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3 years ago

Convert 16 feet into meters using the conversion factor 1 meter = 3 feet

Mathematics

2 answers:

RUDIKE [14]3 years ago

6 0

Answer:

5.33 repeating

Step-by-step explanation:

Divide 16 by 3 to convert to meters

kozerog [31]3 years ago

3 0

Answer:hi

Step-by-step explanation:

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If x is 12% of 180, then what is the value of 7x ?

GuDViN [60]

Answer:

7uby-step explanation:

8 0

2 years ago

What is the size of the sample space for flipping 7 coins? Write your answer as a single integer.

Elenna [48]

I think the answer is 6

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2 years ago

Read 2 more answers

Calculate the value of (6.72 10^5)+ (3.2 x 10^4) Give your answer in standard form.

dangina [55]

Answer:

$7.04\cdot 10^{5}$ or 704,000

Step-by-step explanation:

Standard Form of Numbers

Any number that we can write as a decimal number between 1.0 and 10.0, multiplied by a power of 10, is said to be in Scientific Notation. Some authors consider standard form and scientific form as the same, but others state that standard form is the common form of expressing numbers, i.e., a sequence of digits, separated by thousands by a comma, and separated from the decimal part by a dot.

We'll give here both answers.

We have to calculate:

$6.72\cdot 10^{5}+3.2\cdot 10^{4}$

Since the numbers don't have the same exponent, we must make them equal. Let's make the second number have an exponent of 5, by dividing by 10:

$6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+3.2/10\cdot 10^{5}$

$6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+0.32\cdot 10^{5}$

Now we add:

$6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04\cdot 10^{5}$

It's correctly expressed in scientific notation. Now to convert to 'standard form', multiply by $10^5=100,000$ :

$6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04*100,000=704,000$

7 0

3 years ago

PLZ HELP SCALE FACTOR TRIANGLE A. 10.5 cm B. 31.5 cm C. 63 cm D. 189 cm

Anarel [89]

If two similar triangles have sides in the ratio a : b, then their areas are in the ratio a² : b².

We have the ratio:

$54:18=\dfrac{54}{18}=3:1$

Area of the smaler triangle = x

Area of the larger triangle = 567 cm²

Therefore we have the equation:

$567:x=3^2:1^2\\\\\dfrac{567}{x}=\dfrac{9}{1}\qquad|\text{cross multiply}\\\\9x=567\qquad|\text{divide both sides by 9}\\\\x=63$

<h3>Answer: C. 63 cm²</h3>

3 0

2 years ago

A beacon is flashing on top of a 50 foot tower. A 6 foot tall man walks constantly away from the tower at 5 feet/sec. At the ins

Viefleur [7K]

Answer: $\frac{253}{44}$

Step-by-step explanation:

ignore the "at the instant the man is 30 feet away" part, set it as X and the man's shadow as Y.

Similar triangles so we can do $\frac{50}{x+y} = \frac{6}{y}$ .

Solve for it we get 44y = 6x

Differentiate relative to time t, we get 44y' = 6x'.

change in x (x') is equal to 5. And we get the answer y' = $\frac{33}{44}$ .

the $\frac{33}{44}$ ft/sec is the rate of which the length of the shadow is changing. add 5 to it for the rate of the tip of his shadow moving away from the tower.

7 0

2 years ago