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Trava [24]
3 years ago
11

Find a number which in which added squaresum will be 72.​

Mathematics
1 answer:
Tom [10]3 years ago
7 0

Answer:

8.48528137424^2

Step-by-step explanation:

8.48528137424x8.48528137424

= 72

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The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 6) form a triangle. If angle ABC = 90, what is the area of triangle ABC?(A)
ZanzabumX [31]

Answer:

A:102

Step-by-step explanation:

We are given that the points A(0,0),B(0,4a-5) and C(2a-+1,2a+6) form a triangle.

If angle ABC=90^{\circ}

We have to find the area of triangle ABC

If angle ABC= 90 degree

From given below figure

4a-5=2a+6

4a-2a=6+5

2a=11

a=\frac{11}{2}=5.5

Substitute the values then we get

B(0,17) and C (12,17)

Distance formula

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(0-0)^2+(17-0)^2}=17 units

BC=\sqrt{(12-0)^2+(17-17)^2}

BC=\sqrt{144+0}=\sqrt{144}=12 units

Area of triangle =\frac{1}{2}\times b\times h

Substitute the values

Then we get

Area of triangle ABC=\frac{1}{2}\times 17\times 12

Area of triangle ABC=102 square units

Answer: A: 102

8 0
4 years ago
Determine the​ value(s) of h such that the matrix is the augmented matrix of a consistent linear system. [Start 2 By 3 Matrix 1s
Leni [432]

Answer: h = 9

Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.

The matrix given is:

\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]

Transform this matrix in a row-echelon form:

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For this row-echelon form to have solutions:

-9 + h = 0

h = 9

For this system to be consistent: h = 9.

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xxTIMURxx [149]

Answer:20??

Step-by-step explanation:

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3 years ago
A farmer plants twice as many acres of wheat as corn on his land. If he plants no more than 36 acres, what is the greatest numbe
Leona [35]

Answer: 12 acres could be planted (at most)

Step-by-step explanation: Since there will be twice as many acres of wheat in  comparison to the corn, out of the total 36 acres at least 24 of those will need to be wheat. That leaves 12 acres left for the corn.

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Maria has 14 fewer apps on her phone than Orlando. If the total number of apps on both phones is 34, how many apps are on each p
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