The area of the triangle is 270 square centimeters.
Explanation:To find the area of a triangle, we can use the formula A = (1/2)bh, where A represents the area, b represents the base length, and h represents the height. In this case, we are given the area of one triangle (150 square centimeters) when its height is 20 centimeters and its base length is 15 centimeters. Plugging these values into the formula, we get:
A = (1/2)(15)(20) = 150
Now, we can use this equation to find the area of another triangle with a height of 30 centimeters and a base length of 18 centimeters:
A = (1/2)(18)(30) = 270 square centimeters
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N the metric system, how many microseconds are needed to make one second?
Find an expression in simplest form for the verbal description. The sum of the cost of dinner d and a $27 tip divided equally between 3 people
Final answer:
The expression for the cost of dinner plus $27 tip divided by three people is (d + 27) / 3.
Explanation:
To find an expression for the given verbal description, first write the sum of the cost of dinner d and a $27 tip. This sum is represented by the expression d + 27. Then, to divide this sum equally among 3 people, you divide the entire expression by 3. The final expression in simplest form would be (d + 27) / 3.
Find the root that is a real number. rootindex 4 startroot 4096 endroot
Answer: 8
Step-by-step explanation:[tex]\sqrt[4]{4096}[/tex]
We need to factor this, so
[tex]4096|2\\2048|2\\1024|2\\512|2\\256|2\\128|2\\64|2\\32|2\\16|2\\8|2\\4|2\\2|2\\1[/tex]
[tex]4096 = 2^{12}[/tex]
We have to remember that [tex]x^{n+m}=x^{n}.x^{m}[/tex]
This way, we have [tex]\sqrt[4]{4096}=\sqrt[4]{2^{12}} = \sqrt[4]{2^{4}.2^{4}.2^{4}} = 2.2.2=8[/tex]
Some friends equally split some containers of strawberries. each container held the same number of strawberries. the expression 9x/7 represents how many strawberries each person received when splitting x containers. what does the number 7 in the expression represent?
After observing this pattern, Hideko made a conjecture for the next shape in the pattern. Five circles in a row. Each circle is divided into 4 equal-sized sectors. In the first circle, the top left sector is shaded. In the second circle, the bottom left sector is shaded. In the third circle, the bottom right sector is shaded. In the fourth circle, the top right sector is shaded. In the fifth circle, the top left sector is shaded. Which shape was most likely her conjecture for the next shape?
The left bottom sector will be the next shape that is going to be shaded.
Given that,
Five circles in a row. Each circle is divided into 4 equal-sized sectors.
In the first circle, the top left sector is shaded.
In the second circle, the bottom left sector is shaded.
In the third circle, the bottom right sector is shaded.
In the fourth circle, the top right sector is shaded.
In the fifth circle, t the bottom right sectoris shaded.
Which shape was most likely her conjecture for the next shape is to be determined.
Fraction is defined as the number of compositions that constitutes the Whole.
Here,
Let assign a number of shading to the various sector of the circle,
1 = the top left sector
2 = the bottom left sector
3 = the bottom right sector
4 = the bottom right sector
Now,
Series of shading the sector of a circle,
1, 2, 3, 4, 3, 2,1
We need to find what is the 6th conjecture
at 6th = 2
2 = the bottom left sector
Thus, the left bottom sector will be the next shape that is going to be shaded.
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The true conditional statement, "If 5x + 7 = 2x - 1, then 3x + 7 = -1," illustrates which property of equality?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Answer: The correct option is second, i.e., Subtraction Property of Equality.
Explanation:
The given equation is,
[tex]5x+7=2x-1[/tex]
The Subtraction Property of Equality states that if a, b and c are real numbers then, [tex]a=b[/tex] and [tex]a-c=b-c[/tex] are equivalent equations.
Using Subtraction Property of Equality we subtract 2x from both the sides of given equation,
[tex]5x+7-2x=2x-1-2x[/tex]
Then combined like terms,
[tex](5x-2x)+7=(2x-2x)-1[/tex]
[tex]3x+7=-1[/tex]
It is the required equation.
Hence, second option is correct.
In a recent year there were about 400,000,000 mobile internet users. That same year, there were about 1.2* into 10 ninths desktop internet users. About how many time larger was the number of desktop internet users than the number of mobile internet users?
Final answer:
The number of desktop internet users is 3 times larger than the number of mobile internet users.
Explanation:
To find out how many times larger the number of desktop internet users is compared to mobile internet users, we need to perform a division. We divide the number of desktop internet users by the number of mobile internet users.
The number of desktop internet users is represented as 1.2 x 109. To simplify this number, we can write it as 1,200,000,000. The number of mobile internet users is 400,000,000.
Now, we divide the number of desktop internet users by the number of mobile internet users:
1,200,000,000 / 400,000,000 = 3
Therefore, the number of desktop internet users is 3 times larger than the number of mobile internet users.
Find the perimeter of quadrilateral pqrs with the vertices p(2 4) q(2 3) answer
Although this problem can be solved easily if given the figure, we can simply imagine to solve this. We see that we are given two points of the quadrilateral which are (2, 4) and (2, 3). This means that from P to Q, there is only a distance of 1. Since a quadrilateral has 4 equal sides therefore the perimeter is 4 units.
Answer:
4 units
Which value is equivalent to
Select one:
a. 64 over 49
b. 8 over 49
c. 16 over 7
d. 512 over 7
45 decrease by twice a number
If a cube shaped cell is 3 units tall by 3 units wide and 3 units long, what is the volume of the cell?
