Which expression is equivalent to √-80a. -4 √5
b. -4 √5i
c. 4 √5i
d. 4 √5

Answers

Answer 1

Answer: To simplify √-80, we can take out "i" from the root by using the relation i = √-1. Further factoring out 80, we can simplify it, which will be shown as follows:

√-80 = √(-1)(16)(5) = 4i√5

Among the choices, the correct answer is C.

Answer 2

Answer:

Answer:

Your answer would be c.

Step-by-step explanation:

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Esteban has a big jar of change in his room. he has 600 coins total, and 240 of them are pennies.what percentage of the coins are pennies?

Answers

Put it as a fraction first so it is 240/600. Now all you need to do is get the denominater (600) to 100. Divide 600 by 100 to find out what you need to divide the top by. 600/100= 6. Divide the 240 by 6 to get 40. So the fraction is 40/100 which can then be converted into a percentage. Your answer is 40%.

Answer:

40%

Step-by-step explanation:

The figure shows a circle inscribed in a triangle.A circle is inscribed within a triangle.

To construct the inscribed circle, angle bisectors were first constructed at each angle of the triangle. Which happened next?

A circle was constructed using the intersection of the angle bisectors as the center of the circle and the obtuse vertex as a point on the circumference of the circle.
A circle was constructed using a vertex as the center of the circle and the intersection of the angle bisectors as a point on the circumference of the circle.
Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed.
Segments bisecting each side of the triangle were constructed through the intersection of the angle bisectors.

Answers

C.Segments perpendicular to the sides of the triangle through the intersection of the angle bisectors were constructed.

The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 6 inches. If the length must be 1.5 time the height, what should each dimension be?

Answers

$v=1.5l*l*w$
$w=6-l-1.5l$
$v=1.5l*l*(6-l-1.5l)$
which simplifies to
$v=9l^2-3.75l^3$
and so we take the derivative of that function in terms of l
$(d)/(dx)v=18l-11.25l^2$
then we set that to 0
$-11.25l^2+18l=0$
using the quadratic formula
$(-b+or- √(b^2-4ac))/(2a)$
$(-18+or- √(18^2-4*11.25*0))/(2*-11.25)$
simplifying..
$(-18+or- √(324))/(-22.5)$
$(-18+√(324))/(-22.5)=0$
$(-18-√(324))/(-22.5)=1.6$

at this point i noticed an error, i used l instead of h... but thats ok

pluggin 0 and 1.6 for h, lets check answers
1.6: h=1.6 l=2.4 w=2
0: h=0 l=0 w=6

so the answer is h=1.6 l=2.4 w=2, which gives the greatest volume of 7.68

What is the area of a rectangle with measurement of 17 ft 8 in by 11ft 8in

Answers

you do 17 ft 8 inches multiplied by 11 feet 8 inches which equals 62.8227 feet because the area of a rectangle is base times height

15x+12=45+4x
whats x?

Answers

15x+12=45+4x ⇒15x - 4x = 45 - 12 ⇒ 11x = 33 ⇒ x = 3

Like terms are when the variable you have are the same. In this case it is x. Therefore, when you have like terms, you should add, or subtract your like terms.

(note: When you move one thing to the other side of the equation, make sure to do the opposite of the sign. i.e. if it is +4 when you move to the other side it will be -4).

15x+12=45+4x
15x+12-12=45+4x-12
15x=45+4x-12
15x-4x=45+4x-4x-12
15x-4x=45-12
11x = 33
this is the same as:
11*x = 33
the opposite of multiply is divide so when we move the 11 it has to be divide
11/11*x=33/11
x=3

Who invented division?