The diagonal of a square is 8 cm. What is the length of the side of this square? Give your answer as an exact surd in its simplest form.

Answer:

                                                   inequality sign to opposite one

b ≤ - 19/14  and the answer choices B, C and D are all correct as are less than -19/14

A. 140 is the only one incorrect

Answer:

90π sq cm

Step-by-step explanation:

2πrh = 2π(5)(9) = 90π sq cm

If we have line segment AB, and point C is somewhere on AB, then AC+CB = AB through the segment addition postulate.

This is the idea where basically we can glue together two straight lines to form a longer straight line. Or we can go in reverse to break up a line into smaller parts.

Answer:

Step-by-step explanation:

Given the functions  f(x) =  3x² + 4 and g(x) = 2x − 3, to know that statements that is  true about f+g, we will need to add the functions together first.

f(x)+g(x) = 3x² + 4 + 2x - 3

f(x)+g(x) = 3x²+2x +4 - 3

f(x)+g(x)  = 3x²+2x + 1

The highest degree of a quadratic function is 2 and since the highest degree of the resulting function is 2, hence the resulting sum of the equations is quadratic.

Also the range of the values is all real numbers because the presence of x² in the function will always return a positive value greater than x.

Hence the correct statements are 'the range is all real numbers and it is a quadratic function'

Answer:

B AND D

Step-by-step explanation:

Answer:

[tex]\boxed{y=-2x+25}[/tex]

Step-by-step explanation:

First, subtract 4x from both sides of the equation to put into slope-intercept form (y = mx + b). Then, divide by 2 to isolate the y.

4x + 2y = 50

2y = -4x + 50

y = -2x + 25

Answer:

[tex]y=-2x+25[/tex]

Step-by-step explanation:

To find the slope-intercept form of the equation, we just need to isolate the y-variable.

So we have the equation:

[tex]4x+2y=50[/tex]

First, subtract 4x from both sides. The 4xs on the left cancel:

[tex](4x+2y)-4x=50-4x\\2y=-4x+50[/tex]

Now, divide both sides by 2. The 2s on the left cancel:

[tex]\frac{2y}{2}=\frac{-4x+50}{2} \\y=\frac{-4x+50}{2}[/tex]

Simplify the right side. Expand the fraction:

[tex]y=\frac{-4x}{2}+\frac{50}{2} \\[/tex]

Cancel out the terms:

[tex]y=-2x+25[/tex]

Therefore, the slope-intercept form is:

[tex]y=-2x+25[/tex]

Let x = weight and y = height. It is possible to have a certain weight correspond to multiple heights. This means the input x has multiple output y values. Therefore, we cannot have a function here. A function is only possible if for any x input, there is exactly one y output. The x value must be in the domain.

Answer:

18 ounces

Step-by-step explanation:

The expected mean is the average amount

Since the average amount is 18 ounces, we should expect 18 ounces

Answer:

18 ounces

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

The minimum is at the vertex (- 3, 1 ), that is y = 1

Since the graph is a minimum then it opens vertically up U

The range of the values of y are therefore

range [ 1, ∞ )

Answer:

Graph would be nice.

Step-by-step explanation:

Answer:

missions-24

recreation-108

savings-144

school supplies-48

tithe-36

Step-by-step explanation:

so first convert all the given costs to cents by multiplying each amount with 100 then add all of them to get the total as 600

in a pie chart we know that it's a circle and all angles within the circle must add up to 360 so to get an angle for a certain cost that will represent it in the chart you have to take that cost over the total to get the fraction of the circle it will occupy multiplied by 360 to get it in degrees or which portion of 360 will it occupy hence

60/600×360=36

Answer:

[tex]\frac{7-c}{b}[/tex]

Answer:

[tex]\frac{7 -c}{b}[/tex]

Step-by-step explanation:

Subtract c from 7 : 7 - c

Then the result is divide by b :  [tex]\frac{7 -c}{b}[/tex]

Answer:

.6

Step-by-step explanation:

First find < ABC

Since this is a right triangle, we can use trig functions

tan < ABC = opp / adj

tan < ABC = 2/4

Take the inverse tan of each side

tan ^-1 tan < ABC =  tan ^-1 2/4

< ABC = 26.56505118

Multiply by 2

53.13010235

Take the cos

cos (53.13010235)

.6

The ratio 3:4 means for every 3 pounds made in away team tickets versus home team tickets. Multiply both sides by 9000 to have that 4 turn into 36000. The ratio 3:4 will then turn into 27000:36000

With this new ratio, we see that the away team pulls in 27000 and the home team pulls in 36000. Add the two amounts to get the final answer

27000+36000 = 63000

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

We could alternatively add 3 and 4 (from the ratio 3:4) to get 3+4 = 7. Then multiply by that same scale factor 9000 getting 9000*7 = 63000.

