Find the measure of angle A,

Answer: One way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:

the 1/2 teaspoon measuring spoon 3 times to measure 3/2 = 1 1/2 teaspoons

and use the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons

3 1/2 + 2/3 = 3 1/6

Another way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:

the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons

and use the 1/2 teaspoon measuring spoon 6 times to measure 6 * 1/2 = 3 teaspoons

3 + 2/3 = 3 1/6

So, there are two ways to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2-teaspoon measuring spoon, one is by using 3 times 1/2 teaspoon measuring spoon and 6 times 1/3 teaspoon measuring spoon and the second one is by using 6 times 1/3 teaspoon measuring spoon and 3 times 1/2 teaspoon measuring spoon.

Step-by-step explanation:

9514 1404 393

Answer:

  342 mm²

Step-by-step explanation:

The triangle shown has a base of 9 mm and a height of 76 mm. Its area is ...

  A = 1/2bh

  A = (1/2)(9 mm)(76 mm) = 342 mm²

The triangle shown has an area of 342 mm².

_____

Additional comment

The other leg of the right triangle with one leg 76 mm and hypotenuse 100 mm will be about 65 mm. The base shown is 9 mm, so any triangle with the dimensions shown will be a fairly skinny obtuse triangle, not the acute triangle in the picture. (This makes us suspect an error: the 9 mm dimension maybe should be 90 mm.)

Answer:

5.3066m²

Step-by-step explanation:

A=πr²=π·1.3²=5.3066m²

Answer:

21.888

Step-by-step explanation:

32*1.2*1.9*0.3= 21.888

Answer:

y-4=-7/4(x+4)

Step-by-step explanation:

Point Slope Form: y-y*sub*1=m(x-x*sub*1)

Parallel lines have the same slope as the line to which they are parallel.

y-4=-7/4(x+4)

Hope this helps :)

Answer:

Okay so!

Step-by-step explanation:

33, 34, 38, 42, 47, 47, 48, 49, 51.

The median is 47 because it turns up twice.

The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.

The graph is given in the question.

As per the given line, we take two points (0, 4) and (5, 8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = 0, y₁ = 4

x₂ = 5, y₂ = 8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 4 = (8 - 4)/(5-0 )[x -0]

⇒ y - 4 = (4/5)x

⇒ y = (4/5)x + 4

The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.

So, the equation of the line would be y = (4/5)x + 4.

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Answer:

u= 2 kilometers

Step-by-step explanation:

[tex] \frac{2 \sqrt{2} }{ \sqrt{2} } = 2[/tex]

2 copies of 1/10 can be written as 2/10

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given here 2 copies of 1/10 thus 2×1/10=2/10

                                                                =1/5

Hence, 2 copies of 1/10 can be written as 2/10

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The perimeter of the new octagon be 24 feet.

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.

There are numerous uses in real life for perimeter calculations. The measurement of the fence needed to completely enclose yard or garden is called the perimeter. How far a wheel or circle will roll in one revolution is determined by its circumference, or perimeter.

The length of each side of an octagon is the same. In order to calculate the perimeter of an octagon, multiply 8 by the length of its sides.

Given that the perimeter of an octagon is 27 feet

so the length of its side is 27/8 feet

if the side of the octagon shrink by a scale factor of 8/9

The side of new octagon is (27/8) * (8/9)

The side of new octagon is 3 feet.

So the perimeter of new octagon is 8 * side

⇒ the perimeter of new octagon = 8 * 3 feet

⇒ the perimeter of new octagon = 24 feet

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Answer:

Analysis for these data will be based on a __survey__ design.

Step-by-step explanation:

A survey design is a process through which surveys are conducted to acquire enough insight about a given situation or matter of interest.  In this case, the National Park Service's interest is finding out the amount of money that visitors in the two different national parks spend.  Visitors are sampled from each park to get the required information.  The mean spends are calculated and then compared.

Answer:

x= 9

y= 3 root 3

Step-by-step explanation:

to find the shorter leg length you have: hypotenuse/2

[tex] \frac{6 \sqrt{3} }{2} = 3 \sqrt{3} [/tex]

to find the longer leg length you have: shorter leg × root 3

[tex]3 \sqrt{3} \times \sqrt{3} = 3 \sqrt{9 } = 3(3) = 9[/tex]

Answer:

x=6, y=-2. (6, -2).

Step-by-step explanation:

x+y=4

x-y=8

----------

2x=12

x=12/2

x=6

6+y=4

y=4-6

y=-2

Answer:

are there any other information

Answer:

are the values of a or b given?

Step-by-step explanation:

Answer shown in bold

The non-bolded values to the left are not to be typed in the answer box. They're present to keep track of the values. In other words, you'll type "40" without quotes into the first box, then "19" without quotes in the second box, and so on.

========================================================

Explanations:

Let me know if you have any questions.

Answer: C

Step-by-step explanation: it says that it's smaller or equal to x and x is smaller than 17

Given:

D varies as R and S, and inversely as t.

