Find all theta in the interval [0, 2pi) that satisfy the equation.
2costheta*tantheta + tantheta = 0
Which of these is a step in constructing an inscribed square using technology?
Construct segment DB, segment BC, segment CE, segment EG, segment GI, and segment ID.
Draw segments BR, RS, and SB.
Identify the points of intersection between circle A and circle G.
Mark the points of intersection between circle A and line AB.
The answer is D: Mark the points of intersection between circle A and line AB.
The solution is:
B. Create circle A with point B on the original circle., these is a step in constructing an inscribed square using technology.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
An equilateral triangle is one in which the three angles and sides are equal. And this can be inscribed in another given shape. Inscribed triangle implies constricting a given triangle within the boundaries of another given shape, e.g circle. In this case, the edges of the triangle touches internally the circumference of the circle.
Draw circle A with point B on the circumference of the circle
Put your compass at B with radius equal to the radius of circle A
Draw an arc to cut the circumference of the circle
Draw another arc to cut the circumference on the other segment of the circle
Join the points where the arcs cut the circumference to construct the equilateral triangle.
Hence, The solution is:
B. Create circle A with point B on the original circle., these is a step in constructing an inscribed square using technology.
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An auditorium has 25 rows with 45 seats in each row, how many seats are there in all?
A city finds its residents are moving to the suburbs. its population is decreasing by 4% per year. if the initial population of the city was 100,000, what will its population be in 10 years (round answer to the nearest person)?
A ball is projected at an angle of 53°. If the initial velocity is 48 meters/second, what is the vertical component of the velocity with which it was launched?
Answer: B (38m/s)
Explanation: The vertical component of a vector such as velocity is the magnitude of the vector multiplied by the sine of the angle.
Which number rounds down when rounded to the nearest hundredth?
a. 46.215
b. 54.384
c. 57.456
d. 61.307
1,8,15,22,...the next three of the arithmetic sequence
You want to buy a new camera. The sale price is $129. The sign says that this is $45 less than the original cost. What is the original cost of the camera.
Найдите, чему равна сумма корней уравнения: |3x-y|+(x-2)^2+|x-y+z|=0
What is 4 feet to inches?
1.3 yrs = ? hrs ...?
What is 7 divided by 1/2?
The problem involves empirical probability. The table shows the breakdown of 95 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is in the army.
The data provided does not include specific information needed to calculate the empirical probability of a randomly selected single parent in the U.S. military being in the Army.
Explanation:Unfortunately, the provided information does not give specific numbers for single parents actively serving in the different branches of the U.S. military, including the Army. Therefore, it is not possible to accurately calculate the empirical probability this question is asking for. However, if such data were available, you would calculate the empirical probability of a randomly selected single parent in the U.S. military being in the Army by dividing the number of single parents in the Army by the total number of single parents on active duty.
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what is the limit as x approaches negative infinity of (1.001)^x ...?
The limit as x approaches negative infinity of (1.001)^x is 0, because as we raise a number slightly larger than 1 to increasingly negative exponents, the results get closer and closer to zero.
The student is asking about the limit of a function as x approaches negative infinity, specifically for the function (1.001)^x. When evaluating this limit, it is essential to understand how exponential functions behave as the exponent becomes very large or very negative. Since 1.001 is greater than 1, raising it to increasingly negative exponents will result in values that approach zero. Therefore, the limit as x approaches negative infinity of (1.001)^x is 0.
Understanding the behavior of functions at infinity can be connected to the general concept where, for example, the reciprocal of a number as it approaches zero from the positive side (1/x) goes to positive infinity and from the negative side (1/x) goes to negative infinity. However, when evaluating the limit at negative infinity for our function, we must consider the base of the exponential function, which dictates that the function's values descend towards zero.
20 is what percent of 50
Which values are solutions to the inequality below?
Check all that apply. >10
A. 120
B. 5
C. 100
D. 567
E. 101
F. 19
How to solve 2x 4=17 step by step?
A museum grounds keeper is crating a semicircular statuary garden with diameter of 30 feet. There will be a fence around the garden. The fencing costs $9.25 per linear foot. About how much will the fencing cost altogether?
I WILL UPVOTE!!!!!!
PLZ HELP ALGEBRA A-B.
