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3 years ago

Please help thank you.

Mathematics

1 answer:

schepotkina [342]3 years ago

5 0

A parallelogram is always a rectangle. (false)
A square is always a rhombus. (true)
A rectangle is always a square. (false)

answer
statement 2 only
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answer A. it is a rhombus

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6x - 9 = 2x + 39
4x = 48
x = 12

answer
c. x = 12

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What is the first term, common difference, and 16th term

strojnjashka [21]

Answer:

The 1st term is -67

Step-by-step explanation:

I. When Sn = $\frac{n}{2}$ ( $a_{1} + a_{n}$ )

If Sn = 124, n = 8 and $a_{n}$ = 98

124 = 8/2(a + 98)

124 = 4(a + 98)

124 = 4a + 392

124 - 392 = 4a

-268/4 = a

-67 = $a_{1}$

Hope that help :D

7 0

3 years ago

Evan went to the park and saw four animals.

dsp73

Answer:

He saw 1 duck and 3 dogs.

Step-by-step explanation:

Given:

Evan went to the park and saw four animals.

Each animal was either a duck or a dog.

He saw a total of 14 legs.

Now, to find the number of each animal he had seen.

Let the number of duck be $x.$

And the number of dog be $y.$

So, total number of animals:

$x+y=4\\y=4-x$

Now, the total number of legs he did see:

As we know the legs of a duck are 2 and a dog are 4.

$2x+4y=14\\2x+4(4-x)=14\\2x+16-4x=14\\-2x+16=14$

Adding both sides by -16 we get:

$-2x=-2$

Dividing both sides by -2 we get:

$x=1$

The number of duck = 1.

Now, putting the value of $x$ in above equation we get:

$y=4-x$

$y=4-1\\y=3.$

The number of dogs = 3.

Therefore, he saw 1 duck and 3 dogs.

4 0

3 years ago

What is the volume of a hemisphere that

ch4aika [34]

Given:

Given that the diameter of the hemisphere is 12.6 cm

The radius of the hemisphere is given by

$r=\frac{d}{2}=\frac{12.6}{2}=6.3$

We need to determine the volume of the hemisphere.

Volume of the hemisphere:

Let us determine the volume of the hemisphere.

The volume of the hemisphere can be determined using the formula,

$V=\frac{2}{3} \pi r^3$

Substituting the values, r = 6.3 and π = 3.14, we have;

$V=\frac{2}{3} (3.14)(6.3)^3$

Simplifying the values, we have;

$V=\frac{2}{3} (3.14)(250.047)$

$V=\frac{1570.29516}{3}$

Dividing, we have;

$V=523.43172$

Rounding off to the nearest tenth, we get;

$V=523.4$

Thus, the volume of the hemisphere is 523.5 cm³

6 0

3 years ago

The population p (in millions) of Italy from 1990 through 2008 can be approximated by the model p=56.8e^o.oo15t , where t repres

dimulka [17.4K]

As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.

Therefore to find the population of Italy in the year 2000 (t = 10 years) substitute t = 10 in the equation and have:

$p = 56.8e^{0.0015*10}\\$