Answer:
i. The ratio of the areas of the two triangles is 5:8.
ii. The area of the larger triangle is 24 in².
Step-by-step explanation:
Let the area of the smaller triangle be represented by 
, and that of the larger triangle by 
.
Area of a triangle = 
x b x h
Where; b is its base and h the height.
Thus,
a. The ratio of the area of the two triangles is:
Area of smaller triangle = x b x h
= x 5 x h
= 
h
Area of the lager triangle = x b x h
= x 8 x h
= 4h
So that;
Ratio = 
= 
The ratio of the areas of the two triangles is 5:8.
b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;
=
=
5 = 15 x 8
= 120
= 
= 24
The area of the larger triangle is 24 in².
The given statement 5x=4y=12 and x+6y=5 is true.
<u>Step-by-step explanation:</u>
The question comes from linear equations in two variables.
Here, two unknown variables represent a certain situation and their value can be obtained by solving both the given equations.
The cost of cookie is represented by the variable x and cost of doughnuts can be represented by the variable y.
The coefficient of each variable in the equation represent the quantity or the number of units of each baked good.
On comparing the given equations from the data provided in the question, the statement can be stated as true.
Answer:
rectangle
Step-by-step explanation:
u can use a graph paper
By graphing the given points, we will get the attached figure
which represents:
f(x) = 3 sin x
but sin x = cos (x - π/2)
∴ f(x) = 3 cos ( x - π/2 )
The correct choice is option ⇒⇒⇒ <span>f(x) = 3 cos(x − pi over 2 )
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