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2 years ago

8

Simplification of the expression (xyz2)4.

1 answer:

horrorfan [7]2 years ago

4 0

(xyz²)⁴
(x)⁴(y)⁴(z²)⁴
x⁴y⁴z⁸

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Mr. Jenkins was arranging chairs for a school awards assembly. Each row contained 15 chairs. If there were 21 rows. how many cha

g100num [7]

Answer:

315 chairs

Step-by-step explanation:

This question can instill your quick calculation skills which can be very useful when it comes to event planning.

1 row of chairs = 15 chairs

21 rows of chairs = 15 x 21

= 315 chairs.

5 0

1 year ago

What’s the answer to this question?

kobusy [5.1K]

The answer is 16.

First of all, you need to divide 4 by 1/4.

4/1 / 1/4 = 1.

15 - 1 + 2

Next, you go from left to right with addition and subtraction, so subtract 1 from 15 first.

15 - 1 = 14

14 + 2

Finally, add 14 and 2.

14 + 2 = 16.

7 0

2 years ago

drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge

jasenka [17]

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the <em>Pythagorean Theorem</em> to solve for the height of the chain:

$a^{2} +b^{2} =c^{2}$

$(3.3)^{2} +b^{2} =(5.2)^{2}$

$b^{2} =(5.2)^{2}-(3.3)^{2}$

$b =\sqrt{(5.2)^{2}-(3.3)^{2}}$

$b=4.0187...$

$b=4.0 m$

Now, we can use the <em>Law of Cosines</em> to figure out one of the acute angles:

$c^{2} =a^{2} +b^{2} -2ab(cos(C))$

$(3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))$

$cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}$

$C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})$

$C=39.3915...$

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

7 0

2 years ago

Eight beads are strung in a necklace with a clasp, how many ways<br> can the beads be arranged?

Elena L [17]

Answer:

Number of total arrangement of beads = 2,520

Step-by-step explanation:

Given:

Number of beads in necklace = 8 beads

Find:

Number of total arrangement of beads

Computation:

Changing beads is a cyclic permutation,

So,

Formula to find number of total arrangement in cyclic permutation

(n-1)!/2 , where n = number of item

So,

(n-1)!/2

Number of total arrangement of beads = (8-1)!/2

Number of total arrangement of beads = (7)!/2

Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2

Number of total arrangement of beads = 5,040 / 2

Number of total arrangement of beads = 2,520

7 0

2 years ago

Matthew is 7 years older then twice the age of his sister. If Matthew is 13, how old is his sister? (NOT SUBTRACTION,ITS MUCH MO

Nadusha1986 [10]

S = sisters ages

M =2S +7

M=13

13 = 2S+7

subtract 7 from each side

6 = 2S

divide by 2

3=S

sisters age is 3

4 0

2 years ago