Summer looked at the formula for the Pythagorean Theorem, a2 + b2 = c2, she said that it didn’t matter which sides of a right triangle were a, b, and c. Is she correct?

QUESTION POSTED AT 18/01/2020 - 07:16 AM

Answered by admin AT 18/01/2020 - 07:16 AM

She is not correct because mixing the legs won't affect but mixing them with the hypotenuse would affect a lot. 
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Related questions

Which is the correct description of the transformation of triangle JKL to triangle JꞌKꞌLꞌ? A.a 90° clockwise rotation around point A of pre-image JKL B.a 90° counterclockwise rotation around point A of pre-image JKL C.a 180° clockwise rotation around point A of pre-image JKL D.a reflection across point A of pre-image JKL

"A 90° clockwise rotation around point A of pre-image JKL" is the one among the following choices given in the question that is the correct description of the transformation of triangle JKL to triangle JꞌKꞌLꞌ. The correct option among all the options that are given in the question is the first option or option "A".

ANSWERED AT 16/02/2020 - 06:45 PM


QUESTION POSTED AT 16/02/2020 - 06:45 PM

Which property states that adding zero to a quantity does not change the quantity? A. Associative B. Additive identity C. Commutative D. Reflexive ...?

The best and most correct answer among the choices provided by your question is the fourth choice or letter D.

Reflexive is the property states that adding zero to a quantity does not change the quantity.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

ANSWERED AT 16/02/2020 - 06:43 PM


QUESTION POSTED AT 16/02/2020 - 06:43 PM

Which of the following represents the set of possible rational roots for the polynomial shown below? 2x³+5x²-8x-10=0 a. {±2/5, ±1/2, ±1, ±2, ±2/5, ±1/5, ±1/10} b. {±1/2, ±1, ±2, ±5/2, ±5, ±10} c. {±1, ±2, ±4, ±5, ±10, ±20} d. {1/2, 1, 2, 5/2, 4, 5, 10, 20} ...?

Answer:

Option b is correct

Step-by-step explanation:

Given the polynomial

2x^3+5x^2-8x-10=0

we have to find the set of possible rational roots for the polynomial.

Rational root theorem states that if P(x)  has any rational roots then they must be of form

\pm{\frac{\text{Factor of }a_0}{\text{factors of }a_n}

Here P(x)=2x^3+5x^2-8x-10

Factors of 10=1, 2, 5, 10

Factors of 2=1, 2

Possible rational roots are

\{\pm1, \pm\frac{1}{2}, \pm2, \pm\frac{5}{1}, \pm\frac{5}{2}, \pm 10\}

Option b is correct

ANSWERED AT 16/02/2020 - 06:41 PM


QUESTION POSTED AT 16/02/2020 - 06:41 PM

In 2008, the price of a gallon of unleaded gasoline was $4.02. In 1990, it was only $1.37 per gallon. What is the increase expressed as a percent change? Round to the nearest percent. A. 66% B. 393% C. 193% D. 134% please i need help' ...?

First get the difference between the 2008 price and 1990 which is $4.02-$1.37= $2.65. Then the difference you've got which is $2.65, divide it to the current market price which is $4.02 to get the how many percentage it increased since then, $2.65/$4.02= 0.65920398 then multiply it to 100. It would be 65.92 or 66% if rounded off to whole number.

ANSWERED AT 16/02/2020 - 06:40 PM


QUESTION POSTED AT 16/02/2020 - 06:40 PM

True or false. The sine of an angle in a right triangle is equal to the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse. ...?

Answer:  The given statement is FALSE.

Step-by-step explanation:  We are given to check whether he following statement is true or false :

"The sine of an angle in a right triangle is equal to the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse. "

Let us consider the right-angled triangle ABC as shown in the attached figure below.

With respect to acute angle C, we can see that

perpendicular, p = AB

base, b = BC

and

hypotenuse, h = AC.

We know that

sine of an angle in a right-angled triangle is equal to the ratio of the perpendicular to the base.

So, we must have

\sin \angle C=\dfrac{p}{h}\\\\\\\Rightarrow \sin \angle C=\dfrac{AB}{AC}.

Since AB is the opposite side to angle C, not adjacent, therefore

sine of any angle in a right-angled triangle is the ratio of the length of the OPPOSITE SIDE to length of the hypotenuse.

Thus, the given statement is FALSE.

