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Lynna [10]
3 years ago
11

A 25 kg cart has 125 kg of momentume

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

5 kg

Step-by-step explanation:

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34% of what number is 51
vaieri [72.5K]
<span>150%

</span>Get 150 and multiply it by (34/100). 
<span>In other words, do this: 150 x 0.34 (The 0.34 represents 34%. 0.76 would be 76%, etc) </span>
<span>This gives you: 51 </span>
5 0
4 years ago
Two streets bounding your triangular lot make an angle of 74∘. The lengths of the two sides of the lot on these streets are 126
ycow [4]

Answer: a) Yes, there is enough fance

b) 58.1° and 47.9°

c) The city will not approve, because 1/3 of the area is just 2220.5ft²

Step-by-step explanation:

a) using law of cosines: x is the side we do not know.

x² = 126² + 110² - 2.126.110.cos74°

x² = 20335.3

x = 142.6 ft

So 150 > 142.6, there is enough fance

b) using law of sine:

sin 74/ 142.6 = sinα/126 = sinβ/110

sin 74/ 142.6 = sinα/126

0.006741 = sinα/126

sinα = 0.849

α = sin⁻¹(0.849)

α = 58.1°

sin 74/ 142.6 = sinβ/110

sin 74/ 142.6 = sinβ/110

0.006741 = sinβ/110

sinβ = 0.741

β = sin⁻¹(0.741)

β = 47.9°

Checking: 74+58.1+47.9 = 180° ok

c) Using Heron A² = p(p-a)(p-b)(p-c)

p = a+b+c/2

p=126+110+142.6/2

p=189.3

A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)

A = 6661.5 ft²

1/3 A = 2220.5

So 2300 >  2220.5. The area you want to build is bigger than the area available.

The city will not approve

7 0
3 years ago
A contractor is building the base of a circular fountain. On the blueprint, the base of the fountain has a diameter of 18 centim
Daniel [21]
The answer is 1808.64 ft²

To calculate area of square we need to find radius r. Radius is a half of a diameter:
r = d/2

The blueprint:
d = 18 cm
r = 18/2 = 9 cm

<span>The blueprint has a scale of three centimeters to four feet. Actual radius r1 is:
</span>3 cm : 4 ft = 18 cm : r1
After crossing the products:
r1 = 4 ft * 18 cm : 3 cm
r1 = 24 ft

The area of the circular base of the fountain is:
A = r1² * π
π = 3.14
r1 = 24 ft

A = 24² * 3.14
A = 1808.64 ft²
3 0
4 years ago
Find the mean,median,range of 6 6,8,5,4,6,4,3,8,4
SVEN [57.7K]
The numbers in order are
3, 4, 4, 4, 5, 6, 6, 6, 8

The median is the number in the middle, which is 5.
The range is the largest number minus the smallest number, 8 - 3 = 5
The mean is the sum of all the numbers divided by how many number are the in the list, 3 + 4 + 4 + 4 + 5 + 6 + 6 + 6 + 8 = 46, 46/9 = 5.11
8 0
4 years ago
Read 2 more answers
In a school of 3200 total students 3/8
AleksAgata [21]

Answer:

ii) Find the percentage of boys/girls

Step-by-step explanation:

If im incorrect please comment here ------------》

4 0
3 years ago
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