D=12, R=3, S=20, and t=5

To find:

The value of D when R=15, S=4 and t=8.

Solution:

It is given that D varies as R and S, and inversely as t. So,

[tex]D\propto \dfrac{RS}{t}[/tex]

[tex]D=\dfrac{kRS}{t}[/tex]                ...(i)

Where, k is the constant of proportionality.

We have, D=12, R=3, S=20, and t=5. Substituting these values in (i), we get

[tex]12=\dfrac{k(3)(20)}{5}[/tex]

[tex]12=12k[/tex]

[tex]\dfrac{12}{12}=k[/tex]

[tex]1=k[/tex]

Substituting [tex]k=1[/tex] in (i), we get the required equation.

[tex]D=\dfrac{(1)RS}{t}[/tex]

[tex]D=\dfrac{RS}{t}[/tex]

We need to find D when R=15, S=4 and t=8. Substituting R=15, S=4 and t=8 in the above equation, we get

[tex]D=\dfrac{(15)(4)}{8}[/tex]

[tex]D=\dfrac{60}{8}[/tex]

[tex]D=7.5[/tex]

Therefore, the required value of D is 7.5.

Answer:

6/7

Step-by-step explanation:

36/42 = 36:6/42:6 = 6/7

The total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].

Fractions represent the parts of a whole or collection of objects. A fraction has two parts namely numerator (upper part) and denominator (lower part).

Given is that George peels and eats 2 whole satsumas. He then splits another satsuma into 6 equal segments and eats 1 of these segments.

The total number of satsumas eated by him can be written as -

2 + 1/6

2[tex]\frac{1}{6}[/tex]

Therefore, the total number of satsumas eated by George are 2[tex]\frac{1}{6}[/tex].

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The quadratic equation 4(x² − 5) − 1 = 3 has its solutions to be are √6 and -√6

From the question, we have the following parameters that can be used in our computation:

4(x 2−5)−1=3

Express properly

This gives

4(x² − 5) − 1 = 3

Subtract -1 from both sides of the equation

So, we have the following representation

4(x² − 5) = 4

Divide both sides by 4

This gives

x² − 5 = 1

Subtract -5 from both sides of the equation

So, we have the following representation

x² = 6

Take the square root of both sides

x = ±√6

Hence, the solution is ±√6

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Answer:

do 180-36-90 and then what you get add a ° and it should be 53°

Answer:

0.76 = 76% probability that he will wait longer than 6 minutes

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

A geyser erupts every 25 minutes. A hiker has not consulted a schedule before heading to see the geyser, so the amount of time he spends waiting to see an eruption follows a uniform distribution.

This means that [tex]a = 0, b = 25[/tex]

What is the probability that he will wait longer than 6 minutes?

[tex]P(X > 6) = \frac{25 - 6}{25 - 0} = 0.76[/tex]

0.76 = 76% probability that he will wait longer than 6 minutes

Answer:

The answer would be the second and fourth options.

Step-by-step explanation:

This can be solved by using a calculator, the prime factor method, etc. Good luck on your math journey!

Step-by-step explanation:

TRY WITH SOME Trigonometric FUNCTION.

IF SOMETHING IS Wrong . I AM STILL A STUDENT

Therefore , the solution of the given problem of volume comes out to be

V =355/113 * (5)² * 7  thus correct option is V equals 355 over 113 times 6 squared times 8.

Volume, which is expressed in cubic units, is a unit of measurement for the 3-dimensional space occupied by matter or encircled by a surface. The SI unit of volume = area * height is the cubic metre (m3), which is a derived unit. A "litre" (L) is the name given to the cubic decimeter (dm3).

Here,

The volume of cylinder = πr²h

Given : Diameter = 12 inches

radius = 12/2 = 6 inches

Height = 8 inches

Thus ,

To find the volume  we put the all the above values in the formula:

=> V = πr²h

=> V = 22/7 * 6² * 8

=> V =355/113 * (6)² * 8

Therefore , the solution of the given problem of volume comes out to be

V =355/113 * (5)² * 7  thus correct option is V equals 355 over 113 times 6 squared times 8.

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Answer:

V equals 355 over 113 times 6 squared times 8.

Step-by-step explanation:

Answer:

RS = 6

Step-by-step explanation:

RS² = SU*ST (secant-tangent rule)

Substitute

(x + 6)² = (x + 4 + 5)(x + 4)

(x + 6)(x + 6) = (x + 9)(x + 4)

x(x + 6) +6(x + 6) = x(x + 4) + 9(x + 4)

x² + 6x + 6x + 36 = x² + 4x + 9x + 36

x² + 12x + 36 = x² + 13x + 36

Collect like terms

x² - x² + 12x - 13x = -36 + 36

-x = 0

x = 0

✔️RS = x + 6

Plug in the value of x

RS = 0 + 6

RS = 6

Answer: 53

Step-by-step explanation: