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3 years ago

What is the surface area of the triangular prism? A135 B150 C120 D115

Mathematics

1 answer:

Oduvanchick [21]3 years ago

4 0

Answer:

the answer is a-135 square feet

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(x - 6)^2 - 12 = x^2- 12x + c. What is the value of c?

mojhsa [17]

Answer:

C = 24

Step-by-step explanation:

(x - 6)² - 12 = x² - 12x + c

(x - 6) (x - 6) -12 = x² - 12x + c

x(x - 6) - 6(x - 6) - 12 = x² - 12x + c

x² - 6x -6x + 36 - 12 = x² - 12x + c

x² - 12x +36 - 12 = x² - 12x + c

x² - 12x + 24 = x² - 12x + c

24 = c

4 0

2 years ago

kandy is financing a $335,000 mortgage for 30 years at a fixed rate of 7.5% what is the total cost of the principal and interest

-BARSIC- [3]

Given:
<span>F= $335,000
n = 30 years at a fixed rate of i = 7.5%

Required:
the total cost of the principal

Solution:
F = P(1+i)^n
P = F/(1+i)^n
P = 335,000 / (1.0.075)^30
P = 38,264.05</span>

8 0

3 years ago

A new health drink has 130% of the recommended daily allowance (RDA) for a certain vitamin . The rad for this vitamin is 45 mg.

Maslowich

Answer:

58.5 mg

Step-by-step explanation:

Drink: 130% of RDA of vitamin X

RDA vitamin X = 45mg

130% of 45 = mg in the drink

130% = 130/100 = 1.3

130% of 45 = 1.3*45 = 58.5

So, this new drink has 58.5 mg of vitamin

7 0

3 years ago

Find the derivative of the function at P 0 in the direction of A. f(x,y,z) = 3 e^x cos(yz), P0 (0, 0, 0), A = - i + 2 j + 3k

Alik [6]

The derivative of $f(x,y,z)$ at a point $p_0=(x_0,y_0,z_0)$ in the direction of a vector $\vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k$ is

$\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}$

We have

$f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k$

and

$\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}$

Then the derivative at $p_0$ in the direction of $\vec a$ is

$3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}$

3 0

3 years ago

M<2=4x+12 <br> Someone help

Katarina [22]

X=12. So this one says that it has 3 congruent sides so therefore it has to have 3 congruent angles. Here we have angle 2 and we have angle 60. Given the definition of triangle congruence, we can say that 60 is angle 2 and that the third angle is also 60 but it’s not relevant in this problem. So knowing that angle 2 is 4x+12 we solve for x by seeding that equal to 60 and then solving for x we get x=12. Hope this helps!!!!

8 0

2 years ago

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