In the diagram, the measure of angle 6 is 98 degrees.

what is the measure of angle 7?

Answer: the teacher is 43

Step-by-step explanation: if you take 11 and multiply it by 15 you get 165 if you take 208 and divide it by 16 you get 13.

so basically you subtract 208 from 165 to get 43

Answer:

565.49 inches cubed

Step-by-step explanation:

Answer:

V = approximately 565.49 in3

Answer:

Step-by-step explanation:

\(1c-0.25c=0.75c\)

Answer:

12 feet or 12 ft

Step-by-step explanation:

We solve for this question using Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = Angle of elevation = 33.7°

Opposite side = Height of the lamp = ??

Adjacent side = Shadow of the lamp = 18 feet

Hence,

tan 33.7° = Opposite/ 18

tan 33.7° × 18 = Opposite

Opposite = 12.004507735 feet

Approximately to the nearest foot = 12.0feet

The height of the lamppost with a shadow of 18 ft. is 12 feet.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the lamppost, hence:

tan(33.7) = h/18

h = 12 feet

The height of the lamppost with a shadow of 18 ft. is 12 feet.

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Answer:

Yola is 42, Zed is 19

Step-by-step explanation:

I used a system of equations:

y - z = 23

2z + y = 80

Then I graphed them.

The measure of angle ∠A will be 60° for the given triangle.

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.

Given that the two angles are ∠B = ( 3y + 6 )°, ∠A = (4y)° and the exterior angle ∠C = 111°.

The measure of the angle ∠A will be,

( 3y + 6 ) +  (4y) = 111

7y = 111 - 6

7y = 105

y = 105 / 7

y = 15

The angle ∠A will be,

∠A = 4 x 15

∠A = 60°

Therefore, the angle ∠A will be 60°.

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Answer:

Step-by-step explanation:

the degree of a polynomial determines 1:1 the number of solutions.

a quadratic equation (degree 2) has 2 solutions.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = -4

b = -4

c = -1

so,

x = (4 ± sqrt((-4)² - 4×-4×-1))/(2×-4)

when we look at the square root

16 - 16

we see that it is 0.

the square root of 0 is 0, and there is no difference between -0 and +0.

so, we get only one (real) solution : 4/-8 = -1/2

but : formally, there are still 2 solutions (as this is a quadratic equation). they are just identical.

so, I am not sure what your teacher wants to see in this case as answer.

my answer would be 2 real identical solutions. did this help?

Answer:

60°

Step-by-step explanation:

Angles in a triangle sum to 180°.            70° + 50° = 120°.               180°-120°=60°

We have to divide the total amount of cookies between the 5 friends in equal parts.

So we do:

Each of the friends gets 5.3 cookies.

We need to divide because we have a total quantity and we want to know what is this quantity divided in 5 equal parts, so the right operation is division.

Answer:

100

Step-by-step explanation:

#20 naira - 20 * 100

= 2000kobo

2000/20

100

QED✅✅

you can support by rating brainly it's very much appreciated ✅ ✅

The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.

In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.

An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.

There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.

The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.

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Answer:

to find the behaviour you can of course use an graph by help of demos but with the theory

in first scenario it's showing a maximum point

and in second it is an inflation point or it intercsect the y axis (y intercept)

Inequality in standard form:

5x² - 40x - 45 ≤ y ≤ x² + 8x + 9 and y ≤ x² - 8x - 9 and y ≥ 5x² + 40x + 45

What is inequalities?

In mathematics, an inequality is a mathematical statement that indicates that two expressions are not equal.

To find the inequality that represents the shaded region, we can first simplify each inequality and then combine them using "and" or "or" operators as necessary.

Starting with each inequality:

y ≥ x² + 8x + 9: This is a parabola that opens upwards and has a vertex at (-4,1). The inequality means that all points above or on the parabola are included in the shaded region.

y ≥ x² - 8x - 9: This is a parabola that opens upwards and has a vertex at (4,-1). The inequality means that all points above or on the parabola are included in the shaded region.

y ≤ 5x² - 40x - 45: This is a parabola that opens upwards and has a vertex at (4,-125). The inequality means that all points below or on the parabola are included in the shaded region.

y ≥ 5x² + 40x + 45: This is a parabola that opens upwards and has a vertex at (-4,-125). The inequality means that all points above or on the parabola are included in the shaded region.

Combining the inequalities using "and" or "or" operators:

Since all of the inequalities have "y ≥" or "y ≤" in them, we know that the shaded region is above or below some combination of the parabolas. Specifically, the shaded region is above the first two parabolas and below the second two parabolas. Therefore, we can use "and" to combine the inequalities as follows:

y ≥ x² + 8x + 9 and y ≥ x² - 8x - 9 and y ≤ 5x² - 40x - 45 and y ≤ 5x² + 40x + 45

This gives us the final inequality in standard form:

5x² - 40x - 45 ≤ y ≤ x² + 8x + 9 and y ≤ x² - 8x - 9 and y ≥ 5x² + 40x + 45

Note that we flipped the direction of the inequality for the last term (y ≥ 5x² + 40x + 45) to make it consistent with the other three inequalities.

