which choice is equivalent to the expression below? 12^-2
12 Points!!!!

Answer:

1.

A: Rectangular prism

B: Square pyramid

C: Triangular prism

2.

A: 82 square units

B: 48 square units

C: 48 square units (again)

Somehow Nets B & C have the same surface area.

Step-by-step explanation:

2A:

2(6 * 5) + 2(5) + 2(6)

2(30) + 10 + 12

60 + 22

82 square units

2B:

4((4 * 4)/2) + (4 * 4)

4(16/2) + 16

4(8) + 16

32 + 16

48 square units

2C:

2((3 * 4)/2) + (3 * 3) + (3 * 4) + (3 * 5)

2(12/2) + 9 + 12 + 15

12 + 9 + 27

12 + 36

48 square units

Here's the solution,

figure 1.

by using trigonometry,

=》

[tex] \sin(60) = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{ \sqrt{3} }{2} = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{ \sqrt{3} }{2 \times 5 \sqrt{3} } [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{1}{10} [/tex]

=》

[tex]y = 10[/tex]

And,

=》

[tex] \cos(60) = \dfrac{w}{y} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{w}{10} [/tex]

=》

[tex]w = 5[/tex]

So, values are :

figure 2.

Since, it's an isosceles triangle, w = y,

So, by pythagoras theorem :

=》

[tex] {w}^{2} + {y}^{2} = (7 \sqrt{2} ) {}^{2} [/tex]

=》

[tex] {w}^{2} + {w}^{2} = 98[/tex]

=》

[tex]2 {w}^{2} = 98[/tex]

=》

[tex] {w}^{2} = 49[/tex]

=》

[tex]w = \sqrt{49} [/tex]

=》

[tex]w = 7[/tex]

and we know, w = y, so their values will be equal to 7 units.

Answer:# of cars: 1 | 0 | 0 | 0 | 2 | 4 | 5 | 3 | 0 | 2 | 2 | 1 |

Note: the answers are from left to right in order

Step-by-step explanation:

So this isn't as hard as it seems. You just count the X's and if there is like for example 1 x on 30 then the answer for 30 is 1 since there is only 1 X.

Answer: $5.52

Step-by-step explanation:

Given: Sam paid $8.28 for 18 stamps.

Thus, the cost of 18 stamps = $8.28

Then the cost of 1 stamp=

Thus, the cost of 1 stamp=$0.46

With the same rate , the cost of 12 stamps=

Therefore, the cost of 12 stamps= $5.52

hence, it costs $5.52 to Sam to buy 12 stamps.

8.28÷18 = 0.46

0.46 is the cost if 1 stamp

cost of 12 stamps= 0.46×12 = $5.52

happy to help :)

Answer:

-10 / -2/5

Step-by-step explanation:

-10 / -2/5 = 25

25 is greater than 10

Answer:

18 liters

Step-by-step explanation:

12/6 = 2 liters per day

2 x 9 = 18 liters

Step-by-step explanation:

by using Pythagoras law

ZY=√{45²-27²)=36

sin X=ZY/XY=36/45=0.8

Cos X=XZ/XY=27/45=0.6

Tan X= YZ/XZ=36/27=1.33

Answer:

-4/13

Step-by-step explanation:

(17 , -19)  ; (4 , -15)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{-15-[-19]}{4-17}\\\\=\frac{-15+19}{4-17}\\\\=\frac{4}{-13}\\\\= \frac{-4}{13}[/tex]

Answer:

- 4 / 13

Step-by-step explanation:

Algebra work is easy :)

good luckkk

9514 1404 393

Answer:

  C

Step-by-step explanation:

Solve for y to find the inverse:

  x = f(y)

  x = y/3 -2

  x +2 = y/3

  y = 3(x +2)

  f⁻¹(x) = 3(x +2) . . . . the inverse function

Answer:

Coordinates (1,6)

Equation x=1

Step-by-step explanation:

Center of highest point is 1 on the x and 6 on the y

Answer:

90 hope this helps

Step-by-step explanation:

Answer:

12 ft^3

Step-by-step explanation:

Given data

Dimension

Lenght= 2ft

Width= 3ft

Height= 2ft

The expression for the volume is

Volume= L*W*H

Substitute

V= 2*3*2

V= 12 ft^3

Hence the volume of the box is 12 ft^3

Answer:

m puq

Step-by-step explanation:

Answer:

Rise it to 2

( x ^2 ) ^2 − 9 ^2 = 0

Step-by-step explanation:

Answer:

Parallelograms

Step-by-step explanation:

Answer:

24/5 or 4 and 4/5

Step-by-step explanation:

3 and 3/4=15/4

18 divided by 15/4=4 and 4/5

4 and 4/5=24/5

24/5 times 15/4=18

Answer:

I agree with the person above but I'm not so sure.

