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Lisa [10]
3 years ago
15

North America burned 4.5 x 1016 btu of petroleum in 1998. At this rate, how many BTU's will be burned in 9 year?

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0
Hello. Sonny solving this equation, multiplying 4.5 by 1016 will give us 4,572 BTU's a year. However, we are looking for the amount looking for the amount that will burn in 9 years. When you multiply 4,572 by 9, you get 41,148. 41,148 BTU's will be burned in 9 years.
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Please help me I really need it
Art [367]

Answer:

Angle C

Step-by-step explanation:

By applying sine rule in the given triangle,

\frac{\text{sinB}}{CD}=\frac{\text{sinC}}{BD}=\frac{\text{sinD}}{BC}

\frac{\text{sinB}}{\text{sinC}}=\frac{\text{CD}}{\text{BD}}

Therefore, sides of the given triangle will be in the same ratio as the sine of the angles.

Since, BD > BC > CD

Therefore, Opposite angles of these sides will be in the same ratio.

∠C > ∠D > ∠B

Largest angle of the triangle is angle C.

7 0
3 years ago
HELP ASAP TIMED !!!! What is the exact value of cos(c + d), given Sine c = StartFraction 24 Over 25 EndFraction for c in Quadran
Keith_Richards [23]

9514 1404 393

Answer:

  D

Step-by-step explanation:

In the second quadrant, ...

  c = 180° -arcsin(24/25) ≈ 106.26°

In the third quadrant, ...

  d = 360° -arccos(-3/4) ≈ 221.41°

Then cos(c+d) = cos(327.67°) ≈ 0.84498

This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:

  \dfrac{21+24\sqrt{7}}{100}\approx 0.84498

_____

Perhaps you want to work this out using the trig identities.

  cos(c) = -√(1 -sin(c)²) = -7/25

  sin(d) = -√(1 -cos(d)²) = -(√7)/4

Then the desired cosine is ...

  cos(c+d) = cos(c)cos(d) -sin(c)sin(d)

  cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)

  cos(c+d) = (21 +24√7)/100 . . . . matches choice D

8 0
2 years ago
Solve 5p + 10 = 8p + 1. p =​
STALIN [3.7K]

Answer:

5p + 10 = 5(p+2)

8p + 1p =​ 9p

Step-by-step explanation:

your question was confusing and you didn't specify so the first one is factored and the second is simplified.. hope it helped, brainliest please?

6 0
3 years ago
Read 2 more answers
Please I don’t understand help me?!
prohojiy [21]

Answer:

BD = 35

Step-by-step explanation:

Calculate CD in right triangle ABC, then BD in right triangle BCD

Using Pythagoras' identity in both triangles.

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

In Δ ADC

CD² + AD² = AC² , substitute values

CD² + 9² = 15²

CD² + 81 = 225 ( subtract 81 from both sides )

CD = 144 ( take the square root of both sides )

CD = \sqrt{144} = 12

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

In Δ BCD

BD² + CD² = BC² , substitute values

BD² + 12² = 37²

BD² + 144 = 1369 ( subtract 144 from both sides )

BD² = 1225 ( take the square root of both sides )

BD = \sqrt{1225} = 35

5 0
3 years ago
Read 2 more answers
You buy a package of 12 pencils for $2.64. Write this rate as a unit rate.
andrew-mc [135]

Answer:

0.22 per

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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