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charle [14.2K]
3 years ago
6

Please help! Crucical to my grade

Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

I would think its D, but not totally sure


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What is the total surface area
Stels [109]

We have two right triangles and three different rectangles.

The formula of an area of a right triangle:

A_T=\dfrac{1}{2}l_1l_2

l₁, l₂ - legs

We have l₁ = 20cm and l₂ = 21cm. Substitute:

A_T=\dfrac{1}{2}(20)(21)=(10)(21)=210\ cm^2

The formula of an area of a rectangle:

A_R=lw

l - length

w - width

We have:

rectangle #1: l = 22cm, w = 29cm

A_{R1}=(22)(29)=638\ cm^2

rectangle #2: l = 22cm, w = 21cm

A_{R2}=(22)(21)=462\ cm^2

rectangle #3: l = 22cm, w = 20cm

A_{R3}=(22)(20)=440\ cm^2

The total Surface Area of the triangular prism:

S.A.=2A_T+A_{R1}+A_{R2}+A_{R3}\\\\S.A.=2\cdot210+638+462+440=1960\ cm^2

3 0
3 years ago
Please Help!!!!
Angelina_Jolie [31]

Answer:

(4,5)

Step-by-step explanation:

The "feasible region" has vertices (0,0), (7,0), (5,4), and (4,5)

P = 5x + 6y

Plug in each vertices in P  and find out which give maximum value

(0,0) => P= 5(0) + 6(0) = 0

(7,0) => P= 5(7) + 6(0) = 35

(5,4) => P= 5(5) + 6(4) = 49

(4,5) => P= 5(4) + 6(5) = 50

We got maximum P=50 for vertex (4,5)

So  the coordinates of the point that has the maximum value is  (4,5)

6 0
3 years ago
HELP PLZ ASPA 100 POINTS WILL GIVE BRAINLIEST!!!
Varvara68 [4.7K]

Step-by-step explanation:

(x10,y-2), reflection over y=1

6 0
2 years ago
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Solve for x.<br><br> 3(2x+2)+x+5=-10
Paul [167]
3(2x+2)+x+5=-10
6x+6+x+5=-10
7x+11=-10
7x=-21
x=-3
8 0
3 years ago
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What is the GCF of 48m5n and 81m2n2?
Lady bird [3.3K]
To find the GCF of the two terms, continuous division must be done.
What can be used to divide both terms such that there is not a remainder?
Start small, let's take 2. It could be a GCF.
Move up higher, say 3. Yes, it can be a GCF.
To see if there might be a greater common factor, divide the constants by 3.
48/3 = 16
81/3 = 27
Upon inspection and contemplation, there is no more common factor between 16 and 27. So, 3 is the GCF.

Moving on, when it comes to variables. The variable with the least exponents is easily the GCF. For the variable m, the GCF is m2 and for n, the GCF is n.

Combining the three, we have the overall GCF = 3m2n
7 0
3 years ago
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