The additional of a triangle's degree measure will always equal 180˚
When the question asks you if a triangle with 112˚, 57˚, and 11˚, you have to add them up and make sure they equal to 180˚
In this case, 112˚ + 57˚ + 11˚ DO add up to 180˚, and is indeed a triangle.
Write an equation of the parabola in intercept form (3, 4) (4,0) (2,0)
An equation of the parabola is y=?
The equation of the parabola is gotten as;
y = -4x² + 24x - 32
We are given the coordinates of a parabola to be;
(3, 4) ; (4,0) ; (2,0)
The general form of equation of a parabola is given by;
y = ax² + bx + c
Let's plug in the x and y coordinates as given to us from the question.
For coordinate (3, 4), the equation is;(3²)a + 3b + c = 4
9a + 3b + c = 4 ----(eq 1)
For coordinate (4, 0), the equation is;(4²)a + 4b + c = 0
16a + 4b + c = 0 ----(eq 2)
For coordinate (2, 0), the equation is;(2²)a + 2b + c = 0
4a + 2b + c = 0 ----(eq 3)
Solving the 3 equations using an online simultaneous equation solver tool, we have; a = -4; b = 24; c = -32Plugging these values of a, b and c into the general equation of parabola gives us;y = -4x² + 24x - 32
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1.Azad has $500 and wants to go on a holiday, but does not have sufficient money. He decides to save $40 per week for a number of weeks to make up the deficit.
How much will he have saved at the end of the 5th week? Explain your answer.
2.A baker has 400kg of flour on the first day of the month and uses no flour that day. How much will he have at closing time on the 17th day of the month, if he uses 24 kg each day after that?
1. At the end of the 5th week he would have saved a total of $700
2. The amount of flour he would have at the closing time on 17th of the month will be 16kg
1.
Azad amount = $500
He wants to go on a holiday but he lacks sufficient money. This means the $500 in his possession is not enough.
He decided to save $40 dollars per week for a number of weeks to make up the deposits.
let
w = number of weeks
Therefore, his saving for any number of weeks will be
40wThe amount he would have saved for 5 weeks will be
40×5=$200
The total amount in his possession at the end of the fifth week will be 200 + 500 = $700
2.
The baker has 400 kg of flour. The first day of the month he didn't use any flour. This means on the first day of that month the flour was still 400 kg. The amount he has on the 17th day of the month can be calculated below.
The 17th day simply implies he used the flour for 16 days, the first day of the month he didn't use anything. He uses 24 kg for each day. Therefore the amount he uses for 16 days will be
16×24=384 kgThe amount he has at the closing time of 17 days of the month will be
400kg - 384kg = 16kgCheck here for similar algebra problems: https://brainly.com/question/22779754?referrer=searchResults
someone pkease help me ;-;
What is the length of DE
A. 18
B. 12
C. 10
D. 22
Answer:
the length of DE is A) 18
Step-by-step explanation:
these triangles are similar so you need to create a proportion!
since sides DF and FE are the same, it means that AC and CB are the same!
now we have to find the hypotenuse for DE, which is X
- set up a proportion!
side AC/side AB = side DF/side DE ----> 15/27 = 10/x
- butterfly multiply to get 15x = 270
- divide both sides by 15 to isolate x
now you get --------> x = 18!
comment or message me if you are still confused or have a question!
PLEASE HELP!!! WORTH 20 POINTS!
For each pair of points, find the slope of the line that passes through both points. If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler. Use fractions, not decimals, and make sure to simplify all fractions.
Answer:
a. 1 1/2 (or 3/2)
b. 2/3
c. 1
d. 1
Step-by-step explanation:
Part A: (1,1) (7,5)
To determine the slope, you will use the equation m=(y2-y1)/(x2-x1). Keep in mind that it doesn't matter what point you use for (x1, y1) or (x2, y2).
Let's plug in the numbers for part a:
m=(7-1)/(5-1)
Let's then solve the problems inside the parentheses:
m=6/4
And finally, we simplify:
m=3/2 (or 1 1/2 depending on what your teacher wants for an answer)
For these others, I will just go through the steps and not explain them, if you need help or don't understand something I'm doing, either look back at what I did for part a or comment on this answer.
Part B: (1,1) (5,7)
m=(5-1)/(7-1)
m=(4/6)
m=2/3
Part C: (2,5) (-1,2)
m=(-1-2)/(2-5)
m=(-3/-3)
m=1
Part D: (2,5) (-7,-4)
m=(-7-2)/(-4-5)
m=(-9/-9)
m=1
Can someone help me with this pls?
