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Nata [24]
3 years ago
14

Melissa got 18 out of 20 on a math quiz. Tom got 85% on the quiz. Whose mark was greater?

Mathematics
2 answers:
Zina [86]3 years ago
4 0

Answer:

tom =  \frac{85}{100}  \times 20 \\  = 17 \: questions

Melissa had a greater mark.

Lena [83]3 years ago
4 0

Answer:

Melissa

Step-by-step explanation:

Melissa: 18/20

Tom: 85/100

You need a common denomenater so multiply 18 and 20 by 5:

90/100>85/100

Melissa has the greater mark by 5%

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Answer:

Step-by-step explanation:

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3 years ago
Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean
Leno4ka [110]

Answer:

a = \sqrt{7}

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.:

<em>Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.

My answer:

We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.

a^2+b^2=c^2

Given that: b=3 and c=4

a^2+3^2=4^2a^2+9=16a^2+9-9=16-9a^2=7

so a = \sqrt{7}

We know that tangent relates opposite side of a right triangle with adjacent side.

\text{tan}(B)=\frac{a}{b}\\\text{tan}(B)=\frac{\sqrt{7}}{3}

Please have a look at the attached photos.

3 0
3 years ago
Perform the indicated operation. X^3+43-49x-7x^2 divides by x^2-49
BaLLatris [955]

Answer:

The quotient is: x-7

and remainder is : -300

Step-by-step explanation:

We need to divide X^3+43-49x-7x^2 by x^2-49

First arrange the term  X^3+43-49x-7x^2 in terms of ascending order of x.

Arranging we get:

x^3 - 7x^2 -49x + 43 \  x^2-49

The division steps are shown in figure attached.

The quotient is: x-7

and remainder is : -300

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A triangle can be congruent to a square.
Bas_tet [7]
No... congruent means they are exactly the same, just rotatet or dislocated
4 0
3 years ago
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