find the area of a circle

Answer:

Tabita's average speed was   [tex]21.6\,\,\frac{km}{h}[/tex]

Step-by-step explanation:

Let's start by finding the distance Badr covered during the 1.5 hour trip at the speed of 18 km/h. We use the velocity formula for that:

[tex]vel=\frac{distance}{time} \\18=\frac{distance}{1.5} \\distance=18\,*\,1.5 \,\,km\\distance= 27\,\,km[/tex]

Using the same basic formula, we can now estimate Tabita's average speed knowing that it took her 1 hour and 15 minutes (1.25 hours) to complete the trip:

[tex]vel=\frac{distance}{time} \\vel=\frac{27\,\,km}{1.25\,h}\\vel=21.6\,\,\frac{km}{h}[/tex]

Answer:

21.6

Step-by-step explanation:

Answer:

Gradient = m = -2

Y-intercept = b = 0

Step-by-step explanation:

Compare the given equation with slope-intercept form of equation.

y = mx + b

y = -2x + 0

So، m = -2 and b = 0

Best Regards!

Answer:

Solve by Substitution 3x+2y=7 , y=-3x+11. 3x+2y=7 3 x + 2 y = 7 ... y=−4 y = - 4. x=5 x = 5. The solution to the system of equations can be represented as a point.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for a geometric sequence is

[tex]a_n=a_1*r^{n-1}[/tex] where n is the position number in the sequence, a1 is the first number in the sequence, and r is the common ratio. For us,

n is 14, a1 is 5, and the common ratio (the number we multiply by each number to get to the next one in line) is -2.

[tex]a__{14}=5*(-2)^{14-1}[/tex] and

[tex]a_{14}=5*(-2)^{13}[/tex] and

[tex]a_{14}=5(-8192)[/tex] so

[tex]a_{14}=-40960[/tex]

What he said should be correct.

Answer:

-4

Step-by-step explanation:

Hello,

let say that [tex]x_1[/tex] and [tex]x_2[/tex] are two zeros of second order polynomial

it can be then be written

[tex](x-x_1)(x-x_2)=x^2-(x_1+x_2)x+x_1*x_2[/tex]

So when we check this expression

[tex]x^2+4x+7[/tex]

we can say that the sum of zeros is -4

and the the product of zeros is 7

to note that in this example there are no real root of this equation

[tex]x^2+4x+7=0[/tex]

here, the zeros are complex numbers not real ones

if I have to solve it in [tex]\mathbb{R}[/tex] I would say that there are no zeros so their sum is not defined

if I have to solve it in [tex]\mathbb{C}[/tex] I would say that there are two complex roots and their sum is -4

hope this helps

Answer:

35

Step-by-step explanation:

Since we know the amounts of each vitamin per serving all we have to do is find the difference.

We do this by subtracting 90 from 125.

125 - 90 = 35

Answer:

Answers are below

Step-by-step explanation:

12) No because the scale factor is not the same between the two rectangles

13) Yes. TUV is congruent to XYZ. The scale factor is 3/4.

14) Yes. I used SAS to see whether or not the triangles were similar. PQR is congruent to UVW.

15) Yes. I used 14) Yes. I used SAS to see whether or not the triangles were similar. DGH is congruent to FEH.

Answer:

B.

Step-by-step explanation:

The quickest and most fool-proof way to do this is to using a graphing calc to graph the given equations. When you do so, you should see that B is the right choice. You can also tell from the asymptotes. x cannot equal 1 or -1, so B.

Answer:

[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]

Step-by-step explanation:

The n th term rule for a geometric sequence is

[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = 1 and r = 3 ÷ 1 = 3 , thus

[tex]a_{n}[/tex] = 1 . [tex]3^{n-1}[/tex]

Answer:

z=5, m<b=66 degrees

Step-by-step explanation:

8z+74+2z+56=180

10z+130=180

10z=50

z=5

Answer:

Step-by-step explanation:

To Find the value of x in this Alternate Interior Angle Relationship..

add [tex]8x+74[/tex] and [tex]2x+56[/tex]

[tex]8x+74+2x+56[/tex] combine like terms

[tex]10x+130=180[/tex]

subtract 130 on both sides

[tex]10x=50[/tex]

divide 10 on both sides

[tex]x=5[/tex]

Now solve for the angle of measure B

∠B=2(5)+56

∠B=10+56

∠B=66°

Answer:

The value of the line is 5.83.

