Answers
Answer:
[tex]Area\ of\ a\ trinagle = \frac{5}{12}x^2[/tex] [tex]or\ 0.42x^2[/tex]
Step-by-step explanation:
Given:
Height of the triangle [tex]h = x[/tex]
Base of the triangle [tex]b=\frac{5}{6}x[/tex]
We need to find the area of the triangle.
Solution:
Using given Formula:
[tex]Area\ of\ a\ trinagle = \frac{1}{2}bh[/tex]
Where:
b = Base of the triangle.
h = Height of the triangle.
Substitute [tex]h = x[/tex] and [tex]b=\frac{5}{6}x[/tex] in equation in given formula.
[tex]Area\ of\ a\ trinagle = \frac{1}{2}(\frac{5}{6})x\times x[/tex]
[tex]Area\ of\ a\ trinagle = \frac{5}{12}x^2[/tex]
[tex]Area\ of\ a\ trinagle =0.42x^2[/tex]
Therefore, Area of the triangle is [tex]\frac{5}{12}x^2[/tex] or [tex]0.42x^2[/tex].
Related Questions
Your answer should be a polynomial in standard form.(x-5)(x-4)
Answers
Answer: x^2-9x+20
Step-by-step explanation:
Answer:
x² - 9x + 20
Step-by-step explanation:
Given
(x - 5)(x - 4)
Each term in the second factor is multiplied by each factor in the first factor, that is
x(x - 4) - 5(x - 4 ) ← distribute both parenthesis
= x² - 4x - 5x + 20 ← collect like terms
= x² - 9x + 20
Puppy B weighs 8 pounds which is about 75% of its adult weight what will be the adult weight of puppy B
Answers
The adult weight of puppy B is estimated to be around 11 pounds, as we learned by understanding percentages and using a mathematical formula to determine the total from a known percentage.
Explanation:
The subject is Mathematics and it involves a commonly used concept known as ratios and percentages. From the question, we know that puppy B weighs 8 pounds which is about 75% of its adult weight. This means that the adult weight will be greater than 8 pounds.
To find the adult weight, we know that the puppy's current weight represents 75% of it. So, we use the formula to find the total when we know the percentage:
Weight = percentage / 100 * total Weight = 8 pounds, Percentage = 75 Then we rearrange to find the total: Total = Weight / (Percentage / 100) = 8 / (75 / 100) = 8 / 0.75 = 10.67 pounds approximately
Therefore, we can estimate that the adult weight of puppy B will be around about 11 pounds.
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The adult weight of Puppy B will be approximately 10.67 pounds.
To find the adult weight of Puppy B, we can set up a simple proportion based on the given information that 8 pounds is 75% of its adult weight. Let's denote the adult weight as A .
We can express the relationship as:
[tex]\[ 8 \text{ pounds} = \frac{75}{100} \times A \][/tex]
To solve for [tex]\( A \)[/tex], we can multiply both sides of the equation by [tex]\( \frac{100}{75} \)[/tex] to isolate [tex]\( A \)[/tex]:
[tex]\[ A = 8 \text{ pounds} \times \frac{100}{75} \][/tex]
Now, we calculate the value of A:
[tex]\[ A = 8 \times \frac{4}{3} \][/tex]
[tex]\[ A = \frac{32}{3} \][/tex]
[tex]\[ A \approx 10.67 \text{ pounds} \][/tex]
Therefore, the adult weight of Puppy B is approximately 10.67 pounds.
Selma is buying a cell phone for business. The regular price of the phone is $179. If she buys the phone at 20% discount how much will she save?
Answers
Answer:
[tex]\large \boxed{\$35.80}[/tex]
Step-by-step explanation:
Discount = Regular price × % discount
[tex]\text{Discount} = \text{\$179 regular price} \times \dfrac{\text{\$20 }}{\text{\$100 regular price}} = \textbf{\$35.80}\\\text{Selma will save $\large \boxed{\mathbf{\$35.80}}$}[/tex]
Selma will save $35.8 after getting 20% discount on regular price.
What is Discount?" Discount is the deduction amount from the regular price assigned to any product."
