Answer:
Yes
Step-by-step explanation:
We don't even have to do a calculation.
The arch of the bridge is at point C.
The top of the yacht's mast is at E.
Even though the yacht is much closer to the water's edge, its mast has a much smaller angle of elevation.
The yacht can easily pass under the bridge.
Answer:
a. x=8
b.Step 1: Simplify both sides of the equation.
2(2x−2)=4x−4
(2)(2x)+(2)(−2)=4x+−4(Distribute)
4x+−4=4x+−4
4x−4=4x−4
Step 2: Subtract 4x from both sides.
4x−4−4x=4x−4−4x
−4=−4
Step 3: Add 4 to both sides.
−4+4=−4+4
0=0
Answer:
All real numbers are solutions.
c. Step 1: Simplify both sides of the equation.
3(x+1)=4x+7−x
(3)(x)+(3)(1)=4x+7+−x(Distribute)
3x+3=4x+7+−x
3x+3=(4x+−x)+(7)(Combine Like Terms)
3x+3=3x+7
3x+3=3x+7
Step 2: Subtract 3x from both sides.
3x+3−3x=3x+7−3x
3=7
Step 3: Subtract 3 from both sides.
3−3=7−3
0=4
all credit goes to mathpapa
Answer:
<em>The second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>
Step-by-step explanation:
We can't confirm the length of these diagonals based on the appearance of the figure, so let us apply Pythagorean Theorem;
This diagonal divides each figure ( square + rectangle ) into two congruent, right angle triangles ⇒ from which we may apply Pythagorean Theorem, where the diagonal acts as the hypotenuse;
5^2 + 5^2 = x^2 ⇒ x is the length of the diagonal,
25 + 25 = x^2,
x^2 = 50,
x = √50
Now the same procedure can be applied to this other quadrilateral;
3^2 + 7^2 = x^2 ⇒ x is the length of the diagonal,
9 + 49 = x^2,
x^2 = 58,
x = √58
<em>Therefore the second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>
Answer:
DBA =110 degree
Step-by-step explanation:
angle DBA is central angle
central angle = arc angle = 110 degree
