Answer:
A = x⁵ + 13x³ - 9x² + 40x - 72
Step-by-step explanation:
The formula for the area of a rectangle is length X width, or A = lw.
Substitute the equations for the sides into the formula:
A = lw
A = (x² + 8)(x³ + 5x - 9) <= use the distributive property
A = x⁵ + 5x³ -9x² + 8x³ + 40x - 72 <= collect like terms
A = x⁵ + 13x³ - 9x² + 40x - 72
The correct answer for this question is 68.
Answer:
11.25pi units² or 35.3 units² (3 sf)
Step-by-step explanation:
½×r²×theta
½ × 5² × 0.9pi
11.25pi units²
Or, 35.3 units² (3 sf)
Answer:
Step-by-step explanation:
Let's draw the given information first for better understanding . Check the image attached.
We can use cosine rule to find the angles .
for angle A ,



m∠A = 48.35 degrees
Similarly for angle B



m∠B = 94.94 degrees
Now use A+B+C=180 degrees
48.35+94.94+C=180
C=180-48.35-94.94
m∠C = 36.71 degrees
X=area of Sahara.
y=area of the Gobi Desert.
We suggest this system equations:
x+y=4000000
x=7y
solve by susbstitution method.
(7y)+y=4,000,000
8y=4,000,000
y=4,000,000 / 8=500,000
x=7y
x=7(500,000)=3,500,000
The area of Sahara=3,500,00 miles².
The area of the Gobi Desert=500,000 miles²
To check:
Te sum of their areas is : 3,500,000 miles²+500,000 miles²=4,000,000 miles²
Te area of sahara (3,500,000 miles²) is 7 times the area of the Gobi Desert (7*500,000 miles²=3,500,000 miles²).