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k0ka [10]
3 years ago
12

One side of triangle is half the longest side. The third side is

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0
Let S be the first side. 
Longest side is then 2S.
Third side is 2S-10.
Perimeter is sum of all three sides = S+2S+2S-10 = 75
=>
5S-10=75
5S=75+10=85
S=17

Therefore
S=17 is the first side. 
Longest side is then 2S=2*17=34.
Third side is 2S-10=2*17-10=24.
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The XYZ company is seeing its value declining at a rate of 3.2% per year. If the current value is $2,300,000, what will the valu
slega [8]
Given that its value decreases by r = -3.2% (i.e decreasing means that the rate is negative) and that the current value of the company is P = 2,300,000.

The value of the company in n = 5 years is given by

FV=P(1+r)^n \\  \\ =2,300,000(1-0.032)^5 \\  \\ =2,300,000(0.968)^5=2,300,000(0.8499) \\  \\ =\$1,954,810.81
4 0
4 years ago
Need Help Answer Please!!
stepan [7]

Answer:

The correct option is B

Step-by-step explanation:

The equation of a line in point-slope form is:

y-y1 = m(x-x1)

where m is the slope and (x1,y1) a point on the line

here m=2 and (x1,y1)=(2,3)

substitute these values into the equation.

y-3 =2(x-2)

Thus the correct opttion is B....

7 0
3 years ago
Which statements about finding the area of the equilateral triangle are true? Check all that apply.
lara31 [8.8K]

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.

The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.

Point D is the midpoint of BC,

b=\frac{BC}{2}=\frac{8.7}{2}=4.35

Use Pythagorean theorem in triangle COD. So, option 1 is correct.

OC^2=OD^2+DC^2

5^2=a^2+(4.35)^2

25=a^2+18.9225

a=\pm 2.46526

a\approx\pm 2.5

The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.

The line OC bisects the angle C.

tan(30^{\circ})=\frac{a}{b}

\frac{1}{\sqrt{3}=\frac{a}{4.35}

a\approx\pm 2.5

Therefore option 2 is correct.

The perimeter of an equality triangle is

P=3a=3(8.7)=26.1

Option 3 is incorrect.

A=\frac{\sqrt{3}}{4}a^2=\frac{\sqrt{3}}{4}(8.7)^2=32.77

Option 5 is incorrect.

Therefore options 1, 2 and 4 are correct.

3 0
3 years ago
Read 2 more answers
Hay 150 numeros en una rifa ¿ cuantos habria que comprar para tener un 8% de probalidad pra ganarla
krok68 [10]

Answer:

12 numeros

Step-by-step explanation:

para que pueda obtener el 8% de probabilidad, tendrá que comprar el 8% de los números

8% x 150

<u> 8 </u>  x 150

100

=12 numeros

espero eso ayude

3 0
3 years ago
What is 6 thousandths of a meter of a decimal
Svetllana [295]
0.006
That's you're answer
5 0
3 years ago
Read 2 more answers
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