it acost andrea $50 per day to rent a moving truck and an additional $3 every mile that she drove it if andrea
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What type of line would you mark the center of a two-way road
After 6 years, Federico earned $1485 in simple interest from a cd into which he initially deposited $ 9000. What was the annual interest rate of the cd?A. 2.75% B.5.5% C. 8.25 D.11%
How do you write 72.5% as a fraction in simplest form
Choose the option that best completes the statement below. In finding the number of permutations for a given number of items, _____. A) the number of permutations is limited by the number of items which are alike.B) it doesn’t matter if some of them are indistinguishable .C) the number of permutations is determined by the number of items that don’t repeat.D) the number of permutations isn’t dependent on the items that repeat.
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opposite side to angle 60º=b
hypotenuse=a
cos 60º= adjacent side / hypotenuse
cos 60º=(2/3) / a
a=(2/3) / cos 60º=(2/3) / (1/2)=4/3
tan 60º= opposite side / adjacent side
tan 60º=b / (2/3)
b=(2/3)*tan 60º=(2/3)* √3=2√3 /3
Answer:
a=4/3
b=2√3 /3
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Answer:
Added 19 to each side
Step-by-step explanation:
15x-19=4x+11
Add 19 to each side
5x-19+19=4x+11+19
5x = 4x+30
Answer:
added 19 and 11
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To solve the quadratic equation 4x^2 + 20x = -29 using the quadratic formula, we can first rearrange the equation to bring all terms to one side:
4x^2 + 20x + 29 = 0
Now we can identify the coefficients a = 4, b = 20, and c = 29 in the general quadratic equation ax^2 + bx + c = 0. Applying the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values for a, b, and c into the quadratic formula:
x = (-(20) ± √((20)^2 - 4(4)(29))) / (2(4))
Simplifying further:
x = (-20 ± √(400 - 464)) / 8
x = (-20 ± √(-64)) / 8
x = (-20 ± 8i) / 8
Now, we can simplify the expression:
x = -20/8 ± (8i)/8
x = -5/2 ± i
Therefore, the roots of the given quadratic equation are:
x = -5/2 + i
x = -5/2 - i
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