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mote1985 [20]
3 years ago
15

See image for math question. Please Help

Mathematics
1 answer:
melamori03 [73]3 years ago
7 0
Answer:
x = 3

Explanation:
Let's first start with the front triangle.
This one is an isosceles right-angled triangle. This means that it has special side lengths of: s , s and s√2 with s√2 being the hypotenuse.
Since we have the hypotenuse = 6√2 units
Therefore, each of the other two sides would be of length = 6 units

Now, let's consider the side triangle.
This one is also a right-angled triangle. This means that special trigonometric functions can be applied.
These functions are:
sin (θ) = opposite / hypotenuse
cos (θ) = adjacent / hypotenuse
tan (θ) = opposite / adjacent

Now, we have:
θ = 60°
adjacent side = x
hypotenuse = 6 units (calculated from the previous step)

Substitute with the givens in the cos function to get the value of x as follows:
cos (60) = x / 6
x = 6 * cos(60)
x = 3 units

Hope this helps :)
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Convert 16/5 to a decimal using long division PLEASE HELP TY!!<3
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3.2

Step-by-step explanation:

The Image attached below.

The given fraction is \frac{16}{5}\.

Step 1: Write the numerator inside.and denominator outside.

Step 2: If we multiply a number 5 by 3 we get 15. Write 3 in the quotient place.

Step 3: Now subtract 15 from 16, we get 1

Step 4: Place a decimal point after 3 and give one zero after 1, we get 10.

Step 5: Now multiply 5 by 2, we get 10.

Step 6: Subtract 10 from 10, the remainder is 0.

Step 7: The decimal is 3.2.

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3 years ago
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Solve the equation -10x+1+7x=37
Law Incorporation [45]

Answer:

x = -12

Step-by-step explanation:

-10x+1+7x=37

Combine like terms

-3x+1 = 37

Subtract 1 from each side

-3x+1-1 = 37-1

-3x = 36

Divide by -3

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3 years ago
Philip
Zigmanuir [339]

*seed attachment for diagram

Answer:

83°

Step-by-step explanation:

Given:

Philip = (8x + 12)°

Matt = (55 - 3x)°

George = (10x + 23)°

Required:

Measure of angle at George's position

SOLUTION:

Find the value of x

(8x + 12)° + (55 - 3x)° + (10x + 23)° = 180° (sum of the interior angles of a ∆)

8x + 12 + 55 - 3x + 10x + 23 = 180

Add like terms

15x + 90 = 180

15x = 180 - 90 (subtraction property of equality)

15x = 90

x = 90/15 (division property of equality)

x = 6

✔️George = (10x + 23)°

Plug in the value of x

George = 10(6) + 23 = 60 + 23

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3 years ago
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Answer:

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Because (x-4)(x+2)=x^2-4x+2x-8=16,

so that means x^2-2x-8=16,

move 16 to the other side,

you get x^2-2x-8-16=0,

simplify,

you get x^2-2x-24=0,

which satisfies (x+4)(x-6)=0 when factored out.

Because (x+4)(x-6)=x^2+4x-6x-24=x^2-2x-24=0.

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The equation that would match the context would be:

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