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andrey2020 [161]
3 years ago
12

Need help asap

Mathematics
2 answers:
mixas84 [53]3 years ago
8 0

Answer:

C. 31.4

Step-by-step explanation:

Given,

A right angled triangle in which one leg is of 18 unit,

Also, the angle opposite to that leg is of 35°,

We know that,

sin \theta =\frac{\text{Perpendicular}}{\text{Hypothesis}}

Thus, we can write,

sin 35^{\circ}=\frac{18}{x}

x sin 35^{\circ}=18       ( By cross multiplication )

x = \frac{18}{sin 35^{\circ}}=31.3820423212\approx 31.4

Hence, the value of x is approximately 31.4.

Option C is correct.

gregori [183]3 years ago
5 0
Sin (angle) = Opposite Leg / Hypotenuse

Sin(35) = 18 / x

x = 18 / sin(35)

x = 31.4

The answer is C.
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Ratling [72]
The formula for the surface area of a rectangular prism is

A= 2(wl+hl+hw)

We are given the height =2cm, width= 5cm, and length= 10cm. All you have to do is plug this info in!

A= 2(wl+hl+hw)
= 2[(5)(10)+(2)(10)+(2)(5)]
= 2(50+20+10)
= 2(80)
=160 cm squared

Hope this helps!! :)
4 0
3 years ago
Dividing the polynomial P(x) by x-6 yields a quotient by Q(x) and a remainder of 5.
bazaltina [42]

Dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.

As given in the question,

P(x) be the given polynomial

Dividing P(x) by divisor (x-6) we get,

Quotient = Q(x)

Remainder = 5

Relation between polynomial, divisor, quotient and remainder is given by :

P(x) = Q(x)(x-6) + 5   __(1)

Given Q(-6) = 3

Put x =-6 we get,

P(-6) = Q(-6)(-6-6) +5

⇒ P(-6) = 3(-12) +5

⇒ P(-6) =-36 +5

⇒ P(-6) = -31

Now x =6 in (1),

P(6) = Q(6)(6-6) +5

⇒ P(6) = Q(6)(0) +5

⇒ P(6) = 5

Therefore, dividing the given polynomial by (x -6) gives quotient Q(x) and remainder 5 then for Q(-6) = 3 , P(-6) = -31and P(6) =5.

The complete question is:

Dividing the polynomial P(x) by x - 6 yields a quotient Q(x) and a remainder of 5. If Q(-6) = 3, find P(-6) and P(6).

Learn more about polynomial here

brainly.com/question/11536910

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7 0
1 year ago
1/3 multiplied by 1 1/2
Andrei [34K]

Answer:

0.5

Step-by-step explanation:

6 0
3 years ago
Plz help me with this
Sergio [31]

9514 1404 393

Answer:

  d)  -4 ≤ x ≤ 1.5

Step-by-step explanation:

The domain is the horizontal extent of the graph. Here, it goes from about x=-4 to about x = 1.5.

There are solid dots on both ends of the line segment, so the inequality will use ≤ for both limits. The domain is ...

  -4 ≤ x ≤ 1.5

6 0
3 years ago
Nathan went shopping for a new camera because of a sale. The store was offering a 40% discount. If the price on the tag was $35,
tia_tia [17]

Answer:

The price after the discount but before the tax is $21

Step-by-step explanation:

Here, we are told there is a price off of 40% on an item that costs $35.

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We proceed by finding 40% of $35

Mathematically, that would be;

40/100 * 35 = $14

The price of the item before the tax is thus;

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4 0
3 years ago
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