Answer:
C) The area of the landscape model is A = 40 sq ft.
Step-by-step explanation:
The original dimensions of the rectangular patio model is
Length = L
Width = W
Area of the patio model = LENGTH x WIDTH = L x W
⇒ A = L W ............. (1)
Now, the new area A" is enlarged by a factor of 2
⇒ The new Length = L" = (2 L)
The new Width = W" = (2 W)
So, AREA" = L" x W" = (2 L) x (2 W) = 4 (L W)
⇒ A " = 4 (L W)
But, L W = A .. from (1)
⇒ A" = 4 A
But, the area of the new enlarged patio is 160 square feet.
⇒ 160 sq ft = 4 x A
or, A = 160 / 4 =40 sq ft
⇒ A = 40 sq ft.
Hence, the area of the landscape model is A = 40 sq ft.
Answer:
perimeter of the figure =32 units
area of the figure=56 units²
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
Answer:
The APY of the saving account is 4.0474%
Step-by-step explanation:
We know the formula for APY which is given by
here, r= interset rate = 3.9742% = 0.039742
n = compounding cycles = 12
On plugging these values in the above formula, we get
On simplifying this we get
APY =0.04047395=4.0474%
Answer:
the first statement ( I )
Step-by-step explanation:
