Answer:
The volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.
Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'
V = Ah' where h = height of prism = 18.1 cm
So, V = bhh'/2
Substituting the values of the variables into the equation for V, we have
V = bhh'/2
V = 28 cm × 22.4 cm × 18.1 cm/2
V = 14 cm × 22.4 cm × 18.1 cm
V = 5676.16 cm³
So, the volume of the triangular prism is 5676.16 cm³
The expression that can be used to represent the number of pears that can be bought with d dollars is d(c/5)
<h3>How many pears can be bought with d dollars?</h3>
The first step is to determine the price of one pear. This can be determined by dividing c cents by 5 pears.
Cost of one pear = c/d
The second step is to multiply the cost of one pear by d dollars: d(c/5)
To learn more about division, please check: brainly.com/question/13281206
So,
1/4(3c + 5) + -1/2(2c + 3) = 1/2
First, we distribute to get rid of the parentheses. (PEMDAS)
3/4c + 1 1/4 - c - 1 1/2 = 1/2
Now, we collect like terms.
-1/4c - 1/4 = 1/2
Add 1/4 to both sides.
-1/4c = 3/4
Now, multiply by the reciprocal (-4/1).
c = -3
Check your answer.
1/4(3[-3] + 5) + -1/2(2[-3] + 3) = 1/2
1/4(-9 + 5) + -1/2(-6 + 3) = 1/2
-2 1/4 + 1 1/4 + 3 - 1 1/2 = 1/2
-1 + 1 1/12 = 1/2
1/2 = 1/2
ANSWER
y=x+5
EXPLANATION
We can observe the following pattern among the x and y-values.
9=4+5
12=7+5
18=13+5
22=17+5
24=19+5
Hence, in general, the function rule is
y=x +5
Answer:
A
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Vertex: (2,1)(2,1)
Focus: (2,54)(2,54)
Axis of Symmetry: x=2
Hope it helped :)
