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3 years ago

11

Help please I NEED TO PASS :(((((

1 answer:

adoni [48]3 years ago

5 0

Answer:

The answer should be C

Step-by-step explanation:

I just got done calculating it and according to my calculations it should be C

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A plane, initially traveling 150 mi./hr. 100 east of north, suddenly enters a region where the wind is blowing at 50 mi./hr. fro

Leona [35]

Answer:

the Velocity of the plane is 100 mi/hr along the northeast direction

Step-by-step explanation:

According to the Question,

Given That, the Initial velocity of the plane is 150 mi/hr along the east north direction and the wind is blowing at 50 mi/hr along the southwest direction

since the velocity of wind and plane is exactly opposite

the relative velocity of the plane with respect to the wind is given by

$V_{r} = V_{p} -V_{w}$ , where $V_{p}$ is the velocity of plane = 150mi/hr and $V_{w}$ = velocity of wind = 50 mi/hr

Therefore, Relative Velocity = 150-50 ⇒ 100mi/hr along northeast direction

Thus, the velocity of the plane is 100 mi/hr along the northeast direction

5 0

3 years ago

The patio at the back of the house is to be extended into the backyard in a semi-circle. What will be the area of the yard

tresset_1 [31]

Answer:

A = 413 sq feet

Step-by-step explanation:

The area of the yard = area of rectangle - area of semicircle

The radius of the semicircle, r = 10 feet

The length of the rectangle = 38.5 - 10 = 28.5 feet

So,

The area of the yard = lb - (πr²/2)

$=20\times 28.5-(\dfrac{3.14\times 10^2}{2})\\\\A=413\ ft^2$

So, the required area is equal to 413 sq feet.

5 0

2 years ago

Jo jo has a total amount of $12.45 in quarters and dimes in his pocket. he has a total of 60 coins. how many quarters and dimes

baherus [9]

Given:

Total number of coins (Quarters and dimes) = 60

Total amount = $12.45

To find:

The number of quarters and dimes.

Solution:

Let x be the number of quarters and y be the number of dimes.

We know that,

1 quarter = 0.25 dollar

1 dime = 0.10 dollar

Total coins: $x+y=60$ ...(i)

Total amount: $0.25x+0.10y=12.45$ ...(ii)

From (i), we get

$y=60-x$ ...(iii)

Putting this value in (ii), we get

$0.25x+0.10(60-x)=12.45$

$0.25x+6-0.10x=12.45$

$0.25x-0.10x=12.45-6$

$0.15x=6.45$

Divide both sides by 0.15.

$x=\dfrac{6.45}{0.15}$

$x=43$

Putting x=43 in (iii), we get

$y=60-43$

$y=17$

So, the number of quarters is 43 and the number of dimes is 17.

Therefore, the correct option is b.

8 0

2 years ago

Help based offf order of operations please help

JulijaS [17]

Answer:

The answer for :

$h. \: \: \: \frac{5}{6}$

$i. \: \: \: \frac{35}{32}$

$k. \: \: \: \frac{-29}{20}$

$l. \: \: \: \frac{13}{15}$

Step-by-step explanation:

Question h:

$\frac{2}{3} + ( \frac{1}{3} \times \frac{1}{2} )$

$= \frac{2}{3} + \frac{1}{6}$

$= \frac{2 \times 2}{3 \times 2} + \frac{1}{6}$

$= \frac{4}{6} + \frac{1}{6}$

$= \frac{5}{6}$

Question i:

$\frac{7}{8} + \frac{1}{4} \times ( \frac{3}{2} - \frac{5}{8} )$

$= \frac{7}{8} + \frac{1}{4} \times ( \frac{3 \times 4}{2 \times 4} - \frac{5}{8} )$

$= \frac{7}{8} + \frac{1}{4} \times ( \frac{12}{8} - \frac{5}{8} )$

$= \frac{7}{8} + (\frac{1}{4} \times \frac{7}{8} )$

$= \frac{7}{8} + \frac{7}{32}$

$= \frac{7 \times 4}{8 \times 4} + \frac{7}{32}$

$= \frac{28}{32} + \frac{7}{32}$

$= \frac{35}{32}$

Question k:

$\frac{3}{4} - ( \frac{12}{7} \div \frac{12}{21} ) + \frac{4}{5}$

$= \frac{3}{4} - ( \frac{12}{7} \times \frac{21}{12} ) + \frac{4}{5}$

$= \frac{3}{4} - \frac{3}{1} + \frac{4}{5}$

$= \frac{3 \times 5}{4 \times 5} - \frac{3 \times 20}{1 \times 20} + \frac{4 \times 4}{5 \times 4}$

$= \frac{15}{20} - \frac{60}{20} + \frac{16}{20}$

$= - \frac{29}{20}$

Question l:

$\frac{5}{2} \times ( \frac{2}{3} - \frac{1}{5} ) - ( \frac{2}{5} \div \frac{4}{3} )$

$= \frac{5}{2} \times ( \frac{2 \times 5}{3 \times 5} - \frac{1 \times 3}{5 \times 3} ) - ( \frac{2}{5} \times \frac{3}{4} )$

$= \frac{5}{2} \times ( \frac{10}{15} - \frac{3}{15} ) - \frac{3}{10}$

$= (\frac{5}{2} \times \frac{7}{15}) - \frac{3}{10}$

$= \frac{7}{6} - \frac{3}{10}$

$= \frac{7 \times 5}{6 \times 5} - \frac{3 \times 3}{10 \times 3}$

$= \frac{35}{30} - \frac{9}{30}$

$= \frac{26}{30}$

$= \frac{13}{15}$

8 0

3 years ago

Which of the following will result in a rational answer?

finlep [7]

Answer:

real numbers and integers equations

Step-by-step explanation:

7 0

3 years ago