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konstantin123 [22]
3 years ago
11

A triangle has an area of 9m2 and a base of 6m. how do I find the height of this triangle?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0
You know the triangle has a base of 6 meters, and that the formula to find the area of a triangle is 1/2bh or one-half of the base times the height. So, you would plug in 9 meters squared=one half of six times h, or 9m^2=1/2(6)*(h). In simplifying this, you would get 3h=9m^2. Divide both sides by three and get h=3. Hope this helps, and if you need any further explanations, please let me know!
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Find all of the eigenvalues λ of the matrix A. (Hint: Use the method of Example 4.5 of finding the solutions to the equation 0 =
Svetradugi [14.3K]

Answer:

\lambda=8,\ \lambda=-5

Step-by-step explanation:

<u>Eigenvalues of a Matrix</u>

Given a matrix A, the eigenvalues of A, called \lambda are scalars who comply with the relation:

det(A-\lambda I)=0

Where I is the identity matrix

I=\left[\begin{array}{cc}1&0\\0&1\end{array}\right]

The matrix is given as

A=\left[\begin{array}{cc}3&5\\8&0\end{array}\right]

Set up the equation to solve

det\left(\left[\begin{array}{cc}3&5\\8&0\end{array}\right]-\left[\begin{array}{cc}\lambda&0\\0&\lambda \end{array}\right]\right)=0

Expanding the determinant

det\left(\left[\begin{array}{cc}3-\lambda&5\\8&-\lambda\end{array}\right]\right)=0

(3-\lambda)(-\lambda)-40=0

Operating Rearranging

\lambda^2-3\lambda-40=0

Factoring

(\lambda-8)(\lambda+5)=0

Solving, we have the eigenvalues

\boxed{\lambda=8,\ \lambda=-5}

8 0
3 years ago
Simplify the following. (7+5i)^2−(3+2i)=
Ivahew [28]

Answer:

hope that will help you

7 0
2 years ago
Teri ran 8 kilometers. One mile is approximately equal to 1.6 kilometers. Which measurement is closest to the number of miles Te
balandron [24]

Answer:

12.8

Step-by-step explanation:

8 x 1.6 = 12.8

That should be the answer

6 0
2 years ago
Read 2 more answers
Please help I really need help because I have to turn it in soon and yeah so comment
BartSMP [9]

Answer:

hi

Step-by-step explanation:

4- 3*1=3

6*1/100= 0.06

3+0.06= 3.06

5- 7*1= 7

3*1/10= 0.3

4*1/1,000= 0.004

7+0.3+0.004= 7.304

7- 3.3, 3.30

8- 9.3000, 9.30

9- 9.6, 9.600

10- 4.4000, 4.40

for #4-5 just put the number of 0s in the denominator of the fraction for the answer

3 0
2 years ago
169= (24/2)^2 +(d/2)^2
OlgaM077 [116]

Answer: d = ±10

<u>Step-by-step explanation:</u>

169 = (\frac{24}{2})^{2} + (\frac{d}{2})^{2}

169 = (12)² + \frac{d^{2}}{4}

169 = 144  + \frac{d^{2}}{4}

25 =            \frac{d^{2}}{4}

100 = d²

√100 = √d²

 ±10 = d

6 0
2 years ago
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