Answer:
0 The product will be smaller than both the factors.
0 There will be a zero in the tenths place.
0 The answer is 0.04.
A scale drawing of a building needs to be made using the scale 1 in = 200 ft. How tall will the building in the scale drawing be if the building is 1200 ft tall?
Answer:
Step-by-step explanation:
Not very big.
1" = 200 feet
x = 1200 feet
1/x = 200/1200 Cross multiply
200 x = 1200 * 1 Combine
200x = 1200 Divide by 200
x = 1200 / 200
x = 6
Remark: the feet (one on each of the equal sign cancel out. All that is left is inches. So 6 is in inches.
During a drought, the cost of corn increases. Suddenly, gasoline costs $3.86 per gallon. A diesel truck uses 4 gallons to drive 60 miles. With the increased cost of gasoline, is it cheaper to drive the old truck or the diesel truck?
It is cheaper to drive the old truck, which costs $11.58 to drive 60 miles, compared to the diesel truck, which costs $15.44 to drive the same distance, given the current fuel prices.
Describe Algebraic Expression?An algebraic expression is a mathematical phrase that consists of variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. It is a combination of constants, variables, and operators that represent a value or a relationship between values.
For example, "3x + 5" is an algebraic expression where "3" and "5" are constants, "x" is a variable, and "+" is an operator. The expression can be evaluated by substituting a value for "x" and performing the necessary operations.
Algebraic expressions can also be simplified by combining like terms and using the rules of arithmetic to simplify the expression. For instance, the expression "2x + 3x" can be simplified to "5x" by adding the coefficients of the like terms "x".
Algebraic expressions are used extensively in algebra to represent equations and relationships between variables. They are also used in a wide range of mathematical and scientific applications, including physics, engineering, and finance.
To compare the cost of driving the old truck to the diesel truck, we need to know the fuel efficiency of the old truck. Let's assume that the old truck uses gasoline and has a fuel efficiency of 20 miles per gallon.
To drive 60 miles, the old truck will use 60/20 = 3 gallons of gasoline.
At $3.86 per gallon, the cost of 3 gallons of gasoline is 3 * $3.86 = $11.58.
The diesel truck uses 4 gallons of diesel to drive 60 miles. The cost of diesel is not given in the problem, so we'll assume it's the same as the cost of gasoline, $3.86 per gallon.
At $3.86 per gallon, the cost of 4 gallons of diesel is 4 * $3.86 = $15.44.
Therefore, it is cheaper to drive the old truck, which costs $11.58 to drive 60 miles, compared to the diesel truck, which costs $15.44 to drive the same distance, given the current fuel prices.
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Angle ADB and CD are straight lines. angle ADC = 5 x angle CDB Work out the size of angle ADC.
Answer:
Step-by-step explanation:
The diagram shows a right-angled triangle.
24 cm
18 cm
_Not to scale
Calculate the value oft. Give your answer correct to 1 decimal place.
Answer:
can i have a photo, please?
Step-by-step explanation:
2.6 X 16 fourth grade answers
Answer:
41.6 lol
Step-by-step explanation:
A boy 1.5 m tall is standing 12 m away from a church building which has a tower on top of its roof. The top of the cross on the tower is 14.6 m away from the boy’s head (eyes). If the boy has to raise his eyes through an angle of 31° in order to see the top of the roof, calculate,Correct to the nearest degree, the angle through which the boy must raise his eyes to see the top of the cross on the tower.
Correct to one decimal place, the height of the top of the cross from ground.
Correct to one decimal place the height of the church building.
Answer:
1. \(35^{o}\)
2. 9.8 m
3. 8.7 m.
Step-by-step explanation:
1. Let the angle be represented by θ, so that:
Cos θ = \(\frac{adjacent}{hypotenuse}\)
= \(\frac{12}{14.6}\)
Cos θ = 0.82192
θ = \(Cos^{-1}\) 0.8219
= \(34.73^{o}\)
θ = \(35^{o}\)
The angle through which the boy must raise his eyes to see the top of the cross on the tower is \(35^{o}\).
2. Let the height from the boy's head to the top of the cross be represented by y, so that:
Sin \(34.73^{o}\) = \(\frac{y}{14.6}\)
y = Sin \(34.73^{o}\) x 14.6
= 0.5697 x 14.6
y = 8.32 m
The height of the top of the cross from the ground = 1.5 + 8.32
= 9.82 m
The height of the top of the cross from the ground is 9.8 m.
