Ln x is greater than or equal to 3

9514 1404 393

Answer:

  A.  201 cm³

Step-by-step explanation:

To find the volume, we need to know the length of the prism and the area of the triangular base.

We can find the area of the triangular base a couple of ways. Since we are given some angles, the convenient way will be to make use of those angles.

The triangular base is isosceles. For our purpose, we assume that means AB = BC. If we define point M as the midpoint of AC, then triangle BMC is a right triangle with a base of (9 cm/2) = 4.5 cm.

The side BC can be found from the trig relation ...

  cos(∠BCA) = CM/BC

  BC = CM/cos(∠BCA) = (4.5 cm)/cos(50°) ≈ 7.00

Then the area of the end triangle ABC is ...

  base area = (1/2)(AC)(BC)sin(50°)

  base area = (1/2)(9 cm)(7 cm)sin(50°) ≈ 24.133 cm²

__

The length CF can be found from the relation ...

  tan(40°) = EF/CF

  CF = EF/tan(40°) = (7.00 cm)/tan(40°) ≈ 8.343 cm

Then the volume of the prism is ...

  V = Bh

  V = (24.133 cm²)(8.343 cm) ≈ 201 cm³

The volume of this isosceles triangular prism is about 201 cm³.

Answer:

A. 201 cm³ is the answer.

Step-by-step explanation:

Answer:

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Step-by-step explanation:

nbsnsmsmlslakwj

Answer:

A=15.30, b=16.22, c=no. 9% of 18 doesn’t equal 16.22

Step-by-step explanation:

Answer:

1.014e+6

Step-by-step explanation:

can't explain, I would if I could

Answer:

1,013,760 Feet

Step-by-step explanation:

A mile is equal to 5,280 feet

Give me Brainllest plz

Answer:

A is correct ..............

Answer:

48

Step-by-step explanation:

First, get a total of the ration so 3+4=7

Then 112/7=16

So there is 16 times he puts 3 ounces of red and 4 ounces of blue.

3x16 = 48    (red)

4x16 = 64    (blue)

4+48=112

Answer:

62.83

Step-by-step explanation:

10 times 3.14 times 2

B. 2EF3 + 3G2H --> 6GF + E2H3

Answer:

7/40

Step-by-step explanation:

possible outcomes = 10+11+12+7 = 40

favourable outcome = 7

theoretical probability  = favourable outcomes/possible outcomes

therefore, 7/40 is the answer

Answer:

Solution given:

A(a,b) lie in 6x-y =1

substituting value of A in equation ,we get

6a-b=1...................(1)

B(b,a) lie in 2x - 5y = 5

substituting value of B in equation ,we get

2b-5a=5

b=5(a+1)/2............(2)

substituting value of b in equation 1 ,we get

6a-5(a+1)/2=1

12a-5a-5=2

7a=2+5

a=[tex] \frac{7}{7} [/tex]=1

substituting value of a in equation 1 ,we get

6×1-b=1

6-1=b

b=5

so points are A(1,5) and B(5,1)

we have

equation of line having two points

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) [/tex]

[tex](y - 5) = \frac{1-5}{5-1} (x - 1) [/tex]

[tex](y - 5) = -1 (x - 1) [/tex]

y-5=1-x

x+y=6 is a required equation of line AB.

Answer:

3200

Step-by-step explanation:

Answer:

Yes!

Step-by-step explanation:

Brainly can function as an algebra practice tool, a geometry solver, and a fraction calculator.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects. A geometer is a mathematician who specialises in geometry.

The three most popular types of geometry are solid geometry (which deals with items like the line, sphere, and polyhedron) and spherical geometry (which deals with objects like the spherical triangle as well as spherical polygon). Plane geometry deals with objects such as the point, line, oval, triangle, and polygon.

Thus, Brainly can function as an algebra practice tool, a geometry solver, and a fraction calculator.

Learn more about Geometry, here:

https://brainly.com/question/31408211

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Answer:

30%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

P(9) = 1/4

P(9) % = 100/4 = 25%

answer

11.3 cm

steps

what is h cm to angle 37°=it is an opposite side

what is 15 cm to angle 37°=it is an adjecent side

opposite and adjecent form a tan

.°. opp/adj = tan(37°)

h/15 = tan(37°)

h = 11.3 cm

Answer:

x = [tex]\frac{b}{a}[/tex]

Step-by-step explanation:

Given

ax - b = 0 ( add b to both sides )

ax = b ( divide both sides by a )

x = [tex]\frac{b}{a}[/tex]

-4x + y+ 6z

Step-by-step explanation: image below

Answer:

Step-by-step explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 15 × 9.8 × 5

We have the final answer as

Hope this helps you

Answer:

There is 2.887 quarts of oil in the funnel

Step-by-step explanation:

Complete question

A funnel is in the shape of a cone with a radius of 4 inches and a height of

10 inches. The funnel is filled with oil. How many quarts of oil are in the funnel?

Solution

As we know, volume of the cone is given by

[tex]V = \frac{1}{3} \pi r^2 h[/tex]

Here,

V = volume of the cone

r is the radius of the base of the cone

h is the height of the cone

Substituting the given values in above equation, we get -

[tex]V = \frac{1}{3} *3.14*4*4*10\\V = 167.467[/tex] Cubic inch

As given

1 quarts = 58 cubic inch

Total number of quarts of oil

[tex]\frac{167.467}{58} \\2.887[/tex]

There is 2.887 quarts of oil in the funnel

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

Answer:

4 and -6≤x<0

Step-by-step explanation:

6. 4

7. -6≤x<0

Answer:

C

Step-by-step explanation:

x+8+2x+4=90

3x+12=90

3x=78

x=26

Answer:

answer to what?

Step-by-step explanation:

Answer:

Thanks mate n.n

Have a good one !

Answer:

x = - 5

Step-by-step explanation:

The absolute value function always gives a positive result , then

| - 5 | = | 5 | = 5

Thus x = 5, x = - 5

Answer:

8/17

Step-by-step explanation:

Answer:

y = 2x+14

Step-by-step explanation:

So first of all simplify 2(x+2)

Result is 2x+4

Y-10=2x+4

Now add 10 to both sides and that's how you get your answer

Answer:

(9^2) --- Because 9*9 = 81

(9)

you got this one right (2x-8)

X= -8

Answer:

d = 364 feet

Step-by-step explanation:

Given that,

The pressure at depth d is given by :

[tex]P=13+\dfrac{8}{13}d[/tex]

Pressure under water is found to be 237 pounds per square foot

Now, put P = 237 to find d. So,

[tex]237=13+\dfrac{8}{13}d\\\\237-13=13+\dfrac{8}{13}d-13\\\\224=\dfrac{8}{13}d\\\\d=\dfrac{224\times 13}{8}\\\\d=364\ ft[/tex]

So, the depth is equal to 364 feet.