Please no links will mark brainiest for compleat answer.
question is in pic below
Answer:
A = 16[tex]x^{10}[/tex]
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the side length )
Here s = 4[tex]x^{5}[/tex] , then
A = [tex](4x^5)^{2}[/tex]
= 4 × 4 × [tex]x^{5}[/tex] × [tex]x^{5}[/tex]
= 16 × [tex]x^{(5+5)}[/tex]
= 16[tex]x^{10}[/tex]
The curve above the graph of a sinusoidal function. It goes through the points (-11,0) and (3,0). Find a sinusoidal function that matches the given graph.if needed you can enter pi=3.1416… as pi in your answer otherwise use at least 3 decimal digits.
F(x)=
Considering the zeros, the graph for the sinusoidal function is:
[tex]F(x) = \sin{\frac{\pi}{7}(x-3)}[/tex]
The zeros given for the function are: [tex]x = -11, x = 3[/tex].For practicality, we are going to define a sine function, which has a zero at x = 0, so we use shifting.The sine function is given by:
[tex]F(x) = A\sin{Bx}[/tex]
In which:
The amplitude is A.The period is [tex]T = \frac{2\pi}{B}[/tex].In this problem:
We suppose an amplitude of 1, thus [tex]A = 1[/tex].The difference between the zeros is 14, so we use a period of 14, thus [tex]T = 14[/tex], and:[tex]\frac{2\pi}{B} = 14[/tex]
[tex]B = \frac{2\pi}{14}[/tex]
[tex]B = \frac{\pi}{7}[/tex]
Thus:
[tex]F(x) = \sin{\frac{\pi}{7}x}[/tex]
Like this, the zeros are at [tex]x = -14[/tex] and [tex]x = 0[/tex]. We want it at [tex]x = -11, x = 3[/tex], thus, we shift the function 3 units to the right, that is, the function is:
[tex]F(x) = \sin{\frac{\pi}{7}(x-3)}[/tex]
The graph is sketched at the end of this answer, and has the desired behavior, which are points (-11,0) and (3,0).
A similar problem is given at https://brainly.com/question/22136310
what is the square foot area of a room with length of 10 3/4 feet and width of 8 1/2 ft
Answer:
95 1/8 square feet
Step-by-step explanation:
10 3/4 *8 1/2 = 43/4*17/2=430+301/8=761/8=95 1/8
You have a rectangular prism as shown below. Its height is 7 cm, its width is 4 cm, the length is 3 cm. How would we calculate this volume?
9514 1404 393
Answer:
84 cm³
Step-by-step explanation:
There are formulas for the volumes of simple geometric solids: prism, cylinder, pyramid, cone, frustum of a pyramid or cone.
The formula for the volume of a rectangular prism is ...
V = LWH . . . . . product of Length, Width, and Height
Put the numbers in place of the corresponding variables and do the arithmetic.
V = (3 cm)(4 cm)(7 cm) = 84 cm³
The volume of this rectangular prism is 84 cubic centimeters.
given a∥b and m∠ 8=121° . What is m∠ 5 ?
Answer:
75.625
Step-by-step explanation:
Answer:
91
Step-by-step explanation:
I need help pls tyvm :)
Answer:
16. C
17. B
Step-by-step explanation:
All you have to do is plug in the numbers into the pythagorean theorem. The Pythagorean Theorem is: [tex]a^2+b^2=c^2[/tex] Now I encourage you to try these problems out for yourself and see why they're correct. Doing these will help you solve other propblems like this. Remember the hypotenuse is alays the longest side. ;)
if a= 2, b= -3 and c= 4 evaluate ab-bc
Answer:
ab - bc = 6
Step-by-step explanation:
COMPUTATION:
ab - bc = ?
(2 x -3) - (-3 x 4) = ?
(-6) - (-3 x 4) = ?
(-6) - (-12) = ?
-6 + 12 = 6
Hope this helps!
4.5 x 1.2 = 5.4 but I need to show my work and I suck at it
Answer:
Bro simply multiply 45 by 12 and than put decimal in your answer after tenths place
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Could someone please help me with this triangle proof?
It's a level 3 proof on Delta Math.
Answer:
DA?
Step-by-step explanation:
I'm not the brightest I'm sorry but i think it might be D A something..
Proved that the [tex]$$ \angle C A B \cong \angle D B A \text $$[/tex]
What are similar triangle ?Similar triangles have the same form but differ in size. Similar items include all equilateral triangles and squares of any side length. In other words, if two triangles are comparable, their corresponding angles and sides are in proportion.
