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baherus [9]
3 years ago
12

Find the volume of the solid. 26. 13 16 12

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

Answer:

480 units³

Step-by-step explanation:

Volume of the solid = volume of triangular prism

Volume = base area × height of prism

Base area = ½×b×h

b = 12

h = 5

Base area = ½×12×5 = 30

Height of prism = 16

Volume of the solid = 30 × 16 = 480 units³

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In a parallelogram ABCD point K belongs to diagonal BD so that BK:DK=1:4. If the extension of AK meets BC at point E, what is th
olya-2409 [2.1K]

Answer:

\frac{BE}{EC} =\frac{1}{3}

Step-by-step explanation:

In the diagram below we have

ABCD is a parallelogram. K is the point on diagonal BD, such that

\frac{BK}{CK} =\frac{1}{4}

And AK meets BC at E

now in Δ AKD and Δ BKE

∠AKD =∠BKE                ( vertically opposite angles are equal)

since BC ║ AD and BD is transversal

∠ADK = ∠KBE     ( alternate interior angles are equal )

By angle angle (AA) similarity theorem

Δ ADK  and Δ EBK are similar

so we have

\frac{AD}{BE} =\frac{DK}{BK}

\frac{AD}{BE} =\frac{4}{1}

\frac{BC}{BE}=\frac{4}{1}     ( ABCD is parallelogram so AD=BC)

\frac{BE+EC}{BE}=\frac{4}{1}         ( BC= BE+EC)

\frac{BE}{BE} +\frac{EC}{BE}=\frac{4}{1}

1+\frac{EC}{BE}=4

\frac{EC}{BE}=3  ( subtracting 1 from both side )

\frac{EC}{BE}=\frac{3}{1}

taking reciprocal both side

\frac{BE}{EC} =\frac{1}{3}


8 0
4 years ago
Which answer choice contains all the factors of 10
babunello [35]
OK so the factor of 10 is 1 times 10 and 5 times 2
3 0
3 years ago
An equation is shown.<br> f(w) = 2<br> +6<br> Find f(-16).
Nikitich [7]

Answer: f(-16) = -26

Step-by-step explanation: Let's substitute:

f(w) = 2w + 6 --> f(-16) = -32 + 6 =

f(-16) = -26
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2 years ago
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The answer would be 65

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3 years ago
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