A^2=b^2+c^2-2bc Cos(A)
(270)^2=(255)^2+(442.85)^2-2(255)(442.85)Cos(A)
A=Cos^(-1)(270^2-255^2_(442.85)^2)/(-2*255*442.85)=33.5435
solve for angle A approximately is 33.54 degrees.
sinA/a=SinB/b
Sin33.54/270=SinB/255
B=Sin^(-1)(sin33.54/270*255)approximately is 31.45.
180-31.45-33.54=115.01 is Angle C.
Answer:
36 degrees
Step-by-step explanation:
Subtract 54 from 90
Answer:
The inequality for
is:
![x\geq 142](https://tex.z-dn.net/?f=x%5Cgeq%20142)
Step-by-step explanation:
Given:
Width of rectangle = 3 ft
Height or length of rectangle =
ft
Perimeter is at least 300 ft
To write an inequality for
.
Solution:
Perimeter of a rectangle is given as:
⇒ ![2l+2w](https://tex.z-dn.net/?f=2l%2B2w)
where
represents length of the rectangle and
represents the width of the rectangle.
Plugging in the given values in the formula, the perimeter can be given as:
⇒ ![2(x+5)+2(3)](https://tex.z-dn.net/?f=2%28x%2B5%29%2B2%283%29)
Using distribution:
⇒ ![2x+10+6](https://tex.z-dn.net/?f=2x%2B10%2B6)
Simplifying.
⇒ ![2x+16](https://tex.z-dn.net/?f=2x%2B16)
The perimeter is at lest 300 ft. So, the inequality can be given as:
⇒ ![2x+16\geq 300](https://tex.z-dn.net/?f=2x%2B16%5Cgeq%20300)
Solving for ![x](https://tex.z-dn.net/?f=x)
Subtracting both sides by 16.
⇒ ![2x+16-16\geq 300-16](https://tex.z-dn.net/?f=2x%2B16-16%5Cgeq%20300-16)
⇒ ![2x\geq284](https://tex.z-dn.net/?f=2x%5Cgeq284)
Dividing both sides by 2.
⇒ ![\frac{2x}{2}\geq \frac{284}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B2%7D%5Cgeq%20%5Cfrac%7B284%7D%7B2%7D)
⇒
(Answer)
Answer:
178
Step-by-step explanation:
1246 over a week, (1246/7) in a day. 178 rocks a day
Answer:
a 10 yd 2ft 7 in
b 10 yd 1 ft 2 in
c 99 yd
d. 4840 sq yd 7 sq ft 119 sq in
Step-by-step explanation:
a. 2 ft. 5 in. +
9 yd. 3 ft. 2 in.
---------------------
9 yd 5ft 7 in
but 3 ft = 1yd
9 yd 5ft 7 in
+1yd - 3ft
---------------------------
10 yd 2ft 7 in
b. 4 yd. 8 in
+ 6 yd. 6 in.
----------------------
10 yd 14 in
but 12 in = 1ft
10 yd 14 in
+ 1ft - 12 in
---------------------
10 yd 1 ft 2 in
c. 29 yd. 2 ft. 11 in.
55 yd. 1 ft. 10 in.
+ 13 yd. 1 ft. 3 in.
--------------------------
97 yd 4 ft 24 in
12 in = 1ft
24 in = 2ft
97 yd 4 ft 24 in
+2ft - 24 in
--------------------------------
97 yd 6ft
3 ft = 1yd
6f = 2yd
97 yd 6ft
+2yd - 6ft
---------------------
99 yd
d. 4,839 sq. yd. 8 sq. ft. 139 sq. in.
+ 7 sq. ft. 124 sq. in.
--------------------------------------------------
4839 sq yd 15 sq ft 263 sq in
12*12 = 144 sq in = 1 sq ft
4839 sq yd 15 sq ft 263 sq in
+ 1 sq ft - 144 sq in
--------------------------------------------------
4839 sq yd 16 sq ft 119 sq in
3ft * 3 ft = 9 sq ft = 1 sq yd
4839 sq yd 16 sq ft 119 sq in
+1 sq yd - 9 sq ft
----------------------------------------------
4840 sq yd 7 sq ft 119 sq in