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boyakko [2]
3 years ago
7

Write the faction ration for each of the following. If m

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
4 0

Answer:

\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1}, \\\\GI=5.0

Step-by-step explanation:

In any right triangle, the following is true:

The sine of any angle is equal to its opposite side divided by the hypotenuse of the triangle. (o/h)

The cosines of any angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of any angle is equal to its opposite side divided by its adjacent side. (o/a)

Thus,

\text{3. }\\\tan D=\frac{7}{4},\\\\\sin D=\frac{7}{8.1}, \\\\\cos D=\frac{4}{8.1},

\text{4. }\tan 68^{\circ}=\frac{GI}{2},\\GI=2\tan68^{\circ}=4.95017370683\approx \boxed{5.0}

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6 0
3 years ago
Read 2 more answers
Sue has one spin of the circular spinner shown below.
VARVARA [1.3K]

Answer:

Colour | Probability

YELLOW | 0.20

WHITE | 0.18

GREEN | 0.12

RED | 0.18

BLUE | 0.32

Step-by-step explanation:

The complete question is presented on the attached image to this solution.

From the image of the spinner and the given probabilities, the combination of YELLOW, WHITE and GREEN make up exactly half of the total space on the spinner.

0.2 + 0.18 + 0.12 = 0.50

Then, BLUE and RED make up the other half of the spinner.

Probability of landing on either BLUE or RED = 1 - 0.50 = 0.50

Let P(BLUE) = x and P(RED) = y

x + y = 0.50

Two of the lines shown on the diagram are diameters of the circle.

The first line that is a diameter splits the circle into two parts; (WHITE, YELLOW, GREEN) and (RED, BLUE).

From here, we have established that x + y = 0.50

The other line that is a diameter splits The circle into two part; (WHITE, BLUE) and (YELLOW, GREEN, RED)

From this other information,

P(WHITE) + P(BLUE) = 0.50

0.18 + x = 0.50

x = 0.50 - 0.18 = 0.32

P(YELLOW) + P(GREEN) + P(RED) = 0.50

0.20 + 0.12 + y = 0.50

y = 0.50 - 0.32 = 0.18

To check, x + y = 0.32 + 0.18 = 0.50 (Correct!!)

Hope this Helps!!!

3 0
3 years ago
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