5/√π
radius of b = 3r = 30√5/√π
area of b = π(30√5/√π)² = π(4500/π) = 4500 in²
How many edges does the following shape have?
Answers
Answer:
It has 8 edges
Hope that helps!
Can someone help me out with this one I will give 20 points
Answers
Answer:
8(4k-12)
Step-by-step explanation:
you can really only check and guess here and it happens to be the second choice 8(4k-12)
8(4k-12)
32k -96
If Saanvi paid $20.80 for a large pizza from Round Table after using a 20% coupon, what was the original price of the pizza? Please help
Answers
Answer:
$24.96
Step-by-step explanation:
20% of 20.80 is 4.16.
20.80 + 4.16 is 24.96. Boom. Done.
2/3 X +9 equals -18 what is x?
Answers
____________________________
decimal form: x = -40.5
____________________________
mixed number form: x = -40 1/2
____________________________
(please give thanks if this was helpful)
Answer:
-81/2
Step-by-step explanation:
2/3x+9=-18
2/3=-27 Minus 9 from each side
2/3=-27 Divide 2/3 from each side
x=-81/2
A crew of highway workers paved 9 mile in 20 minutes. If they work at the same rate, what portion of a mile
Will they pave in one hour?
A-1/150
B-2/45
C-2/5
D-5/2
Answers
-2/45.
Step-by-step explanation:
9 times 3 gives you 27 miles a hour. We are not done though. Now we have to find the portion of a mile they pave in one hour would be -2/45, which is B.
Find the surface area of each solid. Round to the nearest tenth if necessary.
8 ft
6.97
8 fi
18 ft
8 ft
the surface area is
sq. ft.
Answers
Answer: 993.6
Step-by-step explanation:
height*base*depth=Area
8*6.9= 55.2
55.2*18= 993.6
Sorry if i gave you the wrong answer, I am super sorry
GUYS DONT GO TO THIS LINK
https://www.adultpayperview.com/dispatcher/frontDoor?theaterId=7021&genreId=101&locale=en
Answers
Answer:
ok
Step-by-step explanation:
Answer:
alright thank you for the warning :)
Step-by-step explanation:
Kade purchased 2 gallons of chocolate milk. Malia purchased 6 quarts of chocolate milk. Who has more chocolate milk? *
10 points
Answers
Answer: Malia has more
Step-by-step explanation:
6>2
Malia has 6 which is greater than Kade's 2
In ΔTUV, t = 560 inches, v = 400 inches and ∠V=19°. Find all possible values of ∠T, to the nearest degree
Answers
Answer:
27 and 153 degrees
Step-by-step explanation:
Delta math
What is the equation of the line in slope-intercept form?
Answers
Answer: y = -2x
Step-by-step explanation:
10/7-2/7 show work please
Answers
They both have common denominators so you can just subtract.
10-7 - 2/7= 9/2
9/2 is an improper fraction, so we need to convert it into a mixed number.
9/2 = 4 1/2
Answer:
10/7 - 2/7= 5 1/7
Step-by-step explanation:
it 5 1./7
An electronics store is having a 15% off sale. Suppose the sale price(p) of a laptop is $495. Which statement are true for this stuation
A. P+ 0.15p represents the sales price
B. P- 0.15p represent the sales price
C. 0.85p represents the sales price
D. The sale price is 420.75
E. The sale price is 569.25
Please just give me the answer choices by the letter and not a photo i will give 15 points
Answers
Answer:
B, C, and D are true. 0.15price is 15% subtracted, 0.85 is with 15% subtracted, 420.75 is the sale price calculated.
A farmer wants to fence a rectangular area of 12km2 and then divide it in half with a fence parallel to one of its sides of the rectangle find the dimensions of the rectangle that will minimize the amount of fencing used
Answers
Answer:1,000 meters
Step-by-step explanation:
What is the value of the expression (2^4)^2
Answers
Answer:
256
Step-by-step explanation:
calculator app
1/4 rotation counterclockwise
Answers
Answer:
I think 9? form 12 counterclockwise
Which expression has a negative value?
−5⋅5⋅−5⋅−5⋅−5
−5⋅5⋅−5⋅−5
−5⋅−5⋅5
−5⋅−5
Answers
Answer: The answer would be B
Step-by-step explanation:
I had a test like this so I kinda know wut the answer is a few weeks or so ago but u need to multiply -5 • 5 (which would be negative since it has one negative sign) then multiply -5 • -5 (since it has another negative it’s positive) then u just multiply the answers that u got from the times 5 u did -bonus if it’s 1 negatives it’s a negative but if it’s 2 negatives it’s a positive
Answer:
The answer is B
Step-by-step explanation:
Find the measure of 44.
131
49
49
64 = [?]
Answers
Answer:
49
Step-by-step explanation:
alternate angles hope this helps
HELP ASAP PLS ANSWER THE QUESTION IN THE PIC I GIV BRAINLEST AND LOTS OF POINTS TO CORRECT ANSWER
Answers
Answer: A
Step-by-step explanation:
I crossed out the answers as I went and I got the answer A.
PLEASE HELP!! I'll RATE BEST!
