Please help!!! I'll mark you brainiest and give you as many Points as possible!!!!!

Mathematics

2 answers:

Vlada [557]3 years ago

5 0

Answer:

Option C

Step-by-step explanation:

$f(x) = 40( \frac{1}{4} )^{x}$

Goryan [66]3 years ago

5 0

Answer: its a

Step-by-step explanation:

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Please help! I need the surface area for both. Absurd answer are not tolerated. Thanks if you help!

Natasha_Volkova [10]

Answer:

<h3>Figure 1</h3>

Perimeter of base = 5 + 5 + 8 = 18 ft

Height = 7 ft

Base area = 1/2(8)(3) = 12 ft²

<u>Surface area:</u>

S = 18*7 + 2*12 = 150 ft²

<h3>Figure 2</h3>

<u>Surface area of cube:</u>

S = 6a² = 6(2.5)² = 37.5 m²

<u>Surface area of prism:</u>

S = 2(11 + 9)(7) = 280 m²

<u>Overlapping area:</u>

S = 2.5² = 6.25 m²

<u>Surface area of composite figure:</u>

S = 280 + 37.5 - 2(6.25) = 305 m²

4 0

3 years ago

The width of a rectangle is 21 meters. The area is 609 square meters. What is the length?

VLD [36.1K]

Step-by-step explanation:

Remember Area = length X Width

7 0

3 years ago

Write the equation of a circle with center at (3, -2), which also passes through the point (0, 2).

Airida [17]

$\text{The equation of acircle:}\\\\(x-h)^2+(y-k)^2=r^2\\\\(h;\ k)-center\\r-radius\\\\\text{We have center}\ (3,\ -2)\to h=3\ \text{and}\ k=-2.\\\\\text{The radius is the distance between the points} (3,\ -2)\ \text{and}\ (0,\ 2).\\\\\text{The formula of a distance between two points:}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{Substitute:}\\\\d=\sqrt{(2-(-2))^2+(0-3)^2}=\sqrt{4^2+(-3)^2}=\sqrt{16+9}\\\\=\sqrt{25}=5\\\\Answer:\ \boxed{(x-3)^2+(y-(-2))^2=5^2\to\boxed{(x-3)^2+(y+2)^2=25}}$