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3 years ago

11

Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle. 11, 13, 25 acute right obtuse not

a triangle

1 answer:

Kryger [21]3 years ago

3 0

RESPUESTA: no es un triangulo

EXPRICACION

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The formula A = 23.1 e 0.01521 models the population of a US state, A, in millions, t years after 2000.

Art [367]

Answer:

- The population in 2001 is 23.1 million

- It will reach 28.3 million in 2013

Step-by-step explanation:

Given

$A =23.1e^{0.0152t}$

Solving (a): Population in 2000.

This implies that

$t = 2000 - 2000$

$t = 0$

So, we have:

$A =23.1e^{0.0152t}$

$A =23.1e^{0.0152*0}$

$A =23.1e^{0}$

Solve the exponent

$A =23.1*1$

$A =23.1$

The population in 2001 is 23.1 million

Solving (b): When will it reach 28.3 million

This implies that:

$A =28.3$

So, we have:

$A =23.1e^{0.0152t}$

$28.3 = 23.1e^{0.0152t}$

Divide both sides by 23.1

$1.225 = e^{0.0152t}$

Take natural logarithm of both sides

$ln\ 1.225 = ln(e^{0.0152t})$

Rewrite as:

$ln\ 1.225 = 0.0152t\ ln(e)$

$ln(e) = 1$

So:

$ln\ 1.225 = 0.0152t*1$

$ln\ 1.225 = 0.0152t$

Make t the subject

$t = \frac{ln\ 1.225}{0.0152}$

$t = \frac{0.2029}{0.0152}$

$t \approx 13$

Add the value of t to 2013 to get the actual year

$Year = 2000 +13$

$Year = 2013$

It will reach 28.3 million in 2013

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3 years ago

How do i solve z+18=y

lubasha [3.4K]

<span>Simplifying z + 18 = y Reorder the terms: 18 + z = y Solving 18 + z = y Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + z = -18 + y Combine like terms: 18 + -18 = 0 0 + z = -18 + y z = -18 + y Simplifying z = -18 + y</span>

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4 years ago

Mr. and Mrs. Parker's bed is 2 1/3 yards wide. That also have 2 nightstands that are 22 inches wide. The bedroom wall is 12 1/2

vampirchik [111]

Conversions: to smallest (inches)
n= 22 inches
b= 2 1/3 yard = 84 inches
t= 12 1/2 feet = 150 inches

total space = t
night stand = n (2n for two nightstands)
bed=b

b+2n has to be < or = to t

84+2(22)=x
84+44=128
128 is < 150

therefore the answer is yes they will fit with 22 inches left over.

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3 years ago

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Bonifacio works 40 hours per week as a customer service representative. If he made $17,680 last year, how much was he paid per h

GaryK [48]

$8.50 because if he worked 40 hours a week you would multiple that by 52 because there are 52 weeks in a year. From there you would take the total he made and divide it by the hours he worked.

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In the diagram, is the perpendicular bisector of and is also the angle bisector of . If m = x, which quantity is equal to sin ?

earnstyle [38]

Given that line PN is a perpendcular bisector of line AB, then angles APN and BPN are equal to 90 degrees each.

Also, given that line PN is an angle bisector to angle CPD and angle CPD measures x, then the measure of angle DPN is $\frac{1}{2} x$ .

Thus, the measure of angle DPB = angle BPN - angle DPN
$=90- \frac{1}{2} x$

Therefore,
$\sin DPB=\sin\left(90- \frac{1}{2} x\right) \\ \\ =\sin(90)\cos\left(\frac{1}{2} x\right)-\sin\left(\frac{1}{2} x\right)\cos(90) \\ \\ =\cos(\frac{1}{2} x)$

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3 years ago