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3 years ago

5

A road crew took 3 days to pave a road. On the first day they paved 2/5 of the road, and on the second day they 1/3 of the road.

On the last day, they paved 1500 yards. How many yards long is the road?

1 answer:

bazaltina [42]3 years ago

3 0

Answer:5625 yards

Step-by-step explanation:

2/5=6/15

1/3=5/15

6/15+5/15=11/15

(15/15)-(11/15)=4/15

1500/4=375

375×15=5625

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The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle

Mama L [17]

Answer:

The circumference of the circle is $C=45.346 \:units$ .

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by $A_{circle}=\pi r^2$

The formula used to calculate the area of a sector of a circle is:

$A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2$

The circumference of a circle is the distance around the outside of the circle and its given by

$C=2\pi r$

We know the central angle $\theta$ = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

$50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}$

The radius can't be negative. Therefore,

$r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units$

Next, we apply the formula for the circumference of a circle.

$C=2\pi (7.217)=45.346 \:units$

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Can you find a seven digit number which describes itself.

Artemon [7]

A seven digit number that describes itself is the number 3211000.
The number has 3 zeros and the number has 2 ones.

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3 years ago

Company XYZ has 34 employees in the Finance Department, 45 technicians, and 32 in the Engineering Department. The HR Department

Crank

Answer:

66.7%

Step-by-step explanation:

The total number of complaints were:

5 + 3 + 7 = 15

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2 years ago

What's the value of 1/4 - 7/6

Anton [14]

The answer is -11/12

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3 years ago

PLEASE HELP ME IMMEDIATELY

valkas [14]

Answer:

Angle 1 = Angle 2 = 5y -23 (Vertically opposite)

We can see that we have a triangle in the figure

Since the sum of all angles of a triangle is 180,

<em>(2x + 13) + (47) + (5y -23) = 180</em>

<em>2x + 5y + 37 = 180</em>

<em>2x + 5y = 143</em>

5y = 143 -2x -----------------(1)

Assuming l and m to be parallel

<em>angle 1 = 3x (corresponding angles)</em>

<em>5y - 23 = 3x </em>

<em>From equation (1)</em>

<em>143 -2x - 23 = 3x </em>

<em>120 = 5x </em>

x = 24 ---------------------- (2)

Using (2) in (1)

<em>5y = 143 - 2(24)</em>

<em>5y = 143 - 48</em>

<em>5y = 95</em>

y = 19

Therefore,

x = 24

y = 19

Kindly mark Brainliest

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3 years ago