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4 years ago

10.725 divided by 1.3 (long division check work)

Mathematics

1 answer:

OLga [1]4 years ago

5 0

The answer is 8.25... Sorry if I get it wrong.

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A right-angled triangle has shorter side lengths exactly c^2-b^2 and 2bc units respectively, where b and c are positive real num

yKpoI14uk [10]

Answer: hypotenuse = $c^{2} + b^{2}$

Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side ( $s_{1},s_{2}$ ) of the right triangle, .i.e.:

$h^{2} = s_{1}^{2} + s_{2}^{2}$

In this question:

$s_{1}$ = $c^{2}-b^{2}$

$s_{2} =$ 2bc

Substituing and taking square root to find hypotenuse:

$h=\sqrt{(c^{2}-b^{2})^{2}+(2bc)^{2}}$

Calculating:

$h=\sqrt{c^{4}+b^{4}-2b^{2}c^{2}+(4b^{2}c^{2})}$

$h=\sqrt{c^{4}+b^{4}+2b^{2}c^{2}}$

$c^{4}+b^{4}+2b^{2}c^{2}$ = $(c^{2}+b^{2})^{2}$ , then:

$h=\sqrt{(c^{2}+b^{2})^{2}}$

$h=(c^{2}+b^{2})$

Hypotenuse for the right-angled triangle is $h=(c^{2}+b^{2})$ units

3 0

4 years ago

Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A rat weighs

brilliants [131]

Answer:

The slope is $s =$ $0.1774 / pounds

Step-by-step explanation:

From the question we are told that

The weight of the rat is $w_1 = 3.5 \ pound$

The cost of feeding the rat per week is $c_1 =$ $4.50

The weight of a Beagle is $w_2 = 30 \ pound$

The cost of feed a Beagle per week is $c_2 =$ $9.20

Now the slope can be evaluated mathematically as

$s = \frac{c_2 -c_1 }{w_2 -w_1 }$

substituting values

$s = \frac{9.20 -4.50 }{30 -3.5 }$

$s =$ $0.1774 / pounds

5 0

3 years ago

what are the domain of the function what are the domain of the function y equal 2 start root 3x plus 4 end root?

inna [77]

Y=sqrt(3x+4)

3x+4 must be positive

3x+4>=0
Solving for x:
3x+4-4>=0-4
3x>=-4
3x/3>=(-4)/3
x>=-(4/3)

Domain of the function = [-(4/3), +Infinite)

5 0

4 years ago

I need help with the bottom one the absolute value one

astra-53 [7]

Absolute value is simply the non-negative version of the number regardless of its symbol

So for the absolute value of 20? the answer is just 20.

For reference, the absolute value of -20 is also just 20.

Hope the explanation helps :)

5 0

3 years ago

Read 2 more answers

Select the correct answer. The parent tangent function is transformed such that its period is halved. Which graph could represen

almond37 [142]

Answer:

The correct option is - D.

Step-by-step explanation:

To find - Select the correct answer. The parent tangent function is transformed such that its period is halved. Which graph could represent the transformed function?

Solution -

We know that,

The parent tangent function is -

f(x) = tan(x)

Period of Parent function = $\pi$

Now,

If Period is half,

Then

The function is transformed to

f(x) = tan(2x)

So,

The graph becomes

The correct option is - D.

5 0

3 years ago

Read 2 more answers