Answer:
10
Step-by-step explanation:
The measure of an angle∠I is 10 degrees between the 450 cm and 640 cm sides.
What is the Cosine Rule?The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
c² = a² + b² − 2ab cos(C)
The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.
In the given triangle ΔHIJ,
Sides:
h = 450 m
i = 210 m
j = 640 m
The angle of ∠I is 10 degrees between the 450 cm and 640 cm sides.
According to the cosine rule,
j² = h² + i² − 2ab cos(I)
Substitute the values in the Cosine Rule,
450² = 210² + 640² - 2(210)(640)cos(I)
After solving we get the value of angle ∠I :
∠I = 9.56038°
Rounded to the nearest degree.
∠I = 10°
Thus, the measure of an angle∠I is 10 degrees.
Learn more the cosine rule here:
https://brainly.com/question/29717637
#SPJ2
The relationship between two numbers is described below, where x represents the first number and y represents the second number.
The square of the first number is equal to the sum of the second number and 16. The difference of 4 times the second number and 1 is equal to
the first number multiplied by 7.
Select the equations that form the system that models this situation. Then, select the solution(s) of the system.
X=y+16
4y-1=7
Solve on both sides
4y=8
Y=8/2
Y=4
X= (4)+16
X=20
Hannah wants to save 1/3 of her allowance each week to buy a new dress that costs $45.00. if her allowance is $6.00 each week, how many weeks will she have to save to buy the dress?? PLEASE HELP PLEASE ASAP!! WILL MARK BRAINLIEST!!!
Answer:
It will take 22.5 weeks for her to save up to buy the dress.
Step-by-step explanation:
1/3 of $6.00 is 2.
(6 ÷ 3 = 2)
So she's saving $2 each week.
Now we need to divide $45 by $2 to get the number of weeks.
45 ÷ 2 = 22.5
Answer this please, will give 100 points.
Answer:
y=x doesent that mean 2=3 so what you do is the line that goes up thats y and the one that goes sideways thats x so at the to go to 2 then at the side go to 3
Answer:
Step-by-step explanation:
y=x doesent that mean 2=3
Two semicircles are placed in a rectangle, as shown below. The length of the rectangle is 48. And do not round your answer. Be sure to include the correct unit in your answer.Find the area of the shaded region. Use the value 3.14 for , a
Answer and Step-by-step explanation:
Firstly, we should note that the rectangle given is a square. This is because, the diameter of the semicircle is the same horizontally and vertically
Since the length of the rectangle is 48, it means the radius of each semi circle is 24.
The area of one semicircle will be:
0.5πr²
Where r = 24 and π = 3.14
0.5 x 3.14 x 24 = 37.68 square units
Since we have two semicircles, then the area of both will be:
37.68 x 2 = 75.36 square units.
To find the area shaded portion. Since I cannot see the diagram, there are two possibilities. If the shaded potion is just the two semicircles, then the area is 75.36 square units. But if the shaded portion is what ever remains after taking out the semicircles, then the area would be:
48² – 75.36 = 2133.64 square units.
which of the following equations represents the graph?
A. y = 3/4x - 3
B. y = 3/4x + 4
C. y = 4/3x - 3
D. y = 4/3x + 4
Answer:
D) 4/3 x + 4
Step-by-step explanation:
The y-intercept is at point (0, 4) and the x--intercept is at point (-3, 0).
The equation for every straight line is y = mx + b. y is y, m is the slope, x is x, and b is the y value in the y-intercept
Now we will use the formula for slope, which is rise/run or more understandable , the change in y/change in x.
y2 - y1/x2 -x1
0 - 4/-3 - 0
-4/-3 = 4/3
Remember when I said the y-intercept was (0, 4) and b was the value of the y in the y-intercept? 4 is the value of y in the y-intercept.
The answer is 4/3x + 4.
Triangle ABC has coordinates A(1, 1); B(2, 5); C(5, 1). What would be the coordinates of A'B'C' if you translated ABC left 2 and up 5 units? (Hint: x-values go left and right; y-values go up and down) *
A'(-1, 6) B'(0, 10) C'(3, 6)
A'(3, -4) B'(4, 0) C'(7, -4)
Answer:
A'(-1, 6) B'(0, 10) C'(3, 6)
Answer:
I would say it's the first one
What is f(3) if f(x) = 2x + 1?
