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3 years ago

9. Find the length of a base of a triangle withan Area of 100 and a height of 25.

Mathematics

1 answer:

liraira [26]3 years ago

6 0

Answer:

8 (units)

Step-by-step explanation:

The formula to find the area of a triangle is A = 1/2(b*h). Since we know the area already, we can substitute that value in to calculate the answer backwards.

Plug in the numbers known:

A = 100

h = 25

Equation: 100 = 1/2(b*25)

Now solve:

100 = 1/2(b*25)

200 = b * 25

8 = b

So, the answer to your question is 8 (units).

Hope this helps!

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Suppose the bacteria population in a specimen increases at a rate proportional to the population at each moment. There were 100

NNADVOKAT [17]

9514 1404 393

Answer:

about 3,160,000,000

Step-by-step explanation:

"Increases at a rate proportional to population" means the growth is exponential. It can be modeled by the equation ...

p = ab^t

We can find 'a' and 'b' using the given data points.

100 = ab^(-4) . . . . . . . population 4 days ago

100,000 = ab^(-2) . . . population 2 days ago

Dividing the second equation by the first, we find ...

1000 = b^2

b = 1000^(1/2)

Substituting for b in the first equation, we have ...

100 = a(1000^(1/2))^(-4) = a(1000^-2)

100,000,000 = a

Then the population model is ...

p = 100,000,000×1000^(t/2)

Tomorrow (t=1), the population will be ...

p = 100,000,000 × 1000^(1/2) ≈ 31.6 × 100,000,000

p ≈ 3,160,000,000 . . . . . bacteria by tomorrow

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Additional comment

We could write this as ...

p = 10^(8+1.5t)

Then for t=1, this is p = 10^(8+1.5) = 10^0.5 × 10^9 = 3.16×10^9

7 0

3 years ago

Help please! figure out the "inflection point" of the following function f(x)=5x³ + 2x² − 3x

Artyom0805 [142]

Answer:

x = -2/15.

Step-by-step explanation:

Finding the second derivative:

f'(x) = 15x^2 +4x - 3

f"(x) = 30x + 4

30x + 4 = 0 for a point of inflection

x = -4/30 = -2/15

So 30x + 4 is negative up to x = -2/15 and positive thereafter.

So the curve passes from concave downward to concave upward at x = -2/15.

3 0

3 years ago

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A surveyer wants to find the distance from points A and B and to an inaccessible point C. These three points form a triangle. Be

Vinil7 [7]

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

$\frac{a}{sin(A)}=\frac{b}{sin(B)} =\frac{c}{sin(C)}$

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b = distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a = distance from B to C = 120 m.

Therefore using sine rule:

$\frac{a}{sin(A)}=\frac{b}{sin(B)} \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)} \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o$

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2 years ago

Find the perimeter RST. Round answer to the nearest tenth Show all the work

kow [346]

Answer:

35.1 units

Step-by-step explanation:

Imagine a right-angled triangle with RS as hypotenuse. The base would be 3 units and the height would be 6 units. By Pythagorus:

RS²=3²+6²

RS= $\sqrt{45}$ ≈6.7 units

Imagine a right-angled triangle with RT as hypotenuse. The base would be 9 units and the height would be 12 units. By Pythagorus:

RT²=9²+12²

RT= $\sqrt{225}$ = 15 units

Imagine a right-angled triangle with TS as hypotenuse. The base would be 12 units and the height would be 6 units. By Pythagorus:

TS²=12²+6²

TS= $\sqrt{180}$ ≈13.4 units

Perimeter=RS+RT+TS

=6.7+15+13.4

=35.1 units

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3 years ago

What is - 7/8 - 3/8 =

kaheart [24]

-4/8 i think that is right not sure tho so you might wanna wait for ohter answer

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3 years ago

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9. Find the length of a base of a triangle withan Area of 100 and a height of 25.​

9. Find the length of a base of a triangle withan Area of 100 and a height of 25.