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2 years ago

Roger can type 1530 words in 1/2 hour. How many words can he type per minute? PLS HELP ME

Mathematics

1 answer:

Lera25 [3.4K]2 years ago

6 0

Answer:

25.5

Step-by-step explanation:

1530 divided by 60 is 25.5 and 25.5 multiplied by 60 is 1530.

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A certain fraction has a value of 15. the denominator is four more than three times the numerator. what is the fraction?

ra1l [238]

N/d = 15
d= 4 + 3n

d=n/15
n/15=4+3n
n=60+45n
44n=-60
n=-15/11
-15/11 / d = 15
-15/11 = 15d
d=-1/11

15/11 / 1/11. = 15

3 0

3 years ago

The point (1/3,1/4) lies on the terminal said of an angle. Find the exact value of the six trig functions and explain which func

katrin2010 [14]

Answer:

sine and cosec are inverse of each other.

cosine and sec are inverse of each other.

tan and cot are inverse of each other.

Step-by-step explanation:

Given point on terminal side of an angle ( $\frac{1}{3},\frac{1}4$ ).

Kindly refer to the attached image for the diagram of the given point.

Let it be point A( $\frac{1}{3},\frac{1}4$ )

Let O be the origin i.e. (0,0)

Point B will be ( $\frac{1}{3},0$ )

Now, let us consider the right angled triangle $\triangle OBA$ :

Sides:

$Base, OB = \frac{1}{3}\\Perpendicular, AB = \frac{1}{4}$

Using Pythagorean theorem:

$\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OA^{2} = OB^{2} + AB^{2}\\\Rightarrow OA^{2} = \frac{1}{3}^{2} + \frac{1}{4}^{2}\\\Rightarrow OA = \sqrt{\frac{1}{3}^{2} + \frac{1}{4}^{2}}\\\Rightarrow OA = \sqrt{\frac{4^2+3^2}{3^{2}.4^2 }}\\\Rightarrow OA = \frac{5}{12}$

$sin \angle AOB = \dfrac{Perpendicular}{Hypotenuse}$

$\Rightarrow sin \angle AOB = \dfrac{\frac{1}{4}}{\frac{5}{12}}\\\Rightarrow sin \angle AOB = \dfrac{3}{5}$

$cos\angle AOB = \dfrac{Base}{Hypotenuse}$

$\Rightarrow cos \angle AOB = \dfrac{\frac{1}{3}}{\frac{5}{12}}\\\Rightarrow cos\angle AOB = \dfrac{4}{5}$

$tan\angle AOB = \dfrac{Perpendicular}{Base}$

$\Rightarrow tan\angle AOB = \dfrac{3}{4}$

$cosec \angle AOB = \dfrac{Hypotenuse}{Perpendicular}$

$\Rightarrow cosec\angle AOB = \dfrac{5}{3}$

$sec\angle AOB = \dfrac{Hypotenuse}{Base}$

$\Rightarrow sec\angle AOB = \dfrac{5}{4}$

$cot\angle AOB = \dfrac{Base}{Perpendicular}$

$\Rightarrow cot\angle AOB = \dfrac{4}{3}$

3 0

2 years ago

(Multiying by a unit fraction. Find the product mentally. (5.6) × 1/8=

Ipatiy [6.2K]

Step-by-step explanation:

(5.6) × 1/8

$(5.6) \cdot \frac{1}{8}$

Here the unit fraction is 1/8

multiply 5.6 times 1

so its 5.6. then divide the decimal by 8

we know that 8 times 7 is 56

so 56 divide by 8 is 7

we have decimal point 1 number to the left

so we move decimal point 2 place left

Hence 5.6 divide by 8 is 0.7

$(5.6) \cdot \frac{1}{8}=0.7$

Answer: 0.7

6 0

3 years ago

What is the slope if you have (2,1) and (4,4)?<br><br><br>*Ineed this quickly as possible!-Thx

Schach [20]

$(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{4}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{3}{2}$

7 0

2 years ago

Read 2 more answers

What is 3 1/3 *2/3?

Molodets [167]

Answer:2 2/9

Step-by-step explanation:

3 1/3= 10/3, 10/3 x 2/3= 20/9= 2 2/9

6 0

2 years ago

Read 2 more answers