Answer:
21.75
Step-by-step explanation:
L) simplify
sin²x ( cot²x + 1 )
Answer: 1.
Step-by-step explanation:
[tex]\displaystyle\\sin^2x(cot^2x+1)=\\\\sin^2x(\frac{cos^2x}{sin^2x}+1)=\\\\\frac{sin^2xcos^2x}{sin^2x}+sin^2x=\\\\cos^2x+sin^2x=\\\\1.[/tex]
Convert the improper fractions to mixed numbers
Answer:
28.1 7/8
29.3
30.18/8=9/4=2 1/4
Step-by-step explanation:
Answer:
28. 1 [tex]\frac{7}{8}[/tex]
29. 3
30. 2[tex]\frac{2}{8}[/tex]
What is the greatest possible quotient of any two distinct members of the set $\left\{\frac{2}{5}, \frac{1}{2},5,10\right\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set.
The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required to be determined is; 25.
What is the maximum possible quotient of any pair of numbers from the set?It is evident from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.
On this note, since the quotient which is to be maximised is hypothetically; x / y;
Therefore, in a bid to maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.
On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;
10 / (2 / 5)
= ( 10 × 5 ) / 2
= 25.
Ultimately, it can be inferred that the greatest possible quotient as required is; 25.
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I NEED HELP ASAP!!! PLEASE HELP ME!!!!!!!
In the decathlon event at large track meets, male athletes compete in a total of 10 events. Their combined performance in each of the events is used to determine the winner. Two of the events are the 200-meter dash and the javelin throw. For 12 athletes at a large international competition, performances in these two events are recorded and placed in a scatterplot. The value of r for this scatterplot is 0.369.
A graph titled decathlon Events has 200-meter dash time (seconds) on the x-axis, and Javelin throw distance (meters) on the y-axis. Points are grouped loosely together in a line with positive slope.
Which of the following best describes the relationship between the variables in the scatterplot?
Those with lower 200-meter times tend to have longer javelin distances. The relationship is strong.
Those with higher 200-meter times tend to have longer javelin distances. The relationship is strong.
Those with lower 200-meter times tend to have longer javelin distances. The relationship is moderate.
Those with higher 200-meter times tend to have longer javelin distances. The relationship is moderate.
answer is D
Based on the information provided, the best description of the relationship between the variables in the scatterplot is: option D, "Those with higher 200-meter times tend to have longer javelin distances. The relationship is moderate."
What is the relationship about?The scatterplot shows a positive relationship between the two variables, as indicated by the points being grouped loosely together in a line with a positive slope.
This means that as the 200-meter dash time increases, the javelin throw distance also tends to increase. The coefficient of correlation, r, also supports this relationship, as a value of 0.369 indicates a moderate positive correlation between the two variables. Though the correlation is moderate, it's important to note that this does not imply causality.
Therefore, note that, based on the description in the question, the relationship is moderate, not strong. The statement is accurate only when the correlation coefficient is between 0.3-0.7 which is considered as moderate correlation.
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Answer:
d
Step-by-step explanation:
Need help answering this question!!!!
Twenty nine percent of the 50,000 spectators at a Liverpool football match are wearing red t-shirts.
How many people are wearing a red t-shirt?
Answer:
Number of people wearing a red t-shirt= 14,500
Step-by-step explanation:
Giving the following information:
Number of people= 50,000
Percentage of people using red t-shirt= 29%
To calculate the number of people wearing a red t-shirt, we need to use the following formula:
Number of people wearing a red t-shirt= number of people*percentage of people wearing a red t-shirt
Number of people wearing a red t-shirt= 50,000*0.29
Number of people wearing a red t-shirt= 14,500
A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high. Which box has the greater lateral surface area and by how much
On solving the provided question, we can say that So, the total surface area of cuboid is larger by (610 — 600 = IO) cm2
what is cuboid?A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.
(Lateral surface area of cube = 4edge2
lateral surface area of cuboid =2h (l + b)
[tex]2 x 8(12.5+ 10)\\= 16 x 22.5\\= 360\\[/tex]
lateral surface area of the cube is larger by (400
- 360
= 40)cm2
Total surface area of cube = 6edge2
= 600
lateral surface area of cuboid
[tex]=2 (lb + bh + hl)\\2(12.5 x 10+ x 8+8 x 12.5)\\= 2 (125 + 80 + 100)\\= 610[/tex]
So, the total surface area of cuboid is larger by (610 — 600 = IO) cm2
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What is the volume of a cube with three 1/3 inch sides
Answer:
(1/27) in^3
Step-by-step explanation:
"sides" is inappropriate here. You meant "a cube with three edges each 1/3 inch long."
