Answer: UNIT RATE 1
Step-by-step explanation: :7 days a week, your getting 6eggs a day. the equation for unit rate is just x/y so 7/1-6 thats going to give you a unit rate of 1
Ok so BFD is a 90 degree angle. So you know you have 43 in one of the spaces so that means all you have to do is take 90 and minus 43 which is 47.
Y=5^x when x is 2.
y=5^2
y=25
Hope this helps!
So we want to find the surface area of this pyramid. Finding the surface area of a 3D shape is essentially finding the area of all its sides and adding them together.
What we're going to have to do here is find the area of the base of the pyramid, which is basically a square, and find the area of all four sides of the pyramid, which are triangles.
Formula for area of a square: length × width
Formula for area of a triangle: (base × height) ÷ 2
First we will find the area of the base:
l × w = A
(Write out formula)
8 × 8 =
(Input values)
A = 64 m^2 (square meters or meters squared)
(We have our answer, dont forgot to write your units.)
So we've figured out the area of the base. Now onto the triangles:
(b×h) ÷ 2 = A
(Write out formula)
(8 × 6) ÷ 2 =
(Input values)
48 ÷ 2 =
(Use PEMDAS to solve this correctly. We did whatever was in the parenthesis first, which was multiplication.)
A = 24m^2 (square meters or meters squared)
(We have our answer.)
Now we've found the area of the base of the pyramid and one of the sides of the pyramid, but we're almost done! There's four sides to the pyramid, they're all the same. So since we found the area for one, we can multiply that by 4 to find the area of all sides added together:
24 × 4
(area of a side × total sides)
= 96m^2
All that's left is adding the 96 to the area of the base to get our total surface area of the pyramid:
96 + 64 = 160
The surface area of the pyramid is 160m^2(square meters or meters squared)
(Hope this helps :) )
<span>1) Expression given: 20a+15ab+24b
</span>
2) Greates common factor GFC:
i) Coefficients:
20 = 2² × 5 × 1
15 = 3 × 5 × 1
24 = 2³ × 8 × 1
GCF = common numbers raised to the lower power = 1.
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ii) Letters:
a
ab
b
Since, none letter is in the three terms, then there is not common letter as GFC.
iii) Conclusion the GCF is 1.
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3) Let's see every option of the list:
</span><span>
</span><span>
</span><span>i) The factors common to 20a and 15ab are 1, 5, a, and b.
</span>
FALSE: becasue b is not in 20a.
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ii) The factors common to 20a and 15ab are 1, 5, and a.
</span>
TRUE: 1, 5, and a are in contained in both terms.
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</span><span>iii) The factors common to 15ab and 24b are 1, 3, a, and b.
</span>
FALSE: a is not in 24b
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iv) The factors common to 15ab and 24b are 1, 3, and b.
</span>
TRUE: 1, 3, and b are contained in both terms.
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v) The factors common to 20a and 24b are 1, 2, 4, a, and b.
</span>
FALSE: a is not in 24b and b is not in 20a.
<span /><span /><span>
</span><span>vi) The factors common to 20a and 24b are 1, 2, and 4.
</span>
TRUE: 1, 2, and 4 are contained in both terms.
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vii) The GCF of the expression is ab.
</span>
FALSE: as seen above ab is not a common factor.
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viii) The GCF of the expression is 1
</span>
TRUE: it was proved above.
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