Given:
In triangle GHI, h = 300 inches, G=30° and H=29º.
To find:
The length of i.
Solution:
We have, G=30° and H=29º.
Using angle sum property, we get
[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]
[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]
[tex]59^\circ+m\angle I=180^\circ[/tex]
[tex]m\angle I=180^\circ-59^\circ[/tex]
[tex]m\angle I=121^\circ[/tex]
According to Law of sines,
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
Using Law of sines, we get
[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]
[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]
[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]
Multiply both sides by 0.8572.
[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]
[tex]530.44554=i[/tex]
[tex]i\approx 530[/tex]
Therefore, the length of i is about 530 inches.
what is the soultons from least to greatest (x+6)(-x+1)=0
Classify the following polynomials by degree and number of terms.
1. 4p3 + 2p2 + 19p - 5
Given:
The polynomial is:
[tex]4p^3+2p^2+19p-5[/tex]
To find:
The degree and number of terms.
Solution:
Degree of a polynomial: It is the highest power of the variable.
Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".
We have,
[tex]4p^3+2p^2+19p-5[/tex]
In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.
The given polynomial can be written as:
[tex]4p^3+2p^2+19p+(-5)[/tex]
So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].
Therefore, the degree of the given polynomial is 3 and the number of terms is 4.
The classification by degree and number of terms of degree 3 and 4 terms
Degree of polynomialGiven the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.
The highest power of the given polynomial is its degree. Hence the degree of the polynomial is 3Also, the given polynomial contains 4 terms.
In conclusion, the classification by degree and number of terms of degree 3 and 4 terms
Learn more on degree of polynomial here: https://brainly.com/question/25538519
HELP PLEASE!!!!!!!!
Answer:
B- 110
Step-by-step explanation:
If that curve is 110 then the angle is as well.
Please help on this!!! Thanks!!
Answer:
7y=4y +9(corresponding sides of congruent triangle)
or,7y-4y=9
or, 3y=9
or,y=9/3
so,y=3
now
ST=7y=7×3=21
again
TU=4y+9=4×3+9=21
hope this will help you more
El espesor de un borde de un componente de una aeronave está distribuido de manera uniforme entre 0.05 y 1.05 milimetros.Obtenga la función de distribución acumulada del espesor del borde.Calcule la proporción de bordes cuyo espesor es mayor que 1.02 milimetros.Qué espesor estEa excedido por el 90% de los bordes.Calcule la media y la varianza del espesor.
Answer:
a) [tex]F(x)\begin{cases} & 0\text{ if } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ if } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ if } x \geq 1.05 \end{cases}[/tex]
b) 0.03
c) 0.15
d) La media es 0.55
La varianza es 8.[tex]\overline 3[/tex]
Step-by-step explanation:
La variación del espesor del componente de la aeronave = 0.05 a 1.05
El pdf de la variable 'X' se da de la siguiente manera;
[tex]f(x) = \dfrac{1}{1.05 - 0.05} = 1[/tex] por 0.05 < x < 1.05
a)
[tex]F(x)\begin{cases} & 0\text{ si } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ si } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ si } x \geq 1.05 \end{cases}[/tex]
b) Para la proporción de los bordes que con un espesor superior a 1.02 milímetros, obtenemos;
P(X > 1.02) = 1 - F(1.02) = 1 - (1.02 - 0.05) = 0.03
P(X > 1.02) = 0.03
La proporción de bordes que tienen un espesor mayor que 1.02 = 0.03
c) El espesor, 'x', excedido en el 90% de los bordes, se encuentra de la siguiente manera;
P(X > x) = 1 - F(x)
∴ 90/100 = 0.9 = 1 - F(x) = 1 - (x - 0.05)
x - 0.05 = 1 - 0.9 = 0.1
x = 0.1 + 0.05 = 0.15
∴ El espesor excedido en el 90% de los bordes, x = 0.15
d) Para una variable aleatoria uniforme continua, a ≤ x ≤ b, tenemos;
[tex]El \ significado, \mu = E(X) = \dfrac{(a + b)}{2}[/tex]
[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(b - a)^2}{12}[/tex]
Para la distribución de espesor de borde dada, tenemos;
0.05 < x < 1.05
[tex]\therefore El \ significado, \mu = E(X) = \dfrac{(0.05 + 1.05)}{2} = 0.55[/tex]
El significado E(X) = 0.55
[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(1.05 - 0.05)^2}{12} = 1/12 = 8.\overline 3[/tex]
La varianza, V(X) = 8.[tex]\overline 3[/tex]
The Large Hadron Collider is a tube formed into a circular loop measuring 4.3 km in diameter. It is used by physicists to accelerate atoms into each other to break them apart and observe new subatomic particles. An atom is accelerated 240 degrees around the loop before colliding with another atom. What is the distance that the atom traveled? Round your answer to the nearest hundredth. Units not necessary.
