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3 years ago

The diagonal of a TV screen is 42 inches. The base is 38

Mathematics

2 answers:

zepelin [54]3 years ago

7 0

Answer:

Diagonal measurement of a tv screen = 42 inches.

Base = 38 inches

To find:

The height of the tv.

Solution:

Let h be the length of the tv.

According to the Pythagoras theorem,

Taking square root on both sides.

Therefore, the height of the tv is inches.

Step-by-step explanation:

sweet [91]3 years ago

4 0

Answer:

Step-by-step explanation:

Divided by 72 equals 82.

So we then add by 42 and we have a result of 92.

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Solve for x. 6(x+1)-2x-1=(x+15)+(x+16)?

Aleksandr [31]

Answer:

x=13

Step-by-step explanation:

6(x+1)-2x-1=(x+15)+(x+16)

6x+6-2x-1= x+ 15+x+16

4x+5= 2x+31

2x+5=31

2x=26

x=13

7 0

4 years ago

Jeffrey and Frank walk at different speeds.Frank’s walking speed can be represented by the equation y=85x, where is the time in

kolezko [41]

Answer:

Option (C)

Option (A)

Step-by-step explanation:

Part A.

Frank's walking speed can be represented by the equation.

Equation representing the speed is,

y = 85x

$\frac{y}{x}=85$

Therefore, walking speed of Frank = 85 meters per minute.

Option (C) will be the answer.

Part B.

Distance walked over the time by Jeffrey is given by the graph attached.

Equation for the speed will be,

y = $(\frac{400}{5})x$

y = 80x

Therefore, walking speed of Jeffrey = 80 meters per minute

Difference in the speed of Frank and Jeffrey = 85 - 80 = 5 meters per minute.

Jeffery walks 5 meters per minute slower than Frank.

Option (C) will be the answer.

Part (C)

Distance traveled by Frank in 16 minutes,

y = 85(16) = 1360 meters

Time taken to travel the same distance by Jeffrey will be,

1360 = 80x

x = $\frac{1360}{80}=17$ meters per minute

Option (A) will be the answer.

8 0

3 years ago

"A clock is positioned on an auditorium wall with its center 9 feet above the floor. The second hand is 10 inches long and conti

GenaCL600 [577]

Answer: f(x) = 10in*cos(x*2*pi/60s) + 10in*sin(x*2*pi/60s) + 108in.

Step-by-step explanation:

When we have a circular motion, we can write this as:

f(x) = A*sin(k*x + f) + A*cos(k*x + f) + C.

where:

k is a constant that depends on the period.

f is a phase shift.

C is the mean height of the circular motion, in this case will be equal to the height of the center, that is 9ft.

C = 9ft.

A is the amplitude of the motion, in this case is equal to the radius, that is equal to the lenght of the second hand

A = 10in

But we should write both quantities in the same units, so we have:

1ft = 12in

then:

C = 9ft = 9*12in = 108in

Then our equation is:

f(x) = 10in*cos(k*x + f) + 10in*sin(k*x + f) + 108in

now, x = 0s coincides with the noon

so at x = 0s, the second hand is pointint to the twelve, this means that is in the max height, so we have:

F(0s) = 10in*cos(0 + f) + 10in*sin(0 + f) + 108 in

Now, the maximum value will be when the value inside the sinusoidals is 0.

(because cos(0) = 1 and sin(0) = 0)

then we have that f = 0.

Now, we know that it takes 60 seconds to do a full revolution, and for the sinusodial functions the period is 2*pi

Then we have:

c*60s = 2*pi

c = 2*pi/60s.

Then the equation is:

f(x) = 10in*cos(x*2*pi/60s) + 10in*sin(x*2*pi/60s) + 108in.

4 0

3 years ago

Read 2 more answers

If 16+4x is 10 more than 14, what is the value of 8x?

sattari [20]

16 + 4x = 10 + 14

16 + 4x = 24.

4x = 24 - 16

4x = 8

x = 8 ÷ 4

x = 2

8x = 2 × 8

8x = 16

Final answer = 16.

3 0

3 years ago

Compute the sum a. 3,577 b. 7,161 c. 1,792 d. 1,785

Studentka2010 [4]

Answer:14315

Step-by-step explanation:

6 0

2 years ago