48 - 2C = 88 solve for C

The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

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Answer:

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

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Answer:

5

Step-by-step explanation:

\(\triangle HBK \cong \triangle NBK\) by SAS. Using CPCTC, \(3x=x+10 \implies 2x=10 \implies x=5\).

The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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541 + 279 = 820 is the number bond for the expression 540 + 280.

A number bond is a simple addition sum that has become so familiar to a child that they can recognise it and complete it almost immediately, with recall as automatic as that of an entry from a multiplication table in multiplication. Number bonds are used in the teaching of mathematics at the primary school level.

When given the other two numbers, a child who "knows" this number bond should be able to instantly fill in any one of these three numbers if it were missing, without having to "work it out." Number bonds are frequently taught in sets whose sums are common round numbers like 10 or 20.

We can find the number bond by simply adding 1 to first term and subtracting 1 from 2nd term.

540 + 280 = 820

(540 + 1) + (280 -1) = 820

541 + 279 = 820

Thus, 541 + 279 = 820 is the number bond for 540 + 280.

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f = 202

Step-by-step explanation:

\(7 \times 5f = 7070\)

\(5f = \frac{7070}{7} \)

\(5f = 1010\)

\(f = \frac{1010}{5} \)

\(f = 202\)

Verification to check the given answer is correct, then put the value of f in the given question.

\(7 \times 5(202) = 7070\)

\(35(202) = 7070\)

\(7070 = 7070\)

L.H.S. = R.H.S

\({ \green { \boxed{ \red{ \sf{f = 202}}}}}\)

Step-by-step explanation:

The given Eqⁿ is, \({ \purple{ \sf{7 \times 5f = 7070}}}\)

We need to find the value of f. So, let us cancel the numbers one by one.

First, let us cancel 7 by dividing both the sides by 7 in the given Eqⁿ.

\({ \purple{ \sf \frac{ \cancel7 \times 5f}{ \cancel7}}} = { \purple{ \sf{ \frac{ \cancel{7070} ^{ \green{ \tt{1010}}} }{ \cancel 7_{ \green{ \tt{1}}}}}}}\)

\({ \purple{ \sf{5f = 1010}}}\)

Now, let us cancel 5 by dividing both the sides by 5. then,

\({ \purple{ \sf{ \frac{ \cancel5}{ \cancel5}f}}} = { \purple{ \sf{ \frac{ \cancel{1010^{ \red{ \tt{ \: \:202}}}}}{ \cancel 5_{ \red{ \tt{1}}}}}}}\)

\({ \boxed{ \blue{ \sf{f = 202}}}}\)

Answer:

14 inches

Step-by-step explanation:

If you think about it, if you were to shift the side DC to the left until it aligns with FE, you would get a straight line. This line would be parallel, and equal to AB, which can be determined by using the right angles, which are given. So AB = FE + DC, and the value of AB is given as well as the value of DC. So plugging in the known values you get 20 = FE + 6. Now subtract 6 from both sides and you get 14 = FE. So FE is 14 inches

Answer:

Step-by-step explanation:

Please help. I just need to know what the missing side is.

from the question you are looking for EF

EF + CD = 20 in (from AB misure)

so

20 - 6 = 14 = EF

Step-by-step explanation: Answer is

(i). 19% or 14/75

(ii) 28% or 7/25

We are asked to find multiple probabilities.

We got to find the number of combinations posible,

Use the combinations formula

\(c {}^{n} _r{?} = \frac{(r + n - 1) \: fractorial).}{r \: fractorial(n - 1)fractorial} \)

For math this is read as,

if n choose r,( r+n-1)!/r!(n-1)!.

Where r is how many things we need from and n is the number of things we choose from.

We need 2 things and we have 24 objects to pick from.

So r=2 N equal=24

Which equal

25!/2!(23)!

Which equals

\(300\)

So there are 300 possible combinations.

Using

For the 1st question, Since we are given two independent events, we can just multiply the number of good articles by major.

\(14 \times 4 = 56\)

So this means the probability is

\( \frac{56}{300} = \frac{14}{75} \)

Which is 19%

For the 2nd question, the can multiply the number of minor articles by major articles.

\(6 \times 4 = 24\)

So the probability

is

\( \frac{24}{300} = \frac{8}{100} = \frac{2}{25} \)

Which is equal to 8%

The product of the monomial 4x and the polynomial 3x²y + 7xy⁴ is 12x³y + 28x²y⁴.

The product of a monomial and a polynomial is as follows:

Step 1: multiply the monomial with each term in the polynomial

Step 2: Check for any like terms, if present adds or subtract them as per their sign.

Step 3: thus, we get the product.

The given monomial is 4x and the polynomial is 3x²y + 7xy⁴.

So, their product is

4x × (3x²y + 7xy⁴) = 4x(3x²y) + 4x(7xy⁴)

⇒ (4×3)(x × x²)(y) + (4×7)(x × x)(y⁴)

⇒ 12x³y + 28x²y⁴

Since there are no like terms and do not need any further simplification, the given product is 12x³y + 28x²y⁴.

