the size of a rectangular computer screen is determined by the length of its diagonal. tom buys a 52cm screen that is 33 cm high. how Long is the base of the screen?

Answers

Answer 1

Answer:

40.20cm approx

Step-by-step explanation:

Step one

given data

We are told that the dimension of a computer screen

diagonal= 52 cm

height= 33cm

Length = ?

Required

The length of the base of the screen

Step two

Let us use Pythagoras theorem to find the length of the base

Hyp^2= Opp^2+ Adj^2

52^2= 33^2+ L^2

2704= 1089+L^2

L^2= 2704-1089

L^2= 1615

L=√1615

L= 40.20cm approx

The length is 40.20cm approx.


Related Questions

A machine wheel spins at a rate of 500 revolutions per minute. If the wheel has a diameter of 80 centimeters, what is the angular speed of the wheel, in radians per second? Round your answer to the nearest hundredth.

Answers

Answer: 3,140 radians per minute.

Step-by-step explanation:

We know that the wheel does 500 revolutions per minute.

This is called the frequency of the wheel, and this is written as:

f = 500 rev/min = 500 RPM

The angular speed (or Angular velocity) is written as

ω = 2*pi*f

And this quantity is in radians/unit of time.

where pi = 3.14

then:

ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min

This means that the angular velocity  (or angular speed) is 3,140 radians per minute.

Answer:

The answer is 52.36

Step-by-step explanation:

got it right on edge ;)

What is the complex conjugate?

Answers

Answer: each of two complex numbers having their real parts identical and their imaginary parts of equal magnitude but opposite sign.

Step-by-step explanation:

Answer:

In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude, but opposite in sign.

Step-by-step explanation:

Hello :)
Please help me solve this

Explain answer

Answers

Answer:

A. Store A will cost about $1.28 less

Step-by-step explanation:

Store A:

Unit rate = y/x

Using any given pair, say (3, 7.26),

Unit rate = 7.26/3 = $2.42 per gallon

So, of a customer is buying 16 gallons at Store A, he'd pay:

$2.42 * 16 = $38.72

Store B:

Unit rate = y/x

Using any point on the graph, say (20, 50),

Unit rate = 50/20 = $2.5 per gallon

So, of a customer is buying 16 gallons at Store B, he'd pay:

$2.5 * 16 = $40.

Cost of Store B - Cost of Store A = $40 - $38.72 = 1.28

This means that Store A cost about $1.28 less

Find the missing angles.

Answers

Answer:

a=30  b=30 c= 75

Step-by-step explanation:

By inferring that all triangles are the same measurments, you can easily knock out A and B since it is the same angle that is labeled 30 degrees.

Now to find C you need to know that all angles of a triangle add up to 180 degrees. You also need to know that both bottom angles are the same angle measurement, indicated by the little circle in the angle.

So, For the middle triangle you can create an equation. 30(which was b) + 2c = 180

Subtract 30 from both sides and you are left with:

2c = 150

Divide by 2 on each side:

c= 75

the food pantry distribution 10 oz bags of rice if 3 5 lb bags are donated to the pantry how many 10 ounce bags can be made ​

Answers

Answer:

24 bags can be made from three 5 pounds bags.

Step-by-step explanation:

Given that:

Three 5 pound bags are donated.

Total weight of bags = 3*5 = 15 pounds

We know that:

1 pound = 16 ounces

15 pounds = 16*15 = 240 ounces

A bag weighs 10 ounces.

Number of bags = [tex]\frac{240}{10}[/tex]

Number of bags = 24 bags

Hence,

24 bags can be made from three 5 pounds bags.

I dont know to put for the boxes. When I work the math out I get 5.4 more gallons but I'm confused on what to put for the other boxes

Answers

Step-by-step explanation:

One possible solution would be p being the total gallons of paint needed to buy, 250 in the first box (because 250 square feet per gallon), 250 in the second box (because you have 1 gallon = 250 sq. feet leftover) = 1600 (total)

10.) Is the table below linear or nonlinear?

