Answer:
$270
Step-by-step explanation:
Find her gross income....then subtract taxes:
30 hr/week * $10/hr - $ 30 = $270
There are 12 months in a year and the equation is asking for 5 years, so 5x12=75
The rent starts at $700 and I️t increases $25 each month for 75 months
$700 +$25(75)
$700+ $1,875
$2,575
Answer:
P=6
Step-by-step explanation:
okay so the problem states that this pentagon has one line of symmetry.
if you know that AE=4x, AB=2x+1, and Bc=x+2, then you know that CD=x+2, and DE=2x+1.
since you know the perimeter is 18 cm, you can make an equation to find x:
4x+2(2x+1)+2(x+2)=18
-->4x+4x+2+2x+4=18
-->10x+6=18
-->10x=12
-->x=1.2
P would be 6
Answer:
∠A = ∠C = 45° and ∠B = ∠D = 135°
Step-by-step explanation:
In the picture attached ABCD is a parallelogram in which the measure of angle C is one third of the measure of angle B.
Since in a parallelogram opposite angle are equal then we can say easily that ∠A = ∠C and ∠B = ∠D
We know in a parallelogram sum of all internal angles = 360°
Therefore ∠A + ∠B +∠C + ∠D = 360°
Since ∠A = ∠C and ∠D = ∠B
∠C + ∠B + ∠C + ∠B = 360°
2(∠B + ∠C) =360
∠B + ∠C = 180
Now ∠C = 1/3×∠B
∠B + 1/3×∠B = 180
4/3 ×(∠B) =180
∠B = ![\frac{3}{4}(180) = 135](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%28180%29%20%3D%20135)
∠C = 1/3×∠B = 135/3 = 45°
Therefore ∠B = ∠D = 135° and ∠A = ∠C = 45°
The slant height is 51 cm. The radius can be found from the Pythagorean theorem:
r^2 + (24 cm)^2 = (51 cm)^2
r^2 = (51^2 -24^2) cm^2 = 2025 cm^2
r = 45 cm
The area of the circular base is
A = π·r^2 = 2025π cm^2
The lateral area is
A = πrs . . . . . where s is the slant height
A = π·(45 cm)·(51 cm) = 2295π cm^2
Then the total area is
total area = base area + lateral area
= 2025π cm^2 + 2295π cm^2
= 4320π cm^2