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2 years ago

Pls help!! 15 points!

Mathematics

2 answers:

Vesna [10]2 years ago

6 0

When trapezoidal prism undergoes a dilation, the size of the prism changes

The height of the image is 52.2 meters

<h3>How to determine the height of the image?</h3>

The given parameters are:

A1 = 35 m²

A2 = 315 m²

H1 = 5.8 m

To calculate the height of the image, we make use of the following equivalent ratio

A1 : H1 = A2 : H2

So, we have:

35 : 5.8 = 315 : H

Express as fractions

35/5.8 = 315/H

Make H the subject

H = 315 * 5.8/35

Evaluate the product

H = 52.2

Hence, the height of the image is 52.2 meters

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faust18 [17]

Answer:

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Step-by-step explanation:

4 0

2 years ago

The molar mass of AlCl3 is 133.34 g/mol. How many molecules of AlCl3 are there in 2 g?

Mnenie [13.5K]

To solve this problem, we have to apply mole-concept to this and we would need the molar mass of AlCl3. 2g of AlCl3 contains 9.034*10^21 molecules.

<h3>Number of Molecules in 2g of AlCl3</h3>

The molar mass of AlCl3 is given as 133.34g/mol

Data;

mass = 2g
molar mass = 133.34g/mol

Using the mole concept, we can equate the molar mass to the number of molecules present in the entity.

$133.34g = 6.023*10^2^3$

If we equate this

$133.34g = 6.023*10^2^3\\2g = x molecules\\x = \frac{2*6.023*10^2^3}{133.34} \\x = 9.034*10^2^1 molecules$

From the calculations above, 2g of AlCl3 contains 9.034*10^21 molecules.

Learn more on mole concept here;

brainly.com/question/21150359

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5 0

1 year ago

3 people can build a shed in 8 hours how long would it take 5 people

harkovskaia [24]

Answer:

3howers

Step-by-step explanation:

Step-by-step exaplanation

8 0

3 years ago

Graph triangle RST with vertices R(3, 7), S(-5, -2), and T(3, -5) and its image after a reflection over x = -3.

kirill115 [55]

Given:

The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).

To find:

The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.

Solution:

If a figure reflected across the line x=a, then

$(x,y)\to (-(x-a)+a,y)$

$(x,y)\to (-x+a+a,y)$

$(x,y)\to (2a-x,y)$

The triangle after a reflection over x = -3. So, the rule of reflection is

$(x,y)\to (2(-3)-x,y)$

$(x,y)\to (-6-x,y)$

The vertices of triangle after reflection are

$R(3,7)\to R'(-6-3,7)$

$R(3,7)\to R'(-9,7)$

Similarly,

$S(-5,-2)\to S'(-6-(-5),-2)$

$S(-5,-2)\to S'(-6+5,-2)$

$S(-5,-2)\to S'(-1,-2)$

And,

$T(3,-5)\to T'(-6-3,-5)$

$T(3,-5)\to T'(-9,-5)$

Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).

3 0

3 years ago

How is an equation like an expression? How is it different?

morpeh [17]

Answer:

See explanation.

Step-by-step explanation:

An expression is a <u>set of terms that are combined using addition, subtraction, multiplication, or division.</u> The following are examples of expressions:

$2x-1$