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Mashcka [7]
3 years ago
11

Someone pls help i don’t understand this

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
3 0

Answer:

to help, i will demonstrate the first problem. This is a right triangle. We know this because it is a 45-45-90 triangle.

Because of this we know that the sides are 2 and 2 (they must be equal).

Now we need the hypotenuse- the side across from the right angle (in other words, the diagonal line).

To do this we take 2 times the square root of two. This makes it 2.82.

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Suppose that you are to make a rectangular box with a square base from two different materials. The material for the top and fou
saw5 [17]

Answer:

height = 14.5 ft

width = length = 3.2 ft

Step-by-step explanation:

Let the side of the square base is a and the height of the box is h.

The material required to make the box is equal to the total surface area of the box.

Area of base = a²

Cost of square base is $ 2 per ft²

So, the cost of making base = 2a²

Area of four walls + area of top = 2 (a² + ah + ah) + a² =  3a² + 2ah

Cost of making walls and the top is $ 1 per ft²

So, the cost of making walls and the top = 1 x ( 3a² + 2ah)

Total cost of making the box = 2a² + 3a² + 2ah = 5a² + 2ah

According to the question

144 = 5a² + 2ah

h = \frac{144-5a^{2}}{2a}     .... (1)

The volume of the box is V = length x width x height

V = a x a x h

V = 72 a - 2.5 a³     from equation (1)

Differentiate both sides with respect to a.

dV/da = 72 - 7.5 a²

Put, it equal to zero for maxima and minima

7.5 a² = 72

a = 3.2 ft

Put in equation (1)

h = \frac{144-5\times 3.2\times 3.2}{2\times 3.2}

h = 14.5 ft

So, the dimensions of the box are

height = 14.5 ft

width = length = 3.2 ft

6 0
3 years ago
If y equals -18 when x is 6 find x when y is 6
Mekhanik [1.2K]

Answer:

x=-2

Step-by-step explanation:

-6/18=x/6

simplify the -6/18 into -1/3,

-1/3=x/6

cross product,

3*x=-1*6

3x=-6

x=-6/3

x=-2

8 0
2 years ago
Write the standard form of the equation of the circle with the given characteristics. Center: (3, 5); Solution point: (−2, 17)
Angelina_Jolie [31]

\text{we know that the general equation of the circle is }\\
\\
(x-h)^2+(y-k)^2=r^2\\
\\
\text{where, (h,k) is the center of the circle and r is the radius.}\\
\\
\text{Given that the centered of the circle is at  }(h,k)=(3,5)\\
\text{and a solution point on circle is (-2,17).}\\
\\
\text{so the radius of the circle will be the distance between center and the }

\text{solution point. so using the distance formula, we have}\\
\\
\text{Radius, }r=\sqrt{(-2-3)^2+(17-5)^2}\\
\\
\Rightarrow r=\sqrt{25+144}\\
\\
\Rightarrow r=\sqrt{169}\\
\\
\Rightarrow r=13\\
\\
\text{Hence using the standard for of circle, equation of circle with center}\\
(h,k)=(3,5) \text{ and radius r=13 is}\\
\\
(x-3)^2+(y-5)^2=(13)^2\\
\\
\Rightarrow (x-3)^2+(y-5)^2=169

3 0
3 years ago
I need help on this question
katen-ka-za [31]
Measure of the interior angle: 180 -113: 67
the measure of interior angle is 67.
8 0
3 years ago
Which equation represents the relationship in the graph?<br><br> giving brainliest!!!
Xelga [282]
A,the intercept is equal to 70
6 0
2 years ago
Read 2 more answers
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