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1 year ago

A plank of wood is 220 cm long.I cut it in 14cm pieces. what lenght of wood i will have left over?

Mathematics

1 answer:

Nana76 [90]1 year ago

7 0

The required Length is 10cm.

What is length?

Length is a measure of distance. In the International System of Amounts, length is a volume with dimension distance. In utmost systems of dimension a base unit for length is chosen, from which all other units are deduced.
Length is generally understood to mean the most extended dimension of a fixed object. still, this isn't always the case and may depend on the position the object is in.
Varied terms for the length of a fixed object are used, and these include height, which is the perpendicular length or perpendicular extent, and range, breadth, or depth. Height is used when there's a base from which perpendicular measures can be taken. range or breadth generally relates to a shorter dimension when the length is the longest one.

220 / 14 gives us 15.

You have to understand that this means 15 whole 14 cm pieces and a Length of 1 piece.

thus 14 * 15 = 210

So 220- 210 = 10

where you know 220- 210 is< 15

Hence, The correct Length is 10cm.

Learn more about Length here:

brainly.com/question/2217700

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3 years ago

A local amusement park charges $20 for an admission fee and $5 for each ride.

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20+5x=

Step-by-step explanation:

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3 years ago

Write an equation for the line on the graph below I need help on both of them

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1st one, x=-1

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3 years ago

Fred the owl is looking down at a 67° angle from the top of a tree that is 15 ft tall, when he spots a bird on the ground. How f

guapka [62]

Answer:

Fred C. 16.30 ft

Gary B. 169.67 m

Step-by-step explanation:

Fred the owl...

Always draw a diagram first (see diagram below). We assume trees are perpendicular (at 90°) to the ground. The situation forms a right-angle triangle.

We need to find "x", which is the direct distance between the owl and the bird. "x" is also the hypotenuse, which is the longest side in a right-angle triangle. Since we know a side and an angle, we can find the hypotenuse using primary trigonometry ratios.

∠B will be the angle of reference (the angle we are "talking" about). The side we know is opposite to ∠B (15ft). We know it's opposite because it's not touching the angle. The side we need to find is the hypotenuse.

Use the trig. ratio sine because it has opposite and hypotenuse in it. The general formula is:

sinθ = opp/hyp

θ means the angle, and we know it is 67°.

Replace all the information you know:

sinB = opp/hyp

sin67° = (15ft) / x Isolate "x". Rearrange the equation.

xsin67° = (15ft) Divide both sides by sin67°

x = (15ft) / sin67°

x = 16.295... ft Exact answer in decimals

x ≈ 16.30 ft Rounded to nearest hundredth

Therefore Fred the owl is 16.30 feet from the bird.

Gary spots a monkey...

Draw a diagram first (see below). G is Gary, M is the monkey, T is the bottom of the Sears Tower. We need to find "x", which is the distance between the monkey and the bottom of the tower.

The angle of reference is M, which is 69°. We need to find the adjacent side and we know the opposite side. The trig. ratio that has adjacent and opposite is tangent.

tanθ = opp/adj

Replace all the information you know:

tanM = opp/adj

tan69° = (442m) / x Rearrange the formula to isolate "x"

xtan69° = 442m Divide both sides by tan69°

x = 442m / tan69° Solve by dividing

x = 169.6679.... m Exact decimal answer

x ≈ 169.67m Rounded to the nearest hundredth

Therefore the monkey is 169.67 metres from the tower.

Remember all the trig. ratios using the acronym SohCahToa.

o = opposite side

a = adjacent side

h = hypotenuse side

S = sine, sin for short

C = cosine, cos for short

T = tangent, tan for short

The operation is always dividing the first side in the acronym by the second side.

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

4 0

3 years ago

If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___

JulsSmile [24]

Answer:

a) y-intercept of AB is 56/5

b) equation of line CD is:

y = -7/5x + 12

Step-by-step explanation:

a) If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of AB is ___

We are given the points A(8,0) and point B (3,7)

We need to find y-intercept i.e b

Finding slope of points A and B = y₂ - y₁/x₂ - x₁

=7-0/3-8

=7/-5

= - 7/5

So, finding y intercept b by using equation

y = mx+b

And considering point A (8,0) x = 8 and y = 0 and m = -7/5

0 = 8(-7/5) + b

0 = -56/5 + b

=> b = 56/5

So, y-intercept of AB is 56/5

b) If the coordinates of point D are (5 , 5), the equation of line CD is y = __

Since AB || CD

both will have same slope

i.e m = -7/5

we need to find y-intercept given point D (5,5)

y = mx+b

5 = -7/5(5)+b

5 = -7 + b

=> b = 5+7

=> b = 12

So, equation of line CD is:

y = -7/5x + 12

9 0

3 years ago