Answer:
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
4
1
+
8
=
0
5x^{2}-41x+8=0
5x2−41x+8=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
4
1
b={\color{#e8710a}{-41}}
b=−41
=
8
c={\color{#129eaf}{8}}
c=8
=
−
(
−
4
1
)
±
(
−
4
1
)
2
−
4
⋅
5
⋅
8
√
2
⋅
5
2
Simplify
3
Separate the equations
4
Solve
Solution
=
8
=
1
5
Answer:
$ 5,500
Step-by-step explanation:
Simple, 1 kg = 1000 grams, so, 250 grams is a quarter, just divide the $22,000 by 4 = $ 5,500
Answer:
1/10
Step-by-step explanation:
There are 4 prime numbers from 1 to 10 (2,3,5,7). This makes the probability of getting a prime number as 4/10 = 2/5.
The probability of getting one tail is 1/2, making the proability of getting 2 to be (1/2)^2 = 1/4.
Multiply both probabilities together, and you get 2/5 * 1/4 = 1/10
Answer:

Step-by-step explanation:
Step 1
Find the value of x
we know that
In an inscribed quadrilateral the opposites angles are supplementary
so
In this problem

substitute the values and solve for x




step 2
Find the measure of angle B

substitute the value of x

Answer:
28 feet
Step-by-step explanation:
3.5 x 8 = 28
trust me