On the grid below, draw a right triangle with vertices at E (2,2), F(2,8), and G(10,8). Find the lengths of these three sides. If necessary, round to the nearest tenth

Answer:

(y-6)/(4+r)=x

Step-by-step explanation:

y=4x+rx+6

y-6=4x+rx

y-6=x(4+r)

divide both sides by (4+r)

(y-6)/(4+r)=x

The reference angle for t = -7π/4 is π/4.

To find the reference angle for a given angle t, we need to determine the acute angle between the terminal side of t and the x-axis. Here, t = -7π/4.

Start by representing the angle t = -7π/4 on the coordinate plane. Since the coefficient of π is negative, the terminal side of the angle will rotate clockwise from the positive x-axis.

To determine the reference angle, we need to find the acute angle formed by the terminal side and the x-axis. Since the negative angle t = -7π/4 rotates clockwise, we can find the equivalent positive angle by adding 2π (or 8π/4) to it.

-7π/4 + 8π/4 = π/4

Therefore, the equivalent positive angle is π/4.

Now, we can visualize the angle π/4 on the coordinate plane. The terminal side of π/4 will rotate counterclockwise from the positive x-axis.

The reference angle is the acute angle formed by the terminal side of π/4 and the x-axis. In this case, the reference angle is π/4 itself.

Hence, the reference angle for t = -7π/4 is π/4.

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Answer:

BA=BC

Step-by-step explanation:

Answer:

See Below

Step-by-step explanation:

Making $250/week in salary and 10% of the $975 in sales.

First find what 10% of $975 equals.  The decimal equivalent of 10% is 0.10

So multiply the decimal and total sales.

0.10 x 975 = 97.5

Her weekly salary plus the commission would be:

$250 + $97.50 = 347.50

If you don't know her sales for the week, you can use X to represent the sales.  The equation would be:

0.10x   +   250  =  y       where y is her total pay.

Answer:

Integers

Step-by-step explanation:

The correct option to choose is the integers option. Integers are simply whole numbers.

Thus-18/6 = -3

The term -3 is a whole number

So the term to choose is the integers option

The smallest set of real numbers that contains the value -18 /6 is an integer.

The smallest set of the real number that contains the value -18/6 can be determined after we have simplified the expression -18/6.

To simply the given expression, we will divide both the numerator and the denominator by 6, by doing so, we have:

= -3

Now, the smallest set of the real number is = -3 which is an integer

This is because an integer is a whole number that is not a fraction and can be negative or positive.

The reason why it is not a natural number is because of the negative sign, since we know that natural numbers are numbers with positive signs only.

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The volume of the material in the cracker is

(volume of the outer cylinder) minus (volume of the cylindrical hole)

The volume of any cylinder is

V =  (π) (radius)² (length)

For the outer cylinder:

V =  (π) (8 mm)² (18 mm)

For the cylindrical hole:

V = (π) (4 mm)² (18 mm)

The solid material in the whole cracker:

V =  (π) (8 mm)² (18 mm)  -  (π) (4 mm)² (18 mm)

V = (π) (18mm) {(8 mm)² - (4 mm)²}

V = (18π mm) (48 mm²)

V = (18π · 48) mm³

V = 2,714.3 mm³

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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Answer:

3(10 × 14) cause its basically telling you to multiply

Answer:

Hello, I took that test and got A: The pie chart breaks information into easy-to-read chunks.

Step-by-step explanation:

It makes the most sense and i got it correct trust me. The person above also got it right.

A:Yes,  The pie chart breaks information into easy-to-read chunks.

B: No, he pie chart is more appealing to auditory learners.

C: No,  The pie chart offers more information than the text.

D: No,  The pie chart provides no advantages over the written text.

Answer:

The pie chart breaks information into easy-to-read chunks.

Step-by-step explanation:

The 875 times smaller is 4 x 10−7 than 3.5 x 10−4.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the two quantities 4 x 10−7 and 3.5 x 10−4

Now, if we divide this then

⇒ (3.5 x 10−4)/(4 x 10−7)

⇒ (35/40) × 10³

⇒ 875

Hence "The 875 times smaller is 4 x 10−7 than 3.5 x 10−4".

