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3 years ago

What is the value of x? Enter your answer in the box. X=

Mathematics

1 answer:

vodomira [7]3 years ago

7 0

Answer:

x = 80

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 30 + 70 = 180, that is

x + 100 = 180 ( subtract 100 from both sides )

x = 80

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Please someone help me. It's about proving related to transformation of trigonometric ratios. Thank you!!

kvasek [131]

Answer:

see explanation

Step-by-step explanation:

Using sum to product identities

cos x - cos y = - 2sin( $\frac{x+y}{2}$ )sin( $\frac{x-y}{2}$ ) = 2sin( $\frac{x+y}{2}$ )sin( $\frac{y-x}{2}$ )

cos x + cos y = 2cos( $\frac{x+y}{2}$ )cos( $\frac{x-y}{2}$ )

Note that

sin10° = sin(90 - 10)° = cos80°

Thus

$\frac{2sin(\frac{10+80}{2})sin(\frac{80-10}{2}) }{2cos(\frac{10+80}{2})cos(\frac{80-10}{2}) }$ ← cancel 2 from numerator/ denominator

= $\frac{sin45}{cos45}$ × $\frac{sin35}{cos35}$

= tan45° × tan35° { tan45° = 1 ]

= 1 × tan35°

= tan35° ← as required

5 0

3 years ago

Read 2 more answers

Answer the following: GCF of 20 & 32 GCF of 45 & 75

Jet001 [13]

Answer:

GCF OF 20 AND 32: 4

Gcf of 45 and 75: 15

Step-by-step explanation:

GcF of 20 and 32

Factors of 20: 1, 2, 4, 5, 10, 20

Factors of 32: 1, 2, 4, 8, 16, 32

COMMON FACTORS: 1, 2, 4

GCF:4

Gcf of 45 and 75

Factors of 45: 15, 9, 5, 3, 1.

Factors of 75: 25, 15, 5, 3, 1.

CommoN factors: 1, 3, 5, 15

GCF:15

HOPE OT HELPED

3 0

3 years ago

Read 2 more answers

Help me

butalik [34]

Answer:

D. Tenths

Step-by-step explanation:

Because when you go behind the decimal, it starts out with tenths, then hundredths, and then thousandths. And 6 in the 1st spot behind the decimal so it's tenths.

hope I helped.

6 0

3 years ago

A and B are independent events. If P(A) = 0.50 and P(A and B) = 0.20, find P(B).

rewona [7]

The independent events are illustrations of probability, and the value of P(B) is 0.40

<h3>How to determine the value of P(B)?</h3>

The given parameters are:

P(A) = 0.50

P(A and B) = 0.20

Two events A and B are independent, if

P(A and B) = P(A) * P(B)

So, we have:

0.50 * P(B) = 0.20

Divide both sides by 0.50

P(B) = 0.40

Hence, the value of P(B) is 0.40