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3 years ago

The transformation maps ΔABC to ΔA'B'C'. Which statement is true about the transformation?

Mathematics

2 answers:

weeeeeb [17]3 years ago

8 0

The answer is the second option

zepelin [54]3 years ago

3 0

It is isometric because all side lengths and angle measures remained the same.

I hope this help.

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At a coffee shop, the first 100 customers'<br> orders were as follows.

iris [78.8K]

Answer:

0.2 i think

Step-by-step explanation:

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3 years ago

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Marco states that 7.696696669…… is a rational number because it is a repeating decimal. Is he correct? Justify your answer.

Allisa [31]

Answer:

no because at the end it is 669 not 696 so it is not repeating decimal

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3 years ago

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Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees

storchak [24]

Answer:

$A=34\ units^2$

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

$A = 30\°\\\\B = 45\°\\\\b = 10$

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

$A + B + C = 180\\\\30 + 45 + C = 180$

We solve the equation and thus we find the angle C.

$C = 180 - 30-45\\\\C = 105$

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The sine theorem says that:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then

$\frac{sin(30)}{a}=\frac{sin(45)}{10}$

$\frac{sin(30)}{\frac{sin(45)}{10}}=a$

$a=7.071$

Also

$\frac{sin(105)}{c}=\frac{sin(45)}{10}$

$\frac{sin(105)}{\frac{sin(45)}{10}}=c$

$c=13.660$

Finally, we use the Heron formula to calculate the triangle area

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where s is:

$s=\frac{a+b+c}{2}$

Therefore

$s=\frac{7.071+10+13.660}{2}$

$s=15.37$

$A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}$

$A=34\ units^2$

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3 years ago

Conner and Jana are multiplying (3568)(39610). Conner's Work Jana's Work (3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) =

Mariana [72]

Answer:

Neither of them has partitioned the values correctly. The answer to the sum 3568 × 39610 =141 328 480.

They tried the partition method but did not partitioned it correctly.

3568 = 3000+500+60+8

39610 = 30000+9000+600+10

Now multiply each value of 3568 with the values of 39610. Like:

3000 * 30000

3000 * 9000

3000 * 600

3000 * 8

and so on....

Step-by-step explanation:

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4 years ago

» What is the product?<br> 0.9 x 100 =

Zepler [3.9K]

The product of this is 90

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4 years ago

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