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svet-max [94.6K]
2 years ago
9

the diagonal of a tv is 26 inches long assuming that this diagonal forms a tv pair 30-60-90 right triangles what are the exact l

ength and width of the tv

Mathematics
1 answer:
Alexxandr [17]2 years ago
3 0
It is an application of Pythagorean Theorem

And it is clear that the lower angle is 30 and the apex angle is 60 (this is how always normal TVs look like) ... refer to the image I attached

So, to calculate the width and the length:

\frac{length}{26} =cos(30)\\~\\length=26*cos(30)=13 \sqrt{3} ~~in

\frac{width}{26} =sin(30)\\~\\width=26*sin(60)=13~~in


You can after that round the length to be 22.517 in



Hope you got the idea

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What is 12% sales tax on a $4.25 6-pack of soda?
Pachacha [2.7K]

Answer: $0.51

Step-by-step explanation:

12/100 of $4.25 = $0.51

Amount payable plus sales tax for a 6- pack of soda will now be $4.25 + $0.51 = $4.76

8 0
1 year ago
billy is creating a circular garden divided into 8 equal sections. The diameter of the garden is 12 feet. what is the area, in s
xxTIMURxx [149]
Area=πr^2

 find the area then divide by 8


we know that diameter=2radius or diameter/2=radius so 
12=diameter
12/2=radius=6
subsitute
area=π(6)^2
area=36π
divide 36π by 8
36π/8=18π/4=9π/2π=4.5π
area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get
4.5(3.14159)=area=14.1372 square feet or 14.14 square feet
5 0
2 years ago
A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution belo
Reika [66]

Answer:

c. 2

Step-by-step explanation:

Given : X = No. of hours worked

           No. of people work for the manager = 50

           X = 3, 4 , 5 , 6 , 7, 8

           P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06

To Find : No. of people work for four hours

Solution : First understand the fact that sum of all probabilities is equal to 1

So, sum of all values of P(X) = 1

⇒0.1+?+0.14+0.3+0.36+0.06 = 1

⇒0.96+? = 1

⇒?= 1-0.96

⇒? = 0.04

So, the probability of no. of people worked for 4 hours is 0.04.

⇒P(4)=0.04

Thus , To calculate no. of people work for four hours :

0.04\times 50

⇒ 2 no. of people work for four hours per shift .


5 0
1 year ago
Read 2 more answers
A-B=18 A:B is equivalent to 11:5
densk [106]
One way is to use brute force (find bigger equivalent ratios and add them)
11:5
to make them bigger, we multiply both by the same number 
11:5
11+5=16 nope
11:5 times 5 to both=55:25
add 
55+25=80
we can just add the numbers before multiplying and then multiply after

11+5=16
16 times what=18
divide both sides by 16
1.125=what
we need to multiply each by 1.125
11:5 times 1.125 to both =12.375 : 5.625
12.375+5.625=18

a=12.375
b=5.625

Hope this helps :)
8 0
2 years ago
Read 2 more answers
Which congruence theorem can be used to prove △MLQ ≅ △NPQ?<br><br> AAS <br> SSS <br> ASA <br> SAS
storchak [24]
Answer: SSS

Proof:
In ΔMLQ and ΔNPQ,
MQ = NQ (given) S
Since Q is the midpoint of LP, by definition, LQ = QP (S)
LM = PN (given) S

∴ ΔMLQ ≡ ΔNPQ (SSS)
4 0
2 years ago
Read 2 more answers
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