1) The best approximation for the area of this figure is 21+14. 5π units².
2) The total area of the closed figure is 10.5 + 19.63 = 30.13 square units.
3) This is a hexagon with vertices at the specified coordinates on a coordinate plane.
FIGURE AND POLYGON1) The best approximation for the area of this figure is 21 + 14.5π units². The area of a semicircle with a radius of 7 is 14.5π units², and the two segments form a rectangle with an area of 21 units². Adding these two values together gives 21 + 14.5π units².
2) This closed figure can be divided into two parts: a triangle and a quarter of a circle. The area of the triangle can be found using the formula for the area of a triangle (base times height divided by 2). The base of the triangle is the length of the segment from negative 5 comma negative 2 to negative 5 comma 1, which is 3 units. The height of the triangle is the length of the segment from negative 5 comma negative 2 to 2 comma 1, which is 7 units. So the area of the triangle is (3*7)/2 = 10.5 square units.
The area of the quarter of a circle can be found using the formula for the area of a circle (pi times the radius squared). The radius of the semicircle is the length of the segment from 2 comma 1 to negative 5 comma negative 2, which is 5 units. So the area of the quarter of the circle is (pi*5²)/4 = 19.63 square units.
So the total area of the closed figure is 10.5 + 19.63 = 30.13 square units.
3) A hexagon is a polygon with six sides and six angles. In this case, the hexagon is placed on a coordinate plane, with each of its vertices (or corners) located at specific x and y coordinates.
The coordinates provided are: (negative 6, negative 2), (negative 5, 1), (negative 1, 4), (1, 1), (5, 3), and (1, negative 2). These coordinates correspond to six points on the plane, and the hexagon is formed by connecting these points in the specified order.
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Solve the inequality x + 2 1/2 > -1/2. Graph the solution set on a number line.show your work.
Answer:
x > - 3
Step-by-step explanation:
x + 2[tex]\frac{1}{2}[/tex] > - [tex]\frac{1}{2}[/tex] First turn 2[tex]\frac{1}{2}[/tex] into an fraction since its easier. So it becomes [tex]\frac{5}{2}[/tex]
x + [tex]\frac{5}{2}[/tex] > - [tex]\frac{1}{2}[/tex]
- [tex]\frac{5}{2}[/tex] - [tex]\frac{5}{2}[/tex] Do inverse operations, so subtract [tex]\frac{5}{2}[/tex] from both sides.
x > - [tex]\frac{6}{2}[/tex] Combine - [tex]\frac{5}{2}[/tex] with - [tex]\frac{1}{2}[/tex], which gives us - [tex]\frac{6}{2}[/tex]
x > - 3 Since we know that 6 divided by 2 is 3.
This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)
<-------------O--------------------------------------------------->
-5 -4 -3 -2 -1 0 1 2 3 4 5
So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.
If the m<1 = 17x - 30, and the <2 = 7x + 18, what is the value of x?
Answer:
X=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
17x−30+7x+18=180
17x+−30+7x+18=180
(17x+7x)+(−30+18)=180(Combine Like Terms)
24x+−12=180
24x−12=180
Step 2: Add 12 to both sides.
24x−12+12=180+12
24x=192
Step 3: Divide both sides by 24.
X=8
How do you know if 3 measures can make a triangle?
To determine if three measures can make a triangle, use the Triangle Inequality Theorem. This theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.
for example
side 1 = 6
side 2 = 8
side 3 = 10
6 + 8 = 14 > 10,
therefore the three sides can make a triangle.
1. Gather the three measures of the triangle.
2. Add the two smallest side lengths together.
3. Compare the sum of the two smallest sides to the longest side.
4. If the sum of the two smallest sides is greater than the longest side, then the three measures can make a triangle.
5. If the sum of the two smallest sides is not greater than the longest side, then the three measures cannot make a triangle.
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Select all expressions that are equivalent to 3x - 2 (x - 4) - 1
Answer:
x+7
Step-by-step explanation:
Remove Parentheses
Collect like terms
Calculate
Answer: x+7
Step-by-step explanation: distribute the -2 first
3x - 2x + 8 - 1
simplify (combine like terms )
3x-2x= x
8-1= 7
x+7
Hope this helps (^_^)
In which of the following intervals does the trigonometric inequality sec(x)
The Trigonometric inequality Sec (x)< cot(x) will hold true in π/2 < x < π.
How can a trigonometric inequality be expressed?
The intervals where the trigonometric inequality sec (x) cot (x) always holds true are what we are looking for.
This can also be expressed as: 1/cos (x) < 1/tan (x)
Now, this is only possible in the fourth quadrant, where cos x is positive and tan (x) is negative, where: π/2 < x < π.
The values for sin, cos, and tan are all positive in the first quadrant.
Only positive values for sin are present in the second quadrant.
The tan values in the third quadrant are all positive.
Only positive values for cos are present in the fourth quadrant.
Therefore the inequality Sec(x) < cot(x) will hold true in π/2 < x < π.
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A school is selling cookies as a fundraiser. Each box contains 10 cookies. Each student can sell 17 boxes of cookies. How many cookies can 11 students sell
11 students could sell 1870 cookies.
Explain about the expressions?A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.
Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.
An expression is a collection of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Expressions and phrases are similar in certain ways. Language phrases can comprise actions on their own, but they do not make up complete sentences.
= 10 X 17
= 170 X 11
= 1870
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plz answer will give 5* brainliest and thanks plz plz plz ur being timed xD
Answer:
y = 1/2x + 0
Step-by-step explanation:
Ok last one! I tried everything im completely lost! Need help one more time.
Answer:
33 degrees
Step-by-step explanation:
Angle 1 and 2 add up to a right angle which is 90 degrees. To find 2, subtract 57 from 90
90-57=33
Therefore 33 degrees is the answer
Please mark me the brainliest
(-2) (-3) less greater than equal than 8- (-2)
The true statement is 6 less than 10
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
(-2) (-3) less greater than equal than 8- (-2)
We start by evaluating each expression
So, we have the following representation
(-2) (-3) = 6
8- (-2) = 10
Substitute the known values in the above equation, so, we have the following representation
6 less greater than equal than 10
6 is less than 10
So, we have
6 less than 10
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Find the volume of a right circular cone that has a height of 3.9 in and a base with a radius of 14.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
[tex]volume = \frac{1}{3} \pi {r}^{2} h \\ = \frac{1}{3} \times 3.14 \times {(14.3)}^{2} \times 3.9 \\ = 834.73 \: cubic \: in[/tex]
Answer:835.2
Step-by-step explanation:
Suppose the population of a small town is 567 in 2011. The population decreases at a rate of 1.5% every year. What will be the population of the town in 2020?
Answer: 495 people
Step-by-step explanation:
As this involves the population in a future year, you can use the future value model for this:
= Population * ( 1 + rate of increase) ^ number of years
Number of years = 2020 - 2011
= 9 years
Rate of increase will be negative to show that it is a decrease.
= 567 * ( 1 - 1.5%) ⁹
= 494.9
= 495 people
6. It took Mrs. Whitaker's class 4 hours to build a snowman.
They decided to build a second snowman, but this time it took
only half the time it took to build the first one. What was the
total amount of time to build both?
The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
1st snowman took time t = 4 hours
2nd snowman take half of the first t / 2 = 2 hours
so total time
= t + t/2
= 4 + 2
= 6 hours
The two snowmen took a combined six hours to construct, compared to the four hours it took to construct the first.
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If police and fire are already on an accident scene, how many feet away should you park your ambulance
It is recommended that when an ambulance arrives at an accident scene, it should park a safe distance away from the scene, at least 500 feet away.
