Answer:
(2, 0)
Step-by-step explanation:
Given the simultaneous equation
2x-y = 4
3x+y = 6
Add both equation
2x+3x = 4 + 6
5x = 10
x = 10/5
x = 2
Substitute x = 2 into equation 1
From1 ;
2x-y = 4
2(2) - y = 4
4 - y = 4
y = 4-4
y = 0
Hence the solution to the system of equation is (2, 0)
Step-by-step explanation:
We only know 1 side, and that is the width of 4. We only have the diagonals at our side. Half of the diagonal is 5. As a result, the diagonal is 10. I want you to imagine a triangle that has a base of 4 and a hypotenuse of 10. Use the Pythagorean Theorem to find b, or the height.
a² + b² = c²
4² + b² = 10²
16 + b² = 100
100 - 16 = 84
b² = 84
b = √84
b ≈ 9.165
Now we know the length of the rectangle, which is about 9.165. Multiply that by 4 to get the area.
9.165 * 4
36 + 0.4 + 0.24 + 0.020
36.4 + 0.24 + 0.02
36.64 + 0.02
36.66 u²
The area of rectangle RSTU is about 36.66 units squared.
Answer:
<h2>3.14159</h2>
Step-by-step explanation:
A) Pi value using circumferences
C = circumference
d= diameter
Formula: C = Pi*d⇒Pi = C/d
Circle A)
Pi = 21.98/7 = 3.14
Circle B)
Pi = 18.84/6= 3.14
B) Using areas
A = area
r = radio = diameter/2
Formula: A = Pi*(r^2 )⇒ Pi = A/(r^2)
Circle A
Pi = 38.465/(3.5)^2= 3.14
Circle B
Pi= 28.26/(3^2)= 3.14
A z score of 0.97 corresponds with a probability of 83.40%
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
From the normal distribution table:
P(z < 0.97) = 0.8340 = 83.40%
A z score of 0.97 corresponds with a probability of 83.40%
Find out more on z score at: brainly.com/question/25638875
