Answer:
1. 64 cm²
2. 240 yard²
3. 85.13 cm²
4. 193.36 m²
Step-by-step explanation:
Ques 1: We are given two rectangle with dimensions,
Length = 12 cm, Width = 4.5 cm and Length = 5 cm, Width = 2 cm.
As, we know, Area of a rectangle = Length × Width
So, we have,
Area of 1st rectangle = 12 × 4.5 = 54 cm²
Area of 2nd rectangle = 5 × 2 = 10 cm²
Thus, the total area of the figure = 54 + 10 = 64 cm²
Ques 2: We are given a triangle and a rectangle with dimensions,
Triangle: Base = 24-12 = 12 yd and Height = 8 yd
As, Area of a triangle =
i.e. Area of the triangle =
i.e. Area of the triangle =
i.e. Area of the triangle = 48 yard²
Rectangle: Length = 24 yd, Width = 8 yd
As, we know, Area of a rectangle = Length × Width
i.e. Area of a rectangle = 24 × 8 = 192 yard²
So, the total area of the figure = 48 + 192 = 240 yard².
Ques 3: We are given a triangle and a semi-circle with dimensions,
Triangle: Base = 8 cm and Height = 15 cm
As, Area of a triangle =
i.e. Area of the triangle =
i.e. Area of the triangle =
i.e. Area of the triangle = 60 cm²
Semi-circle: Diameter = 8 cm implies Radius = 4 cm.
So, Area of the semi-circle =
i.e. Area of the semi-circle =
i.e. Area of the semi-circle =
i.e. Area of the semi-circle =
i.e. Area of the semi-circle = 25.13 cm²
Thus, the total area of the figure = 60 + 25.13 = 85.13 cm²
Ques 4: We are given a rectangle and a semi-circle of dimensions,
Rectangle: Length = 15 m, Width = 7 m.
As, we know, Area of a rectangle = Length × Width
i.e. Area of a rectangle = 15 × 7 = 105 m²
Semi-circle: Diameter = 15 m implies Radius = = 7.5 m
So, Area of the semi-circle =
i.e. Area of the semi-circle =
i.e. Area of the semi-circle =
i.e. Area of the semi-circle = 88.36 m²
Thus, the total area of the figure = 105 + 88.36 = 193.36 m²
Answer:
So,
"The product of 51"
51 *
"and a number less than 427"
427 - n
"is 185."
= 185
51 * (427 - n) = 185
Distribute.
21,777 - 51n = 185
Subtract 21,777 from both sides.
-51n = -21,592
Divide both sides by -51.
How many hours do students in Mr. Brown's class typically spend on homework?
B.
What is Andy’s shoe size?
C.
What is the room temperature of Charlie's house?
D.
How much did Ashley pay for her smart phone?
b. At this rate, how long would Gianna have to work to make $60?
Use a ratio table to solve.
Q22.
9x - 2/3 y = -4
-2/3 y = -9x - 4
y = (-3/2) (-9x - 4) = (27/2)x + 6
That's a slope of 27/2 which means for every increase of 1 in x, y increases by 27/2.
Q23.
g(x) = (3/4) x + 5
Is that steeper than y=x? The function g has a slope of 3/4 and y=x has a slope of 1, which is more.
Answer: FALSE, g is less steep than y=x