This is to ensure the safety of the paramedics and other emergency responders, as well as to ensure that the ambulance does not impede the movement of other emergency vehicles. Additionally, it is also to protect the privacy of the individuals involved in the accident and ensure that the scene is not tampered with.
It is also important to follow any additional instructions given by the police or fire department at the scene, as they may have specific parking instructions based on the situation.
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Find the Circumference of the circle. Leave your answer in terms of TT
Formula: C = 2
Plsss help nowww
Answer:
C = 18π m
Step-by-step explanation:
The circumference (C) of the circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 9 = 18π
Find the fraction which is mid-way between the two fractions given: 3/8 and
11/24
Answer:
5/12
Step-by-step explanation:
Add both fractions and divide by 2 to find the one right in between.
3/8+11/24=5/6
then divide by two
(5/6)/2=5/12
=5/12
PLEASE HELP WILL MARK BRAINIEST AND NO LINKS!!!!
Answer:
a. 5 seconds
b. 1 second
Step-by-step explanation:
Plug the values into the equation and solve for t.
[tex]f(t)=-16t^2+400\\f(t)=-16t^2+16[/tex]
3 Select the correct answer. Which value of x makes this equation true? -5(x-20)=35 A. -11 B. 13 C.27 D.-3
What is the equation for the linear relationship in slope intercept form?
Answer:
y=-2/3x+4
Step-by-step explanation:
slope intercept form = y=mx+b
y=-2/3x+4
PLEASE HELP BRANLIEST!!!!
Answer:
A. y = (x + 3)(x - 2)
Step-by-step explanation:
I used the points where the line crosses the x - axis. (0,-3 and 0,2).
Also, graph it. I use desmos.
Answer:
A)
Step-by-step explanation:
Graphed the equation
Ana and Darryl answered 80 calls. Ana answered 4 times as many as Darryl. How many calls did ana answer
There were 64 calls that Anna answered in this algebra question,
What is Answered calls?
Total engaged calls, another name for answered calls, is a measurement of all incoming calls that were handled by an agent during regular business hours.
Solution:
If Ana answers more calls than Darryl does, then let D be the number of calls Darryl Answered.
A + D = 80
A = 4D
4D + D = 80
5D = 80
D = 80 / 5
= 16
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According to the algebra, Ana answered 16 calls,
What is algebra, exactly?The area of mathematics known as algebra is used to represent situations or problems using mathematical expressions. In algebra, we use numbers with fixed or definite values, such as 2, 7, 0.068, etc. In algebra, we combine numbers with variables like x, y, and z.
Solution:
Let D be the number of calls Darryl answered if Ana answers more calls than he does.
A + D = 80
A = 4D
4D + D = 80
5D = 80
D = 80 / 5
= 16
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5 feet x 3 feet x 2 and 1/4
Answer:
3.1354776 m2
Step-by-step explanation:
Answer: 33.75
Step-by-step explanation:
5 times 3 is 15 and 15 times 2 1/4 is 33.75
PLEASE PLEASE HELP!!
Need it by the end of the night!
4.
Kelly Waxman's annual salary is $30,000. She takes
a married exemption. Using the graduated income
tax rates in the figure on the right, find the annual
state tax withheld. (Section 2-3)
a. $1,877. 21
c. $1,877. 90
b. $2,159. 85
d. $1,662. 50
Personal Exemptions
Single
$1,500
Married
$3,000
Each Dependent
$ 750
State Tax
Annual Gross Pay Tax Rate
First $3,500
3%
Next $3,500
4. 5%
Over $7,000
7%
The annual state tax withheld for Kelly Waxman would be 1,662.50 dollars.
Therefore the answer is d) $1,662.50.
