A drawing of a garden uses a scale of 1 in 3 ft. Find the length of the drawing is 13 inches
The length of the original drawing will be 39 feet.
Given scale:
1 inch = 3 feet
Length of the drawing = 13 inches
What is a scale factor?A scale factor is a factor by which the dimensions of an object are enlarged.
1 inch = 3 feet
So, 13 inches =13*3 feet
13 inches =39 feet
So, the length of the original drawing =39 feet.
Hence, the length of the original drawing will be 39 feet.
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1. Write the ratio in the simplest form. 16:24 (1 point) 1:2 4:3 3:4 2:3
Any ratio can be simplified into its simplest form by dividing the numerator and denominator by the common factor.
The given ratio is 16:24. To bring the ratio in its simplest form we will look for the factors of 16 and 24 and look for the greatest number that divides both 16 and 24.
The greatest number that divides both 16 and 24 is 8.
16÷8=2
24÷8=3.
The ratio 16:24 in its simplest form is 2:3
The solution for the ratio in the simplest form is, 2 : 3
Given that,
16:24 is the specified ratio.
Now, By finding the largest integer that divides both 16 and 24 and the factors of 16 and 24, we may reduce the ratio to its most basic form.
Hence, 8 splits both 16 and 24 to the maximum possible extent.
So, we get;
16 / 8 = 2
24 / 8 = 3
Thus, the simplest form of the fraction is,
⇒ 16 : 24
⇒ 16 / 24
⇒ 2 / 3
It can be written as,
⇒ 2 : 3
So, the simplest form is,
⇒ 2 : 3
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4. FH bisects ∠GFI, m∠EFG = 4y + 8 and m∠HFI = 2y + 6. Find m∠EFH.
please help me solve this
Answer:
m∠EFH=134
Step-by-step explanation:
FH bisects ∠GFI
So m<GFH=m<HFI
m∠EFG = 4y + 8 and m∠HFI = 2y + 6
m<GFH=2y+6
[tex]m<EFG+m<GF+m<HFI= 180[/tex] because its a linear pair
[tex]4y+8+2y+6+2y+6=180[/tex]
combine like terms and solve for y
[tex]8y+20=180[/tex]
Subtract 20 from both sides
[tex]8y=160[/tex]
Divide both sides by 8
y=20
m∠EFH=m<EFG+m<GFH
m∠EFH=[tex]4y+8+2y+6=6y+14=6(20)+14=134[/tex]
Is 15/2 greater then square root of 55
Yes, 15/2 is greater than the square root of 55.
Explanation:To compare whether 15/2 is greater than the square root of 55, we can convert both expressions to decimal form.
15/2 = 7.5 and √55 ≈ 7.416. Therefore, 15/2 is greater than the square root of 55.
Given that the hypotenuse of this right triangle is 25 cm long and that tan(Θ) = 3 Find the values of x and y, accurate to the nearest tenth. A) x ≈ 7.9; y ≈ 23.7 B) x ≈ 23.7; y ≈ 7.9 C) x ≈ 7.9; y ≈ 26.4 D) x ≈ 26.4; y ≈ 79.1
Answer:
Step-by-step explanation:
The right triangle above you can use SOHCAHTOA and determine that tanθ =
y
x
. Replacing tanθ with 3 you get
3 =
y
x
3x = y
Then use the Pythagorean Theorem to
x2 + y2 = 252. Replace y with 3x
x2 + 9x2 = 625
10x2 = 625
x2 =
625
10
x =
25
10
= 7.9
Since,
y = 3x
y = 3(7.9) = 23.7
x ≈ 7.9; y ≈ 23.7
Round to the place value of the underline digit 934,567 the underline digit is 4
1/3(9−6m)+1/4(12m−8)
Answer:
M+1
Step-by-step explanation:
The function f(x) is graphed on the coordinate plane.
What is f(−2) ?
Enter your answer in the box.
f(−2)=
Answer:
The value of f(-2) is, -2
Step-by-step explanation:
The graph which is shown on the coordinate plane passes through the two points i.e, (2,0) and (0, -1).
First find the equation for this line:
Using Point-Slope form for the equation of line: [tex]y-y_{1}=m(x-x_{1})[/tex] ..[1]
where m is the slope given by ;
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
First find the slope:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-1-0}{0-2}[/tex]
⇒ [tex]m=\frac{-1}{-2} =\frac{1}{2}[/tex]
Now, substitute the value of m=[tex]\frac{1}{2}[/tex] , [tex]x_{1}[/tex]= 2and [tex]y_{1}[/tex]=0 in equation [1];
[tex]y-0=(\frac{1}{2})(x-2)[/tex] or
[tex]y=\frac{1}{2}\cdot (x-2)[/tex]
In this graph x represents the input of the process and Y the output of the process and f the function of the variable x i.e, y=f(x)
∴ [tex]y=f(x)=\frac{1}{2}(x-2)[/tex] ....[2]
now, we put the value of x=-2 inequation [2] to solve for f(-2).
[tex]f(-2)=\frac{1}{2}(-2-2) =\frac{1}{2} \cdot (-4)[/tex]
Simplify we get;
[tex]f(-2)=-2[/tex]
Eric biked 1 km 125 m on Monday. On Tuesday, he biked 375 m less than on Monday. How far did he bike both days
Erica's cell phone bill for July was $82. She sent a check for $50 and then made $37 worth of calls in August. How much did she owe on her cell phone bill?
malcolm buys a 5/6 pound bag of black beans and a 3/4 pound bag of pinto beans. how many pond of beans does malcolm buy in all
5/6 + 3/4
5/6 = 10/12
3/4 = 9/12
10/12 + 9/12 = 19/12 = 1 7/12 pounds total
Answer: the answer is 1 7/12 pounds
Step-by-step explanation:
Because 5/6+3/4=1 7/12
There are 16 sixth graders and 20 seventh graders in the robotics club. For the first project the club sponsor wants to organize the club members into equal size groups. Each group will have only sixth graders or only seventh graders how may students will be in each group if each group has the greatest possible numbers of club members?