ANSWERED AT 16/02/2020 - 06:38 PM


QUESTION POSTED AT 16/02/2020 - 06:38 PM

Which operation should you perform first when you simplify 175 - (8 + 45 / 3) * 7? A. Addition B. Division C. Multiplication D. Subtraction PLEASE ANSWER THIS IM IN A HURRY

Answer:

B. Division

Step-by-step explanation:

We have been given an expression 175-(8+\frac{45}{3})*7. We are asked to determine which operation will we use first to simplify our given expression.

Using order of operations PEMDAS, we will remove parenthesis first. To remove parenthesis, we need to simplify \frac{45}{3}.

Therefore, we will use division first to simplify our given expression.

ANSWERED AT 16/02/2020 - 06:17 PM


QUESTION POSTED AT 16/02/2020 - 06:17 PM

Which of the four triangles was formed by a translation of triangle XYZ? A B C D

Answer:

Options A & B

Step-by-step explanation:

Given is a triangle XYZ in the I quadrant.  There are four more triangles A, B,C and D given.

We have to find that which one is the translation of XYZ

We know that by translation we must get a congruent triangle as XYZ.

By simply seeing we can say that C and D are not congruent with XYZ.

So these two are eliminated

Remaining are A and B.

Both A and B are right

This is because XYZ is transformed into B by shifting 7 units horizontal to the left.

A is the reflection of B about x=-5.5

Thus both A and B are right

ANSWERED AT 16/02/2020 - 06:03 PM


QUESTION POSTED AT 16/02/2020 - 06:03 PM

Lottie needs a driver. Drive A is offering his services for an initial $200 in addition to $80 per hour. Driver B is offering this service for an intal $230 and an addition of $70 per hour When will the two drivers charge the same amount

200 + 80h = 230 + 70h
80h - 70h = 230 - 200
10h = 30
h = 30/10
h = 3...they will charge the same rate at 3 hrs

ANSWERED AT 16/02/2020 - 06:02 PM


QUESTION POSTED AT 16/02/2020 - 06:02 PM

Fill in the blank: To find the values of p, q, r and s, you should start by finding all factor ___ of the leading coefficiant and constant term. Then try them to determine which ones give you the correct product ...?

I can be wrong, but I think that the answer is: To find the values of p, q, r and s, you should start by finding all factor pairs of the leading coefficiant and constant term. 

ANSWERED AT 16/02/2020 - 05:35 PM


QUESTION POSTED AT 16/02/2020 - 05:35 PM

determine whether multiplication by A is one to one linear transformation a)A=[ 1 -1 2 0 3 -4] b) A=[ 1 2 3 -1 0 4] ...?

To know if the given matrix is one to one linear transformation, Row reduce the Matrix A and if it has free variables in it it means it is not a one to one linear transformation.

So, we take A and apply Row Operation and get the following matrix
 
1 0 0
0 1 0
0 0 0

As, it has free variables in it, it means it is not a one to one linear transformation.

Hope it helps :)

ANSWERED AT 16/02/2020 - 05:34 PM


QUESTION POSTED AT 16/02/2020 - 05:34 PM

How many triangles are formed by the diagonal from one vertex in quadrilateral, hexagon, octagon, and decagon??! ...?

The following are the details given for your answer

two for quadrilateral
six for hexagon
 eight for octagon
 and ten for decagon.

ANSWERED AT 16/02/2020 - 05:34 PM


QUESTION POSTED AT 16/02/2020 - 05:34 PM

Which of the following are equivalent to the function y = 4cos x - 2? Check all that apply. A. y = -4cos x + 2 B. y = 4sin(x +π/2 ) - 2 C. y = 4sin(x - π/2) - 2 D. y = 4cos(-x) - 2 ...?

The answer is 
D. y = 4cos(-x) - 2
proof
cosine is an even function, it means cos(-x) = cosx
so 
y = 4cos(-x) - 2 = y = 4cos(x) - 2

ANSWERED AT 16/02/2020 - 05:32 PM


QUESTION POSTED AT 16/02/2020 - 05:32 PM

The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side. Find the lengths of the medians of the triangle with vertices at A=(0,0), B=(6,0), C=(4,4) ...?

Answer:

\sqrt{29} , \sqrt{20} , \sqrt{17}

Step-by-step explanation:

Consider ΔABC with vertices A\left ( 0,0 \right )\,,\,B\left ( 6,0 \right )\,,\,C\left ( 4,4 \right ) such that P , Q , R are midpoints of sides BC , AC and AB .

