Answer:
16m^2 + 72m + 81
Step-by-step explanation:
you expand it, by (9+4m)(9+4m), using distributive property you get
81 + 36m + 36m + 16m^2, simplifying you get the answer
Answer:
<h2><u><em>
6. </em></u></h2><h2><u><em>
a. 11 and 2/3 yds. squared</em></u></h2><h2 /><h2><u><em>
b. Yes, the volume of the shed is 11 and 1/3 yards squared and what she's trying to put into it is only 10 yards squared, if put in properly, it will be able to fit.</em></u></h2><h2 /><h2><u><em>
7. 1,110 in. squared</em></u></h2>
Step-by-step explanation:
6.
a.
(10/3)*(14/9)*(9/4)
= 11 2/3
b.
Yes, because the volume of the shed is about 11.67 yards long, the 10 yards of wood will fit in the shed.
7.
For this one, we have to break it into two pieces.
(I made them into a small box and and big box)
The measurements of the small box are 7*5*6.
The measurements of the big box are 20*5*9.
Using this information, we can make the following equation and solve it quickly.
(7*5*6) + (20*5*9)
(210) + (900)
1,110
Thus, the volume of this box is 1,110 in. ^2
Using the supplementary angles theorem, it is found that the measure of the second angle is of m<2 = 45º.
<h3>What are supplementary angles?</h3>
Two angles are supplementary when the <u>sum of their measures is of 180º</u>.
The Alabama state flag has <u>two lines opposite by the same vertex</u>, hence two angles that are sided are supplementary, hence:
m<1 + m<2 = 180º.
135º + m<2 = 180º.
m<2 = 45º.
The measure of the second angle is of m<2 = 45º.
More can be learned about supplementary angles at brainly.com/question/12919120
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Answer:
The cost of 2 quintal of rice is $10,000.
Step-by-step explanation:
To determine the cost of 2 quintals of rice, knowing that 90 kilos of said product is worth $ 4,500, it is first necessary to establish the equivalence between quintals and kilograms. In this regard, a quintal is equivalent to 100 kilograms, so 2 quintals are equivalent to 200 kilos.
Now, to determine the cost per kilogram of rice, the following calculation is required:
4,500 / 90 = X
50 = X
Therefore, 1 kilogram of rice costs $ 50. Thus, since 200 x 50 equals 10,000, 2 quintals of rice will cost $ 10,000.
Answer:
h ≈ 39 ft
Step-by-step explanation:
When we draw out a picture, we should see that we have to use cos∅ to solve this:
cos31.66° = x/46
46cos31.66° = x
x = 39.1542
