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3 years ago

Find the nth term of this sequence 1 5 9 13 17

Mathematics

2 answers:

nata0808 [166]3 years ago

4 0

A = 1, d = 5 - 1 = 4
nth term = a + (n - 1)d = 1 + (n - 1)4 = 1 + 4n - 4 = 4n - 3
nth term = 4n - 3

trapecia [35]3 years ago

4 0

Answer:c

Step-by-step explanation:

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Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D

Ivahew [28]

Check the picture below.

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D$

$\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D$

7 0

3 years ago

Suppose you have 18 more quarters than dimes. You have a total of $8.00. How many of each coin do you have? Use the substitution

kramer

Answer:

18 quarters = $4.50

8.00-4.50=3.50

10 dimes+10 quarters=$3.50

Answer= you have 10 dimes and 28 quarters

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

The air force reports that the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a

Phantasy [73]

Answer:

Step-by-step explanation:

Given that X - the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.

Height of male pilot = 74.2 inches

We have to find the percentile

X = 74.2

Corresponding Z score = 74.2-72.6 = 1.6

P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%

i.e. only 5% are below him in height.

Thus the malepilot is in 5th percentile.

8 0

3 years ago

Find the value of x in each triangle. Please help me <33

frozen [14]

Answer:

x = 11

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

5x + 4 + 6x - 3 + 4x + 14 = 180 ← collect like terms on left side

15x + 15 = 180 ( subtract 15 from both sides )

15x = 165 ( divide both sides by 15 )

x = 11

6 0

2 years ago

A deer population is estimated to be 4,350. The growth rate of the population is given by the equation y=4350(1.07) . What is th

HACTEHA [7]

Answer:

Step-by-step explanation:

Analyzing the growth rate of 1.07:

If the growth rate is a number greater than 1, we have exponential growth; if the growth rate is a number greater than 0 but less than 1, we have exponential decay.

Our growth rate is actually growth. But the rate of growth is not 107%. The rate of growth means that we already had 100% of the population and that it is growing by 7% each year. 100% + 7% = 107%; as a decimal, 1.07

So the rate of growth is 7%

8 0

2 years ago