All categories

2 years ago

Match column a to column b

Mathematics

1 answer:

solmaris [256]2 years ago

3 0

Answer:

Straight 180

Reflex 210

Right 90

Acute 75

Obtuse 135

Step-by-step explanation:

You might be interested in

Find the indicated value. Use either half angle formulas or sum and difference formulas.

MrMuchimi

By the angle difference formula for sines, we have:

$\sin 15^\circ = \sin 45^\circ \cos 30^\circ - \sin 30^\circ \cos 45^\circ = \frac{sqrt{6}}{4} - \frac{sqrt{2}}{4} = \frac{\sqrt{6} - \sqrt{2}}{4}.$

By the angle sum formula for tangents, we have:

$\tan 75^\circ = \frac{\tan 45^\circ + \tan 30^\circ}{1 - \tan 45^\circ \tan 30^\circ} = \frac{1+\frac{\sqrt{3}}{3}}{1 - \frac{\sqrt{3}}{3}} = \frac{3 + \sqrt{3}}{3 - \sqrt{3}}$ .

Rationalizing the denominator gives $\frac{12+6\sqrt{3}}{6} = 2+\sqrt{3}$ as the final answer.

8 0

3 years ago

Sasha put in 55 hours at the flower shop. The first 40 hours were paid at $7.20. The remainder was paid at time and half. What w

torisob [31]

$313.80

for forty hours she got paid $288

and for the final 15, she got $28.80

4 0

3 years ago

Compute 41, 42, 43, 44, 45, 46, 47, and 48. Make a conjecture about the units digit of 4n where n is a positive integer. Use str

padilas [110]

Answer:

The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even

Step-by-step explanation:

$4^1 = 4\\4^2 = 16\\4^3 = 64\\4^4 = 256 \\4^5 = 1024\\4^6 = 4096\\4^7 = 16384\\4^8 = 65536$

The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even

To prove this conjecture

$4^1 = 4\\4^2 = 16$ unit digit = 6

hence the property is true for ; n = 1 and n = 2 and also for every odd and even number ( i.e. from 1 to 8 )

8 0

3 years ago

The function {(1, 4), (2, 5), (3, 6)} has the function rule y = 3x + 1.

inna [77]

False.
y= 3(1)+1= 4
y= 3(2)+1=7 not 5
y= 3(3)+1=10 not 6

4 0

3 years ago

Read 2 more answers

The color distribution of Skittles is the following: 10% blue, orange, and green each, 23.3333% yellow, red, and purple each. In

irina1246 [14]

Answer:

Step-by-step explanation:

Given that:

Percentage of blue, orange and green = 10%

Percentage of yellow, red and purple = 23.3333%

Number of skittles in bag by color :

Red = 137

Orange = 39

Yellow = 130

Green = 39

Blue = 43

Purple = 112

According to the color distribution :

Number of blue, orange and green should be the same and also number of yellow, red and purple skittles must be the same.

Total number of skittles :

(137 + 39 + 130 + 39 + 43 + 112) = 500

10% of the total = 0.1 * 500 = 50

Hence,

We should have 50 blue, orange and green skittles

23.33333% of total = 116.666 (about 117 skittles of yellow, red and purple color)

3 0

2 years ago

Match column a to column b​

Match column a to column b