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2 years ago

URGENT HELP ASAP, PLEASE HELP WITH MY GRADE 11 MATH!

Mathematics

1 answer:

cluponka [151]2 years ago

4 0

Half-Life Formula:

Amount remaining = (Initial amount)[ (1/2)^(time / half-life) ]

Amount remaining = ?

Initial amount = 200 mg

Time = 2 hours = 120 minutes

Half-Life = 20 mins

---Notice that I changed the time from hours to minutes. The time and half-life time need to be in the same unit.

A = (200)[ (1/2)^(120/20) ]

A = (200)(1/2 ^6)

A = (200)(1/64)

A = 3.125

Answer: 3.125 mg remain

Hope this helps!

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Parallel lines cut by transversal. How to find angle measure.

allochka39001 [22]

#1 30
#2 150
#3 110
#4 60

#5 2x+50+3x=180
combine like terms

5x+50=180
subtract 50 from both sides

5x=130
divide both sides by 5 to isolate the variable

x=26

#5 3x=3(26)=78
#6 2x+50=2(26)+50=102

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4 years ago

Solve for the missing sides 30-60-90 triangle show work please and thank you

Alex_Xolod [135]

Answer:

$x=8\sqrt{3}$

$y=16$

$x=3$

$y=3\sqrt{3}$

Step-by-step explanation:

The sides of a (30 - 60 - 90) triangle follow the following proportion,

$a-a\sqrt{3}-2a$

Where (a) is the side opposite the (30) degree angle, ( $a\sqrt{3}$ ) is the side opposite the (60) degree angle, and (2a) is the side opposite the (90) degree angle. Apply this property for the sides to solve the two given problems,

It is given that the side opposite the (30) degree angle has a measure of (8) units. One is asked to find the measure of the other two sides.

The measure of the side opposite the (60) degree side is equal to the measure of the side opposite the (30) degree angle times ( $\sqrt{3}$ ). Thus the following statement can be made,

$x=8\sqrt{3}$

The measure of the side opposite the (90) degree angle is equal to twice the measure of the side opposite the (30) degree angle. Therefore, one can say the following,

$y=16$

In this situation, the side opposite the (90) degree angle has a measure of (6) units. The problem asks one to find the measure of the other two sides,

The measure of the side opposite the (60) degree angle in a (30-60-90) triangle is half the hypotenuse times the square root of (3). Therefore one can state the following,

$y=3\sqrt{3}$

The measure of the side opposite the (30) degree angle is half the hypotenuse (the side opposite the (90) degree angle). Hence, the following conclusion can be made,

$x=3$

6 0

3 years ago

The probability of a student getting an A in mathematics

marysya [2.9K]

Answer:

00.29

Step-by-step explanation:

5 0

3 years ago

(Q7) Determine the graph of the polar equation r = 12/6+4 cos theta.

masya89 [10]

ANSWER

b.

EXPLANATION

The given polar equation is,

$r = \frac{12}{6 + 4 \cos( \theta) }$

Cross multiply to get,

$r(6 + 4 \cos( \theta) ) = 12$

$6r + 4r\cos( \theta) ) = 12$

Substitute,

$r\cos( \theta) = x$

and

$r = \sqrt{ {x}^{2} + {y}^{2} }$

$6 \sqrt{ {x}^{2} + {y}^{2} } + 4x = 12$

$3\sqrt{ {x}^{2} + {y}^{2} } + 2x = 6$

$3\sqrt{ {x}^{2} + {y}^{2} } = 4 - 2x$

$9({x}^{2} + {y}^{2}) =( 4 - 2x ) ^{2}$

$9{x}^{2} + 9 {y}^{2} =16 - 16x + 4x ^{2}$

$5{x}^{2} + 9 {y}^{2} + 16x = 16$

This is an ellipse whose center is shifted to the left with orientation on the x-axis

The correct choice is B.

8 0

4 years ago

The table below compares the cost of living in New York and Los Angles, with the number representing percentages of national ave

frosja888 [35]

Answer:

The correct option for the answer is C.) $3.29 / $2.96

Step-by-step explanation:

i) national average for a gallon of gas = $2.74

ii) for transportation New York is 1.2 times the National average

therefore one gallon of gas in New York will cost = 1.2 $2.74 = $3.29

iii)for transportation Los Angeles is 1.08 times the National average

therefore one gallon of gas in New York will cost = 1.08 $2.74 = $2.96

Therefore you should expect to pay for gas in New York versus Los Angeles C.) $3.29 / $2.96

4 0

3 years ago