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Reil [10]
3 years ago
5

PLS HELPPPPPPPPPPP Determine the approximate value of X round to the nearest hundredth

Mathematics
2 answers:
galben [10]3 years ago
5 0

Answer:

D.) x = 5.29

Step-by-step explanation:

first find the last angle measure 180-90-54=36

use law of sines to find x

sin90/9=sin36/x

(sin90)(x) = (sin36)(9)

(sin90)(x) = 5.29

x = 5.29

Likurg_2 [28]3 years ago
3 0

Answer:

Step-by-step explanation:

We can immediately elimate two answers since x cannot be larger than the hypotenuse, which is 9. You can cosine = adjaent/hypotenuse, which gives the equation cos(54) = x/9, which simplifies to x = 9*cos(54). When you plug this into a calculator, you should get 5.29. Keep in mind that 54 is measured in degrees and not radians because.

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Minchanka [31]

Answer:

33

Step-by-step explanation:

To evaluate f(- 3) substitute x = - 3 into f(x)

f(- 3) = - (- 3)³ + (- 3)² + (- 3) = - (- 27) + 9 - 3 = 27 + 9 - 3 = 33

3 0
3 years ago
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Write an expression to represent the submarine’s elevation after its final dive. Then simplify the expression to find its elevat
RideAnS [48]

Answer:

-502.5 − 115 = -617.5

The submarine’s elevation after its final dive is -617.5 feet, or 617.5 feet below sea level.

Step-by-step explanation:

Plato answer

3 0
3 years ago
A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an
Mkey [24]

Answer:

  • <u>120 pens and 200 pencils.</u>

<u></u>

Explanation:

You can set a system of two equations.

<u>1. Variables</u>

<u />

  • x: number of pens
  • y: number of pencils

<u>2. Cost</u>

  • <em>each pen costs</em> $1, then x pens costs: x
  • <em>each pencil costs</em> $0.5, then y pencil costs: 0.5y

  • Then, the total cost is: x + 0.5y

  • The cost of the whole purchase was $ 220, then the first equation is:

          x + 0.5y = 220 ↔ equation (1)

<u>3. </u><em><u>There were 80 more pencils than pens</u></em>

Then:

  pencils  =      80   +   pens

       ↓                               ↓

       y        =      80   +      x        ↔ equation (2)

<u>4. Solve the system</u>

i) Substitute the equation (2) into the equation (1):

  • x + 0.5(80 + x) = 220

ii) Solve

  • x + 40 + 0.5x = 220
  • 1.5x = 180
  • x = 180/1.5
  • x = 120 pens

iii) Substitute x = 120 into the equation (2)

  • y = 80 + 120
  • y = 200 pencils

Solution: 120 pens and 200 pencils ← answer

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They were 64 dogs and cats at the pet store. If 25% were cats, how many cats were at the pet store?
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Answer:

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Step-by-step explanation:

64 x 25%

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