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2 years ago

How can exponents help you to find the area of a rectangle if each side length is multiplied by X

1 answer:

4 0

Umm I can't really explain but like everyone knows that a rectangle had four sides so if each side is multiplied by x then it's going to be that number to the fourth power because you know 4 sides four x's but I not 100% sure just wanted to help out

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Solve for x. Round to the nearest hundredth.

Airida [17]

Answer: $32.98^{\circ}$

Step-by-step explanation:

Since, By the given diagram,

In quadrilateral ABCD, all angles are right angles ⇒ DC = AB = 15 cm and CB = DA

Also, In triangle DFA,

$sin 56^{\circ} = \frac{DA}{DF}$

⇒ $sin 56^{\circ} = \frac{DA}{16}$

⇒ $16\times sin 56^{\circ}=DA$

⇒ $13.2646011609\text{ cm} = DA$

Now, In triangle, DEC,

$tan x = \frac{EC}{DC}$

⇒ $tan x = \frac{EB-CB}{DC}$

⇒ $tan x = \frac{EB-DA}{DC}$

⇒ $tan x = \frac{23-13.2646011609}{15}$

⇒ $tanx = \frac{9.73539883912}{15}$

⇒ $tanx = 0.64902658927$

⇒ $x = 32.9846428556^{\circ} \approx 32.98^{\circ}$

3 0

3 years ago

Does anyone know the answer

aleksandrvk [35]

Answer: two units to the left, four units down and reflected across the y axis

8 0

1 year ago

There are 31 coins of dimes and quarters. If the number of dimes is 5 more than the number of quarters, how many quarters are th

emmasim [6.3K]

Answer:

13 Quarters and 18 Dimes

Step-by-step explanation:

Let D and Q stand for the numbers of Dimes(D) and Quarters(Q). Give x and y a break, and make it easier to remember which is which.

D + Q = 31

D = Q + 5

Therefore:

D + Q = 31

(Q+5) + Q = 31

2Q + 5 = 31

2Q = 26

Q = 13

Then D = (13+5) or 18

================

Check:

D + Q = 31 ?

18 + 13 = 31 YES

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

D = Q + 5 ?

18 = 13 + 5 YES

5 0

1 year ago

H + 12 = 31 equal what equation h=

Oksi-84 [34.3K]

Move 12 to the other side, making it negative
h=31-12
h=19

3 0

2 years ago

there is 4/5 lb of sand in science supplies. if one scoop of sand weighs 1/20 of a lb how many scoops of sand can maria get from

tatuchka [14]

We want to divide whole sand into scoops, so we have to divide 4/5 by 1/20. Lets do this

$\frac{ \frac{4}{5} }{ \frac{1}{20} }$
We know that if we want to divide 2 fraction we can multiply first by inverse of second fraction instead of dividing.,so:
$\frac{ \frac{4}{5} }{ \frac{1}{20} }$
$\frac{4}{5}* \frac{20}{1}= \frac{4*20}{5*1} = \frac{80}{5}= 16$ scoops - its our result.

5 0

2 years ago