Answer:
[tex]\angle 1 + \angle 2 = 180^o[/tex]
Step-by-step explanation:
Given
[tex]\angle 1[/tex] and [tex]\angle 2[/tex]
Required
The relationship between them [tex]\angle 1[/tex] and [tex]\angle 2[/tex]
From the question, we understand that [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are supplementary
Supplementary angles add up to 180.
So, the relationship between [tex]\angle 1[/tex] and [tex]\angle 2[/tex] is:
[tex]\angle 1 + \angle 2 = 180^o[/tex]
A game involves correctly choosing the 5 correct numbers from 1 through 18 that are randomly drawn. What is the probability that a person wins the game, if they enter a) once? b) 7 times with a different choice each time?
Answer:
[tex]=\frac{1}{8568}\ = .00011\\\ =\frac{7}{8568} = .00081[/tex]
Step-by-step explanation:
[tex]5/18\cdot \:4/17\cdot \:3/16\cdot \:2/15\cdot \:1/14=\frac{1}{8568}[/tex]
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 16 ft wide.
Find the area of the garden.
Answer: Using width as diameter=32π Using length as diameter=72π
*I included both possibilities since I didn't see a picture of the way in which the semicircle and rectangle were joined.*
Step-by-step explanation:
In order to solve, you have to know the formula for area of a circle which is A=πr^2 (pi*radius to the 2nd power)
The problem does not give us the radius, but we know that radius is half of the diameter.
To find the diameter, we have to use the side measurement of the rectangle and divide it by 2 to find the radius.
Next, we increase the radius to the 2nd power, giving us the radius of a whole circle.
Finally, we have to divide that by 2 since it's a semi circle otherwise known as half of a circle.
I put the answer in terms of pi since that's the most accurate, but if the question specifically instructs it, you can calculate part of the irrational decimal and round to a certain place value.
what is the slope of the line?
The slope is -1.
You have to find the two closest points where the line directly hits a number. For that, we have -3 in the first quadrant and -3 in the third quadrant. With this info, the line goes down 3 times and to the right 3 times, The ratio would look like this: [tex]\frac{-3}{3}[/tex]. Divide both and you get -1. Hope that helped!
Find the value of 3w-10 given that -11w-4=7.
Simplify your answer as much as possible.
Answer:
-13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-11w - 4 = 7
3w - 10
Step 2: Solve for w
[Addition Property of Equality] Add 4 on both sides: -11w = 11[Division Property of Equality] Divide -11 on both sides: w = -1Step 3: Evaluate
Substitute in w: 3(-1) - 10Multiply: -3 - 10Subtract: -13Function g can be thought of as a scaled version of f(x)=|x|
Answer:
g(x) = 1/2 |x|
Step-by-step explanation:
Scaling f(x) means it's of the form g(x) = a|x|
From the graph, it appears to pass through the point (2, 1). By subbing in the values for this point, the equation can be found to be:
1 = a|2|
a = 1/2
Therefore, g(x) = 1/2 |x|
Guys please help me solve this I’m struggling
Answer:
[tex]Max\ z = 1[/tex]
[tex]Min\ z = -9[/tex]
Step-by-step explanation:
Given
[tex]z = 4x + 5y[/tex]
[tex]x \ge -1[/tex]
[tex]y \le 2x +3[/tex]
[tex]y \le -1[/tex]
Required
The maximum and minimum of z
To do this, we make use of the graphical method
See attachment for graphs of
[tex]x \ge -1[/tex]
[tex]y \le 2x +3[/tex]
[tex]y \le -1[/tex]
The corner points of the function are:
[tex](x,y) = (-1,1)[/tex]
[tex](x,y) = (-1,0)[/tex]
[tex](x,y) = (-1,-1)[/tex]
We have:
[tex]z = 4x + 5y[/tex]
Calculate z with the above values
[tex]z = 4(-1) + 5(1) = 1[/tex]
[tex]z = 4(-1) + 5(0) = -4[/tex]
[tex]z = 4(-1) + 5(-1) = -9[/tex]
So, we have:
[tex]Max\ z = 1[/tex]
[tex]Min\ z = -9[/tex]
When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in inches, of a spray of water is given by the equation h(x)=160x−16x2 where x is the number of feet away from the sprinkler head the spray is. What is the height of the spray 2 feet away from the sprinkler head?
