An artist is deciding between two different triangular shapes to use for a sculpture. The first triangle has a base of 20 feet and a height of 5 feet. The second triangle has a base of 25 feet. If the two triangles have the same area, what is the height of the second triangle?
The height of the second triangle is 4 feet, which is found by using the formula for the area of a triangle (A = bh/2) and equating the area of the first triangle to that of the second.
To find the height of the second triangle with the same area as the first, we use the formula for the area of a triangle, A = bh/2, where b is the base and h is the height. The area of the first triangle with a base of 20 feet and height of 5 feet is:
A1 = (20 feet * 5 feet) / 2 = 50 [tex]feet^2[/tex]Since the second triangle must have the same area, we can set up the equation:
50 feet2 = (25 feet * h2) / 2Solving for the height (h2) of the second triangle:
100 feet2 = 25 feet * h2h2 = 100 [tex]feet^2[/tex] / 25 feeth2 = 4 feetTherefore, the height of the second triangle is 4 feet.
how many ways can you arange the letters in the word cube
use the formula for the ares of a trapezoid A=h (b^2+b^2/2)= where A is area b1 and b2 are the length of the bases and h is the height to answer the question how many square fet of grass and there on a trapezoidal field with a height of 75 ft bases of 125 ft and 81 ft?
A. 725 ft^2
B. 1025 ft^2
C. 7725 ft^2
D. 15,450 ft^2
There are 254 212 610 registered cars in the United States.
What is this number rounded to nearest million?
Answer:
254,000,000
Step-by-step explanation:
As it's 212,610 you round it down
The value of number rounded to nearest million is,
⇒ 254,000,000
What is rounding off?Rounding numbers refers to changing a number's digits such that it approximates a value. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.
Given that;
There are 254 212 610 registered cars in the United States.
Hence, The value of number rounded to nearest million is,
⇒ 254,000,000
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at a local gas station, regular gasoline sells for $2.899 per gallon, while premium gasoline sells for $3.379 per gallon. how much does a person save on 15.25 gallons of gas by buying regular instead of premium?
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In the morning, a farm worker packed 3 pints of strawberries every 4 minutes. In the afternoon, she packed 2 pints of strawberries every 3 minutes. What was the difference between her morning and afternoon packing rates, in pints per hour?
A. 5
B. 10
C. 40
D. 45
What is the Value of:
during a festive season a shop offered a discount of 20 percent on the marked price of all items find the SP of 3 trousers mardep at rs 1800 each and two t shirts marked at rs 550 each
Ken is a tour guide at an art museum. He earns $11 an hour regular pay and receives time-and-a-half for overtime. Last week he worked 40 hours plus overtime. If he made $66.00 in overtime, how many overtime time hours did he work?
Answer:
Ken worked 4 hours overtime.
Step-by-step explanation:
Ken earns $11 for an hour in his regular pay.
He receives time-and-a-half for overtime = $11 + (11/2) = 11 + 5.50 = $16.50
Ken worked 40 hours plus overtime and he made $66.00 in his overtime.
So he worked overtime = $66.00 ÷ 16.50 = 4 hours
Ken worked 4 hours overtime.
What is the approximate volume of the cone that is 8 cm in height and 12 cm as a radius use 3.14 for pi
What fraction is equivalent to 4/10
4 / 10 = 2 / 5
The fraction equivalent to 4 /10 can be gotten by reducing the actual fraction to it lowest term.
Therefore, let's divide the numerator and denominator by 2.
4 / 10 ÷ 2 / 2 = 2 / 5
The fraction equivalent to 4 / 10 is 2 /5 .
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What is 4 1/3 times 18
The Daily Focus newspaper has a circulation of 382 198. Round this number to the nearest 100 000.
a candy machine contains 120 spherical kids each candy is solid and has diameter of 0.25 in what is the total volume of the candies in the machine
Final answer:
The total volume of the candies in the machine is approximately 0.981 cubic inches.
Explanation:
To find the total volume of the candies in the machine, we first need to calculate the volume of one candy. The diameter of each candy is 0.25 inches, so the radius is half of the diameter, which is 0.125 inches. The formula for the volume of a sphere is V = (4/3)πr³. Plugging in the values, we get V = (4/3)π(0.125)³ = 0.0081777 cubic inches.
Since there are 120 candies in the machine, we can multiply the volume of one candy by the number of candies to get the total volume. Total Volume = 120 * 0.0081777 = 0.981324 cubic inches.
