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2 years ago

14

63 is 90% of what number?show the equation

1 answer:

guajiro [1.7K]2 years ago

8 0

90% (or 0.9) of a certain number is equal to 63. Let's call this number Y. Therefore, the equation would be

0.9 x Y = 63

If you divide both sides by 0.9, you get:

Y = 70

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The volume of a beack ball is 905 square centimeters. Find the radius of the ball to the nearest whole number.

lubasha [3.4K]

<h3>given:</h3>

$v = 905 \: {cm}^{3}$

<h3>to find:</h3>

the radius of the given ball (sphere).

<h3>solution:</h3>

$r = \sqrt[3]{ \frac{3v}{4\pi} }$

$r = \sqrt[3]{ \frac{3 \times 905}{4\pi} }$

$r = 6 \: cm$

<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>radius</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>ball</u><u> </u><u>is</u><u> </u><u>6</u><u> </u><u>cm</u><u>.</u>

note: refer to the picture I added on how you can change r as the subject of the formula.

8 0

1 year ago

Read 2 more answers

24) sin x = 1/3<br> Find cos x.

liq [111]

Answer:

$\frac{2\sqrt{2} }{3}$

Step-by-step explanation:

The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;

sin x = ( opposite / hypotenuse)

The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;

The adjacent side would be;

$\sqrt{9-1}=\sqrt{8}=2\sqrt{2}$

The cosine of an angle is given as;

cos x = (adjacent side / hypotenuse)

Therefore, the cos x would be;

$\frac{2\sqrt{2} }{3}$

6 0

2 years ago

Read 2 more answers

How many eighth graders chose History as their favorite subject. Round answer to the nearest whole number.

Elenna [48]

The percentage of eighth-graders that chose History as their favorite subject is 19%

<h3>Percentages and proportion</h3>

From the given table, we have the following parameters

Total students in the 8th grade = 124 students

Total number of 8th graders that chose history = 11 + 12

Total number of 8th graders that chose history = 23

Required percentage = 23/124 * 100

Required percentage = 19%

Hence the percentage of eighth-graders that chose History as their favorite subject is 19%

Learn more on percentages here: brainly.com/question/24304697

4 0

1 year ago

One equation in a system is y=3x+7. Which equation gives the system no solution

atroni [7]

Answer:

A

Step-by-step explanation:

Because I know how to do it

7 0

1 year ago

Read 2 more answers

Please help me on this problem

Anna71 [15]

Answer:

The pairs of integer having two real solution for $ax^{2} -6x+c = 0$ are

$a = -4, c = 5$
$a = 1, c = 6$
$a = 2, c = 3$
$a = 3, c = 3$

Step-by-step explanation:

Given

$ax^{2} -6x+c = 0$

Now we will solve the equation by putting all the 6 pairs so we get the following

$-3x^{2} -6x-5 = 0$ for $a = -3 , c=-5$

$-4x^{2} -6x+5 = 0$ for $a = -4 , c=5$

$1x^{2} -6x+6 = 0$ for $a = 1 , c=6$

$2x^{2} -6x+3 = 0$ for $a = 2 , c=3$

$3x^{2} -6x+3 = 0$ for $a = 3 , c=3$

$5x^{2} -6x+4 = 0$ for $a = 5 , c=4$

The above all are Quadratic equations inn general form $ax^{2} +bx+c=0$

where we have a,b and c constant values

So for a real Solution we must have

$Disciminant , b^{2} -4\timesa\timesc \geq 0$

for $a = -3 , c=-5$ we have

$Discriminant =-24$ which is less than 0 ∴ not a real solution.

for $a = -4 , c=5$ we have

$Discriminant = 116$ which is greater than 0 ∴ a real solution.

for $a = 1 , c=6$ we have

$Discriminant =12$ which is greater than 0 ∴ a real solution.

for $a = 2 , c=3$ we have

$Discriminant =12$ which is greater than 0 ∴ a real solution.

for $a = 3 , c=3$ we have

$Discriminant =0$ which is equal to 0 ∴ a real solution.

for $a = 5 , c=4$ we have

$Discriminant =-44$ which is less than 0 ∴ not a real solution.

7 0

2 years ago