Answer:
231 ft²
Step-by-step explanation:
Given that :
Dimension of each side = 3.5 feets by 11 feets
Area of each side :
Length * width = (3.5 * 11) feets = 38.5 ft²
Number of sides = 6
Hence, number of square feets to paint :
Number of sides * area of each side :
6 * 38.5 ft²
= 231 ft²
An isosceles triangle is a type of triangle where 2 sides are equal.
Picture out 2 triangles with the same base length.
On the first triangle, its legs are twice the length of the legs of the second triangle.
To put it into variables, let:
B = the same base length of the two triangles
A = the length of one leg the smaller triangle
2A = the length of one leg of the bigger triangle
Given: Perimeter of smaller triangle = 23cm
Perimeter of bigger triangle = 43cm
Recall the formula for solving the perimeter of a triangle:
Perimeter = A + B + C
where, A, B, and C are the legs of the triangle
Since the triangle involved is an isosceles triangle, therefore, we can say that
Perimeter = 2A + B , 2 legs are equal ( A=C )
Substituting the given perimeter value to the formula.
23cm = 2A + B ⇒ equation 1 (smaller triangle)
43cm = 2(2A) + B ⇒ equation 2 (bigger triangle)
Simplifying equation 2.
43cm = 4A + B
(rearranging) B = 43cm - 4A ⇒ equation 3
Substituting equation 3 to equation 1:
(equation 1) 23cm = 2A + B
23cm = 2A + (43cm - 4A)
23cm = -2A + 43cm
2A = 43cm - 23cm
2A = 20cm ⇒ length of the leg of the bigger triangle
A = 10cm ⇒ length of the leg of the smaller triangle
To solve for the base length, just substitute the value of A to equation 3
(equation 3) B = 43cm - 4A
B = 43cm - 4(10cm)
B = 3 cm
Final Answer:
• For the smaller triangle, the length of the sides are 10cm, 10cm, and 3cm
• For the bigger triangle, the length of the sides are 20cm, 20cm, and 3cm
Answer:
1/6
Step-by-step explanation:
LCD = 96
2(32) - 16(3)/ 3(32) = 64 - 48/96
= 16/96
Simplify:
16/ 16 = 1
96/16 = 6
2/3 - 16/32 = 1/6
Sorry if my work might seem confusing. If it is, then try searching "fraction calculator." It really helps :)
Answer:
Step-by-step explanation:
so we are gonna have a percent decrease because it went from 188 to 42
decrease = (original number - new number) / (original number ) * 100
= (188 - 42) / (188) * 100
= (146 / 188) * 100
= 0.7766 * 100
= 77.66% decrease....not sure if u need ur answer rounded to the nearest percent or not....if so, its a 78% decrease
The selected statistical questions are as follows:
<em>A what is the typical amount of rainfall for the month of June in the Galapagos islands</em>
<em />
<em>D how many songs does the class usually listen to each day</em>
<em />
<em>G how long does it typically take for 2nd graders to walk a lap around the track</em>
Statistical questions are known by these two main characteristics:
- they are answered by the collection of data
- there is always variability in the data collected
This means that the data vary. They are not the same data. For example, "How old is Monday?" is not a statistical question because it has one answer.
Thus, statistical questions are not answered by a single number or answer, especially when the correct answer is just one.
Learn more examples of statistical questions here: brainly.com/question/15729334
