Answer/Step-by-step explanation:
✔️Find AC using Pythagorean Theorem:
AC² = 25.2² - 11.3²
AC² = 507.35
AC = √507.35
AC = 22.5 (nearest tenth)
✔️Find m<A using trigonometric ratio:
Reference angle = A
Opp = 11.3
Hyp = 25.2
Sin(A) = opp/hyp
Sin(A) = 11.3/25.2
A = sin^{-1}(11.3/25.2)
A = 26.6° (nearest tenth)
✔️Find m<B using trigonometric ratio:
Reference angle = B
Adj = 11.3
Hyp = 25.2
Cos(A) = adj/hyp
Cos(A) = 11.3/25.2
A = cos^{-1}(11.3/25.2)
A = 63.4° (nearest tenth)
Answer:
B. move forward 7, left 6, and down 5
Step-by-step explanation:
By the <u>convention of 3D geometr</u>y, the coordinates of a point (x,y,z) represent how far the point is from the origin forward-backward , right/left , up-down respectively with prior one for the positive coordinate and latter for the negative coordinate.
so we need to move forward 7 for x=7 then to left 6 for y=-6 and then down 5 for z=-5.
So firstly, <u>the factor (4n - 5) cannot be further factored, so we will be focusing on 2n² + 5n + 3.</u>
So for this, we will be factoring by grouping. Firstly, what two terms have a product of 6n² and a sum of 5n? That would be 2n and 3n. Replace 5n with 2n + 3n:
Next, factor 2n² + 2n and 3n + 3 separately. Make sure that they have the same quantity on the inside of the parentheses:
Now we can rewrite this expression as<u> 
, which is your final answer.</u>
Answer:
1 sandal= $7
1 flip flop =$2.5
Step-by-step explanation:
say one sandal costs x and one flip flop costs y
3 x+y=23.50
4x+2y=33
solve using simultaneous equationsto find the values of x and y
Answer:
x = 8
FE = 54
Its Acute, Isosceles triangle
Step-by-step explanation:
Well you have to do this out of order and use some knowledge about questions, (It always helps.)
Lets do 12 first:
If this were a scalene triangle, you wouldn't be able to solve for it. Because no sides are equal and this isn't equilateral, because it only shows two equal angles. Therefore it is Isosceles.
Also, if this were a right triangle we would see the little square for an angle. It isn't obtuse because if you look at the triangle and its angles it isn't wider than the square (this only works on the ones that are to scale like this one) So again by elimination and some knowledge of the question we figure out that it is an acute scalene triangle
Now we try and find X. Because Angles F, and E are equal, we can make the two sides equal to each other and solve for x.
Add 24 on both sides
8x - 24 = 40
+24 +24
Divide by 8 on both sides
8x/8 = 64/8
And Voilla
X = 8
Hope this helped! Ask me if you have any further questions!
