Answer:
16. 30 * (30+12)/4*(L)*20
17. Volume = 6300 * Length of rectangular prism
Step-by-step explanation:
The width of a rectangular prism is <u>30 cm</u>. This is <u>12 more than one-fourth of the length</u>. Find the volume of the prism, given the <u>height is 20 cm</u>.
Let L = length of rectangular prisim W = width and H = height
16.
Volume of a rectangular prism is width * length * height
30 * (30+12)/4*(L)*20
17.
= 30 * (30+12)1/4(L)*20
= 30 * (42/4)*L * 20
= 600 * 10.5 * L
= 6300 * L
Volume = 6300 * Length of rectangular prism
Answer:
- cos(A) = 3/5
- cos(B) = 0
- cos(C) = 4/5
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between the cosine of an angle and the sides of the triangle.
Cos = Adjacent/Hypotenuse
__
<h3>Angle A</h3>
In the given triangle, the hypotenuse is AC. The side adjacent to angle A is AB, so its cosine is ...
cos(A) = AB/AC
cos(A) = 3/5
__
<h3>Angle B</h3>
The right angle in the triangle is angle B. The cosine of a right angle is 0.
cos(B) = 0
__
<h3>Angle C</h3>
The side adjacent to angle C is CB, so its cosine is ...
cos(C) = CB/AC
cos(C) = 4/5
Answer:
The graph of a linear equation is a straight line. The "solution" to a system of two linear equations is the point where the two lines cross. If the two lines are parallel, they never cross; hence parallel lines have no solution. Two lines are parallel if they have the same slope (the m value in y = mx+b). One of your equations is y = -2x + (you left the y-intercept out). The slope is -2. So any line with a slope of m = -2 will be parallel to this line and will not cross it. The second line also needs a different value of b, the y-intercept. Otherwise it is the same line and every point is a solution. So if your equation is:
y = -2x + 1
Then any equation of the form y = -2x + b, b≠1 will create a system with no solution. Hence the values of m and b are m = -2, b ≠ 1.
Answer:
3/4 or 6/8
Step-by-step explanation:
6/8 when simplified is 3/4. That is the probability over the total.
Answer:
yes
Step-by-step explanation: