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Neko [114]
3 years ago
5

Sin^2 θ - secθcosθ + cos^2 θ =

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer:

0

Step-by-step explanation:

sin²θ + cos²θ = 1

secθcosθ = (1/cosθ)cosθ = 1

1 - 1 = 0

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james and elaine share a box of sweet in the ratio 2:3 what fraction of sweets does james receive and elaine receive​
morpeh [17]
The ratio needs to be turned into a fraction. So we write 2:3 as 2/3. Since it can’t be reduced any further the answer is 2/3.
6 0
3 years ago
A submarine travels N45 W 16 miles. It then turns a course of 216 measured clockwise off of due north and travels until it is du
lozanna [386]

Answer:

19.5 miles

Step-by-step explanation:

The question is represented in the image attached.

∠A = 45°, ∠B = 45° + (216° - 180°) = 81°

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

45° + 81° + ∠C = 180°

126 + ∠C = 180

∠C = 180 - 126

∠C = 54°

The sine rule states that for a triangle with sides a, b, c and their corresponding opposite angles A, B and C. The following rule holds:

\frac{a}{sin(A)}= \frac{b}{sin(B)}= \frac{c}{sin(C)}

b = length of beginning of submarine to end point. Using sine rule:

\frac{b}{sin(81)} =\frac{16}{sin(54)} \\\\b=\frac{16}{sin(54)}*sin(81)\\\\b=19.5\ miles

7 0
3 years ago
Write the number equal to 7 tens and 3 ones
Andru [333]

7 tens and 3 ones = 73

7 0
3 years ago
Read 2 more answers
Ms. Anastasopoulos has 30 students. 4/5 of the students have pets. OF the students who have pets, 2/3 of them have a dog as a pe
Lena [83]

Answer:

16

Step-by-step explanation:

since 4/5 have a pet, you would divide by 5.

30÷5=6

but since only 4 have a pet, you would multiply that by 4 to get 4/5

6×4=24

24 students have pets

now you would divide by 3, as 2/3 have a dog

24÷3=8

but only 2/3 have dog, so you would multiply by 2

8×2=16

I'm sure there is a simpler way but this is how I would do it.

6 0
3 years ago
Find the EXACT circumference of a circle with the radius of 12 feet.
spayn [35]

Answer:

D. 37.68

Step-by-step explanation:

7 0
3 years ago
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