Mathematics, 19.03.2021 16:00 amandamac7339

Determine the truth value of the statement and its converse. If a figure is a square, then it has four sides.
A. true, true
B. true, false
C. false, true
D. false, false

Answers: 2

Show answers

Answers

Answer from: Quest

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is $x^2$ .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒ $x^2=1/2\times ea\times ad$

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

= $(\frac{2\times -7+1\times -10}{2+1},\frac{2\times 2+1\times 8}{2+1})$

= $(\frac{-24}{3}, \frac{12}{3})$

=(-8, 4)

thus the coordinates of a are (-8,4)

Answer from: Quest

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.

Answer from: Quest

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem, $a^2+b^2=c^2$

in this case, a=b since isocolese triangle so we get

$2a^2=c^2$ or $a=\frac{c}{\sqrt{2}}$

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

$(x-x_a)^2+(y-y_a)=(\frac{c}{\sqrt{2}})^2$ and

$(x-x_b)^2+(y-y_b)^2=(\frac{c}{\sqrt{2}})^2$ intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

Answer from: Quest

you have 6 equal triangles, find the area of one of them (b*h/2) and multiply by 6

(8*4: 2)*6 =

32 cm² is your answer

Another question on Mathematics

Mathematics, 21.06.2019 15:30

Find the gradient of f(x,y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

Answers: 1

Answer

Mathematics, 21.06.2019 16:20

Aclass consists of 55% boys and 45% girls. it is observed that 25% of the class are boys and scored an a on the test, and 35% of the class are girls and scored an a on the test. if a student is chosen at random and is found to be a girl, the probability that the student scored an ais

Answers: 2

Answer

Mathematics, 21.06.2019 19:00

The fraction 7/9 is equivalent to a percent that is greater than 100%. truefalse

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. his sister states that the expression should be x + x + 0.5x + y + y – 2. who is correct? explain.

Answers: 2

Answer

You know the right answer?

Determine the truth value of the statement and its converse. If a figure is a square, then it has f...

Questions