Answer:
Step-by-step explanation:
93 + (68 + 7)= 168
Answer:
19,600 Nm
Step-by-step explanation:
WD = mgh
= 40 × 9.8 × 50
= 19600 Nm
Combining the like terms, the simplified polynomials are given as follows:
a) 4x² - 14x + 17
b) -5x² - 20x + 8
<h3>How are polynomials simplified?</h3>
Polynomials are simplified combining the like terms, that is, adding these numbers with the same variable.
Item a:
4(x - 2)(x + 1) - 5(2x - 5)
Applying the distributive property:
4(x² - x - 2) - 10x + 25
4x² - 4x - 8 - 10x + 25
Combining the like terms:
4x² - 4x - 10x - 8 + 25
4x² - 14x + 17
Item b:
-5(x + 2)² + 28
-5(x² + 4x + 4) + 28
-5x² - 20x - 20 + 28
-5x² - 20x + 8
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Answer:
40 square feet
Step-by-step explanation:
The area of a parallelogram is given by the formula ...
A = bh . . . . . base b, height h
Your figure shows a base length of 10 feet and a height of 4 feet.
The area is ...
A = (10 ft)(4 ft) = 40 ft²
Using proportions, it is found that Felipe needs 23.625 meters of wood to make that many birdhouses.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
To make an amount, he needs 5 1/4 meters = 5.25 meters. How many meters he needs to make 4 1/2 = 4.5 times the amount?
5.25 x 4.5 = 23.625 meters.
Felipe needs 23.625 meters of wood to make that many birdhouses.
More can be learned about proportions at brainly.com/question/24372153
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