The perimeter of a rectangle is 60 meters.if the length of the rectangle is 14 meters.what is the width of the rectangle?
Final answer:
To find the width of a rectangle given its length and perimeter, apply the formula for the perimeter of a rectangle and solve for the width.
Explanation:
The width of the rectangle can be found by using the formula for the perimeter of a rectangle:
P = 2(length + width)
Given that the length is 14 meters and the perimeter is 60 meters, you can substitute these values to find the width.
60 = 2(14 + width)
60 = 28 + 2w
2w = 32
w = 16
Therefore, the width of the rectangle is 16 meters.
Andrew has $8.85 in dimes and quarters. the number of dimes he has is 3 more than twice his number of quarters. How many quarters does Andrew have?
Plz answer both for 10 points.!!! Thx for the help.
A cross section of an attic is shaped like a trapezoid. It has an area of 37.4 square meters one base is 6.4 meters and the other base is 12.3 meters long. What is the height of the cross section
Final answer:
To find the height of the trapezoid, use the formula for the area of a trapezoid which is (1/2) x (sum of bases) x height. Calculate the height by substituting the given values for the area, and the lengths of the bases into the formula to find the height as 4 meters.
Explanation:
Area of a trapezoid = (1/2) x (sum of bases) x height
Given area = 37.4 m², base1 = 6.4 m, base2 = 12.3 m
37.4 = (1/2) x (6.4 + 12.3) x h
37.4 = (1/2) x 18.7 x h
h = (37.4 x 2) / 18.7 = 4 meters
Answer 3.a,3.b,3.c for 20 points
Use the formula A=bh , where A is the area, b is the base length, and h is the height of the parallelogram, to solve this problem.
Brittany is painting a mural on one of the walls in her room. The mural is in a parallelogram-shaped frame. The area of the mural is 1056 in² and the base is 32 inches.
What is the height of the mural?
Enter your answer in the box.
[___]in
Answer:
The height is 33 inches.
Step-by-step explanation:
A=bh
1056=32xb
÷32 ÷32
33=h
Please help!! Write a real-world problem for each inequality. 3x + 10 > 30
Answer:
I have the same question but instead of 30 its 10.
Step-by-step explanation:
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Find the slope,including units, and write a sentence to interpret the slope in detail. Write an equation for the water level, y, after x days. In how many days will the water level be 26 feet? Graph the equation
Explanation of slope, equation, and days to reach a specific water level in a river.
Explanation:Slope: The slope represents the rate of change in water level per day. In this case, the slope is -0.5 feet/day, indicating that the water level is decreasing by 0.5 feet each day.
Equation: The equation for the water level after x days is y = 34 - 0.5x.
Days to reach 26 feet: To find when the water level will be 26 feet, you can solve the equation 26 = 34 - 0.5x to get x = 16 days. Therefore, it will take 16 days for the water level to reach 26 feet.
The cost of going to the big playland park for a family is given by C = 15x + 50, where C represents the cost and x represents the number of family members. How many family members went if it cost them $125?
A circle has a radius of 119.3 millimeters.
What is the circumference of this circle?
Use 3.14 for pi. Round your final answer to the nearest tenth.
Enter your answer as a decimal in the box.
mm
Rebecca left her house and walked 2 blocks east. She turned and walked 5 blocks north to get to the library. If each block is 1/4 of a mile, how far is he direct route from Rebecca’s house to the library?
Rebecca's direct route from her house to the library is approximately 1.35 miles, calculated using the Pythagorean theorem with her eastward walk of 0.5 miles and northward walk of 1.25 miles (2 blocks east and 5 blocks north, each block being 1/4 mile).
To find the direct route from Rebecca's house to the library, we can use the Pythagorean theorem since the distance forms a right triangle.
First, we calculate the distance Rebecca walked east: 2 blocks * (1/4 mile/block) = 1/2 mile.
Then, we find the distance she walked north: 5 blocks * (1/4 mile/block) = 5/4 miles.
Next, we square both distances: (1/2)^2 = 1/4 and (5/4)^2 = 25/16.