The volume of the cube is 27 cubic units.
Volume = side length × side length × side length
Given:
the side length of the cube is 3 units,
we can calculate the volume as follows:
Side length = 3 units
Volume = 3 units × 3 units × 3 units
= 27 cubic units
So, the volume of the cube-shaped cell is 27 cubic units.
solve the equation
6x-2y+1=0
3x-5y+7=0
What equation could be used to solve this problem?
The sum of two consecutive integers is 141. Find the integers.
Daniel income tax rate is 15% if he made 32,000 this year what will his pay be in taxes this year
Daniel will pay $4,800 in taxes for the year by applying a 15% tax rate to his $32,000 income.
Explanation:To calculate the amount of income tax Daniel will pay on his $32,000 income, we will apply the 15% tax rate that corresponds to the income bracket provided in the reference material. Here's how the calculation is done:
First, identify the total income: $32,000.Next, multiply the total income by the tax rate: $32,000 * 15% (or 0.15).The calculation will be: $32,000 * 0.15 = $4,800.Therefore, Daniel will pay $4,800 in taxes for the year.
true or false, If points F and G are contained in a plane, then FG is entirely contained in that plane
Suppose the ram for a certain computer has 256m words, where each word is 16 bits
Identify the number that does not belong with the other three. Explain your reasoning. -[tex] \frac{10}{2} [/tex], -13.4, [tex] \sqrt{18} [/tex], 22.7
What times what equals 75
The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, e(y) = ?0 + ?1x, is known as
Use the distributive property to simplify the expression ( y − 9 ) ( 10)
What is the distance between (4,7) and (2,2)?
Choose 1 Answer:
A: √10
B:√29
C: 8
D: 9
Suppose you have 2 1/2 cups of ice cream. If a serving consists of 1/2 of a cup, how many servings do you have?
Question 1 options:
4
5
6
7
1/2 cup + 1/2 cup = 1 cup
so four 1/2 cups = 2 cups
so five 1/2 cup servings = 2 1/2 cups
answer is 5
2^x=3^x+1 what are the exact approximate solutions
Answer:
The exact approximate solution is x=-3.
Step-by-step explanation:
Given : Expression [tex]2^x=3^{x+1}[/tex]
To find : What are the exact approximate solutions?
Solution :
Step 1 - Write the expression
[tex]2^x=3^{x+1}[/tex]
Step 2 - Taking log both side,
[tex]\log(2^x)=\log(3^{x+1})[/tex]
Step 3 - Applying logarithmic property, [tex]\log a^x=x\log a[/tex]
[tex]x\log(2)=(x+1)\log(3)[/tex]
Step 4 - Solve
[tex]x(\log(2)-\log(3))=\log(3)[/tex]
[tex]x=\frac{\log(3)}{(\log(2)-\log(3))}[/tex]
[tex]x=\frac{\log(3)}{\log(\frac{2}{3})}[/tex]
[tex]x=\frac{0.477}{-0.176}[/tex]
[tex]x=-2.710\approx -3[/tex]
Therefore, The exact approximate solution is x=-3.
Answer:
D edge
Step-by-step explanation:
what is 48% of 576? round the answer to the nearest hundredth
Mike and his friend were playing 2 on 2 at the public court. They were using a homemade basketball and the volume of the ball was 288p. A regulation basketball has a circumference between 29.5-30 in. Can this ball be used in a regulation basketball game?
What is the fraction 3/2 squared in fraction form?
Please help
Fraction 3/2 squared in fraction form is 9/4.
What is Fraction?A fraction represents a part of a whole.
Given,
The fraction is 3/2
In the given fraction the numerator is three and denominator is 2
Three by two which is a improper fraction
We have to square 3/2
Three by Two whole square
(3/2)²
Three square by two square
3²/2²
Nine by four
9/4
Hence fraction 3/2 squared in fraction form is 9/4.
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Find three consecutive even integers such that 4 times the third integer is 4 more than the 3 times the first integer plus two times the second integer.
The area of a square living room is 256 ft2. Which is the length of the room?
Which statement is true about the domain of y = 3(2^-x)? Explain.
The domain is all real numbers greater than or equal to 2.
The domain is all real numbers greater than 0
The domain is all real numbers
The domain is all real numbers less than 0
The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. The domain of the function y = 3(2^-x) is all real numbers, as there are no restrictions on x from the form of the function itself.
The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. This is because for the function given, there are no restrictions on the values that x can take. The base of the exponent, 2, is positive and since exponents can take any real number, negative or positive, there is nothing to prevent any real x from being used as an input. Furthermore, since the function does not contain any terms that would result in undefined operations, such as division by zero or negative numbers under an even root, the domain remains unrestricted.
Which of the following compensation options helps pay for premiums that cover medical expenses?
A.
Cafeteria plan
B.
401(k)
C.
Life insurance
D.
Health insurance
Answer: Option 'D' is correct.
Step-by-step explanation:
Health insurance is an insurance that covers the risk of a person incurring medical expenses, for this TPA is hired to verify and collect the medical bills regarding the medical expenses .On the other hand, Life Insurance covers the risk of death of a person and after the sum insured goes to the Nominee.
Whereas, Cafeteria plan is a reimbursement plan done by employees to contribute their gross income in a designated accounts.
Hence, Option 'D' is correct.