Answer:
9005.90 m
Step-by-step explanation:
The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by
S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:
240° × (2pi/360°) = 4.19 radians
Therefore, the distance traveled by the atoms is so equal to the arc length S so
S = (2150 m)×(4.19 rad) = 9005.90 m
Please help this is a test and I don’t know what to do.
Answer:
u need to breath and calm down
Step-by-step explanation:
breath in and out for 5 sec u will feel better
All together Maria and Nick had $12. After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount. How much money did Nick have to begin with?
Answer:
$4.5
Step-by-step explanation:
Let the amount of money
Maria had = x
Nick had = y
All together Maria and Nick had $12.
= x + y = 12
x = 12 - y
After Maria spent 30% of her money and Nick spent 50 % of his money, Maria and Nick were left with the same amount.
30% of x = 50% of y
30/100 × x = 50/100 × y
0.3x = 0.5y
We substitute 12 - y for x above
0.3(12 - y) = 0.5y
3.6 - 0.3y = 0.5y
3.6 = 0.5y + 0.3y
3.6 = 0.8y
y = 3.6/0.8
y = $4.5
Therefore, in the beginning, Nick originally had $4.5
Please help my test is this week ;/
The perimeters of a square and a rectangle are equal. One side of the rectangle is 11 cm and the area of the square is 4 cm2
more than the area of the rectangle. Find the side of the square.
The answer is X= 9 cm or X= 13 cm
Step-by-step explanation:
Let x=one side of the square; y=one side of the rectangle:
The perimeters are equal, so 4x=2y+22, or y=2x-11. The areas are given by x^2, and 11(2x-11). Since the square is 4 cm^2 larger than the rectangle, we get:
x^2-4=11(2x-11)
x^2-4=22x-121
x^2-22x+117=0
(x-13)(x-9)=0
x=13, or 9
Plugging 13 into our original equation, we get a square 13X13 or 169cm^2, and a rectangle (26-11)X 11, or 165cm^2, which satisfies our requirements!!!!!!
An astronaut who weighed 150 pounds on Earth found that his weight on Jupiter was 400 pounds. He captured an alien that weighed 120 pounds on Jupiter. What is the alien's weight on Earth?
a.
45 pounds
c.
500 pounds
b.
30 pounds
d.
320 pounds
Please select the best answer from the choices provided
A
B
C
D
Which situations can be modeled by a linear function?
Answer:
A, C, E
Step-by-step explanation:
In the diagram below of triangle NOPNOP, QQ is the midpoint of \overline{NP}
NP
and RR is the midpoint of \overline{OP}
OP
. If m\angle PON=-5x+171∠PON=−5x+171, and m\angle PRQ=-9x+207∠PRQ=−9x+207, what is the measure of \angle PON∠PON?
N
Answer:
126 degrees
Step-by-step explanation:
Which of the following expressions can be used to find how many meters it is from Washington, D.C.,To Baltimore
PLEASE HELP THIS IS OVERDUE!!
Answer:
It is y=2x+4.
Step-by-step explanation:
Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.
The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).
Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).
From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.
With this, we can plug in the parts we need to get the final answer:
y = (2 Slope) x + (4 Y-Intercept)
y=2x+4
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
Written in the form [tex]y=mx+c[/tex]
The constant c is where the line intercepts the y-axis.
From the graph we can determine that c is equal to 4.
m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.
From the graph we can pick out 2 points that lie on the line:
Point 1 (0,4)
Point 2 (1,6)
So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]
Now let's rewrite it in the form [tex]y=mx+c[/tex].
[tex]y=2x+4[/tex]
Find the circumference of the given circle. Round your answer to the nearest whole number.