Answer:
f(3) = 7
Step-by-step explanation:
To evaluate f(3), substitute x = 3 into f(x), that is
f(3) = 2(3) + 1 = 6 + 1 = 7
please help! im very confused
Answer:
3d+1=[]
Step-by-step explanation:
first collect the like terms ie 4d-d+9-8
giving you 3d+1
PLEASE SOMEONE HELP MEEE
Answer:
Alternate interior angle
Step-by-step explanation:
Hope this helps.
Answer:
your answer is A ....
which equation represents the line that passes through points (5, 4) and (-5, 0)
The equation should be [tex]y = 2\div 5x + 2[/tex]
Given that,
The points are (5, 4) and (-5, 0)Based on the above information, the calculation is as follows:
here we need to find the slope.
[tex]= (y_2-y_1)\div (x_2-x_1)\\\\= (0-4)\div (-5-5) \\\\= -4\div -10 \\\\= 2\div 5\\\\Y = 2\div 5x + b[/tex]
Now
Put in one point
[tex]4 = 2\div 5(5) + b, b = 2[/tex]
So,
[tex]y = 2\div 5x + 2[/tex]
Learn more: https://brainly.com/question/1301963?referrer=searchResults
Pllzzzz help it’s an exam !!!! A side of the triangle below has been extended to form an exterior angle of 125 . Find the value of x
Answer:35
Step-by-step explanation:
take 180 and subtract those numbers and u get ur answer
4
Erin says. "There are 30 boys in my sports club (to the nearest 10) and 20 girls (to the
nearest 10), so there must be 50 pupils to the nearest 10"
Is she right or wrong?
You must show working to explain your answer.
The simple interest earned on a deposit of $3,000 at 6% for 5 years.
A $9.00
B $90.00
C $900.00
D $9,000.00
SOMEONE PLEASE HELP ME ASAP , ILL PAY JUST HURRY PLEASE
Answer:
pay me first
Step-by-step explanation:
write 268 in scientific notation
Answer:
2.68 x 10 to the second power
Which equation represents the function graphed on the coordinate plane?
g(x)=|x+4|-2
g(x)=|x-4|-2
g(x)=|x-2|-4
g(x)=|x-2|+4
please help me this is due in a couple of minutes!!!!!! please help me.
Answer: A g (x)= [x+4]-2
Step-by-step explanation:
There are 20 children in a class 45% are girls, How many girls and boys are there?
Answer:
Step-by-step explanation:
each person represents 5%. so 45% are girls. 45/5 is 9, so 9 are girls. 20 minus 9 is 11 so 9 girls and 11 boys
The number of girls is 9 and the number of boys is 11.
Important information:
Total number of students = 2045% of total students are girls.Percentage:Using the given information, the number of girls is:
[tex]20\times \frac{45}{100}=9[/tex]
Now, subtract the number of girls from the total number of students.
[tex]20-9=11[/tex]
Therefore, the number of girls is 9 and the number of boys is 11.
Find out more about 'Percentage' here:
https://brainly.com/question/813490
#4 Where is 44 on the number line?
A) At 22.
C) Between 6 and 7, but closer to 6.
B) Between 6 and 7, but closer to 7
D) Between 7 and 8, but closer to 7.
Answer:
B), Between 6 and 7, but closer to 7
Step-by-step explanation:
The square root of 44 is around 6.6, so closer to 7
You can prove this by multiplying 6.6 by itself
6.6 x 6.6 = 43.56
Plz help me with this
Answer
C
Step-by-step explanation:
open circle means not included
What is a fraction form of $1.80?
Answer:Okay, so the first thing to do here is show you that any number can be a fraction if you use a 1 as the denominator. Take a look:
1.80
1
What we really want to do though, is get rid of the decimal places completely so that the numerator in our fraction is a whole number. To do this, we have to count the numbers after the decimal point, which in this case is 80.
To get a whole fraction we need to multiply both the numerator and the denominator by 10 if there is one number after the decimal point, 100 if there are two numbers, 1,000 if it's three numbers and 10,000 if it's...well, you get the idea!
In our case 80 is 2 digits long so we need to multiply the numerator and denominator by 100.
Now we just need to do that multiplication to get our whole fraction:
1.80 x 100
1 x 100
=
180
100
The next step is to simplify this fraction and, to do that, we need to find the greatest common factor (GCF). This is sometimes also known as:
Greatest Common Divisor (GCD)
Highest Common Factor (HCF)
Greatest Common Denominator (GCD)
The GCF can be a bit complicated to work out by hand but you can use our handy GCF calculator to figure it out.
