Calculate the size of the angle marked 'x' in the pentagon shown below. Give your answer in degrees (°).

(0.1), (2,5), (1/2,2), (-1,-1) are the points on graph.

In mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way. The relationships between two or more things are frequently represented by the points on a graph.

A graph is a type of non-linear data structure composed of nodes, also known as vertices and edges. Any two nodes, also referred to as vertices, in a graph are connected by edges. The vertex numbers in this graph are 1, 2, 3, and 5, and the edge numbers are 1, 2, 1, 3, 2, 4, and 5, respectively.

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Step-by-step explanation:

A = A02^(-t/hl) ---> ln(A/A0) = -(t/hl)ln2

solving for t,

t = -(hl)ln(A/A0)/ln2

= -(1620 yrs)×ln(8/12)/ln2

= 947.6 yrs

974.6 years It will take before it has 8 grams of radium left,

Given that,

The half-life of radium is 1620 years

Laboratory has 12 grams of radium,

We have to determine,

How long will it take before it has 8 grams of radium left.

According to the question,

Laboratory has radium = 12 grams

Left radium = 8 grams

Half life of radium [tex]_t_\frac{1}{2}[/tex] = 1620 years.

[tex]N = N_o [\frac{1}{2}]^{n} \\\\8 = 12 [\frac{1}{2}] ^{n}\\\\\frac{8}{12} } =[ \frac{1}{2} ]^{n}\\\\ log2 - log3 = n( log1 - log2)\\\\0.30-0.47 = n (0 - 0.30)\\\\-0.17 = -0.30 n\\\\n = 0.56[/tex]

It will take before it has 8 grams of radium left,

[tex]t = n \times t_\frac{1}{2} \\\\t = 0.56 \times 1620\\\\t = 974.6 \ years[/tex]

Hence, 974.6 years It will take before it has 8 grams of radium left,

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The diameter of the circle is 30 feet

To compute the diameter of the circle, we can use the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the hypotenuse is the diameter of the circle, and the other two sides are the radius and the distance between the chord and the center of the circle.

So, we can write the equation:

diameter^2 = radius^2 + (distance between chord and center)^2

We know the radius is half the diameter, so we can substitute that in:

diameter^2 = (diameter/2)^2 + (15)^2

And we can solve for the diameter:

diameter^2 = diameter^2/4 + 225

diameter^2 = diameter^2/4 + 225

4diameter^2 = diameter^2 + 900

3diameter^2 = 900

diameter^2 = 900/3

diameter = sqrt(900/3)

So the diameter of the circle is 30 feet.

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Answer:

[tex] \sqrt{a {}^{2} + b {}^{2} }[/tex]

Answer:

Correct steps given below:

Ian missed the step 3 above.

He wrongly added 91 to both sides instead of subtracting, this resulted in wrong solution.

Answer:

See below.

Step-by-step explanation:

The mistake Ian made was incorrectly distributing -(-91).  When multiplying two negative numbers the result is always positive:  [tex]-a \cdot -b=-a(-b)=ab[/tex].

This error meant he added 91 to both sides of the equation in Step 3 of his calculation, when he should subtract 91 from both sides.

Therefore, the correct calculation is:

[tex]\begin{array} { r l}511 & = -7(10x-13)\\\\511 & = -70x \phantom{)))}+91\\\\-91 & \phantom{))))))))))))} -91\\\\\cline{1-2}\\420 & = -70x\\\\\dfrac{420}{-70} & = \dfrac{-70x}{-70}\\\\-6 & = x\end{array}[/tex]

Answer:

140 bois

Step-by-step explanation:

Observe que:

1 hectare = 10000m²

Na Fazenda Santa Elisa, principal atividade da pecuária, cada hectare deve ser ocupado por 20 bois

Isso significa:

10000m² = 20 bois

O número de bois que podem ser criados no local de 70000 m² é calculado como:

10000m² = 20 bois

70000m² = x

Multiplicação cruzada

10000m² × x = 70000m² × 20 bois

x = 70000m² × 20 bois / 10000m²

x = 140 bois

Portanto, 140 bois podem ser criados em um terreno com 70000m².

Answer: There are 30 cubes in each layer and 3 layers. (Up to down.)

Explanation: You can multiply the x and y axis for one layer, and then count how many layers there are. There are 90 cubes in all.

I hope this helps, have a good day!

We can solve this equation using the distributive property. First, we will use the distributive property to multiply the 3y by 2.

The distributive property is a mathematical rule that allows you to multiply a single number by a group of numbers by multiplying the single number by each number in the group individually. This rule can be expressed in two ways. The first way is a(b + c) = ab + ac. The second way is a(b - c) = ab - ac.

