We have an isosceles triangle;
A=opposite angle side a.
B=opposite angle side b.
C=opposite angle side c.
A=B
Method 1:
We can divide the isosceles triangle in two right triangles,
hypotenuse=7
side=9/2=4.5
B=A=arccossine (4.5/7)=49.994799...º≈50º
C/2=90º-50º=40º ⇒ C=2*40º=80º
Answer:
a=7; A=50º
b=7; B=50º
<span>c=9; C=80º
Method 2:
Law of cosines:
a²=b²+c²-2bcCosA ⇒CosA=(a²-b²-c²)/(-2bc)
CosA=(49-49-81) / (-126)=0.642857
A=arco cos (81/126)≈50º
B=A=50º
A+B+C=180º
50º+50º+C=180º
C=180º-100º
C=80º
Answer:
</span>a=7; A=50º
b=7; B=50º
<span>c=9; C=80º</span>
Undefined
Slope is equal to the change in
y
y
over the change in
x
x
, or rise over run.
The change in
x
x
is equal to the difference in x-coordinates (also called run), and the change in
y
y
is equal to the difference in y-coordinates (also called rise).
Substitute in the values of
x
x
and
y
y
into the equation to find the slope.
The expression contains a division by
0
0
The expression is undefined.
Answer:
b=14
Step-by-step explanation:
the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.
5b=b+56
4b=56
b=14
Answer: It will land on the bush after 1.25 seconds.
First, we will start with what we are given the equation: h(t) = -16t^2 + 30
Now, we should input a 5 for the h(t) because we want the seconds that will give us a height of 5 seconds.
5 = -16t^2 + 30
Solve the equation:
0 = -16t^2 + 25
To solve this, you could use the quadratic formula or factor out a -1 and you will have the difference of two squares.
Either way the answer is 1.25 seconds.
The perimeter of a rectangle is P=2l+2w where l is the length and w is the width.
Plug in values of l and w in:
P=2(x+8)+2(x-1)
P=2x+16+2x-2
P=4x+14
So the perimeter of the rectangle is 4x+14 units
Hope this helped!
