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3 years ago

Which equations illustrate the commutative property of multiplication?

Mathematics

1 answer:

djyliett [7]3 years ago

6 0

The correct answer is ''A'' 3.4 = 3.4.

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Find the surface area of a square pyramid with base edges of 5 cm and a slant height of 3 cm.

ch4aika [34]

Answer:

Surface area of square pyramid = $55cm^{2}$

Step-by-step explanation:

Let, b is the base edges and s is the slant height

According to given condition:

b = 5 cm

s = 3 cm

Find out:

Surface area of square pyramid = ?

Formula:

Surface area of square pyramid = $b^{2} + 2bs$

Solution:

Surface area of square pyramid = $b^{2} + 2bs$

Surface area of square pyramid = $5^{2} + 2(5)(3)$

Surface area of square pyramid = $(25+ 30 ) cm^{2}$

Surface area of square pyramid = $55cm^{2}$

3 0

3 years ago

Presley is deciding where to purchase cat food for his pet. He is considering PetCo and Chewy. PetCo currently has a sale on Fan

navik [9.2K]

PetCo:

t = 0.52c + 41.99

Chewy:

t = 0.64c + 36.98

3 0

3 years ago

What are the solutions of x^2-2x+5=0

sweet [91]

The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

Solution:

Given, equation is $x^{2}-2 x+5=0$

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ --- (1)

Let us determine the nature of roots:

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0

3 years ago

Kayleigh has 3 1/2 gallons of water. She wants to fill up 1/3 cups. How many cups can she fill and how much is left over?

mariarad [96]

Answer:

10.5

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Is 1,4,9 and 16 a geometric sequence

Umnica [9.8K]

No because 4/1 does not equal to 9/4 or 16/9

5 0

3 years ago