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zubka84 [21]
3 years ago
12

The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth, what is the smallest possible l

ength of one of the two congruent sides?
Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
8 0

Answer:

The smallest possible length would be 8.5 cm.

Step-by-step explanation:

Since, an acute isosceles triangle having two congruent sides with three acute interior angles,

Given,

The longest side of an acute isosceles triangle is 12 centimeters,

Let x be the side length of the each of the congruent sides,

So, by the property of acute isosceles triangle,

x^2+x^2\geq (12)^2

2x^2\geq 144

x^2\geq 72

\implies x\geq \sqrt{72}=8.48528137424\approx 8.5

Hence, the smallest possible length of one of the two congruent sides is 8.5 cm

liraira [26]3 years ago
6 0
12/sqrt (2)=6/sqrt (2), 8.484cm. Round it up to 8.5cm
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Can I have the slope and y intercept for 2y - 4x - 10 =0
sergejj [24]

Answer:

Slope = 2, Y-intercept = (0, 5)

Step-by-step explanation:

First, isolate y by moving all other terms to the other side of the equation.

2y - 4x - 10 = 0 ⇒ 2y = 4x + 10 ⇒ y = 2x + 5

The coefficient next to the x tells you the slope and the constant on the end tells you the y-intercept.

Therefore, the slope is 2 and the y-intercept is (0, 5).

4 0
2 years ago
Read 2 more answers
Write the vector YZ in component form.<br> Y(-9, 2) Z(3, -4)
Temka [501]

Answer:

\displaystyle \overrightarrow{YZ} = \

General Formulas and Concepts:
<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)

<u>Pre-Calculus</u>

Vectors

  • Component Form: \displaystyle \overrightarrow{XY} = \

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

Point Y(-9, 2)

Point Z(3, -4)

<u>Step 2: Find</u>

  1. Substitute in points [Vector Component Form]:                                        \displaystyle \overrightarrow{YZ} = \
  2. [Order of Operations] Evaluate:                                                                  \displaystyle \overrightarrow{YZ} = \
6 0
2 years ago
Is it possible to determine the form factor without opening the case?
bija089 [108]

Answer:

Sometimes the form factor can be determined without opening the case and the form factor can be predicted on the basis of the shape of the case.

But, since the mother board is must to determine a form factor, you have to open the case before you can determine the form factor. Unless the manufacturer tags the details of the motherboard outside the case which is very rare to see. Also most cases easily show the type but that is not enough to determine the form factor.



7 0
2 years ago
aneesha travels at a rate of 50 miles per hour .Morris is taveling 3 feet per second less then aneesha .which is the best estima
Eddi Din [679]
3 feet per second is equivalent to 2.04545 miles per hour
7 0
3 years ago
The sum of two numbers is 24. The difference is 15. What are the two numbers?
tatiyna
The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39      ⇒x=39/2=19.5

  x+y=24
-(x-y=15)
-------------------
   2y=9    ⇒y=9/2=4.5

The numbers are 19.5 and 4.5

To check
19.5+4.5=24
19.5-4.5=15
3 0
3 years ago
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