Answer:
circumference = 31 inches
Step-by-step explanation:
using the Pythagorean theorem:
diameter² = 8² + 6² = 100
diameter = √100 = 10
circumference = 10 x 3.14 = 31.4 inches
HI could some one pleaseeee HELP ME !!!
Answer:
The answer is 48
Step-by-step explanation:
Substrac 180-132 and that's the answer
due soon!!!
find the value of x
Answer:
30 degrees
Step-by-step explanation:
see the opposite side. it is the same thing but upside-down.
(remember straight line is 180 degrees)
Calculate the area of the shape.
Answer:
295 ft is the area of this shape
Does anyone know the answer for this?
15y - 2y + 29 = 5y -27
Answer:
y=-7
Step-by-step explanation:
Answer:
8y=-56
Step-by-step explanation:
Subtract 15y-2y
after you get 13y subtract 5y which is 8y
afterwards subtract -29-27 which is addition and you get -56
y=-7
convert 2.5 tons into pounds
Answer:
5000 pounds
Step-by-step explanation:
2.5 x 2000 pounds in a ton
5000 pounds
An electrician needs 3/4 roll of electrical wire to wire each room in a house . How many rooms can he wire with 6 rolls
Answer:
8 rooms
Step-by-step explanation:
6 ÷ 3/4 which equals 6 x 4/3 = 8
Answer:
8 rooms
Step-by-step explanation:
6 / (3/4) = 8
Which expression is equivalent to (1.009 1/12) 12t?
A. 1.000712t
B. 1.007512t C.1.009012t
D 1.113512t
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
make a sentence with antonyms of
go and beatiful
Answer:
Stop believing that you are ugly.
Classify the triangle by its sides and angles
Answer:
Obtuse Scalene Triangle
Give me Brainliest if I'm correct , please ! :)
How do I solve a probability question?
A newspaper editor wants to know whether people who buy the newspaper like the paper’s new format. He prints an alphabetical list of all the employee names and asks every fifth person on the list. Is the sample likely to be biased or unbiased? Explain your answer.
Answer:
I know that's it's Biased but I can't fully get my answer out.
I beleive its biased because he is only asking those who works for the newspaper but every fifth person
I think this answer was help you
can anyone please help me I'm timed
Answer:
Triangles ABC and ADC are congruent because they all have the same angles. AC bisects angle A which means that both triangles have the same angle measurement. C is a 180 degree angle and is bisected, meaning that both angles created are 90 degree angles and thus the same degree measurement.
Another reason why they are congruent is because the sides are equal. AB and AD are the same length because the picture shows a singular line on both sides meaning they are the same. The height of both triangles are the same because they share a height. BC and CD are the same length because AC is bisecting BD, meaning both sides are equal in length. Thus, both triangles have the same side measurements.
Answer:
yes it's all correct good luck
What is the perimeter of triangle PQR.
5 units
10 units
√5+3 √2units
2 √5 + √10 units
Answer:
Opps i am really sorry i donot know it
Answer:
Step-by-step explanation:
It's 5 units
The probability that Gerald makes a three-point shot in basketball is 20\%20%20, percent. For practice, Gerald will regularly shoot a series of these shots until he succeeds at one. He's curious how many shots it will typically take him to get his first successful shot.
He simulated 404040 trials of three-point shots where each shot had a 0.20.20, point, 2 probability of being successful, and in each trial, he counted how many shots it took to get the first successful shot. Here are his results:
Use his results to estimate the probability that it takes 101010 or fewer shots to get his first successful shot.
Give your answer as either a fraction or a decimal.
Answer:
[tex]P(x \le 10) = 0.85[/tex]
Step-by-step explanation:
Given
See attachment for properly presented question
Required
[tex]P(x \le 10)[/tex]
From the question, we understand that he takes 40 shots (trials)
So:
[tex]n = 40[/tex]
From the attached plot, the number of attempts up to the 10th is:
[tex]x \le 10 = 9+6+5+4+4+2+2+0+1+1[/tex]
[tex]x \le 10 = 34[/tex]
So, we have:
[tex]P(x \le 10) = \frac{n(x \le 10)}{n}[/tex]
[tex]P(x \le 10) = \frac{34}{40}[/tex]
[tex]P(x \le 10) = 0.85[/tex]