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Serggg [28]
3 years ago
5

Jack is 15 years younger than Sydney, The sum of their ages is 57. What is Sydney’s age?

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0

Answer:

Sydney is 42 years old

Step-by-step explanation:

57 - 15 = 42

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In checkers, pieces move diagonally. The board shows a move with two consecutive jumps. Write a composition of translations for
dusya [7]

Answer:- The composition of translation is :

Translation: (x,y)→(x-2,y+2)   [as the given piece moved 2 steps to the left and 2 steps upwards]

Translation:(x,y)→(x+2,y+2)   [as the given piece moved 2 steps to the right and 2 steps upwards]

A single translation that moves the piece from its original position to its ending position is  [ignoring the diagonal movement]

Translation:-(x,y)→(x,y-4)[as piece have to go 4 steps downwards]


5 0
3 years ago
Solve this question g(3)=
Virty [35]

Answer:

4

Step-by-step explanation:

Where g is 3, the value is 4.

To find the values, the number in the parentheses tells you the x coordinate of the point. Find the point that corresponds to the coordinate to see where it lines up on the y-axis. The answer is the y-value.

So, another way of looking at is x(3). Where x is 3, y is 4.

7 0
2 years ago
ABC and ADC are triangles. The area of triangle ADC is 52m^2. Work out the length of AB. Give your answer to 1 decimal place.
emmainna [20.7K]

Answer:

AB = 10.2m

Step-by-step explanation:

Area of triangle ADC = 52m²

AD = 12m, angle D = 102°

Area of triangle ADC = ½ × a × b × sinC

52m² = ½ × 12 × CD × sin102

52 = 6 × CD × 0.9781

CD = 52/(6× 0.9781)

CD = 52/(5.8686)

CD = 8.86m = 8.9m (1 decimal place)

Using Cosine rule to find AC = d

d² = a² + c² -2×a×d ×cosD

d² = 8.9² + 12² - 2×8.9×12× Cos102

Cos102 = -0.2079

d² = 267.61744

d = √(267.61744)

AC = d = 16.4m

For ∆ABC

Using sine rule:

a/sinA = b/sinB

AB/sin46 = AC/sin120

AB/0.7193 = 16.4/0.866

AB = 14.2024 ×0.7193

AB = 10.2m (1 decimal place)

3 0
2 years ago
Read 2 more answers
Write 9.33 as a mixed number and as an improper fraction. Do not try to simplify your answers.​
makkiz [27]

Answer:

Improper Fraction:
933/100

Mixed Number:
9 33/100


Step-by-step explanation:

Have a great rest of your day
#TheWizzer

8 0
2 years ago
in 2003, the population of an African country was about 26.5 million people which is 2 million more than 5 times the population
Nitella [24]

5p + 2,000,000 = 22,500,000

5p = 20,500,000

p = 20,500,000/5

p = 4,100,000 population in 1950

8 0
3 years ago
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