We know that midpoint of line segment joining points \left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is equal to \left ( \frac{x_1+x_2}{2}\,,\,\frac{y_1+y_2}{2} \right )

Midpoints P , Q , R :

P\left ( \frac{6+4}{2}\,,\,\frac{0+4}{2} \right )=P\left ( 5\,,\,2 \right )\\Q\left ( \frac{0+4}{2}\,,\,\frac{0+4}{2} \right )=Q\left ( 2\,,\,2 \right )\\R\left ( \frac{6+0}{2}\,,\,\frac{0+0}{2} \right )=R\left ( 3\,,\,0 \right )

We know that distance between points \left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is given by \sqrt{\left ( x_2-x_1 \right )^2+\left ( y_2-y_1 \right )^2}

Length of AP :

AP = \sqrt{\left ( 5-0 \right )^2+\left ( 2-0\right )^2}=\sqrt{25+4}=\sqrt{29}

Length of BQ :

BQ = \sqrt{\left (2-6 \right )^2+\left ( 2-0 \right )^2}=\sqrt{16+4}=\sqrt{20}

Length of CR :

\sqrt{\left (3-4\right )^2+\left ( 0-4 \right )^2}=\sqrt{1+16}=\sqrt{17}

ANSWERED AT 16/02/2020 - 05:32 PM


QUESTION POSTED AT 16/02/2020 - 05:32 PM

Consider the planes 2x + 1y + 5z = 1 and 2x + 5z = 0. (A) Find the unique point P on the y-axis which is on both planes. ( ? , ? , ? ) (B) Find a unit vector u with positive first coordinate that is parallel to both planes. ? I + ? J + ? K (C) Use the vectors found in parts (A) and (B) to find a vector equation for the line of intersection of the two planes,r(t) = ? I + ? J + ? K

B is easy, given 2x + 1y + 5z = 1 and 2x + 5z = 0, normal vectors of those planes are (2,1,5) and (2,0,5), cross product will give the parallel vector, divide by its length so it gives the unit vector

ANSWERED AT 16/02/2020 - 05:29 PM


QUESTION POSTED AT 16/02/2020 - 05:29 PM

at her job, mary works 4 hours on monday, 3 hours on wednesday, and 6 hours on saturday. her boss adds a $10 bonus to her paycheck, which then totals $120.50. what is mary's hourly pay? a. $8.50 b. $9.27 c. $5.24 d. $8.05

She worked 4+3+6 hours = 13 hoursso 13x+10 = 120.50
13x=110.50
x=8.5
so she makes $8.50 an hour which is A.

ANSWERED AT 16/02/2020 - 05:29 PM


QUESTION POSTED AT 16/02/2020 - 05:29 PM

The mean for average temperature in Buffalo ,New york , is 47.5°. The temperture fluctuates 23.5° above and below the mean temperture . If t=1 present January ,the phase shift of the sine function is 4 a) Write the funtion for the average monthly tempperature in Buffalo b) According to your modle ,what is the average tenperature in March ? c) According to your modle ,what is the average tenperature in August ?

1) According to the statement, the Temperature will be modeled with a sine function.

2) a genaral sin function is of the type: Asin(mt + p) + M

where:

t is the variable

A is the amplitud: the fluction fluctuate +/- A units over the mean value. A = 23.5°

M is the mean value. M = 47.5°

m is the frequency, which we need to be 2π/12 (the complete cycle is 12 months) = m = π/6

p is the phase shift, which is 4. p = 4

Then:

a) the model or function is T(t) = 47.5° + 23.5* sin [ (π/6) t + 4]

b) T in march => t = 3

T(3) = 47.5° + 23.5° sin [ (π/6)*3 + 4] = 32.1 °


c) T in august => t = 8

T(8) = 47.5° + 23.5° sin [ (π/6)*8 + 4] = 69.7 °





ANSWERED AT 16/02/2020 - 05:24 PM


QUESTION POSTED AT 16/02/2020 - 05:24 PM

A chemistry student needs to make 60 liters of a 30% alcohol solution. He has a 20% alcohol solution and a 40% alcohol solution in the lab. How many liters of each strength does he need to mix together *The system of equations I did was: a+b=60 & .2a+.4b=18. I may be wrong but i seriously need help

Hi i am sorry i am not sure what to do here i mainly answer questions in biology and maths so if u have any questions related to that subject u can ask me but chemsitry i am not really good at sorry xx

