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2 years ago

Is square root 1-cos^2theta=-sintheta true? if so, in which quadrants does angle theta terminate?

Mathematics

1 answer:

oksano4ka [1.4K]2 years ago

4 0

Yes it is true:

(1 - cos^2 x) = sin^2 x Sqr.(1 - cos^2 x) = sin x and (-sinx) True, since sin x negative. Also, x terminates in quadrant 3 and 4. Hope this is helpful

You might be interested in

Instructions: Find the measure of the indicated angle to the nearest degree.

umka2103 [35]

Tan(x) = opp./adj.
Tan(x)=13/20
Tan^-1(13/20)=X
X=33.02 degrees = 33 degrees

6 0

1 year ago

The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B0(10)2t. There are 25 bacteria prese

nordsb [41]

Answer: 1.67 hours.

Explanation:

1) Function that models the number of bacteria:

$B(t)=B_0(10)^{2t}$

2) Bo = 25, then the function is:

$B_0=25(10)^{2t}$

3) To know how many hours will elpase until the number of bactaria is 55,00, you equals B to 55,500 in the equation and solve for t, in this way:

i) start

$55000=25(10)^{2t)$

ii) division property

$2200=10^{2t}$

iii) antilogarithm property

$2t = log_{10}2200$

iv) division property

$t=\frac{log_{10}2200}{2}$

v) Due the operations:

t = 1.67 hours.

Note that the time is less than 2 hours. That sounds fine since after 1 hour there will be 10 times 25 (250 bacteria), and after 2 hours 100 times 25 (2500 bacteria).

3 0

2 years ago

Describe in words the rule to calculate the area of a rhombus based on its<br> diagonals.

coldgirl [10]

Answer:

area of rhombus = 1/2 $d^{1} d^{2}$

half * diagonal 1 * diagonal 2 is the area of rhombus.

hope this answer helps you...

please mark as brianliest.. thank you!

6 0

3 years ago

A dog pen in the shape of a rectangle is to be built using one wall of a house as a side. If 132 feet

diamong [38]

This is a very poorly written question. im assuming the house wall is at least 130 ft since there is no information given about it.

each set of side lengths has three elements, the long side and the two short sides. we're asked to list all whole number possibilities so start anywhere, the two short sides being 1ft
(1 1 130). the long side has to be the difference of 132 and the length of both short sides.

the area is one of the short sides times the ling side, in the first case 1*130=130 sqft

continuing the list

(2 2 128) area=256
(3 3 126) area=378
(4 4 124) area=496
(5 5 122) area=610

the short sides increase by 1, the long side decreases by 2, the area gets bigger, but the difference between the areas are 4 less each time. dividing the first difference, 122, by 4 will give us a number to make a better guess from.

122÷4=30.5

so lets try

(30 30 72) area=2160

lets try 31 and see if that gives a smaller area

(31 31 70) area = 2170

(32 32 68) area =2176

(33 33 66) area = 2178

(34 34 64) area = 2176

so the area is decreasing now which means the maximum area is found when thw long side is 66 feet and the short sides are 33 feet.

as far as listing all possibilities, you see the pattern i started, i leave the rest to you

6 0

3 years ago

Which rule would best describes this pattern 8,4,10,6,12,8,14

irinina [24]

Answer:

Subtract 4 and then add 6.

Step-by-step explanation:

8-4=4

4+6=10

10-4=6

6+6=12

12-4=8

8+6=14

The rule for this pattern can be subtracting 4, and then adding 6.

3 0

3 years ago