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Karo-lina-s [1.5K]
3 years ago
10

What is the correct multiplication of a cross product to solve for the missing dimension?

Mathematics
2 answers:
Olegator [25]3 years ago
7 0

Answer:

Step-by-step explanation:

The two rectangles are similar. The shapes are the same but the sizes are different. The ratio of the smaller rectangle to the bigger one is constant.

Comparing the sides of the two rectangles, we would take ratio of the width of both rectangles and equate it to ratio of the lengths of both rectangles. It becomes

3/5 : 12 = x : 20

(3/5)/12 = x/20

3/5 × 1/12 = x/20

3/60 = x/20

Cross multiplying

60 × x = 20 × 3

60x = 60

x = 60/60 = 1

The enlargement is in a scale of 5. Multiplying any length on the smaller rectangle by 5 will give the corresponding length of the bigger

Murljashka [212]3 years ago
7 0

Answer:

(3/5)(20)=12(x)

Step-by-step explanation:

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The equation (2x^2 - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2) is an example
Nookie1986 [14]

The method used is Distributive Property.

<h3>What is Distributive property?</h3>

The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.

Given:

(2x² - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2)

Here the property used is Distributive property.

Because distributive property in this way

a*(b+c)= a*b+ a*c

This is how a is being multiplied by with b and c.

Learn more about this Distributive property here:

brainly.com/question/4136433

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2 years ago
Select the two binomials that are factors of this trinomial x2+10x+16
Zigmanuir [339]

So for this trinomial, I will be factoring by grouping. Firstly, what two terms have a product of 16x^2 and a sum of 10x? That would be 8x and 2x. Replace 10x with 2x + 8x:

x^2+2x+8x+16

Next, factor x^2 + 2x and 8x + 16 separately. Make sure that they have the same quantity inside the parentheses: x(x+2)+8(x+2)

<u>Now you can rewrite this as (x+8)(x+2) , which is your final answer.</u>

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3 years ago
Please help, and get explanation but please make sure your correct tysm!
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The answer is 12,825 kg because if one car equals 1425 kg and a car carrier can hold 9 cars, then you just have to multiply 1425 by 9 to get 12,825
4 0
3 years ago
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Two of the angles in a triangle measure 41° and 61° What is the measure of the third angle?
professor190 [17]

Answer:

78 degrees

Step-by-step explanation:

All inner angles of a triangle make a sum of 180 degrees. Given 41 and 61 add up to 102, that leaves 78 degrees left to make 180

5 0
3 years ago
Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10
natka813 [3]

ANSWER

( \frac{2}{3} , \frac{1}{5} )

EXPLANATION

The first equation is

\frac{1}{2} x -  \frac{3}{4} y =  \frac{11}{60} ...(1)

The second equation is

\frac{2}{5} x  +  \frac{1}{6} y =  \frac{3}{10} ...(2)

We want to eliminate y, so we multiply the first equation by

\frac{4}{5}

\frac{4}{5}  \times \frac{1}{2} x - \frac{4}{5}    \times \frac{3}{4} y =  \frac{11}{60}  \times  \frac{4}{5}

\frac{2}{5} x - \frac{3}{5} y =  \frac{11}{75} ...(3)

We now subtract equation (3) from (2)

(\frac{2}{3} x  -  \frac{2}{3} x )+ ( \frac{1}{6} y -  -  \frac{3}{5}y ) =(  \frac{3}{10}  -  \frac{11}{75} )

\frac{1}{6} y  +  \frac{3}{5}y  =\frac{3}{10}  -  \frac{11}{75}

\frac{23}{30}y =  \frac{23}{150}

Multiply both sides by

\frac{30}{23}

\implies \:  \frac{30}{23} \times  \frac{23}{30}y=  \frac{23}{150}  \times  \frac{30}{23}

\implies \: y =  \frac{1}{5}

Substitute into the first equation to solve for x .

\frac{1}{2} x -  \frac{3}{4}  \times \frac{1}{5} =  \frac{11}{60}

Multiply to obtain

\frac{1}{2} x -  \frac{3}{20} =  \frac{11}{60}

\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}

\frac{1}{2} x = \frac{1}{3}

Multiply both sides by 2.

2 \times \frac{1}{2} x =2 \times  \frac{1}{3}

x = \frac{2}{3}

The solution is

( \frac{2}{3} , \frac{1}{5} )

5 0
3 years ago
Read 2 more answers
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