Acute, Meaning less than 90 degrees.
Answer:
36.5 hours
Step-by-step explanation:
It is 36.5 because 7.3x5 would equal 36.5 which tells you that Salma worked 36.5 hours in the last five days.
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
Taking the same test right now....I think the answer is 4.5. Hope that helps!
Answer:
8.64%
Step-by-step explanation:
Write it as a decimal
7/81 = 0.0864
0.0864 is the decimal representation for 7/81
For Percentage Conversion :
step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction
Fraction = 0.0864/1
step 2 multiply 100 to both numerator & denominator
(0.0864 x 100)/(1 x 100) = 8.64/100
8.64% is the percentage representation for 7/81
