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3 years ago

Diagnostic

Mathematics

1 answer:

seraphim [82]3 years ago

3 0

Answer:

In 26 seconds to complete a transaction, 2 products are being purchased.

Step-by-step explanation:

1 item = 9 seconds

Time taken in all to check out = 8 seconds

Time taken to shop = 26 seconds

Now as check out process takes 8 seconds, so the

Time left to ACTUALLY SHOP = Total Time - Time Used to check out

= 26 seconds = 8 seconds = 18 seconds

Shopping of 1 item = 8 seconds

Shopping of 2 items = 2 x ( Time taken in 1 item) = 2 x 9 = 18 seconds

So, in 18 seconds, 2 clothing item can be selected.

Hence,in 26 seconds to complete a transaction, 2 products are being purchased.

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When Θ = 5 pi over 6, what are the reference angle and the sign values for sine, cosine, and tangent? Θ' = negative pi over 6; s

timama [110]

Answer:

Option C is correct.

Step-by-step explanation:

$\theta=\frac{5\pi }{6}$

We need to find reference angle and signs of sinФ, cosФ and tanФ

We know that $\theta=\frac{5\pi }{6}radians$ is equal to 150°

and 150° is in 2nd quadrant.

So, Ф is in 2nd quadrant.

And In 2nd quadrant sine is positive, while cos and tan are negative

The reference angle Ф' is found by: π - Ф

=> Ф = 5π/6

so, Reference angle Ф' = π - 5π/6

Ф' = 6π - 5π/6

Ф' = π/6

So, Option C Θ' = pi over 6; sine is positive, cosine and tangent are negative is correct.

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4 years ago

20 equals 5 times negative 3 plus x

kotykmax [81]

Answer:

20=5*-3+x or 20=-15+x or 35=x

8 0

4 years ago

Draw an angle of negative pie over three in<br> Standard position.

AVprozaik [17]

Check the picture below.

recall that negative angles go "clockwise".

7 0

4 years ago

Simplify the variable expression below as much as possible.<br> 3x + 2y + 5-3

agasfer [191]

Answer:

3x+2y+2=0

3x=-2y-2

x=-(2y+2)/3

Step-by-step explanation:

8 0

3 years ago

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Semmy [17]

Answer:

15,872 mm³

Step-by-step explanation:

given:

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find:

the exact volume of the solid

solution:

volume of square base pyramid = (base area)² * h/3

where total h = 12 cm

height of top pyramid (ht)= 6 cm

height of bottom pyramid (hb) = 6 cm

bottom volume = total volume - the volume on top

so,

total volume = 1/3 (base area)² h

= 1/3 (8*8)² * 12

= 16,384 mm³

volume on top = 1/3 (top base area)² h

= 1/3 (4*4)² * 6

= 512 mm³

finally: get the bottom volume:

bottom volume = total volume - the volume on top

bot. vol = 16,384 mm³ - 512 mm³

= 15,872 mm³

therefore,

the volume of the cut pyramid base = 15,872 mm³

5 0

3 years ago

Read 2 more answers