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scoundrel [369]
3 years ago
14

The diagonals of a trapezoid are _____ equal. *Always *Never *sometimes

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0

Answer:

The answer is never

Step-by-step explanation:


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Can someone please help solve these simultaneous equations?
gtnhenbr [62]

Answer:

a) x = 2, y = 1

b) x = 9, y = -9

Step-by-step explanation:

a)     2^{x+y} = 8

   ⇒ 2^{x+y} = 2^{3}

   ⇒ x+y = 3

and

      3^{2x-y} = 27

  ⇒ 3^{2x-y} = 3^{3\\

  ⇒ 2x-y = 3

By solving the above two equations, we get;

x = 2 and y = 1

b)     3^{y+x} = 9^{y+x}

   ⇒ 3^{y+x} = 3^{2y+2x}

   ⇒ x=-y

and

       2^{x-y} = 8^{x-3}

   ⇒ 2^{x-y} = 2^{3x-9}

   ⇒ 2x + y=9

By solving the above two equations, we get;

x = 9 and y = -9

3 0
3 years ago
A silicon chip is 14 nanometers thick. A nanometer is equal to 0.000000001 meter. Express the thickness of the chip using scient
oksano4ka [1.4K]

Answer:

1.4 × 10^-8

Step-by-step explanation:

The chip is 14  nanometers

14 * .000000001

.000000014

Move the decimal 8 places to the right, because we need 1 number in front of the decimal for scientific notation.  The exponent will be -8 because  we moved it 8 places to the right

1.4 × 10^-8

4 0
3 years ago
Read 2 more answers
B) The number of volume of a cylinder is half of its number of the total surface area.
faust18 [17]

Answer:

V=179.6cm^3

Step-by-step explanation:

the volume of a cylinder is given by:

V=\pi r^2h

where r is the radius and h is the height.

and the surface area:

SA=2\pi r^2+2\pi rh

the first term is the area of the circles and the second term is the area of the body.

since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

V=\frac{1}{2}SA

substitutig the equivalent expressions on each side:

\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)

and we simplify and solve for the height (since is the value we don't know of the cylinder):

\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)

we substitute the value of the radius r=7cm, and we get:

h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm

thus the volume is:

V=\pi r^2h

V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3

3 0
3 years ago
Read 2 more answers
Andrea has 18 yards of fabric how many 4 inch pieces can she cut from her original piece
Nikolay [14]
Andrea can cut 4 1/2 (or 4.5) inch pieces from her original piece.

18/4 = 4.5


Hope this helps!
5 0
3 years ago
A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long co
zvonat [6]
The answer is c. ...
6 0
3 years ago
Read 2 more answers
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