Answer:
The area of whole square is 396 sq mm
the area of triangle = 99
396 - 99 = 297 sq mm
Answer - 297
In what form is the following linear equation written?
3.x - 2y=4
A. Rise-run
B. Standard
C. Slope-intercept
D. Point-slope
Answer:
Step-by-step explanation:
The format of the "standard equation of a line" is Ax + By = C
Somebody please help. this is quadratics
Solve each equation by taking square roots.
[tex]1.)6x^2=-90\\2.)b^2-4=-2\\3.)16x^2-7=-6\\4.)10p^2+9=239[/tex]
Answer:
1)
[tex]6x^2=-90\\x^2=-15\\\sqrt{x^2} =\sqrt{-15} \\x=i\sqrt{15} ,-i\sqrt{15}[/tex]
2)
[tex]b^2-4=-2\\b^2=2\\\sqrt{b^2} =\sqrt{2} \\b=\sqrt{2} ,-\sqrt{2}[/tex]
3)
[tex]16x^2-7=-6\\16x^2=1\\x^2=\frac{1}{16} \\\sqrt{x^2} =\sqrt{\frac{1}{16}} \\x=\frac{1}{4} ,-\frac{1}{4}[/tex]
4)
[tex]10p^2+9=239\\10p^2=230\\p^2=23\\\sqrt{p^2} =\sqrt{23} \\p=\sqrt{23},-\sqrt{23}[/tex]
Harrison started a part-time job in order to pay for his gas to get to school and work. His job pays $9.50 per hour. His school has a rule that states that students cannot work more than 15 hours per week. He needs to earn at least $28.50 per week to pay for his gas. A. Write a function f(h) describing how much he will earn as a function of h hours worked. B. Based on the parameters described in the problem, what are the domain and range of the function rounded to the hundredth
f (15) = $142.50
i hope this help you!
We know that:
Harrison gets $9.50 per hour of work.
He can work a maximum of 15 hours per week.
He needs to earn a minimum of $28.50 per week.
A) We want a function f(h) that tells how much he wins in a week if he works h hours.
So we know that he gets $9.50 per hour of work, then if he works h hours, he gets h times $9.50, then we can just write:
f(h) = $9.50×h
B) First remember that the domain is the set of possible values of h, and the range is the set of possible values of f(h).
We know that the maximum value of h is 15, to find the minimum value of h we need to use the other restriction, that he needs to win at least $28.50, then we need to solve:
$9.50×h = $28.50
h = ($28.50)/($9.50) = 3
Then we can conclude that the domain is:
D = [3, 15]
To find the range, we just need to evaluate the function in the minimum and maximum values of the domain:
f(3) = $28.50
f(15) = $142.50
Then the range is:
R = [$28.50, $142.50]
If you want to learn more, you can read:
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On a map that bus stop is at the coordinates (5,4) and the pond is at the coordinates (8,5) what is the distance from the bus stop to the pond to the nearest unit
Answer:
Hence the distance is 3.16
Step-by-step explanation:
Given data
The bus stop is at the coordinates (5,4) and
x1=5
y1=4
The pond is at the coordinates (8,5)
x2=8
y2=5
The expression for the distance between two coordinates is
d=√((x_2-x_1)²+(y_2-y_1)²)
Substitute
d=√((8-5)²+(5-4)²)
d=√((3)²+(1)²)
d=√9+1
d=√10
d=3.16
Mr. Dieter wants to tile the family room in his basement. He has selected a pattern of square tiles that measure 9 inches by 9 inches each. The shape of the floor to be tiled is shown below. a. What is the area of the family room in square feet? b. How many of the 9 inch by 9 inch tiles will it take to cover the floor? (NOTE: You will need to convert the area in Part a from square feet to square inches.) c. If the tile is sold only in boxes of 12 tiles per box, how many boxes will Mr. Dieter have to buy to tile the family room?
Answer:
146 ft²
21.6 tiles
1.8 boxes
Step-by-step explanation:
Please find attached an image of the family room used in answering this question
the family room has the following shapes : 2 triangles and one rectangle
the area of the family room can be determined by calculating the area of each of the shape and adding the 3 areas together
area of a rectangle = length x breadth
16 x 7 = 112 ft²
Area of a triangle = 1/2 x base x height
Area of the smaller triangle = (1/2) x 4 x 3 = 6 ft²
Area of the bigger triangle = (1/2) x 8 x 7 = 28 ft²
Sum of the areas = 112 + 6 + 28 = 146 ft²
b.
