Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}

Answer:

Step-by-step explanation:

using pythagoras theorem

a^2+b^2=c^2

15^2+a^2=17^2

a^2=289-225

a^2=64

a=[tex]\sqrt{64}[/tex]

a=8

Answer:

C. 69.1

Step-by-step explanation:

Circumference formual = 2pi r

2 × 3.14 × 11

69.1cm

The circumference of the circle is 69.1 cm.

The circumference of a circle refers to the measure of its boundary. If we open a circle and measure the boundary just like we measure a straight line.

Given that a circle with radius 11 cm, we need to find the circumference of the circle,

Circumference = π × 2 × radius

= 3.14 × 2 × 11

= 69.1 cm

Hence, the circumference of the circle is 69.1 cm.

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Answer:

I think the answer is C 0.83 based on the math I did

Step-by-step explanation:

The probability of winning one prize in 3 attempts is P = 0.41, so the correct option is A.

We know that the probability of winning a prize is 0.45, then the probability of not winning a prize is:

q = 1 - 0.45 = 0.55

Out of 3 attempts, the probability of winning one prize is:

P(1) = (0.45)*(0.55)^2*p

where p is the number of permutations, you can win on the first attempt, second attempt, or third attempt, so there are 3 permutations.

Then the probability is:

P(1) = (0.45)*(0.55)^2*3 = 0.41

So the correct option is A.

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Answer:

C and D

Step-by-step explanation:

an input gives one output

Answer:

x=6

ABC= 135 degrees

Step-by-step explanation:

ABE and CBD are congruent angles (don't remember the theorem)

therefore

3x+27=45

solve for x

x=6

ABC and CBD are supplementary (meaning they add to 180)

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

A=(b1+b2)h/2

Answer:

2,500

Step-by-step explanation:

Have a good day :)

Answer:

16

Step-by-step explanation:

Y=Mx+b where m is the slope and b is the y intercept

y=5x+16 where 5 is the slope and 16 is the y intercept.

Answer:

1,260 helmets

Step-by-step explanation:

100/225 × 2,835 = 1,260

Answer:

Every Odd Integer is of the form 2q+1

Take 5 as our test odd Number

2(5) + 1 = 11.

This works and Nothing else will from the set of Options.

SO OPTION D IS LEGIT!

Answer:

[ 3 , ∞ ) Set-Builder Notation:

{ x | x ≥ 3 }

Step-by-step explanation:

Answer:

2/5.......................

Answer:

Aprox: 1.61

Step-by-step explanation:

TOA: Tan Q = Opposite/Adjacent = 45/28 ---> 1.61

Answer:

28/45≈1.6071≈1.61

Step-by-step explanation:

Answer:

[tex]m = \frac{4 - 3}{3 - 6} \\ m = \frac{1}{ - 3} \\ f(x) = \frac{ - 1}{3} x + 5

Answer:

(y2 -y1) / (x2 - x1)

Step-by-step explanation:

use that formula. The answer should be -3/0 which doesn't make sense. Are you sure you have your x values correct? Since in that case it would be a straight line and the equation for that would be x = 6 since it is a straight line up with no y intercept.

Hope that helped

Answer:

Undefined

Step-by-step explanation:

GIVEN :-

A line passes through two points , and their coordinates are given below :-

TO FIND :-

FORMULAE TO KNOW BEFORE SOLVING :-

Lets say there's a line passing through (x₁ , y₁) & (x₂ , y₂).

[tex]=> Slope \: of \: the \: line = \frac{Rise}{Run} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

SOLUTION :-

According to the question ,

[tex]=> Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 -(-5)}{6 - 6} = \frac{-8 + 5}{0} = \frac{-3}{0}[/tex] = undefined (∵ Anything divided by 0 is undefined.)

Answer:

d. (9,-260°)

Step-by-step explanation:

100° = 100-360 = -260°

The value of x that makes ABCD a parallelogram is C. x = 70°.

Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.

Opposite sides are parallel, and the opposite sides and opposite angles are equal.

Given that ABCD is a parallelogram.

