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4 years ago

In what ratio does the points (2,-5) divide the line segment A(-3,5) and B(4,-9)

Mathematics

1 answer:

Strike441 [17]4 years ago

5 0

Your question has been heard loud and clear.

let the ratio be m:n

From section formula

(-3n + 4m)/(m+n) = 2

-3n + 4m = 2m+2n

5n = 2m

m/n = 5/2

m:n = 5:2

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Z=m-x+ y , solve for x

Simora [160]

Step-by-step explanation:

z=m-x+ y

z + x = y + m

x = y + m - z

8 0

4 years ago

A perfectly spherical scoop of ice cream has a surface area of 36π cm2 and the same diameter as the open end of the ice cream co

Ilia_Sergeevich [38]

Answer:

9.43 cm³

Step-by-step explanation:

Given that the surface area of the spherical scoop is 36π cm², we find its radius. The surface area of a sphere, A = 4πr² where r = radius

36π cm² = 4πr²

r² = 36π cm²/4π

r² = 9 cm²

r = √(9 cm²)

r = 3 cm

So, the volume of the spherical scoop of ice cream is thus V = 4πr³/3

= 4π(3 cm)³/3

= 4π(9 cm³)

= 36π cm³

The volume of the ice cream cone is V' = πr²h/3 where r = radius of cone = radius of spherical scoop = 3cm and h = height of cone = 11 cm

V' = π(3 cm)² × 11 cm/3

= 9π cm² × 11 cm/3

= 33π cm³

So, the volume of ice cream that will overflow is thus V - V' = 36π cm³ - 33π cm³

= 3π cm³

= 9.43 cm³

3 0

3 years ago

What are the terms in the expression 7x + 4y + 1?

antoniya [11.8K]

7x, 4y, 1are the terms, and 7x is the leading term.

5 0

3 years ago

A couple plans to invest money into an account that earns 9% interest, compounded quarterly, for their child's college education

DochEvi [55]

Answer:

$282.98

Step-by-step explanation:

For computing the principal amount we need to apply the present value function i.e to be shown in the attachment below:

Data provided that in question

Future value = $25,000

Rate of interest = 9%

NPER = 13 years × 4 quarters = 52 quarters

PMT = $0

The formula is shown below:

= -PV(Rate;NPER;PMT;FV;type)

So, after applying the above formula, the present value is $282.98

8 0

3 years ago

Find the percentage of students that scored higher than 95.5. Round your answer to the nearest percent.

My name is Ann [436]

Answer:

$\% Change = \frac{9}{64} *100 = 14.0625\% \approx 14\%$

So then we have approximately 14% of the values higher than 95.5

Step-by-step explanation:

For this case we assume that the info is given on the figure attached.

From this figure we have the following frequencies for each class

Class Frequency

___________________________

70.5-75.5 13

75.5-80.5 7

80.5-85.5 6

85.5-90.5 10

90.5-95.5 19

95.5-100.5 9

____________________________

Total 64

So we have a total of 64 values and we want to find the percentage of students that scored higher than 95.5 so we can use the formula of relative change and we got:

$\% Change = \frac{9}{64} *100 = 14.0625\% \approx 14\%$

So then we have approximately 14% of the values higher than 95.5

6 0

4 years ago