Answer: Area of ΔABC is 2.25x the area of ΔDEF.
Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as
[tex]A=\frac{\sqrt{3} }{4} a^{2}[/tex]
with a as side of the triangle.
Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:
a₁ = 1.2a
Then, its area is
[tex]A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}[/tex]
[tex]A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}[/tex]
Triangle DEF is 20% smaller than the original, which means its side is:
a₂ = 0.8a
So, area is
[tex]A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}[/tex]
[tex]A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}[/tex]
Now, comparing areas:
[tex]\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )[/tex]
[tex]\frac{A_{1}}{A_{2}} =[/tex] 2.25
The area of ΔABC is 2.25x greater than the area of ΔDEF.
For what value of the variable is each of the following fractions equal to zero: 2y +3/10
I think its 3/10=0.3
2×(-0.15)= -0.3
and -0.3+0.3=so variable value is -0.15
Answer:
2×-1,5+3
Step-by-step explanation:
Hope this helped have an amazing day!
PLEASE HELP!!!
Use linear equation to calculate intercepts.
x - 1/2y=-4
complete the table with values for a and b.
a=
b=
Answer: a=8 b=-4
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Nathan usually drinks 38 ounces of water per day. He read that he should drink 66 ounces of water per day. If he starts drinking 66 ounces, what is the percent increase? Round to the nearest percent.
Answer:
73.6%
Explanation: 38 is the old value and 66 is the new value. In this case we have a positive change of 73.68... percent because the new value is greater than the old value.
Southlake Cable charges $50 per month for basic cable and $5 for each premium movie channel. Lakeview Cable charges $41 per month for the same cable package and $6.50 for each premium movie channel. The graph of the equations representing the costs for each company is shown in the graph.
Answer:
Six movie channels, because 5(6) + 50 = 6.5(6) + 41
Step-by-step explanation:
1. For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to
feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza. Let:
S = number of small pizzas he can buy & L = number of large pizzas he can buy.
Select the system of inequalities that represents this situation.
Answer:
7.25S + 10.50L ≤ 90
The system of inequalities that represents a given situation are S+L>5 and 7.25S+10.50L≤90.
Given that, For a soccer party, Juan collects $90 for pizza. He must buy more than 5 pizzas to feed the team. Pizzas are $7.25 for a small pizza and $10.50 for a large pizza.
What are inequalities?Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Let S = the number of small pizzas he can buy and L = the number of large pizzas he can buy.
Juan must buy more than 5 pizzas to feed the team.
That is, S+L>5
Pizzas are $7.25 for a small pizza and $10.50 for a large pizza=7.25S+10.50L
Juan collects $90 for pizza. So, 7.25S+10.50L≤90
Therefore, the system of inequalities that represents a given situation are S+L>5 and 7.25S+10.50L≤90.
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180=16x -5+5x +4 +9O
Answer:
The answer is in the pic below
Step-by-step explanation:
Answer:
x = 4.3 (repeating 3) in Decimal Form
x = 13/3 in Exact Form
x = 4 1/3 in Mixed Number Form
Step-by-step explanation:
180=16x - 5 + 5x +4 + 90
180 = 21x -5 + 4 + 90 (combine like terms)
180 = 21x + 89
180 = 21x + 89 (subtract 89 on both sides)
-89 - 89
91 = 21x (divide 21 by both sides)
91/21 = 21x/21
4.3 (repeating 3) = x
City A has an elevation of 45 feet above sea level. City B is below sea level, with an elevation of -15 feet. What is the difference in elevation between City A and City B?
Answer:
60 hope this helps!
Step-by-step explanation:
45-(-15) = 60
Answer:
Well person, it's 60 feet.
Step-by-step explanation:
Because it is simple math. You just add 45 and 15 then BOOM! ANSWER
Sharon makes bracelets and necklaces to sell at the school fair. She makes a total of 40 bracelets and necklaces. She makes 3 times as many bracelets as necklaces. Which system of equations can be used to determine how many bracelets, x, and how many necklaces, y, she m
Answer:
So, the system of equations are
x+y=40
x= 3 y
Step-by-step explanation:
Let's make system of equations for the given information.
Let x number of bracelets and y number of necklaces made.
So, for the information
She makes a total of 40 bracelets and necklaces, we can set up equation as
x+y=40
Now, for she makes 3 times as many bracelets as necklaces, we can set up equation as
x=3 y
Determine if this is a function or not based on the graph
O yes
O no
Answer:
yes
Step-by-step explanation:
brainiest plz
The zoo has 12 Emperor penguins, which makes up 24% of all penguins at the zoo. How many penguins live at the zoo?
Answer:
[tex]50[/tex] penguins
Step-by-step explanation:
Let [tex]p[/tex] = number of penguins at the zoo
[tex]24\%p=12[/tex] (Is given that 12 Emperor penguins at the zoo make up 24% of total penguins)
[tex]0.24p=12[/tex]
[tex]p=12\div0.24[/tex]
[tex]p=50[/tex]
∴ There are [tex]50[/tex] penguins at the zoo
Hope this helps :)
What is 2x + 2 when x = 0? A 0 B 2 C 20 D 22
Answer:
B. 2
Step-by-step explanation:
Step 1:
2x + 2 Equation
Step 2:
2 ( 0 ) + 2 Input x value
Step 3:
0 + 2 Multiply
Answer:
B. 2
Hope This Helps :)
Answer:
B
Step-by-step explanation:
What is the value of 2(5b - 7) in terms of y if b = 3y ?