We know that opposite angles of a parallelogram are equal.

It is already given.

Also, adjacent angles of a parallelogram is equal to 180°.

So,

x + 40 + 70 = 180

x + 110 = 180

x = 180 - 110

x = 70

Hence the correct option is C. x = 70°.

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9514 1404 393

Answer:

  B, D, E

Step-by-step explanation:

All of the acute angles are congruent to each other. All of the obtuse angles are supplementary to them and are also congruent to each other. Angles 2, 3, 6, 7 are supplementary to angle 4. The ones on the list of choices are ...

  ∠2, ∠6, ∠7

Answer:

B.

Step-by-step explanation:

Answer:

1.37

Step-by-step explanation:

1

Answer:

Area = 96 square cm

Step-by-step explanation:

Area of the figure = (2 x Area of triangles) + Area of square

[tex]Area \ of \ triangle = \frac{1}{2} \times base \ height = \frac{1}{2} \times 8\times 4 = 16cm^2\\\\Area \ of \ square = side \times side = 8 \times 8 = 64cm^2[/tex]

Therefore, [tex]Area \ of \ the\ figure = (2 \times 16) + 64 = 32 + 64 = 96cm^2[/tex]

Answer:

Option D

Step-by-step explanation:

By the property of intersecting chords,

If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.

DI × EI = HI × GI

12 × EI = 8 × 6

EI = [tex]\frac{48}{12}[/tex]

EI = 4

Therefore, Option D is the correct option.

Answer:

17

Step-by-step explanation:

the following equation can be derived from the question

7 = 1/3(4 + n)

multiply both sides of the question by 3

21 = 4 + n

combine like terms

21 - 4 = n

n = 17

Answer:

Measurement of OP = 12

Step-by-step explanation:

Given:

R is mid point of OQ

S is mid point of PQ

RS = 18 – 4x

OP = -9 + 7x

Find:

Measurement of OP

Computation:

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

So,

[1/2][-9 + 7x] = [18 - 4x]

[-9 + 7x] = 2[18 - 4x]

-9 + 7x = 36 - 8x

7x + 8x = 36 + 9

15x = 45

x = 45 / 15

x = 3

So,

OP = -9 + 7x

OP = -9 + 7(3)

Measurement of OP = 12

Answer:

1/18

Step-by-step explanation:

There are 2 ways to get the sum of 11

5,6 and 6,5

therefore 2/36=1/18

Answer:

9514 1404 393

Answer:

  Identity Property

Step-by-step explanation:

The identity property of addition is illustrated.

The identity element is 0. It is the additive identity element because the original value retains its identity when 0 is added.

Answer:

here you go (could i maybe get the crown thing)

Step-by-step explanation:

ok so we have to take a look and see what kind of ratio this is going to be

so we look and it shows its SIN (o/h)

so what that means is that A= o/h

o=12 and h=22

so your answer would be A=12/22

Answer:

The answer is C (Resort B gets more snowfall than Resort A)

Step-by-step explanation:

According to the diagram, Resort A gets 375 inches of Snowfall, and Resort B gets 400. 375 < 400

Answer:

5.89 feet.

Step-by-step explanation:

I just took the test :)

The arc length the car traveled, to the nearest hundredth is 5.88 feet, the correct option is A.

A circle is a round-shaped figure with all points lie in the same plane, the distance between all the points on the circle and the center of the circle is equal.

The line that passes through the center of the circle and has end point on the circumference is called the diameter, the radius is half the measure of the diameter.

A Ferris wheel car moves from point C to point D on the circle.

Circle A is shown with points C and D on the circle and the central angle C A D marked 45 degrees.

The diameter is 15 feet.

The arc length is determined by using the formula

L = ( [tex]\rm \theta[/tex]/ 360) * 2 π r

L = ( 45 / 360) * 2 * 3.14 * r

r =  diameter / 2

r = 15/2 = 7.5 ft

L =  ( 45 / 360) * 2 * 3.14 * 7.5)

L = 5.8875 ft

L = 5.89 feet.

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