Answer:
Step-by-step explanation:
In an isosceles triangle, the base angles are equal. This also means that two sides of the triangle are equal in length. Since the sum of the angles in a triangle is 180 degrees, it means that the third angle of the given triangle is
180 - (80 + 50) = 50 degrees
Therefore, the base angles of the isosceles triangle are 50 degrees each. For more triangles with these conditions to be drawn, only the lengths of the equal sides can be increased or decreased. This would in turn increase the length of the third side. Therefore, isosceles triangles of the same angles but different sizes can be drawn.
The center of your park has a pool. The pool is the shape of a rectangular prism. The volume of the pool is 189 cubic feet. If the length of the pool is 7 yards and the width is 3 yards, how deep is the pool? (Hint: 3 feet = 1 yard)
Answer:
3 yards
Step-by-step explanation:
First, let's convert yards into feet. 189 feet is 63 yards.
Volume=L•W•H L=length W=width H=height
To do this we have to divide the volume by the product of the length and width and it will calculate the height.
Solving for the width:
63÷(7•3)=3 yards <-the depth of the pool
Answer:
3 yards
Step-by-step explanation:
In a 30-60-90 triangle the long leg is half the hypotenuse.
always
sometimes
never
Answer: Never
Step-by-step explanation: Let me know if you need an explanation.
y=x^{2} +2x-8 determine the axis of symmetry, the vertex point and find the roots by factoring
Answer:
x = -1 <--- axis of symmetry
(-1, -9) <-- vertex
2, -4 (or, in my old precalc class we wrote our roots as (2,0) and (-4,0)) <--- roots
Step-by-step explanation:
a) Axis of symmetry equation is defined as
[tex]-b/2a[/tex] = x (i memorized this)
Quadratic equation form:
[tex]ax^2+bx+c[/tex]
And our original equation:
[tex]x^2+2x-8[/tex]
So..
[tex]-2/2 = - 1[/tex]
So our axis of symmetry is at x = -1,
b) now vertex point can be found by plugging this value back into our original equation.
y = [tex](-1)^2+2(-1)-8[/tex]
y = 1 - 2 - 8
y = - 9
So our vertex is at (-1, -9)
c) Finally, lets factor
[tex]x^2+2x-8[/tex] = 0 (when finding the roots, set y = 0, because we are trying to find where we cross the x-axis)
[tex]x^2-2x+4x-8[/tex] = 0
[tex]x(x-2) + 4(x-2) = 0[/tex]
[tex](x-2)(x+4)=0[/tex]
x = 2; x = -4 <--- Roots
Each iron atom has a mass of about 9 x 1023 grams. Even a small grain of iron has an incredible number of atoms in. it--about 1 x 1018 atoms in one grain. Which of these is most similar to the number of atoms in a grain of iron?
Answer:
A- the number of people in a large stadium; about 1x10 ^5
Step-by-step explanation:
Formula for Fahrenhelt temperature F=32+ 9/5C For C
Answer:
[tex]C=\dfrac{5}{9}(F-32)[/tex].
Step-by-step explanation:
The formula for Fahrenheit temperature is
[tex]F=32+\dfrac{9}{5}C[/tex]
We need to write this formula for C.
Subtract 32 from both sides.
[tex]F-32=\dfrac{9}{5}C[/tex]
Multiply both sides by 5.
[tex]5(F-32)=9C[/tex]
Divide both sides by 9.
[tex]\dfrac{5}{9}(F-32)=C[/tex]
Therefore, the required formula is [tex]C=\dfrac{5}{9}(F-32)[/tex].
Susie purchases a $13,000 car and plans to repay the loan by making monthly payments over the course of five years. The interest rate is 2.1%. Compute Susie's monthly payments using the amortization formula.
a) $228.43
b) $383.09
c) $479.72
d) $518.25
If a rectangle has a permeter of 72 yards and it’s width is 9 yards what is the length of the missing length
Answer:
27
Step-by-step explanation:
The perimeter is 2x + 2y
Say x = 9
18 + 2y = 72
2y = 54
y = 27
Answer:
The length would be 27 yards
Step-by-step explanation:
The perimeter formula is l+l+w+w.
1.) A school wants to have a metal gate placed around it. However they only want to cover three sides of the school and they only have 2000 feet of gate. What are the dimensions of the school if the area is 240,000 square feet?
2.) A backyard is in the shape of a rectangle. The distance around the yard is 280 feet and it has an area of 2,400 square feet. What are the dimensions of the yard?
