fill in the correct angle

Answer:

≈0.694 or rounded to 0.7

Step-by-step explanation:

4.06/5.85≈0.694

Not all intersecting lines are perpendicular.

Perpendicular lines require a 90-degree angle of intersection, creating the formation of right angles.

Nonetheless, unlike perpendicular lines that necessitate exactly 90 degrees of intersections, other types of driven lines can be at varying angles beside these.

As such, it is critical to highlight that in general intersecting lines come with different angles of intersection, and only those featuring exact 90-degree angle of intersection become normal cases of intersecting lines, becoming one among many subtypes existing today.

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Sadie's total weekly sales in the last week were $625.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Sadie earns a 20 percent commission on sales at a hair salon.

Let, 'x' be her total weekly sales.

Therefore, $125 is 20% of 'x' which can be numerically expressed as,

(20/100)×x = 125.

0.2x = 125.

x = 125/0.2.

x = 625.

So, her weekly sale was $625.

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This value is approximate since pi = 3.14 is approximate.

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

Work Shown:

r = radius = diameter/2 = 20/2 = 10 inches

L = slant height = 40 inches

SA = surface area of the cone

\(\text{SA} = \pi*r^2 + \pi*r*L\\\\\text{SA} = \pi*10^2 + \pi*10*40\\\\\text{SA} = \pi*100 + \pi*400\\\\\text{SA} = 100\pi + 400\pi\\\\\text{SA} = (100+400)\pi\\\\\text{SA} = 500\pi \text{ ... exact surface area in terms of pi}\\\\\text{SA} \approx 500*3.14\\\\\text{SA} \approx 1570\\\\\)

The surface area of the cone is approximately 1570 square inches.

We can abbreviate "square inches" into \(\text{in}^2\)

If you want to get a more accurate surface area value, then use more decimal digits of pi.

The measures of the angles are given as A' = 103, B' =100, c' = 80, D' = 77

∠x

125 + ∠x = 180 (angle on a straight line)

∠x = 55 degrees

∠y

∠x + ∠y + 48 = 180 angles in a triangle

55 + ∠y + 48 = 180

∠y = 77 degrees

∠D

∠d = ∠Y vertically opposite

∠a + ∠D = 180

∠A = 180 - 77

= 103 degrees

∠B  + 80 = 180

∠b = 100 degrees

∠c + ∠ b = 180

∠c = 180 - 100

= 80 degrees

hence A' = 103, B' =100, c' = 80, D' = 77

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Answer:

C

Step-by-step explanation:

Answer:

25p+45<480

Step-by-step explanation:

Answer:

1 / 10000

Step-by-step explanation:

10^3 / 10^7

apply exponent rule: x^a / x^b = x^(a-b)

10^3 / 10^7 where a = 3 and b = 7

10^(3 - 7) = 10^(-4)

apply exponent rule: a^-b = 1 / a^b

1 / 10^(4)

10^4 = 10000

1 / 10000

Let me know if you have any questions !

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Answer:

10^-4

Step-by-step explanation:

In division of powers (when the numbers are the same), you subtract both the powers. In this case, it would be 3 - 7 = -4, resulting in a power of -4

The whole number that can be substituted for z is 1.

To order these numbers from least to greatest, we need to first find a value for x that makes the expressions comparable.

1/x can be rewritten as 0.01/x

80% can be written as 0.8

So, the list becomes:

0.01/x, x/3, 0.8

To compare 0.01/x and x/3, we can cross-multiply and simplify:

0.01/x < x/3

0.01*3 < x^2

0.03 < x^2

x > sqrt(0.03)

Since x has to be a whole number, the smallest possible value for x is 1.

So, substituting x = 1, the list becomes:

0.01, 1/3, 0.8

Ordering these from least to greatest, we get:

0.01, 0.8, 1/3

Therefore, the whole number that can be substituted for z is 1.

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Answer:

I believe you mean algebra and inverses when you change it to solve inequalities.

Step-by-step explanation:

Let's use -3 + 4 as an example. In order to change the function, you will switch the sign. (In this case, we change "+" into ")

At this same time, you must change the sign in front of the numbers. (Positive signs become negative and negative signs become positive.

So, -3 + 4 is the same thing as 3 - -4.

3 - 4 = -1

-3 + 4 = 1

Tip: When subtracting a negative number, the answer is likely to go up instead of down.

I hope this helps! I did my best :)

Answer:

c=a2+b2=102+172≈19.72308

Step-by-step explanation:

a calculator bro its easy

The sum of the two complex numbers is 9 - √30) + 2√(5)i.

Explain complex numbers

Complex numbers are numbers that consist of a real part and an imaginary part, expressed as a+bi, where a and b are real numbers and i is the imaginary unit. They are used in mathematics to represent solutions to equations that cannot be solved using only real numbers.

According to the given information

To add complex numbers (4+√(-20i)) and (5+√(-30i)), we add their real parts separately and their imaginary parts separately:

Real parts: 4 + 5 = 9

Imaginary parts: √(-20i) + √(-30i)

We can simplify each of the square roots using the fact that:

√(-1) = i

Therefore:

√(-20i) = √(20) * √(i) = 2√(5) * i

√(-30i) = √(30) * √(i) = √30) * i * √(-1) = √(30) * i^2 = -√(30)

So the imaginary parts simplify to:

2√(5)i - √(30)

Putting it all together, we get:

(4+√(-20i)) + (5+√(-30i)) = 9 + (2√(5)i - √(30)) = 9 - √(30) + 2√(5)i

Therefore, the sum of the two complex numbers is 9 - √(30) + 2√(5)i.

