Answer:
Answers are in bold in the explanation.
Step-by-step explanation:
1878 x 1000 = 187800
493 x 1000 = 493,000
73 x 1000 = 73000
8 x 1000 = 8000
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches
Answer:
Option D (-4,7)
Step-by-step explanation:
we have
Square TUVW with vertices T(-6,1), U(-1,0), V(-2,-5), and W(-7,-4
<u><em>The question is</em></u>
Find out the coordinates of U'
Part a) Reflection: in the y-axis
we know that
The rule of the reflection of a point across the y-axis is
(x,y) -----> (-x,y)
so
U(-1,0) -----> U'(1,0)
Part b) Translation (x,y) —> (x-5,y+7)
That means ---> the translation is 5 units at left and 7 units up
so
U'(1,0) -----> U''(1-5,0+7)
U'(1,0) -----> U''(-4,7)
therefore
Option D (-4,7)
Answer:
The outering is 11 cm so let's see what the Area is. We use the formula Area of a circle:
A = πr² = πd2/4
If:
Radius, r = 11 cm
Then:
Diameter, d = 22 cm
Circumference, C = 69.115038378975 cm
Area, A = 380.13271108436 cm²
now all we need to do is subtracts the inner circle Area.
If:
Radius, r = 9 cm
Then:
Diameter, d = 18 cm
Circumference, C = 56.548667764616 cm
Area, A = 254.46900494077 cm²
Thus: 380.13271108436 cm² - 254.46900494077 cm² =
125.6637061436 cm²
Step-by-step explanation:
