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3 years ago

Express the ratio 45 seconds to 30 minutes as a fraction in simplest form.

Mathematics

2 answers:

Citrus2011 [14]3 years ago

5 0

Answer: The required ratio in simplest form is 1 : 40.

Step-by-step explanation: We are given to express the ratio 45 seconds to 30 minutes as a fraction in simplest form.

We know that

1 minute = 60 seconds.

So, 30 minutes = (30 × 60) = 1800 seconds.

Therefore, the ratio is given by

$45~\textup{seconds}:30~\textup{minutes}\\\\=\dfrac{45~\textup{seconds}}{30~\textup{minutes}}\\\\\\=\dfrac{45~\textup{seconds}}{1800~\textup{seconds}}\\\\\\=\dfrac{1}{40}\\\\=1:40.$

Thus, the required ratio in simplest form is 1 : 40.

vovikov84 [41]3 years ago

4 0

$1min=60s\to30min=30\cdot60s=1800s\\\\45s:30min=45s:1800s=45:1800=\dfrac{45}{1800}=\dfrac{45:45}{1800:45}=\dfrac{1}{40}$

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Find an equation of the plane orthogonal to the line

jolli1 [7]

The given line is orthogonal to the plane you want to find, so the tangent vector of this line can be used as the normal vector for the plane.

The tangent vector for the line is

d/dt (⟨0, 9, 6⟩ + ⟨7, -7, -6⟩t ) = ⟨7, -7, -6⟩

Then the plane that passes through the origin with this as its normal vector has equation

⟨x, y, z⟩ • ⟨7, -7, -6⟩ = 0

We want the plane to pass through the point (9, 6, 0), so we just translate every vector pointing to the plane itself by adding ⟨9, 6, 0⟩,

(⟨x, y, z⟩ - ⟨9, 6, 0⟩) • ⟨7, -7, -6⟩ = 0

Simplifying this expression and writing it standard form gives

⟨x - 9, y - 6, z⟩ • ⟨7, -7, -6⟩ = 0

7 (x - 9) - 7 (y - 6) - 6z = 0

7x - 63 - 7y + 42 - 6z = 0

7x - 7y - 6z = 21

so that

a = 7, b = -7, c = -6, and d = 21

4 0

3 years ago

ILL GIVE BRAINLEST- select each classification that describes the triangle shown.

denis23 [38]

Answer:

Obtuse, isosceles

Step-by-step explanation:

Classify. Two same length sides make it isosceles

A larger angle than 90° make it obtuse

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2 years ago

Complete the table of values for y=2xsquared+x

hodyreva [135]

The solution of y= $2x^{2} +x$ given as:

x: 0 1 2 3

y: 0 3 10 21

<h3>What is Linear Equation?</h3>

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given function is:

y= $2x^{2} +x$

For finding the solution of above expression, take value of x and solve for y.

If x=0

y= 2(0)+0

y=0

If x=1,

y= $2(1)^{2} +1= 3$

If x=2

y= $2(2)^{2} +2=10$

If x=3

y= $2(3)^{2} +3=21$

The required table is:

x: 0 1 2 3

y: 0 3 10 21

Learn more about linear equation here:

brainly.com/question/488051

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2 years ago

Don’t need an explanation just the answer. Community takes too long lol

Nimfa-mama [501]

SOLUTION

Step 1: Find the area of the wall.

$\begin{gathered} A=l\times b \\ A=42\times25.5 \\ A=1071ft^2 \end{gathered}$

Step 2: Find the cost of wallpaper per square foot

$=\frac{total\text{ cost of wallpaper}}{Area\text{ of the wall}}$ $\begin{gathered} =\frac{771.12}{1071} \\ =0.72\text{ dollars} \end{gathered}$

The correct answer is B: $0.72

3 0

11 months ago

Y + 6 whole 1 upon 2 equal 9 solve the equstion

Korolek [52]

Answer:

$y = 2 \frac{1}{2}$

Step-by-step explanation:

$y + 6 \frac{1}{2} = 9 \\ \\ y + \frac{6 \times 2 + 1}{2} = 9 \\ \\ y + \frac{12 + 1}{2} = 9 \\ \\ y + \frac{13}{2} = 9 \\ \\ y = 9 - \frac{13}{2} \\ \\ y = \frac{9 \times 2 - 13}{2} \\ \\ y = \frac{18 - 13}{2} \\ \\ y = \frac{5}{2} \\ \\ y = 2 \frac{1}{2}$

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2 years ago