What is the equation of a line that is parallel to x=−5 and that passes through the point (1,4)
What is the measure of angle x?
Enter your answer in the box.
x = ( )°
12+18n+7-14n write an equivalent expression using like terms
find the values of x and y
The first step to solve this problem is to formulate equations. Since the triangle has two equal sides, you can conclude that the angles adjacent to the sides are equal which means:
3x – 11 = 2x + 11
We can now solve for the value of x:
3x – 2x = 11 + 11
x = 22
The sum of the angles of a triangle is 180 so we can formulate another equation:
3x – 11 + 2x + 11 + 2y = 180
5x + 2y = 180
Remember that the value of x is 22 so you should substitute the value of x:
5(22) + 2y = 180
110 + 2y = 180
2y = 180 – 110
2y =70
y = 35
Starting at home, Ishaan traveled uphill to the gift store for 18 minutes at just 10 mph. He then traveled back home along the same path downhill at a speed of 30 mph.
What is his average speed for the entire trip from home to the gift store and back?
What is the GCF of 95,42 and 97?
The GCF of 95, 42, and 97 is 1 because the prime factorizations of these numbers do not share any common factors other than 1.
Explanation:To find the Greatest Common Factor (GCF) of the numbers 95, 42, and 97, we need to look for the highest number that can divide all three numbers without leaving any remainder. When considering 95, 42, and 97, we notice that:
95 is a product of the prime numbers 5 and 19,42 is a product of the prime numbers 2, 3, and 7,97 is a prime number itself, hence it only has 1 and 97 as its factors.Since the prime factorization of these numbers does not share any common factors other than 1, the GCF of 95, 42, and 97 is 1.
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
The area of the mural is 1056 in² and the base is 32 inches. We have to determine the height of the mural.
Area of parallelogram = [tex] b \times h [/tex]
where 'b' is the base and 'h' is the height.
1056 [tex] in^{2} [/tex] = 32 [tex] \times h [/tex]
[tex] h=\frac{1056}{32} [/tex] in
Therefore, the height of the mural is 33 inch.
Kyle and his brother have a marble set. Of the marbles, 12 are blue. This represents 50/100 of all the marbles. What decimal is equivalent to 50/100
The decimal equivalent to 50/100 is 0.50, which is found by dividing 50 by 100.
The decimal equivalent to 50/100 is 0.50. This is because 50/100 is the same as dividing 50 by 100, which gives you 0.50.
This conversion is a standard way of expressing fractions where the denominator is 100, and it's commonly used to convert fractions into percentages or decimals.
For example, to convert 1/4 to a percent, you multiply by 25 (since 4 times 25 equals 100) to get 25 percent, which is equivalent to the decimal 0.25.
So, 50/100 is equivalent to 0.5 as a decimal.
The Marriott family bought a new apartment three years ago for $65,000. The apartment is now worth $86,515. Assuming a steady rate of growth, what was the yearly rate of appreciation?
The annual appreciation rate for the Marriott family's apartment they bought three years ago for $65,000, now worth $86,515, is 10%.
Explanation:The subject matter of this question is the calculation of the appreciated rate of the Marriott family's apartment. They bought this apartment three years ago for $65,000, and now it is worth $86,515. We want to find a constant rate of growth over these three years.
To determine the annual rate of appreciation, we need to use the formula for exponential growth: final value = initial value × (1 + annual growth rate) ^ number of years.
Let's plug in the given values: $86,515 = $65,000 × (1 + growth rate)³.
First, we divide the final value by the initial value: $86,515/$65,000 = 1.33177.
Second, we must calculate the cubic root of 1.33177 (since we have three years), which is 1.1. Therefore, the annual growth rate is 1.1 - 1 = 0.1 or 10%.
Hence, the yearly rate of appreciation for the apartment is 10%.
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Two supplementary angles have the same measurements of 2x - 8 and 8x - 12. What is the measurement of the largest angle?
draw a polygon that has 2 pairs of parallel sides, 2 pairs of sides equal in length 2 acute and 2 obtuse angles
What is the area of the shape?
Rewrite the following equation in slope-intercept form. 5x + 7y = 7 Write your answer using integers, proper fractions, and improper fractions in simplest form.
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what is the greatest common factor (GCF) OF 88 and 72?
The Greates Common Factor (GCF) is: 2 x 2 x 2 = 8
PLEASE HELP! What is the value of x?