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inn [45]
3 years ago
15

The height of a triangle is 4 m less than its base. The area of the triangle is 48 m^2. what is the length of its base?

Mathematics
2 answers:
RideAnS [48]3 years ago
5 0
Area = (1/2)bh   
h = b-4

(1/2)b(b-4) = 48
b(b-4) = 48 : (1/2)
b² - 4b = 96
b² - 4b - 96 = 0
D = (-4)² - 4·(-96) = 16 + 384 = 400 = 20²
b₁ = (4-20)/2 = -8     ∅
b₂ = (4+20)/2 = 12

The length of the base = 12 m
fenix001 [56]3 years ago
4 0
24 m  is the correct answer for your question
       
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9 rose bushes have been planted

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The birth rate of a population is b(t) = 2300e0.024t people per year and the death rate is d(t)= 1450e0.019t people per year, fi
Shalnov [3]

Answer:

Area = 10025.66 square units

Step-by-step explanation:

We are given the following in the question:

The birth rate of a population:

b(t) = 2300e^{0.024t}

The death rate of a population:

d(t)= 1450e^{0.019t}

The area between the curve for 0 ≤ t ≤ 10, is given by:

\displaystyle\int_0^{10}b(t) - d(t)~ dt\\\\\displaystyle\int_0^{10} 2300e^{0.024t}-1450e^{0.019t}~dt\\\\= \Bigg[\frac{2300e^{0.024t}}{0.024}\Bigg]_0^{10}-\Bigg[\frac{1450e^{0.019t}}{0.019}\Bigg]_0^{10}\\\\= \Bigg[\frac{2300e^{0.24}}{0.024}-\frac{1450e^{0.19}}{0.019}\Bigg]-\Bigg[\frac{2300}{0.024}-\frac{1450}{0.019}\Bigg]\\\\= 29543.2058565 - 19517.5438596 \approx 10025.6

4 0
3 years ago
Find 3 consecutive even integers if their sum decreased by 10 equals -22
Orlov [11]
Three consecutive even integers can be represented by x, (x+2), and (x+4).

(x + (x + 2) + (x + 4)) - 10 = -22   Get rid of the parentheses
    x + x + 2 + x + 4 - 10 = -22   Combine like terms (x + x + x) and (2 + 4 - 10)
                               3x - 4 = -22   Add 4 to both sides
                                    3x = -18   Divide
                                      x = -6
Check you work.

x = -6
x + 2 = -4
x + 4 = -2

(-6 - 4 - 2) - 10 = 22
-12 - 10 = -22

So, your three integers are -6, -4, and -2 .
6 0
4 years ago
What is the additive inverse ( opposite ) of -50​
bekas [8.4K]

Answer:

50

Step-by-step explanation:

7 0
3 years ago
A die was rolled eight times. The rolls were 2, 2, 3, 4, 4, 5, 6, and 6. What is the mean absolute deviation for this data? A) 1
adoni [48]

Answer:

The correct option is A:

MAD = 1 + 1/4

Step-by-step explanation:

For a set of N elements {x₁, x₂, ..., xₙ}

The mean is calculated as:

M = \frac{x_1 + x_2 + ... + x_n}{N}

And the mean absolute deviation is calculated as:

MAD = \frac{Ix_1 - MI + Ix_2 - MI + ...+ IX_n - MI}{N}

Here we have the set of 8 elements:

{ 2, 2, 3, 4, 4, 5, 6, 6}

The mean of this set is:

M = (2 + 2 + 3 + 4 + 4 + 5 + 6 + 6)/8 = 4

Then the mean standard deviation is:

MAD = \frac{I2 - 4I + I2 - 4I + I3 - 4I + I4 - 4I + I4 - 4I + I5 - 4I + I6 - 4I + I6 - 4I}{8} = 10/8

If we simplify this, we get:

MAD = 10/8 = 5/4  = (4 + 1)/4 = 4/4 + 1/4 = 1 + 1/4

MAD = 1 + 1/4

The correct option is A.

6 0
3 years ago
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