# 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

QUESTION POSTED 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.

"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

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!

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

**Answer:**

**Option b is correct**

**Step-by-step explanation:**

**Given** the polynomial

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 **

Here

Factors of 10=1, 2, 5, 10

Factors of 2=1, 2

**Possible rational roots are**

**Option b is correct**

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

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

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

**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**

**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

**Answer:**

**B.** Division

**Step-by-step explanation:**

We have been given an expression . 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 .

**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

Μ = 64

σ = 3.5

a)

μ - 3σ = 53.5

μ - 2σ = 57.0

μ - σ = 60.5

μ = 64.0

μ + σ = 67.5

μ + 2σ = 71.0

μ + 3σ = 74.5

b)

(71 - 64)/3.5 = 2.0

z = 0.9772

n = 3000*(1 - 0.9772)

≈ 68

Hope this helps!

σ = 3.5

a)

μ - 3σ = 53.5

μ - 2σ = 57.0

μ - σ = 60.5

μ = 64.0

μ + σ = 67.5

μ + 2σ = 71.0

μ + 3σ = 74.5

b)

(71 - 64)/3.5 = 2.0

z = 0.9772

n = 3000*(1 - 0.9772)

≈ 68

Hope this helps!

ANSWERED AT 16/02/2020 - 06:10 PM

QUESTION POSTED AT 16/02/2020 - 06:10 PM

**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

200 + 80h = 230 + 70h

80h - 70h = 230 - 200

10h = 30

h = 30/10

h = 3...they will charge the same rate at 3 hrs

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

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

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 :)

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

The following are the details given for your answer

two for quadrilateral

six for hexagon

eight for octagon

and ten for decagon.

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

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

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

**Answer:**

**Step-by-step explanation:**

Consider ΔABC with vertices such that P , Q , R are midpoints of sides BC , AC and AB .

We know that midpoint of line segment joining points is equal to

__Midpoints P , Q , R :__

We know that distance between points is given by

Length of AP :

AP =

Length of BQ :

BQ =

Length of CR :

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

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

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

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.

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

If the person at the back saw two black hats, he would immediately know that he wore a white hat. He does not, so the two front hats are either black and white, or both white. The second person would know this fact! If they saw a black hat in front of them, then they would know that their hat is white. Since they do not, the hat at the front must be white. The guy at the front realises all this, and knows that his hat is white.

ANSWERED AT 16/02/2020 - 05:28 PM

QUESTION POSTED AT 16/02/2020 - 05:28 PM

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 ° **

2) a genaral sin function is of the type:

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)

b) T in march => t = 3

c) T in august => t = 8

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

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

**Answer:**

That would be D

**Step-by-step explanation:**

ANSWERED AT 16/02/2020 - 04:47 PM

QUESTION POSTED AT 16/02/2020 - 04:47 PM

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

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

7% in decimal form is .07

1st year 200+200(.07)=200(1+.07)

nth year 200(1.07)^n

a) plug in 4 for n above

b)200(1.07)^n=350 (solve for n)

ANSWERED AT 16/02/2020 - 04:11 PM

QUESTION POSTED AT 16/02/2020 - 04:11 PM

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**

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:

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

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

A.) Area of region R =

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

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

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

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

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.

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

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

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

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

F(x)+g(x)=3x-3

(f+g)(3)=3×3-3=9

(f+g)(3)=3×3-3=9

ANSWERED AT 16/02/2020 - 03:42 PM

QUESTION POSTED AT 16/02/2020 - 03:42 PM