Answer:
119/100 = 357/X
Step-by-step explanation:
since 357 is the price with the extra 19% tax, you can put 119 and 357 as numerators in a fraction because thats the price % of total cost with the tax, then have the denominators as the normal price without tax. so 119/100 bc 119 is the total cost % with tax, and 100 as the normal cost %. same for the opposite side, 357/X. 357 being the price with the tax and X being the price without the tax. so you just cross multiply to find X. so 100 × 357 (35,700) then divide the answer of that by 119 (35,700/119) to find X (300)
Length= 40cm
Breadth= 22cm
Perimeter of the rectangle= Length of the wire
=2(l+b)= 2(40cm + 22cm)
=2\times62cm = 124cm
Now, the wire is rebent into a square.
Perimeter= 124cm
4\times side=124
Therefore side= \frac{124}{4}cm= 31cm
So, the measure of each side= 31cm
Area of rectangular shape= l\times b
=40cm\times22cm
=880cm^2
Area of a square shape= \left(Side\right)^2
=\left(31\right)^2=961cm^2
Since 961cm^2\ >\ 880cm^2
Hence, the square encloses more area.
Answer:
a) s = -16
+ 192t + 96
b) Height of the football after 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.
Step-by-step explanation:
Given:
s = -16
+
t + 
where: s is the height of the football above the ground, t is the time,
is the initial velocity and
is the initial height.
The height of the building =
= 192 feet and the initial speed of the ball =
= 96 feet per second, then;
s = -16
+ 192t + 96
a) The polynomial is given as:
s = -16
+ 192t + 96
b) The height of the football when t = 2 seconds is;
s = -16(2) + 192(2) + 96
= -32 + 384 + 96
= -32 + 480
s = 448
The height of the football when t = 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.
Every triangle measures 180 degrees.
In order to get the answer you need to add every equation and set it equal to 180.
2x+4+2x-9+x=180
Combine like terms.
5x-5=180
Add 5 to the other side.
5x=185
Divide by 5.
x = 37
Now, plug 37 in for every x.
Angle A: 2(37)-9
Angle B: 2(37)+4
Angle C: 37
The measures are:
Angle A = 65
Angle B = 78
Angle C = 37
Hope this helps!
Answer:
5398
Step-by-step explanation:
7715-2212+10-(5x23)
7715-2212+10-115
5503+10-115
5513-115
5398