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Answer:

B. 875

Step-by-step explanation:

Hope this helped

Answer:

£780

Step-by-step explanation:

as its a decrease

we subtract 35 from 100 to get 65

we then divide 65 by 100

to get 0.65

then we do 0.65*1200

to get the answer of $780

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%. The sale price of the bed is $780.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the normal price of a bed is $1200. Therefore, the sale price of the bed is,

Sale Price = $1200 × (100% - 35%)

                 = $1200 × 65%

                 = $780

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ok

I'll calculate the surface area to answer your question.

Area of the base and top = 2x20x7 = 280 in^2

Area of the frontal and behind faces = 2 x 7x7.5 = 105 in^2

Area of the left and right faces = 2x20x7.5 = 300 in^2

Total area = 280 + 105 + 300

= 685 in^2

The amount of wood needed is 685 in^2

The equation is b1 = 2Ah - b2

Note that the subject of formula is described as the variable that is made to stand alone on one of the equality sign.

From the information given, we have the equation as;

A = 1/2h(b1+ b2)

Such that the parameters are;

Now, make B1, the subject of formula;

cross multiply the values

2Ah = (b1+ b2)

collect the like terms

b1 = 2Ah - b2

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Answer:

\((b)\\\tan x, \cot x\)

Step-by-step explanation:

Given

trigonometric function is

\(\dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}\)

Applying trigonometric formulae

\(\Rightarrow \cos C-\cos D=-\sin (\dfrac{C+D}{2})\sin (\dfrac{C-D}{2})\\\\\Rightarrow \sin C+\sin D=\sin (\dfrac{C+D}{2})\cos (\dfrac{C-D}{2})\)

\(\Rightarrow \dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}=\dfrac{2\sin 3x\cdot \sin x}{2\sin 3x\cdot \cos x}\\\\\Rightarrow \dfrac{\sin x}{\cos x}=\tan x\)

option (b) is correct

\(\Rightarrow \dfrac{\cos 2x+\cos 4x}{\sin 2x-\sin 4x}=\dfrac{2\cos 3x\cdot \cos x}{2\cos 3x\cdot \sin (-x)}=-\cot x\)

It is true that one method of conducting a survey involves selecting a sampling of a representative group of people. This is called survey sampling.

Survey sampling is defined as a statistical method that involves selecting and surveying individuals from a particular group of people. The population that is chosen to survey could be based on a range of attributes. The target audience could be a general group like the United States' population or a more specific group, like young adults, voters in California, or male pet owners from New England.

Survey sampling involves three steps, which are:

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Answer:

cuz they are chairs

Step-by-step explanation:

Answer:

Chairs have legs so we would not fall.

Step-by-step explanation:

Answer:

Part A: Factor out the GCF. In this case, the GCF is 2y. So it looks like

2 x^3 * y+18xy-10 x^2 * y-90y=2y (x^3 - 5 x^2 + 9x-45)

Part B: The result from above will need to be factored by grouping.

Part C: If you switch the terms, the factoring will work out differently, but at the end, the factorization will be the same.

Step-by-step explanation:

Answer:

5x + 10

Step-by-step explanation:

When you distribute, you take 5 and multiply it separately:

5(x) + 5(2) -- > you distribute the 5 to other elements of the equation

Answer:

Multiple 5 by the letter and numbers in brackets then divided by 5to give us 2

The value of x from the figure is 30 degrees

Parallel lines are lines that have the same slope and have 0 degrees as the angle between them.

The sum of angle 5 and angle 6 are supplementary. Hence;

m<5 + m<6 = 180

3x - 33 + 123 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

Divide both sides by 3

3x/3 = 90/3

x = 30

Hence the value of x from the figure is 30 degrees

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Answer:

x= - 23/4

Step-by-step explanation:

Add  9  to both sides of the equation:

3x -9 = 7x +14

3x- 9 + 9 = 7x +14 +9

Simplify:

3x -9 + 9 = 7x +14 +9

3x = 7x +14 +9

3x =7x +14 +9

Subtract 7x from both sides of the equation:

3x= 7x +23

3x -7x = 7x +23 - 7x

Simplify Again:

3x -7x = 7x +23 -7x

-4x =23

Combine like terms:

-4x =23

Divide both sides of the equation by the same terms:

14x/ 14  = 23/ -4

Cancel terms that are both the numerator and the denominator:

x= - 23/- 4

Answer:

x= - 23/4

The object will first reach an altitude of 51,000 feet approximately 199.24 seconds after it is propelled upward.

