The triangle can be a right triangle according to the Pythagorean theorem.
Explanation:To determine if a triangle is a right triangle, we can use the Pythagorean theorem. According to the Pythagorean theorem, in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (hypotenuse).
In this case, the lengths of the sides are 3, 3, and 3√2. Let's calculate: (3)² + (3)² = 18 and (3√2)² = 18. Since the two values are equal, the triangle satisfies the Pythagorean theorem and can be a right triangle.
10. Elaine is buying cube shaped blocks to add to her mantle as decoration. She needs the dimensions of the cubes to be less than 5 inches along each edge. Which of the following would work according to the size she needs? ece of ch shows to find ? A. Cubes with a volume of 216 in.3 B. Cubes with a volume of 125 in.3 C. Cubes witha volume of 64 in.3 D. Both B and C would work
Answer: OPTION C.
Step-by-step explanation:
The volume of a cube can be calculated with the following formula:
[tex]V=s^3[/tex]
Where "s" is the length of each edge of the cube.
Solving for "s":
[tex]s=\sqrt[3]{V}[/tex]
Let's check each option to find which volume would work according to the size she needs:
A. Substitute [tex]V=216in^3[/tex] into [tex]s=\sqrt[3]{V}[/tex], then:
[tex]s=\sqrt[3]{216in^3}=6in[/tex]
B. Substitute [tex]V=125in^3[/tex] into [tex]s=\sqrt[3]{V}[/tex], then:
[tex]s=\sqrt[3]{125in^3}=5in[/tex]
C. Substitute [tex]V=64in^3[/tex] into [tex]s=\sqrt[3]{V}[/tex], then:
[tex]s=\sqrt[3]{64in^3}=4in[/tex]
Based on these results, we can determine that the cubes with a volume of [tex]64in^3[/tex] would work.
What is 7 hundreds x 10 in unit form
Answer: 7000
Step-by-step explanation:
Decrease £28 by 7%
Increase £28 by 7%
Answer:
decrease = 26.04
increase = 29.96
Step-by-step explanation:
Decrease of £28.00 by 7% = £28 -(7% of 28)
= £28 - (0.07 × 28)
= £28 - 1.96
= £26.04
Increase of £28 by 7% = £28 +(7% of 28)
= £28 +(0.7 × 28)
= $28 + 1.96
= £29.96
Decrease £28 by 7% would be £26.04
and increase £28 by 7% would be £29.96
8. Charlene is looking into cell phone plans. Cell Plus gives unlimited minutes for $50/month. A1 Cell offers a $40 monthly fee, plus 5¢/min for any time over 300 min per month.
a) Write a linear equation to represent the charges for each company.
b) Graph the two equations to find the point of intersection.
c) What does the point of intersection represent?
d) Which plan should Charlene choose if she estimates that she will use her phone
10 h per month? 6 h per month?
Answer:
See explanation
Step-by-step explanation:
Let x be the number of minutes Charlene uses her phone per month and $y be the charge (in dollars) for x minutes of usage the phone.
A. Cell Plus gives unlimited minutes for $50/month. This paln doesn't depend on time, so
[tex]y=50[/tex]
A1 Cell offers a $40 monthly fee, plus $0.05/min for any time over 300 min per month, then
[tex]y=40+0.05(x-300)\\ \\y=40+0.05x-15\\ \\y=25+0.05x[/tex]
B. Attached diagram shows the graphs of these two functions.
C. The point of intersection is (500,50) and it represents the number of minutes x=500 when to plans have the same charges.
D. 10 hours = 600 minutes.
Cell plus charge = $50
A1 Cell charge [tex]=25+0.05\cdot 600=\$55[/tex]
Charlene has to choose Cell plus plan in this case.
6 hours = 360 minutes
Cell plus charge = $50
A1 Cell charge [tex]=25+0.05\cdot 360=\$43[/tex]
Charlene has to choose A1 Cell plan in this case.
the product of 12 and 3
Answer:
36
Step-by-step explanation:
12 x 3 = 36
Estimate by first rounding to the nearest whole number. 62.25 − 18.92
A : 43
B : 44
C : 40
D : 42
Answer:
The answer would be 43 because 62.25-18.92=43.34 therefore it would be rounded down the nearest whole number
Answer:
A
Step-by-step explanation:
First round both numbers to the nearest whole number which would be 62-19. Now calculate. The answer is 43
4 people can dig a hole in 3 hours. How long does it take 9 people.
Answer:
9 people is 9/4 = 2.25 times more people than 4 people. So, they can do it faster. 3 hours/2.25 = 1.33 hours 1.33 hours x 60 minutes/hour = 80 minutes
Step-by-step explanation:
Answer: 1 hour 20 minutes
Step-by-step explanation:
Let's figure out how long it would take 1 person to dig the hole and then divide that number by 9 (since they are sharing the workload).
[tex]\dfrac{1}{4}x=3\qquad \implies \qquad x = 12\quad \text{It takes 12 hours for 1 person}\\\\\\\dfrac{12\ \text{(for 1 person)}}{9\ \text{(people)}}\quad =1\dfrac{1}{3}\quad =\large\boxed{1\ hour\ 20\ minutes}[/tex]
Explain how to find the square root of 100. Explain why you use the underlined + sign.
Answer:
±10
Step-by-step explanation:
so what squared is 100?
10. but also -10.
10*10 = 100, and -10*-10 is also 100.
therefore, sqrt(100) has two solutions, which are positive or negative 10, and that's the application of ±.
Answer:
10
Step-by-step explanation:
Factor the number: 100 = [tex]10^{2}[/tex]
=[tex]\sqrt{10^2}[/tex]
Apply radical rule: [tex]\sqrt[n]{a^n} =a[/tex]
[tex]\sqrt{10^2} =10[/tex]
=10
Will.mark brainliest, PLEASE HELP!
Answer:
all work is pictured/shown
passes through (4, 2) and (4,-5) in standard form
Answer:
x+4=0
Step-by-step explanation:
Which statement is true about 41?
A. It is a prime number.
B. It is a composite number.
C. It is a whole number that is neither prime nor composite.
D. It is not a whole number.
please help! i'm not understanding
A
41 is not divisible by any number other than 1 and itself so it is prime and not composite and obviously 41 is a whole number so BCD are eliminated
Answer:
A. 41 is a prime number.
Step-by-step explanation:
Since we know that 8x5= 40 and 8x6= 48, it is not a prime number.
And even if you divide any number by 41, you won't get a whole number answer. So that is why 41 is a prime number.
Help with my math homework
Answer:
1. 45, 51
2. 40, 52
3. -64, 128
4. 63.5, 63.75
Step-by-step explanation:
1. It is adding 6 each time.
2. It adds 2, then 4, then 6, each time adding an extra 2 units. (another way to explain is, the original term, 2, that they add is multiplied by 2 each time)
3. It multiplies by -2 each time.
4. It adds 16, then 8, then 4, dividing the term that is added by 2 each time.
Attention:
I didn't do the bottom half of the homework, I will leave that for someone else to get the points. I hope this helps you. :)
The area of a rectangle is 48 cm² and the length of the rectangle is 8 cm longer than the width.
The area of a rectangle is found by multiplying the length times the width.
During the Set Up step of the five-step problem-solving plan, which equation would you set up to solve for the width?
w(w+8)=48
w + 8 = 48
8w = 48
w + 8w = 48
Answer: A
Step-by-step explanation: You know multiplying will be involved, so B can automatically be removed. It states that the length is 8 cm longer. You know absolutely nothing about the width, so the variable of w can be given for the width. You also know the length will be 8 cm longer, of w+8. w and w+8 will be multiplied, which gives you w(w+8).
Answer:
w(w+8)=48
Step-by-step explanation:
!LOOK AT THE PICTURE!
Simplify 15.6 divided by negative 3
Answer:
c -5.2 tell me if you need the explanation
Step-by-step explanation:
2. The perimeter of a rectangular room is 60 feet. Let X be the width of the
room (in feet) and let y be the length of the room (in feet). Select all of
the equations below that could model this situation.
The equation to model the given situation is x+y=30.
Given that, the perimeter of a rectangular room=60 feet.
What is the formula to find the perimeter of the rectangle?The formula to find the perimeter of the rectangle is 2(l+b).
Where, l=length and b=width.
Let x be the width of the room (in feet) and let y be the length of the room (in feet).
So, 60=2(x+y)
⇒x+y=30
Therefore, the equation to model the given situation is x+y=30.
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Joyce paid 63.00 for an item at the store that was 65 percent off the original price . What was the original price
Answer:
100 % - 65% = 35%
this means that 63.00 is 35% the original price
cross multiply:
$63 35%
$x 100%
100 * 63 = 6300
------------ ---------- = $180
35 35
original price $180
The original price, 100% of an item at the store is $180.00.
What is a percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.
For the given situation,
Amount paid by Joyce = $63.00
Consider the original price be 100%
65 percent off the original price = [tex]100 - 65[/tex]
⇒ [tex]35[/tex]
So, 35% of an item is $63.00
The original price 100% can be calculated as
⇒ [tex]\frac{63(100)}{35}[/tex]
⇒ [tex]\frac{63100}{35}[/tex]
⇒ [tex]180[/tex]
Hence we can conclude that the the original price, 100% of an item at the store is $180.00.
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Why are there three zeros in the product of 6X 10'3
The three zeros in the product of 6 and 10^3 arise from the properties of multiplication and exponents; 10^3 results in 1000, which when multiplied by 6, gives 6000, featuring three zeros.
Explanation:The reason there are three zeros in the product of 6 and 10^3 is due to the properties of multiplication and exponents. In exponentiation, 10^3 means multiplying 10 by itself three times, which gives the result of 1000. When you multiply 6 by 1000 (the result of 10^3), it gives 6000, which has three zeros. The number of zeros in the product corresponds to the power of 10 in the original expression.
