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3 years ago

True or false: equilateral triangles can be classified as acute right or obtuse

Mathematics

2 answers:

yarga [219]3 years ago

7 0

Answer:

it is only acute

Step-by-step explanation:

False: equilateral triangle has 3 equal sides and 3 equal angles measure 60 degrees

sweet-ann [11.9K]3 years ago

7 0

Answer:

True

Step-by-step explanation:

In an equilateral triangle, all sides are equal in length.

That means that all the angles of the triangle will be congruent.

Since a triangle has 3 angles that always add up to 180 degrees, each angle is 60 degrees.

(180/3=60)

A right triangle must have one 90 degree angle.

An obtuse triangle must have an angle that is greater than 90 degrees.

An acute triangle's angles must all measure 89 degrees or less.

Hence, the given statement is true.

Equilateral triangles can be classified as acute.

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AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle

Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1339.9}{40} = 33.5$

$S.D = 11$ (given)

n = 40

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)$

6 0

3 years ago

Factorise the following algebraic expressions completely a. y4 −81 . x2 +10x +24

Ludmilka [50]

$y^4-81=(y^2-9)(y^2+9)=(y-3)(y+3)(y^2+9)\\\\
x^2 +10x +24 =x^2+10x+25-1=(x+5)^2-1=(x+5-1)(x+5+1)=(x+4)(x+6)$

3 0

3 years ago

The cost of a stove to a store owner was $500, and she sold the stove for $1080. What was her percent of profit based on cost?

Juliette [100K]

Answer:

116%

Step-by-step explanation:

Cost Price (C. P.) = $500

Selling Price (S. P.) = $1080

Profit = SP - CP = $1080 - $500 = $580

Profit percent

$= \frac{Profit}{CP} \times 100 \\ \\ = \frac{580}{500} \times 100 \\ \\ = \frac{580}{5} \\ \\ = 116 \%$

3 0

3 years ago

What is the maximum number of possible extreme values for the function, F(x)=x^4+x^3-7x^2-x+6?

Arturiano [62]

Coming from a 6th grader but I hope this is right!

Polynomials of degree greater than 2 can have more than one max or min value. The largest possible number of minimum or maximum points is one less than the degree of the polynomial. The following examples illustrate several possibilities.

since the degree is 4

number of possible extreme values = 4 -1 = 3

3 0

3 years ago

Helppppp how do u do number 1?

VashaNatasha [74]

Only A
And only when x = 1

Nothing else works.

4 0

3 years ago