Please answer i will give brainliest

A triangle has a base of (3x + 7) and a height of (5x - 1). A second

Mars2501 [29]

Answer:

The difference between the area of the original triangle and the area of the new triangle is $\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)$ .

Step-by-step explanation:

The equation for the area of a triangle ( $A_{\bigtriangleup}$ ) is:

$A_{\bigtriangleup} = \frac{1}{2}\cdot b \cdot h$

Where:

$b$ - Base, dimensionless.

$h$ - Height, dimensionless.

The expression for each triangle are described below:

First Triangle ( $b = 3\cdot x + 7$ , $h = 5\cdot x - 1$ )

$A_{\bigtriangleup,1} = \frac{1}{2}\cdot (3\cdot x+7)\cdot (5\cdot x -1)$

Second Triangle ( $b = 3\cdot (3\cdot x+7)$ , $h = 2\cdot (5\cdot x -1)$ )

$A_{\bigtriangleup,2} = 3\cdot (3\cdot x+7)\cdot (5\cdot x -1)$

The difference between the area of the original triangle and the area of the new triangle is:

$\Delta A_{\bigtriangleup} = A_{\bigtriangleup,2}-A_{\bigtriangleup,1}$

$\Delta A_{\bigtriangleup} = 3\cdot (3\cdot x+7)\cdot (5\cdot x-1)-\frac{1}{2} \cdot (3\cdot x+7)\cdot (5\cdot x-1)$

$\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)$

The difference between the area of the original triangle and the area of the new triangle is $\Delta A_{\bigtriangleup} = \frac{5}{2}\cdot (3\cdot x +7)\cdot (5\cdot x -1)$ .

7 0

3 years ago

In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In fact, according to Purchasi

tangare [24]

Answer:

Step-by-step explanation:

This is a binomial probability distribution because there re only 2 possible outcomes. It is either a surveyed company outsourced some part of their manufacturing process in the past two to three years. The probability of success, p would be that a randomly selected company x, outsourced some part of their manufacturing process in the past two to three years. From the information given, p = 54/100 = 0.54

Number of success, x = 338

Number of samples, n = 555

We want to determine the probability that 338 or more companies outsourced some part of their manufacturing process in the past two or three years which is expressed as

P(x ≥ 338)

From the binomial probability calculator,

P(x ≥ 338) = 0.0006

The percentage is 0.0006 × 100 = 0.06%

4 0

3 years ago

A word problem for -100 divided by 4

bagirrra123 [75]

Lisa owed 100 dollars, the person she owed it to decided she could pay her one quarter of it per month. If i need to answer the word problem as well, put it in the comments. and i'll add the answer<span />

4 0

4 years ago

If a photocopier makes copies in 1/3 s, then at the same rate, how many copies does it make in 4 minutes?

irina1246 [14]

Answer:

80 copies

Step-by-step explanation:

4 minutes= 240 seconds. So I did 240 seconds divided by 3 seconds (one copy is made in that time) then you get 80. I don't know if that explanation make sense but the math checks out.

3 0

3 years ago

At Chestatee Middle School, 120 students are in choir. The ratio of girls to boys in choir is 5:3.

Serhud [2]

Let the total number of students be x;
given that the ratio of girls to boys is 5:3, then:
The equation that represents the number of girls will be:
5/8x
The equation that represents the number of boys will be :
3/8x
The equation that represents the total number of boys and girls will be:
5/8x+3/8x

B] suppose there are g number of girls. The equation that represents the number of boys in terms of number of girls will be:
(ratio of boys to girls)×(number of girls)
3/5×(g)
=(3g)/5

8 0

3 years ago

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