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NemiM [27]
3 years ago
10

what is the exact value of cos(c+d), given sin c=24/25 for c in quadrant 2 and cos d=-3/4 for d in quadrant 3

Mathematics
1 answer:
maksim [4K]3 years ago
3 0

Answer:

1 3/100

21-24squareroot7/100

21

=24squareroot7/100

Step-by-step explanation:

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A triangle has a sides (x) feet, (x+3) feet, and (x+5) feet. The perimeter is 99.5 feet What is the measure for the largest side
ASHA 777 [7]

Answer:

35.5 feet

Step-by-step explanation:

x + x + 3 + x + 5 = 99.5

3x + 8 = 99.5

3x = 91.5

x = 30.5

Largest side = (x+5)

30.5 + 5 = 35.5 feet

3 0
3 years ago
What is the square root of 28
GrogVix [38]

Answer:5. 291503

Step-by-step explanation:

√28

2√7

5. 291503

8 0
3 years ago
NEED IT ASAP What is the value of x in the diagram below? A.18/ ROOT 3 B.18 ROOT 2/ROOT 3 C.18 ROOT 3/ ROOT 2 D. 18 ROOT 2
Ostrovityanka [42]

Answer:

x = B. 18 ROOT 2/ROOT 3

Step-by-step explanation:

There are two Triangles in the diagram above.

Step 1

We would solve for Triangle A First

Using Trigonometric function Cosine

cos θ = adjacent /hypotenuse

θ = 30°

Adjacent = 9 units

Hypotenuse = unknown

cos 30= 9/ Hypothenuse

Cross Multiply

cos 30 × Hypotenuse = 9

Hypotenuse = 9 / cos 30

cos 30 in surd form = √3/2

Hypotenuse = 9/√3/2

Hypotenuse = 9 × 2/√3

= 18/√3 units

Step 2

We would solve for the upper triangle = Triangle B

We are looking for x

θ = 45°

For Triangle B, the Hypotenuse we solved for in Triangle A is equivalent to the adjacent in Triangle B

Therefore ,

Hypotenuse for Triangle A = Adjacent side for Triangle B

θ = 45°

Adjacent = 18/√3 units

Hypotenuse = x = unknown

We would solve for this using Trigonometric function cosine

cos 45 = 18/√3 units / Hypothenuse

Cross Multiply

cos 45 × Hypotenuse = 18/√3 units

Hypotenuse = 18/√3 units / cos 45

cos 45 in surd form = 1/√2

Subtituting, we have

Hypotenuse (x) = 18/√3 units / 1/√2

Hypotenuse (x) = 18/√3 units ×√2/1

= 18× √2/ √3 units

= 18 √2/√3 units

Therefore x = Option B. 18 ROOT 2/ROOT 3

3 0
3 years ago
Henry's water bottle has a capacity of 1 liter. What is the capacity of Henry's water bottle in milliliters?
kondor19780726 [428]
1 liter is equal to 1000 milliliters

4 0
3 years ago
Read 2 more answers
In JKL. solve for x <br><br> 66.73<br> 74.89<br> 15.44<br> 38.16
liq [111]
By right triangle trigonometry, the sine of the measure of an angle is the ratio of the opposite side of this angle to the hypotenuse.

Thus, \displaystyle{\sin27^{\circ}= \frac{34}{x}


\sin27^{\circ} is a constant which can be found using a calculator:

with calc in pc: view → scientific → 27→sin = 0.45399, 

thus x=34/0.45399=74.89


Answer: 74.89
5 0
3 years ago
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