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ValentinkaMS [17]
2 years ago
7

In the diagram, AB and EF are horizontal lines and CB is a vertical line segment. If FB : FC = 4 : 3, what are the coordinates o

f point D?
Mathematics
2 answers:
sergij07 [2.7K]2 years ago
8 0
For the answer to the question above, are your diagram shows that the horizontal lines and is a vertical line segment where as FB: 3 , If C is equaled to 3, so the coordinate of the point D would be (-6,-4).I hope my answer helped you.
ozzi2 years ago
6 0

the answer is C.(-6, -4) for plato users hope this helps

please mark brainliest if able to do so good luck :)

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Al purchases a speedboat costing $24,500. State taxes are 5.5% and federal excise tax is 13%. What is the total purchase price?
trapecia [35]

Answer: The total purchase price is $ 29,032

Step-by-step explanation:

Hi, to solve this problem you have to solve the percentages of each taxes first.

So :

  • state taxes =$24,500 × 5.5% = $1,347.5
  • federal tax = $24,500 × 13% = $3,185

The next step is adding the taxes results to the speedboat cost.

so:

speedboat = $24,500

speedboat + taxes = $24,500 + $1,347.5 +$3,185 = $29,032

The total purchse price for the speedboat is $29,032.

8 0
2 years ago
Bonny Blair of the United States set a world record in speed skating when
Nookie1986 [14]

Answer:

4589.75J

Step-by-step explanation:

Kinetic energy = 1/2 x M x v^2

Given

Mass M = 55.0kg

V = 12.92m/s

Kinetic energy

= 1/2 x 55.0 x (12.92)^2

= 1/2 x 55.0 x (12.92 x 12.92)

= 1/2 x 55.0 x 166.9

Multiply through

= 9179.5/2

= 4589.75J

7 0
2 years ago
By how much is 90125 more than 58478​
lorasvet [3.4K]

Hey there!

First, we should subtract them.

90125 - 58478 = 31,647

90125 is 31647 more than 58478.

Hope this helps!

Have a great day!

8 0
2 years ago
The subjects of a study by Dugoff et al. (A-5) were 10 obstetrics and gynecology interns at the University of Colorado Health Sc
astra-53 [7]

Answer:

The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).

Step-by-step explanation:

Intern            No. of Breast

Number        Exams Performed               X²

1                         30                                  900

2                        40                                 1600

3                        8                                        64

4                        20                                   400

5                          26                                 676

6                           35                               1225

7                            35                               1225

8                            20                                400

9                             25                              625

<u>10                                 20                        400 </u>

<u>                                   </u><u> ∑ 259                  ∑ 7515</u>

Mean= X`= ∑x/n= 259/10= 25.9

Variance = s²= 1/n-1[∑X²- (∑x)²/n]

= 1/0[7515- (259)²/10]= 1/9[7515- 6708.1]

= 806.9/9=89.655= 89.66

Standard Deviation= √89.655= 9.4687

Hence

The value of t with significance level alpha= 0.05 and 9 degrees of freedom  is t(0.025,9)= 2.262

The 95 % Confidence interval is given by

x`±t(∝,n-1) s/√n

So Putting the values

25.9± 2.262( 9.4687/√10)

= 25.9 ±2.262 (2.9943)

= 25.9 ± 6.7730

= 25.9 +6.7730=32.6730

25.9 -6.7730= 19.1269

= 19.1269, 32.6730

The 95 percent confidence interval for the mean of the population from which the study subjects may be presumed to have been drawn is (19.1269, 32.6730).

6 0
2 years ago
At what points does the helix r(t) = sin t, cos t, t intersect the sphere x2 + y2 + z2 = 65? (round your answers to three decima
Firdavs [7]
\mathbf r(t)=\langle x(t),y(t),z(t)\rangle=\langle\sin t,\cos t,t\rangle

x^2+y^2+z^2=\sin^2t+\cos^2t+t^2=65
\implies t^2=64
\implies t=\pm8
7 0
2 years ago
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