The length of the second side of a triangle is twice the length of the first side. The length of the third side is 4 units more than the first side. The perimeter of the triangle is 52 units. How long is each side, and how do you determine that?
Answer:
First side = 12 units
Second side = 24 units
Third side = 16 units
Step-by-step explanation:
First, we can assign variables for each side of the triangle to make it easier:
A = side 1
B = side 2
C = side 3
The length of the second side of the triangle is twice the length of the first side, so we know that B is twice the length of A. We can represent this in an equation like this:
B = A * 2
The length of the third side is 4 units more than the first side. This tells us that C is going to be 4 more than A:
C = A + 4
And finally, the perimeter of the triangle is 52 units. Since the perimeter is just all the sides added together, we can create this equation:
A + B + C = 52
To start solving for lengths, I'm going to plug in the first two equations we got into the third equation:
A + B + C = 52
A + (A * 2) + (A + 4) = 52
1A + 2A + 1A + 4 = 52
4A + 4 = 52
4A = 48
A = 12
Now that we know what A is, we can solve for the other two variables:
B = A * 2
B = 12 * 2
B = 24
C = A + 4
C = 12 + 4
C = 16
Now we have all three variables, just don't forget what the variables represent (first side, second side, third side).
The vertices of a polygon are given. Find the coordinates of the vertices of the image after the specified translation.
P(–5, 4), Q(1, 4), R(1, 1);
(x, y) —--> (x + 1, y – 5)
P’ (__, __) Q’ (__,__) R’ (__,__)
Answer:
The coordinates of the images are P' (-4, -1), Q' (2, -1), R' (2, -4)
Step-by-step explanation:
If the point (x, y) is translated horizontally h units and vertically k units, then its image is (x + h, y + k) and the rule of translation is T (x + h, y + k)
∵ The vertices of the polygons are P (-5, 4), Q (1, 4), R (1, 1)
∵ The rule of translation is (x, y) → (x + 1, y - 5)
→ That means add each x-coordinate by 1 and subtract each
y-coordinate by 5
∴ P' = (-5 + 1, 4 - 5)
∴ P' = (-4, -1)
∴ Q' = (1 + 1, 4 - 5)
∴ Q' = (2, -1)
∴ R' = (1 + 1, 1 - 5)
∴ R' = (2, -4)
∴ The coordinates of the images are P' (-4, -1), Q' (2, -1), R' (2, -4)
If the point (x, y) is in Quadrant I, which of the following must be true?
Answer:
Both numbers (the x, and the y) must be positive
Step-by-step explanation:
Make a reasonable estimate for the situation. A snail moves at a speed of 3.395 inches per minute. If the snail keeps moving at this rate, about how many inches will it travel in 6.187 minutes?
Answer:
Distance = 21.0049 inches
Step-by-step explanation:
Given the following data;
Speed = 3.395 inches per minute.
Time = 6.187 minutes
To find the distance;
Distance = speed * time
Substituting into the equation, we have;
Distance = 3.395 * 6.187
Distance = 21.0049
Then she needs to find her "heart rate reserve" h by subtracting her average resting heart rate
r from her maximum heart rate m. Write an equation she can use.
Answer:
What this makes no sense
Step-by-step explanation:
Given the set of test scores: 42, 72, 74, 78, 80, 80, 85, 88, 92. If the outlier is removed, which statement is true? Select all that apply.
Choose all that apply:
The standard deviation decreases.
The mean increases.
The median decreases.
The range increases.
Answer:
Standard deviation decreases and mean increases
Step-by-step explanation:
The test scores are:
42, 72, 74, 78, 80, 80, 85, 88, 92
Mean = (42 + 72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/9 = 76.77
Median is 5th term which is 80
Range is highest score - lowest score = 92 - 42 = 50
Standard deviation from an online calculator gives 13.69
Now,we want to know what happens to those values when the outlier is removed. The outlier in this case is 42 because it is not consistent with other scores which range from 72 - 92.
