Alright, lets get started.
Sophie has 5 pieces of string that are 4 yards each.
1 yards = 3 feet,
So, 4 yards =
feet
Total number of string she has = 5 piece
So, total length she has =
feet
It means she had 60 feet string in starting.
Now, She uses 3 pieces that are each 3 feet long, means
She uses =
feet
So, remaining string length will be =
feet
Means 51 feet string does Sophie have. : Answer
Hope it will help :)
Answer:
x = -5 and x+1( consecutive integer) = -4
obviously x is smaller than the next integer
Step-by-step explanation:
Let the first integer be x
hence the consecutive integer is x +1
according to the give condition
x + 6(x + 1) = -29
x + 6x + 6 = -29
7x = -29 -6
7 x = -35
x = -35/7
x = -5
x + 1 = -5 + 1 = -4
GOOD LUCK FOR THE FUTURE! : )
Answer:

Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

Therefore, the value of x is 11.
You can double-check using the sine ratio:

Insert the values:

Insert the equation into a calculator:

:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.
The complete question in the attached figure
Part a)
we know that
ABC is a right triangle
∠ACB=45°
AC=hypotenuse------> 6√2 cm
sin 45=AB/AC-----> AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm
the answer part a) isAB=6 cmPart b)
we know that
volume of the pyramid=(1/3)*Area of the base*height
area of the base=50 cm²
height=6 cm
so
volume of the pyramid=(1/3)*50*6----> 100 cm³
the answer part b) is 100 cm³