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3 years ago

Please help!!!! Sine and cosine ratios

Mathematics

1 answer:

Kipish [7]3 years ago

8 0

Answer: 40.9

Step-by-step explanation:

Given

angle given is $23^{\circ}$

$RC=16$

Using trigonometry

$\Rightarrow \sin 23^{\circ}=\dfrac{RC}{PC}\\\\\Rightarrow \sin 23^{\circ}=\dfrac{16}{X}\\\\\Rightarrow X=\dfrac{16}{\sin 23^{\circ}}\\\\\Rightarrow X=40.948\approx 40.9$

Using cosine formula

$\Rightarrow \cos 23^{\circ}=\dfrac{PR}{X}\\\\\Rightarrow PR=40.9\times \cos 23^{\circ}\\\Rightarrow PR=37.69\approx 37.7$

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2 years ago

0.2(x+50)-6=0.4(3x+20)

podryga [215]

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2 years ago

Landscaping company planted 176 tress in 8 equal rows in the new park. Jow many tress did the company plant in each row

Lynna [10]

22 plants in each row

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2 years ago

Calculate, to four decimal places, the first ten terms of the sequence. an = 1 +(−4/9)^n

Lemur [1.5K]

The first ten terms of the sequence $a_n=1 + (-\frac{4}{9} )^n$ is 0.5556, 1.1975, 0.9122, 1.039, 0.9827, 1.0077, 0.9966, 1.0015, 0.9993 and 1.0003

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given that:

$a_n=1 + (-\frac{4}{9} )^n\\\\When\ n=1:a_1=1 + (-\frac{4}{9} )^1=0.5556\\\\When\ n=2:a_2=1 + (-\frac{4}{9} )^2=1.1975\\\\When\ n=3:a_3=1 + (-\frac{4}{9} )^3=0.9122\\\\When\ n=4:a_4=1 + (-\frac{4}{9} )^4=1.039\\\\When\ n=5:a_5=1 + (-\frac{4}{9} )^5=0.9827\\\\When\ n=6:a_6=1 + (-\frac{4}{9} )^6=1.0077\\\\When\ n=7:a_7=1 + (-\frac{4}{9} )^7=0.9966\\\\When\ n=8:a_8=1 + (-\frac{4}{9} )^8=1.0015\\\\When\ n=9:a_9=1 + (-\frac{4}{9} )^9=0.9993\\\\$

$When\ n=10:a_{10}=1 + (-\frac{4}{9} )^{10}=1.0003\\$

The first ten terms of the sequence $a_n=1 + (-\frac{4}{9} )^n$ is 0.5556, 1.1975, 0.9122, 1.039, 0.9827, 1.0077, 0.9966, 1.0015, 0.9993 and 1.0003

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0

1 year ago

The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm

svet-max [94.6K]

The sides of the triangle are 3x, 4x and 5x

3x + 4x + 5x = 90
12x = 90
x = 90/12
x = 7.5

first side = 3x = 3 * 7.5 = 22.5 cm
second side = 4x = 4 * 7.5 = 30 cm
third side = 5x = 5*7.5 = 37.5 cm

7 0

2 years ago