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2 years ago

Find the total surface area of this triangular prism. 17 cm 8 cm 2 cm 15 cm

Mathematics

1 answer:

kumpel [21]2 years ago

8 0

Answer:

200cm²

Step-by-step explanation:

Total surface area of the prism = bh + L(s1+s2+s3)

b is the base of the triangle = 15cm

h is the height of the triangle = 8cm

Perimeter of the triangular base = s1 + s2 + s3 = 8+17+15

Perimeter of the triangular base = 40cm

L is the lateral height = 2cm

Substitute the given values into the formula;

Total surface area of the prism = 15(8) + 2(40)

Total surface area of the prism = 120+80

Total surface area of the prism = 200cm²

Hence the total surface area of the prism is 200cm²

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A small business assumes that the demand function for one of its new products can be modeled by p = Cekx. When p = $40, x = 1000

Maru [420]

Answer:

C= 82.1116

k=-0.0007192

Step-by-step explanation:

$p=Ce^{kx}\\40=Ce^{k1000}\\30=Ce^{k1400}\\$

Applying logarithmic properties yields in the following linear system:

$ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k$

Solving for k:

$ln(40) = ln(C) + 1000k\\ln(30) = ln(C) + 1400k\\400 k = ln(30)-ln(40)\\k=-0.0007192$

Solving for C:

$40=Ce^{-0.0007192*1000}\\C= \frac{40}{e^{-0.0007192*1000}}\\C=82.1116$

C= 82.1116

k=-0.0007192

6 0

2 years ago

− 6/b −50=-49 what is b

Sedbober [7]

Answer:

-6

Step-by-step explanation:

-6/b-50=-49

step1;collect like terms

-6/b=-49+50

-6/b=1

step2;cross multiply

-6/b=1

-6=1b(1b can also be regarded as b)

b=-6

6 0

2 years ago

The only solution of the equation x^2 + bx + 16 = 0 is x = 4. What is the value of b?

jeka94

Answer:

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Step-by-step explanation:

8 0

2 years ago

Find x show steps too please will give brainliest

9966 [12]

Hello from MrBillDoesMath!

Answer: x = 7/10

Discussion:

To eliminate fractions multiply each side by 10:

10 ( 9/5x - 2/5 ) = 10 * ( 8x +3)/10 or

10 * ( 9/5)x - 10 *(2/5) = 8x + 3 or

9 *2 x - 2*2 = 8x +3 or

18x - 4 = 8x + 3. Subtract 8x for each side:

18x - 8x - 4 = (8x - 8x) + 3 or

10x -4 = 0x + 3 or

10x -4 = 3 or

10x = 7

x = 7/10

Thank you,

MrB

7 0

2 years ago

Elimination process 7a-3b = 26 a + 2b =11

VMariaS [17]

Answer:(a=5,b=3)

7a-3b = 26--------(1)

a + 2b =11---------(2)

on mutlplying by7 in eq 2

= 7a+14b=77-------(3)

from eq(1) and (3) (on substracting)

7a+14b=77

7a-3b=26

________

=-17b=51

b=51/17

b=3

on putting value of b in eq 1

7a-3b = 26

=7a-9=26

7a=35

a=5

Step-by-step explanation:

hope it helps

mark me brainliest

5 0

2 years ago