What is the length of the two equal sides?
What is the length of the third side?
Answers
Answer:
Two equal sides: 15 centimeters, Third side: 21 centimeters
Step-by-step explanation:
Sorry If I'm late, so how I solved this was by using variables and algebra. The perimeter of a triangle is the sum of all three sides. Let's now break down the problem and use the useful information, we know that the perimeter is 51 centimeters, and that there are two equal sides and the third side is 6 inches longer than the two equal sides. So it is pretty much an isosceles triangle since it has two sides of equal length and the third side is not equal to the others. So we can make an equation with variables. 51(Perimeter)=x(first equal side)+x(second equal side)+x(third side)+6(The third side is 6 centimeters longer than the two other sides), now we simplify the equation just like we do with most algebraic equations. x+x+x can be turned into 3x. This now makes the equation 51=3x+6, we can subtract 6 from both sides to just have the variable on one side, 3x+6-6, both sixes cross out making it 3x, 51-6 is equal to 45. Now we divide by three on both sides to give just x and find out what x is. 3x/3=x and 45/3=15. x=15, x is the equal side length, so the two equal sides are 15 centimeters and the third one is 21 centimeters. The reason for this is because 15+6=21. I hope this helped with your learning, if I am wrong please tell me :)
Related Questions
1. What is the volume of this composite figure?
i6m
16 m
10 m
4 m
5 m
Answers
Answer:
560
Step-by-step explanation:
16 times 5 times 4=320
6 times 16 divide 2 then multiple 5
Find the area of the Wrangle
The area of the triangle in square units 8 units 10 units
Answers
Answer:
The area is 40 units
Step-by-step explanation:
4/8 plus 2/4 find the common denomnator
Answers
Answer:
The common denominator is 4.
Step-by-step explanation:
4/8 simplified is 2/4.
Therefore, we can now add them together.
2/4 + 2/4 = 1.
Hope this helps:) Goodluck!
How many solution that following equation has? 2x +4= 2x-5 0 1 02 O infinitely many
Answers
Answer:
NO SOLUTIONStep-by-step explanation:
2x +4 = 2x - 5
4 + 5 = 2x - 2x
9 = 0
NO SOLUTION
A path in the park is 15 kilometers in. A trash bin is placed every 1/3 kilometers how many trash cans are along the path ?
Answers
Mrs. Smith gave two classes the same quiz. She randomly selected 5 students from each class to compare the classes. The scores of the five students are shown below. Class A: 80, 82, 74, 92, 94 Class B: 82, 80, 88, 86, 82
What are the mean and range for each class ?
Class A- mean = 84.4 range = 14
Class B - mean = 83.6. range = 8
Using the information found in the question above which class mrs smith report had the more consistent performance on the unit test ?, explain what this means in terms of the situation
Answers
The mean and range for class A are 84.4 and 20 while the mean and range for class B are 83.6 and 8. Class B is more consistant then class A.
How to calculate the mean?We can see from the data that the consistency of class B is more becuase the repeatation of the same score is more in class B then class A and the range of class B is also less then the class A.
It should be noted that mean simply means average. It's the addition of the numbers divided by the total numbers.
In this case, the computation will be:
Class A: Mean = 422/5= 84.4.
Range: 94-74 = 20
Class B: Mean = 418/5 = 83.6.
Range= 88-80 = 8
Learn more about mean on:
brainly.com/question/1136789
#SPJ1
Factor completely.
128-32x + 2x² =
Answers
Answer:
[tex]\mathrm {(x - 8)(x + 8)}[/tex]
had to be corrected. sorry for the inconvenience.
Answer:
(x - 8)(x + 8) will be your answer.
Step-by-step explanation:
Lets do this step by step.
1) Find the GCF of the expression.
2x^2 - 32x - 128 --> 2(x^2 - 16x - 64)
2) Use the X-method to factor.
It gives us the expression 2(x^2 - 8x)(-8x -64).
3) Factor for x.
(x^2 - 8x) --> x(x - 8)
(-8x - 64) --> -8(x + 8)
Our answer is (x - 8)(x + 8)
Find the product with the exponent in simplest
form. Then, identify the values of x and y.
X
1
3
6³.6
64 6
=
X ⇒7, y = 12/7
X ⇒12
x= 7/12
COMPLETE
7 , 12 are the answers
Answers
Answer:
x = 7
y = 12
Step-by-step explanation:
The key to solving this problem is understanding the properties of exponents:
If you are multiplying two powers with the same base (in this case the base is 6), the result is the base raised to the power of the two exponents added together.
