Find the value of x. Write your answer in simplest form.
x=
Answers
The value of x is 7 cm, as it's a 45-45-90 triangle, also known as an isosceles right triangle, where sides opposite the 45° angles are equal in length.
In this case, we're dealing with a 45° angle, which is part of a 45-45-90 special triangle, often referred to as an isosceles right triangle.
We know that in a 45-45-90 triangle, the sides are in the ratio of 1:1:√2.
Knowing this, we can easily find the length of the unknown side (BC), which we dubbed as 'x'.
In a triangle with a 45° angle and hypotenuse of 7 cm (side AC), the length of the other side (BC) would be the same as the side adjacent to the 45° angle because it is an isosceles triangle.
Therefore, 'x' in this instance is also 7 cm.
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A shortcut for a 45 45 90 right triangle is that the hypotenuse is √2 * short leg.
So you do 7 * √2
Which would equal to 7 √2 or 9.89949493661167
Related Questions
Four less than the quotient of a number and 4 is 14. What is the number? Let n be the unknown number.
Evaluate.2.3+3.7-2 --------------------- 27.5-4*5.625 My guess, via using a calculator: 4 ---------- 132
How many milligrams are in one kilogram
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Answers
A
B
C
OR
D
Answers
Answer:
36 cm
Step-by-step explanation:
P = 2l + 2w
Plug in
P = 2(14) + 2 (4)
P = 28 + 8
P = 36
Answer:
D
Step-by-step explanation:
perimeter = 2l + 2w ← given
To calculate the perimeter substitute l = 14 and w = 4 into the formula
perimeter = (2 × 14 ) + (2 × 4 ) = 28 + 8 = 36 cm → D
Answers
Answer:
(0,1) and (-2,4)
Step-by-step explanation:
Reflection over y axis means that the x axis coordinate will be negative as it will now have shifted to the other side of the axis. Since (0,1) is on the y axis it will remain in it's position not changing. (2,4) will change to (-2,4) as it is now at the other side (negative-x side) of the y axis. I hope I helped
Answers
It would take 21 years for the population of Boomtown to reach 1 million people.
An exponential growth is in the form:
y = abˣ;
where y, x are variables, a is the initial value of y and b is > 1
Let y represent the population of Boomtown after x years.
Given that initially there is a population of 475,000, hence a = 475000. Also, it is increasing at a rate of 3.75%, hence b = 100% + 3.75% = 1.0375
Hence:
y = 475000(1.0375)ˣ
For a population of 1000000:
1000000 =475000(1.0375)ˣ
2.1 = (1.0375)ˣ
xln(1.0375) = ln(2.1)
x = 21 years
Hence it would take 21 years for the population of Boomtown to reach 1 million people.
Find out more at: brainly.com/question/19455261
After 20.22 years the population exceed 1 million people, if the population of Boomtown is 475,000 and is increasing at a rate of 3.75% each year.
Step-by-step explanation:
The given is,
Population of Boomtown is 475,000
Increasing at a rate of 3.75% each year
After few years population exceed 1 million people
Step:1
Formula to calculate population with a given rate of increase,
..............................(1)
Where,
F - Population after t years
P - Population at initial
r - Rate of increase
t - No.of years
From the given values,
F = 1000000
P = 475,000
r = 3.75%
Equation (1) becomes,
Take log on both sides,
Substitute log values,
= 20.2216
t ≅ 20.222 years
Result:
After 20.22 years the population exceed 1 million people, if the population of Boomtown is 475,000 and is increasing at a rate of 3.75% each year.
ASAP
Answers
Answers
So, the answer to this problem is x = 9/2 or x = 4.5.
So you need to get rid of parentheses, which is that you have to distribute.
5+2x-2= 12
-5 -5 (Inverse)
2x-2= 7
+2 +2 (Another inverse)
2x= 9
2 2 (Divide)
x= 4.5
----------------------
Check
5+2(4.5-1)=12
5+2(3.5)=12
5+7=12
12=12