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3 years ago

3. Which choice is the correct way to write 0.0207 in scientific notation? * 17 points

1 answer:

7 0

2.07*10^-2

When using scientific notation you want to multiply it by ten with and exponent thy will move the decimal x many spaces. In this problem, the decimal was moved two spaces to the left of 2.07 so the exponent is 10^-2.

Hope that helps

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ACD is a triangle and B is a point on AC. AB = 8cm and BC is 6cm. Angle BCD = 48° and angle BDC = 50°. (a) Find the length of BD

FromTheMoon [43]

Answer:

5.8206 cm
10.528 cm
23.056 cm^2

Step-by-step explanation:

(a) The Law of Sines can be used to find BD.

BD/sin(48°) = BD/sin(50°)

BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm

(b) We can use the Law of Cosines to find AD.

AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°

AD^2 ≈ 110.841

AD ≈ √110.841 ≈ 10.5281 . . . cm

(c) The area of ∆ABD can be found using the formula ...

A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°

A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2

_____

Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.

5 0

3 years ago

At a school, all 60 students play on at least one of three teams: basketball, soccer, and mathletics. 8 students play all three

svet-max [94.6K]

Only 26 play on exactly 2 teams

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4 years ago

I need the answer now please

xxMikexx [17]

Answer:

180/147

Step-by-step explanation:

We need to find the additive inverse of the given numbers.

For finding it we may simply out -1 as multiplication in front of the terms .

SOLUTION 1 :-

→ 3/-7 - 11/21

→ -3/7 -11/21

→ 3×-3 - 11 /21

→ -9-11/21

→ -20/21

SOLUTION 2 :-

→ 9/5 ÷ 7/5

→ 9/5 × 5/7

→ 9/7

→ Product of nos . = -20/21 × -9/7

→ Ans = 180/147

7 0

3 years ago

A cell phone company has a basic plan of $40 plus $0.45 for any minutes over 700. Before receiving his statement, John saw he wa

Darya [45]

Answer:

$718\ min$

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the total charge in dollars

we know that

For x>700 min

$y=0.45x+40$

For y=48.10

substitute

$48.10=0.45x+40$

Multiply by 100 both sides

$4,810=45x+4,000$ ----> equation without decimals

solve for x

$45x=4,810-4,000\\45x=810\\x=18\ min$

To find out the total minutes we need to sum

$18\ min+700\ min=718\ min$

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4 years ago

Give some examples of quantities that increase or decrease at a constant rate expressed as a percent.

docker41 [41]

I would help but I'm not sure what you are asking for us to do

7 0

3 years ago

Read 2 more answers