6^1/3+1/4 = 6^x/y
6^7/12 = 6^x/y
So the product would be 6^7/12
Therefore, the answers are:
x = 7
y = 12
i need help finding the orignal price
Answers
This table represents a proportional relationship between x and y.
x 1.3 1.6 1.9 2.2
y 1.82 2.24 2.66 3.08
What is the constant of proportionality?
Enter your answer as a decimal in the box.
ill give brainliest this is for k12
Answers
The table is an illustration of a linear table, and the constant of proportionality is 1.4
How to determine the constant of proportionality?The table is given as:
x 1.3 1.6 1.9 2.2
y 1.82 2.24 2.66 3.08
The constant of proportionality (k) is calculated using:
k = y/x
Using the values on the table, we have:
k = 1.82/1.3
Divide
k = 1.4
Hence, the constant of proportionality is 1.4
Read more about constant of proportionality at:
https://brainly.com/question/1835116
#SPJ1
solving system of equations by graphing.
Answers
Answer:
see attached image
Step-by-step explanation:
a line passes through the point (-9,1) and has a slope of 4/3. Write an equation in slope-intercept form for this line.
Answers
Answer: y=4/3x+1
Step-by-step explanation:
The formula is Y=mx+b
b is the y-intercept and MX is slope
If the diameter of the circle is 14 units, calculate its area: then calculate its circumference
Answers
Answer:
Area: 153.86
Circumference: 43.96
If you reflect point B(- 2, 5) over the y- axis, what is the reflected point ?
Answers
Answer:
(2,5)
Step-by-step explanation:
Since it is reflected across the y-axis only the x point will change and vise-versa
A pedestrian walks 7.4 kilometers west
and then 9.2 kilometers south.
What is the magnitude of the
pedestrian's resultant vector?
Hint: Draw a vector diagram.
[ ? ] kilometers
Round your answer to the nearest tenth.
Answers
Answer: 11.8 km
Step-by-step explanation:
The resulting figure is a right angled triangle shown below
[tex]$$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$$[/tex]
A lawn sprinkler sprays water 12 feet in every direction as it rotates. What is the area of the sprinkled lawn?
Answers
Area=(pi) * r^2
=(pi) * 12^2
= (pi) * 144
=452.389 feet squared
Which one geos first to last 3/4 or 1/3 or 5/8
Answers
HELP PLEASE 100 POINTS!!!
Given that triangle PHT is a right triangle and Line HY is an altitude, what is the missing justification in the proof that (PH)^2 + (HT)^2 = (PT)^2?
Answers
Step-by-step explanation:
Given information: Triangle PHT is a right
triangle and Line HY is an altitude.
According to the reflexive property, a side or
an angle is congruent to itself.
If A is an angle of a triangle then using
reflexive property
LAN LA
¿PIT ~ LYT
(Both are right angles)
IT ~ LT
(Reflexive property)
APHT~ AHYT
(AA rule of similarity)
Other statements and reasons are present in
the table.
The missing reason is reflexive property.
Therefore the correct option is D.
The missing reason is reflexive property.
Therefore, the correct option is D.
What is a triangle?A triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle.
Given that a triangle PHT is a right triangle and Line HY is an altitude.
According to the reflexive property, a side or an angle is congruent to itself.
If A is an angle of a triangle, then using reflexive property.
∠A ≅ ∠A
∠PHT ≅ ∠HYT (Both are right angles)
∠T ≅ ∠T (Reflexive property)
ΔPHT ~ ΔHYT (AA rule of similarity)
Other statements and reasons are already in the table.
Hence the correct option is D.
Learn more about triangles click;
https://brainly.com/question/29083884
#SPJ2
Fred figured out the volume of the glass is 141.37cm. Show work
Answers
To solve this problem, we have to calculate the volume of a hemisphere and the volume of a cylinder and add them together. The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.
Volume of a HemisphereThe volume of a hemisphere is given as
[tex]v = \frac{2}{3} * \pi * r^3[/tex]
Data
r = 3cmLet's substitute the values into the equation and solve.
[tex]v = \frac{2}{3} * \pi * r^3\\v = 56.556cm^3\\[/tex]
Volume of a CylinderThe formula of volume of a cylinder is
[tex]v = \pi r^2 h[/tex]
data given
h = 3cmr = 3cmLet's substitute the values into the equation and solve
[tex]v = \pi r^2 h\\v = 3.142 * 3^2 * 3\\v = 84.834cm^3[/tex]
Let's add both volumes together so we have the volume of the glass cup
[tex]56.556 + 84.834 = 141.39cm^3[/tex]
The volume of the glass can be only be calculated when we find the volume of the hemisphere and the volume of the cylinder and then add then up together.
Learn more on volume of hemisphere, cylinder here;
https://brainly.com/question/9280450
#SPJ1
How many days would it take to breathe one billion times if you were
breathing at a rate of 12 times per minute?