Formula used
Discount = Regular Price × discount %
According to the questions,
Regular price = $179
Discount% = 20%
Substitute the value in the formula we get,
Discount = 179 × 20%
= 179 × (20 / 100)
= $ 35.8
Hence, Selma will save $35.8 after getting 20% discount on regular price.
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Answer part A and part B and explain how you got your answers please ❤️
Answers
Part a: Option c: [tex]3x+90+x-14=180[/tex]
Part b: The value of x is 26
Explanation:
Part a:
Option a: [tex]3x+x-14=180[/tex]
Since, adding all the angles in the straight line results in 180°, and only two of the three angles were added in the equation to find the value of x.
Thus, the equation [tex]3x+x-14=180[/tex] cannot be used to determine the value of x.
Hence, Option a is not the correct answer.
Option b: [tex]3x+90+x-14=90[/tex]
Adding all the angles in the straight line results in 180°.
Thus, adding all the angles does not equals to 90°
Hence, the equation [tex]3x+90+x-14=90[/tex] cannot be used to determine the value of x.
Hence, option b is not the correct answer.
Option c: [tex]3x+90+x-14=180[/tex]
Since, the straight line is 180° and thus adding the angles in this straight line will result in 180°
Thus, the angles in this straight line are 3x, 90° and x-14.
Hence, adding these angles will result in 180°
Thus, the equation becomes
[tex]3x+90+x-14=180[/tex]
Hence, the equation used to determine the value of x is [tex]3x+90+x-14=180[/tex]
Thus, Option c is the correct answer.
Option d: [tex]4x+90=360[/tex]
Adding all the angles in the straight line results in 180°.
Since, not all the three angles were added in this equation and the equation equals to 180°
Hence, the equation [tex]4x+90=360[/tex] cannot be used to determine the value of x.
Thus, Option d is not the correct answer.
Part b:
To determine the value of x, we shall add all the angles of the equation [tex]3x+90+x-14=180[/tex]
Thus, we get,
[tex]4x+76=180[/tex]
Subtracting both sides by 76,
[tex]4x=104[/tex]
Dividing both sides by 4, we get,
[tex]x=26[/tex]
Thus, the value of x is 26.
x = 1 and y = -3 satisfy x - 2y = 5
True or false
Answers
Answer:
false
Step-by-step explanation:
Step :1
Given x- 2 y =5 .......(1)
put x=1 and y= -3 on left hand side of given equation
1 - 2 (-3) = 5
1 + 6 = 5
7 ≠ 5
both sides are not equal
so it is false
Answer:
false
Step-by-step explanation:
x - 2y = 5
when x = 1, and y = -3
1 -2(-3) = 5
1 + 6 = 5
7 ≠ 5
Connie's dog fido weighs 35 pounds. Her vet placed fido on a diet. What inequality can you write to find the average number of pounds Fido must lose monthly to reach a healthier weight of 28 pounds or less within 6 months? Write the inequality and solve.
Please give inequality, solution, and show work
Answers
Fido's dog must lose 1.17 pounds each month to reach healthier weight.
Step-by-step explanation:
Given,
Weight of fido's dog = 35 pounds
Time period = 6 months
Goal weight to reach = 28 or less pounds
Let,
m be the weight to be lose each month.
Weight of dog - Time period * Weight to lose each month ≤ Goal weight
[tex]35-6m\leq 28\\-6m\leq 28-35\\-6m\leq -7[/tex]
Dividing both sides by -6
[tex]\frac{-6m}{-6}\leq \frac{-7}{-6}\\\\m\leq 1.17[/tex]
Fido's dog must lose 1.17 pounds each month to reach healthier weight.
Keywords: division, subtraction
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What is the algebraic expression for three more cookies than are in the jar
Answers
Answer:
x+3
Step-by-step explanation:
Since the number of cookies in the jar could be anything we'll use a variable to represent it, x. so three more than x is what?
Well, what's thee more than 5? 8, so you add 3.
So x+3
The first house on the street has a lawn that is 300 feet long. The second house
has a lawn that is 50 feet shorter than the first lawn. The third house has a lawn
that is twice that of the second house. How far is it from the beginning of the
first house's lawn to the end of the third house's lawn?
feet
Answers
Final answer:
The total distance from the beginning of the first house's lawn to the end of the third house's lawn is 1050 feet. This calculation is done by adding the length of the first house's lawn (300 feet), the second house's (250 feet), and double the second's lawn for the third house's (500 feet).
