The surface area of the triangular prism is
.

In order to evaluate consistency in studies with more than one data collector, the Inter-rater reliability is used.

This is a measure in research that is used to test the data presented by different data collectors, for consistency.

It essentially checks the extent to which the data collected from the different sources agree with each other.

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An equation is formed of two equal expressions. The given equation is not true.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The complete question is: Check whether the given equation is true or not?cos2pi/7+cos4pi/7+cos8pi/7=1/8.

To know if the given equation, [tex]cos\dfrac{2\pi}{7}+cos\dfrac{4\pi}{7}+cos\dfrac{8\pi}{7}=\dfrac18[/tex] is true or not, both the sides of the equation are needed to be solved separately.

The value of [tex]cos\dfrac{2\pi}{7}+cos\dfrac{4\pi}{7}+cos\dfrac{8\pi}{7}[/tex] when simplified is equal to -0.5, or the value can be written as -(1/2).

Since the right side of the equation is equal to -1/2, while the right side of the equation is 1/8. Thus, the given equation is not true.

Hence, the given equation is not true.

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Answer:

1/3

Step-by-step explanation:

the answer is 1/3 because the probability of landing on a 7 is 1/3 and the probability of landing on any number less than 9 is 2/3. Then, you multiply the probabilities: 1/3 * 2/3 = 2/9 = 1/3

Answer:

3,-2

Step-by-step explanation:

set y =0 and solve

(-x-2)(x-3)=0

the values 3, -2 solve the equation and are your x-intercepts

Answer:

Line A: 4

Line B: -2

Step-by-step explanation:

Line A

Pick any two points from the graph such as (2, -1) and (3, 3)

Use the gradient formula to calculate the gradient:

Change in y/change in x

-1 -3/2-3 = -4/-1 = 4

The gradient of line A is 4

Line B

(1, -1) and (0, 1)

-1 - 1/1 - 0 = -2/1 = -2

The gradient of line B is -2

Answer:

Line A is 4.

Line B is -2.

Step-by-step explanation:

See attached image

The number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

A mathematical notion called the graph of the best estimate connects points spread throughout a graph.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have shown a graph in the picture that shows the number of hamburgers cooked versus the number of potatoes chopped.

As we can see in the graph,

Number of potatoes chopped = 80

number of hamburgers cooked = 30

Number of potatoes chopped = 90

number of hamburgers cooked = 20

Number of potatoes chopped = 95

number of hamburgers cooked = 10

Number of potatoes chopped = 100

number of hamburgers cooked = 14 (best estimate)

Thus, the number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

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Answer:

eather a 5:7 or c 3:4

Step-by-step explanation:

i rlly do hope this helps and good luck

Answer:

y

Step-by-step explanation:

the value of y may be y or on the alphabetic order 25th

The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.

The corresponding sides of similar triangles have ratios that are equal to each other.

The corresponding sides and their ratios are:

4/12 = 1/3

5/15 = 1/3

Therefore, the ratio of their sides in its lowest term is:

C. 4/12 = 5/15 = 1/3

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Answer:

B

Step-by-step explanation:

right on edg3

Answer:

225 cm²

Step-by-step explanation:

dilatation factor = 3 , then

area factor = 3² = 9

the area of the dilated polygon is then 9 times the area of the original so

area of dilated polygon = 9 × 25 = 225 cm²

Answer:

x=4

Step-by-step explanation:

2x-8-x+4-6=0

or,2x-x-8+4=0

or,x-4=0

or,x=0+4

•°•x=4

ans

Answer:

x = 2 or 7

Step-by-step explanation:

(x-4)² - (x-4) - 6 = 0

x²-8x+16-x+4 -6 = 0

           x²-9x+14 = 0

           (x-2)(x-7) = 0

∴x = 2 or 7

B will be at the place of E after all three rotations. So the correct option is B.

Moving in a circular plane with respect to the fixed point is called as the rotation of the object.

If rotation maps to The three rotations for B will be

The given B after one rotation will shift in place of C

After the second rotation will shift in place of D

After the third rotation will shift in place of E

B will be at the place of E after all three rotations. So the correct option is B.

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Answer:

A

Step-by-step explanation:

I think your right!

