To find side b in the triangle, we use the fact that angles in a triangle sum up to 180° to find angle B, and then apply the Law of Sines to solve for b using angles B and C and side c.
To determine b in a triangle where angle A = 63°, angle C = 49°, and side c = 3, first, we need to find angle B using the fact that the sum of angles in a triangle is 180°. Therefore, B = 180° - A - C. Calculating this gives us B = 180° - 63° - 49° = 68°. Since angles A, B, and C are known, we can use the Law of Sines to find side b:
b/sin(B) = c/sin(C)
Rearranging this for b yields:
b = c * sin(B) / sin(C)
We substitute the known values to find b:
b = 3 * sin(68°) / sin(49°)
By solving this, we get the length of side b is 3.68
can someone help me x-7=2x-6
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lyzette's folder has a permeter of 38 inches.if the length of the paper is 11 inches what is the width of the folder
Final answer:
To find the width of Jyzette's folder with a perimeter of 38 inches and a length of 11 inches, we use the perimeter formula for a rectangle, solve for width, and find that the width of the folder is 8 inches.
Explanation:
Finding the Width of a Folder
To determine the width of Jyzette's folder, we use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is perimeter, l is length, and w is width. Given that the perimeter is 38 inches and the length is 11 inches, we can set up the equation:
38 = 2(11) + 2w
Simplifying the equation: 38 = 22 + 2w. We then subtract 22 from both sides, resulting in 16 = 2w, and finally, dividing both sides by 2 gives us w = 8. Therefore, the width of the folder is 8 inches.
the sum of a number and 7 is the same as double the number increased by 3
A father is giving his child a 30-inch long softball bat for her birthday.He has a rectangular box that has the dimensions of 5 inches by 6 inches by 25 inches. Will the bat fit in the box ? Explain
Answer:
No, the bat will not fit. Using the Pythagorean theorem, the length of a diagonal of a face of the box is about 24 inches, and the length of the diagonal of the cube is about 29.4 inches. This is less than the length of the bat.
Step-by-step explanation:
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draw 8 lines that are between 1inch and 3 inches long
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What are a) the ratio of the perimeter’s b) and the ratio of areas of the larger figure to the smaller figure?
a) We have been given two similar figures and we have to find ratio of perimeters of these figures.
Let a be given side of larger figure and b be the given side of smaller figure. Let [tex]p_{1} \text{ and } p_{2}[/tex] be the perimeters of two figures and [tex]A_{1} \text{ and } A_{2}[/tex] be the areas of the two figures.
We know that perimeters of two similar figures are in the ratio of corresponding sides.
[tex]\frac{p_{1}}{p_{2}}=\frac{a}{b}[/tex]
We have been given, [tex]a=26\text{ and }b=6[/tex]
Therefore, upon substituting these values in the above equation, we get
[tex]\frac{p_{1}}{p_{2}}=\frac{26}{6}[/tex]
[tex]\frac{p_{1}}{p_{2}}=\frac{13}{3}[/tex]
(b)
Further we know that areas of two similar figures are in the ratio of squares of corresponding sides.
[tex]\frac{A_{1}}{A_{2}}=\frac{a^{2}}{b^{2}}\\ \frac{A_{1}}{A_{2}}=\frac{26^{2}}{6^{2}}\\ \frac{A_{1}}{A_{2}}=\frac{676}{36}\\ \frac{A_{1}}{A_{2}}=\frac{169}{9}\\[/tex]
Therefore, first option is the correct answer.
At a school for performance art students
2/5
of the girls study music,
3/5
of the girls study dance and
1/6
of the girls study music and dance. What fraction of those who study music also study dance?
when is periodic data useful? give examples to support your answer please
Solve triangle PQR is PQ 9, PR 7, and QR 8. POR is NOT a right triangle.
PLEASE HELP!!! Find the equation , in the standard form of the line passing through the points (3,-4) and (5,1)
1. Assume you buy 100 shares of stock at a price of $63.75 per share and incur brokerage fees of $200. You own the stock for 5 years and receive dividends of 50 cents per share at the end of each quarter. Immediately after receiving the 20th quarterly dividend, you sell the stock at a price of $48.63 per share and incur brokerage fees of $200. Calculate your rate of return. (IRR)
2. You own a thriving restaurant but want to change careers. Your brother offers to buy the business with the following monthly payments: $2,750 at the end of each month for 4 years, followed by $3,000 at the end of each month for 3 years. Assuming that you can earn 9% compounded monthly, what is the equivalent cash price of your brother’s offer? (NPV)
suppose you toss a fair coin and roll a fair six-sided die. What is the probability your actions result in tails on the coin and 3 on the die
Peter is working for an hourly wage of 12$ if he worked for 20 hours last week what is his gross pay
To test upper h 0: muequals60 versus upper h 1: muless than60, a random sample of size nequals24 is obtained from a population that is known to be normally distributed. complete parts (a) through (d) below.
which is an example x-intercept of the graph of the function y=tan(x-(5pi/6))
Answer:
D?
