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3 years ago

Use the Distributive Property to simplify the expression. 10(4-w)=HELP PLZ!!!!!!

Mathematics

1 answer:

jek_recluse [69]3 years ago

4 0

Answer:

40 - 10w

Step-by-step explanation:

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A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce,

Citrus2011 [14]

${\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}$

(i)

$\sf{a_n = 20 \times {( \frac{2}{3} )}^{n - 1} }$

(ii)

$\sf S_n = 60 \{1 - { \frac{2}{3}}^{n} \}$

Step-by-step explanation:

$\underline\red{\textsf{Given :-}}$

height of ball (a) = 10m

fraction of height decreases by each bounce (r) = 2/3

$\underline\pink{\textsf{Solution :-}}$

(i) We will use here geometric progression formula to find height an times

${\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times { \frac{2}{3} }^{n - 1} }$

(ii) here we will use the sum formula of geometric progression for finding the total nth impact

$\orange {\sf{S_n = a \times \frac{(1 - {r}^{n} )}{1 - r} }} \\ \sf S_n = 20 \times \frac{1 - ( { \frac{2}{3} })^{n} }{1 - \frac{2}{3} } \\ \sf S_n = 20 \times \frac{1 - {( \frac{2}{3}) }^{n} }{ \frac{1}{3} } \\ \sf S_n = 3 \times 20 \times \{1 - ( { \frac{2}{3}) }^{n} \} \\ \purple{\sf S_n = 60 \{1 - { \frac{2}{3} }^{n} \}}$

4 0

2 years ago

if two angles of a triangle have measures of 42 degrees and 20 degrees what is the measure of the third

Mila [183]

Every triangle has an angle measure of 180 degrees.

so 42+20+x (where x is the measure of the third angle)=180

Combine like terms.

62+x=180

Subtract 62 from both sides

x=118.

3 0

4 years ago

Marisol buys 3 pounds of cheese and 3 pounds of sausage for a total cost of $36. The sausage costs $2.00 less per pound than the

Andreas93 [3]

Answer:

The answer is 1pound of cheese is 7$ and the sausage is 5$

Step-by-step explanation:

6 0

3 years ago

Harvey walks 45 feet in 8.5 seconds. What is Harvey's rate in feet per second?

lilavasa [31]

The answer is : 5.29411764706

The answer when rounded: 5.29 or 5.3

I found the answer by simply dividing 45/8.5 - Remember that per means division!

6 0

3 years ago

What is the missing number 7 x ( ? x 9) = 63

GrogVix [38]

The ? is 1.

7*(9*1)=63

Hope this helps!!

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4 years ago