The length of PQ is 19.66 units
Step-by-step explanation:
The given is:
1. PK = KQ = 12
2. m∠P = 35º
We need to find the length pf PQ
∵ PK = KQ
∴ m∠P = m∠Q
∵ m∠P = 35°
∴ m∠Q = 35°
The sum of measures of the angles of a triangle is 180°
∴ m∠P + m∠Q + m∠K = 180°
∴ 35 + 35 + m∠K = 180
∴ 70 + m∠K = 180
- Subtract 70 from both sides
∴ m∠K = 110°
Let us use cosine rule to find the length of PQ
∵ PQ = 
∵ PK = 12 , KQ = 12 , m∠K = 110°
- Substitute these values in the rule
∴ PQ = 
∴ PQ = 19.66
The length of PQ is 19.66 units
Learn more:
You can learn more about triangle in brainly.com/question/12985572
#LearnwithBrainly
4, 3, 2, 5, 6, 6, 10, 5, 6, 2, 3, 4, 6, 7, 14,5<br><br>
3. What is the mode(s) of the data set?
guapka [62]
Answer:
6
Step-by-step explanation:
6 shows up 4 times
Answer:
the x means 9
Step-by-step explanation:
Answer:
<u>Rs. 72</u>
Step-by-step explanation:
We have 2 values here,
- Perimeter of the rectangle = 360 cm
- Breadth of the rectangle (b) = 60 cm.
Firstly, we must find the length of the rectangle (l).
So, according to the formula,
Perimeter = 2 (b + l)
360 = 2 (60 + l)
360 = 120 + 2l
360 - 120 = 2l
240 = 2l
120 cm = l
Now, we need to find the area of the rectangular wall & then convert it from cm² to m² as the cost of painting is given in m².
So,
Area = lb
Area = 120 × 60
Area = 7,200 cm²
Let's convert it to m² now,
7200/1000
= 7.2 m²
Given, cost of painting per m² = Rs. 10
So, the cost of painting the wall is,
10 × 7.2
= <u>Rs. 72</u>
<u>________________________________</u>
Hope it helps!
Answer:
y = -10x + 6
Step-by-step explanation:
