Line ET is tangent to circle A at T, and the measure of Arc TG is 70°.What is the measure of ∠GET?

A. 55°
B. 20°
C. 35°
D. 110°

Answers

Answer 1

Answer: Line ET is tangent to circle A at T

∴ ET ⊥ TN
∴ ∠ ETN = 90
the measure of Arc TG = 70

∠ TNG = half the measure of Arc TG = 0.5 *70 = 35

Δ ETN ⇒ The sum of all angles = 180

∴∠ GET = ∠ NET = 180 - (90 + 35 ) = 55

∴ The correct answer is option A. 55°

Answer 2

Answer:
I will calculate this problem in two ways

alternative method 1
we know that
The inscribed angle measures half of the arc it comprises.
∠TNE=(1/2)*arc TG------> (1/2)*70°----> 35°

the triangle TEN is a right triangle
∠TNE+∠GET=90°-----> by complementary angles
∠GET=90-35---> 55°

the answer is
∠GET=55°

alternative method 2
we know that
The measure of the external angle is the semi difference of the arcs that it covers.
∠GET=(1/2)*[arc TN-arc TG]---> (1/2)*[180-70]---> (1/2)*110---> 55°

the answer is
∠GET=55°

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Framingham Company wants to finance its expansion by selling 200,000 shares of stock at $35.20 each. The underwriting commission will be 5.5 percent of the value of the stock. Accounting, legal, and printing fees are $142,985. What is the total selling expense?
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How do you reduce or simplify a fraction?subtract the same number from the numerator and denominator
cancel out anything the numerator and denominator share
multiply the entire fraction by 1
use the negative reciprocal

Answers

Not really subtract, I would say divid the number they share from it, so 2/4 you can divide each by 2 to make it 1/2. Hope this helped!

Find all polar coordinates of point P where P = ordered pair 6 comma negative pi divided by 5.

Answers

Answer:

All polar coordinates of point P are $(6,-(\pi)/(5)+2n\pi)$ and $(-6,-(\pi)/(5)+(2n+1)\pi)$ , where n is an integer.

Step-by-step explanation:

The given point is

$P=(6,-(\pi)/(5))$

If a point is $P=(r,\theta)$ , then all polar coordinates of point P are defined as

$(r,\theta)=(r,\theta+2n\pi)$

$(r,\theta)=(-r,\theta-(2n+1)\pi)$

where n is an integer.

In the given point $r=6$ and $\theta=-(\pi)/(5)$ . So all polar coordinates of point P are defined as

$(6,-(\pi)/(5))=(6,-(\pi)/(5)+2n\pi)$

$(6,-(\pi)/(5))=(-6,-(\pi)/(5)+(2n+1)\pi)$

Therefore all polar coordinates of point P are $(6,-(\pi)/(5)+2n\pi)$ and $(-6,-(\pi)/(5)+(2n+1)\pi)$ , where n is an integer.

Answer:

P(6,-π/6) = (6, -π/6 + 2nπ) and P(-6,-π/6) = (-6, -π/6 + (2n+1)π)

Step-by-step explanation:

We need to find all polar coordinates of

$P = (6,(-\pi )/(6))$

The polar coordinates of any point can be reresented by (r,Ф)

where

(r,Ф) = (r, Ф+2nπ) where n is any integer and r is positive

and

(r,Ф) = (-r, Ф+(2n+1)π) where n is any integer and r is negative.

So, in the question given, r = 6 and Ф = -π/6

So, Polar coordinates will be:

P(6,-π/6) = (6, -π/6 + 2nπ) where where n is any integer and r is positive

and

P(-6,-π/6) = (-6, -π/6 + (2n+1)π) where n is any integer and r is negative.

Write a compound inequality that represents the evelation range for each type of plant life

Answers

Let E=elevation range
Low elevation=1700≤E≤2500
Mid elevation= 2500≤E≤4000
Sulbarine=4000≤E≤6500
Alpine=6500≤E≤14,410

Final answer:

To represent the elevation range for each type of plant life, write a compound inequality for each type using the minimum and maximum elevations.

Explanation:

To write a compound inequality to represent the elevation range for each type of plant life, we need to consider the minimum and maximum elevations for each type. Let's say Type A has a minimum elevation of 1000 ft and a maximum elevation of 3000 ft, and Type B has a minimum elevation of 2000 ft and a maximum elevation of 4000 ft. We can represent the elevation range for Type A as: 1000 ≤ x ≤ 3000, and for Type B as: 2000 ≤ x ≤ 4000.

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A project on Kickstarter.com was aiming to raise $15000 for a precision coffee press. They ended up with 714 supporters, raising 557% of their goal. How much did they raise?

Answers

The required solution is $83,550 raised.

It is required to find the amount did they raise.

What is percentage?

A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

Given:

For a precision coffee press=$15000

Supporters=714

Raised= 557% of their goal.

According to given question we have,

They raise

15000 x 5.57

= $83,550 raised

Therefore, the required solution is $83,550 raised.

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For this, we can set up a proportion.
Their aim was 15000, so if they raised 100% of their goal, they wouldve raised exactly 15000.
They raised 557%, so how much did they make?

Proportion:

$15000 100%
$x 557%

Our expression would be x=$15000*557% divided by 100%, which would be $83550, so... a lot of money.

(we did an “x” formation with the proportion, ie “connected” x with 100, and “connected” 15k and 557. The number connecting to x is what we divide the equation by, and the other two are multiplied and then divided by the first number connecting to x. Otherwise we couldve calculated 557% of 15000 and gotten the same result. Whichever way is easier for you :) )

A cube is a three dimensional solid with 6 square faces find the total surface area of a cube whose edges are each 5 feet in length

Answers

surface area of a cube = 6s^2
= 6(5)^2 = 6 x 25 = 150 square feet

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