Answer:
1. C. 1 + cot²θ = cos²θ
D. 1 - sec²θ = tan²θ
2. D. 0
3. C. Any square is a rectangle
4. C. Parallelogram
5. B. 30 m
6. A. cos(-890°) is Negative
Sin(-890°) is negative
7. A. 100·√3 m
8. [tex]\left (\dfrac{-8}{3} , \dfrac{1}{3} \right )[/tex]
9. First option, A. 68 unit
10. A. 150
Step-by-step explanation:
1. C. 1 + cot²θ = cos²θ
The correct identity is given as follows;
1 + cot²θ = csc²θ
Also
D. 1 - sec²θ = tan²θ
The correct identity is given as follows;
1 - sec²θ = -tan²θ
2. cot(-8550)
We convert -8550 to degrees by dividing by 360 and multiplying the remaining fraction by 360 as follows;
[tex]\dfrac{-8550}{360} = -23\dfrac{3}{4}[/tex]
Therefore, -8550 ≅ -3/4×360 = -270
-270 ≅ 360 - 270 = 90°
Therefore, cot(-8550) = cot(90) = 1/(tan(90)) = 1/∞ = 0
Therefore, the correct option is the option D. 0
3. The correct option is any square is a rectangle as a square (a rectangle with all sides equal) is a subset of the set of rectangles
The correct option is C. Any square is a rectangle.
4. Where the diagonals bisect each other, we have a shape where the two opposite triangle areas across the bisector are equal
Therefore, the quadrilateral is necessarily a C. Parallelogram
5. Where by the angle of depression = 45°
Therefore, the angle of elevation = 45° (Alternate angles)
The height of the building = 30 m
Therefore, tan(45°) = (30 m)/(Distance of point A from the building) = 1
∴ The distance of point A from the building = 30 m
The correct option is therefore;
B. 30 m
6. A. -890° = 190° which is in the second quadrant
Therefore, cos(190°) = Negative
B. -1200° = -120° = 240 which is in the third quadrant
Hence, tan(-1200) = tan(240) is positive
C. Sin(1200) = Sin(120) which is in the second quadrant
Hence, sin(1200) is positive
D. Sin(-890°) = Sin(190°) which is in the third quadrant
Hence, sin(-890) is negative
7. The distance from the wall where the measurement is taken = 100/(tan(30)) = 100·√3 = 173.21 m
The total height of the antenna from the ground = 173.21 × tan(45) = 100·√3 m
The total height of the antenna from the ground is 100·√3 m
The correct option is therefore;
A. 100·√3 m
8. The coordinates of the point of intersection of the medians is given by the relation;
[tex]Centroid = \left (\dfrac{x_{1}+x_{2}+x_{3}}{3} , \dfrac{y_{1}+y_{2}+y_{3}}{3} \right )[/tex]
Where:
x₁, y₁ x₂, y₂, x₃, y₃ are the coordinates of the vertices
We therefore have;
[tex]Median \, point= \left (\dfrac{(-2) +(-2)+(-4)}{3} , \dfrac{3+(-7)+5}{3} \right ) = \left (\dfrac{-8}{3} , \dfrac{1}{3} \right )[/tex]
9. The perimeter of the rhombus = 4×√(First diagonal)/2)
[tex]The \, perimeter \, of \, the \, rhombus = 4\times \sqrt{\left (\dfrac{First \, diameter}{2} \right )^{2}+ \left (\dfrac{Second \, diameter}{2} \right )^{2}}[/tex]
[tex]= 4\times \sqrt{\left (\dfrac{16}{2} \right )^{2}+ \left (\dfrac{30}{2} \right )^{2}} = 68 \ unit[/tex]
The correct option is A. 68 unit
10. The exterior angle of a regular polygon > 180°, therefore, the correct option is A. 150
You sold a total of 22 tickets to the baseball game. 9 tickets were adult tickets. How many student tickets were sold?
Answer:
13 tickets
Step-by-step explanation:
Answer:
33 is the answer
Step-by-step explanation:
Gavin was thinking of a number. Gavin halves the number and gets an answer of 34.3. Form an equation with x as information.
