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3 years ago

Find the volume of an equilateral prism with height 12cm and triangles of side length 2cm

Mathematics

1 answer:

Nady [450]3 years ago

7 0

Answer:

20.78

Step-by-step explanation:

formula and answer below

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If DA = 6 and MD = 4, what is the length of DK?

Leto [7]

Answer:

DK = 9

Step-by-step explanation:

In triangle AMD,

h² = p² + b²

or, h² = 6² + 4²

or, h²= 36 + 16

so, h² = 52

so, AM² = 52

Take x as reference angle,

cos²x = 16/52

Now,

In triangle, AMK,

Taking x as reference angle,

cos²x = b²/h²

cos²x = AM²/MK²

or, cos²x = 52/MK²

Now,

cos²x = 16/52 = 52/MK²

or,

16/52 = 52/MK²

or, 16MK² = 2704

or, MK² = 2704/16

or, MK² = 169

so, MK = 13

Now,

DK = MK - MD

or, DK = 13 - 4

so, DK = 9

3 0

3 years ago

Use distributive property to rewrite expression -8((-2-3/4)-8)

Stells [14]

Answer:

-86

Step-by-step explanation:

-8((-11/4)-8)

((11/4-8)

8x(-43/4)

-2×43=-86

4 0

3 years ago

What value of x will make ONM similar SRQ by the SAS similarity theorem?

Marta_Voda [28]

Answer:

The correct answer is 25

Step-by-step explanation:

See the attached figure.

SAS similarity theorem mean that when two triangles have corresponding angles are congruent and corresponding sides with identical ratios the triangles are similar.

So, if ΔONM similar ΔSRQ by the SAS similarity theorem

∴∠N = ∠R

And

$\frac{NM}{RQ} =\frac{NO}{RS}$

given that NM = 10 , NO = 8 , QR = x , RS = 20

∴ $\frac{10}{x} =\frac{8}{20}$

∴ $x=\frac{10*20}{8} =25$

So, the value of x will make ONM similar SRQ by the SAS similarity theorem = 25

7 0

3 years ago

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Help with this question!Please

Nimfa-mama [501]

Answer= 60
For both answers X= 60

3 0

3 years ago

Read 2 more answers

26 over 28- 13 over 28

kkurt [141]

Answer:

13/28 (13 over 28)

Step-by-step explanation:

26/28 - 13/28 = 13/28 and since 13 is a prime number it can't be simplified

7 0

3 years ago

Read 2 more answers