Step-by-step explanation:
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A batch of cookies requires 3/8 cup of butter. Butter can be purchased in boxes, each containing 4 sticks, with 1 stick equivalent to 1/2 cup of butter. If Monica is to bake 15 batches of cookies, which of the following is the best estimate for the total number of boxes of butter she needs to buy?
a season ticket for bolton f.c. this season cost £410 it is to go up by 34% next season how.much will a season ticket cost next season?
the slope of the line below is -3. which of the following is the point-slope form of the line? A.) y+2=3(x-2) B.) y+2=-3(x-2) C.) y-2=-3(x+2) D.) y-2=3(x+2)
Answer:
B) y + 2 = -3(x - 2)
Step-by-step explanation:
it's what I got
what is 103.468 rounded to the nearest liter
True or False? The shortest distance from the center of the circumscribed circle to the sides of the inscribed triangle is the circle's radius
Answer:
false
Step-by-step explanation:
The statement that the shortest distance from the center of the circumscribed circle to the side of the inscribed triangle is the circle's radius is false.
How to find the radius of the circumscribed circle around a triangle?The intersection of the perpendicular bisectors of any two sides(or all three sides if you want) is the center of the circumscribed circle for that triangle.
The length of that intersection point from any of the vertices of the triangle is the radius of the circumscribed circle of that triangle.
When a triangle is placed in a circle such that the side of the circle touch the circumference of the circle, then the circle is a circumscribed circle.
The line drawn from the center of the circle to the side of the triangle is the shortest possible line.
However, it is certain that this line is the radius.
This is so because the side of the triangle lie on the circumference of the circle
Hence, the statement that the shortest distance from the center of the circle is false.
Read more about circumscribed circle at:
brainly.com/question/2699432
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Solve the system using the substituiton method
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3x-7y=10
x-4y=5
circle the fraction in the set with the least value 4/3 5/5 4/4 1/2 1/1
Aisha wants to make two quilts, each with the same area. The first quilt will be square with sides s feet long. The second quilt will be a rectangle with a width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt. Which quadratic equation can be used to find s, the side length of the square quilt?
s^2 =(1/2s) (s + 6)
s^2 = (s)(s + 6)
s^2 =(1/2s) (6s)
s^2 = (s)(6s)
Answer:
Option 1 - [tex]s^2=(\frac{1}{2}s)(s+6)[/tex]
Step-by-step explanation:
Given : Aisha wants to make two quilts, each with the same area. The first quilt will be square with sides s feet long. The second quilt will be a rectangle with a width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt.
To find : Which quadratic equation can be used to find s, the side length of the square quilt?
Solution :
The first quilt will be square,
Let the side of square be s
The area of the square is [tex]A=s\times s[/tex]
The second quilt will be a rectangle,
A width that is half the length of a side of the square quilt and a length that is 6 feet longer than a side length of the square quilt.
Width of the rectangle = [tex]\frac{1}{2}s[/tex]
Length of the rectangle = s+6
Area of the rectangle is [tex]A=(\frac{1}{2}s) \times (s+6)[/tex]
According to question,
Area of square and rectangle are equal,
So, [tex]s\times s=(\frac{1}{2}s) \times (s+6)[/tex]
[tex]s^2=(\frac{1}{2}s)(s+6)[/tex]
Therefore, Option 1 is correct.
The required equation is [tex]s^2=(\frac{1}{2}s)(s+6)[/tex]
Q # 17 , Find the slope
Jack had $80 more than Eric. When Jack spent $30, he found that the amount of money he had left was twice s much as Eric had. How much did the boys have altogether at the beginning?
Choose the correct factorization for the polynomial 21xy+15x+35ry+25r
In a survey conducted in an Office, 60% of the sample respondents agreed that employees should have flexible working hours.
If the margin of error is +-2%, the expected population proportion that wanted flexible working hours is between -------% and------%
Answer:
Yes, the answer is between 58% and 62%
Step-by-step explanation:
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