Hope it helps!

Answer:

d = √34 or 5.83

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Point R (-3, 1)

Point S (2, 4)

d = √(2+3)²+(4-1)²

d = √(5²+3²)

d = √(25 + 9)

d = √34 or 5.83095

Answer:

[tex]a)365 \\ b)700 \\ c)76.5[/tex]

Step-by-step explanation:

[tex]a)360 + 5 \\ = 365[/tex]

Because each dash represent 10 and it's represent 5 in between of two dashes.

[tex]b)700[/tex]

Because each dash represent 100

[tex]c)76.5[/tex]

Because each dash represent 0.5

Answer:

The area of the parallelogram is 20 unit²

Step-by-step explanation:

We have that the area of a parallelogram = Base length, l × Height, h

The length of the base, l = √((5 - 0)² + (-2 - (-2))²) = 5

Given that the base of the parallelogram is parallel with to the x-axis, we have that the height is the difference between the a higher and a lower y-coordinate as follows;

h = y₃ - y₁ =  2 - (-2) = 2 + 2 = 4

Therefore, the area of the parallelogram, A = l × h = 4 × 5 = 20 unit².

Answer:

15/4

Step-by-step explanation:

This is because the denominator is 4 which means that there has to be 4 above it to make one:

4/4=1

So, with that being said, we do 4x3 = 12

But then we add 3 to the numerator(top number of the fraction) because the starting equation was:

3 3/4 = 15/4

Hope this helps!

Have a great day! :)

Answer:

y -3 = -4(x+2)

Step-by-step explanation:

The point slope form of a line is

(y-y1) = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

y -3 = -4(x- -2)

y -3 = -4(x+2)

Answer: 70ᴼ

Step-by-step explanation:

The triangles are vertical so their angle measures are congruent.

The angles of a triangle add to equal 180ᴼ.

55 + 55 = 110

180 - 110 = 70

Answer:

Step-by-step explanation:

[tex]A -of -circle= \pi*r^{2}\\ Note : A -semicircle- is -half -of- a- circle\\Area = \frac{ \pi*r^{2}}{2} \\r = 1\\A =\frac{3.14*1^{2}}{2}\\A = \frac{3.14}{2} \\A = 1.57[/tex]

The -3 is not in the exponent

Explanation:

The parent function is [tex]f(x) = 2^x[/tex]. Plugging in x = 0 leads to y = 1. So the point (0,1) is on the f(x) curve. Going from (0,1) to (0,-2) is a vertical shift of 3 units downward. To represent this shift, we tack on a "-3" at the end of the f(x) function.

[tex]g(x) = f(x) - 3\\\\g(x) = 2^x - 3[/tex]

You could look at other points as well, but I find working with x = 0 is easiest.

As a check, plugging x = 0 into g(x) leads to...

[tex]g(x) = 2^x - 3\\\\g(0) = 2^0 - 3\\\\g(0) = 1 - 3\\\\g(0) = -2[/tex]

This confirms our answer.

Answer:

1.9

Step-by-step explanation:

i just took the quiz

Answer:

5/12, 3/8, 5/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the common denominator, in this case 48. Divide 48 by each denominator and multiply that answer to the numerator. You get (48/16)x5, (48/12)x5 and (48/8)x3. So, 3x5, 4x5, and 5x5. So, 15,20, and 25. Then put these over your new common denominator of 48. So you get 15/48, 20/48, and 25/48. Then you can just order them like this, 15/48,20/48,25/48.

Easiest way: Another way is just to type each into your calculator and put the decimals in order of greatest to smallest. So divide 5 by 16. 5 by 12. And 3 by 8.

5/16=.3125

5/12=.4166

3/8=.375.

Then put in order.

