Answer:
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Step-by-step explanation:
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Answer: The correct answer is option A: 88 square inches
Step-by-step explanation: The figure upon careful observation has been divided into three parts. One part is a rectangle with dimensions;
Length = 16
Width = 4
The area of the rectangle now becomes;
Area = L x W
Area = 16 x 4
Area = 64
Looking at the two triangles, we can see that they are identical. The dimensions given are;
Base = 8
Height = 3
(The height is derived by 7 inches - 4 inches)
Area of the triangle is now determined as follows;
Area = 1/2(b x h)
Area = 1/2(8 x 3)
Area = 1/2(24)
Area = 12.
Remember that we have two identical triangles, hence the area of both of them equals 12 x 2 and that equals 24
Therefore, the area of the entire figure is calculated as;
Area = 64 + 24
Area = 88 square inches
Answer:
1 2/3 * 3 1/2 = 35/
6
= 5 5/
6
≅ 5.8333333
Step-by-step explanation:
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Conversion a mixed number 3 1/
2
to a improper fraction: 3 1/2 = 3 1/
2
= 3 · 2 + 1/
2
= 6 + 1/
2
= 7/
2
To find new numerator:
a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/
2
= 6/
2
b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 2.
Three and one half is seven halfs
Multiple: 5/
3
* 7/
2
= 5 · 7/
3 · 2
= 35/
6
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(35, 6) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - five thirds multiplied by seven halfs = thirty-five sixths.
The coordinate of the point T after the given transformations is; T''(-2, -4)
<h3>How to carry out Translation Transformations?</h3>
We are given the coordinates of the rectangle STUV as;
S(-7, 6)
T(-2, 6)
U(-2, 1)
V(-7, 1)
Now, we are told that all these coordinates are translated using the transformation rule; (x, y) → (x − 2, y − 4)
Thus, the new coordinates using this transformation rule are;
S'(-9, 2)
T'(-4, 2)
U'(-4, -3)
V'(-9, -3)
Now, we are told that these new points are rotated 90° counterclockwise and as such the new coordinates formed will follow the pattern (x, y) → (-y, x).
Thus, our final coordinates are;
S''(-2, -9)
T''(-2, -4)
U''(3, -4)
V''(3, -9)
Thus, the coordinate of the point T after the given transformations is; T''(-2, -4)
Read more about Translation Transformation at; brainly.com/question/4289712
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