Explanation:
To calculate the total length of the lawns from the first to the third house, we first determine the length of each lawn individually and then add them together:
The first house has a lawn that is 300 feet long.
The second house has a lawn that is 50 feet shorter than the first lawn, so it is 300 - 50 = 250 feet long.
The third house has a lawn that is twice the length of the second house's lawn, so it is 2 × 250 = 500 feet long.
Add the lengths of the three lawns together to find the total distance from the beginning of the first house's lawn to the end of the third house's lawn:
300 feet + 250 feet + 500 feet = 1050 feet
Therefore, it is 1050 feet from the beginning of the first house's lawn to the end of the third house's lawn.
What is 3/2+2/3 in fraction form
Answers
Answer:
[tex]\frac{13}{6}[/tex] or [tex]2\frac{1}{6}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:3/2 x 3= 9/6
2/3 x 2= 4/6
9/6 + 4/6 = 13/6
13/6=2 1/6
Amanda is at a store for apples and bananas. if she buys 6 apples and 5 bananas, it will cost $8.00. is she buys 5 apples and 7 bananas, it will cost $9.50. write and solve a system to determine how much the apples cost
Answers
Answer:
Therefore the cost of each apple is $ 0.50 and each banana is $1.
Step-by-step explanation:
Given , Amanda buys 6 apples and 5 bananas , it will cost $8.00 and if she buys 5 apples and 7 bananas it will cost $9.50.
Let the cost of one apple be =$ x
and the cost of one banana be =$y
According to the problem,
6x+5y=8.........(1) 5x+7y= 9.50............(2)
Equation (1)×5 - equation (2) × 6
30x +25 y-(30x+42y)= 40-57
⇔30x+25y -30x-42y= -17
⇔-17y =-17
⇔y=1
putting the value of y in equation (1)
6x+5×1=8
⇔6x = 8-5
⇔6x=3
⇔[tex]x =\frac{3}{6}[/tex]
⇔x = 0.50
Therefore the cost of each apple is $ 0.50 and each banana is $1.
george buys a bowl of soup and bread for $8.00 and leaves a 6% tip what is the total cost of the meal
Answers
Answer:
$8.48
Step-by-step explanation:
$8.00 x .06%= $ .48 ---$8.00 + $ .48=$8.48
Answer:
$8.48
Step-by-step explanation:$8.00 x .06%= $ .48 ---$8.00 + $ .48=$8.48
The rate at which energy is used is called
work, voltage, power, or amperage.
Answers
Answer:
The rate at which energy is used is called power.
Step-by-step explanation:
Answer:
Power is the answer
Step-by-step explanation:
Solve for x in the equation x squared minus 8 x + 41 = 0.
x = negative 4 plus-or-minus StartRoot 37 EndRoot i
x = –4 ± 5i
x = 4 plus-or-minus StartRoot 37 EndRoot i
x = 4 ± 5i
Answers
Answer:
Option 4 - The solution of x is [tex]x=4\pm5i[/tex].
Step-by-step explanation:
Given : Equation [tex]x^2-8x+41=0[/tex]
To find : Solve for x in the equation ?
Solution :
Solving a quadratic equation [tex]ax^2+bx+c=0[/tex] solution is given by, [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Here, a=1, b=-8 and c=41
[tex]x=\frac{-(-8)\pm\sqrt{(-8)^2-4(1)(41)}}{2(1)}[/tex]
[tex]x=\frac{8\pm\sqrt{-100}}{2}[/tex]
[tex]x=\frac{8\pm10i}{2}[/tex]
[tex]x=4\pm5i[/tex]
Therefore, the solution of x is [tex]x=4\pm5i[/tex].
