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2 years ago

The ratio of hydrogen to oxygen in a plant sample is 18:12. The sample has 42 units of oxygen.

Mathematics

1 answer:

larisa86 [58]2 years ago

3 0

Answer:63

Step-by-step explanation: H:0=18:12=1.5:1

1.5:1=63:42

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This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

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3 years ago

2p-1<br>make p the subject

jok3333 [9.3K]

Answer:

2p-1/p

Step-by-step explanation:

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3 years ago

Read 2 more answers

Enter an inequality that represents the phrase "the sum of 7 and y is less than 9."

Eddi Din [679]

Answer:

Inequality Form:

y<2

Interval Notation:

(−∞,2)

The answer your looking for is: y<2

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3 years ago

A family is purchasing a house and needs to finance a 195,000 mortgage from the bank with an annual percentage rate (APR) of 5.3

maksim [4K]

Calculate the monthly payment:

195,000 x ( (0.05/12)x1+0.053)^12)/(1+0.053)^12-1)

Monthly payment = 1,082.84

Multiply monthly payment by 12 to get one year: 1082.84x 12 = 12994.08

Now multiply by 30 years:

12994.08 x 30 = 389822.40

The answer is $389,822

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3 years ago

Which expression is equal to 6(-3m)4?

hichkok12 [17]

Answer: -72m

Step-by-step explanation:

Simplify

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3 years ago