Answer:
(1) 256 inches
(2) 5 feet
(3) 400 inches
(4) 10 feet
Step-by-step explanation:
(1) The function that gives the height in inches of the spray of water at a distance x from the sprinkler head is given as follows;
h(x) = 160·x - 16·x²
At x = 2 feet, we have;
h(2) = 160 × 2 - 16 × 2² = 256
Therefore, the height of the spray water at a horizontal distance of 2 feet from the sprinkler head h(2) = 256 inches
(2) The x-coordinate, [tex]x_{max}[/tex], of the maximum point of a parabola given in the form, y = a·x² + b·x + c is found using the following formula;
[tex]x_{max}[/tex] = -b/(2·a)
The x-coordinate, [tex]x_{max}[/tex], of the maximum point of the given equation of the parabola, h(x) = 160·x - 16·x², (a = -16, b = 160) is therefore;
[tex]x_{max}[/tex] = -160/(2 × (-16)) = 5
Therefore, the number of feet along the way, the function will reach maximum height, [tex]x_{max}[/tex] = 5 feet
(3) The function, h(x) = 160·x - 16·x², will reach maximum height, [tex]h_{max}[/tex], at x = 5, therefore;
[tex]h_{max}[/tex] = h(5) = 160 × 5 - 16 × 5² = 400
The maximum height of the spray, [tex]h_{max}[/tex] = 400 inches
(4) The water is at ground level where h(x) = 0, therefore;
At ground level, h(x) = 0 = 160·x - 16·x²
160·x - 16·x² = 0
∴ 16·x × (10 - x) = 0
By zero product rule, we 16·x = 0, or (10 - x) = 0, from which we have;
x = 0, or x = 10
The water is at ground level at x = 0 and x = 10 feet, therefore, the water will hit the ground again (the second time after leaving the sprinkler head at x = 0) at x = 10 feet.
The answer isn’t C. Please help
ILL MARK BRAINIEST IF U DO THIS RIGHT!!!
Answer:
D because even though the flat fee is 150 paying 5$ a hour it will cost less
asap help -------------------
Answer:
C. Complex
Step-by-step explanation:
A complex number consists of a real part (-4.8) and an imaginary part (56i)
Please help me fast
Answer:
864
Step-by-step explanation:
A=6a^2=6·12^2=864
Answer:
864 in^2
Step-by-step explanation:
2(144+144+144) = 2(432) = 864 in^2.
Hope this helped!
Please rewrite in simplest radical form (the problem in the photo below). Show each step of the process and explain what you did. Thank you for your time.
Answer:
√x
Step-by-step explanation:
1/(x^(-3/6)
= x^(3/6)
= x^(1/2)
= √x
A correct description of the line defined by y-6= -1/2(x+7) is
a. it is a line through (-7,6) with a slope of 1/2
b. it is a line through (7,-6) with a slope of -1/2
c. it is a line through (-7,6) with a slope of -1/2
d. it is a line through (7,-6) with a slope of 1/2
Answer:
C
Step-by-step explanation:
The correct answer is C
Because taking the point to be (a,b)
[tex]y - b = m(x - a) \\ \: is \: the \: \: equation \: \: of \: \: a \: line[/tex]
Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games? Two samples were randomly
Complete question is;
Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games?
Two samples were randomly selected from three complete National Football League seasons (1989, 1990, and 1991). The first sample consisted of 50 games, where the favored team played in a home game, while the second sample consisted of 50 games, where the favored team played in an away game. The oddsmakers’ point spreads (which are the number of points by which the favored team is predicted to beat the weaker team) were then collected.
If µ1 and µ2 represent the mean point spread for home games and away games, respectively, which of the following is the appropriate.
A) H0: μ1 - μ2 = 0
Ha: μ1 - μ2 < 0
B) H0: μ1 - μ2 = 0
Ha: μ1 < μ2
C) H0: μ1 - μ2 > 0
Ha: μ1 - μ2 = 0
D) H0: μ1 - μ2 = 0
Ha: μ1 - μ2 > 0
E) None of the above
Answer:
D) H0: μ1 - μ2 = 0
Ha: μ1 - μ2 > 0
Step-by-step explanation:
We want to find out if oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games.
Now, since µ1 and µ2 represent the mean point spread for home games and away games, respectively;
It means we want to find out if µ1 > µ2 as the alternative hypothesis.
Thus, alternative hypothesis is;
Ha: µ1 - µ2 > 0
Meanwhile null hypothesis assumes that equal point spreads are given when the favored team plays home games as well as when the favored team plays away games.
Thus, null hypothesis is;
H0: μ1 - μ2 = 0
The only correct option is D.
Answer in Detail !!! ✨
Answer:
3300cm²
Step-by-step explanation:
30cm+30cm=60cm 60cm is the lengh of the whole joint structure.We will put it in the equation as "a".
heigh stays the same(10cm) because the pieces are not stacked one on top of the other.They are joined on their sides.We will put it as "c".
Widht also stays the same.its 15 cm and we will put it as letter "b".
So
a=60cm
b=15cm
c=10cm
We need to calculate the surface area of the entire joint structure.
1.First thing to do is to calculate the top part which is:
a*b=15*60=900cm²
2.The bootom side is the same 900cm².
3.The front side is:
a*c=60*10=600cm²
4.The back side is the same as front so it is 600cm².
5.The left side is:
c*b=10*15=150cm²
6.The right side is the same as the left and it is 150cm²
Now we just add it up.
S(surface)=900*2+600*2+150*2=3300cm²
If you want the whole exercise in one equation:
S=2*(a*b)+2*(a*c)+2*(b*c)
Decide!!!!!!!!!!!!!!!!!!!!!
