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3 years ago

An isosceles triangle always has three interior angles that measure 60° each.

Mathematics

1 answer:

Nataly [62]3 years ago

5 0

Answer:

False

Step-by-step explanation:

The definition given is that of an equilateral triangle, NOT that of an isosceles triangle. An isosceles triangle has <em>at least</em> two angles that are equal by definiton. They need not be 60 degrees. For example, a triangle with angle measures of 140, 20, and 20 is an isosceles triangle because two of the angles are equal. Hope this helped!

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Barney & Noblet customers can choose to purchase a membership for $25 per year Members receive 10% off all store purchases

Law Incorporation [45]

Answer:

$70
y = 25 + 0.9x
$250

Step-by-step explanation:

1. 10% of $50 is $5, so the purchases would come to $50 -5 = $45. Added to the $25 membership fee, the total cost for the year would be

$45 +25 = $70

2. The member pays $25 even if no purchases are made. Then any purchases are 100% - 10% = 90% of the marked price. So, the total is ...

y = 25 + 0.90x

3. $25 is 10% of $250, so that is the amount the member would have to purchase to break even on cost.

If you like, you can compare the cost without the membership (x) to the cost with the membership (25+.9x) and see where those costs are equal.

x = 25 +0.9x . . . . . x is the spending level at which there is no advantage

0.1x = 25 . . . . . . . . subtract 0.9x

25/0.1 = x = 250 . . . divide by 0.1

4 0

3 years ago

I have another question I'm struggling with. How do I solve to find the missing angle?

snow_lady [41]

Answer:

$23465459544 + 44492711 = 597595855122256.56114163174112113 \leqslant \leqslant \geqslant yhy \times \frac{?}{?}kwwkjuujsjkoodji \beta \pi \beta \cos(2216 {59 \times \tim3.5es - = 6 \\ \\ 53 \times }^{2} )$

5 0

3 years ago

Use the rational zeroes theorem to state all the possible zeroes of the following polynomial:

Mkey [24]

Answer:

All the possible zeroes of the polynomial: f(x) = $3x^{6} + 4x^{3} - 2x^{2} +4$ are ±1 , ±2 , ±4 , ± $\frac{1}{3}$ , ± $\frac{2}{3}$ , ± $\frac{4}{3}$ by using rational zeroes theorem.

Step-by-step explanation:

Rational zeroes theorem gives the possible roots of polynomial f(x) by taking ratio of p and q where p is a factor of constant term and q is a factor of the leading coefficient.

The polynomial f(x) = $3x^{6} + 4x^{3} - 2x^{2} +4$

Find all factors (p) of the constant term.

Here we are looking for the factors of 4, which are:

±1 , ±2 and ±4

Now find all factors (q) of the coefficient of the leading term

we are looking for the factors of 3, which are:

±1 and ±3

List all possible combinations of ± $\frac{p}{q}$ as the possible zeros of the polynomial.

Thus, we have ±1 , ±2 , ±4 , ± $\frac{1}{3}$ , ± $\frac{2}{3}$ , ± $\frac{4}{3}$ as the possible zeros of the polynomial

Simplify the list to remove and repeated elements.

All the possible zeroes of the polynomial: f(x) = $3x^{6} + 4x^{3} - 2x^{2} +4$ are ±1 , ±2 , ±4 , ± $\frac{1}{3}$ , ± $\frac{2}{3}$ , ± $\frac{4}{3}$

Learn more about Rational zeroes theorem here -https://brainly.ph/question/24649641

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7 0

2 years ago

After a ham is cured it may be smoked to add flavor or to ensure it lasts longer. Typical grocery-store hams are smoked for a sh

Elza [17]

Answer:

107

Step-by-step explanation:

Given that after a ham is cured it may be smoked to add flavor or to ensure it lasts longer.

Let X be the smoking time . Then X is N(mu, 8)

a) The sample is drawn at random

b) The sample represents the population

c) Sample size is sufficient to represent the population

b)For 99% conf interval z critical is taken since population std dev is given

Z critical = 2.58

Hence confi interval = $(\mu+/- 2.58*\frac{\sigma}{\sqrt{n} } \\=(\mu +/- 2.58\frac{8}{6} )\\= (\mu -3.44, \mu+3.44)$

c) As sample sizes are large and samples are randomly drawn, we can be 99% confident that sample mean falls within this interval

d) If margin of error is only 2, then we must have

$2.58*\frac{8}{\sqrt{n} } =2\\10.32=\sqrt{n} \\n=106.50\\n~107$

3 0

3 years ago

What is pi divided by 2/3?

klasskru [66]

Given:
pi is equal to 3.14

3.14 ÷ 2/3

Rules in dividing fractions.
3.14 is the 1st fraction. It has a denominator of 1. 3.14/1
2/3 is the 2nd fraction

1) get the reciprocal of the 2nd fraction.
2/3 ⇒ 3/2

2) multiply the 1st fraction to the reciprocal of the 2nd fraction
3.14 * 3/2 = (3.14*3) / 2 = 9.42 / 2 = 4.71

Pi divided by 2/3 is 4.71

4 0

3 years ago

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