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3 years ago

Solve the system of equations and choose the correct ordered pair.

Mathematics

2 answers:

vodka [1.7K]3 years ago

6 0

Hope this helps:);:;

Ilia_Sergeevich [38]3 years ago

3 0

The answer is C. Would you like me to explain how I got that?

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How do you write eight hundred forty-three billion, two hundred eight million, seven hundred thirty-two thousand, eight hundred

Alik [6]

843,208,732,833 is the standard form

5 0

3 years ago

Read 2 more answers

The win-loss record for a football team is 15 wins and 9 losses. What percent of their games did they win?

Burka [1]

Answer:

62.5%

Step-by-step explanation:

To find percentage of win, we simply need to find the number of games won and divide it by the total number of games played. Then we will multiply that answer by 100 (to get percentage).

So,

Number of games won = 15

Total number of games = 15 + 9 = 24

Percentage of Win = $\frac{15}{24}=0.625=62.5$

Answer is 62.5%

6 0

4 years ago

Find the degree measure of either of the exterior angles formed by extending the base of an isosceles triangle if the vertex ang

lara31 [8.8K]

Answer:

the exterior angle of the vertex: 60 degrees

the interior base angles: 30 degrees

the exterior angles of the bases: 150 degrees

Step-by-step explanation:

every straight angle is equal to 180 degrees and all the angles of the inside of a triangle is 180 degrees

5 0

4 years ago

PLEASE HELP! :( What is the surface area of the right cone below?

AleksandrR [38]

Answer:

A≈606.32

Step-by-step explanation:

you need to use this equation: A=πr(r+h^2+r^2) to figure it out...

just plug your length, height, and radius in, and u have ur answer!!

ur answer shud be A≈606.32

Hope this helps!!

6 0

3 years ago

Read 2 more answers

Leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. The triangular base has a

almond37 [142]

Answer:

A. $x=\frac{-7+\sqrt{193}}{4}$

Step-by-step explanation:

We have, the dimensions of the living room are 30 ft and 20 ft.

Thus, area of the living room = length × width = 30 × 20 = 600 ft².

Now, it is given that the cabinet takes 6% of the living room i.e. 6% of 600 ft² = 0.06 × 600 = 36 ft².

As, the triangle has dimensions (2x+3) ft and (3x+6) ft.

So, the area of the triangle = $\frac{1}{2}\times base\times height$

i.e. Area of cabinet = $\frac{1}{2}\times (2x+3)\times (3x+6)$

i.e. Area of cabinet = $\frac{3}{2}\times (2x+3)\times (x+2)$

i.e. Area of cabinet = $\frac{3}{2}\times (2x^2+7x+6)$

Since, the cabinet takes 6% of the living room, we have,

$\frac{3}{2}\times (2x^2+7x+6)$ = 36

i.e. $2x^2+7x+6=36\times \frac{2}{3}$

i.e. $2x^2+7x+6=24$

i.e. $2x^2+7x-18=0$

Further, as the solution of a quadratic equation $ax^{2}+bx+c=0$ is given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$

On comparing we have, a=2, b=7, c= -18.

Thus, $x=\frac{-7\pm \sqrt{7^{2}-4\times 2\times (-18)}}{2\times 2}$

i.e. $x=\frac{-7\pm \sqrt{49+144}}{4}$

i.e. $x=\frac{-7\pm \sqrt{193}}{4}$

i.e. $x=\frac{-7+\sqrt{193}}{4}$ and $x=\frac{-7-\sqrt{193}}{4}$

So, according to the options, we have,

A. $x=\frac{-7+\sqrt{193}}{4}$ is the correct value of x.

7 0

3 years ago