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BartSMP [9]
3 years ago
6

Solve for x 1/4x^3 = -27/5​

Mathematics
1 answer:
Licemer1 [7]3 years ago
4 0

Answer:

x = ∛(-21/6)

Step-by-step explanation:

Multiply both sides by 20 to remove the fractional coefficients:

5x^3 = -108

Divide both sides by 5:  

x^3 = -21/6

Then x = ∛(-21/6)

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Point C is located at (1, 2), and point D is located at (−4, −2). Find the x value for the point that is 1 over 4 the distance f
lutik1710 [3]

Answer:

Point C occurs on the line x = 1

Point D occurs on the line y = -2

The intersection of both lines occurs at the point E = (1,-2)

The difference between the x coordinates of points D and E is 1 + 1/4 units

The difference between the y coordinates of points C and E is 1 unit

Let point F be the point that is 1/4 the distance from point C to point D

To find the x-coordinate F subtract the difference between the x coordinate of points C and E from the x-coordinate of C:

1 - (1 + 1/4) = -1/4

To find the y-coordinate of F subtract the difference between the y-coordinates of D and E from the y-coordinate of C

2 - 1 = 1

The coordinates of point F are (-1/4, 1)

Therefore, the y value of the point that is 1/4th the

3 0
3 years ago
Read 2 more answers
Area of Composite Figures
AlekseyPX

Answer:

1) 147

2) 87m^{2}  

Step-by-step explanation:

1) Area of triangle = × base length × height

= \frac{1}{2} × 14 × 10

= 70 m^{2}

Area of a semicircle = \frac{\pi r^{2} }{2} ( r is the radius)

Radius = half of diameter = \frac{14}{2} = 7m

Area of semicircle = \frac{\pi 7^{2} }{2} = \frac{\pi49 }{2}

= 77m^{2} ( Nearest whole number )

Total area = 77 + 70 = 147m^{2}

2) Divide the shape into 2 rectangles

Area of a rectangle = length × width

Rectangle 1 = 7 × ( 3+3+5 )

= 7 × 11 = 77m^{2}

Rectangle 2 = 2 × 5

= 10m^{2}

Total Area = 77 + 10 = 87m^{2}

8 0
3 years ago
Read 2 more answers
Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure of a base angle.
Alik [6]

Answer:

The answer is A, the measure of angle Z is 45°.

Step-by-step explanation: According to base angle theorem for iscoscles triangles, the base angles must be the same angle measure if the sides opposite to them are congruent. Since it is an iscoceles triangle, they are automatically congruent. This means that Y is 90 degrees. This fits into triangle sum theorem because if Z is 45 degrees, than x is also 45 degrees making a viable triangle. This means that this is the only one that actually applies. B is wrong because of triangle sum theorem, C is wrong because of triangle sum theorem, and D is wrong because of the SSS postulate and CPCTC.

5 0
3 years ago
Read 2 more answers
What is the answer please tell me ​
IrinaVladis [17]

Answer:

Step-by-step explanation:

B) -8/3 < -2 < -1 < 0 < 3/2 < 8

Positive numbers has more value  

Negative numbers has less value

-2 is less than  2

-2 is less than -1

8 0
3 years ago
Your parents have a credit card with a balance of $3,287.90 at an interest rate of 14.5% APR. They pay $1,200.00 each month on t
aleksandrvk [35]

It will take them approximately 3 months to pay off the balance on the credit card

<h3 /><h3>First Month</h3>

To solve this problem, we need to find the interest on 3287.90 at 14.5%

for the first month, we would have

\frac{x}{3287.90}=\frac{14.5}{100}  \\x=476.74

Now we divide this by 12 to give the interest payable on the first month

\frac{476.75}{12}=39.73

So we have

(3287.90+39.73)-1200=2127.63

<h3>Second Month</h3>

We would do the same thing for the second month and it will give us

(\frac{x}{2127.63}=\frac{14.5}{100})/12\\\frac{308.506}{12}=25.71

For the second month, we have $25.71 as the interest payable

We can calculate how much would be left after the second month.

(2127.63+25.71)-1200=953.34

<h3 /><h3>Third Month</h3>

In the third month, since the balance remaining is less than the monthly payment schedule, we can assume they'd pay everything off which is 953.34.

From the calculations above, we can see that it'll take them 3 months to pay off the credit card balance.

The balance at the end of each month are;

  • $2,127.63
  • $953.34
  • $0

Learn more on APR here;

brainly.com/question/11686424

6 0
2 years ago
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