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2 years ago

11

Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should t

he length of the third side be). Write the inequalities for each case. 8 and 13

1 answer:

Paraphin [41]2 years ago

6 0

The triangle inequality tells you the third side will be between the difference and sum of the other two sides.

5 < third side < 21

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THE GREATEST PRODUCT

Alex17521 [72]

Answer:

<em>7*6543=45801</em>

Step-by-step explanation:

We have the digits 34567 and must arrange them into a product with the largest possible value.

It's clear that we must place the largest digits to the left, so they represent larger numbers to multiply.

Let's try with:

7654*3=22962

765*43=32895

76*543=41268

7*6543=45801

This last combination definitely produces the largest product

Answer: 7*6543=45801

5 0

2 years ago

Monique's son just turned 2 years old and is 34 inches tall. Monique heard that the average boy will grow approximately 2 5/8 in

tatuchka [14]

Answer:

The equation representing how old Monique son is $\mathbf{a = 2 + \dfrac{8}{21}(q-34)}$

Step-by-step explanation:

From the given information:

A linear function can be used to represent the constant growth rate of Monique Son.

i.e.

$q(t) = \hat q \times t + q_o$

where;

$q_o$ = initial height of Monique's son

$\hat q$ = growth rate (in)

t = time

So, the average boy grows approximately 2 5/8 inches in a year.

i.e.

$\hat q = 2 \dfrac{5}{8} \ in/yr$

$\hat q = \dfrac{21}{8} \ in/yr$

Then; from the equation $q(t) = \hat q \times t + q_o$

$34 = \dfrac{21}{8} \times 0 + q_o$

$q_o = 34\ inches$

The height of the son as a function of the age can now be expressed as:

$q(t) = \dfrac{21}{8} \times t + 34$

Then:

Making t the subject;

$q - 34 = \dfrac{21}{8} \times t$

$t = \dfrac{8}{21}(q-34)$

and the age of the son i.e. ( a (in years)) is:

a = 2 + t

So;

$\mathbf{a = 2 + \dfrac{8}{21}(q-34)}$

SO;

if q (growth rate) = 50 inches tall

Then;

$\mathbf{a = 2 + \dfrac{8}{21}(50-34)}$

$\mathbf{a = 2 + \dfrac{8}{21}(16)}$

a = 2 + 6.095

a = 8.095 years

a ≅ 8 years

i.e.

Monique son will be 8 years at the time Monique is 50 inches tall.

8 0

1 year ago

What is the value of the expression when y = 24? **Twelve less that eight times y.

vfiekz [6]

answer: 180

Step-by-step explanation:

8y-12

plug in the variable

8 (24) - 12

192-12

180

6 0

2 years ago

Train revived a raise of $80 per week. If he was making $500 per week before the raise, what is the percent change in his earnin

kotegsom [21]

Answer:

Train got a raise of 16%

Step-by-step explanation:

To find this, start by taking the equation for percent change

(New - Old)/Old * 100 = % Change

Now plug in known values

(580 - 500)/(500) * 100 = % change

80/500 * 100 = % change

.16 * 100 = % change

16 = % change

3 0

2 years ago

!!!!! PLEASE PLEASE HELP ME !!!!! IS ANYONE SEEING MY QUESTIONS??

iVinArrow [24]

<u>Answer</u>:

The correct option is C : x² + (y +3)² = 9 .

<u>Step-by-step explanation:</u>

We know that the general equation for a circle is ( x - h )² + ( y -k )²= r², Where,

r is the radius.
(h , k) is the center.

Let the point be ( 0 , -y) , since it is on negative y axis . And the circle passes through the origin that is (0,0) . Hence the center will be 3 units down the y - axis that is ( 0 , -3) .Hence h will be 0 and y = (-3) .

Now its given that the radius of the circle is 3. So on substituting r = 3 , in standard form we have ,

⇒ ( x -h )² + ( y - k )²= r²

⇒ ( x - 0)² + { y - (-3) }² = 3²

⇒ x² + ( y + 3) ² = 3²

⇒ x² + ( y + 3)² = 9

<h3><u>Hence the correct option is C [ x² + ( y+3)² = 9 ] .</u></h3>

• Note that I have attached the graph of the same .

7 0

2 years ago