1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MissTica
3 years ago
10

the ages of two friends Sunaina and Tanish are differ by 2 years sunaina's father is twice as old as Sunaina and Tanisha is twic

e as old as his brother Shiva The ages of sunaina's father and Shiva differ by 40 years
Mathematics
1 answer:
nikklg [1K]3 years ago
4 0

Let S represent Sunaina's age.

Let T represent Tanish's age.

So 2S - T/2 = 40, 4S - T = 80.

Either S - T = 2 or T - S = 2. Let's try both cases.

Either 3S = 78 or 3S = 82.

Since 82 is not a multiple of 3, S = 26.

So Sunaina is 26 years old and Tanish is 24 years old.

You might be interested in
Two parallel lines are crossed by a transversal. Parallel lines x and y are cut by transversal w. On line x where it intersects
Tems11 [23]

Answer: The size of angle 1 is 56.5°

Step-by-step explanation: Please refer to the diagram attached.

The question gives us two parallel lines x and y as shown in the attachment. Then both parallel lines are cut by a transversal line w.

The transversal eventually results in four angle being formed at each point of intersection, both in line x and in line y. In line x, the angles formed are given as angles, 2, 4, 3 and 1. In line y, the angles formed are 6, 8, 7 and 5.

It is important to note that with the inclusion of the transversal line w, there is a relationship between the angles. looking at line y, we have one of the angles measuring 123.5 degrees (angle 6). That means angle 8 is derived as follows;

Angle 8 + Angle 6 = 180 (Angles on a straight line equals 180)

Angle 8 + 123.5 = 180

Subtract 123.5 from both sides of the equation

Angle 8 = 56.5 degrees

Note also that angle 5 is opposite angle 8 and opposite angles are equal. Therefore angle 5 equals 56.5 degrees as well.

Looking at line x, angle 1 is alternate to angle 8 (alternate interior angles are equal), therefore angle 1 equals 56.5 degrees also.

The diagram and the accompanying explanation shows that angle 1 measures 56.5°

7 0
3 years ago
Read 2 more answers
Generalize the pattern by finding the nth term.
Veseljchak [2.6K]

Answer:

4n+2

Step-by-step explanation:

The common difference between the terms is 4 which means that the sequence is an arithmetic sequence.

The general formula for arithmetic sequence is:

a_{n}=a_{0}+(n-1)d

where a_n is the nth term, a_0 is the first term and d is the common difference between them.

We know that

a_{0}=6\\d=4

Putting the value in general formula:

a_{n}=6+4(n-1)\\a_{n}=6+4n-4\\a_{n}=4n+6-4\\a_{n}=4n+2\\

So the generalized pattern is 4n+2 ..

6 0
2 years ago
Solve for r: C = 2 pi r. (1
katen-ka-za [31]

Answer:

C/2pi = r

Step-by-step explanation:

C = 2 pi r

divide with 2 pi on both sides to solve for r

C/2pi = r

5 0
2 years ago
Here are two similar rectangles.
asambeis [7]

Answer:

40.32cm^{2}

Step-by-step explanation

4*1.2=4.8

7*1.2=8.4

8.4*4.8=40.32

7 0
3 years ago
ANSWER ASAP ITS FOR FINALS
Roman55 [17]

Answer:

9. 66°

10. 44°

11. 2\sqrt{7}

12. 2\sqrt{3}

13. 27.3

14. 33.9

15. 22°

16. 24°

Step-by-step explanation:

9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:

120 + 80 = 200

360 - 200 = 160

12(5) + 6 = 66°

19(5) - 1 = 94°

94 + 66 = 160

10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:

68 x 2 = 136

180 - 136 = 44

11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = \sqrt{28}

a = 2\sqrt{7}

12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:

a² + b² = c²

a² + 2² = 4²

a² + 4 = 16

a² = 12

a = \sqrt{12}

a = 2\sqrt{3}

13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:

Sin(47°) = \frac{20}{x}

x = 27.3

14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:

Tan(62°) = \frac{x}{18}

x = 33.9

15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:

cos(θ) = 52/56

θ = cos^-1 (0.93)

θ = 22°

16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:

sin(θ) = 4/10

θ = sin^-1 (0.4)

θ = 24°

Good luck!!

8 0
2 years ago
Other questions:
  • Jerry spent 2/3 of his money on a gift for his brother and 1/12 of the money on a card. He saved ther rest. What fractional amou
    15·1 answer
  • The endpoints of a line segment are G(1,7) and H(-3,11). Find the coordinates of the midpoint M.
    10·1 answer
  • 128 is 74% of what number
    9·2 answers
  • I need help with one and two. Polt them on the graph
    6·1 answer
  • PLEASE HELP I NEED THIS DONE VERY FADT PLZZZ
    14·2 answers
  • 5d=10d-20 please answer quickly
    14·2 answers
  • PLS HELP I DONT KNOW WHAT TO DO.​
    7·2 answers
  • An air-conditioning company counted 56 invoices at the end of the month. They charge $450 for a new installation and $75
    7·1 answer
  • Look at this set of 10 numbers:
    11·1 answer
  • Pls answer I’ll mark brainliest if first person is correct
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!