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HACTEHA [7]
3 years ago
9

The first term in a sequence is 13. The term to term rule is "take away 5" write an expression in terms of n , for the nth term

of the sequence
Mathematics
1 answer:
spayn [35]3 years ago
6 0

9514 1404 393

Answer:

  an = 13 -5(n -1)

Step-by-step explanation:

The "take away 5" rule means the common difference between terms is d=-5. For first term a1=13, the n-th term is ...

  an = a1 +d(n -1)

  an = 13 -5(n -1)

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Changle. Show all work. Round each length to the nearest tenth and each angle to the
Sedaia [141]

Answer:

Part 1) BC=12.2\ units

Part 2) m\angle A=55^o

Part 3) m\angle C=35^o

Step-by-step explanation:

Part 1) Find AC

we know that

In the right triangle ABC of the figure

Applying the Pythagorean Theorem

AC^2=AB^2+BC^2

substitute the given values

AC^2=7^2+10^2

AC^2=149\\AC=12.2\ units

Part 2) Find the measure of angle A

we know that

In the right triangle ABC

tan(A)=\frac{BC}{AB} ----> by TOA (opposite side divided by the adjacent side)

substitute the values

tan(A)=\frac{10}{7}

using a calculator

m\angle A=tan^{-1}(\frac{10}{7})=55^o

Part 3) Find the measure of angle C

we know that

In the right triangle ABC

m\angle A+m\angle C=90^o ----> by complementary angles

substitute the given value

55^o+m\angle C=90^o

m\angle C=90^o-55^o=35^o

8 0
3 years ago
Which shows the best estimate to use<br> to find 43 × 78?
Over [174]

Answer:

The best estimate for 43x78 is 40x80

Step-by-step explanation:

43 rounded to the nearest ten is 40.

78 rounded to the nearest ten is 80.  

The answer to 40x80 is 3200

4 0
3 years ago
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for black, 1/5 f
Schach [20]

Step-by-step explanation:

P(black or yellow) = P(black) + P(yellow) − P(black and yellow)

P(black or yellow) = 1/25 + 1/5 − 0

P(black or yellow) = 6/25

3 0
3 years ago
How to put a starting pay of $500 with 100% increase every month on a graph.
ohaa [14]

Answer:

if boo ygdv

Step-by-step explanation:

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4 0
2 years ago
3. An exclusive clothing boutique triples the price of the items it purchases
Juli2301 [7.4K]

Answer:

a) MARKUP PERCENT = 200%

b) <u>If the cost price of clothing A  = $10</u>

    then its retail price  = $30

   <u> If the cost price of clothing B   = $25</u>

   then its retail price  = $75

Step-by-step explanation:

Let us assume the original price for the clothing = a

Now,  boutique triples the price of the items it purchases for resale.

So, the resale value of the item of clothing = 3 times (Original price) = 3 a

So, here: The resale Value  = 3 a

a)  MARK UP Percentage = (\frac{\textrm{SP - CP}}{CP})  \times 100

\implies \%  = (\frac{3a-a}{a} ) \times 100 =  200 \%

or, the MARKUP PERCENT = 200%

b) Two expressions that represent retail price

<u>If the cost price of clothing A  = $10</u>

then its retail price  = 200% of 10 +  10  = 20 + 10 = $30

<u>If the cost price of clothing B   = $25</u>

then its retail price  = 200% of 25 +  25  = 50 + 25 = $75

7 0
3 years ago
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