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Bingel [31]
3 years ago
6

Nate is making a picture frame by cutting a small rectangular prism out of a larger rectangular prism. When the project is compl

ete, Nate wants to paint all the surfaces except for the back of the frame.
How much surface area will Nate need to paint?
A. 386
B. 482
C. 514
D. 678

Mathematics
1 answer:
dybincka [34]3 years ago
6 0
Surface area= [15*3*2]+[20*3*2]+[10*3*2]+[14*3*2]+[15*3*2]+[14*2.5*2]

surface area=90+120+60+84+90+70=514 in²

the answer is 514 in²
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What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)
lutik1710 [3]

so, this is a quadratic equation, meaning two solutions, and we have a factored form of it, meaning you can get the solutions by simply zeroing out the f(x).

\bf \stackrel{f(x)}{0}=-(x-3)(x+11)\implies 0=(x-3)(x+11)\implies x= \begin{cases} 3\\ -11 \end{cases} \\\\\\ \boxed{-11}\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}-4\stackrel{\textit{\large 7 units}}{\rule[0.35em]{10em}{0.25pt}}\boxed{3}

so the zeros/solutions are at x = 3 and x = -11, now, bearing in mind the vertex will be half-way between those two, checking the number line, that midpoint will be at x = -4, so the vertex is right there, well, what's f(x) when x = -4?

\bf f(-4)=-(-4-3)(-4+11)\implies f(-4)=7(7)\implies f(-4)=49 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{vertex}{(-4~~,~~49)}~\hfill

7 0
3 years ago
PLEAS3E CHECK MY ANSWER
IRINA_888 [86]
I'd say the correct answer is D bc it's talking about the SAS theorem, excuse me if I'm wrong tho.
4 0
3 years ago
The circle graph shows how the annual budget for a company is divided by the department. If the total annual budget is 15,000,00
Jet001 [13]
Hi if you showed a picture of the circle graph I would be happy to answer your question. 
5 0
3 years ago
12 + 5x &gt; 2 ( 8x - 6 ) - 7x<br><br>x &gt; what number?
Aloiza [94]
12 + 5x > 2(8x - 6) - 7x

12 + 5x > 16x - 12 - 7x

5x - 16x + 7x > -12 - 12

-4x > -24 / : (-4)

x < 6

3 0
3 years ago
Read 2 more answers
. XYZ has vertices X (–5, 2), Y (0, –4), and Z (3, 3). What are the vertices of the image of X’Y’Z’ under the translation (x, y)
Katen [24]

Answer:

X' = (2, -3)

Y' = (7, -9)

Z' = (10, -2)

Step-by-step explanation:

to find the translation of each point substitute the x and y with the the numbers

eg; X ( -5,2) the x is 5 and the y is 2

so -5 + 7 = 2 (the x value)

2 - 5 = -3 ( the y value)

6 0
3 years ago
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