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3 years ago

Find the exact value of tan 195 degrees

Mathematics

2 answers:

melamori03 [73]3 years ago

6 0

Answer:

$tan(195\°)=tan(15\°)=0.267949192431123...$

Step-by-step explanation:

We know that

$tan(195\°)=tan(15\°)$ , because $195\° - 180\° = 15\°$ .

Now, angle 15° or 195° is not an important angle which can be solve by a given table like 30°, 45° or 60°. This means we have to use the calculator to find the more exact value, which is

$tan(195\°)=tan(15\°)=0.267949192431123...$

NemiM [27]3 years ago

5 0

Answer:

0.267949192 8s the value of tan 195°

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5+2(w-6) how do i rewrite as addition and solve?

Firdavs [7]

Answer:

$2w - 7$

Step-by-step explanation:

1) Expand by distributing terms.

$5 + 2w - 12$

2) Collect like terms.

$2w + (5 - 12)$

3) Simplify.

$2w - 7$

Therefor, the answer is 2w - 7.

7 0

2 years ago

One number is 8 more than another number, and their sum is 16. What are the 2 numbers?

gayaneshka [121]

Answer:

x = 12

y = 4

Step-by-step explanation:

x + y = 16

x - y = 8

y + 8 = x

Replace x with y + 8 in the new equation

8 + 2y = 16 ----> we can minus 8 on both sides

2y = 8 -----> divide both sides by 2

y = 4

Now for the x value

x + 4 = 16 ----> minus 4 on both sides

x = 12

5 0

2 years ago

Read 2 more answers

Simplify (5+2i)(1-3i)

larisa86 [58]

Answer:

5-15i+2i-6(i^2)

-6(i^2)-13i+5

4 0

2 years ago

Given that T is the centroid of △DEF and FT=12

dlinn [17]

The centroid of a triangle divides the median of the triangle into 1 : 2

The measure of FQ is 18, while the measure of TQ is 6

Because point T is the centroid, then we have the following ratio

$\mathbf{TQ : FT =1 : 2}$

Where FT = 12.

Substitute 12 for FT in the above ratio

$\mathbf{TQ : 12 =1 : 2}$

Express as fraction

$\mathbf{\frac{TQ }{ 12} =\frac{1 }{ 2}}$

Multiply both sides by 12

$\mathbf{TQ =\frac{1 }{ 2} \times 12}$

This gives

$\mathbf{TQ =\frac{1 2}{ 2}}$

Divide 12 by 2

$\mathbf{TQ =6}$

The measure of FQ is calculated using:

$\mathbf{FQ = FT + TQ}$

Substitute 12 for FT, and 6 for TQ

$\mathbf{FQ = 12 + 6}$

Add 12 and 6

$\mathbf{FQ = 18}$

Hence, the measure of FQ is 18, while the measure of TQ is 6