What is the measure of angle J in the triangle? Drawing is not to scale

A student earned a grade of 80% on a math test that had20 problems. How many problems on this test did the student answer correc

Georgia [21]

Answer:

Only 16 problems correct

Step-by-step explanation:

Well I thought that since 80% is 4/5 then I should do 20 divided by 5 which will get me 4 and since I'm doing 4/5 I should go all the way up to 80% of 20 which will get me 16.

I'm not making that much sense but

Hope this helps :)

5 0

3 years ago

a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu

Hunter-Best [27]

What you need to look for is $\frac { dr }{ dt }$ when r=8.

Now:

$Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }$

$\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr } } =\frac { 1 }{ 4\pi { r }^{ 2 } }$

$And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }$

$\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi }{ \pi } \cdot \frac { 1 }{ { r }^{ 2 } }$

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

3 0

4 years ago

Please help! Sketch the graph of each line.

madam [21]

Answer:

1) (-3,0) (0,-3)

2) (-2,0)

3) (5,0) (0,-1)

4) (12,0) (0,3)

5) (-16,0) (0,4)

6) (-0.8333,0) (0,5)

4 0

3 years ago

On Saturday, the Gomez family left home to a resort in Maine. The drove at an average rate of 48 mph. ON Thursday they went back

tankabanditka [31]

If we set the unknown distance (in miles) as x, then we set up an equation according to the data, we can solve for x.

Time taken to go to resort : x/48
Time taken to return : x/40
Total time = x/48+x/40 = 11
Solve for x
common multiple between 48 and 40 = 240
so
5x/240 + 6x/240 = 11
(5x+6x)/240 = 11
11x = 11*240, => x=240
Distance from home to resort is 240 miles

4 0

3 years ago

A cell phone company has three different production sites.

dlinn [17]

Answer:

3/11

Step-by-step explanation:

given that a cell phone company has three different production sites

Site name 1 2 3 Total

Production 60% 30% 10% 100%

Recalled 5% 7% 9%

Prob for recall 0.003 0.021 0.009 0.033

Total probability for recall = 0.033

Prob for recall and came from site 3 = 0.009

So required probability

= If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3

= $\frac{0.009}{0.033} \\=\frac{3}{11}$

4 0

3 years ago