Answer:
I only have an answer to number 2 but the dimensions are 20 and 120.
Step-by-step explanation:
well you can remove the zeroes and factor either the 28 or 24. (I think 24 is the best) so when you factor it you get 2 and 12 because 2 x 12 is 24 and 2 + 2 + 12 + 12 is 28. Then add the zeroes and you have your dimensions. I hope that explanation helped with number 2.
Which number is equal to 7/10
Answer:14/20
Step-by-step explanation:
Select the equation that most accurately depicts the word problem.
5 pounds of potatoes at n dollars per pound costs $4.85.
Answer:
$4.85n = $24.52 where n = 5
If this doesnt match any of the equations, see if you can add the answer choices to your question
will mark bianleast
A point's coordinates are changed from (–7, –2) to (7, –2). What impact does this have on the location of the point?
The location of the point remains the same.
It is reflected over the y-axis.
The location of the point is shifted to the left.
It is reflected over the x-axis.
Answer: The answer would be "It is reflected over the x-axis"
Step-by-step explanation: The location wouldn't remain the same because the 7 is now a positive #. The y-axis hasn't changed. It's still the same -2. The location of the point would move, but it wouldn't move the the left. It would move to the right, because the negative numbers on the x-axis are on the left hand side, while the positive numbers are on the right hand side
Answer:When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
Step-by-step explanation:
A rectangular flower garden in Samantha’s backyard has 260 feet around its edge the with garden is 60 What is the length of the garden
Answer:
70 ft
Step-by-step explanation:
260 feet around its edge means perimeter
P = 2(l+w)
Width = 60
260 = 2( l+60)
Divide each side by 2
260/2 = 2/2(l+60)
130 = l+60
Subtract 60 from each side
130-60 = l+60-60
70 = l
The length is 70 ft
Martin deposits $700 into a savings account that gains interest at a rate of 5.5% annually. If he waits 7 years to withdraw the money, will he have earned more or less money than $275 and by how much?
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Use the multiplier 1.055
final = original x multiplier^n
where 'n' is the number of years
Sub the values in
final = 700 x 1.055^7
final = 1018.27
Subtract the values:
1018.27 - 700 = 318.27
Thus, he earns more than $275
He earns $43.27 more
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
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Which parent function is represented by the table?
1
0
0.
1
1
4
N
O A. f(x) = [X1
O B. f(x) = x
O c. f(x) = 2x
O D. Ax) = x2
Answer:
D
Step-by-step explanation:
the vertex is (0,0) , the axis of symmetry is x=0
The parent function represented by the table is f ( x ) = x²
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is given from the table of values as
Let the x values of the function be x = { -2 , -1 , 0 , 1 , 2 }
Now , the y values of the function is y = { 4 , 1 , 0 , 1 , 4 }
So , the function is a quadratic rule of the form .
y = x²
On simplifying , we get
f ( x ) = x² be equation (1)
Therefore , the value of A is f ( x ) = x²
Hence , the function is f ( x ) = x²
To learn more about function rule click :
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(1+x)^6 expanded form
Answer:
Step-by-step explanation:
(1+x)^6 = (1+3)^3 x (1+3)^3
(1+3x+ 3x^2+x^3) x (1+3x+ 3x^2+x^3)
1+ 6x+15x^2+20x^3+15x^4+6x^5+x^6
plssss helpppp againnnn
Answer:
x = 34°
Step-by-step explanation:
To solve for 'x', we will need to use the Supplementary Angles theorem. This states that on a line, all angles must add up to 180°.
We can set up a simple algebraic equation to solve for 'x':
180 = x + 12 + 100 + x
180 = 112 + 2x **Combine like terms
68 = 2x **Divide both sides by '2'
x = 34°.
Therefore, the measure of ∠x = 34°.
