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3 years ago

What’s the answer to this

Mathematics

2 answers:

lidiya [134]3 years ago

7 0

Answer:

Step-by-step explanation:

I solved in the picture

Hope this helps ^-^

madam [21]3 years ago

4 0

B is the correct answer I think

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Name two customary units of length. Which measurement is more accurate?

prohojiy [21]

Inches
Centimeters
Centimeters are more accurate.

8 0

3 years ago

7. A business begins with $1,000,000 from its owners. It places $100,000 into a bank account which it wishes to maintain as a ca

joja [24]

Answer:

The amount need to borrow a owner is $100,000

Step-by-step explanation:

The total amount a owner having to start a business = $1,000,000.

He wishes to place $ 100,000 into bank account to maintain as cash reserve.

Now the amount he left with to spent in business purposes = $1,000,000 - $100,000 = $ 900,000.

He needs to purchase equipment and material of $1,000,000

But he is left with only $900,000.

So the amount he has to borrow to fulfill his business requirement is

= $1,000,000 - $900,000 = $100,000

8 0

3 years ago

Express the area of square as monomial

V125BC [204]

A=x²
(where <em>A</em> is the area and <em>x</em> is the side length)

5 0

3 years ago

A piece of wire 28 ft long is cut into two pieces. One piece is used to form a square, and the remaining piece is used to form a

marusya05 [52]

Answer:

Wire should be cut in two parts with the length = 15.69 ft and 12.31 ft

Step-by-step explanation:

Length of the wire = 28 ft has been cut in two pieces.

One piece is used to form a square and remaining piece to form a circle.

Let the length of the wire which forms the square is 'l' ft.

Area of the square = (side)²

Perimeter of the square = 4(side) = l

Length of one side = $\frac{l}{4}$

So, the area of the square = $\frac{l^{2}}{16}$ ft²

Now length of the remaining part = perimeter of the circle = (28 - l) ft

2πr = (28 - l)

r = $\frac{28-l}{2\pi }$

Area of the circle formed = πr²

= $\frac{\pi(28-l)^{2} }{4(\pi )^{2} }$

= $\frac{(28-l)^{2}}{4\pi }$

Combined area of the square and circle

= $\frac{l^{2}}{16}$ + $\frac{(28-l)^{2}}{4\pi }$

Now to maximize the area we will find the derivative of the area with respect to l.

$\frac{dA}{dl}=\frac{d}{dl}[\frac{l^{2}}{16}+\frac{(28-l)^{2}}{4\pi}]$

= $\frac{d}{dl}[\frac{l^{2}}{16}+\frac{(28)^{2}+l^{2}-56l }{4\pi }]$

= $\frac{2l}{16}+\frac{(2l-56)}{4\pi }$

Now equate the derivative to zero.

$\frac{2l}{16}+\frac{(2l-56)}{4\pi }$ = 0

$(2l-56)=-\frac{2l}{16}\times 4\pi$

$(2l-56)=-\frac{\pi l}{2}$

$2l+\frac{\pi l}{2}=56$

$\frac{(4l+l\pi )}{2}=56$

l(4 + π) = 112

l(4 + 3.14) = 112

l = $\frac{112}{7.14}$

l = 15.69 ft

Length of the other part = 28 - 15.69 = 12.31 ft

Therefore, wire should be cut in two parts with the length = 15.69 ft and 12.31 ft

8 0

3 years ago

Make t the subject of the formula in the image

kaheart [24]

Answer:

t= $\frac{2-3q}{q+4}$

Step-by-step explanation:

q(t+3)=2-4t

qt+3q=2-4t

qt+4t=2-3q

t(q+4)=2-3q

t= $\frac{2-3q}{q+4}$

8 0

3 years ago