Answer:
15 unitsStep-by-step explanation:
Let the coordinates of point B are (x, y).
Since the rotation is clockwise the angle measure between OA and OB is -60° (IV quadrant).
x = 15 cos (-60°) = 7.5y = 15 sin (-60°) = -12.99The distance between A and B is:
AB = [tex]\sqrt{(15-7.5)^2+(0+12.99)^2} = \sqrt{225}[/tex] = 15 unitsAnother solutionSince OA = OB = 15 units and AOB is 60° angle the triangle OAB is equilateral. Hence AB is same as OA and OB, so AB = 15 units.
Find the missing side lengths
Answer:
Download gauthmath it will help
Jesus loves u
-2 (x+5):4
Pliss es para hoy
I don't know how you want it solved but, I am giving u -2 I hope this helps
Which expression(s) represent(s) the perimeter of the following figure? Select all that apply. (answers are in units)
Perimeter = the sum of the outer sides
#1. P = (2x + 3) + (2x + 3) + (5x - 1) + (5x - 1) + (x - 7)
#2. P = 2(2x + 3) + 2(5x - 1) + (x - 7)
#3. P = 4x + 6 + 10x - 2 + x - 7
#4. P = 15x - 3
A. Correct - equivalent to #2
B. Incorrect - does not include all of the sides
C. Correct - equivalent to #1
D. Incorrect
E. Incorrect
F. Correct - equivalent to #4
Hope this helps!
Answer:
A, C, F.
Step-by-step explanation:
Answers A, C, and F are all equal and represent the perimeter of the shape.
There are 2 sides that are (2x+3) and (5x-1) in size and 1 side that is (x-7) in size.
BD is paralell to XY, what is the value of y?
A. 125
B. 85
C. 65
D. 105
Answer:
options b is correct
Does the answer help you?
Answer:
B. [tex]85[/tex]
Explanation:
This is a simple test of your knowledge about this sort of problem. When you get 2 parallel lines intersected the way you see in the picture, the lower right angle of the first intersection is equal to the upper left angle of the first line as well as the upper left and lower right angles of the second line so with that knowledge you can immediately identify that since the question gives you the measure of an angle equal to the angle you need to identify; you don't even need to do any math to find the answer for this question.
Write each function in parametric form, using the given equation for x.
x^2+y^2=9, x= cos t
What is (0,6] n (6,8]?
Answer:
(6) the letter n : intersection which means the number you will find at the first bracket and has the same number at the other bracket
If f(x) = [x]-5, what is f(8.6)?
O 3
O 4
O 8
O 9
Answer:
if the question wants you to round. the answer is 4.
Step-by-step explanation:
f(x)=[x]-5
where x= 8.6
substitute 8.6 for x and you have 8.6-5= 3.6= 4
sons
Find the values of a and b in the rhombus, Solve for the value of c, it ca tb.
3b+4, (5a-5)
A
Question Progress
(14a +20)
13b-9
A5
OB.4.7
Oct
0,63
Pest Selection
2
30
13'5 Sunny
Answer:
D
Step-by-step explanation:
The sides of a rhombus are congruent , then
13b - 9 = 3b + 4 ( subtract 3b from both sides )
10b - 9 = 4 ( add 9 to both sides )
10b = 13 ( divide both sides by 10 )
b = 1.3
The diagonals are perpendicular bisectors of each other , then
14a + 20 = 90 ( subtract 20 from both sides )
14a = 70 ( divide both sides by 14 )
a = 5
Thus c = a + b = 5 + 1.3 = 6.3 → D
Sal washed 5 cars in 50 minutes. What is the unit rate?
Answer:
since Sal washed 5 cars in 50 minutes, we can express his time as follow:
[tex] \frac{5 \: cars}{50 \: minutes} [/tex]
simplifying it by diving by 5, we get:
[tex] \frac{1 \: car}{10 \: minutes} [/tex]
Thus the rate will be 10 minutes per car (10 min/car)
Answer:
10 mins / car
Step-by-step explanation:
50 / 5 = 10
A water bottling company has purchased the rights to bottle 960 liters of spring water a month from the local spring.
How many 4-liter bottles can they produce a month?
Answer:
becouse 4×960 will give you
3840
Will give brainliest need a quick answer
Whats 782,835 divided by 5?
Answer:
156,567
Step-by-step explanation:
782,835 ÷ 5 = 156,567
Answer:
it is 165,567
Step-by-step explanation:
u divide
Prove that angle ABD is congruent to angle CBE
with solution!
ANSWER:
the conditions are the angle a is equal to angle c and ab = bc . Hence we need to prove that the triangles is congruent to the triangle cbe. ... angle A =angle C and AB=BC.
Good Afternoon I am really stuck on this question whoever solves it I will give them brainliest with no unacceptable question thank you so much!
Answer:
Card picked=2
P(factors of 28)={1,2,4,7,14,28}
total cards=4
in percentage=4 x 20 + 20
80+20=100
Therefore 2 in percentage will be
2 x 20 + 20
=40+20=60%
