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3 years ago

Find A round to the nearest tenth! laws of cosines

Mathematics

1 answer:

Stolb23 [73]3 years ago

5 0

Check the picture below.

make sure your calculator is in Degree mode.

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A ribbon is cut into n parts. The length of each part increases such that they form a geometric progression. SPM Given the lengt

emmainna [20.7K]

Answer:

Step-by-step explanation:

$Let\ say\ r \ the \common\ ratio:\\a)a_4=r^2*a_2=9*a_2\Longrightarrow\ r=3\ (not\ -3\ since\ parts\ are\ positive)\\\\b)\\\displaystyle \sum_{i=1}^{n} a_i =a_1+a_2+a_3+...+a_n\\\\=a_1+a_1*r+a_1*r^2+a_1*r^3+...+a_1*r^{n-1}\\\\=a_1*(1+r+r^2+...+r^{n-1})\\\\=a_1*\dfrac{r^n-1}{r-1} \\\\147620=5*\frac{(3^n-1)}{3-1} \\\\3^n-1=\frac{2*147620}{5} \\\\3^n=59049 \\\\n*ln(3)=ln(59049)\\\\n=\dfrac{ln(59049)}{ln(3)} \\\\n=10\\\\a_n=5*3^{10-1}=5*19683=98415(cm)$

5 0

2 years ago

On one day, 4 chefs and 5 helpers earned $650.

Arlecino [84]

4c + 5h = 650 and

5c + 6h = 800 where c are chefs, h are helpers

Start by finding an expression for c

4c + 5h = 650
4c = 650 -5h
c = (650- 5h)/4

Then substitute that into the second equation and solve for a number value for h
5 (650-5h)/4 + 6h = 800
(3250-25h)/4 + 6h = 800
Multiply both sides by 4
3250-25h + 24h = 3200
-h = -50
h = 50

Take that 50 and substitute it into the expression we have for c to get a number value for c

C= 650-5(50)/4
C = 650-250/4
C = 400/4
C= 100

Check your first equations, substituting $50 for the helpers and $100 for the chefs.

4 (100) + 5(50) =
400 + 250 = 650

5(100) + 6(50) =
500 + 300 = 800

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2 years ago

John has purchased collision insurance with a $100-deductible clause, and automobile medical payments insurance in the amount of

Len [333]

B is answer because total of medical bill was 1,100 plus car repair cost 900 total 2,000. minus 100 dollars john has to pay for his deductible

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3 years ago

Help plz. 6th grade math

evablogger [386]

Answer:

2.5z^2+3z+4.2

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Which choice shows the image of triangle QRS after the reflection over the x-axis followed by a rotation of 180° around the orig

Alex777 [14]

Answer:

Step-by-step explanation:

We see that triangle QRS is located in Quadrant III. (See attachment for labelling of quadrants)

Reflecting it over the x-axis means that we flip it over the x-axis, or we flip it vertically. Doing so, QRS will end up in Quadrant II.

Now, we need to rotate QRS 180 degrees about the origin. The quadrants are all 90 degrees away from each other, which means that if we rotate QRS about the origin 180 degrees, we'll end up two quadrants away from Quadrant II: we'll end in Quadrant IV.

Look at each of the answer choices. The only choice that features Q'R'S' (the image of QRS) in the fourth quadrant is the first choice, or A. So that's the answer.

<em>~ an aesthetics lover</em>

3 0

2 years ago

Find A round to the nearest tenth! laws of cosines​

Find A round to the nearest tenth! laws of cosines