3. Let the height from the boy's head to the top of the building be represented by x, so that:
Tan 31 = \(\frac{opposite}{adjacent}\)
= \(\frac{x}{12}\)
x = Tan 31 x 12
= 0.6009 x 12
x = 7.21
The height of the church building = 1.5 + 7.21
= 8.71
The height of the church building is 8.7 m.
The sketch to the question is attached to this answer.
Find the missing angle in the triangle,
x°
36°
111°
Answer:
33°
Step-by-step explanation:
you add the two numbers together and subtract from 180° to get your answer
please help me guys find the slope
Answer:
\(m=4\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Pick any 2 points from the chart.
Point (-5, -7)
Point (-4, -4)
Step 2: Find slope m
Substitute: \(m=\frac{-4+7}{-4+5}\)Add: \(m=\frac{4}{1}\)Divide: \(m=4\)
I think of a number, then divide by 8, then
add 73. If the result is 185, what number
did I first think of?
Answer:
14
Step-by-step explanation:
plz tell me if im right
Answer:
I'm not a math expert but I was able to figure this out Somehow . the answer is 896.
Step-by-step explanation:
Sounds crazy but trust me the answer is 896. I did the math on a calculator, and im looking through the history.
100 BRAINLY POINTS
f(x)=18,000(.88)^x ; x represents the number of years since the car started to depreciate and 18,000 = the initial value of the car. What year will you recieve the car when the car value drops below $2,000? Please do a step by step
Answer:
After 17 years and 3 monthsStep-by-step explanation:
Given function:
f(x)=18000(0.88)^xWe are looking for the value of x at f(x) < 2000
Solve the equation:
2000 = 18000(0.88)^x(0.88)^x = 2000/18000(0.88)^x = 0.1111log (0.88)^x = log 0.1111x = log 0.1111 / log 0.88x = 17.18After 17 years and 3 months the car value drops below $2,000
Put f(x)=2000 and solve
2000=18000(0.88)^x2=18(0.88)^x1/9=(0.88)^xln(0.111)=xln0.88x=ln(0.111)/ln0.88x=17.18Atleast 18 years
You will recieve in 18the year going on
6 more than the quotient of 9 and f
Answer:
9/f +6
Write 9/f as a fraction.
Select the correct answer.
A figure shows the inscribed triangle ABC with center point O which bisects BO. An angle of C is 50 degrees.
In the diagram,
is a diameter of the circle with center O. If m∠
= 50°, what is m∠
?
A.
50°
B.
40°
C.
80°
D.
100°
Reset Next
Answer: C
Step-by-step explanation:
Write a Quadratic equation if the roots are: 2-\(\sqrt{3}\) and\(\frac{1}{2-\sqrt{3} }\)
9514 1404 393
Answer:
x² -4x +1 = 0
Step-by-step explanation:
For roots p and q, the factored form of the equation is ...
(x -p)(x -q) = 0
The expanded form of this is ...
x² -(p+q)x +pq = 0
So, we can find the coefficients of the quadratic by finding the sum and product of the factors.
-b = (2 -√3) + 1/(2 -√3) = (2 -√3) +(2 +√3)/((2-√3)(2+√3)) = 4
c = (2 -√3)/(2 -√3) = 1
So, the quadratic is ...
x² -4x +1 = 0
(URGENT)An engineer has a 40:1 scale drawing of a bridge. The dimensions of the scaled bridge deck are 24 inches by four and four fifths inches. What is the area of the actual bridge deck in square feet?
460 square feet
640 square feet
960 square feet
1,280 square feet
The area οf the actual bridge deck in square feet is 1,280 square feet.
What is Area?Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.
The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).
The dimensiοns οf the scaled bridge deck in feet are:
24 inches = 2 feet
4 and 4/5 inches = 0.4 feet
Sο, the area οf the scaled bridge deck in square feet is:
2 feet x 0.4 feet = 0.8 square feet
Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:
Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet
Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.
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Answer:
Step-by-step explanation:
The scale factor indicates the actual bridge is 40 times larger than the drawing.
Increase the scale dimensions by the factor of 40.
24 times 40 = 960"
4.8 times 40 = 192" (I changed 4 4/5 to 4.8)
Area = length times width
960 times 192 = 184320 sq inches actual bridge deck in square inches
Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet
Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41
Answer:
25000
Step-by-step explanation:
I don’t know how to solve
Answer:
5.6
Step-by-step explanation:
180/50 is 5.6
T-shirts
$7.50
Shorts
$9.00
Windbreakers
$12.25
If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?