In the case of 180 and 100, the greatest common divisor is 20. This means that to simplify the fraction we can divide by the numerator and the denominator by 20 and we get:
180/20
100/20
=
9
5
And there you have it! In just a few short steps we have figured out what 1.80 is as a fraction. The complete answer for your enjoyment is below:
1 4/5
Note: because 180 is greater than 100 we have simplified this fraction even further to a mixed fraction.
Step-by-step explanation:
Which equation represents the line if m=-3/4 and b=2? (1 Point) O y=-2 + 2 x O x + 2 = 12 y = -x + 2 O y = - 2 x - 2
Answer:
y = -3/4x + 2Step-by-step explanation:
Line formula in slope-intercept form:
y = mx + bGiven
m = -3/4, b = 2Then the formula is:
y = -3/4x + 2None of the answer options match this
y=3x+5 6x - 2y = -10
Answer:
Parallel?
Step-by-step explanation:
6x = 2y + 10
3x = y + 5 divide both sides by 2
y = 3x + 5/3
Sam slopes, different intercepts.
A sequence of numbers can be thought of as a function, where fin) represents the n term of the sequence. Which of the following could be the domain of this function?
positive real numbers
O positive integers
Inational numbers
Orational numbers
Answer:
Rational numbers
Step-by-step explanation I put D on a test and I got it right
in triangle ABC, angle A is 25 degree, and Angle B is 105 degrees. what is the measure of angle c
calculate the perimeter of this figure to the nearest tenth
Answer:
40.9
Step-by-step explanation:
Perimeter = 8 + 10 + 10 + 4 + 8.9
=> 20 + 4 + 8.9 + 8
=> 32 + 8.9
=> 40.9
This is already in the nearest tenth, so the answer = 40.9
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
A recipe needs two and one sixth cups of walnuts and eight and one eighth cups of peanuts. How many cups of 14 or 48 as the domenater nuts are needed for the recipe in all? Please answer!!! It has to have 14 or 48 as the domentater
Answer:
[tex]10\frac{14}{48}[/tex]
Step-by-step explanation:
given data:
recipe = two and one sixth cups of walnuts [tex]2\frac{1}{6}[/tex]
and eight and one eighth cups of peanuts [tex]8\frac{1}{8}[/tex]
solution:
[tex]= 2\frac{1}{6} + 8\frac{1}{8}\\\\= 10 (\frac{1}{6} + \frac{1}{8} )\\[/tex]
[tex]= 10\frac{7}{24}\\or\\= 10\frac{14}{48}[/tex]
Factor the following expression: x^2+3x
On the first day after the new moon, 2% of the Moon's surface is illuminated. On the second day, 6% is illuminated. Based on this information, predict the day on which the Moon's surface is 50% illuminated and 100% illuminated.
illuminated.
PLEASE HELPPPPPPP!!!!!!!!!!!
Answer:
Day 13= 50%
Day 26=100%
Step-by-step explanation:
Answers vary. Sample response: A simple approach is to attempt a linear model starting at Day 1. If the illumination is increased by 4% every day, then after 11 more days (after Day 2) it reaches 50%. In 13 more days, illumination reaches 100%. This gives a prediction of Day 13 for 50% and Day 26 for 100%.
The days where it is illuminated is Day 13= 50% and Day 26=100%
Linear model:Here A simple approach should be considered for linear model that begins at Day 1. In the case when the illumination is increased by 4% every day, so after 11 more days (after Day 2) it reaches 50%. In 13 more days, illumination reaches 100%.
Therefore, we can conclude that The days where it is illuminated is Day 13= 50% and Day 26=100%
Learn more about surface here: https://brainly.com/question/3176584
What does it mean for a line to have an undefined slope?
Answer:
it means it is a vertices line and the x coordinates never change
Step-by-step explanation:
a plumber charges a flat fee of $79 to visit a home and examine a clogged drain the plumber charges an additional $24 per hour spent fixing the drain. the total cost C in dollars for fixing to dream that takes H hours is given by the following :
C=24h + 79
question 1 ? what is the total cost for fixing a drain that takes 5 hours ?
question 2? if the plumber charged a total of $343 how many hours did he spend fixing to drain ?
