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bonufazy [111]
3 years ago
10

Solve in degrees. 0 < θ < 360 1. tan θ = 3.5134

Mathematics
1 answer:
Temka [501]3 years ago
5 0

Answer:

Therefore,

\theta=74.11\°\ or\ \theta=254.11\°

Step-by-step explanation:

Given:

0° < θ < 360°

tan θ = 3.5134

To Find:

θ in degrees = ?

Solution:

0° < θ < 360° .............Given

Means ' θ ' is between 0° and 360°

\tan \theta=3.5134 .............Given

Therefore,

\theta=\tan^{-1} (3.5134)

Also,

\tan (180+\theta)=\tan \theta

So  ' θ '  will have Two values for tan θ =3.5134

\therefore \theta=74.11\°\ or\ \theta=180+74.11=254.11\°

Therefore,

\theta=74.11\°\ or\ \theta=254.11\°

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In a triangle the second angle measures twice the first and the third angle measures 5 more than the second. If the sum of the a
Nostrana [21]

Answer:

Angle 1 = 35

Angle 2 = 70

Angle 3 = 75

Step-by-step explanation:

Let's define Angle 1 as <em>x</em>

<em />

Angle 1 = x

Angle 2 = 2x

Angle 3 = 2x + 5

x + 2x +2x + 5 = 180

5x + 5 = 180

5x = 175

x = 35

Angle 1 = 35

Angle 2 = 70

Angle 3 = 75

8 0
2 years ago
Part A: Max rented a motorbike at $465 for 5 days. If he rents the same motorbike for a week, he has to pay a total rent of $625
AleksAgata [21]

Answer: Our required equation will be

y-80x=65

Step-by-step explanation:

Since we have given that

Number of days Max rented a motorbike at $465 = 5 days

Number of days Max rented a motorbike at $625 = 7 days

According to question, we'll use " Equation of line using two points "

(y-y_0)=\frac{y_2-y_1}{x_2-x_1}(x-x_0)\\\\(y-465)=\frac{625-465}{7-5}(x-5)\\\\(y-465)=80(x-5)\\\\y-465=80x-400\\\\y-80x=-400+465\\\\y-80x=65

Hence, our required equation will be

y-80x=65

6 0
3 years ago
11. Kamala borrowed 26400 from a bank to buy a scooter at a rate of 15% per annum compounded yearly. What amount will she pay at
oee [108]
<h2>Answer </h2>

Amount (A) = P[1 + (r/100)]n

Principal (P) = ₹ 26400

Time period (n) = 2 years 4 months

Rate % (R) = 15% compounded annually

<h3>Steps </h3>

First, we will calculate Compound Interest (C.I) for the period of 2 years

A = P[1 + (r/100)]n

= 26400[1 + (15/100)]²

= 26400[(100/100) + (15/100)]²

= 26400 × 115/100 × 115/100

= 26400 × 23/20 × 23/20

= 26400 × 1.3225

= 34914

C.I. = A - P

= 34914 - 26400

= 8514

Now, we will find Simple Interest (S.I) for the period of 4 months

Principal for 4 months after C.I. for 2 years = ₹ 34,914

<h3>We know that ,</h3>

S.I = PRT/100

Here T = 4 months = 4/12 years = 1/3 years

S.I. for 4 months = (1/3) × 34914 × (15/100)

= (1/3) × 34914 × (3/20)

= 34914/20

= 1745.70

Total interest for 2 years 4 months = 8514 + 1745.70

= 10259.70

Total amount for 2 years 4 months = 26400 + 10259.70

= ₹ 36659.70

<h3>So , the correct answer is ₹ 36659.70 . </h3>

6 0
2 years ago
Read 2 more answers
HELP ASAP!!! What is a net? What can we use a net for? How can a net be used to find surface area?
AnnyKZ [126]
Is a flattened out three dimensional solid (a three dimensional shape) -- like a cube, a prism or a pyramid. When you cut out the "net", fold it and glue it together you can see what the three dimensional shape looks like.
6 0
2 years ago
Read 2 more answers
A window in the shape of a rectangle as shown below has a width of x+5 and a length of x^2- 3x+7 express the area of the rectang
Ksju [112]

Answer:

x^3+x^2-5x+28

Step-by-step explanation:

since a=lw, the area is (x^2-3x+7)(x+4)

1. distribute parentheses \left(x^2-3x+7\right)\left(x+4\right)=x^2x+x^2\cdot \:4+\left(-3x\right)x+\left(-3x\right)\cdot \:4+7x+7\cdot \:4

2. apply +(-a)=-a rule x^2x+4x^2-3xx-3\cdot \:4x+7x+7\cdot \:4

3. Simplify

    Steps to simplify:

x^2x=x^3

3xx=3x^2

3\cdot \:4x=12x

7\cdot \:4=28

x^3+4x^2-3x^2-12x+7x+28

4. Add like terms =x^3+4x^2-3x^2-5x+28

5. Add like terms =x^3+x^2-5x+28

6 0
2 years ago
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