Here is the breakdown of the calculation:
Kelly's salary of $30,000 minus the married exemption of $3,000 = $27,000
The first $3,500 are taxed at 3%, which is
= 0.03×3500
= $105
The next $3,500 are taxed at 4.5%, which is
= 0.045×3500
= $157.50
The remaining $27,000 - $3,500 - $3,500 = $20,000 are taxed at 7%, which is
= 0.07×20000
= $1,400
Adding all three amounts together: $105 + $157.50 + $1,400 = $1,662.50. It is the annual state tax withheld.
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Can someone help me with this problem?
I will mark the person brainliest who answers with an actual correct answer
Please help!!!
Due soon!!
Answer choices are below:
A. Dilate rectangle ABCD with a scale factor of 1/2 about the origin, followed by a translation 5 units down and 7 units left.
B. Dilate rectangle ABCD with a scale factor of 2 about the origin, followed by a 180° rotation counterclockwise about the origin.
C. Dilate rectangle ABCD with a scale factor of 1/2 about the origin, followed by a 180° rotation counterclockwise about the origin.
D. Dilate rectangle ABCD with a scale factor of 2 about the origin, followed by a translation 5 units down and 7 units left.
£99 is shared in the ratio 6 : 5
What is the larger share?
Answer:
54
Step-by-step explanation:
6x + 5x = 99
11x = 99
x=99/11
x=9
6x = 6x9 = 54
5x = 5x9 = 45
ans: 54
6. Jane put a fence around her square backyard. She used 112 feet of material in total. What is
one side length of her backyard?"
Answer:
28 ft
Step-by-step explanation:
112 ft / 4 sides (since it is a square background)
112/4 = 28 ft/side length.
Find an equation of the circle that has center -(-5,6) and passes through (-1,1).
Answer:
[tex](x+5)^2+(y-6)^2=41[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at [tex](h,k)[/tex] and r is the radius
1) Plug in the center (-5,6)
[tex](x-(-5))^2+(y-6)^2=r^2\\(x+5)^2+(y-6)^2=r^2[/tex]
2) Plug in the given point (-1,1) and solve for r²
[tex](-1+5)^2+(1-6)^2=r^2\\(4)^2+(-5)^2=r^2\\16+25=r^2\\41=r^2[/tex]
Therefore, r² is 41. Plug this back into [tex](x+5)^2+(y-6)^2=r^2[/tex]:
[tex](x+5)^2+(y-6)^2=41[/tex]
I hope this helps!
How can you identify and write equivalent expressions?
You can identify equivalent expressions if one of the expressions can be written like the other and it is usually written by combining any like terms on each side of the equation such as x-terms with x-terms and constants with constants.
What is an Equivalent expression?These are the type of expressions that have similar value or worth but do not look the same.
This type of expression can be identified if one of the expressions can be written like the other and example can be seen below:
3(x + 3) and 3x + 9
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Examine the given run chart or control chart and determine whether the process is within statistical control. If it is not, identify which of the three out-of-statistical-control criteria apply.
A. Process mean is not within statistical control. One of the points lies above the upper control limit.
B. Process mean is not within statistical control. There are points above and below the control limits.
C. Process mean is not within statistical control. There is an upward trend which is indicating an increase in variation.
D. Process mean is within statistical control.
Answer:
(B) Process mean is not within statistical control. There are points above and below the control limits. There is a shift upward.
Step-by-step explanation:
Gradpoint
How many times greater is 904.32 than 113.04!!!!
PLS HELP
Answer: 8 times greater
Step-by-step explanation: divide them 904.32/113.04 and you'll get 8
If 7 is an element in the domain of f(x)= 6x-18/2, what is the corresponding element in the range?
The corresponding element in the range when 7 is an element in the domain is f(7)=33
Step-by-step explanation:
Given that the 7 is an element in the domain of f(x)
The function f is defined by f(x)=6x-18/2
To find the corresponding element in the range:
That is put x=7 in the given function f(x)
Therefore f(x) becomes
f(7) = 6(7)-18/2
=42-18/2
=42-9
=33
Therefore corresponding element in the range when 7 is an element in the domain is f(7)=33
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