"Five less than
the quotient of
a number and
3 is -7°
A. 5 - X/3-7
B. -7 +x/3
C. X3 - 5 =-7
D. 5 - 4/2 = -7

7.5cm

lets take point K represent lenght from M to perimeter of circle.

r is radius

KM= r-OM= r-4.5cm

now lets draw line from O to A (OA)

we get triangle.

hypotenuse is OA and it equals r(radius)

ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)

use pythaghorean theorem

squares of sides added = square of hypotenuse

20.25+36=r^2(our hypotenuse is radius)

56.25=r^2

r=√56.25=7.5cm

Answer:

The radius of the circle is 7.5 cm

Step-by-step explanation:

Circles and Lines

The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.

We have attached an image with some additional measures to solve the problem.

Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.

The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:

[tex]r=\sqrt{6^2+4.5^2}[/tex]

[tex]r=\sqrt{36+20.25}[/tex]

[tex]r=\sqrt{56.25}[/tex]

[tex]\boxed{r = 7.5\ cm}[/tex]

The radius of the circle is 7.5 cm

Answer:

(x + 6)(x + 13)

Step-by-step explanation:

Given

x² + 19x + 78

Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)

The factors are + 6 and + 13 , since

6 ×13 = + 78 and 6 + 13 = + 19 , then

x² + 19x + 78 = (x + 6)(x + 13) ← in factored form

[tex]\bold{ x^2+19x+78 }[/tex]

[tex]\bold{ x^2+13x+6x+78 }[/tex]

[tex]\bold{ x(x+13)+6(x+13) }[/tex]

[tex]\bold{(x+6)(x+13) }[/tex]

Answer:

2 1/6 longer

Step-by-step explanation:

3 1/2-1 1/3

7/2 - 4/3

21/6-8/6

13/6 or 2 1/6

so 2 1/6 longer.

Hope this helps :D

Answer:

2 1/6 hours longer

Step-by-step explanation:

Hope the helps!

Answer:

71.99 in³

Step-by-step explanation:

The formula to apply is that of volume of a cone where;

V=π*r²*h/3  --------where V is the volume of the container, r is the radius of the container  and h is the height of the container

Given that : π=3.14 , r is 2.5 inches , h= 11 inches then apply values to the container as;

V= 3.14 * 2.5²* 11/3

V= 3.14 * 6.25 * 3.67

V= 71.9948

V= 71.99 in³

Answer:

Volume of Cone= 71.9583

Step-by-step explanation:

Volume of Cone= (1/3)πr²h

Volume of Cone= (1/3)×3.14×(2.5)²×11

Volume of Cone= 71.9583

Answer: There are 990 croissants

Step-by-step explanation:

If 45% of them are pretzels then 55% of the pastries hs to be croissants.

Multiply 55% by the total number of pastries to find the number of croissants.

55% * 1,800 =  990

Answer:

3x - 4y

Step-by-step explanation:

2x + -5y + x + y

Group Like terms:

2x + x + -5y + y

2x + x = 3x

-5y + y = -4y

3x - 4y

(2x + I) (2x-I) = 4x^2 + 1

Using the complex arithmetic rule:

(A + bi)(a-bi) = a^2 + b^2

A would be the 2x and b would be the i

So you would have:

(2x)^2 + (i)^2

(2x)^2 = 2x times 2x = 4x^2

i ^2 = 1

Final answer is 4x^2 + 1

Answer:

2 boxes

Step-by-step explanation:

do 16 times 2 you get 32 so there are 32 green crayons 32/9 9 times 3 is 36 which is over 32 so you cant fill 3 boxes 9 times 2 equals 27 so the answer would be she can fill 2 boxes

Answer:

We can't see the graph i can help if you insert it

Step-by-step explanation:

Answer:

0.42352941176

Step-by-step explanation:

hope this helps

The value of quotient will be 0.42.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

''4/5 divided by 17/9''

Now,

Since, The expression is,

''4/5 divided by 17/9''

Hence, After solving we get;

⇒ 4/5 ÷ 17/9

⇒ 4/5 × 9/17

⇒ 36/85

⇒ 0.42

Thus, The value of quotient = 0.42

Learn more about the divide visit:

brainly.com/question/844312

#SPJ2

Answer:

I can assure you, that this is not that hard. but. I will help you with one of them.

Step-by-step explanation:

audience-look it up in the dictionary

it's basically a crowd of people.

sebtence- I listened to the audio of the audio book.

Answer:

X∈[tex]\frac{5}{63}, -\frac{23}{63}[/tex]

Step-by-step explanation:

Answer:  11.71 meters per second.

PLZ CORRECT ME IF I AM WRONG thxs and have a lovely day :)

Step-by-step explanation:

Step-by-step explanation:

y = 3 is a horizontal line. A line that is parallel would also have the general equation y = c.

Since it passes through (-2, -8) with y-coordinate -8, the line equation is y = -8. (C)

Answer: 0.643

Step-by-step explanation:

There are 300 people and 193 were female.

The sample portion that is female is therefore;

= 193/300

= 0.643

Answer:

x° = 36°, y° = 36°, z° = 72°

Step-by-step explanation:

Each interior angle of a regular polygon is given by the following formula;

Interior angle = (n - 2)×180°/n

Where;

n = The number of sides on the polygon

For the pentagon, we have;

n = 5, therefore;

Interior angle = (5 - 2)×180°/5 = 108°

ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;

∠ADC = ∠DAC = x°, and ∠ACD = 108°

Therefore

x° = (180° - 108°)/2 = 36°

x° = 36°

∠BAC = 2·x° + y° = 108°

∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°

y° = 36°

ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each

Therefore, in ΔADE, we have;

z° = (180° - 36°)/2 = 72°

z° = 72°

500 kg x 90% = 500x 0.9 = 450 kg of Steel is needed.

450 kg x 98% = 450 x 0.98 = 441 kg of iron needed.

450 x 0.02 = 9 kg of carbon is needed for the steel.

50 kg of chromium is needed.

Chromium is 10% carbon, 50x 0.1 = 5 kg of carbon is needed for the chromium.

Total iron = 441 kg

Total carbon = 9 + 5 = 14 kg

Total chromium = 50 kg

Answer:

790

Step-by-step explanation:

You put 5 instead of x and you calculat

6*5^3 +8*5= 750+40=790

Answer:

72

Step-by-step explanation:

mean=average. to get average, you add up the numbers and divide by how many numbers. they add upp to 288 and since theres 4 test grades, divide by 4 to get 72.

i think the answer is 579

Answer:

B

Step-by-step explanation:

The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.

Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.

Answer:

Step-by-step explanation:

The table that represents this would have to be an inverse table where the higher the value of x increases the more the value of y decreases. That is because the more apps that he purchases the more money he spends which therefore decreases his remaining balance. Therefore the following table would represent this situation...

 x                y

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

 1            35.00

 2           33.25

 3            31.50

 4            29.75

 5            28.00

 6            26.25

 7            24.50

 8            22.75

and so on...

Answer:

How many students can fit in a bus? 34

Answer:

You can fit 34 students on a bus

Step-by-step explanation:

Hope this helps...

Answer:

x=9,30............etc

Step-by-step explanation:

if value of x=9 then

the function

value of f(x)=4

if x=30 then value of function f(x)=27

Answer:

The y-intercept represents the amount of money raised by the carwash.

The graph has a y-intercept

Step-by-step explanation:

Most reasonable, and not only that it's true bc it's shown on the graph label. :)