<h3>
Answer: b = 17</h3>
====================================================
Explanation:
The line must go through the point (5,2) which means x = 5 and y = 2 pair up together.
We'll plug these x and y values into the equation and solve for b.
y = -3x+b
2 = -3(5)+b
2 = -15+b
2+15 = b
17 = b
b = 17
The equation y = -3x+b turns into y = -3x+17
324 pounds
24% =
= 0.24
0.24 × 1350 = 324 pounds
He should collect 324 more pounds of waste paper
A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to
. The <em>measures</em> of the internal <u>angles</u> of the <u>triangle</u> given in the question are A =
, B =
, and C =
.
A <u>triangle</u> is an example of a class of <em>figures</em> referred to as <em>plane shapes</em>. It has <u>three</u> straight <u>sides</u> and <u>three</u> internal <u>angles</u> which sum up to
.
Considering the given question, let the <u>sides</u> of the triangle be: a = 6 km, b = 6.5 km, and c = 7 km.
Apply the <em>Cosine rule</em> to have:
=
+
- 2ab Cos C
So that;
=
+
- 2(6 * 6.5) Cos C
49 = 36 + 42.25 - 78Cos C
78 Cos C = 78.25 - 49
= 29.25
Cos C = 
= 0.375
C =
0.375
= 67.9757
C = 
Apply the <em>Sine rule</em> to determine the <u>value</u> of B,
= 
= 
SIn B = 
= 0.861
B =
0.861
= 59.43
B = 
Thus to determine the value of A, we have;
A + B + C = 
A +
+
= 
A =
- 127.4
= 52.6
A = 
Therefore the <u>sizes</u> of the <em>internal angles</em> of the triangle are: A =
, B =
, and C =
.
For more clarifications on applications of the Sine and Cosine rules, visit: brainly.com/question/14660814
#SPJ1
To find the answer we can break the figure into two parts: a rectangle and a semi circle.
The perimeter of the rectangle:
(10+4)×2
=28 ft
The perimeter of the semi circle:
perimeter of a circle: 2×兀×radius
(The radius: 4/2)
We divide the perimeter by two as it is a semi circle,which is half the circumferece perimeter of a circle.
[2(3.14)(4/2)] / 2
=6.28 ft
We can then add up the numbers to find the answer, and remember that 4 cm is overlapped:
28+6.28-4
=30.28ft
Therefore the answer is 30.28ft.
Hope it helps!
Answer:
The intercepts if this line are -7 and 2.
Y-intercept is (0,2)
and the other one is (-7,0)
Intercpts are where the line goes through another line.
Step-by-step explanation: