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2 years ago

Find the h.c.f of

Mathematics

1 answer:

yuradex [85]2 years ago

3 0

The greatest common factor will be (x² – xy + y²).

<h3>Greatest common factor</h3>

This is a value or expression that can divide the given expressions without leaving a remainder.

Given the following expressions

x^3+^3 and x^2 - xy + y^2

Expand x^3+y^3

x^3+y^3 =(x + y)(x² – xy + y²).

Since (x² – xy + y²) is common to both expression, hence the greatest common factor will be (x² – xy + y²).

Learn more on GCF here: brainly.com/question/902408

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What is the total surface area of this square pyramid?

slamgirl [31]

Answer:

The total surface area of this square pyramid is $297\ mm^{2}$

Step-by-step explanation:

we know that

The surface area of a square pyramid is equal to

$SA=b^{2} +4[\frac{1}{2}(b)(h)]$

we have

$b=9\ mm$ ----> the length side of the square base

$h=12\ mm$ ----> the height of the triangular faces

substitute the values

$SA=9^{2} +4[\frac{1}{2}(9)(12)]=297\ mm^{2}$

4 0

3 years ago

A triangle has one acute angle as the complement of the other. find the third angle

Bogdan [553]

Answer: 90 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. Since a triangle has 180 degrees total, the other angle is 90 degrees

8 0

2 years ago

Read 2 more answers

Susan has purchased a whole life policy with a death benefit of $200,000. Assuming that she dies in 10 years and the average inf

Anika [276]

Answer:

Answer is: $148,809.52

Step-by-step explanation:

Susan has purchased a whole life policy with a death benefit of $200,000.

Assuming that she dies in 10 years.

Rate = 3% or 0.03

Future value after 10 years = $(1+r)^{n}$ = $(1.03)^{10}$ = 1.344

Purchasing power of proceeds = $\frac{200000}{1.344}$ = $148,809.52

5 0

3 years ago

The average expenditure on Valentine's Day was expected to be $100.89 (USA Today, February 13, 2006). Do male and female consume

AfilCa [17]

Answer:

Yes. The male and female consumers differ in the amounts they spend.

Step-by-step explanation:

We can express the null and alternative hypothesis as:

$H_0: \mu_m=\mu_w\\\\H_1: \mu_m\neq\mu_w$

It is assumed a significance level of 0.05.

The standard deviation of the difference of means is calculated as:

$s=\sqrt{\frac{s_m^2}{n_m} +\frac{s_w^2}{n_w} } =\sqrt{\frac{35^2}{40} +\frac{20^2}{30} } =\sqrt{30.625+13.333} =\sqrt{43.958} =6.63$

The test statistic is

$t=\frac{(M_m-M_w)-0}{s}=\frac{135.67-68.64}{6.63}=10.11$

The degrees of freedom are:

$df=n_1+n_2-2=40+30-2=68$

The P-value for t=10.11 is P=0, so it is smaller than the significance level. The null hypothesis is rejected.

We can conclude that male and female consumers differ in the amounts they spend.

5 0

3 years ago

Please help me??????????!!!!!!!!!

zhenek [66]

Multiply by a across the formula

3 0

3 years ago