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Anna [14]
3 years ago
8

All right triangles with the same acute angle θ are

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0
<span>All right triangles with the same acute angle θ are SIMILAR</span>
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Find <br><br> a.<br> 107°<br> b.<br> 117°<br> c.<br> 63°<br> d.<br> 73°
REY [17]
The answer is C plus is an acute triangle
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9:00 oclock as a fraction in its lowest form​
kirill115 [55]

Answer:

1/9

Step-by-step explanation:

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2 years ago
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Triangle UVW is formed by the three squares G, H, and I:
Serjik [45]
The phytagorean theorem states a^2 + b^2 = c^2 And so your answer is C. (UV)^2+(VW)^2=(UW)^2, because 81+144=225
 
Since they are squares, the length of one sides square is equal to the area. UV, VW, and UW are all sides on a square. If you square them, you get their area, and then if you add the areas it will prove the phytagorean theorem correct.
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3 years ago
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Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

420* 12=

5040

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

<em>6% means 6 per cent/hundred, so it can be represented as:</em>

\frac{6}{100}

<em>The fraction </em>\frac{6}{100}<em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:

0.06

Now, multiply the decimal form of 6% by $5040:

0.06*5040=

302.40

Therefore, Mason's rent will increase by $302.40 next year.

-

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

302.40 ÷ 12=

25.20

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

420+25.20=

445.20

Therefore, Mason's new rent per month next year will be $445.20.

7 0
3 years ago
A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the station every 6 minutes. Suppose i
Virty [35]

Answer:

7:12 a.m

Step-by-step explanation:

Given that:

Train to New York city leaves station every 7 minutes

Train to Boston leaves station every 6 minutes

Current time = 6:30 a.m

Time both will leave station together is obtained by finding the least common multiple of 6 and 7

Multiples of ;

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...

The least common multiple of 6 and 7 is 42.

Hence, both trains will leave the station together after 42 minutes ;

Current time + 42 minutes

6:30 a.m+ 42 minutes = 7:12 a.m

7 0
3 years ago
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