Answer:
c=√74
Step-by-step explanation:
h=c
p=5
b=7
Using pythogorean theorem,
h^2=p^2+b^2
c=√(7^2+5^2)
c=√(49+25)
c=√74
OK for number 3is 70because you add the number that they give you and then subtract 36 106 and you get your answer
Answer:
0.9958
Step-by-step explanation:
P(being correct) = 1/4 = 0.25
Hence, p = 0.25
n = 19
P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
However, to save computation time, we could use a calculator :
Using a calculator,
P(x ≥ 1) = 0.99577
P(x ≥ 1) = 0.9958
Answer:
(3, 50) and (14,303)
Step-by-step explanation:
Given the system of equations;
y=23x–19 ....1
x²–y= – 6x–23 ...2
Substitute 1 into 2;
x²–(23x-19)= – 6x–23
x²–23x+19= – 6x–23 .
x²-23x + 6x + 19 + 23 = 0
x² - 17x + 42 = 0
Factorize;
x² - 14x - 3x + 42 = 0
x(x-14)-3(x-14) = 0
(x-3)(x-14) = 0
x = 3 and 14
If x = 3
y = 23(3) - 19
y = 69-19
y = 50
If x = 14
y = 23(14) - 19
y = 322-19
y = 303
Hence the coordinate solutions are (3, 50) and (14,303)
Step-by-step explanation:
the area of a triangle is
baseline × height / 2
the baseline (where the height hits at a 90° angle) is 4 m.
the height is 3.7 m.
so, the area is
4 × 3.7 / 2 = 2 × 3.7 = 7.4 m²
