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Ilia_Sergeevich [38]
2 years ago
6

Which expression is equivalent to 6^2 times 6^6? a. 6^8 b. (6^3)^5 c. 6^12 d. 6^8/6

Mathematics
1 answer:
ratelena [41]2 years ago
8 0

Step-by-step explanation:

<u>Rule:</u>

When exponents multiply, they're adding.

<u>Multiply:</u>

{6}^{2}  \times  {6}^{6}  =  {6}^{2 + 6}  =  {6}^{8}

Option A is correct.

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The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the lean
Marizza181 [45]

Answer:

56 meters.

Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}

Upon substituting our given values we will get,

\text{Cos (4)}=\frac{55.86}{h}

h=\frac{55.86}{\text{Cos (4)}}

h=\frac{55.86}{0.99756405026}

h=55.996\approx 56                      

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

6 0
3 years ago
A tree that was 30 meters high was broken so that the broken part was 7 times the length of the part that was left
nikitadnepr [17]

Answer:

Broken = 7x

Step-by-step explanation:

Left = x

x(7x) = 30

(7x² = 30)⅐

x² = 4.285

√x² = √4.285

x = 2.07

Left = 2.07 meters

Broken = 7 x 2.07 = 14.49 meters

i hope this is correct!

good luck on ur test!

5 0
3 years ago
Please help me asap!!!
Dmitry [639]

Answer:

So here is how we are going to get the measure of angle 2.

Since given that angle COE measures 55°, we will equate m∠2 = 2x and m∠3 = x+10 with 55. So, 55 = 2x + x + 10

55 = 3x + 10

55-10 = 3x

45 = 3x << divide both sides by 3 and the result is

15 = x

So now that we know x, we can now solve for angle 2.

m∠2 = 2x

m∠2 = 2(15)

m∠2 = 30°

I hope that this is the answer that you are looking for.

5 0
3 years ago
 7.5% sales tax on a $210.00 pendant
KonstantinChe [14]

Answer:

225.75

Step-by-step explanation:

Before Tax Price: $210.00

Sale Tax: 7.50% or $15.75

After Tax Price: $225.75

7 0
3 years ago
Read 2 more answers
Find two decimals that are equivalent to (8x100)+(3x1/10)+(6x1/00)
cricket20 [7]
800.36
or i guess something like 800+0.36
5 0
3 years ago
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