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shepuryov [24]
3 years ago
12

ne angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 50 de

grees more than that of the smallest angle. Find the measure of the LARGEST angle
Mathematics
1 answer:
motikmotik3 years ago
7 0

Answer:

the smallest angle is x, and then the second angle is 3x and the third angle is 3x+50. I don't know what the smallest angle is though.

Step-by-step explanation:

first I don't see the smallest angle that's why I called it x. Next you said 3 times the smallest angle so 3 times x. Finally you said the third angle is 50 more than the second one so you add 50 to 3x. I can't tell you what the answer is though because you didn't tell me the smallest angles measure.

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John worked 43 hours last week. His hourly rate is $9.00. He has the following deductions taken from his pay: Social Security ta
disa [49]

Assuming John does not get premium pay for hours over 40, his pay will be ...

... 43 hours × $9.00 = $387

... - 6.2% × $387 = $23.99

... - 1.45% × $387 = $5.61

... - $15.00

... - 5% × $387 = $19.35

... - 10% × ($387 -19.35) = $36.77

... = $286.28 . . . . net pay after all the deductions

6 0
3 years ago
Read 2 more answers
Marisol is making a rectangular wooden frame. She wants the length of the frame to be no more than 12 inches. She has less than
evablogger [386]
<span>l ≤ 12
2l + 2w < 30 
the second and fourth option are saying she can make the length longer than twelve and the third option forgets to double the length and width so it is accurate. The first option is the right answer.</span>
6 0
2 years ago
Find the sum of the geometric series 512+256+ . . .+4
mario62 [17]

\bf 512~~,~~\stackrel{512\cdot \frac{1}{2}}{256}~~,~~...4

so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?

\bf n^{th}\textit{ term of a geometric sequence}\\\\a_n=a_1\cdot r^{n-1}\qquad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\a_n=+4\end{cases}

\bf 4=512\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{4}{512}=\left( \cfrac{1}{2} \right)^{n-1}\\\\\\\cfrac{1}{128}=\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{1}{2^7}=\left( \cfrac{1}{2} \right)^{n-1}\implies 2^{-7}=\left( 2^{-1}\right)^{n-1}\\\\\\(2^{-1})^7=(2^{-1})^{n-1}\implies 7=n-1\implies \boxed{8=n}

so is the 8th term, then, let's find the Sum of the first 8 terms.

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\n=8\end{cases}

\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}}  \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}}  \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020

7 0
3 years ago
1.
Margarita [4]

Answer:

The ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.

Step-by-step explanation:

The quadratic function h(t) = -4.9t^2 + 22t + 5.5 represents the height of the ball above the ground, h(t), in meters, with respect to time, t, in seconds.

To find h(3), substitute t = 3 into the function expression:

h(3)=-4.9\cdot 3^2+22\cdot 3+5.5\\ \\=-4.9\cdot 9+66+5.5\\ \\=-44.1+71.5\\ \\=27.4

Meaning: the ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.

5 0
3 years ago
Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).
chubhunter [2.5K]
Lets create both equations and :

f(x) = 5x^2 + 1


linear binomial form: x - 4

according to the remainder theorem, x - 4 is a divisor of f(x) if and only if f(4) = 0
f(4) = 5*16 + 1 = 81

hence x - 4 is not a divisor of f(x)
5 0
2 years ago
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