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aniked [119]
2 years ago
9

The sum of the digits of a two-digit number is 9. When the digits are reversed, the new number is 9 more than the original numbe

r. Find the original number. Check your answer.
a. 18
b. 27
c. 36
d. 45
Mathematics
1 answer:
Paul [167]2 years ago
4 0

9514 1404 393

Answer:

  d.  45

Step-by-step explanation:

You can check the offered answers. You will find that the difference from reversing the digits will only be 9 if the digits differ by 9/9 = 1.

The original number is 45.

__

<em>Check</em>

  45 + 9 = 54 . . . with the digits reversed

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In ΔNOP, the measure of ∠P=90°, the measure of ∠N=59°, and PN = 7.4 feet. Find the length of OP to the nearest tenth of a foot.
lina2011 [118]

Answer:

12.3 feet.

Step-by-step explanation:

As we are given that \triangle NOP is an right angled triangle.

\angle P = 90 ^\circ \\\angle N = 59 ^\circ\\Side\ PN = 7.4 \text{ feet}

And we have to find out the value of side OP to the nearest tenth of a foot by rounding off the value as seen in the attached figure as well.

By using Trigonometric functions in a right angled \triangle, we know that:

tan \theta = \frac{Perpendicular}{Base}

Here, \theta is \angle N, Perpendicular is side <em>OP</em> and Base is side <em>PN</em>.

So, tan 59^\circ = \frac{OP}{PN}

\Rightarrow OP = PN \times tan59^\circ

Putting the values of <em>PN </em>and tan59^\circ.

OP = 1.66 \times 7.4\\\Rightarrow OP = 12.3 ft

Hence, the value of <em>OP </em>is 12.3\ feet.

8 0
2 years ago
5 is 5% of what number w
navik [9.2K]
5 = 0.05w
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3 0
3 years ago
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Given ​f(x)=20x+11​, find ​f(4​)
kakasveta [241]

Answer:

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Step-by-step explanation:

Substitute 4 in place of x

f(4)=20*4+11

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f(4)=91

3 0
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madreJ [45]

Hey there!

We may ask. What exactly is a term anyways.

Well, a term is a single number, a variable, or a number and a variable that would have to be multiply together. This is what a term would be.

Therefore, as we look above, we see the following equation.

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18 is a term

4b is a term

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This whole thing, would be called an expression, as this is expression something. Perhaps the amount of students who ate ice-cream at a football game, or something similar.

I hope you found this helpful! :)

6 0
3 years ago
Select the correct answer​
UkoKoshka [18]

Ans

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Step-by-step explanation:

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3 years ago
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