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3 years ago

8

A plan can travel 420 miles in 80 minutes. Find a unit that describes this situation

1 answer:

zhannawk [14.2K]3 years ago

3 0

Answer:

5.25 miles per minute

Step-by-step explanation:

420/80 = 5.25 so it is 5.25 miles per minute as it is 80 minutes

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Miyoko's goal is to earn more than \$950$950dollar sign, 950 this week. She earns \$250$250dollar sign, 250 for every day she wo

GrogVix [38]

$250 c+ $ 180 g > $ 950

<u>Step-by-step explanation:</u>

As a cryptographer (c), Miyoko earns per day = $ 250

As a geologist (g) , Miyoko earns per day = $ 180

So the equation comes to be $250 c+ $ 180 g = $ 950

The equation can be rewritten to find c as, (950-180 g) / 250

The equation can be rewritten to find g as, (950 - 250 c) / 180

Plugin different values of c and g in the above 2 equations, we can find that ,

To achieve the goal, Miyoko requires to be a geologist for 3 days and crpytographist for 2 days.

5 0

3 years ago

Arrange the entries of matrix A in increasing order of their cofactors values

givi [52]

To find the cofactor of

$A=\left[\begin{array}{ccc}7&5&3\\-7&4&-1\\-8&2&1\end{array}\right]$

We cross out the Row and columns of the respective entries and find the determinant of the remaining $2\times 2$ matrix with the alternating signs.

$Ac_{11}=\left|\begin{array}{ccc}4&-1\\2&1\end{array}\right|$

$Ac_{11}=4\times 1- -1\times 2$

$Ac_{11}=4+ 2$

$Ac_{11}=6$

$Ac_{12}=-\left|\begin{array}{ccc}-7&-1\\-8&1\end{array}\right|$

$Ac_{12}=-(-7\times 1- -1\times -8)$

$Ac_{12}=-(-7- 8)$

$Ac_{12}=15$

$Ac_{21}=-\left|\begin{array}{ccc}5&3\\2&1\end{array}\right|$

$Ac_{21}=-(5\times 1- 3\times 2)$

$Ac_{21}=-(5-6)$

$Ac_{21}=1$

$A_c{23}=-\left|\begin{array}{ccc}7&5\\-8&2\end{array}\right|$

$Ac_{23}=-(7\times 2 -8\times 5)$

$Ac_{23}=-(14-40)$

$Ac_{23}=26$

$A_c{31}=\left|\begin{array}{ccc}5&3\\4&-1\end{array}\right|$

$Ac_{31}=5\times -1 -4\times 3$

$Ac_{31}=-5-12$

$Ac_{31}=-17$

$A_c{33}=\left|\begin{array}{ccc}7&5\\-7&4\end{array}\right|$

$Ac_{33}=7\times 4- -7\times 5$

$Ac_{33}=28+35$

$Ac_{33}=63$

Therefore in increasing order, we have;

$Ac_{31}=-17,Ac_{21}=1,Ac_{11}=6,Ac_{23}=26,Ac_{12}=15, Ac_{33}=63$

7 0

3 years ago

Read 2 more answers

Is 16/24 equivalent 2/3

svetlana [45]

<h2><em>Answer:</em></h2><h2><em>Yes</em></h2>

<em>Just </em><em>divide </em><em>1</em><em>6</em><em> </em><em>and </em><em>2</em><em>4</em><em> </em><em>by </em><em>8</em><em>,</em><em> </em><em>you </em><em>will </em><em>get </em><em>2</em><em>/</em><em>3</em><em> </em><em>as </em><em>a </em><em>result.</em>

<em>Hope </em><em>it</em><em> helps</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em>

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3 years ago

Read 2 more answers

Please help . I’ll mark you as brainliest if correct !!!!

vredina [299]

Answer:

12 seconds

Step-by-step explanation:

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3 years ago

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For the two right triangles above, explain why a/8=x/12 . What trigonometric ratio is also equal to the two given ratios?

frutty [35]

Answer:

sin trigonometry ratio

Step-by-step explanation:

Given

See attachment for triangles

Required

Explain why $\frac{a}{8} = \frac{x}{12}$

From the attached diagram, both triangles are similar triangles because

(1) the second triangle is a dilation of the first triangle by a ratio of 1.5

i.e

$k = \frac{12}{8}$

$k = 1.5$

(2) They have angle 30 degrees, and have their right angles located at the same point

In the first triangle, the sine of 30 degrees is represented as:

$sin(30) = \frac{Opp}{Hyp}$

This gives:

$sin(30) = \frac{a}{8}$

In the second triangle:

$sin(30) = \frac{Opp}{Hyp}$

So:

$sin(30) = \frac{x}{12}$

By comparison:

$sin(30) = sin(3)$

Hence:

$\frac{a}{8} = \frac{x}{12}$

8 0

3 years ago