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2 years ago

Question 6

Mathematics

1 answer:

kumpel [21]2 years ago

6 0

Answer:

10 lbs.

Step-by-step explanation:

If its 2.5 pounds of flour for every .25 cup of sugar

1/(1/4)

to get 4 and then do

4 * 2.5

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The rectangular coordinates of a point are given. Find the polar coordinates (r,theta) of this point with theta expressed in r

alexandr402 [8]

Answer:}

In polar coordinates P is

P ( 12 ; 2.618 )

Step-by-step explanation:

The point (ectangular coordinates)

P ( -6√3 ; 6 ) P ( x ; y )

Polar coordinates P ( r ; θ )

x = r cos θ

y = r sin θ r > 0 and 0 ≤ θ ≤ 2π

Then

r = √ (x)² + (y)² r = √(36)²*3 +( 36)² r = √144

r = 12 (hypothenuse module always positive)

The point P ( -6√3 ; 6 ) is in second cuadrant between 90° and 180°

angle between r and horizontal axis x is equal to θ

tan α = l.opp/ l.adj. tan θ = y/x tan θ = - 6 /6√3

tan α = - 1/√3

Then α = 180⁰ - 150⁰ = 30⁰ or θ = 150⁰

to express that value in radians we have :

1 π radian = 180⁰ ⇒ 3,1416 radians = 180⁰

x ?? = 150⁰

x = radians

Finally the point is P ( 12 ; 2.618 )

6 0

3 years ago

Ben drives 1/4 mile in 2/3 hours. what is the rate at which he drives

EastWind [94]

Answer:

3/8 or 0.375mph.

Step-by-step explanation:

All you have to do for this is divide one fourth by two thirds. This way, you get the units to work out as well.

$\frac{1}{4}/\frac{2}{3}=\frac{1}{4}*\frac{3}{2}=\frac{3}8=0.375mph$

8 0

2 years ago

Solve the inequality <br><br><br> what is the solution?

bija089 [108]

Answer:

The solution to the inequality is:

$2\ge \frac{g}{-4}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:g\ge \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:[-8,\:\infty \:)\end{bmatrix}$

Please also check the graph of the solution to the inequality.

Step-by-step explanation:

Given the inequality

$2\ge \frac{g}{-4}$

switch sides

$\frac{g}{-4}\le \:2$

Multiply both sides by -1 (reverse the inequality)

$\frac{g\left(-1\right)}{-4}\ge \:2\left(-1\right)$

Simplify

$\frac{g}{4}\ge \:-2$

Multiply both sides by 4

$\frac{4g}{4}\ge \:4\left(-2\right)$

Simplify

$g\ge \:-8$

Therefore, the solution to the inequality is:

$2\ge \frac{g}{-4}\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:g\ge \:-8\:\\ \:\mathrm{Interval\:Notation:}&\:[-8,\:\infty \:)\end{bmatrix}$

Please also check the graph of the solution to the inequality.

3 0

3 years ago

Admission to the fair is $15 each ride cost $3 micah spent a total of $36 he spent all of his money on rides and admission

WINSTONCH [101]

Answer:

Step-by-step explanation:

Admission cost = $15

Cost per ride = $3

Total amount spent = $36

We can obtain the number of rides thus :

Let number of rides = x

Admission cost + (cost per ride * number of rides) = total amount spent

15 + 3x = 36

3x = 36 - 15

3x = 21

x = 21 / 3

x = 7

Number of rides = 7

8 0

3 years ago

What is the proper solution to the following equation? (151.1 + 2.45 + 3.675) ÷ (0.660 + 0.3470) = 1. 1.561321 × 102 2. 1.56 × 1

olya-2409 [2.1K]

Answer:

The correct options are,

1.561321 × 10²,

1.56 × 10²,

1.56132 × 10²,

1.5613 × 10²,

1.561 × 10²

Step-by-step explanation:

Given expression,

(151.1 + 2.45 + 3.675) ÷ (0.660 + 0.3470),

= 157.225 ÷ 1.007

= 156.132075472

= 1.56132075472 × 10²

By rounding it to the nearest 6 decimal places

We get,

157.225 ÷ 1.007 ≈ 1.561321 × 10²,

Similarly, by rounding to 5, 4, 3, 2 and 1 decimal places,

Solutions are,

1.56132 × 10², 1.5613 × 10², 1.561 × 10², 1.56 × 10² and 1.6 × 10² respectively.

Hence, OPTIONS 1, 2, 3, 5 and 7 are correct.

4 0

3 years ago

Read 2 more answers