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3 years ago

For the graph, locate the x-intercept and the y-intercept.

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

6 0

Answer:

Simple x-inercept; (6,0)

(0,-2)

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A cone and a cylinder have the same height and their bases are congruent circles

Anettt [7]

Answer:

$30cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$v_{cylinder}=\pi r^2 h$

and the volume of a cone is given by:

$v_{cone}=\frac{\pi r^2 h}{3}$

since both have the same height and radius, we can solve each equation for $r^2h$ (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

$r^2h=\frac{v_{cylinder}}{\pi}$

and from the cone's volume formula:

$r^2h=\frac{3 v_{cone}}{\pi}$

matching the two previous expressions:

$\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}$

we solve for the volume of a cone $v_{cone}$ :

$v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}$

substituting the value of the cylinder's volume $v_{cylinder}=90cm^3$

$v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3$

5 0

4 years ago

Read 2 more answers

Solve this expression: Three less than one fourth of the product of eight thirds and nine

Elina [12.6K]

1/4(8/3 • 9) - 3

=3

I think this is probably the answer

4 0

3 years ago

8. A right triangle has a perimeter of 60 cm. The legs have a ratio of 5:12. The hypotenuse is twice the

lakkis [162]

Answer:

a=24

b=10

c=26

Step-by-step explanation:

Perimeter is the sum of the sides ( $a+b+c=60$ )

The legs (a and b) have a ratio of 5:12, which means that $5a=12b$ , which can be simplified to $\frac{5}{12} a=b$ , where b will be the smaller leg.

The hypotenuse will be double the smallest leg, 2b, increased by 6 meters, giving us an equation of $c=2b+6$

Let's plug these in to get one variable:

$a+b+c=60\\a+b+2b+6=60\\a+\frac{5}{12}a+2(\frac{5}{12}a)+6=60\\\frac{12}{12}a+\frac{5}{12}a+\frac{10}{12}a+6=60\\\frac{12}{12}a+\frac{5}{12}a+\frac{10}{12}a=54\\\frac{27a}{12}=54\\27a=648\\a=24$

Now that we have a, we can plug it in to our previous equations to find our other sides:

$5a=12b\\5(24)=12b\\120=12b\\10=b$

$c=2b+6\\c=2(10)+6\\c=20+6\\c=26$

Double-checking:

$a+b+c=60\\24+10+26=60\\60=60$

7 0

3 years ago

Quadrilateral ABCD is located at A (−2, 2), B (−2, 4), C (2, 4), and D (2, 2). The quadrilateral is then transformed using the r

Mademuasel [1]

New cordinates are formed by adding 7 in x and subtracting 2 from y
A(−2, 2) =A ' (-2 +7 , 2 - 1 ) = A' (5,1)
B(−2, 4) = B' (-2 + 7 , 4 -1 )= B' (5,3)
C(2, 4) = C' (2 + 7 , 4 -1 )= C' (9,3)
<span>D(2, 2) D' (2 + 7 , 2 -1 ) = D' ( 9 , 1)</span><span>

</span>

8 0

3 years ago

A table is on sale for 72% off. the price is $246.40. What is the regular price

ankoles [38]

Answer:

$68.99

Step-by-step explanation:

This is called percentage decrease:

(100 - 72)% = 28%

246.40 × 28/100

= $68.99

6 0

3 years ago