Answer:
d
Step-by-step explanation:
none of the above mhhmm
Answer:
S = 85cm^2
Step-by-step explanation:
The surface area of a square pyramid is given by the following formula:
![S=2hb+b^2](https://tex.z-dn.net/?f=S%3D2hb%2Bb%5E2)
where it has taken into account the sum of the area of a square and four triangles:
![4(\frac{hb}{2})+b*b=2bh+b^2](https://tex.z-dn.net/?f=4%28%5Cfrac%7Bhb%7D%7B2%7D%29%2Bb%2Ab%3D2bh%2Bb%5E2)
h: slant height = 6cm
b: base = 5cm
By replacing in the formula you obtain:
![S=2(5cm)(6cm)+(5cm)^2=85cm^2](https://tex.z-dn.net/?f=S%3D2%285cm%29%286cm%29%2B%285cm%29%5E2%3D85cm%5E2)
hence, the surface area is 85cm^2
Step-by-step explanation:
f(x)=2×2-32
f(5)=252-32
f(5)=220
Answer:
∠S ≅ ∠Q and TQ = SR
Step-by-step explanation:
Recall the rules for quadrilaterals:
- Opposite sides are equal
- Opposite angles are equal
In this case choice 3 suits both rules. TQ = SR and ∠S ≅ ∠Q.
Choice 1: TQ ≠ TS
Choice 2: RS ≠ ST
Choice 4: ∠R ≠ ∠Q
Answer:
<u>£4.20</u>
Step-by-step explanation:
Let :
- cost of 1 kg banana = x
- cost of 1 kg apple = y
Equations formed :
- 4x + 3y = 7.50 [Equation 1]
- 3x + 5y = 8.10 [Equation 2]
Multiply Equation 1 by 5 and Equation 2 by 3 :
- 20x + 15y = 37.50
- 9x + 15y = 24.30
Subtract the newly formed equations :
- 11x = 13.20
- <u>x = 1.20</u>
Finding y :
- 4(1.20) + 3y = 7.50
- 4.80 + 3y = 7.50
- 3y = 2.70
- <u>y = 0.90</u>
Then :
- Cost of 1 kg banana = £1.20
- Cost of 1 kg apple = £0.90
Cost of 2 kg bananas and 2 kg of apples :
- 2(1.20) + 2(0.90)
- 2(2.10)
- <u>£4.20</u>