Answer: x= 34
Step-by-step explanation:
x + 12 + 100 +x = 180 use the equation and combine like terms
2x + 112 = 180 subtract 112 from both sides
-112 -112
2x = 68 Divide both sides by 2
x = 34
Check: 34 + 12 +100 + 34 = 180
180 = 180
PLS CAN SOMEONE HELP PLS WILL GIVE BRAINLIEST
THE FIRST TWO PICTURES ARE NUMBER ONE AND THE THIRD ONE IS FOR QUESTION 2
2. Use the diagram below to find x
Answer:
78 degrees
Step-by-step explanation:
x=108-30 PWP (Part Whole Postulate)
x=78 Solve
Answer:
See solution ( s ) below;
Step-by-step explanation:
1 . Consider the first attachment;
[tex]m< ( unknown ) = 30 degrees, - Given\\m< ( unknown ) = 108 degrees - Given,\\\\\\m< ( unknown ) + x = m< ( unknown ) - By Partition Postulate,\\30 + x = 108, - Through Algebra,\\Conclusion ; ( x = 78 degrees )[/tex]
Solution ; x = 78°
From a horizontal position, in reality we could only bed our knee to a maximum of a little less than 180 degrees. However, let's consider the max Randi can bend her leg as 180° ;
[tex]By Partition Postulate - 108 + x = 180,\\if x - degrees Randi Can Bend more,\\108 + x = 180,\\\\Conclusion ; ( x = 72 degrees )[/tex]
Solution ; Randi can bed her knee 72° further
3 . Consider 3x and 8x + 15 to be a linear pair,
[tex]3x + ( 8x + 15 ) = 180 - Linear Pair,\\\\3x + 8x + 15 = 180,\\11x + 15 = 180,\\11x = 165,\\Conclusion ; ( x = 15degrees)[/tex]
Solution ; x = 15°
Identify a pair of perpendicular lines in the given figure. answers: s and t p and q q and t p and t
Answer:
s and t are perpendicular
Step-by-step explanation:
they intersect at a 90 degree angle, which is marked by the little square at the point where they intersect.
please help as soon as possible
I WILL MARK YOU AS BRAINLIEST
Answer:
The answer is c
Step-by-step explanation:
Because she has two more nickles than dimes so the variable has to be c and the two more refers to (c+2)
If cos A=28/53 and sin B=60/61 what is the value of sin(A-B)
Answer:
0.358
Step-by-step explanation:
cos A=28/53 = 58.11
sin B=60/61 = 79.61
sin(79.11 - 58.11) = sin 21 = 0.358
[tex]$\text{PLZ HELP ASAP}$[/tex]
A debate team consists of five girls and four boys. (Everyone is distinguishable.) How many ways can they stand in line, so that at least two of the girls are standing next to each other? BTW the answer is not 17.
Answer: 9!-2880 = 360000.
Step-by-step explanation:
Simplify 7N - 2N + 3P + 2P.
5N + 5P
10N + 10P
10NP
Answer:
5n+5p
Step-by-step explanation:
7n-2n+3p+2p
5n+5p (combine like terms)
the answer is 5n+5p
Here are the diameters of four coins: penny (1.9 cm), nickel(2.1cm), dime (1.8cm), quarter (2.4cm). A coin rolled about 33 cm in 5 rotations. Which coin is it? Use 3.14 for pi
Answer: Nickel
Step-by-step explanation:
Hi, to answer this we have to calculate the circumference of each coin:
C =π diameter.
Penny = 3.14 (1.9)= =5.96 cm
Nickel = 3.14 (2.1) =6.6 cm
Dime = 3.14 (1.8) =5.62 cm
Quarter = 3.14 (2.4) =7.53 cm
Since the coin rolled about 33cm in 5 rotations, it means that the circumference of the coin (x) multiplied by 5 is equal to the distance rolled.
5x=33
x =33/5 =6.6 cm
The coin is the nickel, because its circumference is equal to 6.6 cm.
what is the answer: -4 - 2
First change -4 - 2 to -4 + -2.
Now we can use our number line to
help us visualize what's going on.
Starting at 0, -4 moves us 4 units to the left along our number line.
From there, another -2 moves us 2 more units to
the left along the number line and we end up at -6.
So -4 + -2 simplifies to -6.
Work shown below.
Combine like terms in the expression -5x + 2y + 5x – 8y.
A. 10x – 6y
B. -10x + 6y
o c." by
D. -10% – 10y
Answer:
-6y
Step-by-step explanation:
the -5x and 5x cancel each other out, then the 2y and -8y become -6y.
Answer:
-5x + 2y + 5x - 8y = -6yStep-by-step explanation:
Like terms are terms whose variables (and their exponents) are the same.
[tex]-5x+2y+5x-8y[/tex]
We have the terms:
[tex]-5x;\ 2y;\ 5x;\ -8y[/tex]
Like terms:
[tex]-5x\ \text{and}\ 5x,\ 2y\ \text{and}\ -8y[/tex]
Combine like terms:
[tex](-5x+5x)+(2y-8y)=0x+(-6y)=-6y[/tex]
The midpoint of \overline{\text{AB}}AB is M(-2, 1)M(−2,1). If the coordinates of AA are (1, -2)(1,−2), what are the coordinates of BB?
