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Goshia [24]
3 years ago
11

Which of the following best describes the surface area of a solid figure?

Mathematics
2 answers:
grandymaker [24]3 years ago
4 0

Assuming the figure has identifiable bases and sides, the total surface area is the sum of the areas of those:

... B. Base area + lateral area

beks73 [17]3 years ago
4 0
The surface area of any object is the sum of all areas on the object itself, and thus it cannot be D. This would include both the base area and the lateral areas. And thus the correct answer would be B.
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What is the scale factor? See attachment.
ale4655 [162]
A scale factor<span> is a number which </span>scales<span>, or multiplies, some quantity. In the equation y = Cx, C is the </span>scale factor<span> for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.</span>
6 0
3 years ago
All computers are on sale for 10% off the original price. If x is the original price of the computer, then the function that rep
prohojiy [21]
So the original price is "x".

the discounted price by 10% is P(x) = 0.9x.

the price minus a $150 coupon is C(x) = x - 150.

so, if you go to the store, the item is discounted by 10%, so you're really only getting out of your pocket 90% of that, or 0.9x, but!!! wait a minute!! you have a $150 coupon, and you can use that for the purchase, so you're really only getting out of  your pocket 0.9x - 150, namely the discounted by 10% and then the saving from the coupon.

C(   P(x)   ) = P(x) - 150

C(   P(x)   ) = 0.9x - 150
5 0
3 years ago
Read 2 more answers
Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the value of the integral produ
SOVA2 [1]

y=\ln(6+x^3)\implies y'=\dfrac{3x^2}{6+x^3}

The arc length of the curve is

\displaystyle\int_0^5\sqrt{1+\frac{9x^4}{(6+x^3)^2}}\,\mathrm dx

which has a value of about 5.99086.

Let f(x)=\sqrt{1+\frac{9x^4}{(6+x^3)^2}}. Split up the interval of integration into 10 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], ..., [9/2, 5]

The left and right endpoints are given respectively by the sequences,

\ell_i=\dfrac{i-1}2

r_i=\dfrac i2

with 1\le i\le10.

These subintervals have midpoints given by

m_i=\dfrac{\ell_i+r_i}2=\dfrac{2i-1}4

Over each subinterval, we approximate f(x) with the quadratic polynomial

p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m_i)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}

so that the integral we want to find can be estimated as

\displaystyle\sum_{i=1}^{10}\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx

It turns out that

\displaystyle\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx=\frac{f(\ell_i)+4f(m_i)+f(r_i)}6

so that the arc length is approximately

\displaystyle\sum_{i=1}^{10}\frac{f(\ell_i)+4f(m_i)+f(r_i)}6\approx5.99086

5 0
3 years ago
Solve the system of equations. If the system does not have one unique solution, determine the number of solutions to the system.
Licemer1 [7]
See photo. Hope it helps

3 0
2 years ago
For what value of x must ABCD be a parallelogram ?
Pavlova-9 [17]

Answer:

x = 4

Step-by-step explanation:

as it is parallelogram opposite sides are equal

so14x -7= 10x-9

14x-7+9=10x

14x -16 = 10x

14x -10x = 16

4x =16

x = 16/4

x = 4

also u can put x = 4 in both expressions and u will get answer of both 49

7 0
3 years ago
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