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Andre45 [30]
3 years ago
9

Suppose that triangle ABC is dilated to A'B'C' by a scale factor of 4 with a center of dilation at the origin.

Mathematics
2 answers:
VLD [36.1K]3 years ago
7 0
C) 6 units I just guess it
9966 [12]3 years ago
6 0

it is d) 8 units because i put it in and its right

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Find AB.<br> Round to the nearest tenth.<br> 61°
anzhelika [568]

Answer:

AB ≈ 14.3

Step-by-step explanation:

We're given <em>two sides </em>(BC and CA) and an <em>angle </em>(C)<em> between them</em>; the <em>law of cosines </em>is a good tool for calculating the third side of the triangle here. To remind you, the law of cosines tells us the relationship between the sides of a triangle with side lengths a, b, and c:

c^2=a^2+b^2-2ab\cos{C}

Where C is the angle between sides a and b. c is typically the side we're trying to find, so on our triangle, we have

c=AB\\a=BC=16\\b=CA=5\\C=m\angle C=61^{\circ}

Substituting these values into the law of cosines:

c^2=16^2+5^2-2(16)(5)\cos{61^{\circ}}\\c^2=256+25-160\cos{61^{\circ}}\\c^2=281-160\cos{61^{\circ}}\\c=\sqrt{281-160\cos{61^{\circ}}}\\c\approx 14.3

6 0
3 years ago
Read 2 more answers
Rachel's learning to play the violin Monday through Friday she practices 45 minutes on each day on Saturday and Sundays he broug
I am Lyosha [343]

Rachel spends 6 hours 45 minutes a week trying to learn to play the violin.

Step-by-step explanation:

Step 1; Rachel learns for 45 minutes a day from Monday through Friday and in the weekend she learns to play the violin for one and a half hours. So she learns for the following periods of time

Monday - 45 minutes

Tuesday - 45 minutes

Wednesday - 45 minutes

Thursday - 45 minutes

Friday - 45 minutes

Saturday - 90 minutes (60 × 1.5 hours)

Sunday - 90 minutes (60 × 1.5 hours)

Step 2; To determine how much time she practices in a week we just add the individual times she plays on each day.

Total time practices in a week = 45 + 45 + 45 + 45 + 45 + 90 + 90 = 405 minutes = 6 hours 45 minutes.

           

5 0
3 years ago
Suppose that two balanced, six sided dice are tossed repeatedly and the sum of the two uppermost faces is determined on each tos
Simora [160]

Answer:

\frac{(2/36)}{(1-(28/36))} = 1/4

Step-by-step explanation:

6 0
3 years ago
33. After receiving his business degree from UNC-Chapel
Valentin [98]

0 because companies A says he gets 80.000 dollars per year with a 1,000 dollars increase every year so companies B will higher have to wait 0 years to be higher than companies A

7 0
3 years ago
Convert 25/8 into a mixed number
motikmotik
Changing improper fractions to mixed form or mixed numbers is a very simple thing. You just have to follow the following:
Then write Let us have 25/8. <span><span>
1.       </span><span>Divide the numerator (top number)  by the denominator (number below the bar). </span></span> Simply divide 25 by 8. 25 ÷ 8 = n
We can have 3 and 1 as a remainder. So, the answer will be 3 and 1/8. <span><span>

2.       </span> <span>Write down the whole number answer. 
Since we have 3 as the whole number answer, write it down. And;</span></span> <span><span>

3.       </span><span> Write down any remainder above the denominator, like this:</span></span> 3 and 1 (remainder) over 8 (denominator of the given improper fraction). That is, 3 1/8  


3 0
3 years ago
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