This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.
Answer:
11 units
Step-by-step explanation:
The shaded portion of the rectangle forms the shape of a trapezium
The area of a trapezium = 1/2(a + b)h
From the diagram, we can see than x = b
a = 7 units
b = 7 units
Area of the trapezium = Area of the shaded portion = 63 square units
A = 1/2(a + b)h
63 = 1/2(7 + b)7
63 = 1/2(49 + 7b)
63 × 2 = 49 + 7b
126 - 49 = 7b
7b = 77
b = 77/7
b = 11 units
Since x = b, x = 11 units
Answer:
It will take the apprentice 24 days working alone
Step-by-step explanation:
Let the number of days it takes the apprentice be x
It will take the landscaper x/3 ( since he is three times faster)
The rate for both will be 60/6 = 10 sq m per day
Rate for apprentice is 60/x
rate for the boss is 60/x/3 = 180/x
Adding the rates together;
60/x + 180/x = 10
240/x = 10
240 = 10x
x = 240/10
x = 24 days
7: d
8:d
9:c
10:c
Quadrant 1(I): both numbers are positive
Quadrant 2(II); negative number first then positive number last
Quadrant 3(III): both numbers are negative
Quadrant 4(IV): Positive number first then negative number last
Answer:
<u>1. 4/13 = 20/65
</u>
<u>2. 4/20 = 13/65 </u>
<u>3. 5/10 = 23/46</u>
<u>4. 5/10 = 32/64
</u>
<u>5. 5/23 = 10/46
</u>
<u>6. 5/32 = 10/64</u>
Step-by-step explanation:
We can make the following six equivalent ratios using the digits from 0 to 6 only once:
1. 4/13 = 20/65 (We multiply 4 and 13 by 5 to get the second equivalent ratio)
2. 4/20 = 13/65 (We divide the first ratio by 4 and the second by 13 and we get 1/5 on both ratios)
3. 5/10 = 23/46 (We divide the first ratio by 5 and the second by 23 and we get 1/2 on both ratios)
4. 5/10 = 32/64
(We divide the first ratio by 5 and the second by 32 and we get 1/2 on both ratios)
5. 5/23 = 10/46
(We multiply 5 and 23 by 2 to get the second equivalent ratio)
6. 5/32 = 10/64 (We multiply 5 and 32 by 2 to get the second equivalent ratio)
21. D. is the answer. Angle Q is 75 degrees. X=30. The triangle is an isosceles angle so therefore there are 2 angles are congruent to each other, Angle R and Angle Q. All three of the angles should add to 180 degrees.
