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goblinko [34]
3 years ago
10

find the area of the figure. all angles in the figure are right angles. please check this answer asap! thank you so much! ​

Mathematics
2 answers:
MissTica3 years ago
8 0

Answer:

57

Step-by-step explanation:

kifflom [539]3 years ago
8 0
<h2>Answer:</h2>

The area of the figure is: 57 mm²

<h2>Step-by-step explanation:</h2>

The area of figure is the sum of the area of rectangle (with dimensions 9 mm × 5 mm) and the second rectangle ( with dimensions 3 mm × 4 mm )

We know that the area of rectangle with dimensions a×b is ab square units.

Hence,

The area of rectangle with dimensions 9 mm×5 mm is: 45 mm²

and the area of rectangle with dimensions 3 mm×4 mm is: 12 mm²

Hence, the total area of figure is:

    45+12= 57 mm²

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The storage box for a flag is in the shape of a triangular prism. What is the surface area of the box?
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*see attachment for the diagram of the triangular prism box

Answer:

528.8 in.²

Step-by-step explanation:

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BA = ½*24.5*12 = 147 in.²

Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.

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marishachu [46]

Answer:

(A) \boxed{\bold{y=\frac{3}{7}x+\frac{2}{7}}}

(B) \boxed{\bold{2 \ = \ \frac{3}{7} * \ 4 \ + \ \frac{2}{7}  }}

Explanation:

(A) Slope: y = mx + b

m = 3/7

b = 2/7

Slope = \bold{\frac{y_2-y_1}{x_2-x_1}}

\bold{\left(x_1,\:y_1\right)=\left(-3,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:2\right)}

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Y intercept

\bold{y=\frac{3}{7}x+b}

Plug in \bold{\left(-3,\:-1\right)\mathrm{:\:}\quad \:x=-3,\:y=-1}

\bold{-1=\frac{3}{7}\left(-3\right)+b}

Isolate B

\bold{-1=\frac{3}{7}\left(-3\right)+b}

b = \bold{\frac{2}{7} }

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