Answer:

£100.32

Step-by-step explanation:

£88 + 14% × £88 = £88

 = 1.14×£88

 = £100.32

Answer:

Step-by-step explanation:

[tex]88 \times \frac{14}{100} = 12.32[/tex]

so,

[tex]88 + 12.32 = 100.32[/tex]

hope this helps you

Answer:

I'm pretty sure the correct answer is

D. None of the choices are correct

Step-by-step explanation:

The most likely answer would be AHL ~ NKG, it all depends on the order you put it in. However that is not one of the options so the answer is D.

Hope this helps!

- Quinn <3

Step-by-step explanation:

1. 180-115 = 65°

2. 360-304= 56°

3. 180 - (65°+56°)

= 180 - 121

x = 59°

Answer:

this may help uh to solve this type of problems.

Answer:

y = - 12x - 47

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 12x - 2 ← is in slope- intercept form

with slope m = - 12

Parallel lines have equal slopes, thus

y = - 12x + c ← is the partial equation

To find c substitute (- 4, 1 ) into the partial equation

1 = 48 + c ⇒ c = 1 - 48 = - 47

y = - 12x - 47 ← equation of parallel line

The required equation of the line is y = -12x - 47

"The equation of the line having slope m and passing through points (p, q) is (y - q) = m(x - p)"

"y = mx + c, where m is the slope and c is the Y-intercept of the line."

For given question,

We have been given a point (-4, 1)

The required line is parallel to the line y = -12x - 2

Comparing above equation with slop-intercept form of the line.

m = -12

Let m1 be the slope of the required line.

We know that the slope of parallel lines is equal.

⇒ m1 = m

⇒ m1 = -12

Now we find the equation of the required line by using slope-point form.

Let (p, q) = (-4, 1)

By using slope-point form,

⇒ (y - q) = m1(x - p)

⇒ (y - 1) = -12(x - (-4))

⇒ y - 1 = -12x - 48

⇒ y = -12x - 47

Therefore, the required equation of the line is y = -12x - 47

Learn more about equation of line here:

https://brainly.com/question/21511618

#SPJ2

Answer:

D.

Step-by-step explanation:

Since its x minus five, that means you must be moving left to make it negative. This is thus moving left five. This then cancels out A , B, and C, leaving you with D.

Answer: $50.91

Step-by-step explanation:

The following information can be gotten from the question;

Cost of sweater = $49.95,

Cost of slacks = $68.59 each,

Cost of 2 slacks = $68.59 × 2

= $137.18

Cost of suit = $429.99.

Total cost = $49.95 + $137.18 + $429.99 = $617.12

Sales tax = 8.25%

The sales tax that Mike owe will be:

= 8.25% × $617.12

= 0.0825 × $617.12

= $50.91

Mike will have to pay a sales tax of $50.91

Answer:

n=-3

Step-by-step explanation:

11(n – 1) + 35 = 3n

expand left side

11n-11+35=3n

Add-11 to 35

11n+35-11=3n

11n+24=3n

subtract 24 from both sides

11n+24-24=3n-24

11n=3n-24

subtract3n from both sides

11n-3n=3n-24-3n

8n=-24

divide both sides by 8

8n/8=-24/8

n=-3

Answer:

Step-by-step explanation:

[tex]11(n -1) + 35 = 3n\\n =? \\11n -11 +35=3n\\Collect-like-terms\\11n-3n=-35+11\\4n =-24\\divide -both-sides-of-the-equation\\n = \frac{-24}{4} \\n = -6\\\\[/tex]

Answer:

The value of x is 4%

Answer:

44 units

Step-by-step explanation:

When you perform a dilation on a figure, all of the side lengths of the figure get multiplied by the scale factor. This means that the perimeter is also multiplied by that scale factor. Since in this case that scale factor is 2, the new perimeter is 22*2=44 units. Hope this helps!

Answer:

44 units.

Step-by-step explanation:

Dilation is the transformation of an image's size by a scale factor.

The scale factor is given 2.

The rectangle has a perimeter of 22.

22 × 2 = 44

The perimeter for the resulting image is doubled by the scale factor of 2.