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2 years ago

9

Mathematics

2 answers:

8_murik_8 [283]2 years ago

6 0

Answer:

Step-by-step explanation:

Kim . Scott

+5 (y+5) -5 . (y)

let's give them a random age

Kim . Scott

16 . 11

Mum Dad x3

48 . 33

48-33=15

So Kim's mum is 15 years older than Scott's dad

timurjin [86]2 years ago

5 0

Answer: 15 years

Step-by-step explanation:

Given : Kim is 5 years older than Scott.

Kim's mum is 3 times Kim's age.

Scott's dad is 3 times Scott's age.

Let age of Scott = y years

Then Kim's age = (y+5) years

Kim's mum age = $3\times (y+5)=3y+15$ years

Scott's Dad age = $3\times y=3y$ years

Difference between Kim's mum age and Scott's Dad age = Kim's mum age - Scott's Dad age = (3y+15) - (3y) = 15

Thus Kim's mum is 15 years older than Scott's dad.

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Use the diagram to complete the statement. Triangle J K L is shown. Angle K J L is a right angle. Angle J K L is 52 degrees and

zzz [600]

Answer:

$\bold{sin(38^\circ)=cos(52^\circ)}$

Step-by-step explanation:

Given that $\triangle KJL$ is a right angled triangle.

$\angle JKL = 52^\circ\\\angle KLJ = 38^\circ$

and

$\angle KJL = 90^\circ$

Kindly refer to the attached image of $\triangle KJL$ in which all the given angles are shown.

To find:

sin(38°) = ?

a) cos(38°)

b) cos(52°)

c) tan(38°)

d) tan(52°)

Solution:

Let us use the trigonometric identities in the given $\triangle KJL$ .

We have to find the value of sin(38°).

We know that sine trigonometric identity is given as:

$sin\theta =\dfrac{Perpendicular}{Hypotenuse}$

$sin(\angle JLK) = \dfrac{JK}{KL}\\OR\\sin(38^\circ) = \dfrac{JK}{KL}$ ....... (1)

Now, let us find out the values of trigonometric functions given in options one by one:

$cos\theta =\dfrac{Base}{Hypotenuse}$

$cos(\angle JLK) = \dfrac{JL}{KL}\\OR\\cos(38^\circ) = \dfrac{JL}{KL}$ ....... (2)

By (1) and (2):

sin(38°) $\neq$ cos(38°).

$cos(\angle JKL) = \dfrac{JK}{KL}\\OR\\cos(52^\circ) = \dfrac{JK}{KL}$ ...... (3)

Comparing equations (1) and (3):

we get the both are same.

$\therefore \bold{sin(38^\circ)=cos(52^\circ)}$

6 0

2 years ago

Is -9greater or less than -27/3

motikmotik

Answer:

It is equal.

Step-by-step explanation:

-27 / 3 = -9.

Please mark my answer as the brainliest, it makes my day! (●'◡'●)

3 0

2 years ago

The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The

dangina [55]

Answer:

64 ft^2

Step-by-step explanation:

(x+7)(x-2)=90

x^2-2x+7x-14=90

x^2+5x-104=0

factor

(x+13)(x-8)=0

x=-13

x=8 ft original square side

area=8x8=64

7 0

2 years ago

Read 2 more answers

Which function is represented by the graph below?

Zina [86]

This would be an exponential graph and non of the answers are exponential. but the graph would be f(x)=3^x

5 0

2 years ago

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A box contains 8 white socks, 4 black socks and 2 blue socks. If you reach in and pull out one sock, what are the odds that it w

morpeh [17]

8+4+2=14
There's 4 black socks.
So 4/14
4 divided by 2 = 2
14 divided by 2 = 7
The answer is 2/7
A. 2/7

3 0

2 years ago