ANSWERED AT 16/02/2020 - 04:20 PM


QUESTION POSTED AT 16/02/2020 - 04:20 PM

If anyone can check my work for me that would be greatly appreciated I'm having trouble. Evaluate the expression foe the given value of the variable. |-4b-8|+|-1-b^2|+2b^3 ; b=-2 I got 1 for my answer -4(-2)-8-1+2^2+2(-2) 8-8-1+2^2-4 -1+2^2-4 1

The answer is -13. Solution: = |-4b - 8| + |-1 - b^2| + 2b^3 = |-4(-2) - 8| + |-1 - -2^2| + 2(-2)^3 = |8-8| + |-1+4| + 2(-8) = |0| + |3| + (-16) = -13

ANSWERED AT 16/02/2020 - 04:17 PM


QUESTION POSTED AT 16/02/2020 - 04:17 PM

Two similar prisms have heights 4 cm and 10 cm. What is the ratio of their surface areas? A) 2:5 B) 4:25 C) 4:10 D) 8:125

H 1 : H 2 = 4 : 10
H 1 = 2/5 H 2
and also for the base: L 1 = 2/5 L 2 and W 1 = 2/5 L 2
 A 1 = 2 L 1 x W 1 + 2 L 1 x H 1 + 2 W 1 x H 1
A 2 = 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H 2
A 1 / A 2 = 4/25 *( 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 H 2 ) /
                 / ( 2 L 2 x W 2 + 2 L 2 x H 2 + 2 W 2 x H  2 ) =
= 4/5
A 1 : A 2 = 4 : 25
Answer:  B ) 4 : 25

ANSWERED AT 16/02/2020 - 04:08 PM


QUESTION POSTED AT 16/02/2020 - 04:08 PM

A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a foot, while the remaining two sides will use standard fencing selling for $2 a foot. What are the dimensions of the rectangular plot of greatest area that can be fenced in at a cost of $6000?

Ok lets do this like this:
Let x = length Let y = width
From this we know that area A=xy.
Now, perimeter is P=2x+2y
cost would be 3(2x)+2(2y) or 6x +4y=$6,000.00.
From this cost equation we solve for x in terms of y 6x=6000-4y x=1000-(4y)/6.
now lets substitute this value in the area equation A=xy. A=(1000-4y/6)y A=1000y−4y2/6=1000y−2y2/3 differentiate and set to equal zero (0) 1000−(−4y/3)=0 Solve for y and obtain y=750ft

ANSWERED AT 16/02/2020 - 04:07 PM


QUESTION POSTED AT 16/02/2020 - 04:07 PM

A ferris wheel is 35 meters in diameter and boarded at ground level. The wheel makes one full rotation every 8 minutes, and at time t = 0 you are at the 9 o'clock position and descending. Let f(t) denote your height (in meters) above ground at t minutes. Find a formula for f(t).

F(t) = -17.5sin((t/4)*pi) + 17.5
Because the ferris wheel is a circle you can use sine and cosine. As we are descending and in the middle of the descent the use of negative sine makes the most sense.
Period = 2pi.
Our period is 8 minutes.
8 minutes*w = 2pi
w = (t/4) * pi.
The 17.5 at the end is to take into account that we are 17.5 meteres up in the air at the start.

ANSWERED AT 16/02/2020 - 04:07 PM


QUESTION POSTED AT 16/02/2020 - 04:07 PM

Which statement is false? Explain. A. An equiangular polygon has all angles congruent. B. A regular polygon is both equilateral and equiangular. C. An equilateral polygon has all sides congruent. D. A polygon is concave if no diagonal contains points outside the polygon

The false option is D) : "A polygon is concave if no diagonal contains points outside the polygon"  because polygon is only concave if diagonal contains points outside the polygon (its has to be convex instead of concave)

ANSWERED AT 16/02/2020 - 04:06 PM


QUESTION POSTED AT 16/02/2020 - 04:06 PM

AWNSER FOR 99 POINTS!What is the volume of the pyramid? A. 2470 cm3 B. 4940 cm3 C. 7410 cm3 D. 14,820 cm3

Volume of pyramid = 1/3 x base x height so you could substitute the numbers in . i dont know the numbers so


ANSWERED AT 16/02/2020 - 03:53 PM


QUESTION POSTED AT 16/02/2020 - 03:53 PM

Look at the linear equation below. 2x - 3y = -13 Which pair of numbers is a solution to the equation? Select one: (-5, 1) (5, 1) (5, -1) (-5, -1)

The answer is (-5,1) because 2(-5)-3(1)=-13 :)

ANSWERED AT 16/02/2020 - 03:43 PM


QUESTION POSTED AT 16/02/2020 - 03:43 PM