All categories

3 years ago

What is the length of s (the height of one of the triangular faces)?

Mathematics

1 answer:

Anestetic [448]3 years ago

5 0

Answer:

s = 16.2 units

Step-by-step explanation:

s^2 = 15^2 + 6^2 (6 is 1/2 of 12)

s^2 = 225 + 36

s^2 = 261

s = 16.16

You might be interested in

3. Find the measure of each angle. If 34 degrees is given below.

Anettt [7]

Answer:

a. 34

b 146

c 146

d. 34

e 146

f 146

Step-by-step explanation:

4 0

3 years ago

Why might a person need an emergency fund?

neonofarm [45]

Why An Emergency Fund Is Important. People who've had large and unforeseen expenses arise can probably either tell you how happy they were that they hademergency funds, or how difficult it was to find the money to cover expenses.

4 0

3 years ago

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con

natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

$L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\$

The construction cost now is:

$C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}$

Now, to determine the minimum cost:

$\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}$

$w = \dfrac{88}{3(3)}^{1/3} \ feet$

Now;

$length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet$

$height = ( 88})^{1/3} (3)^{1/3} \ feet$

6 0

3 years ago

Determine if the point is a solution to the system of linear equations <img src="https://tex.z-dn.net/?f=%20%20%5Chuge%20%5C%7B%

Kay [80]

Answer:

The system has no solutions.

Step-by-step explanation:

If you stare at it for the bit you can tell the system is impossible. Let's see why:

First of all, rewrite the second equation by bringing all unknowns on the LHS:

$4x+6y=5$ .

Then take twice the first equation, doubling every coefficient:

$4x+6y=4$ See how the LHS is the same? The system is asking you to find a quantity (4x+6y) which is at the same time equal to four AND five - emphasis on that "and" - which is obviously impossible, because it implies that 4=5. So the point - which you didn't provide - is not a solution. Nor is any other point.

8 0

2 years ago

100 POINTS!!!!! WILL GIVE BRAINLIEST!!!!!! PLS HELP ASAP!!!!!!!

Olin [163]

Answer:

1,600 seats in the theater

Step-by-step explanation:

well it seems like each row is being increased by 8 seats each time.

we start with 4 seats in the 1st row. 12 in the 2nd. and 20 in the 3rd. I will make a chart showing you how many seats are in each row.

4th row - 28 5th row - 36 6th row - 44 7th row - 52 8th row - 60 9th - 68 10th - 76 11th - 84 12th - 92 13th - 100 14th - 108 15th - 116 16th- 124 17th - 132 18th - 140 19th - 148 20th - 156

if we add these all together you will get 1,600

7 0

1 year ago

Read 2 more answers