Thus,the new set of scores are;
72, 74, 78, 80, 80, 85, 88, 92
New Mean = (72 + 74 + 78 + 80 + 80 + 85 + 88 + 92)/8 = 81.125
New Median will be the average of the 4th and 5th term which is (80 + 80)/2 = 80
New Range = 92 - 72 = 20
New Standard deviation from an online calculator gives 6.39
From the comparison above when the outlier is removed, we can say that;
- Mean increases
- remains the same
- Range decreases
- standard deviation decreases
Which of the following equations shows the commutative property of multiplication?
A.8x0=0
B.3 x 11 = 11 x 3
C.7 + 7 + 7 = 3 x 7
D.(4 x 2) x1 = 4 x (2 x 1)
Answer: D.(4 x 2) x1 = 4 x (2 x 1)
Help needed, much appreciated
Answer:
7
Step-by-step explanation:
4 x -2 + 3 x 5 = 7
PLEASE HURRY!!!
What is the output of y=6x−11 when the input is 5?
Answer:
The y-intercept occurs when x = 0, so you can see it is the point: (0, 11).Step-by-step explanation:
Find the missing length of the triangle
A= yd
Answer:
a = 6yd
Step-by-step explanation:
[tex]C^{2}[/tex] - [tex]B^{2}[/tex] = [tex]A^{2}[/tex]
[tex]6.1^{2}[/tex] - [tex]1.1^{2}[/tex] = 36
[tex]\sqrt{36}[/tex] = 6
Please solve this problem if u are brainliest
Answer:
Step-by-step explanation:
2. 3x-1/3 = 5
+1/3 +1/3
___________-
3x= 5 1/3
÷3 ÷3
__________________
x=1.77777777778
5. 3x-9=5x-3
+3 +3
_____________-
3x-6=5x
-3x -3x
_______________-
-6=2x
÷2 ÷2
______________-
-3=x
8. 3x-2x=8 ( I crossed multiplied btw)
x=8
Hope this helps ∞<3
Heyy I need help with these two questions for math before he emails my mom saying i didnt do my work bc my brain isnt working properly rn
Answer:
4 pieces and B
Step-by-step explanation:
Answer: The answer to the first one is probably 8.
Step-by-step explanation:
I just read the problem and saw it as a division problem. I then divided 4/6 by 1/12. I ended up with 8, if this is wrong i'm incredibly sorry.
A cell phone plan costs 28.70$ per month for minutes of talk time. It costs an additional $0.05 per minute for each minute over 700 minutes. To get e-mail access, it costs 30% of the price for 700 minutes of talk time. Your bill, which includes e-mail, is the same each month for months. The total cost for all months is $326.48. Write and solve an equation to find the number of minutes of talk time you use each month.
Answer:
Total number of minutes= 6,483
Step-by-step explanation:
Giving the following information:
Fixed cost (700 minutes)= $28.7
E-mail= (28.7*0.3)= $8.61
Cost per minute (over 700)= $0.05
Total cost= $326.48
First, we establish the total cost formula:
Total cost= 28.7 + 8.61 + 0.05*x
x= number of minutes over 700
Now, we need to calculate the number of minutes over 700:
326.48= 28.7 + 8.61 + 0.05x
289.17=0.05x
5,783 = x
Total number of minutes= 700 + 5,783
Total number of minutes= 6,483
Thank you guys have been so helpful!
Tell me what your favorite color.
will give 50 points!
Torren deposits $4500 in an account earning 2% interest, compounded annually. The equation that represents this situation is
A(n)=4500(1+0.02)^n-1
How much will he have in the account at the beginning of year 8? Round your answer to the nearest dollar
A. $5169
B. $16,124
C. $32,130
D.$5272
Answer:
the answer is D
Step-by-step explanation:
hopes it helped^^
ill mark brainliest if correct so please help
Answer:
wait do we solve it or is there answer choices??
Simplify using distribution and combining like terms
7 (3x + 2y) – (13x – 3y)
Answer:
8x + 17y
Step-by-step explanation:
Hope this helps! Please mark as brainlest.
Thanks!
Please answer question... if it is good will give brainliest
^2 = SQUARED( to the second power)
Answer:
2. 2x times 2x equals 4x^2 since x times x equals x^2(and 2 times 2 equals 4. then positive i times negative i equals -i^2 which can transfer to be 1.
