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nika2105 [10]
3 years ago
5

Which situation is best represented by the following equation? 45w + 123.95 753.95

Mathematics
1 answer:
myrzilka [38]3 years ago
7 0

Answer:

w=14

Step-by-step explanation:

753.95-123.95=630

630 divided by 45=14

So w=14

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Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the
ANTONII [103]

Answer:

Length of right-angle  triangle 'a' = 4

b)

<u><em></em></u>sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}<u><em></em></u>

<u><em></em></u>cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}<u><em></em></u>

<u><em></em></u>tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}<u><em></em></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given  b = 3 and hypotenuse c = 5

Given ΔABC  is a right angle triangle

By using pythagoras theorem

        c² = a² + b²

  ⇒ a² = c² - b²

 ⇒  a² = 5²-3²

          =25 - 9

      a² = 16

⇒   a = √16 = 4

The sides of right angle triangle  a = 4 ,b = 3 and c = 5

<u><em>Step(ii):-</em></u>

<u><em></em></u>sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}<u><em></em></u>

<u><em></em></u>cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}<u><em></em></u>

<u><em></em></u>tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}<u><em></em></u>

7 0
3 years ago
The perfect squares between 6 and 31
anygoal [31]
3 × 3 = 9
4 × 4 = 16
5 × 5 = 25

So, the perfect squares between 6 and 31 is :
{9, 16, 25}
7 0
3 years ago
given two angles that measure 50 and 80 and a side that measures 4 feet how many triangles if any can be constucted
Ierofanga [76]

There is only one triangle possible having angle 50, 50, 80.

<h3>What is isosceles triangle?</h3>

An Isosceles Triangle has the following properties:

  • Two sides are congruent to each other.
  • The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.
  • The two angles opposite to the equal sides are congruent to each other.

It is given that, 2 angles of a triangle as:

∠1 = 50°

∠2 = 80°

Now we know the Angle sum property of a triangle that sum all three interior angle in a triangle is 180^{0}.

i.e., ∠1+∠2+∠3= 180^{0}.

So, 50° +80°+ ∠3 = 180^{0}

                       ∠3 =  50°

As two angles of the triangle are equal that means it is a isosceles triangle.

There is no possibility of getting a right angles triangle.

Hence, there is only one triangle possible with these measurements .

Learn more about triangles here:

brainly.com/question/4987857

#SPJ1

3 0
3 years ago
Pls help!!
Elis [28]
I believe the answer is B
7 0
2 years ago
Read 2 more answers
If a rectangle has an area of 2x^2+7x+3 find the perimeter
nikdorinn [45]

Perimeter of a rectangle = 6x + 8

Solution:

Given area of a rectangle = 2x^2+7x+3

Let us first factor the given polynomial.

2x^2+7x+3=2x^2+x+6x+3

                    =(2x^2+x)+(6x+3)

Taking out common terms in the above expression

                    =x(2x+1)+3(2x+1)

Taking out common term 2x+1 in the above expression

                    =(2x+1)(x+3)

2x^2+7x+3=(2x+1)(x+3)

Area of a rectangle = l × b

Therefore, l=2x+1 and b=x+3

Perimeter of a rectangle = 2(l + b)

                                         =2[(2x+1)+(x+3)]

                                         =2(2x+1+x+3)

                                         =2(3x+4)

                                         =6x+8

The answer is same if you take <em>l</em> = x + 3 and <em>b</em> = 2x + 1.

Hence, perimeter of a rectangle = 6x + 8.

7 0
3 years ago
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