A triangle has a base length of 3.1 cm and corresponding height of 4.2 cm, correct to
one decimal place. Calculate the upper and lower bounds for the area of the triangle as
accurately as possible.
Answer:
The upper bound of the area is 6.69375 cm²
The lower bound of the area is 6.32875 cm²
Step-by-step explanation:
The question relates to measurements and accuracy
The given information are;
The base length of the triangle = 3.1 cm
The height of the triangle = 4.2 cm correct to one decimal place
The lower bound for the base length of the triangle = 3.05 cm
The upper bound for the base length of the triangle = 3.15 cm
Similarly, the lower bound for the height of the triangle = 4.15 cm
The upper bound for the height of the triangle = 4.25 cm
The formula for calculating the area of a triangle is given by the following formula;
Area of a triangle = 1/2 × Base × Height
The upper bound of the area = 1/2 × The upper bound of the base × The upper bound of the height
The upper bound of the area = 1/2 × 3.15 × 4.25 = 6.69375 cm²
The upper bound of the area = 6.69375 cm²
The lower bound of the area = 1/2 × The lower bound of the base × The lower bound of the height
∴ The lower bound of the area = 1/2 × 3.05 × 4.15 = 6.32875 cm²
The lower bound of the area = 6.32875 cm²
Mr.V's trail mix uses 1/2cup of peanuts, 2 1/4 cups raisins, and he uses 2 times more sunflower seeds than raisins.How many total cups of trail mix can mix can Mr.V make
Answer:
The total number of cups is 9 1/2 cups
Step-by-step explanation:
Here, we are interested in calculating the total cups of trail mix that Mr V can make.
From the question, we are told that he used 1/2 cups of peanuts, 2 1/4 cups of raisins and 2 times more sunflower seeds than raisins.
So basically, we need to find the number of cups of sunflower seeds used.
The information we have here is that he used 2 times more of raisins;
Thus, the number of cups of sunflower would be 2 * 2 1/4 = 2 * 9/4 = 9/2. But practically is 9/2 , two times more than 2 1/4? NO!
What we should do here is to add 9/2 to 2 1/4. In that case, the difference between the two will be 2 times the cups of raisins;
So 9/2 + 9/4 = (18 + 9)/4 = 27/4
So the total number of cups of trail mix that can be made will be;
1/2 + 27/4 + 9/4 = (2 + 27 + 9)/4 = 38/4 = 19/2 = 9 1/2 cups
-12x + 18 – 10x – 5 = -31
Answer:
22
Step-by-step explanation:
Step 1:
- 12x + 18 - 10x - 5 = - 31
Step 2:
- 22x + 18 - 5 = -31
Step 3:
- 22x + 13 = - 31
Step 4:
- 22x = - 44
Answer:
x = 22
Hope This Helps :)
Answer:
Your answer is x = 2
Step-by-step explanation: [tex]-12x + 18-10x-5 = -31[/tex]
subtract 18 - 5 = 13 and add -12x+(-10x)= -22x
[tex]-22x+13=-31[/tex] subtract 13 on both sides
[tex]-22x+13(-13)=-31(-13)[/tex] cross out +13(-13) and -31-13= -44
[tex]-22x=-44[/tex] divide -22 on both sides
[tex]\frac{-22x}{-22} = \frac{-44}{-22}[/tex] cross -22x/-22 and divide -44 and -22= 2
[tex]x = 2[/tex]
I need helpppp with this question
Answer: Y = 6 and X = 5
Step-by-step explanation: Im not sure But i think that that your supposed to subtract by 2 so 8 - 2 would equal 6 and then 7-2 equals 5 so yeah
7x^2+8=18x Need help learning factoring please put work so I can understand
Answer:
(x - 2)(7x - 4)=0
Step-by-step explanation:
[tex]7 {x}^{2} + 8 = 18x \\ 7 {x}^{2} - 18x + 8 = 0 \\ 7 {x}^{2} - 14x - 4x + 8 = 0 \\ 7x(x - 2) - 4(x - 2) = 0 \\ (x - 2)(7x - 4) = 0[/tex]
whats the answer thanks
Answer:
3
Step-by-step explanation:
closed circle=equal to
how to do this question c. I know how to do b and a 6,0,3,2,2,5 that they scored
Answer:
I’m pretty sure you have to multiply the 4 because that’s how many points you get per Galo and multiply by 7 because it was the seventh game so 28.
Step-by-step explanation:
Find the difference: 34x-4x+2y=?
Answer: The answer is 30x-2y
Step-by-step explanation: Subtract 4x from 34x to get 30x. Then the rest just falls down and you are left with 30x-2y. Also can you please give me a brainliest. I really need one.
Solve the equation for the variable. Make sure your answer is in simplest form.
[tex] - 3 - 39x = 11x - 23[/tex]
[tex]x = \frac{?}{?} [/tex]
Enter the numbers that belong.
