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astra-53 [7]
3 years ago
9

What is the area of triangle DEF

Mathematics
1 answer:
kolezko [41]3 years ago
3 0

Answer:

76.5 cm²

Step-by-step explanation:

Given the triangles are similar , then

ratio of sides = a : b , so

ratio of areas = a² : b²

Here ratio of sides = 9 : 13.5 = 2 : 3

ratio of areas = 2² : 3² = 4 : 9

let x be the area of Δ DEF and using proportion

\frac{4}{34} = \frac{9}{x} ( cross- multiply )

4x = 306 ( divide both sides by 4 )

x = 76.5

The area of Δ DEF = 76.5 cm²

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Marrrta [24]

Answer:

non-linear

Step-by-step explanation:

it is nonlinear because if the numbers go up and then down then its not a straight line. therefore its not linear.

4 0
3 years ago
Belinda builds a rectangular prism that is 2 cubes​ long, 3 cubes​ wide, and 2 cubes tall. Each dimension of​ April's rectangula
zepelin [54]

Answer:

96 cubes vol.

Step-by-step explanation:

the volume of Belinda's prism =

2×3×2 = 12 cubes vol.

Each dimension of April's rectangular prism is twice as many cubes as Belinda's prism.

the volume of April's prism =

(2×2)×(2×3)×(2×2)= 4×6×4= 96 cubes vol.

so,

the volume of April's prism = (2)³ times the volume of Belinda's prism

4 0
2 years ago
Angus Cut His Neighbors' Lawns For The Summer. By The End, He Had $325 In His Lawn-cutting Bank Account And He Paid A Total $75
rodikova [14]

Answer:

C. N = 400 / 10

Step-by-step explanation:

Lawn-cutting Bank Account = $325

Amount paid for gas = $75

Total amount earned = Lawn-cutting Bank Account + Amount paid for gas

= $325 + $75

= $400

Amount earned per every lawn he mowed = $10

How Many Lawns Did He mow?

Let N = number of lawns he mowed

N = Total amount earned / Amount earned per every lawn he mowed

N = 400 / 10

N = 40 lawns

5 0
2 years ago
HELP I need help.<br> The winner will have 3035 points but for now, 100 points.
OLga [1]

Answer:

$6960

Step-by-step explanation:

p is not the principle. It is the principal.

I = prt

p = $6000

r = 8% = 0.08

t = 2

I = ($6000)(0.08)(2)

I = $960

Total amount after 2 years = principal + interest

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Total amount = $6960

8 0
2 years ago
Read 2 more answers
Plsssss helps 50 points
lutik1710 [3]

Here's the solution,

volume of cylinder :

=》

\pi  r {}^{2} h

where,

  • r = radius
  • h = height

now, let's solve

=》

3.14 \times 7 \times 7 \times 13

=》

2000.18

So, volume = 2000.2 cm³

3 0
3 years ago
Read 2 more answers
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