Ask question

Ask question

All categories

2 years ago

9

15. Find the value of x and y rounded to the nearest tenth. X 34 45° 30° y

1 answer:

Ugo [173]2 years ago

6 0

Answer:

x = 24.0

y = 46.4

Step-by-step explanation:

Let opposite side = z

Using trigonometry :

Sin 30 = z / 34

z = 0.5 * 34

z = 17

We find x :

Sin 45 = 17 / x

x * sin45 = 17

x = 17 / sin 45

x = 24.04

Let y = y1 + y2

y1 = 17 / tan45

y1 = 17

y2 = 17/tan30

y2 = 29.44

y = 17 + 29.44

y = 46.44

You might be interested in

A polynomial that has 8 turning points is multiplied by another polynomial that has 7 zeros. What is the minimum degree of the n

Nata [24]

If there are 8 turning points in a polynomial graph, then the degree of the polynomial is n+1 or 9. On the other hand, this also applies to the number of zeros present in the function. If there are 7 zeros, then the degree is 8. Adding both degrees results to the resulting polynomial's degree is 16.

6 0

3 years ago

Question 1 (1 point)

Pavlova-9 [17]

Answer: 5

Step-by-step explanation: itswhere the 2 lines meet at the X

7 0

3 years ago

Guys, Can you please help me with these questions

MakcuM [25]

Answer:

a) $w^{13} x^{5} y^{6}$

b) $\frac{x}{3y^{6} }$

Step-by-step explanation:

a) $(w^{2} xy^{3} )^{2}(w^{3}x )^{3}$

1. Distribute the second power (2) outside the first pair of parenthesis:

$(w^{2(2)} x^{2} y^{3(2)} )$

= $w^{4} x^{2} y^{6} (w^{3}x )^{3}$

2. Distribute the third power (3) outside the second pair of parenthesis:

$(w^{3(3)} x^{3} )$

= $w^{4} x^{2} y^{6} w^{9} x^{3}$

3. Combine like terms:

$w^{13} x^{5} y^{6}$

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

b) $\frac{2x^{2} y^{5} }{6xy^{11} }$

1. Factor the number 6 (= 2 · 3):

$\frac{2x^{2} y^{5} }{2(3)xy^{11} }$

2. Cancel the common factor (2):

$\frac{x^{2} y^{5} }{3xy^{11} }$

3. Cancel out $xy^{5}$ in the numerator an denominator:

$\frac{x}{3y^{6} }$

hope this helps!

4 0

2 years ago

What is reasonable first step that can be used to solve the equation 2(x+6)=3(x-4)+5?

blagie [28]

Answer:

Distribute 2 to (x + 6) and 3 to (x-4)

Step-by-step explanation:

8 0

3 years ago

The upper-left coordinates on a rectangle are (-6,0)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis, and the upper

nikklg [1K]

Answer:

See attachment for rectangle

Step-by-step explanation:

Given

$A = (-6,0)$

$B = (-4,0)$

$Area = 12$

Required

Draw the rectangle

First, we calculate the distance between A and B using distance formula;

$AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}$

So, we have:

$AB = \sqrt{(-6 - -4)^2 + (0- 0)^2}$

$AB = \sqrt{(-2)^2 + (0)^2}$

$AB = \sqrt{4 + 0}$

$AB = \sqrt{4}$

$AB = 2$

The above represents the length of the triangle.

Next, calculate the width using:

$Length * Width = Area$

$2* Width = 12$

Divide both sides by 2

$Width = 6$

This implies that, the width of the rectangle is 6 units.

We have:

$A = (-6,0)$

$B = (-4,0)$

Since A and B are at the upper left and right, then the ther two points are below.

6 units below each of the above point are:

$C = (-6,0-6)\\$ => $C = (-6,-6)$

$D = (-4,0-6)$ => $D = (-4,-6)$

Hence, the points of the rectangle are:

$A = (-6,0)$

$B = (-4,0)$

$C = (-6,-6)$

$D = (-4,-6)$

<em>See attachment for rectangle</em>

6 0

3 years ago