Answer:
Step-by-step explanation:
15
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
Answer:
Horizontal stretch by a factor of ½.
Step-by-step explanation:
We were given the parent function as:
![y = \sqrt[3]{0.5x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7B0.5x%7D%20)
This was transformed to:
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
Let
![g(x) = \sqrt[3]{0.5x}](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7B0.5x%7D%20)
and
![f(x) = \sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
Then:

Hence the parent function has been stretched horizontally by a factor of 1/2 to obtain the transformed function.
3. 101 + x
B. 101 + 12 = 113 pounds
4. d(2p)
B. 14(88) = 1232
Hope this helps!! :)