Gavin's number is 68.6
Equation: 1/2(x) = 34.3
Use inverse operations on both sides.
1/2(x) = 1x or x = 34.3(2)
34.3(2) = 68.6
Thus, x equals 68.6
Gavin's number is 68.6.
What is multiplication?
In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life
here, we have,
Gavin halves the number and gets an answer of 34.3.
now, we get,
Equation: 1/2(x) = 34.3
Use inverse operations on both sides.
1/2(x) = 1x
or x = 34.3(2)
i.e. 34.3(2) = 68.6
Thus, x equals 68.6.
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Davita works at a shoe store. She measured the feet of nine customers and found that their shoe sizes were 4, 5, 5, 6, 7, 8, 8, 10, 10. Find the sum of the absolute deviations from the mean and the mean absolute deviation. Explain how you found the MAD.
Answer:
Sum of absolute deviation = 16
MAD = 1.78
Step-by-step explanation:
Given the following data:
X = 4, 5, 5, 6, 7, 8, 8, 10, 10
Absolute deviation from the mean means how each value in X deviates from the mean of the data without considering if the difference is positive or negative. Therefore, the absolute value is recorded and all deviations are recorded as positive.
Absolute deviation from the mean :
Mean of data (u) = (sum of data / number of observations)
( 4 + 5 + 5 + 6 + 7 + 8 + 8 + 10 + 10) / 9
= 63/9
= 7
Absolute deviation = ( x - u)
Sum of absolute deviation ;
|4-7| + |5-7| + |5-7| + |6-7| + |7-7| + |8-7| + |8-7| + |10-7| + |10-7|
3 + 2 + 2 + 1 + 0 + 1 + 1 + 3 + 3 = 16
Mean absolute deviation(MAD) ;
SUM OF ABSOLUTE DEVIATION / N
Where N = number of observations
MAD = 16/9 = 1.78
Use the drop-down menus to complete each equation so the statement about its
solution is true
CLEAR
CHECK
No Solutions
7 - 5+32 – 1=_ x +_
One Solution
7 - 5+32 – 1= _x+_
Infinitely Many Solutions
7-5+32 – 1 = _x+_
Answer:
1.3x+9
2.1x+4
3.3x+1
Step-by-step explanation:
Given the functions below, find (f - g) (2).
f(x)
x2 + 3
g(x) = 4x – 3
=
Answer:
(f - g)(2) = 2
Step-by-step explanation:
Given the functions below, find (f - g) (2).
f(x) = x² + 3
g(x) = 4x – 3
(f - g)(x) = (x²+3)-(4x-3)
(f - g)(x) = x²+3-4x+3
(f - g)(x) = x²-4x+6
(f - g)(2) = (2)²-4(2)+6
(f - g)(2) = 4-8+6
(f - g)(2) = 2
Evaluate sin2 (pi/4) + cos2 (pi/4).
Answer:
[tex]sin^2(\pi/4)+cos^2(\pi/4)=1[/tex]
Step-by-step explanation:
Notice that you don't need to evaluate the actual sin and cos functions, since you are in the presence of a well known Pythagorean identity that states that this type of addition of squares for the same angle should equal 1:
[tex]sin^2(x)+cos^2(x)=1[/tex]
So, as long as the angle "x" is the same in both trig functions, this addition should render "1" (one).
Because in this case the angle involved is the same (in both cases pi/4), the identity is valid.
If f(x) = 3x + 10 and g(x) = 2x - 4, find (f-9)(x).
Answer:
work is pictured and shown
ANSWER SOON PLEASE! I WILL MARK BRANLIEST! The equation 7 x minus 10 y = 30 is written in standard form. What is the first step when writing an equivalent equation which solves for y? Add 7x to both sides of the equation. Subtract 7x from both sides of the equation. Add 30 to both sides of the equation. Subtract 30 from both sides of the equation.