What is Basic Proportionality TheoremThe intercept theorem, also known as Thales' theorem, fundamental proportionality theorem, or side splitter theorem, is a basic geometry theorem that describes the ratios of various line segments formed when two intersecting lines are intercepted by a pair of parallels.
Learn more about the basic proportionality theorem at
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How much will it cost to fill a
13-gallon gas tank at $2.30 per gallon?
Answer:
$29.90
Step-by-step explanation:
Just multiply gallons by price:
13 gallons x [tex]\frac{2.30 dollars}{1 gallon}[/tex] = 29.9
(cos2x-1). sin 3x = 0
please give Brainly points!!
how do I write
[tex] \frac{7}{8} [/tex]
as a mixed number decimal?
Answer:
0.875
By dividing them
Hope it helps
Answer:
0.875
Step-by-step explanation:
[tex]\frac{7}{8} \times \frac{125}{125} =\frac{875}{1000} =0.875[/tex]
When multiplied, what is the simplified form of (6 − 2i)(4 − 3i)? Write the answer in standard form, a + bi, where a and b are real numbers. 10 − 5i 30 − 26i 2 − 6i 18 − 26i
Answer:
18-26i
Step-by-step explanation:
hope this helps :)
The value of y is directly proportional to the value of x.
If y = 10 when x = 5, what is the value of the following.
a) find the value of y when x is equal to 4.
b) find the value of x when y is equal to 6
Answer:
a) find the value of y when x is equal to 4.
Step-by-step explanation:
Answer:
a) the value of y will be x=5 - 4= 1
therefore y=1
b) the value of x will be y= 10 - 6= 4
therefore x=4
Graph the image of the given triangle after a rotation of 180° about the origin
Answer:
The bottom point is at (-1, 1) the right point is at (6,-2) and the left point is at (-5,4)
Step-by-step explanation:
Rotation of any polygon about the origin gives the opposite sign coordinate of the original figure thus new coordinate will be (1,-1),(2,-6), and (5,-4).
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
Reflection is a mirror image of a graph about any axis.
If a coordinate of any polygon (x,y) is rotated 180 degrees about the origin either clockwise or anticlockwise then its coordinate will change sign.
(x,y) → (-x,-y)
Given triangle have coordinates as (-1,1),(-2,6), and (-5,4).
The transformation (x,y) → (-x,-y) gives ;
(-1,1) → (1,-1)
(-2,6) → (2,-6)
(-5,4) → (5,-4)
Hence "Rotation of any polygon about the origin gives the opposite sign coordinate of the original figure thus new coordinate will be (1,-1),(2,-6), and (5,-4)".
To learn more about the transformation of graphs,
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Owen is fishing. he starts with the bait 2 feet below the water. he reels out the bait 19 feet, then he reels it back in 7 feet. what is the final position of the bait
Answer:
the answer is 14
Step-by-step explanation
the math problem is just 2+19-7 or 21-7
A washing machine is on clearance for 30% off. If the sale price of the washing machine is $395.49, what was the original price? Round to the nearest cent if necessary. Justify your solution.
Answer:
Discount = Original Price x Discount %/100
Discount = 395.49 × 30/100
Discount = 395.49 x 0.3
You save = £118.65
Final Price = Original Price - Discount
Final Price = 395.49 - 118.647
Final Price = £276.84. (ANSWER)
original price of washing machine is $564.99 if the sale price of the washing machine is $395.49 with 30% off.
What is Percentage?Percentage is defined as a given part or amount in every hundred
Based on the given conditions, formulate:
x×(1-30%)=395.49
Apply multiplicative distribution
x-0.3x=395.49
Combine the like terms
0.7x=395.49
x=395.49/0.7
Convert decimal to fractions
x=(39549/100)/(7/10)
x=39549/(10×7)
x=39549/70
x=564.99
Hence original price of washing machine is $564.99
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2x/2 = 90/2 pls solve it it
Answer:
x=45
Step-by-step explanation:
2(45)=90
90/2=90/2
Simplify the expression below.
26√+(11−52)∣−10−2(3)∣
Group of answer choices
−83
−83
38
−38
Answer: I believe it is -38
Step-by-step explanation:
DerekPangrel60 Answer this question
Answer:
hello thank you for brainliest
help me please
………………….
Answer:
here is your answer
so the lengjt value of. n = 60
Isosceles triangles may be obtuse or acute but never right.
A. True
B. False
please help me
no random links pls
Answer:
Answer is c I think
Step-by-step explanation:
Solve the systems of equation by graphing
#a
Refer to attachment 1
#b
Refer to attachment 2
Please help me w this
Answer:
I can't give answer i don't have but....
percentage is similar to division.
