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3 years ago

12

A Ladder That Is 5 meters in length is resting on a branch of a tree and the base of the ladder is 3 meters from the tree on the

level ground. How High Up is the branch on which the ladder is resting

1 answer:

Stells [14]3 years ago

5 0

Use the Pythagoras theorem:-

height = sqrt(5^2 - 3^2 ) = sqrt16 = 4 metres Answer.

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A copy machine makes 44

andrew-mc [135]

44 per minute. 44 x 5 minutes = 220 copies. But you have have 30 seconds left, 30 is half a minute so you also split what the machine does in half which is 22. 220 +22= 242.
242 copies is my answer.

6 0

3 years ago

Two sides of a triangle are given as 28 inches and 42 inches. find all possible lengths for the third side of the triangle

timofeeve [1]

The longest side of a triangle must be less than the sum of the other 2 sides

2 senarios

the 3rd side is the longest
the 3rd side is not the longest

for the 3rd side is the longest

3rdside<28+42
3rdside<70

for 3rd side isn't the longest
42 is longest
42<28+3rdside
14<3rdside

so we've got
3rdside<70 and 14<3rdside

so
14<3rdside<70

the 3rd side can be any number from 14in to 70in except 14in and 70in

6 0

3 years ago

What is the velocity of a bird with a mass of 2 kilograms flying at 60 kg*m/s?

scoundrel [369]

Answer:

30 m/s

Step-by-step explanation:

<em>p = mv</em>

<em>momentum</em><em> </em><em>=</em><em> </em><em>mass</em><em> </em><em>×</em><em> </em><em>velocity</em>

<em>here</em><em> </em><em>the</em><em> </em><em>momentum</em><em> </em><em>is</em><em> </em><em>60kgm</em><em>/</em><em>s</em>

<em>mass</em><em> </em><em>is</em><em> </em><em>2kg</em>

<em>substitute</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>equation</em>

<em>6</em><em>0</em><em> </em><em>=</em><em> </em><em>2v</em>

v= 30m/s

4 0

3 years ago

A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there we

IRINA_888 [86]

Answer:

$52$ roses and $117$ sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is $4:9$ , we can represent how many there are of each as $4x$ and $9x$ , respectively. We know that there are $65$ more sunflowers than roses, so we can set up the following equation to solve for $x$ :

$4x+65=9x$

Solving for $x$ , we get:

$4x+65=9x$

$4x+65-4x=9x-4x$ (Subtract $4x$ from both sides of the equation to isolate $x$ )

$65=5x$ (Simplify)

$5x=65$ (Symmetric Property of Equality)

$\frac{5x}{5}=\frac{65}{5}$ (Divide both sides of the equation by $5$ to get rid of $x$ 's coefficient)

$x=13$ (Simplify)

Therefore, since $x=13$ , we know that there are $4x=4*13=52$ roses and $9x=9*13=117$ sunflowers. Hope this helps!

4 0

3 years ago

What are the coordinates of P' if P (-5,-4) undergoes a dilation, centered at the origin, with a scale factor of K=2?

Margaret [11]

Answer:

$P' = (-10,-8)$

Step-by-step explanation:

Given

$P = (-5,-4)$

$k =2$

Required

Determine the image P'

P' is calculated by multiplying P and k.

i.e.

$P' = P * k$

This gives:

$P' = (-5,-4) * 2$

$P' = (-5* 2,-4* 2)$

$P' = (-10,-8)$

<em>Hence, the image P' after dilating P is (-10,-8)</em>

7 0

3 years ago