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3 years ago

15

The triangular prism shown below is 6 cm wide and 4 cm deep. The vertical height is 7 cm. What is the length of the side edge, s

, of the triangular prism?

2 answers:

Nady [450]3 years ago

8 0

Is the question multiple choice ?

miv72 [106K]3 years ago

4 0

Answer:

7.6

Step-by-step explanation:

khan academy

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PLEASE HELP!! If f (x) = 4x^-2 + 1/4x^2 + 4, then f’(2) =

Elena-2011 [213]

<h3>Answer: D) 0</h3>

Work Shown:

f(x) = 4x^(-2) + (1/4)x^2 + 4

f ' (x) = 4*(-2)x^(-3) + (1/4)*2x .... power rule

f ' (x) = -8x^(-3) + (1/2)x

f ' (2) = -8(2)^(-3) + (1/2)*(2)

f ' (2) = 0

4 0

3 years ago

Which classification describes AMNO with vertices M(2, -3), N(3, 1), and<br> 0(-3, 1)?

Sonja [21]

Answer:

Option D

Step-by-step explanation:

32). Given vertices of the triangle are M(2, -3), N(3, 1) and O(-3. 1).

Distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the expression,

Distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between M(2, -3) and N(3, 1) will be,

MN = $\sqrt{(3-2)^2+(1+3)^2}$

= $\sqrt{1+16}$

= $\sqrt{17}$

Distance between M(2, -3) and O(-3, 1),

MO = $\sqrt{(2+3)^2+(-3-1)^2}$

= $\sqrt{25+16}$

= $\sqrt{41}$

Distance between N(3, 1) and O(-3, 1),

NO = $\sqrt{(3+3)^2+(1-1)^2}$

= 6

Condition for right triangle,

c² = a² + b² [Here c is the longest side of the triangle]

By this property,

MO² = MN² + NO²

$(\sqrt{41})^2=(\sqrt{17})^2+6^2$

41 = 17 + 36

41 = 51

False.

Therefore, given triangle is not a right triangle.

Since, length of all sides are not equal, given triangle will be a scalene triangle.

Option D is the correct option.

5 0

3 years ago

find the volume of the figure. Round to the nearest hundredth if necessary. (figure is not to scale)

ludmilkaskok [199]

The volume is 336 cubic feet

6x8x3 = 144
8x4x6= 192

144+192=336

6 0

3 years ago

Read 2 more answers

In melanie's styling salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standa

vovikov84 [41]

They will require between 18.42 and 31.58 minutes.

We want the middle 90%. The two probability values associated with this would be 0.95 and 0.05; this would leave 5% below and 5% above, giving us the middle 90%.

Using a z-table (http://www.z-table.com) we see that the z-score associated with an area to the left of 0.05 is between -1.64 and -1.65; since it is equally distant from both we will use -1.645.

The z-score associated with an area of the left of 0.95 is between 1.64 and 1.65; since it is equally distant from both we will use 1.645.

The formula for a z-score is

z = (X-μ)/σ
-1.645 = (X-25)/4

Multiplying by 4 on both sides,
-1.645(4) = X-25
-6.58 = X-25

Adding 25 to both sides,
-6.58+25 = X
18.42 = X

For the upper bound,
1.645 = (X-25)/4

Multiplying both sides by 4,
1.645(4) = X-25
6.58 = X-25

Adding 25 to both sides,
6.58+25 = X
31.58 = X

The times are between 18.42 and 31.58 minutes.

6 0

3 years ago

A store has two different brands of laundry detergent. Brand A can do 105 loads of laundry and costs $21.99. Brand B does 80 loa

coldgirl [10]

Answer:

B. Brand A $0.21

Step-by-step explanation:

(round to nearest cent)

Brand A: 21.99/105 = .2094 = .21 ( .2094 rounds to .21)

Brand B: 17.99/80 = .2248 = .22 ( .2248 rounds to .22)

Therefore Brand A is a better buy for $0.21 per load

3 0

3 years ago

Read 2 more answers