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Bad White [126]

3 years ago

14

Why can't you compare 5 minutes in 240 seconds without making some kind of change

1 answer:

grin007 [14]3 years ago

5 0

You have to have the same unit of measure. Here your units are "minutes" and "seconds". In order to compare the two, you must change to 240 seconds into minutes (dividing by 60 = 4 mins) OR change the 5 minutes into seconds (multiply by 60 to give you 300 seconds)

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Two numbers are the ratio of 2:7. their sum is 63. what is the larger number?

MariettaO [177]

Answer:

49

Step-by-step explanation:

step 1: Add the ratios 2:7 which is 2+7=9

step 2: divide the bigger ratio (7) by the total calculated in step 1 (9) and multiply by the total number given (63)....

step 3: we have 7/9×63 which is 49

therefore the bigger number is 49

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Verify the trigonometric identity. convert the left side of the relationship to look like the right side.

Tomtit [17]

Answer:

Verified

Step-by-step explanation:

Use $\tan{x}=\frac{\sin{x}}{\cos{x}}$ , $\sin^2{x}+\cos^2{x}=1$ and $\sec{x}=\frac{1}{\cos{x}}$

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2 years ago

If RSTU is a rhombus, find the measure of angle RUT.

Schach [20]

<u>Finding x:</u>

We know that the diagonals of a rhombus bisect its angles

So, since US is a diagonal of the given rhombus:

∠RUS = ∠TUS

10x - 23 = 3x + 19 [replacing the given values of the angles]

7x - 23 = 19 [subtracting 3x from both sides]

7x = 42 [adding 23 on both sides]

x = 6 [dividing both sides by 7]

<u>Finding ∠RUT:</u>

We can see that:

∠RUT = ∠RUS + ∠TUS

<em>Since we are given the values of ∠RUS and ∠TUS:</em>

∠RUT = (10x - 23) + (3x + 19)

∠RUT = 13x - 4

<em>We know that x = 6:</em>

∠RUT = 13(6)- 4

∠RUT = 74°

8 0

3 years ago