Answers

Answer:

The table is not a straight line.

Step-by-step explanation:

it is curved

hi hi hihiihihihihihihihihiih

The sum of seven and the quotient of a number x and 8

Answers

Answer:

The answer is 0.875.

Step-by-step explanation:

7 / 8 = 0.875.

0.875 x 8 = 7. (To check answer)

To amend the US Constitution 3/4 of the 50 states must approve an amendment if 35 States approve an amendment will the constitution be amended

Answers

Answer:

No

Step-by-step explanation:

3/4 of 50 is 37.5, so 35 states will not be enough

A plane travels 342 miles in 6 hours. At a constant rate how many miles did the plane travel in 1 hour?

Answers

Answer:

57 miles

Step-by-step explanation:

342÷6= 57

I hope this helped you out, if it did please mark my answer as brainliest. I will be so grateful.

Find the slope of the line through each pair of points

(1, -19), (19, -2)

Answers

The answer is -17/18

42 3/19 times 513 3/6

Answers

Answer:

21648

3

38

Step-by-step explanation:

(42

3

19

)(513

3

6

)

=

801

19

(513

3

6

)

=

801

19

(513

1

2

)

=

801

19

(10272)

=

822627

38

=21648

3

38

When a respondent indicates that he is 25 years old when he is actually 35 years old, he is contributing to:


nonresponse error.


response error.


sampling error.


nonsampling error.

Answers

Answer:

Response Error

Step-by-step explanation:

f) One number is 78 more than
another. If you add 12 to tbe
smaller number, the result is 50.
What is the larger number?​

Answers

Answer:

The larger number = 116

Step-by-step explanation:

Let the smaller number = x

Given that one number is 78 more than  another, so

The larger number = x+78

Given that if we add 12 to the  smaller number, the result is 50, so

[tex]x+12=50[/tex]

subtract 12 from both sides

[tex]x+12-12=50-12[/tex]

Simplify

[tex]x=38[/tex]

Therefore,

The smaller number = 38The larger number = x+78 = 38+78 = 116

Thus, the larger number = 116

Solve 3x − 5y = 17
9x − 15y = −4

Answers

Answer:

3x - 5y = 17

3(9) - 5(2) = 17

27 - 10 = 17

x = 9

y = 2

---------------------

9x - 15y = -4

I believe this equation has no proper solution. Every "solution" I have found ends with repeating decimals & fractions.

will give brainlest
Solve the following equation.

-4.7=9/3.2

Answers

Answer:

4.7 (does not =) 2.8125

Step-by-step explanation:

Divide 9/3.2

What is the slope of the line that passes the points (6,-10) and (3,-13) write your answer in the simplest form

Answers

Answer:

1

Step-by-step explanation:

due today Solve the equation.

17n=−4 what does n equal

Answers

Answer:

17n=-4 ÷17

n=-0.235

Step-by-step explanation:

prove me wrong

what is 12+6x>99 help plz asaaap​

Answers

Answer:

[tex] \frac{29}{2} [/tex]

The sum of three angle measures in a triangle is always 180°.

Answers

Answer:

YES IT IS RIGHT.......!

Armando is baking 36 batches of brownies for the bake sale. Each batch of
browries takes 1 1/15
cups of flour. What is a reasonable estimate of the
amount of flour that he will need to bake all thirty-six batches of brownies?

A.18

B.36

C.39

D.72

Answers

Answer:

apple

Step-by-step explanation:

Please help me with this question

Answers

Answer:

The answer would be C

Step-by-step explanation:

The reason it is C, is because, if you add 13 to 3, you would get 16. Then, by dividing that by 2, you would get the desired answer of 8.

