The first way is to cross multiply
4/5 = 28/x
4x = 5*28
4x = 140
4x/4 = 140/4
x = 35 which is the answer
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The second method is to note the denominators 4 and 28, and to ask yourself "what times 4 gets me 28?". The answer being 7, so 7*4 = 28. If you multiply top and bottom of the fraction 4/5 by 7, then you end up with 7*4 = 28 up top and 7*5 = 35 down below. This is another way of seeing how 4/5 = 28/35
Either way, the answer is x = 35
For the given triangle, m∠G° = 51°, HI = 23.3 units, and GH = 18.9 units.
Step-by-step explanation:
Step 1:
In the triangle, the given angle is 39°, the hypotenuse side's length is 30 units. Assume the opposite side's length is x units.
To determine the opposite side's length, we determine the sin of the angle. To calculate the sin of an angle, we divide the opposite side's length by the hypotenuse's length.


GH measures 18.879 units. Rounding this off, we get 18.9 units.
Step 2:
Assume the side HI measures y units. According to Pythagoras' theorem,


So HI measures 23.314 units. Rounding this off, we get 23.3 units.
Step 3:
GHI is a triangle and all triangles have a total angle of 180°.

So ∠G° measures 51°.
Answer:
Step-by-step explanation:
tanx=12/18
x=arctan(12/18)
tan(90-x)=12/(a+5)
tan(90-arctan(12/18)=12/(a+5)
a+5=12/tan(90-arctan(12/18))
a=12/tan(90-arctan(12/18))-5
a=3
Answer:
The second option, 1,008 cm²
Step-by-step explanation:
This shape has 5 sides to solve for with reguards to surface area.
Let us solve for them all.
[1 & 2 - the triangles]
12 * 9 = 108 cm²
-> I am not going to divide since we have 2 congruent triangles
[3 - the bottom side]
25 * 12 = 300 cm²
[4 - the side facing away]
25 * 9 = 225 cm²
[5 - the side facing up]
25 * 15 = 375 cm²
Now we will add them together for the total.
108 + 300 + 225 + 375 = 1,008 cm²
The surface area for the triangular prism shown is 1,008 cm².
Answer:
the value his child get after 25 years will be $84,314
Step-by-step explanation:
grandmother deposit = $ 7000
compounded interest monthly = 10%
for monthly compounded = 10/12 = 0.833%
time = 25 years = 25 × 12 = 300 months
compound interest =

hence the value his child get after 25 years will be $84,314