Answer:

B

Step-by-step explanation:

I think it means the roots, at which the line crosses the x-axis, in which case, the answer is B, 0 and 1.4

X and 73 are same-side interior angles, which are supplementary (they add up to 180).

x + 73 = 180

x = 107

X and (6y - 79) are vertical angles, which are congruent (have the same measure/value.

x = 6y - 79

107 = 6y - 79

6y = 186

y = 31

Hope this helps!

Answer:

2/7

Step-by-step explanation:

there are 7 total possibilities for the keys he picks, and out of those possibilities, 2 of them are car keys. this means the probability that it is for his car is 2/7.

[tex]\huge\mathscr\color{gold}\colorbox{black}{ANSWER:}[/tex]

[tex]{\qquad\qquad\qquad}[/tex]

You can choose Options: 2/7

[tex]__________________________________[/tex]

[tex]\large\mathcal\color{gold}\colorbox{black}{STEP-BY-STEP\: EXPLANATION:}[/tex]

[tex]{\qquad\qquad\qquad}[/tex]

Will i can choose 2/7 because 7 is probability keys he picks, and 2 keys he picks for looking a drawers in office to finding.

[tex]__________________________________[/tex]

[tex]__________________________________[/tex]

[tex]\normalsize\color{brown}\boxed{☕TheQuestionner☕}[/tex]

Answer:

Step-by-step explanation:

Use trigonometry to solve for unknowns.

#1

#2

#3

Answer:

5^20

Step-by-step explanation:

since you have brackets around (5^5) you can multiply the exponents. if you think about it what you're essentially doing is

(5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) *

(5 * 5 * 5 * 5 * 5)

which is why you can multiply the exponents to simplify

Answer:

6 square units

Step-by-step explanation:

base = 4 units

height = 3 units

 [tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base*height}[/tex]

                                  [tex]\sf =\dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square units[/tex]

[tex]\Large❏ \: \large\begin{gathered} {\underline{\boxed{ \rm {\blue{Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: Base \: × \: Height }}}}}\end{gathered}[/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: Base \: × \: Height [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: 4 \: × \: 3 [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{ \cancel2} \: \times \: \cancel{4} \: ^{\green2} \: × \: 3 [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 2 \: \times \: 3[/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 6[/tex]

Hence , the area of triangle is 6 units.

Answer:

Here's a little trick I learned in 8th grade. The first numbers don't matter all that matters are the 2nd numbers, and if you have 2 of the same kind of numbers then it's not a function so your answer would be B.

Answer:

quadrant 4

Step-by-step explanation:

(2,-5) would be in the 4th quadrant

Answer: [tex]-1, \frac{4}{3}[/tex]

Step-by-step explanation:

[tex]3x^{2}-5x+6=10-4x\\\\3x^{2}-x-4=0\\ \\ (x+1)(3x-4)=0 \\ \\ x=\boxed{-1, \frac{4}{3}}[/tex]

Answer:

x = -1
x = 4/3

Step-by-step explanation:

Hello!

First, let's convert the equation into Standard Form: [tex]ax^2 + bx + c = 0[/tex]

We can solve this by factoring the quadratic. We have to find two numbers that multiply to [tex]ac[/tex] but add up to [tex]b[/tex].

The two numbers would be -4 and 3. We can expand -x to -4x + 3x, and then factor by grouping.

Use the Zero Product Property. Set each factor to zero and solve for x.

The solutions to the quadratic are -1 and 4/3.

Answer:

Mixed Number: 11 1/5

Improper Fraction: 56/5

Step-by-step explanation:

Given:

It takes 3/7 tonnes of sand to make a tonne of concrete.

Mason has 4 4/5 tonnes of sand.

To Find:

How much concrete, in tonnes, can he make?

Give your answer as a fraction in its simplest form.

Solve:

By the given , takes 3/7 tonnes of sand = tonne of concrete.

Thus, we divide the total of tonnes of sand Mason have by how many it takes to make a tonne of concrete.

