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natka813 [3]
3 years ago
6

10 A three-dimensional letterH is formed by joining two identical cuboids and a cube.​

Mathematics
1 answer:
hoa [83]3 years ago
7 0

Answer:

10= 275

-------------

11=

a  6

b  4

-------------

12= 35

Step-by-step explanation:

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When Harvey picked up his rental compact car, the odometer read 44,341 miles. When he returned it 4 days later, it read 45,230.
Georgia [21]

Answer: daily rate = $28.99

= 28.99*4days= 115.96

Given the 50 miles being free

=0.30*50 = 15.00

= 15-115.96= 100.96

= 100.96

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve 5x^2 - 7x + 2 = 0 by completing the square.
Reika [66]

Answer:  The correct option is (c) \dfrac{49}{100}.

Step-by-step explanation:  We are given to solve the following quadratic equation by the method of completing the square:

5x^2-7x+2=0~~~~~~~~~~~~~~~~~~~(i)

Also, we are to find the constant added on both sides to form the perfect square trinomial.

We have from equation (i) that

5x^2-7x+2=0\\\\\Rightarrow x^2-\dfrac{7}{5}x+\dfrac{2}{5}=0\\\\\\\Rightarrow x^2-2\times x\times \dfrac{7}{10}+\left(\dfrac{7}{10}\right)^2+\dfrac{2}{5}=\left(\dfrac{7}{10}\right)^2\\\\\\\Rightarrow \left(x-\dfrac{7}{10}\right)^2=\dfrac{49}{100}-\dfrac{2}{5}\\\\\\\Rightarrow  \left(x-\dfrac{7}{10}\right)^2=\dfrac{49-40}{100}\\\\\\\Rightarrow  \left(x-\dfrac{7}{10}\right)^2=\dfrac{9}{100}\\\\\\\Rightarrow x-\dfrac{7}{10}=\pm\dfrac{3}{10}\\\\\\\Rightarrow x=\pm\dfrac{3}{10}+\dfrac{7}{10}.

So,

x=\dfrac{3}{10}+\dfrac{7}{10},~~~~~~~~x=-\dfrac{3}{10}+\dfrac{7}{10}\\\\\\\Rightarrow x=\dfrac{10}{10},~~~~~~~~\Rightarrow x=\dfrac{-3+7}{10}\\\\\\\Rightarrow x=1,~-\dfrac{2}{5}.

Thus, the required solution is x=1,~-\dfrac{2}{5}. and the value of the constant added is \dfrac{49}{100}.

Option (c) is correct.

3 0
3 years ago
Mrs Lim bought a number of plates at an average price of $6. She decided to buy another plate which cost $18. The average price
soldi70 [24.7K]

Answer:  6

<u>Step-by-step explanation:</u>

Let x represent the number of plates bought for $6

Let y represent the Total number of plates bought = x + 1

<em>Remember that Mrs. Lim bought another plate for $18</em>

Total cost ÷ Total plates = Average Cost

\dfrac{6x+18}{x+1}=8\\

6x + 18 = 8(x + 1)

6x + 18 = 8x + 8

       18 = 2x + 8

       10 = 2x

        5 = x

y = x + 1

  = 5 + 1

  = 6

5 0
3 years ago
If a square is approximately 4.25 inches and there is 2.54 centimeters in a inch how long is each side of the square in centimet
ludmilkaskok [199]
10.795 square centimeters
7 0
3 years ago
Let f:X → Y, where X and Y are the set of all real numbers, and x and h are real numbers.
Shkiper50 [21]

Answer:

a) f(x) = x^2

b) f(x) = x

c) any pair of numbers

Step-by-step explanation:

HI!

a)

an example of this kind of function is f(x) = x^2 because

f(x+h) = (x+h)^2 = x^2 + h^2 + 2 xh = f(x) + f(h) + 2xh

teherfore

f(x+h) ≠ f(x) + f(h)

other example is f(x) = x^n with n a whole number different than one

e.g.

f(x)=x^3

f(x+h) = (x+h)^3 = x^3 + h^3 + 3(x^2 h + x h^2) ≠ x^3 + h^3 = f(x) + f(h)

b)

f(x) = x is a function that actually behaves as indicated

f(x+h) = x + h = f(x) + f(h)

others examples of this kind of fucntion are given by multiplying x by any number:

f(x) = ax;    f(x+h) = a(x+h) = ax + ah = f(x) + f(h)

c)

Any pair of numbers will make f(x+h) = f(x) + f(h), as mentioned in the previous section

lest consider 10 and 5

f(10+5) = 2 *(10+5) = 2*15 = 30

f(10) = 2*10 = 20

f(5) = 2*5 = 10

f(10) + f(5) = 20+10 = 30 = f(10+5)

5 0
3 years ago
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