V of cube: V = s^3, where s: side length
Here, V = (1/3 in)^3 = (1/27) in^3
Note: all cubes have 6 (six) sides, including this one with 6 1/3 in sides.
Is the area of an equilateral triangle is 9 root 3 cm square then the semi perimeter of the triangle is?
The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.
what is triangle ?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
given
area of equilateral triangle = [tex]9\sqrt{3}cm^{2}[/tex]
formula of area of equilateral triangle = [tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex]
a = side of triangle
[tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex] = [tex]9\sqrt{3}cm^{2}[/tex]
[tex]a^{2} = \frac{4* 9\sqrt{3} }{\sqrt{3} }[/tex]
[tex]a^{2} = 36\\ a = 6 cm[/tex]
since equilateral triangle all sides are equal
perimeter of triangle = 6 + 6 + 6
= 18cm
the semi perimeter of the triangle = 18 /2 = 9 cm
The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.
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A $1,200 bond earns 3% simple interest per year on its purchase price. What is the amount of interest earned after 15 MONTHS?
Select one:
$1245
$3
$36
$45
Answer:
45$
Step-by-step explanation:
Answer:
$45
Step-by-step explanation:
$1,200 x 0.03% = $36 yearly
$36/12 = $3 per month
$3 x 15 months = $45
if u know lmk pls and ty
Answer:
A) The cat weights 7 kilograms when it is 4 months old.[tex]-----------[/tex]
hope it helps...
have a great day
In the diagram below, transversal t intersects parallel lines I and m.
What is the value of x?
Step-by-step explanation:
x+10=116
x=116-110
=106
x=106
Need help ASAP. Question in photo. Will mark brainliest if correct
Answer:
C
Step-by-step explanation:
I did this question today, pls lmk if u get it right
which is the best way to answer a 10 question multiple choice test in which each question has 6 choices for answers
- 1 ) flipping a coin ?
- 2 ) rolling a die ?
- 3 ) spinning a spinner with 4 equal sections ?
- 4 ) spinning a spinner with 10 equal sections
Answer:
Rolling a die.
Step-by-step explanation:
A die has 6 sides for every answer and the only choice regarding the number 6 and you can roll (questions) times.
Find the angle measure of the shaded region
Answer:
look at the picture I sent
10.
Find the area of the shaded
a)
b)
14 cm
14 cm
d)
e)
Answer:
14 cm
Step-by-step explanation:
Pls help me with math
By the concept of the proportional method we determine that the height of the tower would be 48 feet.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
The model given can be interpreted by the concept of proportional method
a : b : : c : d.
Therefore,
5 : 6 : : 40 : x.
5/6 = 40/x.
5x = 240.
x = 240/5.
x = 48 feet.
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There are 80 oranges and apples, and 5% of them are apples. William takes out some of the oranges, so apple make up 20% of the remaining pieces of fruit. How many oranges did he take out
Raymond applies the pearl guitar fret markers to his fret board as shown. Each fret marker is in the shape of a parallelogram. Each of the 3 bottom fret markers has a base that measures 45.5 mm and a height of 8mm. What is the area of each of the bottom fret markers? help me i need help im in 6th grade!
Answer:
364 mm2.
Step-by-step explanation:
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
The circle equations for circles with diameters of 12 units that lie on the y-axis are:
x^2 + (y – 3)^2 = 36x^2 + (y + 8)^2 = 36Which equations represent circles?We want to find the equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis, now, remember that the general equation for a circle of radius R and a center (a, b) is:
(x - a)^2 + (y - b)^2 = R^2
If we want a circle that lies on the y-axis, then a = 0, and if the diameter is 12 units, then the radius is R = 6 units.
Then the equation is something like:
x^2 + (y - b)^2 = 6^2 = 36
The two circle equations with this form are:
x^2 + (y – 3)^2 = 36x^2 + (y + 8)^2 = 36Learn more about circle equations:
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what is the distance between (-3,5) and (4,5)
Answer: 7
Step-by-step explanation:
Distance (d) = √(4 - -3)2 + (5 - 5)2
= √(7)2 + (0)2
= √49
= 7
ΔX = 4 – -3 = 7
ΔY = 5 – 5 = 0
y = 0x + 5
When x=0, y = 5
Answer:
Step-by-step explanation:
D = SQRT(x 2 - x 1) 2 + (y 2 - y 1) 2
X2 Y2
(-3,5)
X1 Y1
(4,5)
D= SQRT (-3-4)^2 + (5-5)^2
D= SQRT 49
D=7
Which is the product of [tex]\frac{7}{9\\}[/tex] and 6?
