Answer:
1/sqrt10
Step-by-step explanation:
1) Find out cosA using formula (cosA)^2+(sinA)^2=1
The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5
So cosA=-4/5 or cosA=4/5.
Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.
2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.
(sinA/2)^2= 0.1
sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10
But 270°< A< 360°, then 270/2°<A/2<360/2°
135°<A/2<180°, so sinA/2 must be positive and the only correct answer is
sin A/2= 1/sqrt10
Answer:
35
Step-by-step explanation:
First, we add the ratio of the mango to strawberry ice cream and we're going to end up with 2+5=7. If we divide 49 by 7, we're going to find out how much we need to multiply to both sides of the ratio to get the specific amounts. So, if we multiply 7 (49/7) to 5, we're going to get 35. Therefore the number of strawberry ice cream is 35.
Also, we can check this by multiplying 7 to 2 as well, where we will end up with 14. 35 + 14 = 49 so we know this is correct!
Answer:
243x - 16
Step-by-step explanation:
here you i hope it helps
or else it can be this one too
Make a stem-and-leaf plot for the following data. 59, 38, 33, 26, 44, 35, 32, 47, 45, 24, 27, 46, 34, 30, 36
aliina [53]
Stem : leaf :
2 4,6,7
3 0,2,3,4,5,6,8
4 4,5,6,7
5 9
The diagonal of the rectangular solid is 
Explanation:
The length of the rectangular solid is 
The width of the rectangular solid is 
The height of the rectangular solid is 
We need to determine the diagonal of the rectangular solid.
The diagonal of the rectangular solid can be determined using the formula,
Substituting the values , and , we get,
Squaring the terms, we get,
Adding the terms, we have,
Simplifying, we have,
Thus, the diagonal of the rectangular solid is