Answer:

b

Step-by-step explanation:

check 1 by 1

a. [tex]y=\frac{\sqrt[3]{x}}{5}[/tex]

[tex]x=\frac{\sqrt[3]{y} }{5}[/tex]

125x^3=y which is not equal to g(x)

b. y=2x-9

inverse= x=2y-9

x+9=2y

y=(x+9)/2 which is equal to g(x). B is the answer.

Answer:

I don’t know but I know 27 times 630 plus 19 times 680 is 29,930 I’ve tried some other ways but it gets really close but not exact

Step-by-step explanation:

Answer:

20,000x.052/12

Step-by-step explanation:

Answer:

x=27°

y=4 units

Step-by-step explanation:

To find x:

The sum of all the angles in a quadrilateral is 360°. In a rhombus (you know it's a rhombus because it's a quatrilateral where all the sides are congruent), opposite angles are congruent. Because you're given that the measure of ∠T is 127°, you also know that m∠V=127°. You also know that m∠U=m∠S=(2x-1)°.

Using this information, set up an equation.

127+127+(2x-1)+(2x-1)=360

You can just divide both sides by 2 to get:

127+(2x-1)=180

Then, just solve for x.

127+2x-1=180

2x+126=180

2x=54

x=27°

To find y:

All the sides are given to be congruent. That's what the little marks on the sides mean, and that's how we knew it was a rhombus earlier.

So SV=VU=UT=TS

SV=6y-5

VU=3y+7

Since SV=VU:

6y-5=3y+7

Solve for y.

3y=12

y=4

Hope I could help!

Answer:

C.

Step-by-step explanation:

When you check the point that is on X, it is a little over halfway to the point 1,2. It would be like 1,1.5 or 1,1.6.

5/3 is the equivalent to 1.6 so that answer would make the most sense.

Answer:

5/3

Step-by-step explanation:

3 Apples cost $5, so each apple cost 5 divided 3 ( 5 over 3).

Answer:

B

Step-by-step explanation:

The first one is a binomial. It has two different terms on either side of the middle minus sign. y is raised to the 4 th power so that is degree 4. The answer is b

The second problem is ordered as 4 3 1 2

The powers determine the degree. The terms are all different and the number of terms is determined by the powers of the letters in the terms.

Answer:

Step-by-step explanation:

Answer:

Draw a horizontal line across a page of paper, somewhere in the middle. Mark a point A on the line, toward the left margin.

Spread open a compass to make good sized circle, but so that if the point of the compass is on the point you drew, the pencil fits on the page, both below the top edge and to the left of the right edge of the page. Draw the arc, from roughly the 12 O’Clock position over and down to the intersection of the line segment, at the 3 O’Clock position.

Call the opening of your compass, the radius of the arc you just drew, “5 units”.

Pick any point on the arc between the 12 and 3 positions, B. Drop a line down from that point B, perpendicular to the original horizontal line. Label the point that it intersects the horizontal line, C.

ABC is a right triangle with hypotenuse 5. Do this again with a point a little closer to the 3 O’Clock position. It’s another right triangle with hypotenuse 5.

Indeed, as you get closer to the right, along the arc, the height of the triangle declines, but the width of the triangle increases. The hypotenuse remains 5 in all cases. We picked points on the circle. We could have picked points on the horizontal line first, and raised perpendicular lines until they intersected the circle. Each point forms a distinct right triangle.

There are as many possible right triangles as there are possible points in a line segment.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The lowest value of the set of data in the boxplot is 12.

12 is the lowest as:

15 is the lower quartile.

16 is the median.

18 is the upper quartile.

20 is the highest value.

The answer would be -8.4.

Answer:

[tex]5.4 - 7.5 - 6.3 = 5.4 - 13.8 \\ = - 8.4[/tex]

Answer:

12,750

Step-by-step explanation:

After investing for 10 years at 4.31% interest, your $8,361 investment will have grown to $12,750

Answer:

a. the error is that he wrote 0.05 instead of 0.2

0.148835 ≈ 0.2

b.

0.2 = 2 × 0.1

0.2 = 2 × 10⁻¹

The mass is about 2 × 10⁻¹ kg