A trapezoid is plotted on the coordinate plane

Which of the following numbers would appear between 0.1 and 1.0 on the number line?

Bad White [126]

There are an infinite set of values which would work

3 0

3 years ago

If there is more then more solution, separate them with commas.)<br> (2x + 9)(3-z) = 0

bagirrra123 [75]

Answer:

Step-by-step explanation:

hello :

(2x + 9)(3-z) = 0 means : 2x+9=0 or 3-z=0

x= -9/2 or z=3

3 0

3 years ago

Which of the following is equivalent to tan2θcos(2θ) for all values of θ for which tan2θcos(2θ) is defined?

Aloiza [94]

Answer:

2sin²θ - tan²θ

Step-by-step explanation:

Given

tan²θcos(2θ)

Required

Simplify

We start by simplifying cos(2θ)

cos(2θ) = cos(θ+θ)

From Cosine formula

cos(A+A) = cosAcosA - sinAsinA

cos(A+A) = cos²A - sin²A

By comparison

cos(2θ) = cos(θ+θ)

cos(2θ) = cos²θ - sin²θ ----- equation 1

Recall that cos²θ + sin²θ = 1

Make sin²θ the subject of formula

sin²θ = 1 - cos²θ

Substitute sin²θ = 1 - cos²θ in equation 1

cos(2θ) = cos²θ - (1 - cos²θ)

cos(2θ) = cos²θ - 1 +cos²θ

cos(2θ) = cos²θ + cos²θ - 1

cos(2θ) = 2cos²θ - 1

Substitute 2cos²θ - 1 for cos(2θ) in the given question

tan²θcos(2θ) becomes

tan²θ(2cos²θ - 1)

Open brackets

2cos²θtan²θ - tan²θ

------------------------

Simplify tan²θ

tan²θ = (tanθ)²

Recall that tanθ = sinθ/cosθ

So, we have

tan²θ = (sinθ/cosθ)²

tan²θ = sin²θ/cos²θ

------------------------

Substitute sin²θ/cos²θ for tan²θ

2cos²θtan²θ - tan²θ becomes

2cos²θ(sin²θ/cos²θ) - tan²θ

Open bracket (cos²θ will cancel out cos²θ) to give

2(sin²θ) - tan²θ

2sin²θ - tan²θ

Hence, the simplification of tan²θcos(2θ) is 2sin²θ - tan²θ

Option E is correct

7 0

3 years ago

HELP ME ON GEOMETRY!!! PLZ<br> NO LINKS! > i will report.

DiKsa [7]

Answer

I believe B.)8in3 is the right answer according to the square-cube law.

Step-by-step explanation:

3 0

2 years ago

Above are two different models of the same triangular-shaped garden. If the height of the model on the left is 14 cm, what is th

Katyanochek1 [597]

Please consider the attached graph.

We have been given that there are two different models of the same triangular-shaped garden. The height of the model on the left is 14 cm. We are asked to find the height of the model.

First of all, we will convert 14 cm into feet.

We can see that model on left side has a scale of 1 cm is equal to 15 feet.

14 cm = 14×15 feet = 210 feet.

We can see that model on the right side has a scale of 1 cm is equal to 7.5 feet.

Since both models represent same triangular-shaped garden, so the actual height for the both models will be same.

Now we need to convert actual height of 210 feet into inches using 2nd scale.

$\text{210 ft}=210\text{ ft}\times \frac{1\text{ inch}}{\text{7.5 ft}}=\frac{210}{7.5}\text{ inch}=28\text{ inch}$

Therefore, the height of the model on right is 28 inches.

5 0

3 years ago