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no sorry its way to hard to answer this

Answer:

-5/4

Step-by-step explanation:

Let \((x_1,y_1)=(-4,4)\) and \((x_2,y_2)=(0,-1)\). The slope of the line would be:

\(\displaystyle \frac{y_2-y_1}{x_2-x_1}=\frac{-1-4}{0-(-4)}=\frac{-5}{4}=-\frac{5}{4}\)

Answer: -5/4

Step-by-step explanation:

To find the slope between two points, you can use the formula:

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

Using the points (0, -1) and (-4, 4), we can substitute the coordinates into the formula:

slope = (4 - (-1))/(-4 - 0)

slope = (4 + 1)/(-4)

slope = 5/-4

Therefore, the slope between the two points is -5/4.

The profit function for this problem is given as follows:

P(x) = -0.5x³ + 100x² - 500x + 300.

The profit function is obtained as the subtraction of the revenue function by the cost function, as follows:

P(x) = R(x) - C(x).

The functions for this problem are given as follows:

Hence the profit function is given as follows:

P(x) = -0.5x³ + 600x² - 200x + 300 - 500x² - 300x

P(x) = -0.5x³ + 100x² - 500x + 300.

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The midpoint of the line segment with the endpoints is (4, 1)

The endpoints are given as:

E= (-2,8) and F = (10, -6)

The midpoint of the line segment with the endpoints is calculated as

Midpoint = 0.5 * (x1 + x2, y1 + y2)

So, we have:

Midpoint = 0.5 * (-2 + 10, 8- 6)

Evaluate the sum

So, we have:

Midpoint = 0.5 * (8, 2)

Evaluate the products

So, we have:

Midpoint = (4, 1)

Hence, the midpoint of the line segment with the endpoints is (4, 1)

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Answer:

-84+(-11)= -95

-84 + (-11) = -84 - 11 = -95

By the commutative property, adding a negative number is the same as subtracting that number as a positive; therefore, something + (-11) = something - 11. After changing the equation from -84 + (-11) to -84 - 11, we use regular addition properties, adding the tens place and ones place to get -95.

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Given:

Explanation:

a) To find: Range

The range formula is,

Therefore, the range of the data is 1.8.

b) To find: The standard deviation.

The formula is,

Here,

On substitution we get,

Therefore, the standard deviation for the given data is,

c) To find: Variance

Since the standard deviation is 0.54.

So, the variance becomes,

Final answer:

• The range of the data is 1.8.

• The standard deviation for the given data is 0.54.

• The variance for the given data is 0.29.

The grams of cocoa does it contains is 36.57 grams

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

Weight of the chocolate bar = 69

Proportion = 53%

This implies that

Grams of cocoa = weight of the chocolate bar * Proportion

Substitute the known values in the above equation, so, we have the following representation

Grams of cocoa = 53% * 69

Evaluate the products

Grams of cocoa = 36.57

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The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:Hlello, my name is woods245.

So you have the problem b - 3>5 and is says that b=6.

So know the problem looks like this. 6 - 3>5.

Step-by-step explanation:

The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.

The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.

In other words, a set is inductive if it satisfies the following two conditions:

The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.

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The area of the given polygon is  1830 cm².

A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.

Each line of the polygonal circuit's segments is referred to as its edges or sides.

We know the area of a square is (side)² and the area of a rectangle is (length×width).

From the given diagram we can think of this polygon as a square having a side length of 46cm and a rectangle having a width (30 - 14) = 16cm and length 21cm, And subtract the area of the rectangle from the area of the square which is,

= (46×46) cm² - (16×21) cm².

= (2166 - 336) cm².

= 1830 cm².

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Answer:

perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4

The school has surpassed its goal of reading 5,000 books by 5,185 books, and the students and staff can be proud of their accomplishment in promoting literacy and education.

To determine if Mary School reaches its goal of reading 5,000 books, we need to calculate the total number of books raised by each class.

For the three classes that raised 875 books each, we can calculate the total number of books as:

3 x 875 = 2,625 books

For the four classes that raised 640 books each, we can calculate the total number of books as:

4 x 640 = 2,560 books

To find the total number of books raised by all the classes, we can add the books raised by each group:

2,625 + 2,560 = 5,185 books

Since the total number of books raised is greater than the goal of 5,000 books, we can conclude that Mary School has reached its goal.

Therefore, the school has surpassed its goal of reading 5,000 books by 5,185 books, and the students and staff can be proud of their accomplishment in promoting literacy and education.

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The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.

There would be two walls with 10 x 16 dimensions so the area is :

= 2 x 10 x 16

= 320 square feet

Two walls with 20 x 10 dimensions :

= 2 x 20 x 10

= 400 square feet

The total area is :

= 400 + 320

= 720 square feet

One gallon of paint can cover 400 square feet so the number of gallons needed is:

= 720 / 400

= 1. 8 gallons

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Full question is:

One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.