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3 years ago

Determine the measure of x

Mathematics

2 answers:

grigory [225]3 years ago

3 0

Answer: 43 degrees

Step-by-step explanation:

mihalych1998 [28]3 years ago

3 0

Answer:

The value of x is 41.1 units .

Step-by-step explanation:

You have to use Cosine Rule, cosθ = adjacent/hypotenuse. Then substitute the following values into the formula :

$\cos(θ) = \frac{adj.}{hypo.}$

Let θ = 47°,

Let adj. = 28,

Let hypo. = x,

$\cos(47) = \frac{28}{x}$

$x \cos(47) = 28$

$x = \frac{28}{ \cos(47) }$

$x = 41.1 \: units \: (3s.f)$

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ivann1987 [24]

Let x be the unknown angle.
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x+50 = 120
Subtract both sides by 50
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Have an awesome day! :)

5 0

3 years ago

Read 2 more answers

A line passes through the point (5, 1) and is perpendicular to the x-axis. What is the slope of this line?

Rufina [12.5K]

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3 years ago

1.2 x 10^19 x 5.88 x 10^12

Lapatulllka [165]

9514 1404 393

Answer:

7.056 × 10^31

Step-by-step explanation:

The applicable rule of exponents is ...

(10^a)(10^b) = 10^(a+b)

$(1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}$

As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.

<em>Additional comments</em>

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.

7 0

2 years ago

Even though the elimination method is easy I still have trouble with it

kicyunya [14]

Answer:

(1,2)

Step-by-step explanation:

x+4y = 9

2x -4y= -6

Add the equations together

x+4y = 9

2x -4y= -6

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

3x +0y = 3

3x=3

Divide by 3

3x/3 = 3/3

x=1

Now find y

x+4y = 9

1 +4y =9

Subtract 1 from each side

4y = 8

Divide by 4

4y/4 = 8/4

y =2

6 0

3 years ago

By decreasing each dimension by 1 unit, the area of a rectangle decreased from 40 square feet (on the left) to 28 square feet

BabaBlast [244]

Attached a pic of the solution (s).

7 0

3 years ago