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Please help me idk this’s
Answer:
1.30
Step-by-step explanation:
1. Write the product using exponents. (1 point)
7.7.7
Suppose you read 1000 pages a month. How long would take you to finish reading 1million pages?
Final answer:
To finish reading 1 million pages while reading 1000 pages a month, it would take the student 1000 months.
Explanation:
To calculate how long it would take to finish reading 1 million pages, we need to find the number of months required. Since the student reads 1000 pages a month, we can set up a proportion:
1000 pages / 1 month = 1 million pages / x months
Cross-multiplying gives:
1000x = 1 million
Dividing both sides by 1000:
x = 1000 months
Therefore, it would take the student 1000 months to finish reading 1 million pages.
6⋅[(32−8)÷4+2]
value?
Answer:
48
Step-by-step explanation:
6(24/4)+2
6(6)+2
6*8
48
What is the length of a segment with endpoints at -4, 6 and 3, 6
Use f(x) = 1
2
x and f -1(x) = 2x to solve the problems.
f(2) =
f−1(1) =
f−1(f(2)) =
Answer:
Part 1) [tex]f(2)=1[/tex]
Part 2) [tex]f^{-1}(1)=2[/tex]
part 3) [tex]f^{-1}(f(2))=2[/tex]
Step-by-step explanation:
we have that
[tex]f(x)=\frac{1}{2}x[/tex]
[tex]f^{-1}(x)=2x[/tex]
Part 1) Find f(2)
For x=2
substitute the value of x in f(x)
[tex]f(2)=\frac{1}{2}(2)[/tex]
[tex]f(2)=1[/tex]
Part 2) find [tex]f^{-1}(1)[/tex]
For x=1
Substitute the value of x in [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(1)=2(1)[/tex]
[tex]f^{-1}(1)=2[/tex]
Part 3) Find [tex]f^{-1}(f(2))[/tex]
we know that
[tex]f(2)=1[/tex] -----> see part 1)
so
[tex]f^{-1}(f(2))=f^{-1}(1)[/tex]
we have that
[tex]f^{-1}(1)=2[/tex] -----> see part 2)
therefore
[tex]f^{-1}(f(2))=2[/tex]
Answer:
f(2) = 1
f−1(1) = 2
f−1(f(2)) = 2
Step-by-step explanation:
just did it egen2020
PLS HELP ASAP trying to finish quick check!
Answer:
1/(x + 1)
Step-by-step explanation:
1/(x² + 3)
x = √(x - 2)
1/((√(x - 2))² + 3
1/(x - 2 + 3)
1/(x + 1)
determine the conversion factor needed for each conversion
cups into gallons
square meters into square centimeters
What is the equation of a line that contains the points (2, -2) and (0, -2)?
a.) y = 0
b.) x = -2
c.) y = -2
d.) x = 0
Answer:
C
Step-by-step explanation:
Both points y is -2 so the answer is
the line y = -2.
Answer: the correct option is
(c) y = -2.
Step-by-step explanation: We are given to find the equation of a line that contains the points (2, -2) and (0, -2).
We know that
the slope of a line containing the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
So, the slope of the given line is
[tex]m=\dfrac{-2-(-2)}{0-2}=\dfrac{0}{-2}=0.[/tex]
Since the line has a point (2, -2) on it, so its equation will be
[tex]y-(-2)=m(x-2)\\\\\Rightarrow y+2=0(x-2)\\\\\Rightarrow y+2=0\\\\\Rightarrow y=-2.[/tex]
Thus, the required equation of the line is [tex]y=-2.[/tex]
Option (c) is CORRECT.
Select the correct answer.
Which histogram correctly represents the data given in this frequency table?
Weight of Students in a Class (kg)
Weight
35-40
40-45
45-50
30-35
12
Frequency
8
10
i think its b
Step-by-step explanation:
What is the solution to this equation?
9 - 4x + 7 x = 15
Answer: x = 2
Step-by-step explanation:
9 - 4x + 7 x = 15
3x = 15-9
3x = 6
x = 2
Point G is the midpoint of RH. It is known that RG = 7x - 23 and RH = 6x + 90. Find the value of GH
Answer:
GH = 96
Step-by-step explanation:
Since G is at the midpoint of RH then RG = SH and
GH = 7x - 23
Thus
RG + GH = RH ← substitute values
7x - 23 + 7x - 23 = 6x + 90
14x - 46 = 6x + 90 ( subtract 6x from both sides )
8x - 46 = 90 ( add 46 to both sides )
8x = 136 ( divide both sides by 8 )
x = 17
Hence
GH = 7x - 23 = (7 × 17) - 23 = 119 - 23 = 96
Answer:
96
Step-by-step explanation:
Drawing a picture helps to think this problem through. 2(7x-23)=6x+90 by midpoint theorem. Solve this equation.
14x-46=6x+90
8x=136
x=17
Substitute x in the equation for RG. 7(17)-23.
7x17=119
119-23=96
I need help with this problem