1. First convert the area of the room to inches
1 ft = 12 in
146 x 12 = 1752 in²
2. the next step is to determine the area of the tile
area of a square = length²
9² = 81 in²
3. Divide the area of the room by the area of the tile
1752 / 81 = 21.6 tiles
c. total number of boxes that would be bought = 21.6 /12 = 1.8 boxes
What is the ordered pair for point A & F
A: A = (1, 6) & F= (5,1)
B: A= ( 6, 1) & F = (0,5)
C: A = ( 1, 6) & F = (5, 0)
D: A = (1,6) & F = ( 1,5)
Please answer this for me
Answer:
possibly z2-6 so try the third one
Step-by-step explanation:
Similar triangles have the same shape but a different what
Which cylinders have the same volume as the cylinder below? Check all that apply. A cylinder with height of 32 meters and diameter of 20 meters.
Answer:
10054.4m^3
Step-by-step explanation:
Given data
Height= 32m
Diameter= 20m
Radius= 10m
The expression for the volume of a cylinder is given as
V= πr^2h
Substitute
V= 3.142*10^2*32
V= 3.142*100*32m^3
Hence the volume is 10054.4m^3
Answer:
cylinder with a height of 8m and a diameter of40m
cylinder with a height of 128m and a diameter of 10m
Step-by-step explanation:
got it right on edge may 2021. also sub to Troy's Movies on you tube
find the perimeter and area of the shape based on the information provided
Answer:
If you were to attach the shape, I could help.
*simplify 5|-3+(-7)|=
Answer:
-2l -3
Step-by-step explanation:
5l -3+ (-7)l
5l -3 -7l
5l -7l -3
-2l -3
Class 7887 has 2:7 math classes daily. How many math classes do they have after 21 days?
Please answer properly, You will get 1000 points for answering it, I do not want to see any links otherwise you will be banned!
Answer:
assuming that 2:7 math classes daily means that they have 2 math classes out of 7 classes daily, then after 21 days they would have 42 math classes.
The volume of a cone is 88 pi cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown below.
V = one-third pi r squared h. Step 1: 88 pi = one-third pi r squared (8). Step 2: 88 pi = StartFraction 8 Over 3 EndFraction pi r squared. Step 3: StartFraction 8 Over 3 EndFraction (88) = r squared. Step 4: 234.7 = r squared. Step 5: 15.3 = r.
What is Fatima’s error?
In step 4, Fatima did not find the correct value of StartFraction 8 Over 3 EndFraction (88).
In step 2, Fatima should not have multiplied One-third and 8.
In step 3, Fatima did not multiply 88 by the reciprocal of StartFraction 8 Over 3 EndFraction.
In step 1, Fatima did not substitute the correct value for the height in the formula.
Answer:
c
did it on edg:D
mark brainliest please need it for a new rank
Answer:
C or "In step 3, Fatima did not multiply 88 by the reciprocal of 8/3"
Step-by-step explanation:
please help 5 stars if ya answer
Answer:
d. 2.0
Step-by-step explanation:
i hope this helps :)
Answer:
D
Step-by-step explanation:
√2π / √5 (expand the expression)
√2π / √5 x √5 / √5 (multiply the fractions)
√2π√5 / √5/√5 (calculate and multiply)
solution is √10π/5 so 1.98 round it to the nearest 10 and it'll be 2 so the answer is D
Find the missing factor
2x ^ 2 + 5x - 3 = (2x - 1)
Answer:
(x-3)
Step-by-step explanation:
2x²+5x-3=x² +x−6x−3 =x(2x+1)-3(2x+1) =(2x+1)(x-3)
The required missing factor is (x - 3).
Given the equation, 2[tex]x^2[/tex] + 5x - 3 = (2x - 1).
To find the missing factor in the equation 2x^2 + 5x - 3 = (2x - 1), to factorize the quadratic equation on the left side and compare it to the given factor (2x - 1).
The factors will have the form (ax + b)(cx + d), where a, b, c, and d are constants.
To find values for a, b, c, and d such that (ax + b)(cx + d) is equal to
2[tex]x^2[/tex] + 5x - 3.
To determine the values of a, b, c, and d, we can use the FOIL method (First, Outer, Inner, Last). FOIL involves multiplying the first terms, the outer terms, the inner terms, and the last terms of the two binomials.
Factorize the quadratic equation:
2[tex]x^2[/tex] + 5x - 3
(2x - 1)(cx + d) = 2[tex]x^2[/tex] + 5x - 3
Expanding the left side using FOIL:
(2x - 1)(cx + d) = 2[tex]x^2[/tex] + 6x - x - 3
Combining like terms on the right side:
(2x - 1)(cx + d) = 2x( x - 3) -1 (x - 3)
Combining like terms on the right side:
(2x - 1)(cx + d) = (2x - 1)(x - 3)
By comparing the coefficients of the terms on both sides of the equation, determine the missing factor. Observe that the coefficient of x^2 is 2 on both sides, and the coefficient of x is -1 on both sides.
