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anygoal [31]
3 years ago
10

If sin θ = 1 over 3 and tan θ < 0, what is the value of cos θ?

Mathematics
1 answer:
alexira [117]3 years ago
3 0

Answer:

2√2 / 3 (first answer choice)

Step-by-step explanation:

If tan Ф < 0, then Ф must be in either Quadrant II or Quadrant IV.

If sin Ф = +1/3, then Ф (for this problem) is in Quadrant II.

Remembering that sin Ф = opp / hyp = 1 / 3, we use the Pythagorean Theorem to find the adj side:

adj² + 1² = 3²,  or

adj² + 1 = 9, or    adj² = 8.  Since Ф is in Quadrant II, adj is negative.

The value of cos Ф = adj / hyp = √8 / 3 = 2√2 / 3

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Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm
Schach [20]

Answer:

a) Surface area = 616 cm²

b) Volume = V = 1083 cm³

Step-by-step explanation:

Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm

a) Formula for surface area = Base area × 1/2(perimeter × slant height)

Base area = Base edge²

=( 16 cm)² = 256 cm²

Perimeter = Base edge × 3

= 16 cm × 3 = 48 cm

Hence:

Surface Area = 256 cm² + 1/2(48 × 15)

= 256 cm² + 360 cm²

= 616 cm²

b) Volume = 1/3 × Base area × Height

1082.758616785cm³

Approximately = 1083 cm³

8 0
3 years ago
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions
ololo11 [35]

Answer:

The answer would be f(a)=-1

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7 0
3 years ago
arts and crafts shop has a bolt of crimson velvet 32 M long a customer came in during the morning and bought 120cm of the velvet
deff fn [24]

Answer:

2760

Step-by-step explanation:

I really don't know I just did 32x120

6 0
3 years ago
Write a linear function f with f(−10)=4 and f(−2)=4. f(x)=
ZanzabumX [31]

Answer:

f(x) = 4

Step-by-step explanation:

Let us assume that the linear function f(x) = ax + b

Here, we have to find the value of a and b to know the function.

Given that f(-10) = 4 and f(-2) = 4

So, -10a + b = 4 ....... (1) and

-2a + b = 4 .......... (2)

From equations (1) and (2) we get a = 0 and b = 4.

So, the linear function is f(x) = 4. (Answer)

8 0
3 years ago
What is the length x of PQ
Bas_tet [7]

Answer:

11.2

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If the rectangulars are similar then we can use similarity ratio to calculate value of x

CD is similar to RS and AB is similar to QP

4/6.4 = 7/x cross multiply expressions

4x = 44.8 divide both sides by 4

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6 0
3 years ago
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