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Elden [556K]
3 years ago
6

Plz help me with this

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0
Area of triangle=1/2(base×height)
360=1/2((4x-2)(7x+5))
720=(4x-2)(7x+5)
FOIL the binomial
720=28x^2+6x-10
Bring 720 to the other side
28x^2+6x-10-720=0
28x^2+6x-730=0
Factor 2 out
2(14x^2+3x-365)=0
Factor 2(14x+73)(x-5)=0
x-5=0
x=5
It can't be 14x-73=0 because the length can't be negative.
You're welcome.
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2 years ago
In the year 2002, a company made $3.3 million in profit. For each consecutive year after that, their profit increased by 5%. How
Anton [14]

Answer:

The profit would be 7.7 million in 2007

Step-by-step explanation:

3 0
3 years ago
A triangular playground has angles with measures in the ratio 8 : 6 : 4. What is the measure of the smallest angle?
Airida [17]

Answer:

20°

Step-by-step explanation:

One way of doing this is to find the constant of proportionality, k:

8k + 6k + 4k = 90°    Then 18k = 90°, and k turns out to be 90/18, or 5.

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8 0
3 years ago
Read 2 more answers
Type the correct answer in each box. If necessary, round your answers to the nearest hundredth.
disa [49]

Answer:

Perimeter = 32.44 units

Area = 30 square units

Step-by-step explanation:

Given

Vertices

A(2,8), B(16,2) and C(6,2)

WE have to determine the lengths of all sides before finding the perimeter and area.

The formula of modulus is:

d = \sqrt{(x_{2}- x_{1})^{2} +(y_{2}-y_{1})^{2}}\\AB=\sqrt{(16-2)^{2} +(2-8)^{2}}\\=\sqrt{(14)^{2} +(-6)^{2}}\\=\sqrt{196+36}\\ =\sqrt{232}\\=15.23\\\\BC=\sqrt{(6-16)^{2} +(2-2)^{2}}\\=\sqrt{(-10)^{2} +(0)^{2}}\\=\sqrt{100+0}\\ =\sqrt{100}\\=10\\\\AC=\sqrt{(6-2)^{2} +(2-8)^{2}}\\=\sqrt{(4)^{2} +(-6)^{2}}\\=\sqrt{16+36}\\ =\sqrt{52}\\=7.21\\\\

So the perimeter is:

Perimeter=AB+BC+AC\\=15.23+10+7.21\\=32.44\ units

Using hero's formula,

s=\frac{perimeter}{2}\\s=\frac{32.44}{2}\\ s=16.22\\Area=\sqrt{s(s-a)(s-b)(s-c)}\\=\sqrt{16.22(16.22-15.23)(16.22-10)(16.22-7.21)}\\=\sqrt{(16.22)(0.99)(6.22)(9.01)}\\=\sqrt{899.91}\\=29.99\ square\ units

Rounding off will give us 30 square units ..

4 0
3 years ago
Negative 4 equals r/20 minus 5
levacccp [35]

Answer: r = - 20

Step-by-step explanation:

-4 = \frac{r}{20} - 5

\frac{r}{20} = 4-5

\frac{r}{20}=-1

\frac{r}{20}*20 = -1 * 20

r = -20

5 0
3 years ago
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