Answer:
XY
Step-by-step explanation:
In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.
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.
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Diego made 6 boxes of spaghetti to feed the 20 people who attended his dinner party.
Next time, 50 people are coming! How many boxes of spaghetti should Diego buy to feed all those people?
Diego needs to buy ? boxes of spaghetti.
Answer:
15 boxes!
Step-by-step explanation:
Hope this helps!
The number of boxes of spaghetti required to feed 50 people will be equal to 15 boxes.
What is the ratio?The ratio notion is used in mathematics when evaluating two or more numbers. It works as a comparison tool to demonstrate how big or small a particular number is.
A ratio divides two quantities to compare them.
As per the given information in the question,
Total number of people who attended the party first time = 20
Number of spaghetti boxes required to feed 20 people = 6
Let the number of boxes required to feed 50 people be x.
So, the ratio will be,
6 boxes = 20 people
x boxes = 50 people
Perform cross-multiplication,
20x = 50 × 6
x = (50 × 6)/20
x = 5 × 3
x = 15 boxes.
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Help please give me correct answer
On a field trip, there are 3 adults for every 45 students. Which graph models a relationship
with the same unit rate?
10
9
8
7
6
10
9
8
F
H
0
30 60 90 120 150*
0
30 60
90
120 156
10
9
10
8
6
3
6
5
4
3
2
0
30 60 90 120 150
0
30
60 90 120 150
Answer:
H (the second graph)
Step-by-step explanation:
246.8 is what percent of 128? Round to the nearest thousandth.
Answer:
60%
Step-by-step explanation:
Answer:
Most 193%
Step-by-step explanation:
246.8/128= 1.928
Does anyone know this answer to the question
Answer: 40x4+25 is what you need to do Your answer is 185
Step-by-step explanation:
Answer:
$185
Step-by-step explanation:
25 for the initial fee, then 40 for each hour worked.
40 x 4 = 160
160 + 25 = 185
i suck at this math stuff please help
Answer:
Its the second one
Step-by-step explanation:
(Sorry i am not good at math) Write an expression for the operation described below.
multiply 10 by t
Answer:
Multiplying 10 by t will not work under most circumstances so it would be 10t which means 10*t but if you substitute the t for lets say 4 then you would get 40 but that wasn’t the question so your answer is 10t
This is a math question and if you get it right it is 20 points
Answer:
B
Step-by-step explanation:
8(x – 3) – (6 – 2x) = 2(x + 2) – 5(5 – 2)
Answer:
x= [tex]\frac{19}{8}[/tex]
Step-by-step explanation:
8(x−3)−(6−2x)=2(x+2)−5(5−2)
Step 1: Simplify both sides of the equation.
8(x−3)−(6−2x)=2(x+2)−5(5−2)
8(x−3)+−1(6−2x)=2(x+2)−5(5−2)(Distribute the Negative Sign)
8(x−3)+(−1)(6)+−1(−2x)=2(x+2)−5(5−2)
8(x−3)+−6+2x=2(x+2)−5(5−2)
(8)(x)+(8)(−3)+−6+2x=(2)(x)+(2)(2)+−5(5−2)(Distribute)
8x+−24+−6+2x=2x+4+−15
(8x+2x)+(−24+−6)=(2x)+(4+−15)(Combine Like Terms)
10x+−30=2x+−11
10x−30=2x−11
Step 2: Subtract 2x from both sides.
10x−30−2x=2x−11−2x
8x−30=−11
Step 3: Add 30 to both sides.
8x−30+30=−11+30
8x=19
Step 4: Divide both sides by 8.
8x/8=19/8
Answer: x=[tex]\frac{19}{8}[/tex]
8(x - 3) - (6 - 2x) = 2(x + 2) - 5(5 - 2)
8*x - 8*3 - 6 + 2x = 2*x + 2*2 - 5*3
8x - 24 - 6 + 2x = 2x + 4 - 15 ( Cancel equal terms on both sides of the equation)
8x - 24 - 6 = 4 - 15
8x - 30 = -11
8x = -11 + 30
8x = 19
x = 19/8
field biologist collects 220 butterflies and moths. He collects 4 butterflies for every moth. How many butterflies and how many moths does he collect?
Answer:
The number of butterflies he collects = 176
The number of moth he collects = 44
Step-by-step explanation:
This question has to do with ratio.
We are told in the question that:He collects 4 butterflies for every moth.
Hence, the ratio of
Butterflies : Moth
4 : 1
Sum of the proportion = 4 + 1 = 5
We are also told he has a total of 220 butterflies and moths.
Hence:
The number of butterflies he collects is calculated as
4/5 × 220 = 176 butterflies
The number of moth that he collects =
1/5 × 220 = 44 moth
Answer:
Step-by-step explanation:
176 butterflies and 44 moths
A boat goes 24 miles at a constant speed in 4 hours against a river current.
It takes the boat 3 hours to go the same distance at the same speed with the
current of the river. What is the speed of the boat and what is the current of
the river?
The speed of the boat is 7 miles/hour and the current of the river is 1 mile/hour.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
A boat goes 24 miles at a constant speed in 4 hours against a river current.
It takes the boat 3 hours to go the same distance at the same speed with the current of the river.
Let's suppose the speed of the boat is x miles/hour and the current of the river is y
x- y = 24/4
x - y = 6 ..(1)
x + y = 24/3
x + y = 8 ..(2)
Adding equation (1) and (2):
2x = 14
x = 7 miles/hour
y = 8 - 7 = 1 miles/hour
Thus, the speed of the boat is 7 miles/hour and the current of the river is 1 mile/hour.