Answers
Answer:
your answer would be 4/5
Step-by-step explanation:
Rewrite the equation as
x
2
=
16
25
.
x
2
=
16
25
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x
=
±
√
16
25
Simplify the right side of the equation.
Tap for more steps...
x
=
±
4
5
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
=
4
5
,
−
4
5
The result can be shown in multiple forms.
Exact Form:
x
=
4
5
,
−
4
5
Decimal Form:
x
=
0.8
,
−
0.8
how to graph 2x-3y=-6
Answers
Answer:
Step-by-step explanation:
509
х
Z
45°
529
In the figure, x=
and z=
Answers
Answer:
x = 95°
y = 147°
z = 128°
Step-by-step explanation:
∡x is the sum of 50 and 45, deducted from 180
∡y = 95 + 52, deducted from 180
∡z = 180 - 52
5x-y=-6
y=-7x+6
find y and x and show work
Answers
Answer:
5x-y=-6.............1
y=-7x+6...........2
substituting value of y in equation 1
5x-(-7x+6)=-6
5x+7x-6=-6
12x=0
x=0/12=0
substituting value of x in equation 1
5×0-y=-6
y=6
$13,000 is deposited into a savings account with an annual interest rate of 3% compounded continuously. How much will be in the account after 5 years?
Round to the nearest cent.
$15,106.00
$15,103.85
$43,714.05
$66,979.54
Answers
Answer:
15,103.05
Step-by-step explanation:
Total amount in the saving account after 5 years in which the annual interest, compounded continuously, is $15,103.85.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{100n}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
$13,000 is deposited into a savings account with an annual interest rate of 3% compounded continuously.
The amount in account after 5 years can be calculated with the above formula as,
[tex]A=13000\times\left(1+\dfrac{3}{12\times100}\right)^{12\times5}\\A=15101.02[/tex]
The total amount in the saving account after 5 years in which the annual interest, compounded continuously, is $15,103..85.
Learn more about the compound interest here;
https://brainly.com/question/24274034
Find the coordinates for B, C, and D. Note line 1 must be perpendicular to line 2.
Answers
Answer:
B = (-b, a)
C = (a, 0)
D = (-b, 0)
Step-by-step explanation:
Line 1(L₁) passes through the point O(0, 0) and A(a, b). Hence the equation of L₁ is:
[tex]y-y_1=\frac{y_2-y_}{x_2-x_1}(x-x_1) \\\\y-0=\frac{b-0}{a-0} (x-0)\\\\ay -bx=0[/tex]
Point C has the same x coordinate as point A. Since point C is on the origin line (y = 0 line), its y coordinate is 0.
The coordinate of C = (a, 0)
L₁ has a slope of b/a. Since L₂ is perpendicular to L₁, the product of their slope is -1. Hence slope of L₂ = -a/b
L₂ has a slope of -a/b and pass through the origin. The equation of L₂ is:
[tex]y-y_1=m(x-x_1)\\\\y-0=\frac{-a}{b}(x-0)\\\\y= \frac{-a}{b}x[/tex]
But OD = AC
AC = b
Hence OD = AC = b
The y coordinate of D is 0. Let its x coordinate be -x. Hence D = (-x, 0)
[tex]OD=\sqrt{(-x-0)^2+(0-0)^2} \\\\OD=x\\\\OD=x=b\\\\x=b;-x=-b[/tex]
The coordinate of D is (-b, 0)
B has the same x coordinate as D. The y coordinate of B is gotten by using L₂ equation and substituting x = -b
y = (-a/b)(-b)
y = a
Coordinate of B = (-b, a)
Find the numerical answer to the summation given below.
75
Σ(6η + 10)
n=0
Answers
Answer:
[tex]17860[/tex]
Step-by-step explanation:
To answer this, let's recall a few properties of summations:
[tex]\sum_{i=0}^{n}(a_i+b_i)=\sum_{i=0}^{n}a_i+\sum_{i=0}^{n}b_i\\\\ \sum_{i=0}^{n}(c*a_i)=c*\sum_{i=0}^{n}(a_i)\\\\ \sum_{i=0}^{n}(c)=(n+1)*c[/tex]
With these in mind, we can rewrite the given summation as follows:
[tex]\sum_{n=0}^{75}(6n+10)=\sum_{n=0}^{75}6n+\sum_{n=0}^{75}10=6*\sum_{n=0}^{75}n+76*10\\\\ =6*\frac{75*76}{2} +760=3*75*76+760=17860[/tex]
Please help! ASAP
A florist had 1,800 roses, tulips, and orchids in her shop. 55% of the flowers were
roses. After she sold some of the roses, the percent of the flowers that were
roses became 10%. How many roses were sold?
Answers
.55x1800= 990
10% of 990 roses is 99 (99 is left over)
990-99= 891
Calculate the unit rate. Label your work properly. Show your fraction work.
Math question : eating 3/4 pizza in 5/6 hour
Answers
Answer:
(9/10) of a pizza per hour.
Step-by-step explanation:
(3/4)*4=3
(5/6)*4= 3hr 20 mins
[3 (1/3)] / [3 (1/3)]=1
3 / [3 (1/3)]= 0.9
x. 1hr
x=3/4 •1 ÷ 5/6
x=3/4 • 6/5
x=18/20
x=9/10
Rate is 9/10 of pizza in one hour