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3 years ago

Mary has two job offers.

Mathematics

1 answer:

galina1969 [7]3 years ago

7 0

Answer:

8h+100

8.50h+80

Step-by-step explanation:

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A castle is surrounded by a circular moat which is 5 m wide

Elanso [62]

Answer:

1414 kL

Step-by-step explanation:

The volume of the donut-shaped moat is the product of its surface area and depth. The area is the product of its centerline length and its width.

The diameter of the centerline of the moat is (50 m -5 m) = 45 m. The length of that centerline is ...

C = πd = π(45 m) = 45π m

The area is this length times the width of the moat:

moat area = (45π m)(5 m) = 225π m²

<h3>Moat volume</h3>

The volume is the product of the area and the depth of the moat:

V = Ah = (225π m²)(2 m) = 450π m³ ≈ 1413.72 m³

1 cubic meter is 1000 liters, 1 kiloliter.

The volume of the moat is about 1414 kL.

5 0

2 years ago

A bank account has a beginning balance of $560.00. After 6 months, the balance in the account has increased to $572.60. What int

Licemer1 [7]

Interest = $572.60 - $560.00 = $12.60

$560 x 6i/12 = $12.60

i = ($12.60 x 12) / ($560 x 6) = 0.045%

7 0

3 years ago

Physics! Someone help me! Its due today please!

icang [17]

Step-by-step explanation:

We have,

Mass of ball is 9 kg

Initial speed, u = 5 m/s

Final speed, v = -2 m/s (negative as it bounces off)

(a) The change in velocity of the bowling ball is :

$\Delta v=v-u\\\\\Delta v=-2-5\\\\\Delta v=-7\ m/s$

(b) Change of momentum of the ball is :

$p=m\Delta v\\\\p=90\times (-7)\\\\p=-630\ kg-m/s$

|p| = 630 kg-m/s

(c) Impulse momentum theorem states that the change in momentum of the ball is equal to the impulse exerted on the ball. So, impulse is 630 kg-m/s.

(d) Impulse is also given by :

$J=F\times t\\\\F=\dfrac{J}{t}\\\\F=\dfrac{630}{0.3}\\\\F=2100\ N$

6 0

3 years ago

Find the length of the height of the right trapezoid shown below, if it has the greatest possible area and its perimeter is equa

Artyom0805 [142]

Answer:

The height of the right trapezoid is $\frac{6}{5+\sqrt{3}}\ units$

Step-by-step explanation:

Let

x ----> the height of the right trapezoid in units

we know that

The perimeter of the figure is equal to

$P=AB+BC+CD+DH+HA$

we have

$P=6\ units$

$AB=BC=CH=HA=x$ ---> because is a square

substitute

$6=x+x+CD+DH+x$

$6=3x+CD+DH$ -----> equation A

<em>In the right triangle CDH</em>

$sin(30\°)=\frac{CH}{CD}$

$sin(30\°)=\frac{1}{2}$

Remember that $CH=x$

$\frac{1}{2}=\frac{x}{CD}$

$CD=2x$

$tan(30\°)=\frac{CH}{DH}$

$tan(30\°)=\frac{\sqrt{3}}{3}$

$\frac{\sqrt{3}}{3}=\frac{x}{DH}$

$DH=x\sqrt{3}$

substitute the values in the equation A

$6=3x+CD+DH$ -----> equation A

$CD=2x$

$DH=x\sqrt{3}$

$6=3x+2x+x\sqrt{3}$

$6=5x+x\sqrt{3}$

$6=x[5+\sqrt{3}]$

$x=\frac{6}{5+\sqrt{3}}\ units$

5 0

3 years ago

What's the value of y

Keith_Richards [23]

Angle y is the same as 85 degrees

4 0

3 years ago