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marusya05 [52]
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
Mathematics
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
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