MATHEMATICS HIGH SCHOOL

The triangular prism belowhas a base area of 9 cm and
a height of 23 cm. What is
the volume of the prism?

Answers

Answer 1

Answer:

Answer:

The volume of the rectangular prism is 207cm³

Step-by-step explanation:

To calculate the volume of a triangular prism we have to use the following formula:

a = area = 9cm²

v = volume

h = height = 23cm

v = a * h

we replace the values that we know

v = 9cm² * 23cm

v = 207cm³

The volume of the rectangular prism is 207cm³

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A man moves to lie on an island in Europe. He has a choice of two water companies: Manana Water: No standing charge. Pay £0.06 per m3 of water used.
Channel Water: Standing Charge: £30 every 3 months
£0.02 per m3 of water used
Special offer: 20% off your first bill.

he estimates that he uses 700m3 of water every 3 months. which company should he choose?

Answers

Manana would be the best choice in the long run—see all my work below.

Regular prices:

Manana: $700*.06=42$ £/3mos
Channel: $(700*.02)+30=44$ £/3mos

However, with the 20% discount on Channel Water, the first three months would look like:

(NOTE: This may be an overly complicated equation, but it's how it works out in my head.)

$((((700)/(3))2*.02)+30)-(((700*.02+30)/(100))20)=30.53$ £ for the first three months.

Manana:
$4*42=168$ £/year

Channel:
$(2.75*44)+30.53=151.53$ £ for the first year, and $4*44=176$ £/year afterwards.

Which of the following comparisons is false 4 liters=1 gallon 1 foot=1 meter 25 grams 1 ounce 10 kilometers = 9 miles

Answers

1 foot does not equal 1 metre

1 fool = 1 meter is incorrect

a house plan is drawn to a scale of 1 cm=2 metres.What is the length of a window 1.5cm long on the plan?

Answers

1cm=2m therefore 1.5cm=3 meters because .5 is half of 1 and 1 is half of 2 enjoy!=)

Because 1 cm _ _ _ 2 metres ; 0.5 cm _ _ _ 1 metres ;
1.5 cm _ _ _ 3 metres.

Round 71195.4277573 to 2 decimal places.

Answers

71195.4277573 will round up as71195.43 up to two decimal places.

How do round any digit?

To round up or down of tens place then we need to look at the unit place if it is less than 5 then we need to round down and if it is greater than 5 then we need to round up of tens digit.

In order to round to a hundred, we need to look at the tens digit if it is less than 5 then we round down and if it is 5 or greater than 5 then we will round up.

For example round of 346 will, be350 and round of 344 will be 340

Given that,

71195.4277573

Now if we want to round upto 2 decimal places then we need to look at the third decimal place.

If it is greater than 5 then we will round it up and if it is less than 5 then we will round it down.

Since in 71195.4277573, it is 7 so it will round up.

So,

71195.4277573 → 71195.43

Hence "71195.4277573 will round up as71195.43 up to two decimal places".

To learn more about rounding a digit,

brainly.com/question/116595

#SPJ6

It would be rounded to 71195.43

Choose the abbreviation of the postulate or theorem that supports the conclusion that the triangles are congruent.Given:
∠C, ∠F are rt. ∠'s; AC = DF; ∠B = ∠E

HL
LL
HA
LA

Answers

∠C and ∠F are right angles. So, the triangles are right triangles.

AC = DF are the short legs of both triangles.

∠B = ∠E.

In this scenario, the postulate is ASA (Angle-Side-Angle)

The remaining sides that must be noted to prove that the triangles are congruent are the long legs and hypotenuse.

CB = FE can be LL for congruence where tt states that if the legs of one right triangle are congruent to the legs of another right triangle, then the triangles are congruent.

Nameof postulate or theorem that supports the conclusion that the triangles are congruent is Angle-side-Angle (ASA).

Given information:

$\angle C,\; \angle F$ are right triangle, $AC=DF;\angle B=\angle E$