What is the domain of the square root function graphed below?
8
6
4
2
-6 -4
6
8
х
-6
X>1
O x21
OOOO
x>3
x23
Mark this and return
Save and Exit
Next
Submit
Answer:
x ≥ 3
Step-by-step explanation:
the domain of a graph consists of all the input values shown on the x -axis
The domain of the square root function graphed below would be x ≥ 3
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable , functions are indispensable for formulating physical relationships.
The domain is all real numbers for x>3 and the range of the square root function graphed is equal to the interval------> [1,∞)
so, the range is all real numbers for x>3
Hence, the domain of a graph consists of all the input values of the x -axis.
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20 points!
24, and 25 has to be in simplest form.
JUST NEED HELP ON 24 AND 25!
Answer:
I think they would be 7 4/6 & 5 2/8
Step-by-step explanation:
srry if im late!
Drag the correct word into the space provided in order to complete the sentence.
If an outlier is included in a data set the....... is least affected
mean , median, range or standard deviation
Answer:
mean for the the second median for the 1st one
Step-by-step explanation:
Select the values that makes the inequality -w≥ 7 true. Then write an equivalent inequality, in terms of w
The values of [tex]w[/tex] that make the inequality [tex]-w\ge7[/tex] true are
[tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. An equivalent inequality, in terms of [tex]w[/tex], is [tex]w\le-7[/tex]
To get the values that make the inequality true, we have to solve the inequality for [tex]w[/tex]. This will also give an equivalent inequality in terms of [tex]w[/tex]
[tex]-w\ge7\\\\\implies \dfrac{-w}{-1}\le\dfrac{7}{-1}\\\\w\le-7[/tex]
the solution set is the set of values [tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. In other words, [tex]w[/tex] can take up values less or equal to [tex]-7[/tex] to make the inequality [tex]-w\ge7[/tex] true
Also, the inequality equivalent to [tex]-w\ge7[/tex] is [tex]w\le-7[/tex]
Learn more about solving inequalities here https://brainly.com/question/12306534
5.) On Wednesday, a restaurant serves coffee to 75 of 150 of its customers.
What percent of the customers ordered coffee?
Answer:
50%
Step-by-step explanation:
Long division
Answer:
50%
Step-by-step explanation:
To find the percent, divide 75 by 150 and multiply by 100:
75/150
= 0.5
0.5(100)
= 50
So, 50% of the customers ordered coffee
−(5x−0.4)=−7(−0.4−x) need to be exact or rounded to the nearest hundredth.
Answer:
-0.2
Step-by-step explanation:
it's that exact answer , I did not rounded
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
11,60,62
Hope this helps
calculate the quotient 9/4 divided by 3/8
Answer:
6
....................................
Help me with this answer I know there is no solution I just wanna know why
Answer:
The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. ... This is because there is truly no solution—there are no values for x that will make the equation true
Answer:
No solution
Step-by-step explanation:
The solution x = 0 means that the value 0. “No solution” means that there is no values
QUESTION 15!1!!11!JAKQKQKAKAKS
Answer:
2 groups of 3 boys = 6
Step-by-step explanation:
evaluate : 7^4×7^5×7^-9
pls solve to get brainiest
Answer:
1
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] and [tex]a^{0}[/tex] = 1
Given
[tex]7^{4}[/tex] × [tex]7^{5}[/tex] × [tex]7^{-9}[/tex]
= [tex]7^{(4+5-9)}[/tex]
= [tex]7^{0}[/tex]
= 1
Dan runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
Answer:
I think it would be 4 not sure
A puppy weight increases by 15% each week for the first 6 months. The puppy currently weight 3.7 pounds. which expression will not calvulate how much the puppy will weigh in 1 week? A) 3.7(0.15) B) 3.7(1.15) C) 3.7 + 3.7(0.15) D) 3.7 + 0.555
Answer:
B) 3.7(1.15)
Step-by-step explanation:
DOG has coordinates D(3,2), O( 2,-4), G(-1,-1) .A translation maps point D to D (2,4). Find the coordinates of O and G under the translation.
Answer:
If you're on edge and it's the multiple choice one it would be a
3(23−2v)+3v=48
what is v?
Answer:
v=7
Step-by-step explanation:
my previous answer was incorrect, my bad
Answer: v=-7
Step-by-step explanation:
3(23−2v)+3v=48
Distribute:
69-6v+3v=48
Combine like terms:
-6v+3v=-3v
69-3v=48
Subtract 69 on both sides:
69-69-3v=48-69
-3v=-21
Divide 3 on both sides:
-3v/3=-21/3
v=-7
Calculate the slope of a line that passes through the points (9, 3) and (19, -17). 10 2 -2 7/5
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 3) and (x₂, y₂ ) = (19, - 17)
m = [tex]\frac{-17-3}{19-9}[/tex] = [tex]\frac{-20}{10}[/tex] = - 2
What is the compliment of a 45 degree angle
The complement of 45° is the angle that when added to 45° forms a right angle (90° ).
A man has 20.24$. He bought a thing for 4.49$. He also bought another thing for 3.99$. Will the money be enough to buy another item that costs 9.99$. If yes, how much money will remain?
Answer:
Yes: $1.77
Step-by-step explanation:
20.24 - 4.49 = 15.75
15.75 - 3.99 = 11.76
Yes, there will be enough for the 9.99 thing
11.76 - 9.99 = 1.77
The man will have 1.77 at the end.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!