This will give us 2x * 3y = 2(3y). Then, we will subtract 6 from both sides of the equation, which gives us 2x * 3y - 6 = 2(3y) - 6. We can then divide both sides of the equation by 6, which gives us 2x * 3y / 6 = 2(3y) / 6. Finally, we can divide both sides of the equation by 3y, which gives us 2x = -2. Therefore, the solution to 2x 3y = -6 is 2x = -2.

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Answer:

11 units^2

Step-by-step explanation:

We know that the area of a square is the side squared, so we can use the inverse of this formula to say the side of a square is the square root of the the area. This gives us√33 and √44 as the side lengths of the red and green squares respectively. Next, we use the pythagorean theorem to find the other side of the white right triangle, which is also a side of the blue square. So:

(√44)^2 - (√33)^2 = side^2

44 - 33 = side

side^2 = 11

side = √11

To find the area of a square, you just square the side, so we get (√11)^2 which is just 11 units^2.

Answer:

The US Consumer Price Index (CPI) increased 8.3% in the 12 months through August, with rent, food and healthcare accounting for the rise Excluding volatile food and gas prices, inflation climbed 6.3% year-on-year in July and 8.2% in September. US inflation ticked back up in August despite plunging gas prices.

citations: https://nypost.com/2022/10/13/inflation-hits-8-2-in-september-as-core-prices-surge/Step-by-step explanation:

To calculate seed number, divide the total number of inches available for crop by the in-row crop spacing. For example, 120 inches divided by one inch per pea seed equals 120 pea seeds.

In botany, a seed is an undeveloped plant embryo and food reserve encased in a protective outer covering. In a broader sense, "seed" refers to anything that can be sown, such as seed and husk or tuber.

Seeds are formed when a ripened ovule is fertilised by pollen-derived sperm, resulting in a zygote. The embryo develops from the zygote within a seed, forming a seed coat around the ovule and growing to a certain size within the mother plant before growth stops.

The formation of seeds is a stage in the reproduction of seed plants (spermatophytes). Other plants, such as ferns, mosses, and liverworts, lack seeds and must reproduce exclusively through water.

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Answer:

Y:64

X:15

Hope this helps

pls give me brainliest

Answer:

60 because their a 2 induivedinal in 1 sock.

Step-by-step explanation:

30 x 2 = 60

In two-dimensional space, only two coordinates are required to specify the location and orientation of a rigid body.

In two-dimensional space, a rigid body can only move in two directions (up/down and left/right) and rotate around a single axis. As a result, only two coordinates are needed to specify the location and orientation of a rigid body in two-dimensional space. The two coordinates needed to specify the rigid body's position are the x-coordinate and y-coordinate, which define the position of the body in the plane. The orientation of the rigid body can be determined by determining the angle between the x-axis and the body's orientation, which is referred to as the angle of rotation. The combination of these two coordinates (position and rotation) specify the full state of the rigid body in two-dimensional space.

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The approximate solutions are -0.28 and -2.28.

Now, According to the question:

Given, the equation is 4x^2 + 3 = -12x

We have to find the approximate solutions to the equation.

Using quadratic formula,

[tex]x = \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]

The equation can be written as 4x^2 + 12x + 3 = 0.

Here, a = 4, b = 12, c = 3

x = [tex]\frac{-12±\sqrt{12^2-4(4)(3)} }{2(4)}[/tex]

x = [tex]\frac{-12±\sqrt{144-48} }{8}[/tex]

x = [tex]\frac{-12±\sqrt{96} }{8}[/tex]

x = [tex]\frac{-12±9.8}{8}[/tex]

Now, x = [tex]\frac{-12+9.8}{8} =\frac{-2.2}{8}[/tex] = -0.275

x = [tex]\frac{-12-9.8}{8} =\frac{-21.8}{8}[/tex] = -2.275

Therefore, the approximate solutions are -0.28 and -2.28.

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The complete question is this :

What are the approximate solutions of 4x^2 + 3 = -12x to the nearest hundredth?

Answer:

11

Step-by-step explanation:

multiply 7 by 2, you will get 14

subtract 3 from 14 you will get 11

so the total answer is 11

Answer: 0.5

Step-by-step explanation:

Answer:

First answer: 0.5

Second answer: 0.5

Third answer: show

Step-by-step explanation:

AE is congruent to CE.We can prove by assuming two triangle in the given diagram and by using SAS rule.

If all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle then the two triangles are said to be congruent by SSS rule. In the above-given figure, AB= PQ, BC = QR and AC=PR, hence Δ ABC ≅ Δ PQR.

Alternate angles are angles that occur on opposite sides of the transversal line. If two parallel lines are cut by a transversal then the alternate angles are equal.The pair of angles formed on the inner side of the parallel lines but on the opposite sides of the transversal are called alternate interior angles.

Now we have

Given a triangle ABC.Where E is the midpoint of AC. We have to prove that AE is congruent to CE.

