The perimeter of an isosceles triangle is 15.6m. Find the lengths of its sides, if: b The base is 3m bigger than a leg

Answers

Answer 1
Answer:

Answer:

Length of an isosceles triangle is, 3.12 m

Step-by-step explanation:

Given: Perimeter of an isosceles triangle is 15.6 m.

Let a be the length of sides and b be the base of an isosceles triangle respectively.

To find the length of the sides(a);

Isosceles triangle is a triangle with two equal sides and two equal base angles.

Perimeter of the isosceles triangle is the sum of the three sides i,e

Perimeter(P) = a +b +a = 2a +b              

also it is given that; the base is 3 m bigger than a leg.

⇒ b = 3 a

Substitute this in perimeter formula;

P = 2a +3a =5a

Substitute the value of perimeter = 15.6 m

we have;

15.6 = 5a

Divide both sides by 5 we get;

(15.6)/(5) = (\5a)/(5)

Simplify;

a  = 3.12 m

Therefore, the length of the sides of an isosceles triangle is, 3.12 m



Answer 2
Answer:

Answer:

The legs are 4.2m long.

The base is 7.2m long.

Step-by-step explanation:

x=leg

y=base

We can write two equations with the information given.

y=x+3

2x+y=15.6

We can solve this as a system of equations.

y=x+3

-(2x+y=15.6) - make the bottom equation negative.

-2x=x-12.6 - add the bottom to the top, canceling out the y.

-2x+12.6=x - add 12.6 to both sides.

12.6=3x - add 2x to both sides.

4.2=x - divide both sides by 3.

x=4.2

Now we can solve for y.

y=x+3

y=(4.2)+3 - substitute in the x.

y=7.2


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Bob,Joe,Pete,Tom,and Tim share s sandwiches. How many sandwiches dose each boy get ?

Answers

Answer:

Number of sandwiches per boy = s / 5

Step-by-step explanation:

To determine how many sandwiches each boy gets when they share s sandwiches among Bob, Joe, Pete, Tom, and Tim, you can divide the total number of sandwiches (s) by the number of boys (5):

Number of sandwiches per boy = Total number of sandwiches / Number of boys

Number of sandwiches per boy = s / 5

Each boy gets s/5 sandwiches. The result is a fraction, as it depends on the total number of sandwiches (s) divided equally among the 5 boys.

Answer:

Step-by-step explanation:

1

Solve x^2 - 8x + 3 = 0 by completing the square. Which equation is used in the process? (x - 4)^2 = 0 (x - 4)^2 = 13 (x - 4)^2 = 19 Match the following items by evaluating the expression for x = -3

Answers

Answer:

(x -4)^2 = 13

Step-by-step explanation:

To solve this  equation using the completing the square method;

x^2 - 8x + 3 = 0

The first step is to take +3 to the right-hand side of the equation, 3 becomes negative when it crosses over the equality sign.

The equation becomes;

x^2 - 8x  =  -3

The next step is to add square of  half of the coefficient of x to both-side of the equation. That is; you will add   (-4)^2 to both-side of the equation.

x^2 - 8x  +  (-4)^2=  -3 +  (-4)^2

Then, we factorize  the left hand side of the equation and our equation

(x - 4)^2   =    -3 +  (-4)^2

The we simplify the right-hand side of the equation

(x - 4)^2   =  -3 +  16

(x - 4)^2   =  13

Hello,
Answer B

x²-8x+3=0
==>x²-2*4*x+16-13=0
==>(x-4)²=13

A pyramid is placed inside a prism as shown. The pyramid has the same base area, B, as the prism but half the height, h, of the prism. Which expression gives the volume of the pyramid?Its not v=1/3*b*h

a.v=2/3bh
b. v=1/4bh
c.v=2bh
d.v=1/6bh

Answers

Answer: D) V= 1/6 bh

Step-by-step explanation:

Since according to the given question,  A pyramid is placed inside a prism.

And, The pyramid has the same base area, b, as the prism but half the height, h, of the prism.

Therefore, base area of the pyramid = b

Height of the pyramid = h/2

Since, The volume of the pyramid,

V = 1/3 × base ares × height

V= 1/3 × b × h/2

V= 1/6 bh

Thus the required volume = 1/6 bh cube unit.

Therefore Option D is correct.



Answer:

V = 1/6 BH

Im also taking this class on edmentum

Step-by-step explanation:

the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6

Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -54, 27, negative 27 divided by 2, ...
Can someone help with this?

Answers

As you keep multiplying by -1/2, the absolute value of the next number in the sequence decreases.  As a result, the sequence converges, with limit 0 (as the lowest value in the range of absolute value is 0).

A horses body temperature T, is considered to be normal if it is within at least 0.9 degrees Fahrenheit of 99.9 degrees Fahrenheit. Find the range of normal body temperatures for a horse

Answers

99.9+0.9=100.8 degrees fahrenheit
99.9-0.9+99 degrees fahrenheit

The temperature can be between 99 and 100.8 degrees Fahrenheit.
100.8-99=1.8degrees (range)

99≤T≥100.8

HELPPSKSKSJDJJSJSnsnsks

Answers

Answer:

The first and 3rd are functions, but the second and fourth are not functions.

Step-by-step explanation:

To see if something is a function, use the vertical line test. If there are multiple y coordinates for a singular point for x, it is not a function.