The statement is true.
Explanation.
When two triangles are similar, the ratios of corresponding sides of the two triangles will be the same.
For example,
If ΔABC ~ ΔDEF, then
AB/DE = BC/EF = AC/DF.
Answer:
2/5
Step-by-step explanation:
in 4/10, both the numerator (4) and denominator (5) are multiples of 2, as 4 = 2 * 2 and 10 = 2 * 5. thus, we can divide both the numerator and denominator by 2 to get
(4/2) / (10/2) = 2/5 as our answer.
Answer: The ladder would reach 15.3 ft up the wall
Step-by-step explanation: Please refer to the attached diagram.
If the ladder (represented by line AC) rests on the wall (represented by line AB), it forms an angle of 50 with the ground (at point C). The ground is represented by line BC.
We need to remember that we have one side and one angle given in this question. The given side is the hypotenuse (the side facing the right angle, B in this case) and the given angle is the reference angle. The unknown side which is x, is the opposite as it is facing the reference angle.
Having the opposite and the hypotenuse, we can use the Sine ratio which is,
Sine C = opposite/hypotenuse
Sine 50 = x/20
Checking our table of values or by use of our calculator, sin 50 is 0.766
Sin 50 = x/20
0.766 = x/20
By cross multiplication, we now have our equation rewritten as;
0.766 (20) = x
15.32 = x
Rounded to the nearest tenth,
x = 15.3 ft
Answer:
153, 51, 5.1
Step-by-step explanation:
<h3>15.3÷3= 153 tenths÷3</h3><h3>15.3÷3=51 tenths</h3><h3>15.3÷3=5.1</h3>
Answer:
The kitchen requires 288 sq. ft. of tile
The master bathroom requires 180 sq. ft. of tile
In total, we will spend $1170
Step-by-step explanation:
The area of the kitchen is length * width:
Area of Kitchen =
sq. ft.
The area of the master bathroom is length * width:
Area of Master Bathroom =
sq. ft.
- <u>Question 1: "How many square feet of tile do I need for the kitchen?"</u>
The kitchen requires 288 sq. ft. of tile
- <u>Question 2: " How many square feet of tile will I need for the bathroom?"</u>
The master bathroom requires 180 sq. ft. of tile
- <u>Question 3: "If the tile costs $2.50 per sq ft, how much money will I spend on tile?"</u>
In total, <u><em>we require
sq. ft. of tiles</em></u>. If $2.50 is charged per square feet, in total we will spend:
dollars