Answer:
The answer is 30 ft²
Step-by-step explanation:
To find the area, you will use the formula A = bh. This formula is for a parallelogram and a rectangle.
Base = 6 ft
Heigh = 5 ft
6 ft × 5 ft = 30 ft²
Since there are complementary angles, the value of angle B is 39°.
Angle A = 7x + 23°
Angle B = 5x + 19°
It should be noted that the total angles in a complementary angle are equal to 90°.
Therefore, we need to add angle A and B together and then equate them to 90°. This will be:
7x + 23° + 5x + 19° = 90°
Collect like terms
12x + 42° = 90°
12x = 90° - 42°
12x = 48°
x = 48°/12
x = 4°
Angle A = 7x + 23° = 7(4) + 23° = 28° + 23° = 51°
Angle B = 5x + 19° = 5(4) + 19° = 20° + 19° = 39°
The value of angle B is 39°.
Read related link on:
brainly.com/question/24963009
1. x=4, y=0
3. x=2.6666, y=0.3333
The resulting equation on using the completing the square is y = (x+5)² - 25
<h3>Completing the square method</h3>
The quadratic equation has a leading degree of 2. Given the equation below;
y = x^2+10x
Add the square of the half of coefficient of x to have;
y = x^2+10x + (10/2)²- (10/2)²
y = x^2 + 10x + 5² - 5²
y = x^2 + 10x + 25 - 25
y = (x+5)² - 25
Hence the resulting equation on using the completing the square is y = (x+5)² - 25
Learn more on completing the square here: brainly.com/question/1596209
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Answer:
The answer is C. 546.
If a population decreases by 11%, that means that 89% (100% - 11% = 89%) of cheetahs remains each number. 89% can be expressed as 0.89, so to calculate the change of the population, we must each year multiply the number of cheetahs by 0.89.
After 1 year: 1750 * 0.89 ≈ 1558
After 2 years: 1558 * 0.89 ≈ 1387
After 3 years: 1387 * 0.89 ≈ 1234
After 4 years: 1234 * 0.89 ≈ 1098
After 5 years: 1098 * 0.89 ≈ 977
After 6 years: 977 * 0.89 ≈ 870
After 7 years: 870 * 0.89 ≈ 774
After 8 years: 774 * 0.89 ≈ 689
After 9 years: 689 * 0.89 ≈ 613
After 10 years: 613 * 0.89 ≈ 546
Step-by-step explanation:
