The circumference of a circle is 24 units. Predict the arc length of a quarter of the circle​

Answer:

Let x be one of the numbers

then since they differ by 3... Let (x-3) be the 2nd Number

Their product is 88

(x-3)x = 88

x²-3x =88

x² - 3x - 88=0

Solving The quadratic eqn

x=11 or x = -8.

To check this answer

since the Numbers are x and x-3

x= 11

x-3 = 11 - 3 = 8

(x-3)x = 8x11 = 88.

Or When x=-8

(x-3) = -8 - 3 = -11

x= -8

(x-3)x = -8 x - 11 = 88.

Have a great day!

Answer:

First Set: [11, 8], Second Set: [-8, -11]

Step-by-step explanation:

The first number will be x. The second number is x-3. So now make an equation: x(x-3)=88 because their product equals 88. So now solve.

Solving:

[tex](x)(x-3)=88[/tex]

[tex]x^{2}-3x-88=0[/tex]

Now you can factor:

[tex](x-11)(x+8)=0[/tex]

[tex]x=11, x=-8[/tex]

Now plug in each number for x for the following equation:

[tex](x)(x-3)=88[/tex]

[tex](11)(11-3)=88[/tex]

[tex]88=88[/tex]

This is true.

[tex](-8)(-8-3)=88[/tex]

[tex]88=88[/tex]

This is true.

Both are true. So now you have two sets of answers.

Your welcome!

Answer:

9.1

Step-by-step explanation:

Answer:9.1

Step-by-step explanation: simply remove the 2 digits after 1 as the tenth place is always one digit after the point

Answer:

x =132

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

x = 46+86

x =132

Answer:

x=132 degree

Step-by-step explanation:

86 + 46 = x (sum of two interior opposite angle is equal to the exterior angle formed)

132 =x

therefore the value of x is 132 degree.

Answer:

[tex]2.95\cdot 10^3\:\mathrm{km}[/tex]

Step-by-step explanation:

Distance is given by [tex]D=st[/tex], where [tex]s[/tex] represents speed or rate and [tex]t[/tex] represents time.

What we're given:

Thus, the distance covered by the airplane is:

[tex]d=885\cdot 3.\overline{3}=2,950\:\mathrm{km}[/tex]

In scientific notation:

[tex]2,950\:\mathrm{km}\implies\boxed{2.95\cdot 10^3\:\mathrm{km}}[/tex]

Answer:

Distance = speed * time

The distance is:

Answer:

FGE = 44 degrees

CD = 72 degrees

Step-by-step explanation:

Let's solve for FGE first;

We know that CGD and FGE are verticals angles and therefore congruent, so if;

CGD = FGE

44 = FGE

Now let's solve for CD;

Therefore we can say;

FED = FBE + ED

180 = 72 + ED

180 - 72 = ED

108 = ED

So;

FC also = 108

Now we know that the measure of a whole circle is 360 and here we are given 4 arcs that make up a full circle;

FBE + ED + DC + CF = 360

72 + 108 + DC + 108 = 360

288 + DC = 360

DC = 360 - 288

DC = 72

Hope this helps!

Answer:

[tex]x=30[/tex]

Step-by-step explanation:

[tex]5x=3x+60[/tex]

[tex]-3x[/tex]   [tex]-3x[/tex]

[tex]2x=60[/tex]

[tex]/2[/tex]     [tex]/2[/tex]

[tex]x=30[/tex]

Check:

[tex]5(30)=3(30)+60[/tex]

[tex]150=90+60[/tex]

[tex]150=150[/tex]

Hope this helps!

Answer: 100 = 10d + 5

Step-by-step explanation:

Dolls are sold for $10 each so when checking the total amount made from the sale of d dolls you will multiply d by the price of each doll:

= 10 * d

= 10d

There is a $5 charge for shipping but this is one time so it is added to the total price of d dolls:

= 10d + 5

The total made was $100 so the equation above should equal $100:

100 = 10d + 5

Answer: 14

Step-by-step explanation: I am guessing that you wrote the "c" incorrectly and that meant to be an "e". All you really need to do is replace the letters with the numbers that equal the letters, which would be:

(15) - 1/2(2)

1/2 * 2 = 1

15 - 1 = 14

Answer:

583

Step-by-step explanation:

The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:

Simplify,

Inverse operations,

Answer:

[tex]RS~\times~RT=RQ^2[/tex]

[tex]x(x+40)=45^2[/tex]

[tex]x^2+40x-45^2=0[/tex]

[tex]x=\frac{-40+-\sqrt{(40)^2+4\times45^2} }{2}[/tex]

[tex]=\frac{-40+-\sqrt{9700} }{2}[/tex]

[tex]x=29.2[/tex]

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

hope it helps..

have a great day!!

Answer:

false

Step-by-step explanation:

false

Answer:

it is false it'll be (-infinity,infinity )

Step-by-step explanation:

Hope this helps!! <3

Answer:

B = 61°

A = 29°

a = 10

Step-by-step explanation:

We are given;

c = 16, b = 14​

Since we are told that C is a right angle, it means that C = 90°

Thus using sine rule, we have;

c/sin C = b/sin B

16/sin 90 = 14/sin B

16/1 = 14/sin B

sin B = 14/16

sin B = 0.875

B = sin^(-1) 0.875

B ≈ 61°

Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.

Thus, from pythagoras theorem, If the other side of the triangle is a, then;

a² + b² = c²

a² + 14² = 16²

a² = 16² - 14²

a² = 256 - 156

a² = 100

a = √100

a = 10

Since we know B and C, we can find A because sum of angles in a triangle is 180°.

Thus;

A = 180 - (B + C)

A = 180 - (61 + 90)

A = 29°

The additional piece of information is ∠S ≅ ∠J, which satisfy the given condition.

If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.

You need at least one pair of congruent corresponding sides to prove two triangles are congruent. If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

Here, We can get

ΔTBJ ≅ Δ DPS

Existing conditions, JB = PS

 and ∠B = ∠P

Prove by ASA,  ∠S ≅ ∠J

Thus, additional piece of information is ∠S ≅ ∠J, which satisfy the given condition.

Learn more about ASA Congruence from:

https://brainly.com/question/10677854

#SPJ2

Answer:

[tex]y=-\frac{4}{5}x+\frac{74}{5}[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]y=\frac{5}{4} x-10[/tex]

From the given equation, we can identify clearly that the slope of this line is

[tex]\frac{5}{4}[/tex]. The negative reciprocal of [tex]\frac{5}{4}[/tex] is [tex]-\frac{4}{5}[/tex], so therefore, the slope of the line we're currently solving for is [tex]-\frac{4}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-\frac{4}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{4}{5}x+b[/tex]

Plug in the given point (11,6) and solve for b

[tex]6=-\frac{4}{5}(11)+b\\6=-\frac{44}{5}+b[/tex]

Add [tex]-\frac{44}{5}[/tex] to both sides to isolate b

[tex]6+\frac{44}{5}=-\frac{44}{5}+b+-\frac{44}{5}\\\frac{74}{5} =b[/tex]

Therefore, the y-intercept is [tex]\frac{74}{5}[/tex]. Plug this back into [tex]y=-\frac{4}{5}x+b[/tex]:

[tex]y=-\frac{4}{5}x+\frac{74}{5}[/tex]

I hope this helps!

Answer: anser is the last one y-2=1/2(x-(7))

Step-by-step explanation:

Answer:

8 units²

Step-by-step explanation:

The formula for the area of a triangle is a=[tex]\frac{bh}{2}[/tex], where a is area, b is base length, and h is height.

If we substitute b with 8 and 2 with h, we get a=[tex]\frac{2*8}{2}[/tex].

This can be immediately simplified to 8 by dividing both the numerator and denominator by 2.

**This content involves area of triangles, which you may wish to revise. I'm always happy to help!

Answer:

$36.97  

The cost of the meal was $32.57 and he used a 10% off coupon. You can make 10% equal to 0.1 because . Now do . This is the discount, so you want to subtract this from the original to get the actual price of the meal, .

The tax was 8% so this means he is adding

Answer: 9

Step-by-step explanation:

Given

The function is [tex]x^2-6x+c[/tex]

To make it a perfect square, compare it with [tex](a-b)^2=a^2+b^2-2ab[/tex]

Here,

[tex]x=a,\\-6x=-2ab\\\\\therefore b=3[/tex]

So, c must be square of b i.e. 9

[tex]x^2-6x+c\Rightarrow x^2-6x+9\\\Rightarrow (x-3)^2[/tex]

Therefore, value of c is 9.

Answer:

The correct value is t* = 2.797.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a  two-tailed confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.797.

Answer:

4 toppings

Step-by-step explanation:

22-12=10

2.50*?=10

2.50*4=10

4 toppings

Answer:

12+(2.50x)

12+(2.50*4)

12+(10)

22

Step-by-step explanation:

x stands for number of toppings

3x -17

4   -5 =0

3(x-4)=2

4          5

Answer:

Durante el frente frío mencionado en el ejercicio, la temperatura de Canadá bajó:

Step-by-step explanation:

Para obtener la cantidad de grados que bajó la temperatura en el caso mencionado, debes primero identificar la disminución en los grados positivos, es decir, cuando los grados Celsius llegaron a 0°C:

En la operación matemática, solo restante la cantidad de grados necesarios a la temperatura inicial (7°C) para que la temperatura quedara en 0°C, donde obtenemos una diferencia de 7°C, ahora identificas la cantidad de grados que se necesitan para que la temperatura pase de 0°C a -5°C:

Recuerda que como ya estamos hablando de diferencia, no necesitas señalar si los grados son negativos, solo identificamos el número de grados Celsius entre esas temperaturas mencionadas, por lo tanto, al final sumas las dos diferencias halladas y esa será la diferencia total entre las dos temperaturas dadas:

Por lo tanto, durante el frente frío mencionado, la temperatura en Canadá bajó 12°C.

Answer:

It would be D or C.

Step-by-step explanation:

Answer:

x = 3 1/2

Step-by-step explanation:

8/14 = 2/x

Using cross products

8*x = 14*2

8x = 28

Divide by 8

8x/8 = 28/8

x = 7/2

x = 3 1/2

Answer:

The time it would take Kyle's mum is given as follows;

[tex]t = \dfrac{3 \cdot v^2+ 2\cdot v - 2}{v \cdot (v - 1) \cdot (v + 2)}[/tex]

Where v = Kyle's average rate

Step-by-step explanation:

The details of Kyle's mother's journey are;

The distance she drove = 12 miles

Her speed during the first third (12/3 = 4 miles), v₁ = 4 × Kyle's speed, v

Her speed in the second third(between 4 and 8 miles), v₂ = v₁ - 4

Her speed in the last third, v₃ = v₂ + 12

∴ v₁ = 4·v

v₂ = v₁ - 4 = 4·v - 4

v₃ = v₂ + 12 = 4·v - 4 + 12 = 4·v + 8

∴ t₁ = (t/3)/4 = t/12 = 4/(4·v) = 1/v

t₂ = 4/(4·v - 4) = 1/(v - 1)

t₃ = 4/(4·v + 8) = 1/(v + 2)

The total time, t = t₁ + t₂ + t₃

∴ t = 1/v + 1/(v - 1) + 1/(v + 2) = [tex]\dfrac{3 \cdot v^2+ 2\cdot v - 2}{v \cdot (v - 1) \cdot (v + 2)}[/tex]

The time it would take Kyle's mum to travel the same 12 miles by car that Kyle traveled on his bike, t = [tex]\dfrac{3 \cdot v^2+ 2\cdot v - 2}{v \cdot (v - 1) \cdot (v + 2)}[/tex]

Answer:

D

Step-by-step explanation:

First find the slope of the line. The two points I will use are (0, 3) and (4, 2).

(2-3)/(4-0) = -(1/4). In all the equations below, the number/co-efficient before x is the slope of the line. D is the correct answer because you can rearrange the right side of it to get y = -(1/4)x+2. The co-efficient of x is -(1/4) so D is the right answer. Hope this helps! :)

Answer: D

Step-by-step explanation:

In order to have the same slope, in y=mx+b form, the two "m" must be equal.

Step 1 is to find the slope of the graph through two points. I choose the points (0,3) and (4,2)

slope is y2-y1/x2-x1 so 3-2/0-4 = -1/4

Now find which equation has the m of -1/4 and that's your answer

Hint its D.

Answer:0 = 3x - 21

Step-by-step explanation:

From this given function we can take an  

x

common from its expression

i.e  

x

2

−

6

x

=

x

(

x

−

6

)

As we know that the product of two numbers is zero,when either one of them is zero

then in the above expression that we just factorised

the function can be zero when either  

x

=

0

or when  

x

=

6

i.e when  

x

=

0

,  

0

(

0

−

6

)

=

0

when  

x

=

6

,  

6

(

6

−

6

)

=

6

(

0

)

Finally, our prize of all that math, the zeroes of the function are  

0

and  

6

these numbers are called the zeroes of the function because when you put these values in  

x

the function gives zero.

Answer:

A) A = 275 + 125x

B) 1850 - 100x

C) 7 months

D) 13 months

Step-by-step explanation:

He has $275 saved.

He plans to save $125 each month.

We are told that the computer is currently $1,850

And the price drops $100 each month.

Thus;

A) If x represents the number of months, then equation of the amount he will save is;

A = 275 + 125x

B) If x represents the number of months, then equation to represent the total cost is;

1850 - 100x

C) To find the Number of months he will need to save, we will equate gotten in question A to the equation gotten in question B. Thus;

275 + 125x = 1850 - 100x

Rearranging;

125x + 100x = 1850 - 275

225x = 1575

x = 1575/225

x = 7 months

D) If the price doesn't drop like he is anticipating, then the cost will still be $1850. Thus;

275 + 125x = 1850

125x = 1850 - 275

125x = 1575

x = 1575/125

x = 12.6 months

Approximating to the nearest whole number gives 13 months

Answer:

b = 1/3

Step-by-step explanation:

6(b+1)=8

Solving for b

Distribute

6b +6 = 8

Subtract 6 from each side

6b+6-6 = 8-6

6b = 2

Divide by 6

6b/6 = 2/6

b = 1/3

Answer:

Calculate the zero of the function.

Step-by-step explanation:

Plot two points, Connect them, Draw a straight line and make sure they line up.