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andre [41]
3 years ago
10

PLEASE HELP! A) 9 B) 8.6 C) 26.3 D) 5.7

Mathematics
1 answer:
lisov135 [29]3 years ago
3 0

Answer:

x = 9.0

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 39 = 7/x

x cos 39 = 7

x = 7/cos 39

x =9.007316961

x = 9.0

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Elenna [48]
y=12^x\ \ \ |log_{12}\\\\\log_{12}y=\log_{12}12^x\\\\\log_{12}y=x\log_{12}12\\\\x=\log_{12}y


y=12^x\to y^{-1}=\log_{12}x;\ x\in\mathbb{R^+}\to\ y^{-1}=\dfrac{\log x}{\log12};\ x\in\mathbb{R^+}\to y^{-1}=\dfrac{\ln x}{\ln 12}

Used:\\\\\log_aa=1\\\\\log_ab^n=n\log_ab\\\\\log_ab=\dfrac{\log_cb}{\log_ca}
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3 years ago
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-5, 20, -80, 320, ... is a geometric sequence a. Find the common ratio, b. Write its recursive rule c. Write its explicit rule.W
mario62 [17]

a.

In order to find the common ratio, we just need to divide a term by the term that comes before it.

So using the terms 20 and -5, we have:

\text{ratio}=\frac{20}{-5}=-4

b.

The recursive rule can be found with the formula:

a_n=a_{n-1}\cdot q

Where an is the nth term and q is the ratio. So we have:

a_n=a_{n-1}\cdot(-4)

c.

The explicit rule can be written as:

a_n=a_1\cdot q^{n-1}

Where an is the nth term, a1 is the first term and q is the ratio. So:

a_n=-5\cdot(-4)^{n-1}

5 0
11 months ago
In the exponential growth function y = 235(1.15)^x, what is the
sweet-ann [11.9K]

Answer: Growth factor will be 0.15 and percent increase will be 15%.

Step-by-step explanation:

Since we have given that

the exponential growth function

y=235(1.15)^x

1) We need to find the growth factor :

As we know the formula for "Compound Interest ":

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If we compare the formula with our given equation, we get

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So, the growth factor is at the rate of 0.15.

2) Percent increase will be

0.15=\frac{15}{100}\times 100\\\\=15\%

Hence, growth factor will be 0.15 and percent increase will be 15%.

3 0
3 years ago
Express 3/8 in thirty-seconds
Doss [256]
The answer is 12/32 i believe.
6 0
3 years ago
1. To determine simple interest, we use the formula i=prt where i is the interest, p is the principal or initial amount, r is th
Andrews [41]

Step-by-step explanation:

To determine simple interest, we use the formula

I=Prt

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When the times is 4 months , then we plug in 4 for 't' and divide by 12

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we know that 1 year = 365 days

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When the times is 45 days , then we plug in 45 for 't' and divide by 365

I=\frac{Pr(45)}{365}

5 0
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