Answer:
B=(-5, 4)
The coordinates of BB are (-5, 4)(-5,4)
Step-by-step explanation:
To solve, we will follow the steps below;
mid point = m(-2,1)
coordinates A is (1,-2)
To find the coordinates B
We will use the formula
([tex]x_{m}[/tex],[tex]y_{m}[/tex]) = ([tex]x_{1}[/tex] + [tex]x_{2}[/tex] /2 , [tex]y_{1}[/tex] +[tex]y_{2}[/tex]/2)
from the question
([tex]x_{m}[/tex],[tex]y_{m}[/tex]) = (-2,1)
this implies
[tex]x_{m}[/tex] = -2 [tex]y_{m}[/tex] = 1
Also
A([tex]x_{1}[/tex] , [tex]y_{1}[/tex]) B( [tex]x_{2}[/tex] ,[tex]y_{2}[/tex])
A(1, -2) B( [tex]x_{2}[/tex] ,[tex]y_{2}[/tex])
[tex]x_{1}[/tex]= 1 [tex]y_{1}[/tex] =-2
we are to look for [tex]x_{2}[/tex] and [tex]y_{2}[/tex]
[tex]x_{m}[/tex] = [tex]x_{1}[/tex] + [tex]x_{2}[/tex] /2
-2 = 1 + [tex]x_{2}[/tex] /2
multiply both-side by 2
-4 = 1+ [tex]x_{2}[/tex]
subtract 1 from both-side of the equation
-4-1 =[tex]x_{2}[/tex]
-5 = [tex]x_{2}[/tex]
[tex]x_{2}[/tex] = -5
Similarly,
[tex]y_{m}[/tex] = [tex]y_{1}[/tex] +[tex]y_{2}[/tex]/2
1 = -2+[tex]y_{2}[/tex]/2
multiply both-side of the equation by 2
2 = -2 +[tex]y_{2}[/tex]
add 2 to both-side of the equation
2+2 = -2+ 2 +[tex]y_{2}[/tex]
4=[tex]y_{2}[/tex]
[tex]y_{2}[/tex] = 4
The coordinates of BB are (-5, 4)(-5,4)
From Delta Math (-2,-7)
please answer !!!!!!
Answer:
increasing
Step-by-step explanation:
Since the line goes up from left to right, the graph is increasing
Answer:
Increasing ; Option C
Step-by-step explanation:
We can tell that this graph does increase, but let us prove so, through slope;
[tex]If Slope - Positive, - Graph Increases,\\If Slope - Negative - Graph Decreases,\\If Slope = 0 - Constant,\\\\Slope of Line = 3 / 1 = 3, ( Positive ),\\Conclusion ; Graph - Increasing[/tex]
Solution ; Increasing
Which angles are right?
ND
dohet
А
M
Check all that apply.
A. KLJ
IN B. EFH
1 C. AGFE
D. ZMLK
Answer:
A, B and D
Step-by-step explanation:
Answer:
A , B , D
Step-by-step explanation:
You can clearly see that those angles have a square between them , thus they are right angkes
Which expression has exactly three terms? Select all the expressions that apply.
A. 3x
B. y^3
C. xyz
D. x+y+1
E. x+y+z
F. y^3−2y^2+y−1
G. 4x^3+10x^4−7x
H. ( x+1)( y−2 )( z+5 )
The answer is expressions D, E, and G.
In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.
Options A and B only have 1 term, an x or y³, so these are incorrect.
Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.
D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.
G has 3 unique terms, x³, x^4, and 7x, so this is correct.
When H is expanded, you will end up with more than 3 unique terms, so this is incorrect.
I hope this helps!
Answer:
answers are x+y+1, x+y+z ,4x^3+10x^4-7x , ( x+1)( y-2 )(z+5 )
Abigail can read 180 words in one minute if she were to read 30 minutes each day how many days would it take to read 32,400 words of a book
Answer:
It would take Abigail six days to read 32,400 words of a book if she were to read 30 minutes per day.
Step-by-step explanation:
If Abigail reads 180 words per minute, and she reads 30 minutes per day, we need to multiply 180 by 30 to figure out how many words she reads per day.
180 × 30 = 5,400
Abigail reads 5,400 words per day.
Then, we divide 32,400 by 5,400 to figure out how many days it would take Abigail to read 32,400 words.
32,400 ÷ 5,400 = 6
It would take Abigail six days to read 32,400 days.
Hope that helped!
