Answer:
reflection over the x-axis and shifted 7 units down
Answer:
125.6
Step-by-step explanation:
all you have to do is multiple the 3.14 with 40 cm to get 125.6 cm
Use the Pythagorean Theorem to find the length of the line segment connecting (4,-6) and (9,-5). The change in x is 5 and the change in y is 1. Thus, the
hypotenuse is sqrt(5^2 + 1^2) = sqrt(26) (answer).
Answer: The angles are 67.5°, 22.5° and 90°.
Step-by-step explanation:
It should be noted that a straight angle is always equal to 180°.
The straight angle is split in the ratio 3:1:4.
The measure of each angle will be:
a. = 3/(3+1+4) × 180°
= 3/8 × 180°
= 67.5°
b. 1/8 × 180° = 22.5°
c. 4/8 × 180° = 90°
The angles are 67.5°, 22.5° and 90°.
Answer:
81
Step-by-step explanation:
Let the digits that make up the number be a and b.
Given that the square root of the number is equal to the sum of the digits.
Then,
√(10a + b) = a + b
Also given that the square root of the number is less than the number obtained by interchanging the digits by 9, then
√(10a +b) + 9 = 10b + a
Since √(10a + b) = a + b, then
a + b + 9 = 10b + a
a - a + 9 = 10b - b
9b = 9
b = 1
since √(10a + b) = a + b
√(10a + 1) = a + 1
10a + 1= (a + 1)²
10a + 1 = a² + 2a + 1
a² + 2a - 10a + 1 - 1 = 0
a² - 8a = 0
a(a - 8) = 0
a = 0 or a = 8
Using a = 8 and b = 1,
the number 10a + b = 10(8) + 1 = 81.
