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3 years ago

What is the scale factor?AFGH - AMNOG9

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

6 0

Answer:

Scale factor: 1.666

x: 10

Step-by-step explanation:

These are two similar triangles, the triangle MNO has been scaled off triangle FGH.

To calculate the scale/dilation factor, you take 2 measurements of a similar side and you calculate the ratio.

Since we have the measurements for segments GH and NO, and these are similar sides, we'll use that to calculate the scale/dilation factor of MNO over FGH.

$\frac{NO}{GH} = \frac{15}{9} = \frac{5}{3}$

Dilation factor is 5/3... or 1.666

if you're also looking for value of x, it would be 6 * 1.666 = 10

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I need help with this (write an inequality)

kipiarov [429]

Answer:

A.)x-9>20

B.) x-7>12

C.) 8×y>16

D.) y÷7 ≤-5

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3 years ago

Read 2 more answers

Determine the rational zeros for the function f(x)=x^3+7x^2+7x-15

alexandr402 [8]

Answer:

1,-3,-5

Step-by-step explanation:

Given:

f(x)=x^3+7x^2+7x-15

Finding all the possible rational zeros of f(x)

p= ±1,±3,±5,±15 (factors of coefficient of last term)

q=±1(factors of coefficient of leading term)

p/q=±1,±3,±5,±15

Now finding the rational zeros using rational root theorem

f(p/q)

f(1)=1+7+7-15

f(-1)= -1 +7-7-15

= -16

f(3)=27+7(9)+21-15

=96

f(-3)= (-3)^3+7(-3)^2+7(-3)-15

= 0

f(5)=5^3+7(5)^2+7(5)-15

=320

f(-5)=(-5)^3+7(-5)^2+7(-5)-15

f(15)=(15)^3+7(15)^2+7(15)-15

=5040

f(-15)=(-15)^3+7(-15)^2+7(-15)-15

=-1920

Hence the rational roots are 1,-3,-5 !

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3 years ago

Read 2 more answers

A large tank is filled to capacity with 300 gallons of pure water. brine containing 5 pounds of salt per gallon is pumped into t

Licemer1 [7]

If $A(t)$ is the amount of salt in the tank at time $t$ , then the rate at which this amount changes over time is given by the ODE

$A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{5\text{ lb}}{1\text{ gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}$

$A'(t)+\dfrac1{100}A(t)=15$

We're told that the tank initially starts with no salt in the water, so $A(0)=0$ .

Multiply both sides by an integrating factor, $e^{t/100}$ :

$e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=15e^{t/100}$
$\left(e^{t/100}A(t)\right)'=15e^{t/100}$
$e^{t/100}A(t)=1500e^{t/100}+C$
$A(t)=1500+Ce^{-t/100}$

Since $A(0)=0$ , we have

$0=1500+C\implies C=-1500$

so that the amount of salt in the tank over time is given by

$A(t)=1500(1-e^{-t/100})$

After 10 minutes, the amount of salt in the tank is

$A(10)=1500(1-e^{-1/10})\approx142.74\text{ lb}$

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3 years ago

The density of acetic acid is 1.05 g/mL. What is the volume of 327 g of acetic acid?

steposvetlana [31]

This is a chemistry problem btw. But, either way, the formula for density is mass per unit of volume. To solve for volume, bring the D over to get M/D = V
(327g)/(1.05g/ml) is the equation. Grams cancel and you’re stuck with 311.428571mL. That isn’t your answer tho, because that isn’t the right amount of sig figs. We have two figs at the least so the right answer would be 311.42 or 311.43mL. We want it in scientific notation, so move the decimal place between 3 and 1. That’s two spots to the left, so the power would be 2. C is your right answer

My chem professor told me to round to even instead of rounding up all the time. Either way, the hundreds place is always a percent error of plus or minus 0.01

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3 years ago

A $20 bill two $10 bills three $5 bills and four $1 bills are placed in a bag. If a bill is chosen at random what is the expecte

muminat

Answer: Hello mate!

You have one $20 bill, two $10 bills, three $5 bills and four $1 bills in a bag.

This adds to a total of 10 bills in the bag, and you want to know the expected value if you took one at random.

The expected value is defined as ∑pₙxₙ

where pₙ is the probability for each event (in this case is the number of bills of a given price divided the number of bills in the bag) and xₙ is the value of the bill.

Then we can write the expected value as:

E = (1/10)*$20 + (2/10)*$10 + (3/10)*$5 + (4/10)*$1 = (1/10)( 20$ + 2*$10 + 3*$5 + 4*$1) = (1/10)*($59) = $5.90

The expected value is $5.90.

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3 years ago

What is the scale factor?AFGH - AMNOG9​

What is the scale factor?AFGH - AMNOG9