In ΔAED and ΔCED

ED=ED              (∵Common side are equal)

∠AED=∠CED       (∵Alternate angles)

∠A=∠C        (∵Alternate angles)

By ASA rule, ΔAED≅ΔCED

By Corresponding Parts of Congruent triangles

AE=EC

Hence, AE is conruent to CE.

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Proportion is the ratio of the two equal fractions. It compares the part of a whole to another part of another whole. Option c is the correct option which is, The test provides convincing evidence the proportion is greater than 90% but the actual proportion is equal to the 90%.

What is proportion?

proportion is the ratio of the two equal fraction. It compare the part of a whole to other part of of the another whole.

Given

Options for the following question are,

A) The test does not provide convincing evidence that the proportion is greater then 90 percent but the actual proportion is greater then 90 percent.

B) The test does not provide convincing evidence  the proportion is greater than 90% but the actual proportion is equal to the 90%.

C)The test provides convincing evidence the the proportion is greater than 90% but the actual proportion is equal to the 90%.

D)The test provides convincing evidence that the proportion is greater then 90 percent but the actual proportion is greater then 90 percent.

E) All type 1 error is not possible for this hypothesis test.

The Null Hypothesis for the given question is,

The proportion of all washers produced with the specified diameter is equal to 90 percent. The Null Hypothesis for the given case is true and actual proportion is equal to 90 percent.

Hence, option c is the correct option which is, The test provides convincing evidence tha the proportion is greater than 90% but the actual proportion is equal to the 90%.

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Answer:

8

Step-by-step explanation:

the cubed root of 8 equals 2

if you quadruple 2 (multiply it by 4), you will get 8

Answer:

When plotting points on the coordinate plane below, which point would lie on both the x-axis and the y-axis? the answer is its the origin  (0, 0)

Step-by-step explanation:

The value of x is 8 and  the measure of the two marked angles is  60°.

When an angle's vertex and side are shared by another angle, the two angles are said to be neighboring angles. The vertex of an angle is the point where the rays come to a halt and create the sides of the angle. When two adjacent angles share a vertex and a side, they can be either complimentary or supplementary angles.

we know that ,

10x-20=7x+4   (it is corresponding opposite angle)

3x=24

x=8

the value of x is 8.

the measure of the two marked angles is 10*8-20= 80°-20°= 60°.

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The number of grams of sugar that would be in a 200 ml glass of juice, given the carton, is 13. 2 grams of sugar

In a 250 ml glass of juice, we would see 16. 5 g of sugar. Given this information, we can find the amount of sugar in a 200 ml of juice by using direct proportion.

The amount of sugar in 200 ml of juice is :

= ( Amount of sugar in 250 ml x Quantity of juice ) / Quantity of base quantity of juice

= ( 16. 5 x 200 ) / 250

= 3, 300 / 250

= 13. 2 grams of sugar

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Answer:

She will buy at least 10 pounds or more.

Step-by-step explanation:

If each pound costs $4 and she is spending $40 worth, she needs to buy 10 pounds in order to spend the minimum of $40. She can buy more than 10 pounds to keep spending more money. 11, 12, 13, 14, 15, and so forth are all possible numbers in pounds she will buy.

The pair of linear equations KX − 4y = 3 and 6x − 12y = 9 have an infinite number of solutions when K = 0.

This can be shown by solving the two equations for K. Solving the first equation for K yields K = (4y/X) + 3. Substituting this into the second equation yields: 0 = (4y/X) + 3 - (12y/6x). Simplifying this yields 0 = (2y/X) - (9/6x). This equation simplifies to 0 = (2y - 9x)/X. Since the denominator of the right side of the equation is not equal to 0, the only way to get 0 = 0 is if the numerator is equal to 0 as well. This happens when 2y - 9x = 0. Since y and x are variables, the only way that this equation can be true for all values of x and y is if the coefficient of both of them is equal to 0. Thus, K = 0 is the only value for which this pair of linear equations has an infinite number of solutions.

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Answer:

1/36

Step-by-step explanation:

Since you have two six-sided die, you have 2 sets of 1-6.

Set 1: 1,2,3,4,5,6

Set 2: 1,2,3,4,5,6

Now, we need to find out how many items in the sets add up to equal a sum less than 4.

1 + 1 = 2

2 + 1 = 3

We can roll a 1 and a 1 with a 1/6 chance each.

We can also roll a 1 and a 2 with a 1/6 chance as well.

So, to get the final probability, we would multiply the two fraction together.

1/6 x 1/6 = 1/36

There is a 1/36 chance that the sum of the numbers you roll will be less than 4.

Answer:

1/36

Step-by-step explanation:

I am not a good explainer but im a genuis and when i put this as my answer for my homework i got it right