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2 years ago

Taylor is twice as old as jessi if you add their ages together you get 27 hold old are Taylor and jessi

Mathematics

1 answer:

deff fn [24]2 years ago

6 0

Answer: Taylor is 14 and Jessi is 13

Step-by-step explanation:

Since you can't divide 27 by 2, you would most likely break it in half. SInce the question states that Taylor is still older, she would be 14, and Jessi 13.

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Your task is to build a road joining a ranch to a highway that enables drivers to reach the city in the shortest time. The perpe

lubasha [3.4K]

Answer:

(a)In the attachment

(b)The road of length 35.79 km should be built such that it joins the highway at 19.52km from the perpendicular point P.

Step-by-step explanation:

(a)In the attachment

(b)The distance that enables the driver to reach the city in the shortest time is denoted by the Straight Line RM (from the Ranch to Point M)

First, let us determine length of line RM.

Using Pythagoras theorem

$|RM|^{2}=30^2+x^2\\|RM|=\sqrt{30^2+x^2}$

The Speed limit on the Road is 60 km/h and 110 km/h on the highway.

Time Taken = Distance/Time

Time taken on the road $=\frac{\sqrt{30^2+x^2}}{60}$

Time taken on the highway $=\frac{50-x}{110}$

Total time taken to travel, T $=\frac{\sqrt{30^2+x^2}}{60}+\frac{50-x}{110}$

Minimum time taken occurs when the derivative of T equals 0.

$T^{'}=\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}\\\frac{x}{60\sqrt{30^2+x^2}}-\frac{1}{110}=0\\\frac{x}{60\sqrt{30^2+x^2}}=\frac{1}{110}\\110x=60\sqrt{30^2+x^2}\\$

Square both sides

$12100x^2=3600(30^2+x^2)\\12100x^2=3240000+3600x^2\\12100x^2-3600x^2=3240000\\8500x^2=3240000\\x^2=\frac{3240000}{8500} =381.18\\x=\sqrt{381.18} =19.52$

The road should be built such that it joins the highway at 19.52km from the point P.

In fact,

$|RM|=\sqrt{30^2+19.52^2}=35.79km$

4 0

3 years ago

Oscar painted1/6 of a wall in 2/3hours at this rate how many hours will it take him to paint the whole wall?

topjm [15]

Answer:

Step-by-step explanation:

the answer is b because you add all those together then boom

8 0

3 years ago

Sixty-three people participated in a study to see if they were left-brain dominant or right-brain dominant. In the study, the pe

fgiga [73]

The two-way table is attached.

We know that 63 people took the survey, and 22 of them were left-handed. This means that 63-22=41 of them are right handed.

Out of the 63 total, 37 are left brain dominant; this means that 63-37=26 are right brain dominant.

Of the 26 that are right brain dominant, 21 are right handed; this means 26-21=5 are left handed.

Of the 22 left-handed people, 5 are right brain dominant; this means 22-5 = 17 are left brain dominant.

Of the 37 left brain dominant people, 17 are left handed; this means 37-17=20 are right handed.

8 0

3 years ago

Read 2 more answers

Please help me ASAP!!! could someone help me do my geometry?

elena-14-01-66 [18.8K]

Answer:

9. m(YZ) = 102°

10. m(JKL) = 192°

11. m<GHF = 75°

Step-by-step explanation:

9. First, find the value of x

4x + 3 = 3x + 15 (inscribed angle that are subtended by the same arc are equal based on the inscribed angle theorem)

Collect like terms

4x - 3x = -3 + 15

x = 12

4x + 3 = ½(m(YZ)) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Plug in the value of x

4(12) + 3 = ½(m(YZ))

48 + 3 = ½(m(YZ))

51 = ½(m(YZ))

Multiply both sides by 2

51*2 = m(YZ)

102 = m(YZ)

m(YZ) = 102°

10. First, find the value of x.

7x + 5 + 6x + 6 = 180° (opposite angles in an inscribed quadrilateral are supplementary)

Add like terms

13x + 11 = 180

13x = 180 - 11

13x = 169

x = 169/13

x = 13

7x + 5 = ½(m(JKL)) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Plug in the value of x

7(13) + 5 = ½(m(JKL))

96 = ½(m(JKL))

Multiply both sides by 2

2*96 = m(JKL)

m(JKL) = 192°

11. First, find x.

5x + 15 = ½(11x + 18) (inscribed angle of a circle = ½ the measure of the intercepted arc)

Multiply both sides by 2

2(5x + 15) = 11x + 18

10x + 30 = 11x + 18

Collect like terms

10x - 11x = -30 + 18

-x = -12

Divide both sides by -1

x = 12

m<GHF = 5x + 15

Plug in the value of x

m<GHF = 5(12) + 15

m<GHF = 60 + 15

m<GHF = 75°

4 0

3 years ago

Plz help me plz plz thank you

DENIUS [597]

Answer:

240

Step-by-step explanation:

bruh all you have to do is (11+5)*15

6 0

3 years ago