( 100 POINTS )
Answer:
[tex] \sf \: \frac{14}{3} [/tex]
Step-by-step explanation:
Given problem,
[tex] \sf \rightarrow \: \frac{7}{9} \times 6[/tex]
Let's solve the problem,
[tex] \sf \rightarrow \: \frac{7}{9} \times 6[/tex]
[tex] \sf \rightarrow \: \frac{(7 \times 6)}{9} [/tex]
[tex] \sf \rightarrow \: \frac{42}{9} [/tex]
[tex] \sf \rightarrow \: \frac{14}{3} [/tex]
Hence, the product is 14/3.
During the grand opening of an electronics store, any customer has a 17% chance of winning a free laptop. What is the chance that a customer does not win a free laptop?\
It’s a geometry question and I’ll mark brainliest.
Answer:
a
Step-by-step explanation:
4. Find the probability that a randomly chosen point lies inside the shaded region. 4.
Express your answer as a decimal rounded to the nearest hundredth.
0.167 or 0.17 rounded to the nearest hundredth.
How do you round off decimal to the nearest hundredth?
When rounding to the nearest hundredth, you want to look at the third decimal place, the one to the right of the hundredth place. If the value in the third decimal place is less than 5, you truncate everything to the right of the hundredth place, leaving the number unchanged.
If the value in the third decimal place is greater than or equal to 5, you add one to the number in the hundredth place.
The total area of the rectangle is 15*5 = 75 square feet.
The area of the triangle inside the rectangle is (1/2)25 = 12.5 square feet.
The shaded region is the area of the triangle, so the probability that a randomly chosen point lies inside the shaded region is
12.5/75 = 0.167 or 0.17 rounded to the nearest hundredth.
Hence, 0.167 or 0.17 is rounded to the nearest hundredth.
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What is the value of f in a function?
A function is generally indicated by f.
What is function?A mathematical expression that indicates a relationship between an independent variable and a dependent variable.
In other word, a function shows a relation between a set of input values to a set of output values in where each input value is connected to only a particular output value.
What is the value of f in a function?A function is generally, expressed by letters such as f, g and h and so on.
It is said that f(x) is a function of x or g(x) and h(x) are a function of x when functions are denoted by g or h.
For an input value of an independent variable x, the output value is denoted by f(x) that is equal to a dependent variable such as y. We can write, y = f(x)
The set of x value are the domain of function, and the set of f(x) value are the ranges of a function.
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Complete question is: What is the value of f in a function?
Find the length of DB.
Do not Answer with a link.
Answer:
4
Step-by-step explanation:
Just count the units across, how to get from 2 to -2 which is just simply four units back.
Craig won first prize in Mrs. Short's class
so he gets to pick a prize from the treasure
box. He doesn't know what he wants, so
he is going to chose randomly. There are 7
different gift card prizes: fast food, ice cream,
CD's, DVD's, movies, the mall and Carowinds.
If there is an equal number of each card in
the box, what is the probability he will pull out
the gift card for Carowinds?
Group of answer choices
0/7
6/7
1/7
1/2
Answer:
[tex] \frac{1}{7}[/tex]
Answer:
1/7
Step-by-step explanation:
there is seen prizes and he pulls seven times so the odds would be 1/7
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
D
Step-by-step explanation:
For a quadratic equation ax² +bx +c= 0, the quadratic formula is as below:
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
x² -12x +7= 0
[tex]x = \frac{ - ( - 12)± \sqrt{( - 12) {}^{2} - 4(1)(7) } }{2(1)} [/tex]
[tex]x = \frac{12± \sqrt{144 - 28} }{2} [/tex]
[tex]x = \frac{12± \sqrt{116} }{2} [/tex]
[tex]x = \frac{12± \sqrt{4(29)} }{2} [/tex]
[tex]x = \frac{12±( \sqrt{4})( \sqrt{29} )}{2} [/tex]
[tex]x = \frac{12±2 \sqrt{29} }{2} [/tex]
[tex]x = 6± \sqrt{29} [/tex]
[tex]∴x = 6 + \sqrt{29} \: \: \: or \: \: \:x = 6 - \sqrt{29}[/tex]