First convert the mixed number to a fraction: 1 5/6 = 11/6.
ADC is a straight line.
1 answer:
Applying the triangle sum theorem, the size of ∠BDC = 95°.
<h3>What is the Triangle Sum Theorem?</h3>All three interior angles of any triangle have a sum that equals 180 degrees, based on the triangle sum theorem.
The diagram attached below shows the following:
- m∠BAD = 55°
- m∠BCD = 25°
- m∠ABD = 2x°
- m∠CBD = 3x°
Thus:
55 + 2x + 3x + 25 = 180 (triangle sum theorem).
- Add like terms
80 + 5x = 180
5x = 180 - 80
5x = 100
x = 20
Therefore,
m∠BDC = 180 - (3x + 25) (triangle sum theorem)
- Plug in the value of x
m∠BDC = 180 - (3(20) + 25)
m∠BDC = 95°
Therefore, applying the triangle sum theorem, the size of ∠BDC = 95°.
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Answer:
69813.33 marshmallow
the calories required (i.e 10,920,800 ) is greater than the energy provided (i.e 7,500,000) hence the 2 unicorns cannot survive
Step-by-step explanation:
Given:
Unicorn weights = 440 kg
Marshmallow weighs = 0.5 grams
Unicorn needs = 34 calories/kg of body weight/day
Marshmallow offers = 3 calories/gram
Calories required by Unicorn in a week
= Calories needed × Weight of unicorn × Total days in a week
= 34 × 440 × 7
= 104,720 calories
Now,
Marshmallows required =
=
= 34906.67 grams
Therefore,
the number of marshmallows required =
=
= 69813.33 marshmallow
b) Total calories provided by the marshmallow
= 5,000,000 × 0.5 × 3
= 7,500,000 calories
and,
calories required by 2 unicorns in an year
= weight of 2 unicorn × calories needed × number of days in an year
= 2 × 440 × 34 × 365
= 10,920,800
Since,
the calories required (i.e 10,920,800 ) is greater than the energy provided (i.e 7,500,000) hence the 2 unicorns cannot survive