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3 years ago

triangles ABC and ACD are right triangles. AB is 28 meters long. AC is 21 meters long. Find the lengths of BC and AD.

Mathematics

1 answer:

hichkok12 [17]3 years ago

4 0

Answer:

The length of BC = 18.52 m & AD = 28 m.

Step-by-step explanation:

Since Δ ABC & ΔACD are the right angles.

So BC = CD

From Δ ABC

$AB^{2} = AC^{2} + BC^{2}$

$28^{2} = 21^{2} + x^{2}$

$x^{2} = 784 - 441$

x = 18.52 m

Thus BC = x = 1852 m

CD = BC = 18.52 m

Now from the ΔACD

$AD^{2} = AC^{2} + CD^{2}$

$AD^{2} = 21^{2} + 18.52^{2}$

AD = $\sqrt{784}$

AD = 28 m

Therefore the length of BC = 18.52 m & AD = 28 m.

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rjkz [21]

Answer:

Check Explanation

Step-by-step explanation:

According to the Central limit theorem, the population mean (μ) is approximately equal to the mean of sampling distribution (μₓ).

And the standard deviation of the sampling distribution (σₓ) is related to the population standard deviation (σ) through

Standard deviation of the sampling distribution = (Population standard deviation)/(√N)

where N = Sample size

σₓ = (σ/√N)

So, population mean (μ) = Mean of sampling distribution (μₓ)

Population Standard deviation = (Standard deviation of the sampling distribution) × √N

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A) The expected value of a given distribution is simply equal to the mean of that distribution.

Hence, the expected value of random variable Y thay varies with different samples is given as

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But μₓ = μ

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Var (Y) = (standard deviation of the sampling distribution)²

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Hope this Helps!!!

4 0

3 years ago

Rectangles A and B have the same perimeter but are different shapes Rectangle S is 5 inches long and 3 inches wide. Rectangle B

koban [17]

We know that
perimeter rectangle A=2*[5+3]-----> 16 in

let
x------> length side rectangle B
y-------> width side rectangle B
so
x=6+y-------> equation 1
16=2[x+y]------> equation 2
<span>I substitute 1 in 2
</span>16=2*[6+y+y]-------> 16=2*[6+2y]-----> 16=12+4y-----> 4y=16-12
y=4/4--------> y=1 in
x=6+1---->x=7 in

the answer is
the dimensions of rectangle B are
length side is 7 in
width side is 1 in

4 0

3 years ago

How do i solve this?

Stells [14]

You divide by 6 to each number then you get x by itself then x equals 10

7 0

3 years ago

Find the slope that passes through (-1, -3) and (-2, 2)

notka56 [123]

Answer:

slope = 5

Step-by-step explanation:

$m = \frac{-3 - 2}{-1 - (-2)} \\m = \frac{-5}{1} \\m = 5$

5 0

3 years ago

Does the function g(x) = -2x2 + 10x + 2 have a minimum or a maximum? Identify its value.<br> +

Hitman42 [59]

Answer:

(5/2, 29/2), and this represents a maximum

Step-by-step explanation:

g(x) = -2x^2 + 10x + 2 is a quadratic function with coefficients {-2, 10, 2}.

The formula for the axis of symmetry (which passes through the vertex) is

x = -b/ [2a]. Here, a = -2; b = 10. Therefore, the axis of symmetry is

x = -10/ [2(-2)] = -10/(-4) = 5/2

Evaluate the function g(x) = -2x^2 + 10x + 2 at x = 5/2 to determine the y-coordinate of the vertex:

g(5/2) = -2(5/2)^2 + 10(5/2) + 2, or

g(5/2) = -2(25/4) + 25 + 2, or

g(5/2) = -25/2 + 27, or

g(5/2) = 14.5

The vertex is thus (5/2, 29/2), and this represents a maximum, because the coefficient of the x^2 term is negative (the curve opens downward).

3 0

2 years ago

triangles ABC and ACD are right triangles. AB is 28 meters long. AC is 21 meters long. Find the lengths of BC and AD.​

triangles ABC and ACD are right triangles. AB is 28 meters long. AC is 21 meters long. Find the lengths of BC and AD.