Answer:

c

Step-by-step explanation:

I just know because I worked it out on paper

Which expressions have a value of 16/81? Check all that apply.​

Answers

Answer:

2) 4/9

Step-by-step explanation:

well when you simplify you will get this awnser.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{Which expressions have a value of }\mathsf{\dfrac{16}{81}?\ }\large\textsf{Check ALL that APPLY. }[/tex]

[tex]\mathsf{(\dfrac{2}{3})^4}\\\\\mathsf{= \bf \dfrac{2}{3}\times\dfrac{2}{3}\times\dfrac{2}{3}\times \dfrac{2}{3}}\\\\\mathsf{= \bf \dfrac{2\times2\times2\times2}{3\times3\times3\times3}}\\\\\mathsf{2\times2\times2\times2}\\\mathsf{2\times2 = \bf 4}\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = 9}\\\mathef{9\times9 = \bf 81}\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\mathsf{= \bf \dfrac{16}{81}}[/tex]

[tex]\large\text{Option A. could POSSIBLY be your ANSWER}[/tex]

[tex]\mathsf{(\dfrac{16}{3})^4}\\\\\mathsf{= \dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}\times\dfrac{16}{3}}\\\\\mathsf{= \dfrac{16\times16\times16\times16}{3\times3\times3\times3}}\\\\\mathsf{16\times16\times16\times16}\\\mathsf{16\times16= \bf 256}\\\mathsf{256\times256 = \bf 65,536}\\\\\mathsf{\dfrac{\bf 65,536}{3\times3\times3\times3}}\\\\\mathsf{3\times3\times3\times3}\\\mathsf{3\times3 = \bf 9}\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{65,536}{\bf 81}}\\\\\mathsf{\bf = \dfrac{65,536}{81}}[/tex]

[tex]\large\text{Option B. CANNOT be your POSSIBLE ANSWER}[/tex]

[tex]\mathsf{(\dfrac{4}{81})^2}\\\\\mathsf{=\dfrac{4}{81}\times\dfrac{4}{81}}\\\\\mathsf{= \dfrac{4\times4}{81\times81}}\\\\\mathsf{4\times4= \bf 16}\\\\\mathsf{\dfrac{\bf 16}{81\times81}}\\\\\mathsf{81\times81=\bf 6,561}\\\\\mathsf{\dfrac{16}{\bf 6,561}}\\\\\mathsf{= \bf \dfrac{16}{6,561}}[/tex]

[tex]\large\text{Option C. CANNOT be your POSSIBLE ANSWER}[/tex]

[tex]\mathsf{(\dfrac{4}{9})^2}\\\\\mathsf{= \dfrac{4}{9}\times \dfrac{4}{9}}\\\\\mathsf{= \dfrac{4\times4}{9\times9}}\\\\\mathsf{4\times4 = \bf 16}\\\\\mathsf{\dfrac{\bf 16}{9\times9}}\\\\\mathsf{9\times9 = \bf 81}\\\\\\\mathsf{\dfrac{16}{\bf 81}}\\\\\\\mathsf{= \bf \dfrac{16}{81}}[/tex]

[tex]\large\text{Option D. could POSSIBLY be your ANSWER}[/tex]

[tex]\mathsf{(\dfrac{1}{81})^1^6}\\\\\mathsf{= u n d e f i n e d\ (also\ known\ as\ 0)}[/tex]

[tex]\large\text{Option E. CANNOT be your POSSIBLE ANSWER}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer:\bf Option\ A. (\dfrac{2}{3})^4} \&\ \bf Option\ D. (\dfrac{4}{9})^2}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the zeros of y = x2 – 6x – 4 by completing the square.

