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3 years ago

How do i find the value of x , i’m so confuseddd !

Mathematics

1 answer:

olasank [31]3 years ago

5 0

Answer:

x ≈ 61.3

Step-by-step explanation:

Using the Sine rule, that is

$\frac{6}{sinx}$ = $\frac{5.8}{sin58}$ ( cross- multiply )

5.8 × sinx = 6 × sin58° ( divide both sides by 5.8 )

sin x = $\frac{6sin58}{5.8}$ ≈ 0.87729, thus

x = $sin^{-1}$ (0.87729) ≈ 61.3

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What is the area of this figure?

Vladimir79 [104]

Answer:

97 square miles

Step-by-step explanation:

Let us divide this figure into rectangles, each of set dimensions;

$Dimensions of Rectangle A - Height ; 2 mi, Length ; 9 mi\\Area of Rectangle A - Height * Length = 2 mi * 9 mi = 18 square miles,\\\\Dimensions of Rectangle B - Height ; 2 mi + 5 mi = 7 mi, Length ; 5 mi\\Area of Rectangle B - Height * Length = 7 mi * 5 mi = 35 square miles,\\\\Dimensions of Rectangle C - Height ; 4 mi + 5 mi + 2 mi = 11 mi, Length ; 4 mi,\\Area of Rectangle C - Height * Length = 11 mi * 4 mi = 44 square miles,\\\\Area of Figure = 18 + 35 + 44 = 97 square miles$

Solution; 97 square miles

4 0

3 years ago

What are the coordinates of the vertex for f(x) = x2 + 4x + 10?

MAVERICK [17]

You have to complete the square to get it into vertex form. Do this by setting the function equal to zero and at the same time moving the constant over to the other side of the equals sign so you have this: $x^{2} +4x=-10$ . Now we can complete the square on the polynomial by taking half the linear term, squaring it, and adding it to both sides. Our linear term is 4. Half of 4 is 2, and 2 squared is 4, so we add 4 to both sides: $( x^{2} +4x+4)=-10+4$ and simplify to get $( x^{2} +4x+4)=-6$ . In this process we have created a perfect square binomial on the left, which happens to be $(x+2) ^{2}=-6$ . Now move the -6 back over by addition to get $(x+2) ^{2} +6=y$ . The vertex is found at (-2, 6), the third choice down.

7 0

3 years ago

Read 2 more answers

Suppose you invest $150 a month for 5 years into an account earning 7% compounded monthly. After 5 years, you leave the money, w

lisabon 2012 [21]

Answer:

About 0.3 billion dollars

Step-by-step explanation:

5 years = 60 months.

The 150 of the first month will be 150*1.07^60 in 5 years.

The 150 of the second month will be 150*1.07^59 in 5 years.

The 150 of the third month will be 150*1.07^58 in 5 years.

And so forth.

So we sum that up:

( sum_(n=1)^(60) 150×1.07^n)

And multiply with

× 1.07^(5×23)

to account for the increase in value in the following 23 years.

7 0

3 years ago

Toya is using a cake recipe that calls for two cups of sugar and 3 cups of flour. she wants to make a larger amount of cake batt

posledela

Answer:

4 cups of sugar

Step-by-step explanation:

2 x 2 = 4

Toya will use 4 cups of sugar.

5 0

2 years ago

Solve for the missing side to the nearest tenth. 19 X 51

telo118 [61]

Answer:

x = 30.2 units

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.

We use the cosine ratio to calculate x:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 51^\circ=\frac{19}{x}$

Solving for x:

$\displaystyle x=\frac{19}{\cos 51^\circ}$

$\displaystyle x=\frac{19}{0.6293}$

x = 30.2 units

3 0

2 years ago