To find the time it takes for the object to reach an altitude of 51,000 feet, we need to set the height equation equal to 51,000 and solve for time (t):

\(s = 3200t - 16t^2\\51,000 = 3200t - 16t^2\)

To solve this quadratic equation, we rearrange it to the standard form:

16t^2 - 3200t + 51,000 = 0

Next, we can either factorize or use the quadratic formula. Let's use the quadratic formula:

\(t = (-b \pm \sqrt(b^2 - 4ac)) / (2a)\)

Plugging in the values from the equation:

\(t = (-(-3200) \pm \sqrt((-3200)^2 - 4(16)(51,000))) / (2(16))\)

Simplifying:

\(t = (3200 \pm \sqrt(10,240,000 - 32,640)) / 32\\t = (3200 \pm \sqrt10,207,360) / 32\\t = (3200 \pm 3,195.80) / 32\)

Now we solve for the two possible values of t:

t₁ = (3200 + 3,195.80) / 32 ≈ 199.24

t₂ = (3200 - 3,195.80) / 32 ≈ 0.05

The negative value of t₂ is not physically meaningful in this context, so we discard it.

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Answer:

A) 5 L + 3 O = 3.50

B) 2 L + 4 O = 2.10

Multiplying B) by -2.5

B) -5L -10 O = -5.25 then a adding A)

A) 5L + 3 O = 3.50

-7 O = -1.75

Oranges = .25 each

Lemons = .55 each

Step-by-step explanation:

Answer:

but i think for 1 you multiply both variables by 3......

A) (0,3) B) (6,3) C) (6,-3)

and for 2 you multiply by -1 so........

A) (0,-3) B) (1,-2) C) (4,-5)

im not 100% sure on the second one...but hey i tried right?

Domain: [-5, 1)

Range: [-4, 7)

The range and domain of the graphed function are:

Domain: [-5, 1)

Range: [-4, 7)

If a function is graphed on a coordinate plane, all values on the x-axis are the domain while those on the y-axis make up the range of the function.

In the given graphed function, the domain starts from -5 up to 1, while the range starts from -4 up to 7.

Therefore, the domain and range are:

Domain: [-5, 1)

Range: [-4, 7)

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The volume of the cone is (100)π cubic centimeters.

Given that the slant height (l) of the cone is 13 cm, and the height from the vertex to the center of the base (h) is 12 cm, we need to find the volume (V) of the cone.

To do this, we'll first need to find the radius (r) of the cone's base.
We can use the Pythagorean theorem to find the radius, since the slant height, height, and radius form a right triangle:
l² = h² + r²
Plugging in the given values:
13² = 12² + r²
169 = 144 + r²
r² = 25
r = 5 cm
Now that we have the radius, we can find the volume of the cone using the following formula:
V = (1/3)πr²h
Substitute the known values:
V = (1/3)π(5²)(12)
V = (1/3)π(25)(12)
V = (1/3)π(300).

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Answer:

I think 13 is C

Step-by-step explanation:

71+52= 123

180-123= 57

Both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².

To determine which arrangement of the four juice boxes uses the least amount of plastic wrap, we need to consider the total surface area that needs to be covered in each arrangement.

Arrangement 1:

In this arrangement, we can place the four juice boxes in a 2x2 square configuration, with two boxes stacked horizontally and two boxes stacked vertically. Let's calculate the total surface area to be covered:

Surface area of a single box = 2(lw) + 2(lh) + 2(wh)

= 2(107) + 2(105) + 2(7*5)

= 140 + 100 + 70

= 310 cm²

Since we have four boxes in this arrangement, the total surface area to be covered is:

Total surface area = 4 * 310 cm²

= 1240 cm²

Arrangement 2:

In this arrangement, we can stack the four juice boxes in a single column, one on top of the other. Let's calculate the total surface area for this arrangement:

Surface area of a single box is the same as in the previous arrangement:

Surface area of a single box = 310 cm²

Since we have four boxes stacked vertically, the total surface area to be covered is:

Total surface area = 4 * 310 cm²

= 1240 cm²

Therefore, both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².

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Answer:

17x-15 ................... I needed to put dots so I can have 20 characters

Answer:

7x-15

Step-by-step explanation: