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3 years ago

What trig function would I use to solve for x?

Mathematics

2 answers:

Lynna [10]3 years ago

7 0

Answer:

Sine

Step-by-step explanation:

sine = opposite/hypotenuse

sin59 = x/16

wlad13 [49]3 years ago

7 0

Answer:

Sine

Step-by-step explanation:

SohCahToa.

The two sides are on the opposite side of the angle and on the hypotenuse.

(hope this helps :P)

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In a trapezoid the lengths of bases are 11 and 18. The lengths of legs are 3 and 7. The extensions of the legs meet at some poin

Mademuasel [1]

Answer: $7\frac{5}{7}$ unit and 18 unit

Step-by-step explanation:

Let ABCD is a trapezoid where AB and CD are the bases. ( In which AB is greatest base which shown in below figure)

AD and BC are the legs of the trapezoid ABCD.

Now, we have ( According to the question ),

AB = 18 unit, BC = 7 unit, AD = 3 unit and DC = 11 unit.

Here the leg AD extends from point D.

Similarly leg BC extends from point C.

Let they meet at point P ( shown in below diagram)

Since In triangles PAB and PDC,

∠PDC ≅ ∠PAB ( because DC ║ AB )

And, ∠ PAB ≅ ∠ PBA

∠DPC ≅ ∠ APB ( reflexive)

Therefore, By AAA similarity postulate,

$\triangle PDC \sim \triangle PAB$

Thus, By the definition of similarity,

$\frac{PD}{PA} = \frac{DC}{AB}$

$\frac{PD}{PD+3} = \frac{11}{18}$ ( because PA = PD+DA)

⇒ 18 PD = 11 PD +33

⇒7PD = 33

⇒ PD = 33/7

Again by the definition of similarity,

$\frac{PC}{PB} = \frac{DC}{AB}$

$\frac{PC}{PC+7} = \frac{11}{18}$ ( because PB = PC + CB)

⇒ 18 PC = 11 PD +77

⇒7PC = 77

⇒ PC = 11

Thus, PA = PD+DA = 33/7 + 3 = $7\frac{5}{7}$

And, PB = PC + CB = 11 + 7 = 18

8 0

3 years ago

Solve the following:<br>a) 2(5x – 3) = 24<br>b) 5(2x + 1) = 50

likoan [24]

Answer:

x = 3 and x = $\frac{9}{2}$

Step-by-step explanation:

(a)

2(5x - 3) = 24 ( divide both sides by 2 )

5x - 3 = 12 ( add 3 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

(b)

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = $\frac{9}{2}$

3 0

2 years ago

Please help 30 points Asap

Andrej [43]

40 units2˛

Looking at the figure, the rectangle has the vertexes (2,1), (3,-3), (-5,-5) and (-6,-1). The parallelogram has the vertexes (2,7), (3,3), (3,-3), and (2,1).

The area of a parallelogram is base times height. We have 2 vertical lines at x=2 and x=3, so the height is 1. And the length of the line from (3,3) to (3,-3) is 6, so the base is 6. Therefore the area of the parallelogram is 1*6 = 6.

The rectangle is a tad trickier since it's not aligned with either the x or y axis. But we can use the Pythagorean theorem to get the lengths.

L = sqrt((2 - -6)^2 + (1 - -1)^2)

L = sqrt(8^2 + 2^2)

L = sqrt(64 + 4)

L = sqrt(68) = 2*sqrt(17)

W = sqrt((2-3)^2 + (1- -3)^2)

W = sqrt((-1)^2 + 4^2)

W = sqrt(1 + 16)

W = sqrt(17)

And the area is length * width, so:

2*sqrt(17)*sqrt(17) = 2 * 17 = 34

And the total area is the sum of the areas, so

34 + 6 = 40

So the area of the figure is 40 square units.

7 0

3 years ago

Read 2 more answers

Brainly on the graph plot the points for height

TEA [102]

Answer:

Step-by-step explanation:

what points do you want me to plot?

8 0

2 years ago

Please help. Show all work:)

Alex787 [66]

Answer:

Step-by-step explanation:

$(3+\sqrt{-16})(6-\sqrt{-64})=(3+4\sqrt{-1})(6-8\sqrt{-1})=2(3+4\sqrt{-1})(3-4\sqrt{-1})\\\\=2(3^2-(4\sqrt{-1})^2)=2(9-(-16))\\\\=2(25)=50$

We make use of the special form for the difference of squares:

(a+b)(a-b) = a²-b²

8 0

3 years ago