Hence, we have;

[tex]4\frac{4}{5}\div \frac{3}{7}[/tex]

Convert to improper fraction;

[tex]=\frac{24}{5}\div \frac{3}{7}[/tex]

Using the fraction rule;

[tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{24}{5}\times \frac{7}{3}[/tex]

Cross-cancel common factor - 3

[tex]=\frac{8}{5}\times \frac{7}{1}[/tex]

Multiply fraction:

[tex]=\frac{56}{5}[/tex]

Convert improper to mixed number:

[tex]=11\frac{1}{5}[/tex]

Hence, the answer is [tex]\mathrm{11\frac{1}{5}\;or\;\frac{56}{5} }[/tex]

RevyBreeze

Answer:

[tex]\rm Improper \ fraction : \sf \sf \dfrac{56}{5} \ of \ concrete[/tex]

[tex]\rm Mixed \ fraction: \sf 11\dfrac{1}{5} \ of \ concrete[/tex]

Explanation:

[tex]\sf concrete = total \ tones \ of \ sand \ \div \ unit \ rate \ of \ sands \ required \ to \ make \ concrete[/tex]

Here given:

Concrete:

[tex]\sf \rightarrow 4\dfrac{4}{5} \div \dfrac{3}{7}[/tex]

[tex]\rightarrow \sf \dfrac{24}{5}\div \dfrac{3}{7}[/tex]

[tex]\rightarrow \sf \dfrac{24}{5}\times \dfrac{7}{3}[/tex]

[tex]\rightarrow \sf \dfrac{56}{5}[/tex]

[tex]\rightarrow \sf 11\dfrac{1}{5}[/tex]

Answer:

g

Step-by-step explanation:

for this function, we put in the value of "g" (because it is the cause of the function--it is the independent variable [it changes; and it doesn't rely on something else to change] )

so, because the part independently changing is the gas used, that is our input of this graph.

(you can imagine this to be a graph, which typically has the independent variable that we are directly changing--x--along the x-axis, which is where we would place g.)

hope this helps!!

The equation of the sine function will be y = -3 sin [2(x + π)] + 2. Then the correct option is A.

It is a function that repeats itself in a particular time interval.

The equation is given as

y = A sin (ωx + Ф) + C

Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.

From the graph, we have

A = -3

ω = 2

Ф = 2π

C = 2

Then we have the equation will be

y = -3 sin [2(x + π)] + 2

Then the correct option is A.

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The numeric values of the given expressions are given as follows:

1) 2.

2) -3.

We find the numeric value of an expression replacing all instances of x by the number.

The expression 1 is:

3 + x + (-7) = 3 + x - 7 = x - 4.

When x = 6, the value is:

x - 4 = 6 - 4 = 2.

The expression 2 is:

x + (-5) + 5 = x - 5 + 5 = x.

Hence, when x = -3, the value is:

x = -3.

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The simplification of the given algebra we see is; 9 + 3((a√a + a - a + √a)/(a - 1)) - ³/₂₀((√5 - 5)(a - 5√a)) - (a² - 4a√a - 5a)/((√a + 1)*√5 + 5))

We are given the algebra expression;

A = [3 + ((a + √a)/(√a + 1))][3 - ((a - 5√a)/(√5 + 5))]

When we multiply out, we will get;

9 + 3((a + √a)/(√a + 1)) - 3((a - 5√a)/(√5 + 5)) - [((a + √a)/(√a + 1)) * ((a - 5√a)/(√5 + 5))]

⇒ 9 + 3((a√a + a - a + √a)/(a - 1)) - ³/₂₀((√5 - 5)(a - 5√a)) - (a² - 4a√a - 5a)/((√a + 1)*√5 + 5))

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Step-by-step explanation:

Most standard rain gauges have a wide funnel leading into the cylinder and are calibrated so that one-tenth of an inch of rain measures one inch when it collects inside.

When a given function is written with factors in the form of ( x - r ), then r is a zero of the function.

We're given:

Therefore, the zeros of the function are 7 and -6.

-6, 7

The zeroes of the function will be equal to ( 7, -6 ).

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given function:-

As we can see that the quadratic equation in the factorized form is ( x - 7 ) ( x+ 6 ) so we will equate each factor to zero.

( x- 7 )  = 0

x = 7

( x+ 6 ) = 0

x = -6

Therefore zeroes of the function will be equal to ( 7, -6 ).

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