The tennis courts are 3 blocks west and 2 blocks south of Miguel’s house. The bike path is 5 blocks east and 2 blocks south of Miguel’s house. How many blocks are the tennis courts from the bike path?

Answer:

hypotenuse = 7.3

Step-by-step explanation:

here 7 and 2 are the legs og the right triangle .we should find hypotenuse.

let the legs of the right triangle be a nd b respectively . And c be hypotenuse

using pythagoras theorem to find hypotenuse

a^2 + b^2 = c^2

7^2 + 2^2 = c^2

49 + 4 = c^2

53 = c^2

[tex]\sqrt{53}[/tex] = c

7.28 = c

7.3 =c

Answer:

7.3

Step-by-step explanation:

[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]

Answer:

[tex] \frac{15 \sqrt{209} }{209} [/tex]

Step-by-step explanation:

Objective: Understand and work with trig identies.

Recall multiple trig identies and manipulate them to get from cosecant to secant.

Given

[tex] \csc(a) = \frac{60}{16} [/tex]

Apply reciprocal identity csc a = 1/sin a.

[tex] \sin(a) = \frac{16}{60} [/tex]

Apply pythagorean identity to find cos a.

[tex]( \frac{16}{60}) {}^{2} + \cos(x) {}^{2} = 1[/tex]

[tex] \frac{256}{3600} + \cos(x) {}^{2} = 1[/tex]

[tex] \cos(x) {}^{2} = \frac{3600}{3600} - \frac{256}{3600} [/tex]

We can simplify both expression

[tex] \cos(x) {}^{2} = \frac{225}{225} - \frac{16}{225} [/tex]

[tex] \cos(x) = \frac{ \sqrt{209} }{15} [/tex]

Cosine is positve on quadrant 1 so that cos(a)

Apply reciprocal identity sec a= 1/ cos a.

The answer is

[tex] \sec(a) = \frac{15}{ \sqrt{209} } [/tex]

Rationalize the denominator.

[tex] \frac{15}{ \sqrt{209} } \times \frac{ \sqrt{209} }{ \sqrt{209} } = \frac{15 \sqrt{209} }{209} [/tex]

Answer:

105mm

Step-by-step explanation:

To find the rainfall during the month of April simply multiply the number of days in April times the average daily rainfall

Number of days in April: 30

Average daily rainfall: 3.5mm

Rainfall during the month = 30 * 3.5 = 105mm

Answer:

119.4

Step-by-step explanation:

The Area of the Rectangle : 132 cm

Area of the Circle : 12.6 cm

Shade=  MINUS - 132 cm  - 12.5 cm = 119.4!

Happy To Help! :)

Answer:

b. Pure Imaginary Numbers.

Step-by-step explanation:

[tex] (i \sqrt{3})^2 = i^2 \times (\sqrt{3})^2 = -1 \times 3 = -3 [/tex]

-3 is an integer, a complex number, and a rational number.

Answer: b. Pure Imaginary Numbers.

Answer:

OA . -6

Step-by-step explanation:

correct me if I'm wrong

Answer:

m = 1     c = -8

Step-by-step explanation:

Answer:

i dont under stand but i will just ask for help to my father

Step-by-step explanation:

i dont wnow the answer!???

Answer:

Step-by-step explanation:

[tex]Florence \ washed \ 3\ cars \ and\ earned\ = \$ x\\\\[/tex]

[tex]Cost\ of \ washing \ one \ car = \frac{x}{3}[/tex]

[tex]Anona \ washed \ 5 \ cars \ and \ earned \ 16 \ more \ than \ Florence = x + 16[/tex]

[tex]Cost\ of \ washing \ one \ car \ by \ Anona = \frac{x +16}{5}[/tex]

 [tex]\frac{x}{3} = \frac{x + 16}{5}\\[/tex]                    [tex][ \ cross \ multiply \ ][/tex]

[tex]5 \times x = 3 \times( x + 16)\\\\5x = 3x + 48\\\\5x - 3x = 48\\\\2x = 48\\\\x = 24[/tex]

[tex]Cost \ of \ washing \ one \car = \frac{x}{3} = \frac{24}{3} = \$ 8[/tex]

Therefore ,

                 Florence earned $24

                 Anona earned 24 + 16 = $40  

                 Caragh Washed 4 cars, so Caragh earned = 8 x 4 = $32

Answer:

0.76

or

-0.76

hope this helps

Answer:

(x, y) = (10, 290)

Step-by-step explanation:

From the table

Total fees = fixed + variable

Fixed:

When number of times Ahmed mowed, x = 0

y = 40

When x = 2, y = 65

Rate of change = y2 - y1

= 65 - 40

= 25

y = 40 + 25x

Where,

y = total fees charged

40 = fixed fee

25x = variable fee

Total amount Ahmed will make for mowing 10 times

when x = 10

y = 40 + 25x

y = 40 + 25(10)

= 40 + 250

= 290

y = 290

(x, y) = (10, 290)

Answer:

x=5

Step-by-step explanation:

7x - 4y = 23 and x + y = 8

Multiply the second equation by 4

4x + 4y = 32

Add this to the first equation

7x - 4y = 23

4x + 4y = 32

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

11x    = 55

Divide each side by 11

11x/11 = 55/11

x = 5

Answer:

[tex]\huge\boxed{x=5}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}7x-4y=23\\x+y=8&|\text{subtract}\ x\ \text{from both sides}\end{array}\right\\\left\{\begin{array}{ccc}7x-4y=23&(1)\\y=8-x&(2)\end{array}\right\\\\\text{substitute (2) to (1):}\\\\7x-4(8-x)=23\qquad|\text{use the distributive property}\\\\7x+(-4)(8)+(-4)(-x)=23\\\\7x-32+4x=23\qquad|\text{combine like terms}\\\\(7x+4x)-32=23\qquad|\text{add 32 to both sides}\\\\11x-32+32=23+32\\\\11x=55\qquad|\text{divide both sides by 11}\\\\\dfrac{11x}{11}=\dfrac{55}{11}\\\\x=5[/tex]

Answer:

HCF×LCM=a×b

6×60=a×b

a×b=360

So the numbers are whose product is 360 and LCM is 60

These two numbers can be 6,60 or 12,30

Answer:

11 unit

Step-by-step explanation:

Applying,

s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1

Where s = length of the side formed.

From the question,

Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5

Substitute these values into equation 1

s = √[(9+2)²+(5-5)²]

s = √(11²)

s = 11 unit.

Hence the length of the side formed by the vertices is 11 unit

Answer:

Number of additional inches= x

Number of additional topping= y

Total cost= 8+1.5(x)+0.75(y)

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

hope it helps...

have a great day!!

Answer:

14

Step-by-step explanation:

Triangle=180

180-90 (RA) = 90

90-41= 39

(2x+11)=39

2x=28

x=14

Answer:

-6 and -1

Step-by-step explanation:

The excluded values are the values of x that satisfy [tex]2x^{2} + 14x + 12 = 0[/tex]

Let us solve the equation [tex]2x^{2} + 14x + 12 = 0[/tex]

It's a quadratic equation

Thus, let us calculate the discriminant Δ

Δ [tex]= 14^{2} - 4 .2.12 = 100[/tex]

the discriminant is greater than 0, so the equation has two solutions

[tex]x = \frac{-14 - 10}{4} = \frac{-24}{4} = -6[/tex]  or  [tex]x = \frac{-14+10}{4} = \frac{-4}{4} = -1[/tex]

the excluded values are -6 and -1

Answer:

y=2

Step-by-step explanation:

3 = (y+7)/3

Multiply each side by 3

3*3 = (y+7)/3 *3

3*3 = y+7

9 = y+7

Subtract 7 from each side

9-7 = y+7-7

2 =y

Answer:

2 = y

Step-by-step explanation:

3 = y + 7 ÷ 3

multiply both side of equation by 3

3 × 3 = y + 7 ÷ 3 / 3

9 = y + 7

subtract 7 from both side

9 - 7 = y + 7 - 7

2 = y

Answer:

c

Step-by-step explanation:

i hope it helped ᘳ◕ᴥ◕ᘰ

Answer:

15, 9, 3n

Step-by-step explanation:

Just multiply the number of red balls by 3 to get total number, and divide the total number by three to get the number of red balls

Answer:

What math game is this?

Oh and this guy is correct.

Step-by-step explanation:

Answer:

0.013

I think.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

So there are two things that must be remembered.

The radius is half of the diamater. It is the distance from the side of a circle to its center.

The diamater is two times the radius. It is the distance from one side of the circle to the opposite side of the circle.

In this case, we know the radius is 4.

The radius is half of the diamamter, or the diamater is two times the radius.

This can be though of as:

2r=d

Or

1/2d=r

So lets plug 4 in for r:

2*4=d = 8=d

1/2d=4 = 2*1/2=4*2 = 1d=8

So using either of these formulas, we find d is equal to 8.

Hope this helps!

Answer:

option  C

Step-by-step explanation:

We will take 2 coordinates from the graph and Find the equation of the line.

Let the coordinates be : ( 0, 1) and (1, 3)

step 1 : find slope

[tex]slope , m = \frac{y_2 - y_ 1}{x_2 - x_1} = \frac{3-1}{1-0} = 2[/tex]

Step 2 : equation of the line :

[tex]( y - y_1) = m (x- x_1)[/tex]

[tex](y -1) = 2 ( x -0)\\y - 1 = 2x \\y = 2x + 1[/tex]

Therefore, y = 2x + 1 represent the equation of the line.

Answer:

C

Step-by-step explanation:

You need to solve for y = mx + b

You can solve for b right away. It is clear that the line crosses the y axis at (0,1) so you have

y = mx + 1 so far.

Normally you would need two clear points to solve for m, but since you know the y intercept, you need only 1 point.

The clearest point I can see is (-2,-3) which means that

x = -2

y = - 3

Put that into the equation and solve for m.

-3 = m(-2) + 1          Subtract 1 from both sides

-3-1 = m(-2)             Combine

-4 = -2 m                 Divide both sides by - 2

-4/-2 = m

m = 2

Answer

only a and c are real choices. That's because m = 2 in both cases.

The equation we got is y = 2x + 1 which is c

Answer:

-5, -3

Step-by-step explanation:

Answer:

c) 72

hope this helps!

please give brainiest<3

Answer:

72

Step-by-step explanation:

Substitution:

4^3 + 4 x 6 - 16

64+24-16=72

Answer:

1:26

Step-by-step explanation:

You can divide both sides by 2.

Answer:

-10

Step-by-step explanation:

y-5y+2

=3-5 x 3+2

Using the rule of BODMAS

=3-15+2

=3-13

= -10

Answer:

35 is correct

Step-by-step explanation:

hope this helps.

Answer:

35°

Step-by-step explanation:

Angle ACD is 70°. The little tick marks on the angle mean both sides of the split are the same amount. This means if you divide the angle in half, you will find out what both of them are equal to.

answer is

B. 6√2

hope this helps!

The length of the leg is 9.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

From the triangle,

S = length of the leg.

Now,

Applying the Pythagorean theorem.

√18² = 3² + s²

18 = 9 + s²

s² = 18 - 9

s² = 9

s = 9

Thus,

The length of the leg is 9.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ7

Answer:

20

Step-by-step explanation:

a²+b²=c²

25²-15²=b²

625-225=b²

400=b²

√400=√b²

20=b