Step-by-step explanation:
2. 2x * 2x = 4x^2
+i * -i = -i^2
-i^2 can be transferred into positive 1.
i is a variable. if you divide -i^2 by -i, then that equals i, which is 1.
3. The same thing as 2.^
1 squared is 1. i squared is i^2. i^2 divided by i is i. i is 1. 1+1 is 2. Now put the 2 infront of the i to make 2i.
Let Me Know if anything went wrong :)
Read the image below please.
Answer:
30
Step-by-step explanation:
It is given that set W = { x, y, z).
What is the subset of set W?
Answer:
Please check the explanation.
Step-by-step explanation:
Given the set W = {x, y, z}
If there are n elements in a set, then are 2ⁿ subsets.
As there are 3 elements in a set, then are 2³ or 8 subsets.
so
W = {x, y, z} has 8 subsets.
They are:
∅, {x}, {y}, {x}, {x, y}, {x, z}, {y, z}, and {x, y, z}
Please note that any subset of the set W = {x, y, z} contains all the elements which are also the elements of the set W = {x, y, z}Miss Niger is an auto mechanic I live auto body shop in Spanaway they charge a diagnostic fee of $40 prior to working on cars in order to find the issues with their customers cars then she then charges $25 per hour to fix the cars let X represent the hours spent working on cars and Y represent the total cost of fixing the car select an equation that best represents the suit leisurI'll
Answer:
Its C I just did this
Step-by-step explanation
The ratio method can be used to find percentage
what is this answer? :)
Answer:
the answer is b
Step-by-step explanation:
Find the value of x.
17
14
desribe what the value of 3/7 as a decimals would look like.
10 points! Please help me Thanks! <3 :Elle wants to attend the Art Institute of Dallas, which costs about $12,000 per year. She has $2,500 saved and received a grant for $4,000. How much does she need to cover the remaining cost?
Answer:
5,500
Step-by-step explanation:
added 2,500 and 4,000 that equals 6,500 the remaining amoumt is 5500
Answer:
$4,500
Step-by-step explanation:
You basically add the 2 thousand five hundred and the 4 thousand and then the result of the two you then take it away from the 12 thousand.
eremy works two jobs. He makes $8/hr working at a deli and $12/hr working for a landscaper. Let x represent the number of hours he works at the deli, and let y represent the number of hours he works for the landscaper. What do the solutions of the inequality represent?
combinations of the hours he can work at the two jobs and earn at least $300
combinations of the hours he can work at the two jobs and earn at most $300
combinations of the hours he can work at the two jobs and earn less than $300
combinations of the hours he can work at the two jobs and earn more than $300
Answer:
A.) combinations of the hours he can work at the two jobs and earn at least $300
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Are these triangles congruent? If so, state why. Choose the correct answer.
Answer: C) The triangles are not congruent
======================================================
Explanation:
At first glance, they seem to be congruent. However, we simply don't have enough information to say yes or no.
Note how VT = VT by the reflexive theorem. This is the shared overlapping sides.
The tickmarks indicate WT = VU is another pair of congruent sides.
Finally, the red arcs indicate angles TWV and VUT are congruent.
We have two pairs of congruent sides and a pair of congruent angles; however, the angles are not between the congruent sides. Recall that SSA is not a valid congruence theorem. This is because SSA could lead to ambiguity.
So that's why we don't have enough info to say if they are congruent or not. That's why choice C is the best answer.
can anyone help me with maths please?
#surfacearea
Answer:
773 or 278.5 (if it only wants the sides the pic shows)
Step-by-step explanation:
13*5=65
65/2=32.5 (since it is a triangle you by 2)
12*9=108
108/2=54
15*20=300 (it is a square so you leave it)
you do it on the other sides that you can't see in the pic.
Add all the numbers together: 32.5+32.5+54+54+300+300 or 32.5(2)+56(2)+300(2)=773
Hope this helps!
t-6= -12
8
I NEED HELP ASAP
Answer:
Step-by-step explanation:
t
=
−
122