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vichka [17]
3 years ago
12

Help find x out of these 4 questions i can’t find the answer anywheew

Mathematics
1 answer:
babunello [35]3 years ago
4 0

Answer:

Option D. 11√6/2

Step-by-step explanation:

We'll begin by calculating the side opposite to angle 60°.

This is illustrated below:

Angle θ = 60°

Opposite =?

Hypothenus = 11

Using the sine ratio, we can obtain the side opposite to angle 60° as follow:

Sine θ = Opposite/Hypothenus

Sine 60 = Opposite /11

Cross multiply

Opposite = 11 × Sine 60

Sine 60 = √3/2

Opposite = 11 × √3/2

Opposite = 11√3/2

Finally, we shall determine the value of x as follow:

Angle θ = 45°

Opposite = 11√3/2

Hypothenus = x

Using the sine ratio, we can obtain the value of x as shown below:

Sine θ = Opposite/Hypothenus

Sine 45° = 11√3/2 /x

Cross multiply

x × Sine 45° = 11√3/2

Sine 45° = 1/√2

x × 1/√2 = 11√3/2

x/√2 = 11√3/2

Multiply through by √2

x = √2 × 11√3/2

x = 11√6/2

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The perimeter of a triangle is 47 feet. One side of the triangle is one foot longer than the second side. The third side is four
Ugo [173]

Answer:

The lengths of all three sides (in feet) are = 15, 14, and 18 feet

Step-by-step explanation:

Perimeter of Triangle = 47ft

Let the one side be 'x'

<em>Side 1 = x</em>

One side of the triangle is one foot longer than the second side

<em>Side 2 = x - 1</em>

<em>The third side is four feet longer than the second side</em>

<em>Side 3 = (x - 1) + 4</em>

<em />

<em>Perimeter = sum of all sides</em>

<em>47 = x + (x - 1) + (x - 1) + 4</em>

<em>47 = x + x - 1 + x - 1 + 4</em>

<em>47 = 3x + 2</em>

<em>47 - 2 = 3x</em>

45 = 3x

<u>x = 15</u>

substitute for x in each of the sides

<em>Side 1 = x                   => </em><em>15 feet</em>

<em>Side 2 = x - 1              => 15 - 1 = </em><em>14 feet</em>

<em>Side 3 = (x - 1) + 4      => 14 + 4 = </em><em>18 feet</em>

6 0
3 years ago
Read 2 more answers
Rewrite 4.4.6.4.4.6 using exponents<br>​
kondaur [170]

Answer:

4^{4}×6^{2}

Step-by-step explanation:

There is 2 of the same number 6 and there is 4 of the number 4

I hope this helps

6 0
3 years ago
The quadrilaterals ABBCD<br> and PQRS<br> are similar. <br> Find the length <br> of X<br> .
choli [55]
3÷3.6=5/6

4÷5/6=4.8

x=4.8
6 0
3 years ago
Yu and Elena each bought between 7 and 9 yards of ribbon. Yu
Mumz [18]

Given: Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon  Yu bought 3 pieces of ribbon. Nailah bought 5 pieces of ribbon. Elena bought 6 pieces of ribbon.

To find: Who can buy which ribbon

Solution:

Ribbon Sizes

1 2/3 = 5/3  yard

4/5  yard

3 1/2  = 7/2 Yard

Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon

Yu bought 3 pieces of ribbon

=> 3 * 5/3  = 5

  3 * 4/5  = 2.4

  3 * 7/2   = 10.5

Nailah  bought 5 pieces of ribbon

=> 5 * 5/3  = 8.33

   5 * 4/5  =  4

   5 * 7 /2   = 17.5

Elena bought 6 pieces of ribbon

=> 6 * 5/3  = 10

  6 * 4/5  = 4.8

  6 * 7 /2   = 21

Only value between 7 & 9 is 5 * 5/3  = 8.33

hence Nailah only can buy 1 2/3 = 5/3  yard ribbon

or there is some mistake in the data

6 0
2 years ago
(6x+3) (4x-5) (simp) I try to do this one and got the answer 24x^2-18x-15 but I was told it was wrong
Gemiola [76]

Answer:

(6x+3) (4x-5) = 24x^2 -30x +12x -15 = 24x^2 -18x -15

I get the same answer.  I guess we're both wrong?

Or do they want it reduced to:

8x^2 -6x -5


Step-by-step explanation:


8 0
3 years ago
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