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2 years ago

Nonsense will be reported!!

Mathematics

1 answer:

Ainat [17]2 years ago

8 0

[8] The hypotenuses must be congruent, DE and IJ

HL is hypotenuse-leg, or where the hypotenuse and one leg are congruent.

Since we see a leg is congruent, to prove they are congruent with HL we will need to know that the hypotenuses are congruent.

[9] Another leg, AC and YX

LL is leg-leg. Since we have one leg, we will need the other leg to prove the triangles are congruent by LL.

[10] A leg, DE and E? or FE and E?

LA means leg-angle. The angles by point E are vertical angles, so they will be congruent. To finish prooving the congruence using LA we will also need a leg.

-> The question marks are because the letters are too blurry to read.

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Need help filling in the blanks

Xelga [282]

Answer:

1. $2,520.00

2. 0.0%

3. 3%

4. $661.5

5. $727.00

6. $1,736.96

8. $3,250.00

10. 2%

Step-by-step explanation:

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 2.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 2.0% or 0.02

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.02

r = 0.98

Now that we have r we divide the discounted price by r.

Original price = 2,469.60 / 0.98

Original price = $2,520.00

Pretty straight forward as the Original price and the Discounted are the same. So there is no discount.

r = 0.0%

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$850 - $824.50 = $25.50

Now that we have the decrease we can find the rate by using this formula:

$r = \dfrac{Decrease}{Original Price}*100$

$r = \dfrac{25.50}{850}*100$

$r = 0.03*100$

$r = 3%$

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

$Discounted Price=OriginalPrice-(OriginalPrice*Rate)$

$Discounted Price=675-(675*0.02)$

$Discounted Price=675-13.5$

$Discounted Price=$661.5$

Since the %off is 0.0% then the discounted price is equal to the original price.

$727.00

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

$Discounted Price=OriginalPrice-(OriginalPrice*Rate)$

$Discounted Price=1,888-(1,888*0.08)$

$Discounted Price=1,888-151.04$

$Discounted Price=$1736.96$

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 3.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 3.0% or 0.03

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.03

r = 0.97

Now that we have r we divide the discounted price by r.

Original price = 3,152.50 / 0.97

Original price = $3,250.00

10.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$4,567.00 - $4,475.66 = $91.34

Now that we have the decrease we can find the rate by using this formula:

$r = \dfrac{Decrease}{Original Price}*100$

$r = \dfrac{91.34}{4567}*100$

$r = 0.02*100$

$r = 2%$

7 0

3 years ago

How many times greater is the value of the 2 in 270,413 than the value of the 2 in 419,427?

Gala2k [10]

It is 4 down the value so just do tens hundreds,thousands

8 0

3 years ago

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Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin9t,sin6t,9t⟩,r(0)=⟨4,6,3⟩

klemol [59]

$\mathbf r'(t)=\langle\sin9t,\sin6t,9t\rangle$

$\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt$

$\mathbf r(t)=\left\langle\displaystyle\int\sin9t\,\mathrm dt,\int\sin6t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle$

$\displaystyle\int\sin9t\,\mathrm dt=\frac19\cos9t+C_1$

$\displaystyle\int\sin6t\,\mathrm dt=\frac16\cos6t+C_2$

$\displaystyle\int9t\,\mathrm dt=\frac92t^2+C_3$

With the initial condition $\mathbf r(0)=\langle4,6,3\rangle$ , we find

$\dfrac19\cos0+C_1=4\implies C_1=\dfrac{35}9$

$\dfrac16\cos0+C_2=6\implies C_2=\dfrac{35}6$

$\dfrac92\cdot0^2+C_3=3\implies C_3=3$

So the particular solution to the IVP is

$\mathbf r(t)=\left\langle\dfrac19\cos9t+\dfrac{35}9,\dfrac16\cos6t+\dfrac{35}6,\dfrac92t^2+3\right\rangle$

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3 years ago

A population of bears decreases exponentially.

timurjin [86]

Answer:

0.8

Step-by-step explanation:

The annual factor will be found by dividing any year's population by the population of the year before. The points most easily read from the graph are the populations for years 0 and 1. Then the annual factor is ...

factor = (year 1 population)/(year 0 population) = 320/400

factor = 0.8

4 0

2 years ago

Write this number in word form 2,009,345

Annette [7]

Two million, nine thousand, three hundred forty five.

8 0

3 years ago

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Nonsense will be reported!!​

Nonsense will be reported!!