Answer:
Here's your answer
hope this helped you
please mark as the brainliest (ㆁωㆁ)
Answer:
x = [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Given
- 3 - 39x = 11x - 23 ( subtract 11x from both sides )
- 3 - 50x = - 23 ( add 3 to both sides )
- 50x = - 20 ( divide both sides by - 50 )
x = [tex]\frac{-20}{-50}[/tex] = [tex]\frac{2}{5}[/tex]
[tex]x(x^2+8)=8(x+1)[/tex]x(x^2+8)=8(x=1)
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]x\left(x^2+8\right)=8\left(x+1\right)[/tex]
Expand:
[tex]x\times x^2+8x=8x+8\times 1[/tex]
[tex]x^3+8x=8x+8[/tex]
Subtract 8x from both sides:
[tex]x^3+8x-8x=8x+8-8x[/tex]
[tex]x^3=8[/tex]
Cube root both sides:
[tex]\sqrt[3]{x^3} =\sqrt[3]{8}[/tex]
[tex]x=2[/tex]
Which ordered pair on the graph represents the situation described in part F?
B
1
U
X'
X
Font Sizes
Answer:
The point (3, 9) represents 3 kilograms of weight with a spring stretch of 9 inches.
Step-by-step explanation:
3. If the point (3, 4) lies on the graph of the equation 3y = ax + 7, find the value of a.
Answer:
3/5
Step-by-step explanation:
3y = ax + 7
3(4) = a(3) + 7
12 = 3a + 7
5 = 3a
3/5 = a
Best of Luck!
x = 3
y = 4
Given Equation:3y = ax + 7
Solution:By putting the values of x and y, we get
3(4) = a(3) + 7
or, 12 = 3a + 7
or, 12 - 7 = 3a
or, 5/3 = a
Answer:a = 5/3
To Check:12 = 5/3(3) + 7
or, 12 = 12
LHS = RHS
Hence, Verified.
I BET NO ONE KNOWS THIS QUESTION . After years of Civil war , columbia is a peaceful democratic nation. TRU OR FALSE
Answer:
false?
Step-by-step explanation:
first, you put this question in mathematics. columbia is a “democracy” but i would say it isn’t peaceful.
the answer would be true
It will take five builders 62 days to complete a particular project. At this rate, how long would the project take if there were only two builders?(SHOW WORK)
Answer:
2 builder complete work = 155 days
Step-by-step explanation:
Given:
5 builder complete work = 62 days
So,
1 builder complete work = 62 days × 5
if,
2 builder complete work = [62 days × 5] / 2
2 builder complete work = 155 days
solve attachment 30 points!!!!!
Answer:
[tex]A=\frac{B^3}{5g+m}[/tex]
Step-by-step explanation:
Step 1: Write out equation
5gA + mA = B³
Step 2: Factor out A
A(5g + m) = B³
Step 3: Divide both sides by 5g + m
[tex]A=\frac{B^3}{5g+m}[/tex]
Differentiate Square numbers and cube numbers
Answer:
square numbers are numbers raised up to the power of two in essence the number multiplied by it self
Some number added to 5 is equal to -11. Find the number.
Answer:
5-16= -11
Step-by-step explanation:
Answer:
-16
Step-by-step explanation:
5+?=-11
move the equation around..
-11-5=?
-11-5=-16
you can move the equation around again to be sure..
5+(-16)=-11
yes it does
HAVE A GREAT DAY (:
At 11 AM, one share of Starbucks stock was $41. By 4 PM the price was $44. The rate the Starbucks stock value was changing is _$per hour.
Answer:
$0.60 per hour
Step-by-step explanation:
The road has a 10% slope. Calculate its angle of inclination.
Answer:
angle of inclination = 5.71°
Step-by-step explanation:
[tex] 10 \% = \frac{10}{100} = 0.1 = \tan \theta \\ \theta = { \tan}^{ - 1} (0.1) \\ \theta = 5.7105931375 \\ \huge \red{ \boxed{\theta = 5.71 \degree}}[/tex]
COPY-
Evaluate each expression if a = 4, b = 6, and c = 2
-> 3a +6²c
What is
Step-by-step explanation:
a=4 so 3a becomes 3x4.
3x4=12
12+6c^2
C=2 so 6c^2 becomes (6x2)^2
6x2=12 and 12x12 because of the exponent.
12x12=144
12+144=156
If it's wrong, i'm sorry
= loan
6
2) The wire length 176 cm is first bent into a square
and then into a circle
which one will have more area? (II= 22/7)
Length of Wire = 176 cm
It's bent into a square.
Side of square = 176/4 = 44 cm
Area of square = Side × Side = 44 × 44 = 1,936 sq.cm
Then it's bent into a circle.
