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FinnZ [79.3K]
2 years ago
11

Which proportion could be used to determine if the figures could represent a dilation?

Mathematics
1 answer:
nikdorinn [45]2 years ago
7 0

Answer:

The answer will be A <u>3/2=6/4</u>

Step-by-step explanation:

Hope this helps :)

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The function A=A_oe^{-0.01155x} A = A o e − 0.01155 x models the amount in pounds of a particular radioactive material stored in
vivado [14]

They are essentially asking us to solve:

357=900e^{-0.01155x} \implies\\ \frac{357}{900}=e^{-0.01155x} \implies\\ \ln{\frac{357}{900}}=-0.01155x \implies \\ x\approx 80.1

Solving this equation for x tells us that it will take around 80.1 years for the materials in the vault to reduce to 357 pounds.

4 0
3 years ago
Read 2 more answers
Engineering An overpass intersects two
JulijaS [17]

Answer:

they are already paralell

Step-by-step explanation:

ok

4 0
2 years ago
Jake is using a horse trailer to take his horses to his new ranch. 1 Horse= 1,200 lb Trailer= 2,700 lb Jake's truck can tow a ma
Kitty [74]

Answer:

Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.

Step-by-step explanation:

Given:

Weight of 1 horse = 1,200 lb

Weight of trailer = 2,700 lb

Jacks'truck can tow a maximum of 5000 pounds.

To find the maximum number of horses Jack can take in his trailer without going over the maximum weight his truck can tow.

Solution:

Let the maximum number of horses that Jack can take be = x

Using unitary method to find weight of x horses.

If 1 horse weights = 1,200 lb

Then x horses will weight in lbs = 1,200\times x = 1,200x

Total weight of horses and trailer in lbs = 1200x+2700

Since the maximum weight the truck can tow = 5,000 lb, so the inequality can be given as:

1200x+2700\leq5000

Subtracting both sides by 2700.

1200x+2700-2700\leq5000-2700

1200x\leq2300

Dividing both sides by 1200.

\frac{1200x}{1200}\leq\frac{2300}{1200}

x\leq1.91

From the inequality solution for x, we can conclude that Jack can take only 1 horse on his trailer to be towed by the truck without going over the maximum weight the truck.

3 0
3 years ago
Use a number line to find the value of the expression -4+4-9 what property can you use to make your calculation easier explain
Bess [88]
You can put the -4 and -9 together and put it at the end to make the new sequence 4-13 which would leave you with -9
8 0
3 years ago
A right pyramid with a square base has a base edge length of 12 meters and slant height of 6 meters. The apothem is meters. The
Kisachek [45]

Answer:

Apothem: 6m

hypotenuse : slant height : 6√2 m

height :6m

volume: 288m2

Step-by-step explanation:

Hi, the correct values are: (image  attached down below)

Base length= 12m

Slant height  is actually = 6√2

So, to calculate the apothem (AC)we apply the Pythagorean theorem:

AB^2 = AC^2 + BC^2

√AB^2 -BC^2 = AC

AC = √(6√2)^2 - 6^2

AC =6 meters

Hypotenuse of ABC = AB =6√2 meters

Height = AC = 6 meters

Volume:

Volume of a pyramid = 1/3 x base area x height

area of a square = side length ^2 = 12^2

V= 1/3 x 12^2 x 6 =288 m2

7 0
3 years ago
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