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3 years ago

Whats the answer to this???

Mathematics

1 answer:

Leno4ka [110]3 years ago

8 0

Measure angle EFG = 15 degrees
Measure angle GFH = 15 degrees

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What is the common ratio of the geometric sequence below?

Vadim26 [7]

Answer:

$\textbf{Option C - $0.1$}\\$

Step-by-step explanation:

$\textup{A geometric series is given by}\\$ a, ar, ar^2, ar^3,. . . , ar^{n-1}, ar^n $ \\\textup{\textbf{Geometric progression or GP is a sequence of numbers in which the next number in the sequence is obtained by multiplying a number to the previous number in the sequence.}}\\$

$\textup{This number is constant through out the sequence and is denoted by $r$. it is given by $r = \frac{ar^n}{ar^{n-1}}$} \\$

$\textup{Here, the given sequence is: $70, 7, 0.7,...$}\\$

$$i.e., a = 70, ar = 7$\\$

$\textup{Hence, $r = \frac{ar}{a} = \frac{7}{70}$ }\\$

$= \frac{1}{10} = 0.1$

7 0

3 years ago

64p=-16+8p-40p^2 solve by factoring.

marusya05 [52]

Answer:

Solution set = {(-1,-2/5)]

Step-by-step explanation:

64p=-16+8p-40p²

64p-8p=-16-40p²

56p+16+40p²=0

40p²+56p+16=0

8(5p² +7p+2)=0

5p²+5p+2p+2=0

5p(p+1) +2(p+1)=0

(p+1)(5p+2)=0

p+1=0; 5p+2=0

p=-1; p=-2/5

6 0

3 years ago

To paint a sunset, you make a shade of orange paint using 55 drops of red paint for every 88 drops of yellow paint. If you use 1

alexandr402 [8]

Since the ratio of red drops to yellow drops is 55:88 and you have 1515 red drops, the yellow drops needed is given as
If 55=1515
88=?
88/55*1515=2424
therefore 2424 drops of yellow will be needed to make a shade of orange

8 0

4 years ago

This pentagonal right pyramid has a base area of 30 m. 5 m 7 m 8 m What is the volume of the figure?

arsen [322]

Answer: 50

Step-by-step explanation: V= 1/3 x base x height

V= 1/3 (30)(5)

V=1/3(150)

V=50

5 0

3 years ago

Read 2 more answers

If you roll a die 100 times, what is the approximate probability that you will roll between 9 and 16 ones, inclusive? (Round you

Ann [662]

Answer: 0.47

Step-by-step explanation:

Given that

n = 100, probability of rolling 1 = 1/6

binomial approximation

np = 100 ( 1/6) = 16.667

standard deviation = √ 100 × 1/6 ×5/6 = 3.7627

P ( 9 ≤ X ≤ 16 )

= P ( 8.5 < X < 16.5 )

so,

= P ((8.5 - 16.6667) / 3.7627 < Z < (16.5 - 16.6667) / 3.7627

= P ( -2.17 < Z < -0.04 )

= 0.484 - 0.015

= 0.47

Therefore the approximate probability that you will roll between 9 and 16 ones is 0.47

4 0

4 years ago