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3 years ago

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The size of a television screen is the length of its diagonal. The size of this television screen is 80 cm. If the height of the

screen is 42 cm, find the width of the screen in centimetres, correct to the nearest whole number.

1 answer:

laiz [17]3 years ago

8 0

Use the Pythagorean Theorem. $80 ^{2} = 42^{2} + x^{2}$ What do you think the answer is?

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△BCD is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters. Wh

belka [17]

In a right triangle, this formula can be used:

a^2 + b^2 = c^2

when a and b are the legs and c is the hypotenuse.

Substitute the numbers from the problem into the formula.

14^2 + b^2 = 18^2

Simplify.

196 + b^2 = 324

b^2 = 128

b = square root of 128 = 11.3137...

When 11.313 is rounded to the nearest tenth, it is 11.3

The length of the other leg is 11.3 centimeters.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Answer all for points

IceJOKER [234]

Answer:

1. If we drink 8 glasses, we are drinking 2 L of water, so we are exceeding 1 L of water per day.

2. We need 100 sections.

I used metric conversion to convert km to meters.

3. 230 mL of lemonade per person

I used metric conversion to convert L to ML

Step-by-step explanation:

1. 250 mL = 1 glass

We are drinking 8 glasses

8 glasses * 250 ml/ 1 glass = 2000 mL

1 L = 1000 mL

2000 mL * 1 L/1000 mL =2 L

If we drink 8 glasses, we are drinking 2 L of water, so we are exceeding 1 L of water per day.

I used metric convertsion to convert mL to liters.

Guardrails sections to be 5m long

Road length that needs a guardrail is .5 km. We need to convert this to meters 1000 m = 1 km

.5km * 1000m / 1km = 500 meters

We have 500 meters that needs guardrails.

500 meters * 1 section/ 5 meters = 100 sections

We need 100 sections.

I used metric conversion to convert km to meters.

3. 6.9 L of lemonade to serve 30 people. We want to serve ml

Convert L to mL

1L = 1000 ML

6.9 L * 1000 ml/1L = 6900 mL

We need to divide 6900 Ml by 30 people

6900mL/30 people = 230 mL of lemonade per person

I used metric conversion to convert L to ML

5 0

4 years ago

Need help on this one question please

Elan Coil [88]

P(x, y) Q(x,y)
P(-2, -1) start at 0. Go to the left two squares, then go down 1 square. mark a point there
Q(2, 4) start at 0. Go to the right two squares, go up 4 squares. mark a point there.
connect two points
make a right triangle
Then use the pythereom
$4^{2} + 5^{2} = (PQ)^{2}$
$41 = (PQ)^{2}$
$\sqrt{41} = PQ$

6 0

3 years ago

At t=0, a rock is dropped from rest from the top of a building 256 ft high. With what velocity will it strike the ground? What i

Rasek [7]

Answer:

128 ft / second.

Step-by-step explanation:

It's acceleration is due to gravity and is 32 ft s^-2.

To find the velocity when it hits the ground we use the equation of motion

v^2 = u^2 + 2gs where u = initial velocity, g = acceleration , s = distance.

v^2 = 0^2 + 2 * 32 * 256

v^2 = 16384

v = 128 ft s^-1.

4 0

4 years ago

A radio station is going to construct a 5-foot tower on top of a building. the tower will be supported by three cables, each att

KonstantinChe [14]

You need to use Pythagoras’ Theorem.
A² + B² = c² and c is the hypotenuse of the right angled triangle.

The height of the tower (5 feet) is A and the distance from the end of the cable and the base of the tower (12 feet) is B. The length of ONE cable is c. So:

A² + B² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c. This is the length of one cable.

3 x 13 = 39 therefore the total length of the cables is 39 feet.

25

8 0

3 years ago