Let the sister be x years old.
Then Jessica is x + 5 years old.
Their ages add to 47.
x + x + 5 = 47
2x + 5 = 47
2x = 42
x = 21
x + 5 = 26
Jessica is 26, and her sister is 21.
Answer:
The constant of proportionality is for every i female rabbit there is 5 baby rabbits so the constant of proportionality is 1:5
Step-by-step explanation:
Answer:
Three-fourths
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
∠QSR≅∠XZY ---> given problem
∠QRS≅∠XYZ ---> given problem
so
△QRS ~ △XYZ ----> by AA Similarity theorem
Remember that, if two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
That means
∠Q≅∠X
∠R≅∠Y
∠S≅∠Z
<em>In the right triangle XYZ</em>
Find the tangent of angle X
---> opposite side angle X divided by adjacent side angle X
substitute the given values
Simplify
Remember that
∠Q≅∠X
so
therefore
---->Three-fourths
Answer:
10 units
Step-by-step explanation:
In this equation the parenthesis act as a multiplier, so you take w(2w + 2) = 40.
the variable w represents the number 1, so you multiply the numbers within the parenthesis.
w x 2w = 2w
w x 2 = 2w
so now you have 2w + 2w = 40
add the w's for 4w = 40
Now you need to get rid of the number next to the W.
divide the four from the W and divide the 40 as well
4w/4= w
40/4 = 10
W=10
area (pool)=area (rectangle) - area (triangle)
1) we calculate the area of the rectangle:
area (rectangle)=lenght x width
area (rectangle)=36 ft x 20 ft=720 ft².
2) we calculate the area of the triangle:
area (triangle)=(base x height) / 2
area (triangle)=(6 ft x 5 ft) / 2=15 ft².
3) we calculate the area of this pool:
area (pool)=720 ft²-15 ft²=705 ft²
Answer: the area of the pool is 705 ft².