Now, we add these squares together: 1/4 + 25/16 = 16/64 + 100/64 = 116/64.
Taking the square root gives us the direct route distance: √(116/64) ≈ √1.8125 ≈ 1.35 miles.
So, the direct route from Rebecca's house to the library is approximately 1.35 miles.
1 Design your own real-world scenario in which the solution requires the Pythagorean Theorem. Use complete sentences to describe the scenario.2 Model your real-world scenario with an equation and a sketch.3 In two or more complete sentences, explain the steps necessary to solve for the missing value in your real-world scenario. Include the solution in your explanation.
cougar park is shaped like a parallelogram and has an area of 1/16 sqaure mile. Its base is 3/8 mile. What is its height?
The area of parallelogram can be found using the formula:
[tex] Area = b* h [/tex]
Where b= base length and h= height.
We are given :
Area =1/16 square mile and
Base = 3/8 mile
Plugging the values in the formula to find height,
[tex] 1/16 = 3/8* h [/tex]
height = 1/6 mile
So height of parallelogram is 1/6 miles.
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
A picture of a rectangle is shown with one side labeled as x-4 and another side labeled as 5x+2
A) 5x^2 + 18x - 2
B) 5x^2 + 13x + 2
C) 5x^2 - 18x - 8
D 5x^2 + 13x + 8
WRITE AN INEQUALITY FOR EACH PRBLEM AND SOLVE 1. Arthur earned $136 in three weeks. he goes back to school in one more week. he needs at least $189 to buy the new coat that he wants for school. how much must arthur earn in the next week? 2. Marna is playing a game where you score -5 points each time you guess the correct answer. The goal is to get the lowest score. To win the game. Marna must have a score less than -80 points. How many correct answers does Marna need to win the game?
anwser the question quickly!
70 POINTS!!!!!!!!!!!!!! HELP PLEASE
1. Apply the properties of integer exponents to write equivalent numerical expressions. Show all work.
Ex. 32 • 3-5 = 3-3 =
a. 4^1 • 4^2
b. 5^3 • 5^-6
c. 32 • 31
d. 6^5 • 5^-7
2. Select two of the above expressions (one multiplication and one division) and explain how you simplified them.
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
When bases are same in multiplication, add exponents.
1) a. 4^1 × 4^2
4^(1+2)
4^3
b. 5^3 × 5^-6
5^(3+-6)
5^(-3)
c. 3^2 × 3^1
3^(2+1)
3^3
d. 6^5 × 5^-7
0.0995328
2. I added the exponents. For the last one, I evaluated by calculator.
Garrick and Zan are measuring the heights of seedling plants for science class.
Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.
CLEAR CHECK
Because Garrick's plant is... than Zan's plant, each millimeter of error results in a ....percent error.
Garrick's measurement was ... millimeters off and Zan's was... millimeters off, so Garrick's measurement was ... % off and Zan's was
Answer: Garrick's plant is shorter than Zan's plant.
Each millimeter of error results in a 11.11% percent error.
Garrick's measurement was 2 millimeters off and Zan's was 12 millimeters off.
Garrick's measurement was 20% off and Zan's was 12% off.
Step-by-step explanation:
Since we have given that
In case of Garrick's plant:
Actual height of his plant = 10 mm
Measured height of his plant = 8 mm
In case of Zan's plant :
Actual height of his plant = 100 mm
Measured height of his plant = 88 mm
So, clearly Garrick's plant is shorter than Zan's plant.
Difference in actual height of plants of Garrick and Zan is
[tex]100\ mm-10\ mm=90\ mm[/tex]
similarly, difference in measured heights of plants of Garrick and Zan is
[tex]88\ mm-8\ mm\\\\=80\ mm[/tex]
Percent error will be
[tex]\frac{90-80}{90}\times 100\\\\=\frac{10}{90}\times 100\\\\=11.11\%[/tex]
So, Each millimeter of error results in a 11.11% percent error.
