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Irina-Kira [14]
3 years ago
7

Can someone please please help me with this question???

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
5 0

I will do this in a proof format

Statements                                     | Reasons

AE congruent BE                           |  Given

Ang. 1 congruent Ang.  2               | Given

Ang. 3 congruent ang. 4                | Vert. Ang. Thm.

Tri. ACE congruent Tri. BDE          | ASA Post.

CE congruent DE                            | CPCTC

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Question 1.
tangare [24]

Answer:

1. 8.03 x 108 2. 6.8 × 10-9 3. 135,900 4. 2.5x10^-11

Step-by-step explanation:

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 803,000,000New Number: 8.03000000Step 2

Now, to find b, count how many places to the right of the decimal.

New Number:8.03000000Decimal Count:12345678

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 8.03 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

8.03 x 108

Step 4

Check your work:

108 = 100,000,000 x 8.03 = 803,000,000

7 0
2 years ago
Calculate the percent change in net sales from
oksian1 [2.3K]

Answer:

8.7%

Step-by-step explanation:

Well the net sales of Quarter 1 = 115 whilst the net sales of Quarter 2 = 125.

So the difference in the 2 numbers is 125-115 = 10

To find percentage change, you do 10/115 = 0.0869565217

Then, 0.0869565217 x 100 = 8.7% change to 1 decimal point.


So your percentage change is 8.7%.

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2 years ago
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Step-by-step explanation:

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2 years ago
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Answer:

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Step-by-step explanation:

6 0
3 years ago
Solve 2csc^2x-2cscx-1=0 <br> for 0° ≤ x ≤ 360°
umka21 [38]

Answer:

Step-by-step explanation:

2 csc²x-2 csc x-1=0

or

\frac{2}{sin^2x} -\frac{2}{sin x} -1=0\\multiply~by~sin^2x\\2-2sin~x-sin^2x=0\\sin^2x+2sinx-2=0\\sin ~x=\frac{-2 \pm\sqrt{2^2-4*1*(-2)} }{2*1} \\=\frac{-2 \pm\sqrt{4+8} }{2} \\=\frac{-2 \pm\sqrt{4*3} }{2} \\=\frac{-2 \pm2\sqrt{3} }{2} \\=-1\pm\sqrt{3} \\|sin~x| \le ~1\\so~sin~x=-1+\sqrt{3} \\sin~x=\sqrt{3} -1\\x=sin^{-1}(\sqrt{3} -1) \approx 47.06^\circ,180-47.06\\or~x=47.06^\circ,132.94^\circ

6 0
3 years ago
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