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myrzilka [38]
3 years ago
13

In A ABC, AB = 51 cm, BC = 52 cm and CA = 101 cm, then find the area of A ABC,​

Mathematics
1 answer:
liberstina [14]3 years ago
7 0

Step-by-step explanation:

sorry..by any chance if my answer is incorrect

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I am very stuck with this
Bingel [31]

Answer:

see explanation

Step-by-step explanation:

To multiply the vector by a scalar, multiply each of the elements by the scalar.

To add 3 vectors add the corresponding elements of each vector

2a + 3b + 4c

= 2\left[\begin{array}{ccc}2\\3\\\end{array}\right] + 3\left[\begin{array}{ccc}-4\\1\\\end{array}\right] + 4\left[\begin{array}{ccc}3\\2\\\end{array}\right]

= \left[\begin{array}{ccc}4\\6\\\end{array}\right] + \left[\begin{array}{ccc}-12\\3\\\end{array}\right] + \left[\begin{array}{ccc}12\\8\\\end{array}\right]

= \left[\begin{array}{ccc}4-12+12\\6+3+8\\\end{array}\right]

= \left[\begin{array}{ccc}4\\17\\\end{array}\right]

8 0
3 years ago
Find the area. Simplify your answer
castortr0y [4]

Answer:

Solution given:

length[l]=3x+7

breadth [b]=2x+3

we have

area of rectangle=l×b=(3x+7)(2x+3)

=6x²+14x+9x+21=6x²+23x+21 units ²

3 0
2 years ago
Simplify 1/4y + 1 1/2 + 2 - 1 3/4y - 12​
faust18 [17]

Answer:

(-1 (3 y + 17))/2

Step-by-step explanation:

Simplify the following:

y/4 - (1 + 3/4) y - 12 + 1/2 + 1 + 2

Put 1 + 3/4 over the common denominator 4. 1 + 3/4 = 4/4 + 3/4:

y/4 - 4/4 + 3/4 y - 12 + 1/2 + 1 + 2

4/4 + 3/4 = (4 + 3)/4:

y/4 - (4 + 3)/4 y - 12 + 1/2 + 1 + 2

4 + 3 = 7:

y/4 - 7 y/4 - 12 + 1/2 + 1 + 2

Put each term in y/4 - (7 y)/4 - 12 + 1/2 + 1 + 2 over the common denominator 4: y/4 - (7 y)/4 - 12 + 1/2 + 1 + 2 = y/4 - (7 y)/4 - 48/4 + 2/4 + 4/4 + 8/4:

y/4 - (7 y)/4 - 48/4 + 2/4 + 4/4 + 8/4

y/4 - (7 y)/4 - 48/4 + 2/4 + 4/4 + 8/4 = (y - 7 y - 48 + 2 + 4 + 8)/4:

(y - 7 y - 48 + 2 + 4 + 8)/4

Grouping like terms, y - 7 y - 48 + 2 + 4 + 8 = (y - 7 y) + (4 + 2 + 8 - 48):

((y - 7 y) + (4 + 2 + 8 - 48))/4

y - 7 y = -6 y:

(-6 y + (4 + 2 + 8 - 48))/4

4 + 2 + 8 - 48 = -34:

(-34 - 6 y)/4

Factor -2 out of -6 y - 34:

(-2 (3 y + 17))/4

The gcd of -2 and 4 is 2, so (-2 (3 y + 17))/4 = ((2 (-1)) (3 y + 17))/(2×2) = 2/2×(-(3 y + 17))/2 = (-(3 y + 17))/2:

Answer: (-1 (3 y + 17))/2

3 0
2 years ago
How do you change 13/10 to a mixed number
MrRa [10]
13/10 so 10/10=1
13-10=3

1 3/10 is 13/10 as a mixed number

hope that helps!
8 0
2 years ago
Read 2 more answers
A random sample of 16 students selected from the student body of a large university had an average age of 25 years. We want to d
Gennadij [26K]

Answer:

Option D) significantly different from 24

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, \bar{x} = 25

Sample size, n = 16

Alpha, α = 0.05

Population standard deviation, σ = 2

First, we design the null and the alternate hypothesis

H_{0}: \mu = 24\text{ years}\\H_A: \mu \neq 24\text{ years}

We use Two-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{25 - 24}{\frac{2}{\sqrt{16}} } = 2

Now, z_{critical} \text{ at 0.05 level of significance } = \pm 1.96

Since,  

The calculated z statistic does not lie in the acceptance region, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, it can be concluded that the mean age is

Option D) significantly different from 24

3 0
3 years ago
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