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rusak2 [61]
2 years ago
7

In an isosceles triangle, the longest side measures c units. The other sides of the triangle measure a units. Which equation can

be used to determine if the triangle is a right triangle?
a squared = c squared
2 a squared = c squared
a Superscript 4 Baseline = c squared
2 a = c
Mathematics
2 answers:
kodGreya [7K]2 years ago
8 0

Answer:

c

Step-by-step explanation:

Ira Lisetskai [31]2 years ago
5 0

Answer:

<em>2a² = c²</em>

Step-by-step explanation:

Right triangles follow the Pythagorean Theorem, <em>a² + b² = c².</em> The hypotenuse <em>(c)</em> must be the longest of the sides. In the given triangle, both legs measure <em>a</em> units. So, <em>a = b.</em> Therefore, we have <em>a² + a² = c²</em> or <em>2a² = c²</em><em>.</em>

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The diagram shows a cube of side length 4 inches. A is a vertex of the cube, while B and C are located on opposite edges of the
Nikolay [14]

Answer:

we will get an isosceles triangle as a result.

Step-by-step explanation:

when the point A is joined to B and C we will get the side AB and AC of equal length.

length of AB and AC could be calculated easily with the help of pythagorean theorem where the base and perpendicular are of length 4in and 1in .

when we will cut a plane including the the points A,B and C we will get a triangle whose sides AB and AC are equal but BC would be of distinct length.

Hence, the resultant figure will be an isosceles triangle.


5 0
2 years ago
Read 2 more answers
Complete the square to solve the equation below x^2 + 10x - 13 = 17
liberstina [14]

Answer:

See below in exact form

or

2.42, -12.42   to the nearest hundredth.

Step-by-step explanation:

x^2 + 10x - 13 = 17

(x + 5)^2 - 25 - 13 = 17

(x + 5)^2 = 17 + 38 = 55

x + 5 = +/- √55

x =  -5 + √55,  -5 - √55.

6 0
2 years ago
Read 2 more answers
Explain why the graphing calculator cannot be used to solve or approximate solutions to all polynomial equations.
Lelu [443]
Let's put it this way:  If you plot a few non-x-intercept points and then draw a curvy line through them,you will not know if you got the x-intercepts even close to being correct. <span>The only way you can be sure of your x-intercepts is to set the quadratic equal to zero and solve. So its a matter of guessing from the pictures. Basicaly said, the calculator won't give you the exact result.</span>
4 0
2 years ago
Read 2 more answers
A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain area who favor m
Dominik [7]

Answer:

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The width of the interval is:

W = 2z\sqrt{\frac{\pi(1-\pi)}{n}}

In this sample:

Two 90% intervals, with different lenghts. So both have the same values for z an \pi

Interval A:

9000 viewers.

So the width is

W_{A} = 2z\sqrt{\frac{\pi(1-\pi)}{9000}}

Interval B:

100 viewers

So the width is

W_{B} = 2z\sqrt{\frac{\pi(1-\pi)}{1000}}

Relationship between the widths:

R = \frac{W_{A}}{W_{B}} = \frac{2z\sqrt{\frac{\pi(1-\pi)}{9000}}}{2z\sqrt{\frac{\pi(1-\pi)}{1000}}} = \frac{\sqrt{1000}}{\sqrt{9000}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3}

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

8 0
2 years ago
Suppose that we want to investigate whether curfews correlate with differences in grades for students in middle school. We selec
Anton [14]

Answer:

Step-by-step explanation:

Hello!

Given the variables

X: Curfew of middle school students (Categorized Yes/No)

Y: Average grade of middle school students. (Categorized: A, B, C, and D)

The objective is to test if there is an association between both variables, you have to conduct a Chi-Square test of independence.

In the null hypothesis, you state that both variables are independent vs. the alternative hypothesis that the variables are dependent.

The hypotheses for this test are:

H₀: Pij= Pi. * P.j i= (1)Yes, (2)No; j= (1)A, (2)B, (3)C, (4)D

H₁: Te variables are not independent.

α: 0.05

X^2= sum\frac{(O_{ij}-E_{ij})^2}{E_{ij}} ~~X_{(r-1)*(c-1)}

Where

Oij is the observed frequency for the i-row and j-column

Eij is the expected frequency for the i-row and j-column

r= number of categories in the rows

c= number of categories in the columns

X^2_{H_0}= 1.4796703

p-value: 0.687

The p-value is greater than the significance level, so the decision is to not reject the null hypothesis. So using a 5% significance level, you can conclude that having a curfew and the average grades of middle schoolers are two independent variables.

3 0
2 years ago
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