Answer:
4 liters
Step-by-step explanation:
300 × 12 = 3600 ml
3600 + 400 = 4000 ml
1 liters = 1000 ml
liters to milliliters need to × 1000
milliliters to liters need to ÷ 1000
4000 ÷ 1000 = 4 liters
Answer: Choice C) 124 square cm
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Explanation:
Let's calculate the area of the trapezoid shown
b1 and b2 are the parallel bases; h is the height of the 2D trapezoid
b1 = 2
b2 = 5
h = 1.5
A = h*(b1+b2)/2
A = 1.5*(2+5)/2
A = 1.5*7/2
A = 10.5/2
A = 5.25
The area of one 2D trapezoid is 5.25 sq cm
There are two of these trapezoids that form the base faces of the trapezoidal prism. So the total base area is 2*5.25 = 10.5 sq cm
Keep this value (10.5) in mind. We'll use it later.
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Now onto the lateral surface area (LSA)
It turns out that the formula for the LSA is
LSA = p*d
where
p = perimeter of the trapezoid shown
d = depth or height of the 3D trapezoid (I'm not using h as it was used earlier)
This formula works for any polygonal base. It doesn't have to be a trapezoid.
In this case the perimeter is,
p = 1.7+2+2.65+5
p = 11.35
So
LSA = p*d
LSA = 11.35*10
LSA = 113.5
Add this LSA to the base area found earlier
10.5+113.5 = 124
The total surface area is 124 square cm
5 times the sum of a number and 1 would be:
5 • (n+1)
If we factor -1/4 out of that expression it looks like this: -1/4(2x + 5)
In order to do this, we need to divide each term by that -1/4. Then use them in a parenthesis together.
(-1/2x)/(-1/4) = 2x
(-5/4)(-1/4) = 5
So we use them together at (2x + 5)
Answer:
1. 38kg=84lbs.
2. 6 oz.=170 g.
3. 180 gallons= 680 L
4. 29 cubic meters=1024 cubic feet
Step-by-step explanation:
<h3>Lin has a pet German Shepherd that weighs 38 when measured in one unit and 84 when measured in a different unit. Which measurement is in pounds, and which is in kilograms?</h3>
1 kg≈2.20462262lbs.
2.20462262x38≈83.7756596(pounds)
<h3>Elena has a pet parakeet that weighs 6 when measured in one unit and 170 when measured in a different unit. Which measurement is in ounces, and which is in grams?</h3>
1 oz.≈28.3495231 g.
28.3495231x6=170.097139(grams)
<h3>Behind Lin’s house, there is a kiddie pool that holds 180 or 680 units of water, depending on which unit you are using to measure. Which measurement is in gallons, and which is in liters?</h3>
1 gallon≈3.78541178 liters
3.78541178x180≈681.37412(liters)
<h3>Behind Elena’s house there is a portable storage container that holds 29 or 1024 units, depending on which unit you are using to measure. Which measurement is in cubic feet, and which is in cubic meters?</h3>
1 cubic meter≈35.3146667 cubic feet
35.3146667x29≈1024.12533 cubic feet
Hope I helped :)
