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Ronch [10]
3 years ago
5

Solve for x in the triangle. Round your answer to the nearest tenth.

Mathematics
1 answer:
natta225 [31]3 years ago
5 0

Answer:

x = 5.5 to the nearest tenth.

Step-by-step explanation:

Here we have a right triangle with one angle (65 degrees) given.  Side x is the "side adjacent to the angle" and is to be found.  The hypotenuse is 13.

The cosine function makes use of these three knowns:  the angle, the hypotenuse and the adjacent side.  Thus:

cos 65 degrees = adj / hyp = x / 13, or

x = 13 cos 65

Evaluating this on a calculator, we get  x = 5.49, or x = 5.5 to the nearest tenth.

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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2
olga55 [171]

Answer:

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

3 0
3 years ago
Read 2 more answers
Find the product. (a3 + 8)(a3 – 8)
kogti [31]
1. Use difference of squares: a^2-b^2=(a+b)(a-b)
(a^3)^2-8^2
2. Use power rule: (x^a)^b=x^(ab)
a^6-8^2
3. Simplify 8^2 to 64
a^6-64

Your answer is d. 
6 0
3 years ago
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Solve the measurement conversion problem. 1g= 1,000mg
elena-s [515]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
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Sign numbers, ratios &amp; Proportion <br><br> (+10) + (+6) = ?
Viefleur [7K]

Answer:

16

Step-by-step explanation:

Putting a + in front of a number indicates that the number is positive. so we are just going to add it up.

10+6=16

10:6=5:3

Hope it helps:)

7 0
3 years ago
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What is the volume of this solid?<br><br> A. 1104<br> B. 132<br> C. 96<br> D. 276
statuscvo [17]

For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:

The volume of the prism is given by:

V = A_ {b} * h

Where:

A_ {b}: It is the area of the base

h: It's the height

Substituting:V = 6 * 6 * 6\\V = 216 \ units ^ 3

The volume of the pyramid is given by:

V = \frac {1} {3} * L ^ 2 * h

Where:

L ^ 2:It is the area of the base

h: It's the height

Substituting:

V = \frac {1} {3} * 6 ^ 2 * 5\\V = \frac {1} {3} * 36 * 5\\V = 60units ^ 3

We add and we have:

V = 276 \ units ^ 3

ANswer:

Option D

6 0
3 years ago
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