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2 years ago

Mean of four numbers a ,b, c, and d is 8 and mean of seven

Mathematics

1 answer:

Nana76 [90]2 years ago

4 0

Answer:

17 1/3 or 17.33

Step-by-step explanation:

<u>Mean of four numbers a, b, c, and d is 8:</u>

(a + b + c + d)/4 = 8
⇒ a + b + c + d = 32

<u>Mean of seven numbers x, y, z, a, b, c and d is 12:</u>

(x + y + z + a + b + c + d)/7 = 12

<u>Substitute the sum of 4 numbers:</u>

x + y + z + 32 = 7*12
x + y + z = 84 - 32
x + y + z = 52

52/3 = 17 1/3 or 17.33

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Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of tr

zhannawk [14.2K]

We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA= $\sqrt{3}$ . Hence CM=GC+GM=3* $\sqrt{3} /$ . Now, since GM is normal to AB, we have by the pythagoeran theorem that:
$AC^2=AM^2+GM^2=BM^2+GM^2=BC^2$
Hence, we calculate from this that AC^2= 28, hence AC=2* $\sqrt{7}$ =BC. Thus, the perimeter of the triangle is 2+4* $\sqrt{7}$ .

3 0

3 years ago

Y=-3 - x, how to draw the graph

adell [148]

Answer: See attachment below (graphing)

Step-by-step explanation:

<u>INFORMATION:</u>

The slope-intercept is when y=mx+b

mx=the slope

b=y-intercept

<u />

<u>REPHRASE EQUATION:</u>

y=mx+b

y=-3-x

y=(-1)x-3

<u>CONCLUSION:</u>

Slope=-1

Y-intercept=-3

Hope this helps!! :)

Please let me know if you have any questions

6 0

2 years ago

Read 2 more answers

Is 7.2 bigger than 7.21

Paraphin [41]

Answer:

yes

Step-by-step explanation:

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2 years ago

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Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps belo

bija089 [108]

<h3><u>Given</u> - </h3>

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

<h3><u>To solve</u> - </h3>

➙ the given quadratic equation.

<h3><u>Concept applied</u> - </h3>

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by $\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}$ provided b - 4ac ≥ 0.

<h3><u>Solution</u> - </h3>

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

$\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}$

$\implies\sf{x=\frac{1 \pm\: 7}{4}}$

Solving one by one,

$\implies\sf{x=\frac{1 + \: 7}{4}}$

$\implies\sf{x=\frac{8}{4}}$

$\implies{\boxed{\bf{x=2}}}$

________________

$\implies\sf{x=\frac{1 - \: 7}{4}}$

$\implies\sf{x=\frac{-6}{4}}$

$\implies{\boxed{\bf{x=\frac{-3}{2}}}}$

________________________________

<em><u>Note</u> - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.</em>

Hope it helps!! (:

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2 years ago

The gas tank of Tyrell's truck holds 19.8 gallons. When the tank is empty, tyrell fills it with gas that costs 3.65 per gallon.

Dima020 [189]

3.65x19.8=$72.07 hit that thanks button and 5 star rating plz thankyou!!!!

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2 years ago