Answers
Answer:
I think it would be 1,000,000.
Step-by-step explanation:
Let's begin with a correction: the verb in question is TO BREATHE; one instance of doing so is the noun BREATH.
12 times per minute; 60 minutes per hour; 24 hours per day; multiplying all of these gives some number of breaths per day. I'm going to call it B (you can calculate it).
Answer:
Step-by-step explanation:
12 / min
720 / hr
17,280 / day
6,307,200 / yr
Now divide 1,000,000,000 by 6,307,200 and you get 158 years
What comes next in this pattern? 7/2, 6/3, 5/4, ... 4/9 4/7 4/5
Answers
Answer:4/3
4/3
Step-by-step explanation:
Enter the number that belongs in the green box.
Answers
Answer:
The answer is x = 10.
Step-by-step explanation:
Two options:
1. Looking at the image it looks like a parallelogram. So, most side lengths are equal to each other or are the same.
2. We can use the Pythagorean Theorem to solve for x.
Select the correct answer.
What is the range of this absolute value function?
y
-10
-10.
-8
9
N-
N
A
-6
-8
-10
10
Answers
Solve this fraction, thanks!
[tex] \frac{10}{5} + \frac{ - 12}{5} [/tex]
Answers
Answer:
-2/5
Step-by-step explanation:
I actually didn't see the negative sign sorry and thanks for correcting my mistake!!!
Answer:
-2/5
Step-by-step explanation:
+ × - = -
10/5-12/5
apply the fraction rule a/c-b/c =a-b/c
10-12/5
substract 10-12 =-2
-2/5
(x+3)^2+4=46
what is the solution of this equation
Answers
Answer:
x = -3 + √42
Step-by-step explanation:
1) Expand the square
2) Distribute
3) Distribute
4) Distribute
5) Combine like terms
6) Add the numbers
7) Move terms to the left side
8) Subtract the numbers
9) Use the quadratic formula
10) Simplify
11) Separate the equations
12) Solve
Therefore, the solution of this equation is x = -3 + √42
Step-by-step explanation:
(x + 3)² + 4 = 46
(x + 3)² = 42
x + 3 = ±sqrt(42)
x = ±sqrt(42) - 3
x1 = sqrt(42) - 3 = 3.480740698...
x2 = -sqrt(42) - 3 = -9.480740698...
Martin has a piece of purple yarn that is 3 1/2 inches long he has a piece of yellow yarn that is 3 5/6 inches Long how much longer is the yellow yarn?
Answers
Answer:
2 1/3 longer
Step-by-step explanation:
yw ;)
Answer:
⅓
Step-by-step explanation:
Expression : 3 ⅚ - 3 ½
3 ½ would become 3 3/6.
3 ⅚ - 3 3/6 = 2/6 = 1/3
Convert -4x+2y=16 to slope intercept form simplify your answer
Answers
[tex]\text{Slope-intercept form is y=mx+c, where m is the slope and c is the y-intercept.}\\ \\~~~~~-4x+2y = 16\\\\\implies 2y = 16+4x\\\\\implies y = \dfrac 12(16+4x)\\\\\implies y = 8 + 2x\\\\\implies y=2x +8\\\\\text{It is now in the slope-intercept form.}[/tex]
amusement on a particularly boring transatlanfic fight one of the authors am used himseft by counting the heads of the people in the seats in front of him. He noticed that all 37 of them either had black hair or had a whole row to themselves or both. Of this total 33 had black hair and 6 were fortunate enough to have a whole row of seats to themselves. How many black haired people had whole rows to themselves?
Answers
Choose ALL the numbers that round down when rounding to the nearest hundred! Is it!: 47,035, 3,140, 76,654, 1,298, 607,882, 8,560?
Answers
Answer:
The answer is:
the first one
second one
:D
Step-by-step explanation:
in this case, any number in the tens place less than five will make the number round down
Bob walks dogs after school. He charges $43. 50 for 6 hours and $65.25.75 for 9 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Bob works
and y represent the amount he charges.
Answers
The equation of the amount charged by Bob will be y = 7.25x.
What is an equation?
The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given that:-
Bob walks dogs after school. He charges $43. 50 for 6 hours and $65.25.75 for 9 hours.The equation will be generated as follow:-
6 hours = $ 43.50
1 hours = $ 7.25
9 hours = $ 65.2575
1 hours = $ 7.25
Let x represent the number of hours Bob works and y represent the amount he charges. The equation will be:-
y = 7.25x dollars.
Therefore the equation of the amount charged by Bob will be y = 7.25x.
To know more about equations follow
https://brainly.com/question/2972832
#SPJ1