Answer:
There will be 4 students in each group and there will be 9 groups.
Step-by-step explanation:
There are 16 sixth graders and 20 seventh graders in the robotics club.
As we have to find the number of students that will be in each group if each group has the greatest possible numbers of club members, so we will find the HCF or highest common factor of 16 and 20.
16 = 2 x 2 x 2 x 2
20 = 2 x 2 x 5
HCF = 2 x 2 = 4
So, 16 sixth graders will be divided in [tex]\frac{16}{4}=4[/tex] groups
20 seventh graders will be in [tex]\frac{20}{4}=5[/tex] groups
total groups = [tex]4+5=9[/tex]
Hence, total there will be 9 groups with 4 students in each group.
Write 1.04 x 10^2 in standard form
Answer:
The required standard form is 104.
Step-by-step explanation:
Consider the provided number.
you can convert the scientific notation into long hand notation as shown:
If the exponent of 10 is a positive number then you need to move the decimal point right as much as the exponent value.
If the exponent of 10 is a negative number then you need to move the decimal point left as much as the exponent value.
Now consider the provided number.
[tex]1.04 \times 10^2[/tex]
Here the power of 10 is positive, so move the decimal point right as shown.
[tex]104[/tex]
Hence, the required standard form is 104.
what is 0.6144 divided by 1.6
what is the function of delta sign in maths
Final answer:
The delta sign (Δ) in mathematics indicates a change in a certain quantity, calculated by subtracting the initial value from the final value, commonly used for indicating displacement in physics.
Explanation:
The delta sign (uppercase Greek letter delta, Δ) is commonly used in mathematics to denote a change in a certain quantity. When we say Δx, it signifies the 'change in x' or the difference between the final and initial values of 'x'. This is typically calculated by subtracting the initial value xo from the final value xf. For instance, if we're calculating displacement, which is a change in position, we subtract the starting position xo from the ending position xf to get Δx. The SI unit for displacement is the meter, but other units such as kilometers may also be used, requiring conversion to meters for consistency in calculations.
Which two sets of angles are corresponding angles?
∠e and ∠h; ∠f and ∠g
∠e and ∠i; ∠f and ∠h
∠e and ∠g; ∠f and ∠h
∠e and ∠i; ∠f and ∠g
Find the average of 27 and 45
Determine the independent variable (__________,y). what word goes in the blank space??
Mark drew two lines that form a right angle. What word describes the lines mark drew
Answer:
Perpendicular Lines
Step-by-step explanation:
perpendicular (perpendicularity) is the relationship between two lines which meet at a right angle (90 degrees).
Add the two expressions. 8k + 4 and 3k + 8
Enter your answer in the box.
THE ANSWER IS 11K + 12
George is saving for a mortgage on a $125,000 house. He needs 20 percent for a down payment. He currently has $22,000. How long will it take George to save the rest of the money when he earns 5 percent interest per year?
(This is an economics question)
Will it be 2years, 1year, 3years or 5years?
Answer:
3 years
Step-by-step explanation:
Do these questions, plz ☹️☹️
Of video game that originally cost $25.99 is on sale for 50% off if you have $14 would you have enough money to buy the video game explain (estimate)
Final answer:
After calculating 50% of $25.99, which is approximately $13, we find that the estimated sale price of the video game is $13. Therefore, if the student has $14, they will have enough money to buy the discounted video game.
Explanation:
The student is asking whether $14 would be enough to purchase a video game that is on a 50% off sale from its original price of $25.99. To find the sale price, we can take 50% of the original price and subtract it from the original price itself.
First, calculate 50% of $25.99: (0.50) imes $25.99 = $12.995. Since we are estimating, round the 50% value to $13. Now, subtract that from the original price to get the sale price: $25.99 - $13 = $12.99 (rounded to $13 for easier calculation).
In this estimate, the sale price is $13, which means that if the student has $14, they would have enough money to buy the video game on sale because $14 is greater than $13. Therefore, they will have $1 left after the purchase.
Which expression would the model be most helpful in solving 5/6
5/6 divided 1/6, this is the correct answer
Someone please help me!
Ogden and Sylvio are both running backs for their respective football teams. Sylvio ran for a total of 82 yards while Ogden ran for a total of -21 yards. What is the difference in the number of yards they ran?
Which set of rational numbers is arranged from least to greatest?
−3.5, negative 1 over 4, 2, 1 over 3
−3.5, negative 1 over 4, 1 over 3, 2
2, 1 over 3, negative 1 over 4, −3.5
negative 1 over 4, 1 over 3, 2, −3.5
Look at the following numbers:
HELP ASAP (ONE QUESTION)
− 4, −1, 0, 4
Which pair of numbers has a sum of 0?
4, −1
−4, 0
−1, 0
−4, 4
Answer:
−4, 4
Step-by-step explanation:
Which of these graphs represents a function?
A)
B)
C)
D)
One carpet cleaning cost are shown in the table. The relationship is linear. Find and interpret the rate of change and the initial value for this situation.