Evaluate b^2c^-1 for b = -4 and c = 2.
if the roots of the equation (a2+b2)x2-2(ac+bd)x+(c2+d2)=0 are equal, prove that a/b=c/d ...?
The sum of two consecutive odd integers is 56. what is the smaller number?
Determine which two values the following expression is between.
π2
A. 9 and 9.61
B. 9.61 and 10.24
C. 10.24 and 10.89
Answer:
9.61 and 10.24
Step-by-step explanation:
Randi's school requires that there are 2 adult chaperones for every 18 students when the students go on a field trip to the museum. If there are 99 students going to the museum, how many adult chaperones are needed?
Answer:11 chaperones
Step-by-step explanation:1st you do 99÷18=5.5
2nd you make 5 circles then put the number 2 in them
3rd you make a half circle and put the number 1
4th you add 2+2+2+2+2+1
math help!!!
John owes a debt of $500 to his landlord. His father has agreed to pay 3/5 of this amount for him. How much will his father pay?
of this amount for him. How much will his father pay?
A) $100
B) $300
C) $500
D) $1000
Answer: B. $300
Step-by-step explanation: 3/5 * 500 = 300
9/8*0.97 which is closer to a.0.5 b.1 c.2
Final answer:
After performing the multiplication 9/8*0.97, which equals 1.09125, we find that this number is closest to 1 as compared to the other options provided (0.5 and 2).
Explanation:
To determine which number 9/8x0.97 is closer to among the options 0.5, 1, and 2, we need to perform the multiplication. The fraction 9/8 can be converted to a decimal by dividing 9 by 8, which gives us 1.125. Next, we multiply 1.125 by 0.97 to find the result of the original expression.
Multiplying these two numbers gives us 1.125 x 0.97 = 1.09125. Comparing this result to the options provided, we can clearly see that 1.09125 is closest to 1.
Therefore, the answer to the question is (b) 1, since 1.09125 is very close to 1 and further away from 0.5 and 2.
Find the perimeter of the shape below:
(attached)
7.4 units
8.9 units
11.2 units
13.6 units
The perimeter of the polygon to the nearest tenth of a unit [tex]\boxed{13.6{\text{ units}}}[/tex]. Option (d) is correct.
Further explanation:
The distance between the two points can be calculated as follows,
[tex]\boxed{{\text{Distance}} = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} }[/tex]
Given:
The coordinates of the vertices of the polygon are [tex]\left( { -2, 7} \right),\left( {2, 5} \right),\left( {- 1, 5} \right)[/tex], and [tex]\left( { - 1, 3} \right).[/tex]
Explanation:
The coordinates of the vertices of the polygon are [tex]\left( { -2, 7} \right),\left( {2, 5} \right),\left( {- 1, 5} \right)[/tex], and [tex]\left( { - 1, 3} \right).[/tex]
The distance between points [tex]\left( { -2, 7} \right)[/tex] and [tex]\left( {2, 5} \right),[/tex] can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}} &= \sqrt {{{\left( { - 2 - 2} \right)}^2} + {{\left( {5 - 7} \right)}^2}}\\&= \sqrt {16 + 4}\\&= \sqrt {20}\\&= 4.47\\\end{aligned}[/tex]
The distance between points [tex]\left( {2, 5} \right)[/tex] and [tex]\left( {- 1, 5} \right)[/tex] can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}}&= \sqrt {{{\left( { - 1 - 2} \right)}^2} + {{\left( {5 - 5} \right)}^2}}\\&= \sqrt {9 + 0}\\&= \sqrt9\\&= 3\\\end{aligned}[/tex]
The distance between points [tex]\left( {- 1, 5} \right)[/tex], and [tex]\left( { - 1, 3} \right)[/tex] can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}} &= \sqrt {{{\left( { - 1 + 1} \right)}^2} + {{\left( {3 - 5} \right)}^2}}\\&= \sqrt {0 + 4}\\&= \sqrt4\\&= 2\\\end{aligned}[/tex]
The distance between point [tex]\left( { -2, 7} \right)[/tex] and [tex]\left( { - 1, 3} \right)[/tex] can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}} &= \sqrt {{{\left( { - 1 + 2} \right)}^2} + {{\left( {3 - 7} \right)}^2}} \\&= \sqrt {1 + 16} \\&= \sqrt {17} \\&= 4.13\\\end{aligned}[/tex]
The perimeter of the polygon can be calculated as follows,
[tex]\begin{aligned}{\text{Perimeter}} &= 4.47 + 3 + 2 + 4.13\\&= 13.6\\\end{aligned}[/tex]
Option (a) is not correct.
