Step-by-step explanation:
1 kg = 1000 g
1.5 kg = 1500 g
1500 g : 350 g
= 150 : 35
= 30 : 7
Answer:
572$
Step-by-step explanation:
100% of 220 is 220 so add them together. Then find 60 % of 220. To find 10% of a number move the decimal to the left one time. Which is 22. After that, multiply 22 by 6 because it's 60%. then ad 220+220+132=572.
Answer:
Perimeter = 32.3
Area = 95.24
Step-by-step explanation:
Given:
△ABC, m∠A=60°
m∠C=45°, AB = 9
To find:
Perimeter of △ABC
Area of △ABC
Solution:
Using angle sum property in a triangle:
m∠A + m∠B + m∠C = 180°
m∠B = 180° - 45° - 60° = 75°
As per Sine Rule:
Where
is the side opposite to
is the side opposite to
is the side opposite to
Perimeter of △ABC = AB + BC + AC = 9 + 11.08 + 12.22 = <em>32.3</em>
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Area of a triangle is given as:
Answer:
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- <u>The correct answer is the first choice: Hinge Theorem.</u>
Explanation:
The <em>Hinge Theorem</em> compares the lengths of two sides of two triangles, given that the other two pairs of sides are congruent and the included angles are different.
The theorem states that if two sides of a triangle are congruent to two sides of another triangle and the included angle of one triangle is greater than the included angle of the other triangle, then length of the third side of the first triangle is greater than the length of the third side of the second triangle.
The figures shows triangles UVT and STV
The angle UVT is greater than the angle STV.
The sides ST and VU are congruent, as the small vertical marks indicate.
The side TV is a common side of both triangles.
Then, you already have that two sides of the triangle STV are congruent to two sides of triangle UVT and the angle UVT is greater than the angle STV.
Hence, by the HInge Theorem the side TU is greater than side SV.
Answer:
3.4 yards cubed
Step-by-step explanation:
Volume is length x width x height
Length 2 4/5, Width 2, Height 3/5 so 2 4/5 x 2 x 3/5
It looks like they want the answer in decimal form, so you can convert the fractions into decimals.
For the length 2 4/5, you divide the 4 by 5 to get a decimal of .8 so now it's 2.8
For the height of 3/5, you divide the 3/5 & get .6
Now it's 2.8 x 2 x .6 = 3.36 yards cubed which could get rounded up to 3.4 yards cubed