Circumference of the circle = 2πr = 176 cm
Circumference = r = 176/2 × 7/22 = 28 cm
Area of circle = πr^2
Area = 22/7 × 28 × 28
Area = 2,464 sq.cm
The Circle will have more area than the square.
What’s the product of 728x32
Answer:
23296
Step-by-step explanation:
You will know this if you use box method or using standard form its pretty much simple multiplication
The measure of G is six more than twice the measure of H. If G and H are supplementary angles, find the measure of H pls I need help pls
Answer:
The measurement of angle H is 58°
Answer:
77
Step-by-step explanation:
G =2H+6=180
2H+6=180
2H=180-6
2H=154
H=154/2
=77
which situation could NOT represent a proportional relationship? F The number of gallons of water in x barrels with 42 gallons of water in each barrel G The amount an employee who makes $8.50 per hour earns in h hours the weight in x weeks of a puppy that gains 2 pounds per week it is starting weight is 8 pounds 1 The cost of purchasing p pounds of bananas for $0.55 per pound
Answer: it’s H <3
Step-by-step explanation: I had this on my homework and I got it right^^
It is possible that the situation does not represent a proportional relationship. The number of hours worked by an employee earning $8.50 per hour.
What proportional relationship?The relationship is said to be proportional when two or more items are directly proportionate or change in size according to equivalent ratios.The formula y = kx can be used to express this proportional relationship. The quantities that are proportional to one another in this case are y and x.In this case, the unit rate is another name for the proportionality constant (k).Proportional relationships can be worked with algebraically, but they can also be represented visually by graphing them on a coordinate plane.On the graph, a proportionate relationship is always represented as a straight line across the origin.Therefore, The correct answer is option is B) The amount an employee who makes $8.50 per hour in h hours
The complete question is:
Which situation could NOT represent a proportional relationship?
A: The number of gallons of water in x barrel with 42 gallons of water in each barrel
B: The amount an employee who makes $8.50 per hour in h hours
C: The weight in x weeks of a puppy that gains 2 pounds per week if it's starting weight is 8 pounds
D: The cost of purchasing p pounds of bananas for $0.55 per pound
To learn more about proportional relationship, refer to:
brainly.com/question/28777033
#SPJ2
Please Help Me Which letter represents Chinese dynasties? Which letter represents the birthplace of Hinduism? Which letter represents the beginning of the Hebrew culture?
Step-by-step explanation:
chinese dynasties=C
Hinduism birthplace=B
Hebrew culture=A
The coordinates of the midpoint of GH are M(8,0) and the coordinates of one endpoint are H(-2,9) The coordinates of the other endpoint are (_,_)?
Answer:
work is attached and shown
The coordinates of the other endpoint are (18, -9)
The given points;
midpoints M = (8, 0)
one end points, H = (-2, 9)
The coordinate of the other end point is calculated as;
[tex]G_1 = \frac{x + (-2)}{2} = 8\\\\G_2 = \frac{y+ 9}{2} = 0[/tex]
From the above equation, the x coordinate is calculated as;
x - 2 = 16
x = 18
The y coordinate is calculated as;
y + 9 = 0
y = -9
Thus, the coordinates of the other endpoint are (18, -9)
Learn more here: https://brainly.com/question/20428158
Ira's puppy weighed 3/4 pound. His kitten weighed 1/5 pound. What was the total weight of Ira's two pets? A. 19/20 pounds B. 4/9 pound C. 11/20 pound D. 19/20 pound
Answer:
3/4+1/5=19/20
Step-by-step explanation:
Answer:
19/20
Step-by-step explanation:
3/4+1/5
find the common denominator
15/20+4/20= 19/20
A national survey of middle-school students asks which subject is most challenging. Which of these samples is a representative sample? A. 372 sixth-graders in a certain town B. 972 seventh-graders in a certain county C. 619 eighth-graders in different states D. 400 students from various states, representing different grades, 6–8
Quick Question
a) 1 trillion means 1 000 000 000 000. Write this number in scientific notation.
b) Write one million in scientific notation.
Answer:
1 * 10^12
Step-by-step explanation:
Scientific notation is a representation of a large number in a short form. The answer, 1*10^12 (read as ten to the twelfth power) essentially says that the number when expanded is 1 with 12 zeros appended to it. If you did a number like 7 trillion you would have 7 * 10^12.
Same thing can be applied for 1,000,000 (one million).
1 * 10^6 because one million has 6 zeros appended to it.
7) A real number that is less than zero. These represent opposites.
Answer:
A negative number
Step-by-step explanation:
I know this is right. Negative numbers represent opposites. If positive represents a movement to the right, negative represents a movement to the left.In the context of negative numbers, a number that is greater than zero is referred to as positive. Thus every real number other than zero is either positive or negative, while zero itself is not considered to have a sign. Positive numbers are sometimes written with a plus sign in front, e.g. +3 denotes a positive three.