Error in Garrick's plant :
[tex]Actual-Measured\\\\=10-8\\\\=2\ mm[/tex]
Percent error is given by
[tex]\frac{2}{10}\times 100\\\\=20\%[/tex]
Similarly,
Error in Zan's plant ;
[tex]Actual-Measured\\\\=100-88\\\\=12\ mm[/tex]
Percent error is given by
[tex]\frac{12}{100}\times 100\\\\=12\%[/tex]
Garrick's measurement was 2 millimeters off and Zan's was 12 millimeters off.
So, Garrick's measurement was 20% off and Zan's was 12% off.
give the quotient and remainder for 693 divide by 16
A rectangular prism has a length of 1 1/2 meters, a width of 3 meters, and a height of 5 1/2 meters. Enter the volume of the prism as a mixed number in simplest form in the box. m³
Answer:
Simplest for 36 1/5
Step-by-step explanation:
25 + 156 + 1/2 = 363/2 = 181 1/2
181÷5=36 R1
181.5=36 1/5
Translate the algebraic expression shown below into a verbal expression
Fraction with variable x in numerator and 10 in the denominator.
A)The sum of ten and some number
B)The quotient of some number and ten
C)The product of some number and ten
D)The difference of ten and some number
Answer:
it is B)The quotient of some number and ten
Step-by-step explanation:
Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place.
What is the area of this figure? Enter your answer in the box.
A triangle in the coordinate plane has coordinates of (2,3), (-4,-5), and (-2, 4). It is reflected about the y-axis. What are its new coordinates?
A) (-2,3), (4,-5), (2,4)
B) (-2,-3), (4,5), (2,-4)
C) (2,-3), (-4,5), (-2,-4)
D) (-2,-3), (-4,-5), (-2,-4)
What is the inverse function of a(b)=12•b+9/2
To find the inverse of the function a(b) = 12b + 9/2, swap 'a' and 'b', then isolate 'b' by subtracting 9/2 and dividing by 12. This gives the inverse function as a = (b - 9/2) / 12.
Explanation:To find the inverse of a function, you need to rearrange the equation so that the independent variable 'b' becomes the dependent variable. In your function, a(b) = 12b + 9/2, first you need to solve for 'b'. Here are the steps:
Swap 'a' and 'b' to get: b = 12a + 9/2 Isolate 'b' by subtracting 9/2 from both sides: b - 9/2 = 12a Divide both sides by 12 to solve for 'a': a = (b - 9/2) / 12
So the inverse function of a(b) = 12b + 9/2 is a = (b - 9/2) / 12.
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Kelly builds a dog run that is 3 feet wide and has an area of 12 square feet. The length of the dog run is feet. Kelly's brother builds another dog run that is also. 3 feet wide, but its area is double that of Kelly’s dog run. What is he length of Kelly’s brother’s dog run?
A number that is formed by repeated multiplication by the same factor is a
An exponential number is the product of the base multiplied by itself "n" times.
A number that is formed by repeated multiplication by the same factor is called an exponential number or a power. It is typically represented in the form "a^n," where "a" is the base and "n" is the exponent. The exponent indicates how many times the base is multiplied by itself.
For example:
2³ is read as "2 raised to the power of 3," and it means 2 × 2 × 2 = 8.
3² is read as "3 raised to the power of 4," and it means 3 ×3 × 3 × 3 = 81.
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Carl is going to make a frame for a picture. The dimensions of the frame need to be 2 feet by 18 inches. How long must the board be that Carl uses for his frame?
20 in.
20 ft
3 1/2ft
7 ft
Answer:
I answer is D
Step-by-step explanation:
7ft
I hope this helps! :)
write this ratio in another way 11/12
On the freeway, it is unsafe to drive too slowly or too quickly. The safest driving speeds on the freeway near Allan's town were scientifically determined to be between the minimum and maximum speeds (in miles per hour) according to the equation lx-551 42. Which equation can be used to determine the maximum safe driving speed?
X-55=4.2
X-55=-4.2
X+55=4.2
X+55=-4.2
Step-by-step explanation:
the first option is the right answer