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Viefleur [7K]
2 years ago
12

Calculate the area of a triangle with a base of 6 cm and a height of 12 cm

Mathematics
2 answers:
Alex_Xolod [135]2 years ago
7 0

Answer:

36

Step-by-step explanation:

12 x 6 = 72 / 2 = 36 because the area of a triangle is base times height divided by 2

love history [14]2 years ago
6 0
Answer: 36 cm^2

Step-by-Step Explanation:

Base (b) = 6 cm
Height (h) = 12 cm

Area = 1/2 * b * h

Therefore,
= 1/2 * b * h
= 1/2 * 6 * 12
= 1 * 3 * 12
= 3 * 12
= 36

Area = 36 cm^2
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Is y=7.5x a proportional relationship and why
DerKrebs [107]
Direct Proportion functions look like this:

y=kx

'k' is the constant of proportionality and in this case its 7.5 or 15/2.

--------------------------------------------

When x=1, y=7.5
When x=2, y=15
When x=3, y=22.5

Therefore y is directly proportional to x.

--------------------------------------

DIRECT PROPORTION EXPLAINED:

Say a football costs £7.50. If you buy one football you'll have to pay out £7.50, but if you you buy two footballs you'll have to pay out £15.00. Therefore the cost of the football(s) is directly proportional to the amount of footballs you buy. C=cost, f=football(s) and C<span>∝f, therefore C=kf, but as k=7.5, C=7.5f.

INVERSE PROPORTION EXPLAINED:

If it were to take 8 hours for one bricklayer to set up a wall, how long would it take for two bricklayers to set up a wall? The answer in this case would be 4 hours.

T=time to set up a wall
b=bricklayer(s)

Therefore T</span><span>∝1/b, and T=k/b. In this case k=8 so T=8/b.

When b=1, T=8.
When b=2, T=4.

We'd say that the time it would take for bricklayers to set up a wall would be inversely proportional to the amount of bricklayers available.</span>
4 0
3 years ago
Which expressions is equivalent to (x+2)(3x-3)
max2010maxim [7]

Answer:

Step-by-step explanation:

(x+2)(3x-3)

= 3x^2 -3x + 6x - 6

= 3x^2 + 3x - 6

6 0
3 years ago
What is the value of the expression [5 × (3 + 6)] – 8?
Sergeeva-Olga [200]
The answer is 37. Hope this helps!
5 0
3 years ago
Read 2 more answers
Evaluate 3^-3 x 3^4 x 3 x 3^-5 Answers<br> a. -27<br> b. 1/27<br> c. -81<br> d. 1/81
Sauron [17]
The answer is b. 1/27
3^-3=1/27 and 3^4=81. 1/27×81=3. 3×3=9. 3^-5=1/243. 1/243×9= 1/27. The answer is b. 1/27.
8 0
3 years ago
A rectangular box has the dimensions shown in the diagram. The volume of the box is given by the function V(x) = x3 – 4x, where
marta [7]

Answer:

Height =3

Step-by-step explanation:

Given

Length = x + 2

Width = x - 2

Height = x

Volume = 15

Required

Find the height

The volume is calculated as thus:

Volume = Length * Width * Height

This gives

15 = (x + 2) * (x - 2) * x

Apply difference of two squares

15 =(x^2 - 4 ) * x

15 = x^3 - 4x

Subtract 15 from both sides

x^3 - 4x - 15 = 0

Using a calculator to factorize, we have:

(x-3)(x^2+3x+5) = 0

Split

x - 3 = 0 or x^2 + 3x + 5 = 0

x = 3 or  x^2 + 3x + 5 = 0

x has complex roots for x^2 + 3x + 5 = 0

Hence:

x = 3

Recall that:

Height = x

Height =3

3 0
3 years ago
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