Answer:
Yep. I can help you.
Step-by-step explanation:
The percentage decrease is 15%.
180 - 153 = 27 (price decrease)
10% of 180 = 18
5% of 180 = 9
18 (10%) + 9 (5%) = 27 (15%)
The price decreased by 27 and when you convert this into a percentage by dividing by the original price and then multiplying by 100, the result is a 15% decrease in the price.
To calculate the percentage decrease in the price, you first need to find out how much the price has fallen by. So subtract the new price (153) from the old price (180). This gives you 27.
Next, to convert this decrease to a percentage, you divide it by the original price (180) and then multiply by 100. So the calculation would be (27/180)*100 = 15%.
Therefore, the price of the item decreased by 15%.
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The mass of the silver ingot is found by multiplying its volume with the density of metallic silver. The volume is calculated using the ingot's dimensions, and the final mass is approximately 5186.16 grams.
To determine the mass of a silver ingot based on its dimensions and density, we can use the formula mass = density × volume. First, we calculate the volume of the ingot by multiplying its length (28.0 cm), width (4.90 cm), and thickness (3.60 cm):
Volume = length × width × thickness
= 28.0 cm × 4.90 cm × 3.60 cm
= 493.92 cm³
Next, we use the density of metallic silver, 10.50 g/cm³, to find the mass:
Mass = density × volume
= 10.50 g/cm³ × 493.92 cm³
= 5186.16 g
The mass of the silver ingot is therefore approximately 5186.16 grams.
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Answer:
5190 g
Step-by-step explanation:
Calculate the volume:
28.0 cm × 4.90 cm × 3.60 cm = 493.92 cm³
Density is mass divided by volume:
D = M / V
Solving for mass:
M = D V
Substituting values:
M = (10.50 g/cm³) (493.92 cm³)
M = 5186.16 g
Rounding to three significant figures, the mass is 5190 g.
1. 1000/100 2. 9/81 3. 4/64
The pair of given triangles which satisfied the HL theorem of congruency is given by option C. Both right triangles with hypotenuse and one corresponding leg congruent.
HL theorem also named as Hypothenuse Leg theorem,
It states hypotenuse and any one leg of one right angled triangle is congruent to hypotenuse and corresponding leg of another right angled triangle.
This implies both the triangles are congruent using HL theorem.
To check which pair of triangles are congruent using HL theorem are as follow,
a. In the first pair of right angled triangles only hypotenuse is marked as congruent side of two different triangles.
So it is not true.
b. In the second pair of triangles,
Both the triangles are obtuse angled triangle.
It does not satisfied HL theorem.
So , it is also not true.
c. In the third pair of the right angled triangle,
Hypotenuse of both the triangle are marked congruent.
One of the corresponding leg is also congruent.
It satisfied the HL theorem.
And both the triangles are congruent to each other using HL theorem.
Option C. is true.
d. IN fourth pair of triangles,
Triangles are not right angled triangle.
It satisfied the SSS (Side -Side- Side) congruency theorem.
It is not a correct option for HL theorem.
Therefore, pair of triangles which satisfied the HL theorem of congruency is option C. Both right triangles.
Learn more about triangles here
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The answer is C
Step-by-step explanation: