John is going to the store. His house is located 3 miles south and 4 miles east from the
store, as shown below. What is the shortest distance from his house to the store? Explain
your reasoning.
1
3 miles
HA
BE
4 miles

If you want me to simplify this is the answer.... 6a^2-a-35

Answer:

5.9125in^2

Step-by-step explanation:

Step one:

Given data

Dimension of square= 5.25 in

Area of sqaure= 5.25^2= 27.5625  in^2

We are told that the sides of the circle touch the sides of the square

hence the diameter of the circle is 5.25in

radius= 5.25/2= 2.625 in

Area of  circle= πr^2

Area of circle = 3.142*2.625^2

Area of circle=3.142*6.890625

Area of circle= 21.65 in^2

Step two:

The area that is not inside the circle

=Area of square-Area of circle

=27.5625- 21.65

=5.9125in^2

Answer:

d

Step-by-step explanation:

Answer:

fourth option

Step-by-step explanation:

Since the sides are congruent, then the diagonal divides the square into 2 right isosceles triangles.

Thus the 2 base angles are congruent with measure 45°

Hence y = 45

-------------------------------------------------------------

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )

2x = 10[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 5[tex]\sqrt{2}[/tex]

(1,1)

(-1,-16)

(-5,8)

(-8,6)

(17,-3)

Answer:

Conclusion:

Step-by-step explanation:

Given

We know that the diagonals of a parallelogram bisect each other.

Therefore,

Given RT = x and TP = 5x-28, so

x = 5x-28

5x = x+28

5x-x = 28

4x = 28

divide boh sides by 4

4x/4 = 28/4

x = 7

Thus, the value of x = 7

Similarly,

QT = TS

Given QT = 5y and TS = 2y+12, so

5y = 2y+12

5y-2y = 12

3y = 12

divide both sides by 3

3y/3 = 12/3

y = 4

Thus, the value of y = 4

Conclusion:

Answer:

C. ΔBDC+~+ΔEDA

Step-by-step explanation:

Two triangles are said to be similar if their sides and angles are relation in a definite proportion. So that, comparing the triangles (ΔBDC and ΔEDA) in the given diagram;

<B ~ <E

<C ~ <A

D is a common angle to both triangles (right angle).

Also,

BC ~ EA

DC ~ DA

BD ~ ED

Thus, the statement that compares the two triangles is:

ΔBDC+~+ΔEDA (similarity property)

Answer:

side

Step-by-step explanation:

Answer:

5.25x + 55 is greater than or equal to 399

Step-by-step explanation:

55 is a fixed amount of money that Amelia already has so that will be added to the part of the eqaution: 5.25x.

Her total should be greater than or equal to $399

Answer:

It just means that it is not equal to each other so the equation is false.

Step-by-step explanation:

The equal sign with a line through it means that they aren't the same. -12 is a different number from 12 so they can't end up being the same in the end of the equation.

Hope this helps!

Answer:

19.4

Step-by-step explanation:

16^2+11^2=377

then square 377 which will equal to

19.416 which can be rounded up to 19.4

8x-4y=24

sub 8x from both sides

-4y=24-8x

sub 24

-4y-24=-8x

add -4y

-24=4y=8x

Answer:

y=2x-6

Step-by-step explanation:

First isolate the variable. You're trying to find y, so you need to ultimately leave y by itself.

8x-4y=24

Subtract 8x from both sides to cancel out the 8.

You should have the equation below left:

-4y= -8x+24

Now, divide everything by negative for so that you are only left with the y.

You should have the equation below left.

y=2x-6

I hope this helped:)

A triangle that has 2 sides congruent is called an isosceles triangle.

A triangle that has all 3 sides congruent is called an equilateral triangle.

I have attached a picture below which will help you.

Answer: all real numbers

Step-by-step explanation: the domain is always all real numbers

Answer:

\[v(t)=\underset{\text{Δ}t\to 0}{\text{lim}}\frac{x(t+\text{Δ}t)-x(t)}{\text{Δ}t}=\frac{dx(t)}{dt}.\]

Step-by-step explanation:

Answer:

for 2 hours of skating it will be 12$

Step-by-step explanation:

6+6=12 . (:

Answer:

12 centimeters

Step-by-step explanation:

30/2.50 is 12

Answer:

Yeah its 7 because when you add 3+2=5, and x is 2, its 7

Answer:

41*

Step-by-step explanation:

Answer:

I hope this helps sorry if I'm wrong

Answer:

y = 1x

Step-by-step explanation:

y

[tex]y \geqslant 1x + 2[/tex]

cancel out the +2 by using the opposite sign and add a 1 in front of the x

Answer:

9/25 = 0.36

Step-by-step explanation:

CLICK THAT CROWN AND THANK YOU BUTTON

Answer:

9/25 = 0.36

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

To do this, convert 35% to a decimal, so 35% = 0.35. Then, you just have to multiply 0.35*60 = 21

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 81

81² = 6561

13² + 80² = 169 + 6400 = 6569

Since 6561 ≠ 6569 then they do not form a right triangle

Using reverse Pythagoras theorem, the three sides of lengths of triangle does not form right triangle.

Reverse Pythagoras theorem states that "the square of the longest side is equal to the sum of the squares on the other two sides then the triangle is right triangle".

A triangle in which "one angle is 90° and the other two sides are perpendicular to each other is called right triangle."

According to the question,

Three sides lengths of triangle 13, 80 and 81. In order to find this triangle is right triangle or not.

Let a = 13, b=80, and c = 81

Reverse Pythagoras theorem  c² = a² + b²

(81)² = (13)² + (80)²

6561 = 169 + 6400

6561 ≠ 6569

Hence, using reverse Pythagoras theorem, the three sides of lengths of triangle does not form right triangle.

Learn more about reverse Pythagoras theorem here

https://brainly.com/question/343682

#SPJ2

Answer:

r=16/3 if u want me to explain i can

Step-by-step explanation:

Simplify  18/12 to 3/2

8/2=3/2

Multiply both sides by r.

18=3/2r

Simplify 3/2r to 3r/2

8=3/2r

Multiply both sides by 2.

8×2=3r

Simplify  8 x 2 to 16

16=3r

Divide both sides by 3

so the answer is r=16/3

​

Answer:

1. -1/2

2. 3/-2

3. 1/2/2

4. 7/2

Step-by-step explanation:

Hope it helped

Answer:

C.

Step-by-step explanation:

If all points on the circle are the same distance from point S, it means that point S is the centre of the circle.

Consequently, the circle would be named after point S, being the centre of the circle.

Therefore, the correct name of the circle would be circle S (OS).

C is the answer.

Answer:

your answer would be 6

Step-by-step explanation:

(3)4-6

12-6

6

Answer:

I think it would be 18

Step-by-step explanation:

3 x 4 =12

12 + 12= 24

24 -6=18

Answer:

C

Step-by-step explanation:

Firstly, we will identify the angle that has the given cosine value

From what we can see, the arc cos of this value is 45 degrees

but, as we can see, the value is negative

On the quadrants, the value of cosine is negative on the 2nd and 3rd quadrant

2nd quadrant ranges from 90 - 180

That is pi/2 to pi

3rd ranges from 180 to 270

That is pi to 3pi/2

Kindly recall, we are considering angles from -360 to 360

So what this mean is that we will consider angles that are negative of what we have as positive angles on the first and fourth quadrant on which cosine is positive

Thus, we have the following;

5pi/4 is same as 225 degrees

This is on the 3rd quadrant, and cosine is negative there

7pi/4 is same as 315 and this is on the fourth quadrant

This is expected to be negative because normally, cosine is positive on that axis and what we have should be negative

3pi/4 is same as 135

This is on the second quadrant and normally, cosine is negative here so we do not need to negate the angle measure

pi/4 is on the first quadrant and cosine is positive here;

Since the value we have here is positive, we have to negate the angle measure

So the correct angles are;

negative pi/4

positive 3pi/4

positive 5pi/4

negative 7pi/4

Answer:

The total cost is [tex]\$23[/tex].

Step-by-step explanation:

Given: Original price of calculator is [tex]\$100[/tex], discount is [tex]80\%[/tex] and the sales tax is [tex]15\%[/tex].

To find: The total cost

Solution:

We have,

Original price of calculator[tex]=\$100[/tex]

Discount [tex]=80\%[/tex]

Sales tax [tex]=15\%[/tex]

Now, first we need to find the cost after applying the discount.

So, discount [tex]=\frac{80}{100}\times100=\$80[/tex]

Therefore, the cost after applying the discount

[tex]=\$100-\$80=\$20[/tex]

Now, we have to find the sales tax. Therefore,

Sales tax [tex]=\frac{15}{100}\times20=\$3[/tex]

So, the total cost is [tex]\$20+\$3=\$23[/tex].

Hence, the total cost is [tex]\$23[/tex].

Answer:

$23

Step-by-step explanation:

Hope this helps