How is the product related to the first factor?

3x+6<25,x=8 true or false

Liono4ka [1.6K]

That is false

If x=8 then the whole thing is 24+6 which is 30

so 30<25 is false

6 0

3 years ago

Read 2 more answers

See the picture below

mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

a)

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}$

radius is given as 4, so,

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04$

Now, Volume of Cone = $\frac{1}{3}\pi r^2 h$

Where radius is 4 and height is 10, so,

Volume of Cone = $\frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55$

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

b)

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = $2\pi r^2\\=2\pi (4)^2\\=100.53$

Surface Area of Cone = $\pi r^2+\pi rl$

We dont need to use the first part, $\pi r^2$ since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = $\pi rl\\=\pi (4)(10.77)\\=135.34$

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0

3 years ago

83 simplified whoever gets it right is the brainliest

Alina [70]

83 is a whole number and cannot be simplified.

8 0

3 years ago

Read 2 more answers

(x+y=3 (3x+2y=14 what is the coordinates for this problem

Ludmilka [50]

3x - 2y + 2y > -14 + 2y 

3x + 0 > -14 + 2y 

3x > -14 + 2y 

3x + 14 > -14 + 14 + 2y 

3x + 14 > 0 + 2y 

3x + 14 > 2y 

(3x + 14)/2 > 2y/2 

(3x + 14)/2 > y*(2/2) 

(3x + 14)/2 > y*(1) 

(3x + 14)/2 > y 

y < (3x + 14)/2 

y < 3x/2 + 14/2 

y < 3x/2 + 7 

y < (3/2)*x + 7 

“y” is LESS THAN (3/2)*x + 7 

the slope intercept form of the inequality is: y < (3/2)*x + 7 

STEP 2: Temporarily change the inequality into an equation by replacing the < symbol with an = symbol. 

y < (3/2)*x + 7 

y = (3/2)*x + 7 

STEP 3: Prepare the x-y table using the equation from Step 2. 

Using the slope intercept form of the equation from Step 2, choose a value for x, and then compute y for at least three points. 

Although you could plot the graph with just two sets of x-y coordinates, you should compute at least three different sets of coordinates points to ensure you have not made a mistake. All three x-y coordinates must lie on the same straight line. If they do not, you have made a mistake. 

You can choose any value for x. 

For example, (arbitrarily) choose x = -2 

If x = -2, 

y = (3/2)*x + 7 

y = (3/2)*(-2) + 7 

y = 4

4 0

3 years ago

Determining the Scale Factor of a Dilation Consider the dilation of pentagon ABCDE by a scale factor of If AB = 12, then A'B' A&

barxatty [35]

<h3>Answer:</h3>

If AB = 12units, then

A'B' = 1/2 × 12 = 6units.

If C'D' = 5units, then

CD = 2 × 5 = 10units.

5 0

3 years ago