Answer:

250S + 600L > 4000

240S + 700L > 5000

Step-by-step explanation:

It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti, and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.

Friedrich is a chef who wants to make spaghetti and lasagna using more than 4000 g of pasta and more than 5000 ml of sauce.

Let S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

Write an inequality that represents the condition based on the number of grams of pasta.

Write an inequality that represents the condition based on the number of milliliters of sauce.

Scenario 1: Pasta

The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.

S =the number of batches of spaghetti he makes

L =the number of batches of lasagna he makes.

We have, inequality based on the number of grams of pasta

250S + 600L > 4000

Scenario 2: Sauce

chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.

S= the number of batches of spaghetti he makes

L= the number of batches of lasagna he makes.

We have, inequality based on the number of milliliters of sauce

240S + 700L > 5000

The two inequalities are:

250S + 600L > 4000

240S + 700L > 5000

Answer:

589 yards

Step-by-step explanation:

This is a question that requires the use of trigonometric functions.

The trigonometric function to be used here is the tangent function.

tan θ = Opposite side/ Adjacent side

In the question, we are told

Your friend walks 245 yards due west from your position = Opposite side

Your friend's takes a bearing on the cabin of N 22.6° = θ

Your distance from the cabin = Adjacent side

Hence,

tan 22.6 ° = 245/ Adjacent side

Cross Multiply

Adjacent side = 245/ tan 22.6°

Adjacent side = 588.57469726 yards.

Therefore, your distance from the cabin approximately to the nearest yard(whole number) = 589 yards

Answer:

Step-by-step explanation:

Base is right triangle, so:

B = ¹/₂•4•6 = 12 mm²

H = 7 mm

V = ¹/₃•B•H

V = ¹/₃•12•7 = 4•7 = 28 mm³

Answer:

V=28 mm³

Step-by-step explanation:

V= volume of the pyramide

G = square of the triangle

h = high of the pyramide

V = 1/3 * G* h

G=1/2 *a*b

G = 1/2 * 6 * 4

G = 12

V= 1/3 *12*7

V=28 mm³

Answer:

Step-by-step explanation:

First of all AD is 9 units long. Anything less than or equal to 9 is not an answer because the scale factor is greater than 1. That means that anything over 9 will work.

So the answer must be 12 or 15 from those answers given.

Answer:

Answer

Step-by-step explanation:

The answer is 12 AND 15

D and E

Answer:

5(12 : 3) -8

Step-by-step explanation

when you solve the first half of the equation you get 1.

so 9-1 is 8.

Answer:

See Explanation Section

Step-by-step explanation:

Given

A base 5 numbering system: Envision

Some of the rules are as follows:

3 digit examples

1

Base 5: 100

Base 10: 25 (See calculation below)

[tex]1 * 5^2 + 0 * 5^1 + 0 * 5^0 = 1 * 25 + 0 + 0 = 25[/tex]

Base 2: 11001 (See calculation below)

[tex]25 / 2 = 12\ R\ 1[/tex]

[tex]12 / 2 = 6\ R\ 0[/tex]

[tex]6 / 2 = 3\ R\ 0[/tex]

[tex]3 / 2 = 1\ R\ 1[/tex]

[tex]1 / 2 = 0\ R\ 1[/tex]

Writing the remainder from bottom: 11001

Using the same steps as used in (1) above

2.

Base 5: 211

Base 10: 56

Base 2: 111000

3.

Base 5: 441

Base 10: 121

Base 2: 1111001

4.

Base 5: 230

Base 10: 65

Base 2: 1000001

5.

Base 5: 342

Base 10: 97

Base 2: 1100001

6.

Base 5: 141

Base 10: 46

Base 2: 101110

Answer:

A. Total weight of the fruits is 2.25 kg

B. There are no more fruits left.

Step-by-step explanation:

A.

To get the total weight of the fruits, we will first of all have to sort out the fruits and multiply the weight of the fruits by the number available.

Weight of apples:

we have one 1apple weighing 1/2 kg. The weight will be 1 |X 1/2 = 1/2 kg

Weight of mangoes:

We have five mangoes weighing 1/4 kg. Total weight will be 5 X 1/4 = 5/4 kg

Weight of oranges:

We have one orange weighing 1/2 kg. Total weight will be 1X 1/2 = 1/2 kg

Total weight of the fruits will be total weight of Mangoes + oranges + apples

= 1/2 + 5/4 + 1/2 = 2.25kg

B.

If her family begins to eat off some portions of the fruits, we will have to calculate the sum total of all the weights of fruits eaten

The portion eaten will be 3/4 + (2 X 1/2) + 1/2 = 2.25kg

If this happens the family would have eaten all of the fruits because

the original weight present is only 2.25kg of fruits to start with

Answer:

convert into a whole number 6

Answer:

10

Step-by-step explanation:

d is the variable for distance

√(0−8)2+(−3−3)2=

√(−8)2+(−6)2=

√64+36=

√100=

10

Answer:

10

Step-by-step explanation:

Answer:

a. 5 n/p o 1 p/ 5n

b. 1720 autos asia/3060 autos, o 1320 autos USA/3060 autos

Step-by-step explanation:

Se entiende como razón a la fracción que compara dos elementos entre sí.

