PLS HELP ASAP does anyone know these answers

Without using (10), show directly that (10.6^-1)^8=17.6^-8

blagie [28]

We are given the expression:

(17.6^-1)^8 = 17.6 ^ -8

This means that the two terms on each side are equal. We are asked to show how this is possible.

First, use the rule of exponents. If a term raised to the power of a number x^n and is further raised to the power m: (x^n)^m, to simplify the expression, multiply n and m and this will be your end exponent = x^nm.

We can apply this rule here:

17.6^-1 ^ 8

-1 * 8 = -8

then, retain the base and replace the exponent with the product nm:

17.6 ^-8. This proves that the left term is equal to the right term.

3 0

3 years ago

What is the measure of arc KL? 20° 40° 48° 96°

mash [69]

The question is incomplete. The complete question is here

Angle KJL measures (7x - 8)° and angle KML measures (3x + 8)°. What is the measure of arc KL, if M and J lie on the circle ?

Answer:

The measure of arc KL is 40° ⇒ 2nd answer

Step-by-step explanation:

In any circle:

Inscribed angles subtended by the same arc are equal
If the vertex of an angle lies on the circles and its two sides are chords in the circle, then it called inscribed angle
The measure of an inscribed angle is equal to half the measure of its subtended arc

In a Circle

∵ M lies on the circle

∵ KL is an arc in the circle

∴ MK and ML are chords in the circle

∴ ∠KML is an inscribed angle subtended by arc KL

∵ J lies on the circle

∵ KL is an arc in the circle

∴ JK and JL are chords in the circle

∴ ∠KJL is an inscribed angle subtended by arc KL

∵ Inscribed angle subtended by the same arc are equal

∴ m∠KML = m∠KJL

∵ m∠KML = (3x + 8)°

∵ m∠KJL = (7x - 8)°

- Equate them to find x

∴ 7x - 8 = 3x + 8

- Subtract 3x from both sides

∴ 4x - 8 = 8

- Add 8 to both sides

∴ 4x = 16

- Divide both sides by 4

∴ x = 4

- Substitute the value of x in the m∠KML OR KJL to find its measure

∵ m∠KML = 3(4) + 8 = 12 + 8

∴ m∠KML = 20°

∴ m∠KJL = 20°

∵ The measure of an inscribed angle is equal to half the measure

of its subtended arc

∴ m∠KML = $\frac{1}{2}$ (m of arc KL)

∵ m∠KML = 20°

∴ 20 = $\frac{1}{2}$ (m of arc KL)

- Multiply both sides by 2

∴ 40° = m of arc KL

The measure of arc KL is 40°

7 0

3 years ago

Read 2 more answers

The height, s, of a ball thrown straight down with initial speed 32 ft/sec from a cliff 48 feet high is s(t) = –16t2 – 32t + 48,

aalyn [17]

Remember that when the ball hits the ground, s(t) = 0
So we have: -16t^2 - 32t + 48 = 0 
It's time to determine t = (-(-32) +/- sqrt((-32)^2 - 4(-16)(48))) / (2(-16)) 
t = (32 +/- sqrt(1024 + 3072)) / (-32) 
t = (32 +/- sqrt(4096)) / (-32) 
t = (32 +/- 64) / (-32) 
t = (48 or -32) / (-32) 
t = -1.5 or 1 
Since a negative number doesn't make sense, so t =1
Keep in mind that velocity is the derivative of the height, therefore: 
s'(t) = -32t - 32 
s'(t) = -32*1 - 32 
s'(t) = -32 - 32 
s'(t) = -64 
So the answer 64 feet per second dwn

8 0

3 years ago

Find x, y, and z 3 7 Z

FrozenT [24]

Step-by-step explanation:

If x=3, y=7 when x+y=z

z=3+7

z=10

7 0

3 years ago

A bag holds 5 pounds of pet food. If Paul uses the 5 pounds of food to fill 6 plastic containers equally, how much pet food will

Karolina [17]

Answer:

Is D for your question

Step-by-step explanation:

hope this helps

4 0

3 years ago