$958.75
$973.75
$1,021.25
$1,038.75
Answer:
$973.75
Step-by-step explanation:
7.50x35=262.5
45x9.00=405
25x12.25=306.25
If you add all the sums together you would get $973.75
Need help quick please
Answer:-1/6
Step-by-step explanation:
Draw a line out in the 2nd quadrant.
Your y=\(\sqrt{35}\) hypotenuse=6 use pythagorean theorem to solve for x
6² = 35 + x²
x=1
so
cosΘ = -1/6
If 10 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many ways are there to line up the 10 students?
Answer: The answer is 10
Step-by-step explanation:
5 subtract from 9 as an expression
The statement "5 subtract from 9" as an expression is 9 - 5
How to represent the statement as an expressionFrom the question, we have the following parameters that can be used in our computation:
A mathematical statement
The mathematical statement is given as
5 subtract from 9
Subtraction means minus
So, we have the following representation
5 subtract from 9 = 9 - 5
The question does not require that we solve the expression
So, we leave it at 9 - 5
Hence, the required expression is 9- 5
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How would you type the answer for GE as in picture for an edpuzzle answer ? What does the check mark symbol mean ?
Based on the image attached, the solution for GE is approximately 22.72.
What is the expression ?To be able to solve the equation √129 + √129 = GE, one need to simplify the expression and then isolate GE.
Step 1: One can add the square roots:
Note that the equation:
√129 + √129 = GE.
Step 2: Do put together the square root terms:
2√129 = GE.
Step 3: Then Divide by 2:
√129 = GE/2.
Step 4: The Square both sides:
129 = (GE²)/4.
Step 5: So, Multiply by 4:
516 = GE².
Lastly, Take the square root:
√516 = √(GE²)
√516 = GE
GE = 22.72. approx.
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See text below
Step 26
Solve the equation for GE:
√129+√129 = GE
GE=2/129
Show steps
sarah hanged 12/9 Ornaments on the christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether
Answer:
12/9+3 4/3 = 5 2/3 or 17/3
Step-by-step explanation:
Answer:
its 16/12 all together but if you do simplify its 0.75 hope this helped (❁´◡`❁) LOL.
Step-by-step explanation:
Sarah hanged 12/9 Ornaments on the Christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether
help me for points :)
anwar built with an area 256 square feet. he wants to build a railing on three aides of the deck what is rhe total length of the railing he needs ?
Answer:
48ft
Step-by-step explanation:
how do the key features of a polynomial function help you sketch its graph
Answer: The degree will help you find the end behavior. The vertex shows you where it changes concavity.X and y intercepts give you a couple of points of reference. Axis of symmetry is only applicable to even degree polynomials.
Step-by-step explanation:
The information regarding the key features of the polynomial function helps for sketching the graph is explained below:
The degree that help you determine the end behavior. The vertex represent you where it changes concavity.X and y intercepts provide a couple of points of reference. Axis of symmetry is only applicable to even degree polynomials.Learn more: brainly.com/question/17429689
900,000-400,000 esitmate
Answer:
500,000
Step-by-step explanation:
9-4=5 just add the zeros
Answer:
aahhhh
Step-by-step explanation:
help please!! m=5 and n=2. 2m-5n!
Step-by-step explanation:
so, what's the problem ?
it's all there, we only need to take the calculator (or simply our heads) and do the calculation :
2×5 - 5×2 = 10 - 10 = 0
you see ? that was all that was needed.
put the given values for the variables into the places of these variables, and then calculate !
that is what variables are for : placeholders for actual values.
Are the figures congruent? Including more questions
Answer: Hello!
Step-by-step explanation: After measuring the two triangles I can conclude they are congruent!
Finn, tenth grader straight A student.
Have a great day.
On average the number of electronic keyboards sold in New York each year is 61,313, which is seven times the average number of electronic keyboards sold each year
in Montana. How many electronic keyboards, on average, are sold each year in Montana?
Answer:
8759
Step-by-step explanation:
Dewayne read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate how many chapters of his history book can he read in 1 hour
Answer:
6/8 of a chapter
Step-by-step explanation:
3/8 = 1/2 of an hour
1/2 + 1/2 = 1
Basic Fact ^^
So, we need to add 3/8 + 3/8 or 3/8 x 2
We get : 6/8
He didn't read a whole chapter but he did read 6/8 of a chapter.
Answer:
Step-by-step explanation:
There are 60 min in an hour - 1/5 of an hour=20mim
3/8 x 5 = 15/8 = 1 & 7/8 chapters