Since this is a right triangle, we can just use Pythagorean Theorem to solve for the side SU:
Length of Hypotenuse^2 = Length of First Leg^2 + Length of Second Leg^2
SU^2 = ST^2 + TU^2
SU = sqrt(ST^2 + TU^2)
SU = sqrt(42^2 + 56^2)
SU = sqrt(4900)
SU = 70
Therefore, the answer is is 70 centimeters.
Answer:
4 sqrt(2) =c
Step-by-step explanation:
The base is the triangle
We can use the Pythagorean theorem to solve
a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse
4^2 + 4^2 = c^2
2 * 4^2 = c^2
Take the square root of each side
sqrt(2 * 4^2) = sqrt(c^2)
sqrt(2) *sqrt( 4^2) = c
4 sqrt(2) =c
So we can use the formula 2lw +2wh+ 2lh, which is the surface area formula and we can set that to equal 20. 2lw +2wh+ 2lh=20
lw+wh+lh= 10
Let’s isolate L
Lw+Lh=10-wh
Let’s distribute L
L(w+h)=10-wh
L=(10-wh)/(w+h)
You can use this formula to plug in values for w and h and it will work as long as their products are less than 10
Well, causation is the relationship between cause and effect. I think the answer is A. If it is raining, then there are clouds in the sky because of the fact that the cause is the clouds and the effect is the rain from the clouds. Hope this helped!
Answer:
6=72 cm; 7=15 cm; 8=30 in; 9)56.5 degrees; 10)40 in
Step-by-step explanation:
6) The height of the triangle is 12 cm. The base is around 10 cm. Triangles are 1/2(b)h, so:
1/2(10)=5
5*12=60 cm
72 is closest to this.
7) Volume is l*w*h, so:
2.5*1.5=3.75
3.75*4=15 cm
8) Again, the height is 5 and the base is 12. 1/2(b)h means:
1/2(12)=6
6*5=30 in
9) All triangles have 180 degrees. So first, add the degrees you know:
33.5+90=123.5
Now, subtract that from 180:
180-123.5=56.5
10) Trapezoids can be found by multiplying the height by the smaller base, so:
6*8=40 in
Hope this helped!