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Answer:

Cm is longer than mm

Step-by-step explanation:

Answer:

6686mm

Step-by-step explanation:

668cm=6680mm

So therefor 6686 is greater.

Hope this helps! Have a great day ahead. Tell me if im wrong :) Stay safe <3

Step-by-step explanation:

The quadratic expression f(x) = 2x^2 - 9x - 18 can be factored as (2x + 3)(x - 6). So, the missing values in the given expression (2x + [?])(x - [ ]) are 3 and 6, respectively.

Answer:

(2x + 3)(x -6)

Step-by-step explanation:

2x² -9x -18

2 × -18 = -36

Find factors of -36 which you multiply will give -36 but when same factors are added will give -9.

-12 × 3 = -36

-12 + 3 = -9

2x²-12x +3x -18

2x(x - 6) + 3(x -6)

(2x + 3)(x -6)

Answer:

198

Step-by-step explanation:

bc in a foot their are 12 in and 16 x 12 =192 and half a foot is 6in so 192+6=198

Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

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To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

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Answer:

• Considering the general equation of a line

\(y = mx + b\)

m is the gradient and b is the y-intercept.

Substitute:

\({ \underline{ \underline{ \: \: y = - 4x - 2 \: \: }}}\)

Answer:

1/2

Step-by-step explanation:

Find two points on the line

(2,0) and (4,1)

The slope is given by

m= (y2-y1)/(x2-x1)

   =(1-0)/(4-2)

   = 1/2

Answer:

89

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Rounding each number to 4 significant figures and expressing in standard notation :

(a) 102.53070,

Since the number starts with a non-zero, the 4 digits are counted from the left ;

102.53070 = 102.5 (4 significant figures) = 1.025 * 10^2

(b) 656.980,

Since the number starts with a non-zero, the 4 digits are counted from the left ; the value after the 4th significant value is greater than 5, it is rounded to 1 and added to the significant figure.

656.980 = 657.0 (4 significant figures) = 6.57 * 10^2

(c) 0.008543210,

Since number starts at 0 ; the first significant figure is the first non - zero digit ;

0.008543210 = 0.008543 (4 significant figures) = 8.543 * 10^-3

(d) 0.000257870,

Since number starts at 0 ; the first significant figure is the first non - zero digit ;

0.000257870 = 0.0002579 (4 significant figures) = 2.579 * 10^-4

(e) -0.0357202,

Since number starts at 0 ; the first significant figure is the first non - zero digit ;

-0.0357202 = - 0.03572 (4 significant figures) = - 3.572* 10^-2

Answer:

k/4+3=14

First you need to isolate the variable.

multiply both sides by 4

Answer:

5 faces

8 edges

5 vertices

Answer:

you need to show or tell us the problem for us to be able to help you

Step-by-step explanation:

:/

Answer:

um

Step-by-step explanation:

can u show us the question bc we can't help if there's no question

Answer:

I wish I can read all the text

If the equation is cos x = x^3, the interval of length 0.01 that contains a root is [0.86, 0.87]

The given equation is

cos x = x^3

Move the term x^3 to the left hand side of the equation

cos x - x^3 = 0

Therefore the equation will be

f(x) = cos x - x^3

Here to find the interval of length 0.01 that contains a root, we have to use the intermediate value theorem

Plot the function in the graph

From the graph, we can see that the value of

x = 0.865

The interval of length = 0.01

Then the intervals will be 0.86 and 0.87

Therefore, the interval of length 0.01 that contains a root will be [0.86, 0.87]

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The value of the third quartile was then found to be 4.0, which is the 12th entry in the ordered data.

below is a stem and leaf plot of the magnitude of earthquakes on sept. 4th, 2012 in the philippine islands region. this data was collected by the general social survey. find the third quartile.

Stem|Leaf

2 | 0 2 3 6 8 9

3 | 0 1 3 4 6 7 8

4 | 0 1 2 4 5

Third Quartile = 4.0

Step 1: Order the data from least to greatest:

2.0, 2.3, 2.6, 2.8, 2.9, 3.0, 3.1, 3.3, 3.4, 3.6, 3.7, 3.8, 4.0, 4.1, 4.2, 4.4, 4.5

Step 2: Count the data points:

There are 16 data points.

Step 3: Calculate the index of the third quartile:

Index of third quartile = (3/4) x (16) = 12

Step 4: Find the value of the third quartile:

The value of the third quartile is the 12th entry in the ordered data, which is 4.0.

The third quartile of the magnitude of earthquakes in the Philippine Islands region on September 4th, 2012 is 4.0. This data was collected by the General Social Survey. To calculate the third quartile, the data points were ordered from least to greatest and the index of the third quartile was calculated. The value of the third quartile was then found to be 4.0, which is the 12th entry in the ordered data.

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