Answer:
Square Root of 384
Step-by-step explanation:
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>
Answer:
3
Step-by-step explanation:
Here is the full question :
This sign shows admission fees and ticket prices for a museum :
General Admission: $18
Tickets to Special Exhibits $7
Tickets to Movies $6
Note: Tickets to the Special Exhibit and the Movie are in addition to the General Admission fee
The next day, another group spent a total of $61. Each person in this group paid for general admission, and one person bought a special exhibit ticket. How many people were in this group?
If only one person bought a special exhibit ticket, the amount spent on general admission = 61 - 7 = $54
Since everyone would have to pay the general admission ticket, we can determine the number of people in the group
number of people in the group = total amount spent on general admission / price of general admission per person
= $54 / $18 = 3
10 x 7 = 70
1 x 7 = 7
9 x 7 = 70 - 7
9 x 7 = 63
Answer:
Step-by-step explanation:
Rewrite this quadratic in standard form: 3x^2 + 7x - 1.
The coefficients of x are {3, 7, -1}, and so the discriminant is b^2 - 4ac, or
7^2 - 4(3)(-1), or 49 + 12, or 61. Because the discriminant is positive, this quadratic has two real, unequal roots