While Playing Yahtzee and rolling 5 dice, Mei gets the result shown at right (the numbers are 2, 4, 4, 4, and 1). Mei decides to keep the three fours and reroll the other 2 dice. a. what is the probability that Mei will have 5 of a kind? b. What is the probability that she will have 4 of a kind? c. what is the probability that she will have exactly three 4's?
10 POINTS + BRAINLIEST ANSWER!!
Given the right triangle PQR below, which of the following is equal to y/x?
A. cos P
B. cos Q
C. tan P
D. tan Q
The value of tan P = y /x , Option C is the right answer.
What is a Right Angled Triangle ?A triangle in which one of the sides is 90 degree is called a Right angled Triangle.
A right angled Triangle is given in the question
The sides of the triangle is x and y
The trigonometric ratios are given and it has to be determined that x/ y represents which one of the given option.
The value of tan x = Perpendicular / Base
y/ x = Perpendicular / Base for angle P
Therefore , The value of tan P = y /x , Option C is the right answer.
To know more about Right angled Triangle
https://brainly.com/question/3770177
#SPJ2
Quadrilateral ABCD is inscribed in circle O.
What is m∠B ?
Enter your answer in the box.
The measure of angle B is 125 degrees in the given quadrilateral inscribed in circle O.
In a quadrilateral inscribed in a circle, opposite angles are supplementary.
Therefore, we can set up the equation:
∠A + ∠C = 180 degrees
Substituting the given values:
(2x-7) + (x+4) = 180
Combining like terms:
3x - 3 = 180
Adding 3 to both sides:
3x = 183
Dividing both sides by 3:
x = 61
Now we can find ∠B:
∠B = 2x + 3
∠B = 2(61) + 3
∠B = 122 + 3
∠B = 125
Therefore, m∠B is equal to 125 degrees.
To know more about quadrilateral, refer here:
https://brainly.com/question/32841982
#SPJ6
What is the value of x
PLEASE ANYONE
HELP
I think its 120 + 15x ≤ 360
IS that Correct!!??
A sum of _________ can be factored according to the pattern (a + b)(a2 - ab + b2).
Solution:
we are given with [tex] (a + b)(a^2 - ab + b^2) [/tex]
we have been asked to find the representation of the given factor as a Sum.
As we know that
[tex] (a^3+b^3)= (a + b)(a^2 - ab + b^2) [/tex]
Because
[tex] (a + b)(a^2 - ab + b^2)=a(a^2 - ab + b^2)+b(a^2 - ab + b^2)\\
\\
(a + b)(a^2 - ab + b^2)=a^3-a^2b+ab^2+ba^2-ab^2+b^3\\
\\
(a + b)(a^2 - ab + b^2)=a^3+b^3\\ [/tex]
The length of a shadow of a building is 32 m . the distance from the top of the building to the tip of the shadow is 38 m . find the height of the building. if necessary, round your answer to the nearest tenth.
A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points L(−3,10) , M(6,10) , and P(−3,−6) . Point N is the fourth vertex of the rectangle. How long is the side of the rectangle connecting points M and N?
Answer:
answer 16 or 1.6
Step-by-step explanation:
find the geometric mean between 18 and 2,
Please show work! Thank you
Calculate.
0 = x² + 10x + 16
Enter your answers in the boxes.
Catie is trying to determine the height that a ladder reaches as it leans against a wall. She walks under the ladder and touches her forehead to it as shown. If her feet are 16 inches from the ladder's base, the ladder's base is 4.5 feet from the bottom of the wall, and Catie is 5 feet 6 inches tall, then come up with an estimate for how high the ladder reaches up the wall to the nearest tenth of a foot. Watch your units on this problem and show all work
To find the height the ladder reaches up the wall, set up a proportion using similar triangles and Catie's height as the ladder's height. The estimate for the ladder's height up the wall is 6.8 feet.
