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3 years ago

A sector of a circle has an arc measurement of 110°. The area

Mathematics

1 answer:

FromTheMoon [43]3 years ago

6 0

Answer:

22.08 cm

Step-by-step explanation:

Area = pi*r^2*(angle/360)

r=11.04, d=22.08

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John Gray bought a basic car for $32,750.00, with options that cost $375.00. There’s a 6% sales tax in his state and a combined

omeli [17]

He would pay a total of $35,162.50

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4 years ago

The temperature in Australia is 95 degrees and decreasing at a rate of 4 degrees per day. The temperature in the US is 40 degree

Mazyrski [523]

Answer:

For 6 days

Step-by-step explanation:

Here, we want to find the number of days at which Australia will have a bigger temperature or the same temperature as US

95 degrees, decreasing at 4 degrees per day

40 degrees, increasing at a rate of 5 degrees per day

let the number of days be x

In x days, temperature of Australia will be 95-4x

In x days, temperature of US will be 40 + 5x

For the temperature to be same;

40 + 5x = 95 - 4x

95-40 = 5x + 4x

9x = 55

x = 55/9

x = 6.111 which is approximately 6

For 6 days, the temperature in Australia will be warmer , on the 7th day, the US temperature becomes warmer

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3 years ago

In a specific video game scenario, you are given 1,000 gold. You can either train marines to defend your base at 50 gold a piece

Sloan [31]

Answer:

The system is:

$50m+200u\leq 1,000$

$u\leq 3$

$u\geq 0$

$m\geq 10$

Step-by-step explanation:

The variables of your equations are:

$m=\text{number of marines}$

$u=\text{number of upgrades}$

The constraints, which become inequalities are:

1. The total cost cannot be greater than 1,000 gold

Cost of training m number of marines at 50 gold a piece:

$50m$

Cost of purchasing u number of research weapon upgrades at 200 gold per upgrade:

$200u$

Total cost:

$50m+200u$

The cost is limited to 1,000 gold that you are given:

$50m+200u\leq 1,000$

That is the first inequality of your system

2. The game allows a maximum of three upgrades:

This sets an upper bound for the variable:

$u\leq 3$

Add the reasonable constraint that the number of upgrades cannot no be negative:

$u\geq 0$

3. You know that you need at least ten marines trained to survive

This sets a lower bound for the variable:

$m\geq 10$

And those are all the four inequalities that form your system to describe the number of marines and the number of upgrades you can train/purchae in the game:

$50m+200u\leq 1,000$

$u\leq 3$

$u\geq 0$

$m\geq 10$

3 0

3 years ago

Find the missing length for the following trapezoid

pshichka [43]

Answer:

15 is the answer I think.

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3 years ago

Plzzzzzzzzzzzzzzz idk how it’s easy for smart people I’ll give 5 or extra points

steposvetlana [31]

Answer:

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3 0

3 years ago