Answer:
12 centimeters
Step-by-step explanation:
count each square is on the rectangle
Here is your answer:
Your answer is 18%
Reason: That's because 18 has a invisible decimal point:
18.
Then you move to decimal and change it into a %
Which will make it 18%
Your answer is...
18%
Answer:
- 5
Step-by-step explanation:
Step 1:
60 = - 12r
Step 2:
12r = -60
Step 3:
r = - 60 ÷ 12
Answer:
r = - 5
Hope This Helps :)
Answer:
X is 2
Step-by-step explanation:
4 - 1 is 3
-10 + 13 is 3
Answer:
Perimeter of
is
.
Explanation:
Given: In
,
,
and AD= 8cm.
In ![\triangle ADC](https://tex.z-dn.net/?f=%5Ctriangle%20ADC)
Sum of the measure of the angles of triangles is 180 degree.
![\angle CAD+\angle CDA+\angle ACD=180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20CAD%2B%5Cangle%20CDA%2B%5Cangle%20ACD%3D180%5E%7B%5Ccirc%7D)
or
![\angle CAD+120^{\circ}=180^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20CAD%2B120%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D)
Simplify:
![\angle CAD=60^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20CAD%3D60%5E%7B%5Ccirc%7D)
∵ AD= 8cm and
to calculate the length of CD we use tangent ratio i.e,
![\tan = \frac{perpendicular}{Adjacent}](https://tex.z-dn.net/?f=%5Ctan%20%3D%20%5Cfrac%7Bperpendicular%7D%7BAdjacent%7D)
then;
or
![\frac{1}{\sqrt{3}} =\frac{8}{CD}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%20%3D%5Cfrac%7B8%7D%7BCD%7D)
Simplify:
cm.
Also, find the length of AC, we use sine ratio i.e,
.
Then,
or
On simplify:
cm.
Now, in triangle ABC;
,
then
[Sum of the measure of the angles in the triangle is 180 degree]
To calculate the length of BC;
[∴
]
therefore,
![\tan 60 = \frac{BC}{16}](https://tex.z-dn.net/?f=%5Ctan%2060%20%3D%20%5Cfrac%7BBC%7D%7B16%7D)
or
![\sqrt{3}= \frac{BC}{16}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%3D%20%5Cfrac%7BBC%7D%7B16%7D)
Simplify:
cm.
Using Pythagoras theorem in triangle ACB;
Let BD be x cm
AB = 8+x cm , AC = 16 cm and
cm
![AB^2=AC^2+BC^2](https://tex.z-dn.net/?f=AB%5E2%3DAC%5E2%2BBC%5E2)
or
or
Simplify:
x=24 cm
Therefore, the length of AB = 8+x= 8+24=32 cm
Perimeter(P) of triangle ABC is equal to the sum of the sides of the triangle.
⇒ P= AB+BC+AC =
cm