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3 years ago

Which pairs of rectangles are similar polygons? pls help me

Mathematics

1 answer:

Orlov [11]3 years ago

6 0

Answer:

3.√

4.√

Step-by-step explanation:

similar rectangles have proportional sides so compare corresponding sides to check

1. 169/1.3 = 49/0.7 → 130 ≠70 no

2. 18.55/5.3 = 10.5/3.5 → 3.5 ≠ 3 no

3. 120/24 = 60/12 → 5 = 5 yes

4. 189/2.1 = 81/0.9 → 90 = 90 yes

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Show with work please.

kolbaska11 [484]

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that $\text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$

Solving the difference of sin:

$-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)$

$-\cos \left(\theta\right) \cdot 1+0\cdot \sin \left(\theta\right)$

$-\text{cos} \left(\theta\right)$

Then,

$\csc \left(\theta-\frac{\pi }{2}\right)=-\frac{1}{\cos \left(\theta\right)}$

Once

$\text{sec}(-\theta)=\text{sec}(\theta)$

And, $\text{sec}(\theta)=-0.73$

$-\frac{1}{\cos \left(\theta\right)}=-\text{sec}(\theta)$

$-\frac{1}{\cos \left(\theta\right)}=-(-0.73)$

$-\frac{1}{\cos \left(\theta\right)}=0.73$

Therefore,

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

3 0

2 years ago

Suppose that farmers grew an unexpectedly large number of tomatoes this year. How would this increase in production affect the p

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Three brothers, Andy, Bob, and Curly, take a taxi together home from the

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Answer:

See explanation

Step-by-step explanation:

not sure what class this is for but I\ll try. Each traveller has a 21 km drive so their fare should be equal.

method 1) each traveller can pay for 21 km worth when they get out

method 2) Curly can pay the full fare and Andy and Bob can pay him back later (they're brothers so this should be easy to manage)

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2 years ago

Solve 3(x - 2) < 18.

Inessa05 [86]

Answer:

3x - 6 < 18

3x < 24

x < 8

answer is a

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3 years ago

What are the answer to this question

IrinaK [193]

Answer: t=-3h+25

Step-by-step explanation:

t=-3h+25

25 degrees is a constant-- it never changes, no matter how many hours goes by. So, you don't multiply a variable with it.

The temperature drops every 3 hours-- this is not constant, since it's dependent on the number of hours that passes. So, use a variable here. Since the temperature drops every three hours, it's -3, and not 3.

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2 years ago

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