Simplify (ei^4) (ei)^3

Find the volume of the figure. Round your answer to the nearest tenth, if necessary. For your answer just put the number. DO NOT

AleksandrR [38]

V = l x W x H
————- = 220
3

8 0

3 years ago

Choose the congruence theorem that you would use to prove the triangles congruent.

Elena L [17]

Answer:

SAS

Explanation:

Before solving the problem, let's define each of the given theorems:

1- SSS (side-side-side): This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

2- SAS (side-angle-side): This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

3- ASA (angle-side-angle): This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

4- AAS (angle-angle-side): This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

Now, let's check the given triangles:

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by SAS theorem

Hope this helps :)

5 0

3 years ago

Read 2 more answers

The perimeter of a square is 24 4/9 in, and its side is 6 1/9 in. Find its area.

ra1l [238]

Area = side * side
Area of the square = 6 1/9 * 6/1/9
= 36 1/81

7 0

2 years ago

Terry is skiing down a steep hill. Terry's elevation, E(t), in feet after t seconds is given by E(t)=2600−50t.

lesya692 [45]

Answer:

Part 1) The equation tells us that Terry started at an elevation of 2,600 ft

Part 2) The elevation is decreasing by 50 feet each second

Step-by-step explanation:

we have

$E(t)=2,600-50t$

where

E(t) is Terry's elevation in feet

t is the time in seconds

Part 1) Find the E intercept of the equation

The E-intercept is the value of E when the value of t is equal to zero

so

For t=0

substitute

$E(0)=2,600-50(0)$

$E(0)=2,600\ ft$

therefore

The equation tells us that Terry started at an elevation of 2,600 ft

Part 2) Find the slope of the equation

we have

$E(t)=2,600-50t$

This is the equation of the line into slope intercept form

The slope m is equal to

$m=-50\ ft/sec$

The slope is negative, because is decreasing

therefore

The elevation is decreasing by 50 feet each second

6 0

3 years ago

Convert 11.42424242 to a rational expression in the form a/b, where b=0

lutik1710 [3]

I think you mean b is not equal to 0.

We have that 11.424242... = 11 + 0.424242...
Now let x = 0.424242...
Then 100x = 42.424242...
Now 99x = 100x - x = 42 so 99x = 42 and therefore x = 42/99

Now we can simplify 42/99 to 14/33

Now combining this we get 11.424242... = 11 + 14/33
= 363/33 + 14/33 = 377/33

5 0

2 years ago