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DENIUS [597]
3 years ago
8

A company is expanding its building area from 14,000 square feet to 17,640 square feet. What is the percentage increase of the a

rea of the building space
Mathematics
1 answer:
natali 33 [55]3 years ago
6 0

Answer:

its about 7.9% I think .... ............

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Calculate the area of the given quadrilaterals.​
nadya68 [22]

Answer:

dissect the trapezium into a square and triangle. since the triangle is a right angled one the base is 17-7=10cm

the height is found using Pythagorean theorem to be 24cm i.e 26²=x²+10²,x=√(676-100),x=√576,x=24cn

area of trapezium is (1/2)(a+b)h

a is the shorter side and b the longer side

(1/2)*(7+17)24

=288cm²

3 0
2 years ago
Two cars leave a town at the same time heading in opposite directions. One car is traveling 12 mph faster than the other. After
Katena32 [7]
<span>Find the speed of each car.
Let a be the first car
Let b be the second car
=> a = x miles per hour
=> b = x + 12 miles per hour
=> 2 (x+ x + 12) = 232 miles per hour
=> 2x + 12 = 232
=> 2x + 12 = 116
=> 2x = 116 - 12
=> 2x / 2 = 104 / 2
=> x = 52 (speed of Car A)
=> 52 + 12 = 64 miles per hour (speed of Car B)</span>



4 0
3 years ago
How many integers between 10000 and 99999, inclusive, are divisible by 3 or<br> 5 or 7?
Yuki888 [10]

Answer: Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.

Step-by-step explanation:

Since we have given that

Integers between 10000 and 99999 = 99999-10000+1=90000

n( divisible by 3) = \dfrac{90000}{3}=30000

n( divisible by 5) = \dfrac{90000}{5}=18000

n( divisible by 7) = \dfrac{90000}{7}=12857.14

n( divisible by 3 and 5) = n(3∩5)=\dfrac{90000}{15}=6000

n( divisible by 5 and 7) = n(5∩7) = \dfrac{90000}{35}=2571.42

n( divisible by 3 and 7) = n(3∩7) = \dfrac{90000}{21}=4285.71

n( divisible by 3,5 and 7) = n(3∩5∩7) = \dfrac{90000}{105}=857.14

As we know the formula,

n(3∪5∪7)=n(3)+n(5)+n(7)-n(3∩5)-n(5∩7)-n(3∩7)+n(3∩5∩7)

=30000+18000+12857.14-6000-2571.42-4258.71+857.14\\\\=48884.15

Hence, there are approximately 48884 integers are divisible by 3 or 5 or 7.

5 0
3 years ago
If a set has three elements how many subsets does it have
mel-nik [20]
6 subsets are possible, but the number of subsets depends on the problem
6 0
3 years ago
Find (f – g)(x) if f(x) = 2x – 3 and g(x) = 4x + 8.
Aleks04 [339]

f(x) - g(x) = 2x-3 -(4x+8)

              = 2x-3 -4x-8

               = -2x-11

4 0
3 years ago
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