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dezoksy [38]
3 years ago
12

Find the area of the triangle.

Mathematics
1 answer:
Step2247 [10]3 years ago
8 0

Answer:

10units^2

Step-by-step explanation:

Unshaded Right Triangle

A=\frac{ab}{2} \\=\frac{4*2}{2} \\=4units^2

Whole Triangle

A=\frac{ab}{2} \\=\frac{4*7}{2}\\ =14units^2

Shaded triangle

14-4=10units^2

If you dont want as many steps, just calculate the triangle and dont worry about the right triangle the formula is

A=\frac{h_{b}b}{2} \\=\frac{4*5}{2}\\ =10units^2

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This is equations and graph. Please answer correctly :(
miss Akunina [59]
1. y= -x + 3

2. y = x - 3

3. y = 3x + 1

4. y = -3x - 3
7 0
3 years ago
The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo
Butoxors [25]

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

y\leq 40-x....(1)

y\leq x-20...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

y=-x+40...(3)

y=x-20...(4)

Adding equation (3) and (4) we get

2y=20

y=10

Substitute y=10 in equation (3) we get

10=40-x

x=40-10=30

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

y=40

Substitute y=0 in equation (3)

x=40

Substitute x=0 in equation (4)

y=-20

Substitute y=0 in equation (4)

x=20

Substitute x=0 and y=40 and in equation (1)

40\leq 40

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

-20\leq -20

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

5 0
3 years ago
Read 2 more answers
Complete the table below to solve the equation $2x + 12 = 4^x$
IrinaVladis [17]
2(2) + 12 = 4^(2)
4 + 12 = 16
16 = 16

only x = 2 will have f(x)=g(x) so x = 2 is answer
5 0
3 years ago
A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the
Vaselesa [24]

Answer:

2 / 7

Step-by-step explanation:

Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'

HHH , TTT , HTT, THT , TTH , THH , HTH , HHT  = total outcomes

P (A) = 2 consecutive heads , P (B) = atleast one tail

P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8

P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8

P (A | B) = P ( A ∩ B ) / P (B)

P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes =   2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8

So, P (A | B) = ( 2 / 8 ) /  ( 7 / 8 ) = 2 / 7

4 0
3 years ago
615.44 rounded to the nearest tenth
Whitepunk [10]
The answer is 615.4

Hope this helps :)
5 0
3 years ago
Read 2 more answers
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