Answer:
Mark gets £54
Step-by-step explanation:
Let Gavin share=x
Henry=3x
Mark=2(3x)
x+3x+2(3x)=£90
x+3x+6x=£90
10x=£90
x=9
Gavin=x=£9
Henry=3x
=3(9)=£27
Mark=2(3x)
=2(3*9)
=2(27)
=£54
Answer:
16 cm
Step-by-step explanation:
Given : The area of triangle ABC is 24 square centimeters.
To Find: If B = 30° and a = 6 cm, what is the measure of side c?
Solution:
Formula : ![Area = \frac{1}{2} \times a \times c \times sin B](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20a%20%5Ctimes%20c%20%5Ctimes%20sin%20B)
a = 6
Area = 24
B = 30°
Substitute the values in the formula
![24 = \frac{1}{2} \times 6 \times c \times sin 30](https://tex.z-dn.net/?f=24%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%206%20%5Ctimes%20c%20%5Ctimes%20sin%2030)
![24 = \frac{1}{2} \times 6 \times c \times \frac{1}{2}](https://tex.z-dn.net/?f=24%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%206%20%5Ctimes%20c%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D)
![24 =3 \times c \times \frac{1}{2}](https://tex.z-dn.net/?f=24%20%3D3%20%5Ctimes%20c%20%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D)
![\frac{24 \times 2}{3} =c](https://tex.z-dn.net/?f=%5Cfrac%7B24%20%5Ctimes%202%7D%7B3%7D%20%3Dc)
![16=c](https://tex.z-dn.net/?f=16%3Dc)
Hence the measure of side c is 16 cm
So, Option c is correct.
The answers are f = 2 and p = -2
Answer: 35% off coupon
Explanation:
17.90-5= 12.90
x/17.90=35/100
Cross multiply: 17.90(35)=100x
Simplify: 626.50=100x
Divide by 100: 6.265
Round: 6.27
Subtract: 17.90-6.27=11.63