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erma4kov [3.2K]
3 years ago
5

1. Anil runs around a square park of side 90 m. Rohan runs around a rectangular

Mathematics
1 answer:
Oksanka [162]3 years ago
3 0

Answer:

Anil runs more by 180m.

Step-by-step explanation:

Given that:

Length of side of square park = 90 m

We will find the perimeter.

Perimeter = 4s

Perimeter = 4(90) = 360 m

Measurements of rectangular parks = length 50 m and width 40 m

Perimeter = 2(Length + Width)

Perimeter = 2(50+40) = 2(90) = 180 m

360 m > 180m

Difference = 360 - 180 = 180 m

Hence,

Anil runs more by 180m.

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Find the circumference of each circle using the given radius or diameter. Round to the nearest hundredth when necessary.
Bezzdna [24]
43.98 yds
6.28 in
69.16 ft
7 0
3 years ago
Which ordered pair represents the y-intercept of the graph of the equation y = –4x – 7?
Dovator [93]
If <span>y = –4x – 7, the x-intercept is found by setting y=0 and solving for x:

</span><span>0 = –4x – 7  =>  4x = -7, or   x = -7/4       The x-intercept is (-7/4, 0).

</span><span>The y-intercept is found by setting x = 0 and reading off the value of y:

y = –4x – 7  =>  y = 0 - 7, or y = -7.  The y-intercept is (0, -7).</span>
7 0
3 years ago
3. What is the radius of a circle whose area is 64π cm squared?
nataly862011 [7]

Answer:

Area = 64π

Area \: = \pi {r}^{2}Area=πr

2

64 \: \pi \: = \pi {r}^{2}64π=πr

2

{r}^{2} = \dfrac{64\pi}{\pi}r

2

=

π

64π

{r}^{2} = 64r

2

=64

r \: = \: \sqrt{64} = 8r=

64

=8

Radius = 8 units

Finding the Diameter -

Diameter = Radius x 2 = 8 x 2 = 16 .

\bold{Diameter \: is \: 16 \: units}Diameteris16units

8 0
2 years ago
PLEASE HELP MEEEEE!!!!!!!
OverLord2011 [107]

Answer:

  1. Cheese: 4\frac{3}{8}  
  2. Milk: 1\frac{2}{3}  
  3. Pasta: 6\frac{1}{4}

Step-by-step explanation:

Cheese:

  1. 1\frac{3}{4} = \frac{7}{4}  
  2. Set up a proportion: \frac{\frac{7}{4} }{4} = \frac{x}{10}  
  3. Cross multiply, then divide: 10 × 7/4 = 17.5, 17.5 ÷ 4 = 4.375
  4. 4.375 = 4\frac{3}{8}  

Milk:

  1. Set up a proportion: \frac{\frac{2}{3} }{4} = \frac{x}{10}  
  2. Cross multiply, then divide: 10 × 2/3 = 6\frac{2}{3}, 6\frac{2}{3} ÷ 4 = 1\frac{2}{3}  

Pasta:

  1. 2\frac{1}{2} = \frac{5}{2}  
  2. Set up a proportion: \frac{\frac{5}{2} }{4} = \frac{x}{10}  
  3. Cross multiply, then divide: 10 × 5/2 = 25, 25 ÷ 4 = 6.25
  4. 6.25 = 6\frac{1}{4}  

I hope this helps!

4 0
3 years ago
The ABC Company has a net income of $56,000, assets at the beginning of the year are $263,000 and assets at the end of the year
aleksandr82 [10.1K]

Answer:

19.4 %

Step-by-step explanation:

The formula for<em> return on assets</em> (ROA) is

ROA = Net income /Total assets × 100 %

Since assets vary, we use the <em>average</em> of the total assets over the period.

<em>Calculate the average total assets</em>

At beginning of year, total assets = $263 000

At end of year, total assets            = $313 000

Average = (313 000 + 263 000)/2

Average = 576 000/2

Average = $288 000

===============

<em>Calculate the ROA</em>

Net income = $56 000

ROA = 56 000/288 000 × 100 %

ROA = 0.194 × 100 %

ROA = 19.4 %

The company’s return on assets is 19.4 %.

4 0
3 years ago
Read 2 more answers
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