Por ejemplo en una clase de 24 alumnos donde 15 son mujeres y 9 son varones, podemos decir que:

- Por cada 15 mujeres hay 9 varones 9/15

- Por cada 9 varones hay 15 mujeres, 15/9

Para el ejercicio a. nos cuentan que 1 pelota es utilizada cada 5 niños, por lo que la razón la podemos escribir como 1/5, 1 pelota cada 5 o directamente 5, ya que por cada 5 alumnos, tenemos 1 pelota.

El ejercicio b es más fácil: ya tenemos el total de autos, 3060. Entonces:

- Cada 3060 autos, 1720 son asiáticos

- Cada 3060 autos, 1320, son americanos

Answer:

That is correct good jiob

Step-by-step explanation:

Answer:

First should get $220, other two should get $140 each.

Step-by-step explanation:

The ratio of hours the friends worked is 11:7:7. Say that they are paid 11x, 7x, and 7x respectively, therefore:

11x + 7x + 7x = 500

25x = 500

x = 20 so the first friend should get 11 * 20 = $220 and the other two should get 20 * 7 = $140 each.

Answer:

120 pounds

Step-by-step explanation:

We can use systems of equations to solve this problem. Assuming j is Jim's weight and b is Bob's weight, the equations are:

j + b = 180

b - j = 1/2b

Let's get b - j = 1/2b into standard form (b, then j, then the equal sign, then the constant.)

[tex]b - j = \frac{b}{2}\\\frac{b}{2} - j = 0[/tex]

Now we can solve using the process of elimination.

[tex]b + j = 180\\\\\frac{b}{2} - j = 0\\\\b + \frac{b}{2} = 180\\\\b + b \cdot 2 = 180\cdot 2\\3b = 360\\b = 120[/tex]

Now we know how much Bob weighs, for fun, let's find Jim's weight by substituting into the equation.

[tex]120 + j = 180\\j = 180-120\\j = 60[/tex]

So Bob weighs 120 pounds and Jim weight 60 pounds.

Hope this helped!

Answer:

Bob weighs 120 pounds

Step-by-step explanation:

Our first equation will be J(Jim) + B(Bob) = 180 pounds. Our second equation will be 2J = B because it says " if you subtract Jim's weight from Bob's weight, you get half of Bob's weight." This is basically saying that Jim is half of Bob's weight. So that's why our second equation is 2J=B. In our first equation, J+b=180, if we substitute b for 2J, our second equation, then we get the equation 3J = 180. After dividing 3 from both sides, we get j=60. Since Bob weighs twice as much as Jim, his weight will be 120. Now if we want to double-check, we can substitute Jim and Bob's weight for all of the equations.  

1) 60 + 120 = 180                This equation is correct

2) 2(60) = 120                     This is correct because 2 times 60 equals to 120

3) 3(60) = 180                     This is correct because 60 times 3 equals to 180

Answer:

£22.40

Step-by-step explanation:

60% of 12 is 7.2 (you can also write it as 7.20) so you times that by 2 to get 14.4 (you can also write it as 14.40) and [tex]\frac{1}{3}[/tex] of 24 is 8, so you add that to the 14.4 and you get 22.4 (also writen as 22.4) hope this helps!

Answer:

Step-by-step explanation:

So we know that there are 213 oranges and Theresa fills each bag with 3 oranges, so we can represent each bag as 3x. She keeps filling until she reaches 51 oranges.

First. let's write this as an equation, She is starting with 213 oranges and filling x bags with 3 oranges to the point she has less than 51 oranges.

213 - 3x < 51

Now add 3x to both sides,

213 - 3x + 3x < 51 + 3x

213 < 51 + 3x

Now we subtract 51 from both sides,

213 - 51 < 51 - 51 + 3x

162 < 3x

Now we divide both sides by 3,

162/3 < 3x/3

We find the answer,

54 < x

x > 54 bags

Answer:

x² + (y - 2)² = 144

Step-by-step explanation:

Standard equation of a circle is given by,

(x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle and 'r' is the radius.

If the center of the circle is (0, -2) and radius 'r' = 12 units

Equation of the circle will be,

(x - 0)² + (y + 2)² = (12)²

x² + (y - 2)² = 144

Therefore, equation of the circle will be,

x² + (y - 2)² = 144

Answer:

[tex]\boxed{81}[/tex]

Step-by-step explanation:

9 raised to 2 is

=> [tex]9^2[/tex]

=> 9 * 9

=> 81