Answer:
D
Step-by-step explanation:
trust meh
Solve the inequality for #5 Please! (Ignore my horrible handwriting im a lefty lol)
Answers
Question:
Solve the inequality:
5.1 – r ≥ 5
Answer:
r ≤ 0.1
Solution:
Step 1: Given inequality:
5.1 – r ≥ 5
Step 2: Subtract 5.1 from both sides of the inequality
⇒ 5.1 – r – 5.1 ≥ 5 – 5.1
⇒ – r ≥ – 0.1
Step 3: To reverse the inequality, multiply both sides by –1.
⇒ (–r) × (–1) ≥ – 0.1 × (–1)
Negative × Negative = Positive
⇒ r ≤ 0.1
Hence the solution to the given inequality is r ≤ 0.1.
Lolo typed 1,125 words in 15 minute let w represent the number of words typed each minute if Lolo typed the same number of word each minute how many words did she type in 1 minute
Answers
Answer:
15 words
Step-by-step explanation:
i looked it up online
At Keller's Bike Rentals, it costs 42$ to rent a bike for 8 hours. How many hours of bike use does a customer get per dollar? rounded to nearest hundredth
Answers
Final answer:
By dividing the total hours of bike use (8 hours) by the total cost ($42), you find that a customer gets approximately 0.19 hours of bike use per dollar when renting a bike at Keller's Bike Rentals, rounded to the nearest hundredth.
Explanation:
To determine how many hours of bike use a customer gets per dollar at Keller's Bike Rentals, we need to perform a simple division calculation using the information provided. The total cost of renting a bike for 8 hours is $42.
Dividing the total hours of bike use by the total cost gives us the hours of bike use per dollar:
Hours per dollar = Total hours of bike use / Total cost
Hours per dollar = 8 hours / $42
Now, we perform the division:
Hours per dollar = 0.19047619...
When rounded to the nearest hundredth, this is approximately 0.19 hours per dollar.
The rectangles in the figure below are similar. Find the value of x.
A. 2.4
B. 2.7
C. 6
D. 6.7
Answers
Answer: the answer is 6
Step-by-step explanation:
The value of x is 6.
What is Similarity?Two triangles are comparable if the measurements of their corresponding sides are proportionate. The same is true if the lengths of two sides in one triangle are proportional to the lengths of the corresponding sides in another triangle and the included angles are congruent.
Given:
As, the rectangles in the figure below are similar.
Using the property of similarity
x/(x+ 4) = 3/5
5x = 3x + 12
5x - 3x = 12
2x = 12
Divide both side by 2
2x /2 = 12/2
x = 6
Hence, the value of x is 6.
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7 2/3 + 2 1/5 as a fraction
Answers
Answer:
148/15 or 9 13/15
Step-by-step explanation:
7 2/3 + 2 1/5
7 2/3 needs to be translated into a bigger fraction by taking 7 and multiplying it with the denominator and then adding onto the numerator.
7 2/3 = 23/3
The same goes for 2 1/5.
2 1/5 = 11/5
Now we have 23/3+11/5 so we need to find a common denominator which would be fifteen.
23/3 + 11/5
23/3 x 5/5 = 115/15
11/5 x 3/3 = 33/15
115/15 + 33/15 = 148/15
The value of 7 2/3 + 2 1/5 is 9 13/15
The lowest common multiple of 3 and 5 is 15. Therefore, 7 2/3 + 2 1/5 will be calculated thus:
= 7 2/3 + 2 1/5
= [7 + 2/3× 15] + [2 1/5 × 15]
= 7 10/15 + 2 3/15
= 9 13/15
In conclusion, the value of the fraction 7 2/3 + 2 1/5 is 9 13/15
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which inequality is graphed on the number line ?
Answers
The product of 10 and half of A
Answers
Answer:
Step-by-step explanation:
Question is in the picture, please help
Answers
Answer:
18.9 units to 1 decimal Place
Step-by-step explanation:
You need the diameter so do 3 X 2 = 6
Circumference is pi X diameter so
Do 6 X pi = 6pi or 18.9 to 1 dp
scientific notation of .313
Answers
Answer:
3.13 * 10^-1
Step-by-step explanation:
Y’all I need help on this what is this
Answers
Answer:
200
Step-by-step explanation:
The system crosses (3,4). How many solutions will the system have?
Answers
Answer:
the system would have crossed one solution
Which data set is the most spread from its mean?