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By subtracting and adding mixed numbers, we can see that at the end she has \(3\frac{5}{24}\)  tubes of paint.

Just carry out the following three steps to add or subtract mixed numbers:

The mixed numbers should be changed to improper fractions.

Add and subtract fractions. The Lowest Common Denominator may be required.

Return to a mixed number.

We know that initially Hannah has \((3+\frac{3}{4})\) tubes of purple paint, and she used \((2+\frac{1}{6} )\) tubes.

We now need to calculate the difference between the two mixed numbers, which gives us:

\((3+\frac{3}{4})-(2+\frac{1}{6} )=3-2+\frac{3}{4}-\frac{1}{6} \\=1+\frac{17}{24}=1 \frac{17}{24}\)

She later discovered \((1+\frac{1}{2} )\) more. We must now add that:

\((1+\frac{17}{24})+(1+\frac{1}{2})=2+\frac{29}{24} \\=2+\frac{24+5}{24}\\ =3 +\frac{5}{24}\)

She has 3 and five-twenty fourth of tubes of purple paint.

By subtracting and adding mixed numbers, we can see that at the end she has \(3\frac{5}{24}\)  tubes of paint.

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Answer:

80

Step-by-step explanation:

0.35x = 28 (divide each side by 0.35)

x=80

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

The Emily soccer team has the higher ratio of wins to losses.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

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Answer:

280 pupils

Step-by-step explanation:

27 + 38 + x = 100 Find what percentage is the Year 9 which is 35%

800 x 0.35 = 280 pupils

Step-by-step explanation:

a) Since the temperature of the oven is decreasing by a percentage of its current temperature each minute, the function that best represents this situation is an exponential function.

b) Let T be the temperature of the oven in degrees Fahrenheit at time x minutes after it was turned off. The initial temperature of the oven was 450° F, and the temperature decreases by 10% each minute. This can be expressed as:

T = 450(0.9)^x

Therefore, the function that models the situation is:

f(x) = 450(0.9)^x

where f(x) is the temperature of the oven in degrees Fahrenheit x minutes after it was turned off.

Answer:

The pair of numbers is (3,3) while the maximum product is 9

Step-by-step explanation:

The pairs of numbers whose sum is 6 starting from zero is ;

0,6

1,5

2,4

3,3

Kindly note 2,4 is same as 4,2 , so there is no need for repetition

So the maximum product is 3 * 3 = 9 and the pair is 3,3

The pair of the numbers where the sum is 6 should be 3 and 3 and the maximum product is 9.

Since the sum of the pairs is 6

So, here are the following probabilities

0,6

1,5

2,4

3,3

Now if we multiply 3 and 3 so it comes 9 also it should be large

Therefore, The pair of the numbers where the sum is 6 should be 3 and 3 and the maximum product is 9.

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The term "isometric" has the Greek roots "isos," which means "same," and "metron," which means "measure." The definition of an isometric transformation is one in which the original figure and its transformed equivalent have the same shape, size, and orientation.

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According to the properties of a parallelogram, the consecutive interior angles are supplementary, this is that the sum of its measures is 180.

Use the expressions given for 2 of the consecutive angles to find the value of x. Remember, the sum of these expressions must be 180.

x has a value of 14.

Answer:

12

Step-by-step explanation:

because 17-5=12 so the answer is 12

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Therefore, B's share is Rs. 30,000 and C's share is Rs. 40,000.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). The equals sign indicates that the two expressions are equal, and the goal of solving the equation is to find the value of x that makes this statement true. Equations can be solved using various algebraic techniques, such as simplifying and rearranging the expressions, applying operations to both sides of the equation, and factoring or expanding expressions. Solving an equation involves finding the values of the variables that make the equation true.

Here,

Let the total sum of money be x.

Then, according to the given ratio, A's share is 2/9 of the total sum, so we have:

2/9 * x = 20000

Multiplying both sides by 9/2, we get:

x = 90000

Now, we can find the shares of B and C as follows:

B's share = 3/9 * 90000 = 30000

C's share = 4/9 * 90000 = 40000

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Monthly income and expenditure of Ganesh will be-16680

Let Ganesh's monthly income be x

The problem can be solved using linear equation

The amount of 60% of his salary is spent which can be written as 60% of x or 0.6x

The amount of money saved by Ganesh = total salary - amount spent

                                                                     = x - 0.6x

                                                                     = 0.4x

The amount of savings made by Ganesh  as per the question = 11120

Lets equate both the equation

                          0.4x = 11120

                               x = (11120 × 100)/ 40

                              x = 27800

Hence, Ganesh's monthly salary comes out to be 27800

Ganesh's monthly expenditure = 0.6 x= 0.6 × 27800 =16680

What is a linear equation in math?

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line

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Step-by-step explanation:

B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).

To factor a quadratic expression, you can use the following steps:

1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).

2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.

In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:

(b+7)(b+1)

This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).

Here is a step-by-step explanation of how to factor B^2+8b+7:

1. The coefficient of the middle term is 8.

2. The constant term is 7.

3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.

4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).

Answer:

Step-by-step explanation:

a, e, f