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Karo-lina-s [1.5K]
3 years ago
15

Which function of x has the least value for the y-intercept?

Mathematics
1 answer:
dimaraw [331]3 years ago
4 0

Answer:a

Step-by-step explanation:

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Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees
storchak [24]

Answer:

A=34\ units^2

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

A = 30\°\\\\B = 45\°\\\\b = 10

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

So

A + B + C = 180\\\\30 + 45 + C = 180

We solve the equation and thus we find the angle C.

C = 180 - 30-45\\\\C = 105

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The  sine theorem says that:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

Then

\frac{sin(30)}{a}=\frac{sin(45)}{10}

\frac{sin(30)}{\frac{sin(45)}{10}}=a

a=7.071

Also

\frac{sin(105)}{c}=\frac{sin(45)}{10}

\frac{sin(105)}{\frac{sin(45)}{10}}=c

c=13.660

Finally, we use the Heron formula to calculate the triangle area

A=\sqrt{s(s-a)(s-b)(s-c)}

Where s is:

s=\frac{a+b+c}{2}

Therefore

s=\frac{7.071+10+13.660}{2}

s=15.37

A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}

A=34\ units^2

3 0
3 years ago
Find the value of X.
-Dominant- [34]
To find the value of x we first need to find the missing angle in the triangle.

To do that we are gonna add the angles we already have.

64 + 45 = 109

Angles in a triangle measures 180 so to get the missing angle we are gonna subtract 109 from 180

180 - 109 = 71 deg

The missing angle in the triangle is 71 deg


Angles on a straight line adds up to 10 so to find x we are gonna subtract 71 from 180

180 - 71 = 109 degrees

Therefore x is 109 degrees.
6 0
3 years ago
How do you turn f(x) = 3x 2– 40x + 180 into a graph?
Nuetrik [128]

Answer:

Intersept is (4.55,0)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
please answer this question im very desperate and if you get it right in the next 15 mins i will mark you brainliest tysmm :D
Greeley [361]

Answer:

117

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
For what values of h and k does the linear system have infinitely many solutions? 2x1 + 5x2 = −1 hx1 + kx2 = 7
Kruka [31]

Answer:

The values of h and k for a linear system with infinitely many solutions are -2 and 5, respectively.

Step-by-step explanation:

Let 2\cdot x_{1}+5\cdot x_{2} = -1\cdot h\cdot x_{1} + k\cdot x_{2} = 7, if this linear system has infinitely many solutions, then the following conditions must be met:

-1\cdot h = 2 and k = 5.

h = -2 and k = 5

The values of h and k for a linear system with infinitely many solutions are -2 and 5, respectively.

4 0
3 years ago
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