Therefore, the missing factor is (x - 3).
Hence, the complete factorization of the quadratic equation
2[tex]x^2[/tex] + 5x - 3 = (2x - 1)(x - 3).
Learn more about factoring quadratic equations click here:
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x/3-300=250 Show your work
Answer:
x=1650
Step-by-step explanation:
1650/3=550-300=250
Answer:
x = 1650
Step-by-step explanation:
We are given the equation x/3 - 300 = 250 and are asked to solve for x.
To solve this, we need isolate x, do as followed :
x/3 - 300 = 250
Add 300 to both sides :
x/3 = 550
Multiply 3 to both sides :
x = 1650
1. ris 4 more than the product of 7 and 8
Answer:
i dont know if this is the answer u want
4+(7*8)=x
x= 60
Step-by-step explanation:
The manager of a sporting goods store raises the price of a basketball from $16 to $18. What is the percent increase?
Answer:
12.5%
Step-by-step explanation:
write the equation of the line with a slope of -2/3 and a y intercept of (0, 6) in standard form *
Answer:
y=-2/3x+6
Step-by-step explanation:
Can you help please.....
Answer:
b, d, and e are the three statements that make the most sense to be true.
Step-by-step explanation:
tell me if this is wrong.
use the area model to explain why 3/4 and 9/1 are equivalent
Answer:
amongus in real life sus sus
Step-by-step explanation:
Dominic spent $8 on a book. He made $6 doing chores for a neighbor. What numbers represent the situations?
–8 and –6
–8 and 6
8 and –6
8 and 6
Answer:
-8 and 6
Step-by-step explanation:
he spent 8 on the book, therefore he had deduced 8 dollars, and earned 6, therefore he had increased 6 dollars
Answer:
I am guessing it is -8 and 6
Step-by-step explanation:
If Dominic spent $8 on a book, but only made $6, I believe it wil be -8, because he spent 8, and 6 because it's what he earned.
Hope this helps! :)
please help!!!
i need help with this
Answer:
Step-by-step explanation:
Combine like terms. Like terms have same variable with same power
a) (2xy + 4x) + (15xy - 5x) = 2xy + 15xy + 4x - 5x
= 17xy - x
b) (6a + 4b² - 3) + (3b² - 5) = 6a + 4b² + 3b² - 3 - 5
= 6a + 7b² - 8
c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ - 3x² + 8x² + 4x - 5x
= 4x³ + 5x² - x
d) (7b - 6a + 9y) - (12b + 5a - 2y) =
In subtraction, add the additive inverse of (12b + 5a - 2y)
additive inverse = - 12b - 5a + 2y
(7b - 6a + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y -12b -5a + 2y
= 7b - 12b -6a - 5a + 9y + 2y
= -5b - 11a + 11y
e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)
Additive inverse of 13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y
(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y
= 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y
= -2x² - 6x - 7 + 15y
Find the complement of the angle 103º
(Let me know if it's impossible. NO LINKS!!)
Answer:
I don't think you can
Step-by-step explanation:
The sum of brian's and rihanna's ages is 41. The difference between two times brian's age and rihanna's age is 13. How old is rhianna
Answer: 13?
Step-by-step explanation:
I need help under standing
Find the surface area of the prism. Write your answer as a fraction or moxed number.
b) solve for x if x² +3x - 4 <0
Answer:
x=4,−1
Step-by-step explanation:
hope i helped
plz mark me brainlest
and have a nice day:)
Find the area of this shape. (Note: the figure is NOT drawn to scale)
Answer:
The area of this shape is [tex]50cm^2[/tex].
Step-by-step explanation:
To find the area of this figure, you only need to know the area of the rectangle and the area of the triangle. The area of the rectangle would be 5 * 6 = [tex]30cm^2[/tex]. Since the length of the rectangle plus the base of the triangle is equivalent to 14, that means the base of the triangle is equal to 14 - 6 = 8 cm. The formula for the area of a triangle is [tex]\frac{1}{2} bh[/tex], the base you now know is 8 cm, and the height is 5 cm, which means the area of the triangle would be [tex]\frac{1}{2} *5*8[/tex] = [tex]\frac{1}{2} * 40[/tex] = [tex]20cm^2[/tex]. Add the area of the rectangle to the area of the triangle and you'll get the area of the entire shape, which is 30 + 20 = [tex]50cm^2[/tex].
What is the simplest form of the fraction below?
24/36
Answer:
2/3
Step-by-step explanation:
In what way does walking help The environment? How does it make you feel about the state of our environment?