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faltersainse [42]
3 years ago
15

Find the value of x ANSWER IS NOT

Mathematics
2 answers:
Katen [24]3 years ago
7 0

Answer:

11sqrt(2)

Step-by-step explanation:

This is an isosceles right triangle so x=y.

By Pythagorean Theorem, x^2+x^2=22^2.

2x^2=22^2 after combining like terms

x^2=22^2 /2 after dividing 2 on both sides

x=sqrt(22^2 /2) after taking square root of both sides

x=22/sqrt(2)

x=22/sqrt(2) sqrt(2)/sqrt(2)

x=22sqrt(2)/2

x=11sqrt(2)

gulaghasi [49]3 years ago
3 0

Answer:

x = 11√2

Step-by-step explanation:

We can notice the triangle given is a special triangle, a 45°- 45°- 90° triangle. The hypotenuse of a 45°- 45°- 90° is √2 times the length of a side. We can set up the equation(using x as the side):

x * √2  = 22

We can divide by √2 on both sides to get:

x = 22 / √2

To rationalize the denominator, we multiply by √2 / √2 on the right side:

x = 22√2 / 2

This simplifies to:

x = 11√2

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Please help! either one would be appreciated.
bearhunter [10]
#2 part b. the equation is 100+3x+2x=180 and part c. is 3x=48 and 2x=32
5 0
3 years ago
Read 2 more answers
Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)? ​
timofeeve [1]

Answer:

π/8 radians

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION

In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1 12 of a circle. Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 1:45 p.m. (on the same day)?

SOLUTION

✓If the minute hand on a clock moves through complete circle in 1 hour, then it means that it goes through a circle and angle of circle in radians is 2π.

Between 1:00 p.m. and 1:45pm in the same day we have 45 minutes i.e (1.45 pm -1pm)

Within the 1hour minutes, the hand can move with complete cycle of 2π radians

Then At time t= 45minutes

Angle through the circle at 45 minutes= 45/60 ×2π radians

= 3π/2 radians

And if the hour hand goes through a complete cycle 1/12 as told in the question we have 1/2 × 2π radians

For t=45 minutes

Then 1/12 × 2π ×45/60

= π/8 radians

Hence, the minute hand and the hour hand move π/8 radians between 1:00 p.m. and 1:45 p.m.

5 0
3 years ago
Sin(theta)+cos(theta)=0 what is theta? 20 points someone please help (A-Level pure maths)
Bumek [7]

Answer:

sin(theta) + cos(theta) = 0

sin(theta) = -cos(theta)

sin(theta)/cos(theta) = -1

tan(theta) = -1

theta = - 45° ± k·180°

8 0
3 years ago
Which expression is equivalent to 3x - -3y
svp [43]

Answer:

3x + 3y

Step-by-step explanation:

The two minus signs make a plus sign. Therefore, we replace the minus signs with a plus sign, getting 3x + 3y.

4 0
3 years ago
Read 2 more answers
Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now
Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

<em><u>Solution:</u></em>

Let the present age of Jane be "x"

Let the present age of her sister be "y"

<em><u>Jane is 5 times older than her sister</u></em>

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

3 + y = \frac{1}{4}(3 + x)

Substitute eqn 1 in above equation

3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0
3 years ago
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