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3 years ago

A figure is shown. 157.3° What is the measure, in degrees, of angle x?

Mathematics

1 answer:

Mandarinka [93]3 years ago

7 0

It is on a straight line which is equal to 180• so 189 -157.3 = 22.7•

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Answer these please

defon

Answer:

9: is answer 3

10: is answer 1

8 0

3 years ago

A board game has 25 cards, each printed with a number from 1 through 25. Sameer shuffled the cards, and then selected 1 card.

Yuki888 [10]

Total number of cards = 25 .
Total number of possible draws = 25
Number of possible successes = 5

(The successful draws are 1, 2, 3, 9, and 18.)

Probability of success = 5/25 = <em>1/5 </em> = 0.2 = 20%

7 0

3 years ago

The manager of a furniture factory finds that it costs $2400 to manufacture 60 chairs in one day and $4800 to produce 260 chairs

tamaranim1 [39]

Answer:

C(x) = 12x + 1680

Slope = 12

Intercept = 1680

Step-by-step explanation:

Given that:

X1 = 60 chairs ; y1 = 2400

X2 = 260 chairs ; y2 = 4800

Obtain the slope ; m

m = y2 - y1 / x2 - x1

m = 4800 - 2400 / 260 - 60

m = 2400 / 200

m = 12

Using the point slope relation:

y - y1 = m(x - x1)

y - 2400 = 12(x - 60)

y - 2400 = 12x - 720

y = 12x - 720 + 2400

y = 12x + 1680

C(x) = 12x + 1680

From the general slope intercept equation :

y = mx + c

m = slope ; c = intercept

Hence,

C(x) = 12x + 1680

Slope = 12

Intercept = 1680

5 0

2 years ago

What is the explicit formula for the sequence? -7,-4,-1,2,5

Archy [21]

an =a1+d(n-1)

a1=-7

d= -4--7=-4+7=3

an =-7+3(n-1)

an = -7+ 3n-3

an=-10+3n

5 0

3 years ago

Read 2 more answers

(cos A + cos b)^2 + (sin A + sin B)^2=?

emmasim [6.3K]

First, we expand the equation:

$cos^{2}A+2cosAcosB+ cos^{2}B+sin^{2}A+2sinAsinB+sin^{2}B$

Then, we combine certain terms in order to simplify them using trigonometry identities.

$cos^{2}A+sin^{2}A+cos^{2}B+sin^{2}B+2cosAcosB+2sinAsinB$

Note these identities:
Pythagoran relation: $cos^{2}A+sin^{2}A = cos^{2}B+sin^{2}B=1$
Sum and Difference Formula/Identities: $cos(A-B) = cosAcosB+sinAsinB$

Thus, if we apply these identities, the simplified equation would be:
$2(cos(A-B))+2$

Simplying further, the answer would be

$2[cos(A-B)+1]$

6 0

3 years ago