Answers

Answer:

The solutions to the quadratic equations are:

[tex]x=\sqrt{13}+3,\:x=-\sqrt{13}+3[/tex]

Step-by-step explanation:

Given the function

[tex]y\:=\:x^2\:-\:6x\:-\:4[/tex]

substitute y = 0 in the equation to determine the zeros

[tex]0\:=\:x^2\:-\:6x\:-\:4[/tex]

Switch sides

[tex]x^2-6x-4=0[/tex]

Add 4 to both sides

[tex]x^2-6x-4+4=0+4[/tex]

Simplify

[tex]x^2-6x=4[/tex]

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

[tex]x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2[/tex]

[tex]x^2-6x+\left(-3\right)^2=13[/tex]

Apply perfect square formula:  (a-b)² = a²-2ab+b²

[tex]\left(x-3\right)^2=13[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solve

[tex]x-3=\sqrt{13}[/tex]

Add 3 to both sides

[tex]x-3+3=\sqrt{13}+3[/tex]

Simplify

[tex]x=\sqrt{13}+3[/tex]

now solving

[tex]x-3=-\sqrt{13}[/tex]

Add 3 to both sides

[tex]x-3+3=-\sqrt{13}+3[/tex]

Simplify

[tex]x=-\sqrt{13}+3[/tex]

Thus, the solutions to the quadratic equations are:

[tex]x=\sqrt{13}+3,\:x=-\sqrt{13}+3[/tex]

Round 97.081 to the nearest 10th

Answers

Answer:97.1

Step-by-step explanation:

Answer:

97.1

Step-by-step explanation:

the 10th is the first decimal place with the second being 100th then 1000th and so on.

so since the number after it is an 8 we round it up to 1

please answer this thank you​

Answers

Answer:

x = 0,-1,-2,1,2

y = -3,-5,-7,-1,1

(0,-3)

(-1,-5)

(-2,-7)

(1,-1)

(2,1)

Step-by-step explanation:

y = 2x - 3

x = 0,-1,-2,1,2

y = ?,?,?,?,?

x = 0

y = 2x - 3

y = 2(0) - 3

y = 0 - 3

y = -3

x = -1

y = 2x - 3

y = 2(-1) - 3

y = -2 - 3

y = -5

x = -2

y = 2x - 3

y = 2(-2) - 3

y = -4 - 3

y = -7

x = 1

y = 2x - 3

y = 2(1) - 3

y = 2 - 3

y = -1

x = 2

y = 2x - 3

y = 2(2) - 3

y = 4 - 3

y = 1

Check:

x = 0,-1,-2,1,2

y = -3,-5,-7,-1,1

(0,-3)

(-1,-5)

(-2,-7)

(1,-1)

(2,1)

Active
Multiplying a Binomial by a Binomial
Warm-Up
BRES
Multiply: (3x - 5)(-x+4)
Applying the distributive property, the expression becomes (3x)(-x) + (3x)(4) + (-5)(-x) + (-5)(4).
What is the simplified product in standard form?
1-34
7

Answers

Given:

Multiply: [tex](3x-5)(-x+4)[/tex].

To find:

The simplified product in standard form.

Solution:

We have,

[tex](3x-5)(-x+4)[/tex]

Applying the distributive property, the expression becomes

[tex]=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)[/tex]

[tex]=(-3x^2)+12x+5x+(-20)[/tex]

On combining like terms, we get

[tex]=-3x^2+(12x+5x)-20[/tex]

[tex]=-3x^2+17x-20[/tex]

Therefore, the simplified product in standard form is [tex]-3x^2+17x-20[/tex].

if h(x)= 1-7x find the value of h(-7)

Answers

it’s 50
x = -7 so it would be 1-(7x-7)
7 x -7 = -49
1-(-49) = 1 + 49 = 50

Help please . I need to show full work to the teacher .
Solve for unknown variable

Answers

Answer:

b: 110.43

a:90.34

h:89.99

Step-by-step explanation:

check my image

mang pedro has 20 kilogram of rice.he will repack it in 1/2 kilograms per bag.how many bags will he need?​

Answers

40, since each kilo of rice fills two bags and he has 20 kilos.

Answer:

20,since each kilo of rice fills two bags so he i'll have 40 bags.

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