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lana66690 [7]
2 years ago
12

Please help simpliflying this pleasee!!!!!! i will give brainliest to the best answer!!!

Mathematics
1 answer:
sertanlavr [38]2 years ago
4 0

Answer:

c

Step-by-step explanation:

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What is the range of possible values for x?
Talja [164]
The minimum value for 2x is 0 
<span>the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC </span>
<span>base AB = 52 and vertical angle 2x + 34° </span>

<span>For the sine law </span>
<span>(sin 2x)/22 = (sin ADB)/AB </span>
<span>(sin 34°)/30 = (sin BDC)/BC </span>

<span>is given that AB = BC, and sin ADC = sin BDC because they are supplementary, so from </span>
<span>(sin ADC)/AB = (sin BDC)/BC </span>

<span>it follows </span>
<span>(sin 2x)/22 = (sin 34°)/30 </span>

<span>sin 2x = 22 (sin 34°)/30 </span>

<span>2x = asin(22 (sin 34°)/30) ≈ 24.2° </span>

<span>x = 0.5 asin(22 (sin 34°)/30) ≈ 12.1° </span>

<span>0 < x < 12.1°</span>
7 0
3 years ago
What's the largest 3-digit base 14 integer?
Mars2501 [29]
Base 10 has the ten digits: {0, 1, 2, 3, 4, 5, 6,7, 8, 9}

Base 11 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A} where A is treated as a single digit number

Base 12 has the digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B}

Base 13 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C}

Base 14 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D}

The digit D is the largest single digit of that last set. So the largest 3-digit base 14 integer is DDD which is the final answer

Note: It is similar to how 999 is the largest 3-digit base 10 integer
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2 years ago
The enrollment at Sonya's school is 109% of last years enrollment. What decimal represents this year's enrollment to last year's
Dominik [7]
1.09 because all percents are divided by 100 to find the decimal
4 0
3 years ago
Read 2 more answers
Jane wishes to have 20,000 available at the end of 10 years so she deposit money into an account that pays 1.14% compounded mont
max2010maxim [7]

Answer:

\$17,846.12  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ A=\$20,000\\ r=0.0114\\n=12  

substitute in the formula above  

\$20,000=P(1+\frac{0.0114}{12})^{12*10}  

P=\$20,000/[(1+\frac{0.0114}{12})^{120}]  

P=\$17,846.12  

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3 years ago
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Nonamiya [84]
Be more specific boo xxo
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