Answer:
Step-by-step explanation:
<u>Sequential Operations
</u>
Mathematical operations can be done in sequence or in batches if they are of the same type. For example, we can add many terms in one single operation, but we cannot add and multiply in one go, because there are priorities when dealing with products and sums. Same happens with powers.
In our problem we are required to perform a sequence of operations like follows
Add s to t:
Add the result to r
Raise what you have to the 7th power
This is the final result
Answer:
see the explanation
Step-by-step explanation:
we have triangle ΔABC
step 1
Rotate 90 degrees clockwise ΔABC about point C to obtain ΔA'B'C'
Remember that
A rotation is a rigid transformation
An object and its rotation are the same shape and size, but the figures may be turned in different directions
so
ΔABC and ΔA'B'C' are congruent
ΔABC≅ ΔA'B'C
step 2
Dilate the triangle ΔA'B'C' to obtain triangle ΔEDF
Remember that
A dilation is a non rigid transformation
A dilation produces similar figures
If two figures are similar, then the ratio of its corresponding angles is proportional and its corresponding angles are congruent
Find the scale factor of the dilation
The scale factor is equal to the ratio of corresponding sides
In this problem
Let
z ----> the scale factor
so
Multiply the length sides of triangle ΔA'B'C' by the scale factor z to obtain the length sides of triangle ΔEDF
Note: in this problem the scale factor z is less than 1
That means ----> the dilation is a reduction
Answer:
No. She should have multiplied 12 and One-half to solve
6 yards
Step-by-step explanation:
Number of girls = 12
Each girl needs = 1/2 yard of strings
Suzie workings:
12/1 ÷ 1/2
= 12/1 × 2/1
= 24/1
= 24 yards
No. She should have multiplied 12 and One-half to solve
Correct workings:
Total strings needed for 12 girls = 12 × 1/2 yards
= (12*1)/2
= 12/2
= 6 yards
Answer:
976cm^2
Step-by-step explanation:
Surface area:
Ara of cross section x 2 = 1/2 x 2 x 14 x 24 = 14 x 24 = 336
Area of base = 14 x 10 = 140
area of slope x 2 = 25 x 10 x 2 = 500
Total surface area = 500+140+336 = 640 + 336 = 973cm^2
Answer:
Step-by-step explanation:
< 7, 0 > + < - 8, 6 >
< 2, 3 > + < - 3, 3 >
< - 6, 9 > + < 5, - 3 >