Given information:
Catie is 5 feet 6 inches tall.Her feet are 16 inches from the ladder's base.The ladder's base is 4.5 feet from the bottom of the wall.To find the height the ladder reaches up the wall, we can set up a proportion using similar triangles. Catie's height can be considered as the ladder's height, and the distance on the wall can be related to the ladder's base and height.
Using the information provided and performing the calculations, the estimate for the height the ladder reaches up the wall would be approximately **6.8 feet** to the nearest tenth of a foot.
Which shows one way to determine the factors of x3 – 9x2 + 5x – 45 by grouping?
Answer:
x(x2 + 5) – 9(x2 + 5)
Step-by-step explanation:
I don't understand how to do this one, any help??
Is it a.?
The real part of the complex number –5 + 3i is
Real part of the complex number [tex]-5 + 3i[/tex] is -5.
What is complex number?" Complex numbers are such numbers which expressed in form of [tex]a+ i b[/tex], where 'a' represents the real part and b represents the imaginary part containing [tex]i[/tex] . Value of [tex]i = \sqrt{-1}[/tex]."
According to the question,
Given complex number,
[tex]-5 + 3i[/tex]
Compare it with general form of complex number [tex]a+ i b[/tex] we get,
Real value of( [tex]-5+ 3i[/tex]) = -5
Imaginary value of [tex]-5+ 3i[/tex] = 3
Hence, real part of the complex number [tex]-5 + 3i[/tex] is -5.
Learn more about complex number here
https://brainly.com/question/10251853
#SPJ2
sin 4 theta
hey, how do you simplify sin 4 theta? using double angle theory?
identify the image of xyz for a composition of two 270 degree rotation and a 90 degree rotation both about point x.
Answer:
The answer is D
Step-by-step explanation:
One day a store sold 29 sweatshirts. White ones cost $10.95 and yellow ones cost $ 13.50. In all, $353.25 worth of sweatshirts were sold. How many of each color were sold?
What is the trigonometric ratio for cosD ?
Enter your answer, as a simplified fraction.
A lighthouse is 15m above sea level.
The lighthouse operator sights a boat at an angle of depression of 25 degrees.
How far is the boat from the lighthouse?
Round your answer to the nearest tenth.
Answer:
41.2
Step-by-step explanation:
Answer to question 3
What is the area of this figure?
Enter your answer in the box.
units²
Answer:
The answer to this is 42 units²
Step-by-step explanation:
Please help I don’t understand it
Can there be a right triangle with side lenghts of 1,2,3
How much more interest is owed on $900 for 9 months then for 6 months? 6 months = 2.4% rate 9 months = 2.9% rate
The interest is $8.77 owed in the amount of $900 for 9 months more than for 6 months.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, The rate of interest is in percentage r% and is to be written as r/100
To determine interest on the amount of $900 for 9 months
Here P = $900, R = 2.9% = 2.9/100, and T = 9/12 year
Interest = P × R × T
Interest = 900 × 2.9/100 × 9/12
Interest = $19.57
To determine interest on the amount of $900 for 6 months
Here P = $900, R = 2.4% = 2.4/100, and T = 6/12 year
Interest = P × R × T
Interest = 900 × 2.4/100 × 6/12
Interest = $10.80
The difference of interest is owed on $900 for 9 months then for 6 months: $19.57 - $10.80 = $8.77
Therefore, the interest is $8.77 owed in the amount of $900 for 9 months more than for 6 months.
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ2
Can someone give me the answer to the question?
The single equivalent discount rate of 9/5/4 is .17008. True or False?
If the discriminant of a quadratic equation is greater than zero, which of the following is true of the equation?
A. It has two complex solutions.
B. It has one real solution.
C. It has two real solutions.
21/80 as a percentage
The function y = 41 ? 0.95x models the difference (in minutes) between men's and women's finishing times for the boston marathon. the number of years since women first officially ran the race in 1972 is represented by x.
a. does the exponential function represent growth or decay?
b. estimate the difference between finishing times in 1990.
c. predict the difference between finishing times in 2005.