14,26, 24, 28
22, 16, 18, 36
22, 28, 20, 22
21, 19, 27, 25
Answers
Answer 22,16,18,36
Step-by-step explanation:
Second data set 22, 16, 18, 36 is the most spread from its mean
What is Mean?" Mean is defined as the ratio of the sum of the all the numbers of data set to the total numbers of number present in data set."
Formula used
Mean = [tex]\frac{Sum of all the numbers in data set}{Total number of numbers}[/tex]
According to the question,
Given data set,
14,26, 24, 2822, 16, 18, 3622, 28, 20, 2221, 19, 27, 25Mean of first data set,
Substitute the values in the formula we get,
Mean = [tex]\frac{14 +26 + 24 + 28}{4}[/tex]
[tex]=\frac{92}{4}\\ =23[/tex]
Mean of second data set,
Substitute the values in the formula we get,
Mean = [tex]\frac{22 +16 + 18 + 36}{4}[/tex]
[tex]=\frac{92}{4}\\ =23[/tex]
Mean of third data set,
Substitute the values in the formula we get,
Mean = [tex]\frac{22 +28 + 20 + 22}{4}[/tex]
[tex]=\frac{92}{4}\\ =23[/tex]
Mean of fourth data set,
Substitute the values in the formula we get,
Mean = [tex]\frac{21 +19 + 27+ 25}{4}[/tex]
[tex]=\frac{92}{4}\\ =23[/tex]
Hence, second data set 22, 16, 18, 36 is the most spread from its mean.
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Identify the Pythagorean triple. A) 3, 6, 12 B) 8, 16, 32 C) 12, 34, 30 D) 28, 45, 53
Answers
Answer:
D, 28, 45, 53
Step-by-step explanation:
A Pythagorean triple consists of three positive integers a, b, and c, such that a2 + b2 = c2. ... The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a2 + b2 = c2; thus, Pythagorean triples describe the three integer side lengths of a right triangle.
A pitcher throws a baseball to a batter who then hits the ball. At which of these times would the ball have its maximum speed? A. just as it leaves the bat B. a second after it leaves the bat C. two seconds after it leaves the bat
Answers
Answer:
A. just as it leaves the bat
Step-by-step explanation:
It depends on the assumptions you make.
If you assume that the speed is reduced by air resistance, and that the hit is a fly ball, then the speed begins to slow as soon as the ball leaves the bat. Its maximum speed will be just as it leaves the bat.
__
If you assume no air resistance and that the ball takes 1 second to reach the ground, the speed will be a maximum just as the ball hits the ground, a second after it leaves the bat.
__
If you assume no air resistance and that the ball takes 2 seconds to reach the ground, the speed will be a maximum just as the ball hits the ground, two seconds after it leaves the bat.
__
Depending on the nature of the pitch and the hit (and the assumptions you make about energy loss and gain), the maximum speed may be as the ball leaves the pitcher's hand, or just as the ball hits the bat.
__
My guess is that the assumptions listed for the first case are the ones you're most likely expected to use. The answer above reflects that choice.
helppppppppppppppppp
Answers
Answer:
C
Step-by-step explanation:
Note that (f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 4x + 1 + x² - 5 ← collect like terms
= x² + 4x - 4 → C
Can someone please answer this question please answer my questions answer it correctly please and show work please
Answers
Answer:
1) A
2) B
Step-by-step explanation:
1) Zoe payed a total of $77.49
$4.99 shipping fee + 14.50(n) scarves = $77.49
4.99 + 14.50n = 77.49
A
2)
2 electrons, each have a (-1) charge
2 protons, each have a (+1) charge
-1 - 1 + 1 + 1
-2 + 2
0
B
Hope this helps :)
How many multiples of 4 are natural
numbers less than or equal to 10?
Answers
Answer:
2, there'd be more, but natural numbers are like, whole numbers, integers basically except they're like non-negative integers. Enough ranting. So 4 and 8 would be the numbers because they are mulitplied by 4,1, and 2.
Since 4 cant go into 10 completely without a decimal, there'd only be 2 multiples.
Confusing explanation, but i think my answer is correct. (or is it, dun dun dun!)
Have a good day~