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Ksenya-84 [330]
3 years ago
6

Can someone help please asap

Mathematics
1 answer:
ch4aika [34]3 years ago
3 0

Sn = (a1) x (1 - r^n) / (1 - r)


Substituting the known values:


S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27 = 8 24/27 = 8 8/9


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Find the exact value of cos(arcsin(1/4)). For full credit, explain your reasoning.
Westkost [7]
First way
arcsin(1/4) means that 1/4 sin of the angle.

sin(α)=1/4
sin²α+cos²α=1
(1/4)²+cos²α=1
cos²α=1-1/16 =15/16
cosα=+/-(√15)/4

<span>Second way
</span>
sin(α)=1/4 =opposite leg/hipotenuse
cos(α)=adjacent leg/hypothenuse
adjacent leg =√(hypotenuse²- Opposite²)=√(16-1)=√15
cosα=+/-√15/4

For one value of sinα, possible 2 values of cosα.

5 0
2 years ago
Bad Investment After Mrs. Fisher lost 9% of her investment, she had $22,750. What was Mrs. Fisher's original investment?​
stira [4]

Answer:

$2500

Step-by-step explanation:

Given that,

The lost percentage = 9%

Amount she had = $22,750

We need to find Mrs. Fisher's original investment.

As she had lost 9%, it means she will remain with 91% of her investment. Let the original investment is x.

So,

91\%\ of \ x=22,750\\\\\dfrac{91}{100}x=22,750\\\\x=\dfrac{22,750\times 100}{91}\\\\x=\$25000

So, her original investment is equal to $25000.

7 0
3 years ago
Find the equation of the line that passes through (2,8) and (6,48)
kolezko [41]

Answer: m = 10

.........................

3 0
3 years ago
Dominic had $500 in his wallet. He went to the nursery and purchased 8 rose bushes at $22 each, 12 evergreen shrubs at $18 each,
timurjin [86]

Answer:

176+216+75=467

500-467=33

so 33 is the answer

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Line n intersects lines 1 and m, forming the angles shown in the diagram below.
bija089 [108]

Answer:

B. 4.5

Step-by-step explanation:

(6x + 42)° and (18x - 12)° are alternate interior angles. If line l is parallel to line m, therefore,

6x + 42 = 18x - 12

Solve for the value of x. Combine like terms.

6x - 18x = -42 - 12

-12x = -54

Divide both sides by -12

-12x/-12 = -54/-12

x = 4.5

Therefore, x = 4.5 would prove lines l and m are parallel to each other.

7 0
2 years ago
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