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At a football game three out of the first five student that arrived were wearing a jacket based on his information if 300 students attend the game how many students could be expected to not be wearing a jacket
Answer:
120 students students could be expected to not be wearing a jacket
Step-by-step explanation:
Based on this, we can work with the assumption that 3/5 of the students that entered the stadium were wearing jackets.
Given that the total population of students that attended the game is 300
This means that 3/5 of the 300 = 180 students.
180 students were estimated to be wearing jackets.
The number of students that were without jackets is 300 - 180 = 120 students
social experiment in herd socialization. if your best friend did what? would you follow select the one that has to do with herd social.
A. Says thank you to her mom
B. does a bahhhhhhhhhhhhd thing
C. join a school they arent going to because its fun
D. Remove them from instat because they talked sad about sheep
choose wisely no redos this is %20 of your grade
What is the area, in square meters, of the rhombus above?
Answer:
C
Step-by-step explanation:
Answer:
Answer is D
Step-by-step explanation:
In order to find the answer you would need to multiply 7 square meters by 7.9 square meters which would get 55.3 square meters.
3(2x + 4) + 2(x-2)
Match the equivalent expressions
Answer:
3(2x+4)+2(x-2)
6x+12+2x-4
6x+2x+12-4
8x+8
I am from grade 9 from which grade are you
WHICH OF THE FOLLOWING REPRESENTS A NON LINEAR EQUATION
Answer:
y = 3/x
Step-by-step explanation:
A group of 5 friends go to a basketball game each person but a tickets for the game and 2 cans of soda. Let t represent the cost of a ticket and c represent the cost of a can of soda. write two different expression that represent the total amount this group spent
Answer:
5(g + 2s)
5g + 10s
G stands for game ticket and s stands for soda ticket.
Step-by-step explanation:
Let the ticket for the game be g and for soda be s.
This implies that one person spent
g + 2s.
Since they are five in number, they all spent in total:
5(g + 2s), this is the first expression.
The second way of expressing it is opening the brackets, so we have:
5g + 10s, this is the second expression.
Rogelio's pay for working part-time at his father's
shop was $24.25, $26.25, $23.50, $32.55, $28.35,
$30.80 and $27.50. What is the median of his
νησος 2 ?
Answer:
The Median of all these numbers is $32.55
Step-by-step explanation:
Plz help!!
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HELPPPP!!!!
Water flows through a pipe at a rate of 6 milliliters per hour. Express this rate of flow in pints per day. Round your answer to the nearest hundredth.
Answer: Water flows through a pipe at a rate of about 502 milliliters per hour.
Step-by-step explanation:
The flow rate in pints per day will be 0.304 pints/day of the given flow rate.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
For example conversion of a kilometer to a meter is to multiply by 1000 but meter and kilometer both unit is for distance only.
Another example could be kilo gram to gram.
Given,
Flow rate = 6 milliliter/hour
Since, 1 pint = 473 ml ⇒ 1 ml = 1/473 pint
And 1 day = 24 hours ⇒ 1 hour = 1/24 day
Now,
6 milliliter/hour = 6 × 1 ml/1 hour
6 milliliter/hour = (6/473) × 24
6 milliliter/hour = 0.304
Hence "The flow rate in pints per day will be 0.304 pints/day of the given flow rate".
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What is the slope of the line?
Answer:
- 7/4
Step-by-step explanation:
1) (y2 - y1)/(x2 - x1)
2) pick two points, mine were (1,-3) and (-3,4)
3) Substitute the values (4+3)/(-3-1)
4) Solve and no matter what points you’ll get -7/4
(Geometry) Determine the relationship between the two given lines:
Y=-2x+8
Y=-2x+5
a. Perpendicular because slopes are equal
b. These slopes are neither perpendicular nor parallel
c. Parallel because slopes are equal
d. Parallel because slopes are opposite reciprocals
e. Perpendicular because slopes are opposite reciprocals.
am ÷ an = _________
On a map with a scale of 0.25 inch = 30 miles the distance between two cities is 8.3 inches
Answer:
Step-by-step explanation:
8.3÷0.25
Multiply that by 30 and you get 996
The actual distance between the two cities will be 996 miles.
What is the distance?Distance is defined as the product of speed and time.
Scale is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
The given scale is 0.25 inches on the map representing 30 miles.
If the distance between two cities is 8.3 inches
As per the given scale, the actual distance between the two cities will be as:
⇒ 8.3 × 30/0.25
⇒ 83/10 × 3000/25
⇒ 249,000/250
Apply the division operation, and we get
⇒ 996 miles
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The question seems to be incomplete the correct question would be:
On a map with a scale of 0.25 inch = 30 miles the distance between two cities is 8.3 inches. find the actual distance between two cities?
Which of the following is the lowest cost per can?
A. 3 cans of juice for $3.80
B.
5 cans of juice for $6.15
C.
8 cans of juice for $9.52
D.
12 cans of juice for $14.58
Answer:
The answer is C. 8 cans of juice for $9.52
Step-by-step explanation:
A. About $1.27 per can
B. $1.23 per can
C. $1.19 per can
D. About $1.22 per can
According to the calculations, 8 cans of juice for $9.52 is the lowest cost out of the four answer choices.
Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c cakes using f cups of flour.
Which of these equations represent the relationship between c and f? Highlight the correct answer.
Answer:
f/c
Step-by-step explanation:
it is bcs 913/4 and the same concept is used
What is the measure of x?
90°
120°
108°
100°
Answer:
108
I hoped that helped
5у - 4х = -7
2y + 4x = - 14
A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4
Answer:
Maybe figure 2
Step-by-step explanation:
If it is correct then
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