Answer:
342 red apples
Step-by-step explanation:
42+87+29=158
500-158=342
Answer:On a scale drawing of a steel I-beam , the height of the beam is 2 1/2 in. The scale is 1/4 in = 6 feet. What is the actual height of the I-beam. \(12\)
Step-by-step explanation:
<span>The <u>correct answers</u> are:
x=-3 and x=-8.
Explanation<span>:
We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.
Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).
The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.
Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.
Solving the first equation:
x+3-3=0-3
x=-3.
Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
Answer:
See attached picture.
Step-by-step explanation:
Answer:
Area of the figure = 254.5 cm²
Step-by-step explanation:
<u><em>Area of rectangle = Length × Width</em></u>
<u><em>Area of triangle = 1/2(base × Height)</em></u>
<em>Dividing the figure into parts for convenience</em>
So,
Rectangle 1 (the uppermost):
4 × 6 = 24 cm²
Rectangle 2 (below rectangle 1):
15 × 8 = 120 cm²
Rectangle 3 (with rectangle 2):
11 × 4 = 44 cm²
Triangle 1 :
1/2(7 × 19) = 133/2 = 66.5 cm²
<em>Now adding up all to get the area of the figure:</em>
Area of the figure = 24 + 120 + 44 + 66.5
Area of the figure = 254.5 cm²
