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damaskus [11]
3 years ago
5

A triangle PQR is right angled at R, with PQ=80cm and R=60cm. find QR? pythagorus theorem

Mathematics
1 answer:
algol133 years ago
5 0

Answer:

Solution given:

A triangle PQR is right angled at R, with hypotenuse{h}PQ=80cm

and

base[b]PR=60cm.

perpendicular [P]= QR

<u>by</u><u> </u><u>using</u><u> </u><u>Pythagoras</u><u> </u><u>law</u>

<u>h²</u><u>=</u><u>p²</u><u>+</u><u>b²</u>

80²=QR²+60²

QR²=80²-60²

QR=\sqrt{2800}

QR=20\sqrt{7}=52.9=53cm

<u>QR</u><u>=</u><u>5</u><u>3</u><u>c</u><u>m</u><u>.</u>

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Samantha is studying the population growth of an endangered birth. The growth can be modeled by the equation B(t) 100 + 3/5t^5 ,
solong [7]

The value of the population of the growth of an endangered birth after 5 years is 1975

<h3>How to determine the population after 5 years?</h3>

The population function is given as:

B(t) = 100 + 3/5t^5

At 5 years, the value of t is 5

So, we have

t = 5

Next, we substitute 5 for t in the equation B(t) = 100 + 3/5t^5

This gives

B(5) = 100 + 3/5 * 5^5

Evaluate the exponent

B(5) = 100 + 3/5 * 3125

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B(5) = 100 + 1875

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Hence, the value of the population of the growth of an endangered birth after 5 years is 1975

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4 0
1 year ago
Evaluate the expression if m =<br> -4, n = 1, p = 2, 9 = -6, r = 5, and t = -2.<br> |16+4(3q + p)|
swat32

Answer:

720

Step-by-step explanation:

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720

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DedPeter [7]
3.70 and 3.700 are some examples to get you started.
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Let T: Mmxn(R)Mmxn(R) be the function defined
alexandr402 [8]

Answer:

True. See the explanation and proof below.

Step-by-step explanation:

For this case we need to remeber the definition of linear transformation.

Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:

1) T(x+y) = T(x) + T(y)

2) T(cv) = cT(v)

For all vectors x,y \in V and for all scalars c \in R. And A is called the domain and B the codomain of T.

Proof

For this case the tranformation proposed is t: M_{mxn} (R) > M_{nxm} (R)

Where T(A) = A^T

For this case we have the following assumption:

1) The transpose of an nxm matrix is an nxm matrix

And the following conditions:

2) T(A+B) = (A+B)^T = A^T + B^T = T(A) + T(B)

And we can express like this T(A+B) =T(A) + T(B)

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T(cA) = (cA)^T = cA^T = cT(A)

And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.

5 0
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