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3 years ago

The second floor of a building is 20 m above the ground.

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

5 0

45°?

Step-by-step explanation:

The second floor of a building is 20 m above the ground.

From this floor, the angle of

elevation of the top of an eucalyptus tree is 15°

and the angle of depression of the foot of the same tree is 10°

10+15+20=45

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Set P U (R U O)

S_A_V [24]

Answer:

Step-by-step explanation:

P= {1,3,5,7,9,11,13,21}

R ={2,4,6,8,10,12}

O={3,6,9,12,15,18}

The union of two sets contain all the elements in either set.

R ∪ O = {2,4,6,8,10,12,3,9,15,18 } [6 & 12 are in both R and O. we have to write only one time]

P U (R ∪ O) = {1,3,5,7,9,11,13,21,2,4,6,8,10,12,15,18}

8 0

2 years ago

Machine A pops 12.75 ounces of popcorn in 3 minutes. Machine B pops 18 ounces of popcorn in 4 minutes. If each machine pops popc

Harrizon [31]

Answer: Yes, there are enough popcorn for eight 9- ounce bags.

Step-by-step explanation:

Since we have given that

From Machine A,

Amount of popcorn in 3 minutes = 12.75

Amount of popcorn in 1 minute is given by

$\frac{12.75}{3}=4.25\text{ ounces}$

Amount of popcorn in 10 minutes is given by

$4.25\times 10=42.5\text{ ounces }$

From Machine B,

Amount of popcorn in 4 minutes = 18 ounces

Amount of popcorn in 1 minute is given by

$\frac{18}{4}=4.5\text{ ounces}$

Amount of popcorn in 10 minutes is given by

$4.5\times 10=45\text{ ounces }$

Total amount of popcorn is given by

$42.5+45=87.5\text{ ounces}$

Now, there are eight 9-ounce bags means 72 ounces

Since 87.5 ounces is greater than 72 ounces .

So, there are enough for eight 9-ounce bags.

8 0

3 years ago

Read 2 more answers

A line passes through the point (4, -3) and has a slope of -3. Write an equation in slope-intercept form for this line.

Alex73 [517]

y=-3x+9

explanation

m=-3 (X1,Y1) = (4,-3)

(y-y1)= m×(x-x1)

(y-(-3))=-3(x-4)

y+3= -3x+12

y=-3x+12-3

y=-3x+9

6 0

2 years ago

There is still controversy about whether or not Pluto should be considered a planet. Although planets are mainly defined by thei

andrezito [222]

9514 1404 393

Answer:

a) Pluto, Mercury, Mars, Venus, Earth, Neptune, Uranus, Saturn, Jupiter

b) 62

Step-by-step explanation:

When all the numbers are in scientific notation, as these are, the numbers with the smallest exponent are smaller. If numbers have the same exponent, the number with the smaller mantissa is smaller.

a) least-to-greatest diameter, the order is ...

Pluto, Mercury, Mars, Venus, Earth, Neptune, Uranus, Saturn, Jupiter

b) The ratio of diameters of Jupiter and Pluto is ...

(1.43×10^8)/(2.3×10^6) = 6.2×10^1 = 62

Jupiter's diameter is about 62 times that of Pluto.

_____

<em>Additional comment</em>

Your calculator or spreadsheet can work directly with numbers in scientific notation.

6 0

2 years ago

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?

PSYCHO15rus [73]

For a system of equations to have infinitely many solutions it must describe identical lines.
If you multiply the first equation by 2, then move the x term to the left side, you would get 2y-4x=-10
Final Answer:
-10
Hope I helped :)

4 0

2 years ago

Read 2 more answers