Hello,
Let's assume n,n+1,n+2,n+3,n+4 the 5 numbers
n+(n+1)+...+(n+4)=5n+10=265
5n=265-10
5n=255
n=51
The 5th number is 51+4=55
Answer:
The required answer is
Therefore the number in green box should be 7.
Step-by-step explanation:
Given:
AB = 7√2
AD = a , BD = b , DC = c , AC = d
∠B = 45°, ∠C = 30°
To Find:
c = ?
Solution:
In Right Angle Triangle ABD Sine identity we have
![\sin B = \dfrac{\textrm{side opposite to angle B}}{Hypotenuse}\\](https://tex.z-dn.net/?f=%5Csin%20B%20%3D%20%5Cdfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20B%7D%7D%7BHypotenuse%7D%5C%5C)
Substituting the values we get
![\sin 45 = \dfrac{AD}{AB}= \dfrac{a}{7\sqrt{2}}](https://tex.z-dn.net/?f=%5Csin%2045%20%3D%20%5Cdfrac%7BAD%7D%7BAB%7D%3D%20%5Cdfrac%7Ba%7D%7B7%5Csqrt%7B2%7D%7D)
![\dfrac{1}{\sqrt{2}}= \dfrac{a}{7\sqrt{2}}\\\\\therefore a=7](https://tex.z-dn.net/?f=%20%5Cdfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%3D%20%5Cdfrac%7Ba%7D%7B7%5Csqrt%7B2%7D%7D%5C%5C%5C%5C%5Ctherefore%20a%3D7)
Now in Triangle ADC Tangent identity we have
![\tan C = \dfrac{\textrm{side opposite to angle C}}{\textrm{side adjacent to angle C}}](https://tex.z-dn.net/?f=%5Ctan%20C%20%3D%20%5Cdfrac%7B%5Ctextrm%7Bside%20opposite%20to%20angle%20C%7D%7D%7B%5Ctextrm%7Bside%20adjacent%20to%20angle%20C%7D%7D)
Substituting the values we get
![\tan 30 = \dfrac{AD}{DC}= \dfrac{a}{c}\\\\\dfrac{1}{\sqrt{3}}=\dfrac{7}{c}\\\\\therefore c=7\sqrt{3}](https://tex.z-dn.net/?f=%5Ctan%2030%20%3D%20%5Cdfrac%7BAD%7D%7BDC%7D%3D%20%5Cdfrac%7Ba%7D%7Bc%7D%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%3D%5Cdfrac%7B7%7D%7Bc%7D%5C%5C%5C%5C%5Ctherefore%20c%3D7%5Csqrt%7B3%7D)
The required answer is
Answer:
6 units above the x-axis
Step-by-step explanation:
The pair (9,6) are a set of coordinates that indicate how far away from the origin (0,0) the point is.
The coordinates are written (x,y) where 'x' is how far to the left or right of the y-axis (vertical) the point is. The 'y' is how far above or below the x-axis (horizontal) the point is.
So in this case, the set of (9,6) means that the point is located at 9 units to the right of the origin and the y-axis and 6 units above the x-axis
T - Shirts = $10
SweatShirts = 15$
24 *15 =360$
105 - 24 = 81
81 * 10 = 810$
810 + 360 = 1170$
T shirts = 81
Sweat= 24. /A\is the correct Answer
Total 6 points 1-6
that is my understanding wait for wat other rply