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3 years ago

I just need to know how to do these questions in the picture above^?

Mathematics

2 answers:

Natalka [10]3 years ago

6 0

For the third question there are the same number of corners as there is triangles inside.

Sav [38]3 years ago

5 0

In the second one I'm pretty sure you just measure the length of the points.

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Solve for x and explain the steps:<br> 3x-6=4(2-3x)-8x

mote1985 [20]

Answer: x = 14/23

Step-by-step explanation:

3x-6=4(2-3x)-8x

3x-6=8-12x-8x --> Expand 4(2-3x)

3x-6=8-20x --> Collect like terms

3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side

3x=-20x+14

3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side

23x=14

$\frac{23x}{23}=\frac{14}{23}$ --> Divide both sides by 23

x = 14/23

7 0

2 years ago

The diameter of a planet is about 10,652 mi. The diameter of the planet's moon is about 25% of the planet. What percent of the v

alekssr [168]

Answer:

$2\%$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x----> the volume of the planet's moon

y---> the volume of the planet

$z^{3}=\frac{x}{y}$

In this problem we have

$z=0.25$

elevated to the cube

$z^{3}=0.25^{3}=0.015625$

Find the percent

$0.015625*100=1.56\%$

Round to the nearest whole number

$1.56\%=2\%$

5 0

3 years ago

Find all the values of x where the tangent line is horizontal.<br> 2x^3+36x^2+192x+12

Afina-wow [57]

At x = -4 and -8
Take the derivative of the given equation to find rate of change of the graph.
f'(x) = 6x^2 + 72x + 192
At a horizontal tangent, f'(x) = 0, so set the equation equal to 0 and solve. Eventually you get x = -4 and -8

3 0

2 years ago

The height of a football is given by the function h of t equals negative16 t squared plus 56 t plus 3, where h of t is the heigh

kykrilka [37]

Answer:

27 feet.

Step-by-step explanation:

Graph the quadratic equation, then find the point on the graph which aligns with x=3. Y would equal 27.

8 0

2 years ago

An experience bricklayer can construct a small wall in 3 hours. An apprentice can complete the job in 5 hours. Find how long it

Over [174]

Answer:

Step-by-step explanation:

If the bricklayer can construct the wall in its entirety in 3 hours, then he can get 1/3 of the job done in an hour.

If the apprentice can get the whole job done in 5 hours, then he can get 1/5 of the job done in an hour. If they both work together on said job, the equation is

$\frac{1}{3}+\frac{1}{5}=\frac{1}{x}$ and now we solve for x. Multiply everything by the LCM to get rid of the fractions. That would be 15x:

$15x(\frac{1}{3}+\frac{1}{5}=\frac{1}{x})$ and doing that gives us

5x + 3x = 15 and

8x = 15 so

x = 1.875 hours which is 1 7/8 hours which is also 1 hour and 52 1/2 minutes.

3 0

2 years ago