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Vedmedyk [2.9K]

2 years ago

13

Find the area of a sector with a central angle of 125 degrees and a radius of 11cm. Express the approximate answer to the neares

t tenth. A.)316.8cm square B.)57.6cm square C.)117.8cm square D.)132.0 square

1 answer:

White raven [17]2 years ago

5 0

The answer is c I’m pretty aure

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motorcycle cover 210 kilometre distance with 5 l of petrol how many kilometre does it cover with 8 litre of petrol? how much pet

Likurg_2 [28]

Answer:

A: 336 km

B: 14 L

Step-by-step explanation:

Use a proportion

210 km / 5 L = x / 8L Cross multiply

8*210 = 5 x

1680 = 5x

x = 1680 / 5

x = 336 km

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

210 /5 = 588/x Cross multiply

210x = 588 * 5

210x = 2940 Divide by 210

x = 2940/210

x = 14 L

3 0

2 years ago

Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50. Jason went into the same movi

ruslelena [56]

The price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

<em><u>Solution:</u></em>

Let d" be the price of 1 drink

Let "p" be the price of 1 pretzel

Given that, Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50

<em><u>Therefore, we can frame a equation as,</u></em>

3 x price of 1 drink + 10 x price of 1 pretzel = 54.50

$3 \times d + 10 \times p = 54.50$

3d + 10p = 54.5 ---------- eqn 1

Jason went into the same movie theater and bought 9 drinks and 5 pretzels, costing a total of $57.25

9 x price of 1 drink + 5 x price of 1 pretzel = 57.25

$9 \times d + 5 \times p = 57.25$

9d + 5p = 57.25 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 3

9d + 30p = 163.5 ----- eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

9d + 30p = 163.5

9d + 5p = 57.25

( - ) -----------------------

25p = 106.25

p = 4.25

<em><u>Substitute p = 4.25 in eqn 1</u></em>

3d + 10(4.25) = 54.5

3d + 42.5 = 54.5

3d = 54.5 - 42.5

3d = 12

d = 4

Thus price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

4 0

2 years ago

Write the number in standard notation.

viva [34]

<span>1.14×10^3 = 1.14 x 1,000 = 1, 140

answer
</span><span>1,140</span>

7 0

2 years ago

The mayor of the city of San Diego wants to increase taxes to invest in a modern transit system. She hires a polling agency to s

sasho [114]

Answer:

Step-by-step explanation:

Part A: What is the population in this survey?

The population in this context is the total number of registered voters in the whole city of San Diego.

Part B: What is the population parameter

The population parameter in this survey is the maximum percentage increase in municipal taxes that they would approve.

Part C: What is the sample in this survey?

The sample in this survey is the randomly selected 650 registered voters in the city.

4 0

3 years ago

Please Help with angles!

777dan777 [17]

Step-by-step explanation:

003:

To solve this, we'll be using the Pythagorean theorem, $a^2+b^2=c^2$

$a^2+8^2=15^2\\a^2+64=225\\a^2=161\\a = \sqrt{161}$

004:

For the next couple questions we'll be using a fun rule called SOHCAHTOA, which stands for Sin (Opposite/Hypotenuse) Cos (Adjacent/Hypotenuse) Tan (Opposite/Adjacent). From this we can see that Tan θ is 8/ $\sqrt{161}$ .

005:

From this rule again, we can tell that sin Ф (Opposite/Hypotenuse) is going to be $\sqrt{161}$ /15.

Answer:

003: $\sqrt{161}$

004: 8/ $\sqrt{161}$

005: $\sqrt{161}$ /15

7 0

3 years ago