Option (b) is not correct.
Option (c) is not correct.
The perimeter of the polygon to the nearest tenth of a unit [tex]\boxed{13.6{\text{ units}}}.[/tex] Option (d) is correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Coordinate geometry
Keywords: perimeter, shape, perimeter of shape below, Coordinates, vertices, polygon, x-coordinate, y-coordinate, perimeter, circumference, nearest tenth unit, distance formula.
Jason is 11 times older than Zack. The sum of their ages is 48. How old is Zack?
Jessica gets her favorite shade of purple paint by mixing 1/3 cup of blue paint with 1/2 cup of red paint. How many cups of blue and red paint does Jessica need to make 20 cups of her favorite purple paint?
To make 20 cups of Jessica's favorite purple paint, she needs approximately 6.67 cups of blue paint and 10 cups of red paint.
Explanation:To find the number of cups of blue and red paint Jessica needs to make 20 cups of her favorite purple paint, we need to set up a proportion based on the ratios of blue paint and red paint in her favorite shade.
Since Jessica uses 1/3 cup of blue paint and 1/2 cup of red paint to make her favorite shade, we can set up the proportion:
1/3 cup of blue paint / 1/2 cup of red paint = x cups of blue paint / 20 cups of purple paint.
To solve for x, we can cross multiply and divide:
x = (1/3 cup of blue paint)(20 cups of purple paint) / (1/2 cup of red paint) = 20/3 = 6.67 cups of blue paint.
So, Jessica needs approximately 6.67 cups of blue paint and 10 cups of red paint to make 20 cups of her favorite purple paint.
Tomas factored the polynomial completely. What is the value of C?
3x^4 – 18x^3 + 9x^2 –54x
Ax(x^2 + B) (x + C)
C = ?
Suppose your total taxable income this year is $75,000. You are taxed at a rate of 10 percent on the first $25,000, 20 percent on the next $25,000, and 30 percent on the final $25,000. What is your total income tax?
The total income tax in the year is [tex]\boxed{\$ 15000}.[/tex]
Further explanation:
Given:
The total taxable income is [tex]\$75000.[/tex]
The rate of tax on the first [tex]\$25000[/tex] is [tex]10\%.[/tex]
The rate of tax on the next [tex]\$25000[/tex] is [tex]20\%.[/tex]
The rate of tax on the next [tex]\$25000[/tex] is [tex]30\%.[/tex]
Explanation:
The rate of tax on the first [tex]\$25000[/tex] is [tex]10\%.[/tex]
The income tax on the first [tex]\$25000[/tex] can be obtained as follows,
[tex]\begin{aligned}{\text{Income tax}}&=\frac{{10}}{{100}}\times 25000\\&= \$ 2500\\\end{aligned}[/tex]
The rate of tax on the next [tex]\$25000[/tex] is [tex]20\%.[/tex]
The income tax on the next [tex]\$25000[/tex] can be obtained as follows,
[tex]\begin{aligned}{\text{Income tax}}&= \frac{{20}}{{100}}\times 25000\\&=\$5000\\\end{aligned}[/tex]
The rate of tax on the next [tex]\$25000[/tex] is [tex]30\%.[/tex]
The income tax on the next \$25000 can be obtained as follows,
[tex]\begin{aligned}{\text{Income tax}}&=\frac{{30}}{{100}}\times 25000\\&=\$ 7500\\\end{aligned}[/tex]
The total income tax can be obtained as follows,
[tex]\begin{aligned}{\text{Total income tax}} &= \$ 2500 + \$ 5000 + \$ 7500\\&= \$ 15000\\\end{aligned}[/tex]
Hence, the total income tax in the year is [tex]\boxed{\$ 15000}[/tex].
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Income Tax
Keywords:Total taxable income, tax, $75000, rate, 10 percent, 20 percent, final, income tax, 30 percent, salary.