Answer:
Subtract -7x from both sides
Step-by-step explanation:
You want to isolate the y term on one side of the equation
Answer:
The answer is option 2.
Step-by-step explanation:
The first step to solve for y, you have to subtract 7x on both sides in order to make y as a subject :
[tex]7x - 10y = 30[/tex]
[tex]7x - 10y - 7x = 30 - 7x[/tex]
[tex] - 10y = 10 - 7x[/tex]
Given that 2 x − 9 y = 22 Find y when x = 7
Answer:
y = (-8)/9
Step-by-step explanation:
Solve for y:
14 - 9 y = 22
Subtract 14 from both sides:
(14 - 14) - 9 y = 22 - 14
14 - 14 = 0:
-9 y = 22 - 14
22 - 14 = 8:
-9 y = 8
Divide both sides of -9 y = 8 by -9:
(-9 y)/(-9) = 8/(-9)
(-9)/(-9) = 1:
y = 8/(-9)
Multiply numerator and denominator of 8/(-9) by -1:
Answer: y = (-8)/9
Answer:
-8/9
Step-by-step explanation:
2 x − 9 y = 22
x=7
2*7-9y=2214-9y=229y=14-229y=-8y= -8/9A force of 76 N is applied to an area of 490 cm2. Calculate the pressure in N/m2. Give your answer to the nearest integer.
Answer:
Given
Hope it helps
Step-by-step explanation:
Pressure is the force per unit perpendicular area over which the force is applied
p=F/A
Where f is force and a is area
So P
= F/A
= 76N / 0.049m2
= (76/0.049) Nm2
= 76000/49
= 1551.02
Or 1551 N/m2
I will mark it as brainliest whoever has the clearest explanation
Answer:
b = 320
Step-by-step explanation:
a + b = 880
1 - 4/7 = 3/7 (restant A)
1 - 1/4 = 3/4 (restant B)
(3/7) . a = (3/4) . b
a = (7/4) . b
a + b = 880
(7/4) . b + b = 880
7b + 4b = 880 . 4
11 b = 880 . 4
b = 320
Quinn tried to evaluate an expression step by step. which step did she do wrong there is a selection for not mistake
Answer:
Quinn did not make a mistake. This is because everything she did is correct and also if we calculate the expression without doing anything she did, we see that she has the right answer.
Answer:
she didn't make any mistake
Step-by-step explanation:
She has expressed it correctly and if we calculate, the multiplication is also correct
and the Aegean Sea is located at
On the map above, the Black Sea is located at
A Letter A Letter C
B. Letter C Letter B
C Letter A Letter B
D. Letter B Letter A
Answer:
The answer to your question is C.
Step-by-step explanation:
Have a nice day :)
I bought 5 gallons of gas for 1770 what is the unit price for gas per gallon
Answer:
Brainleist!Step-by-step explanation:
1770/5 = the unti price
1770 / 5 = 354
354
[tex]solution \\ cost \: of \: 5 \: gallons \: of \: gas = 1770 \\ cost \: of \: 1 \: gallons \: of \: gas = \frac{1770}{5} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 354 \\ [/tex]
hope it helps...
good luck on your assignment
Find the common ratio for the geometric sequence for which a1=1 and a5=625
Answer:
r = 5
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r is the common ratio
Here a₁ = 1 and a₅ = 625, thus
1 × [tex]r^{4}[/tex] = 625 , so
r = [tex]\sqrt[4]{625}[/tex] = 5
The common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a geometric sequence for which:
The first term a1 = 1
and fifth term:
a5 = 625
As we know, the geometric sequence follows a certain arithmetic rule of multiplication.
The nth term of the geometric sequence is:
a(n) = arⁿ⁻¹
a1 = a = 1
a5 = ar⁵⁻¹ = 625
Take the ratios:
a/ar⁵⁻¹ = 1/625
r is the common ratio.
1/r⁴ = 1/625
r⁴ = 625
r = 5
The common ratio is 5.
Thus, the common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.
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i think of a number, multiply it by itself and then add 6 to the result
Answer:
x²+6
Step-by-step explanation:
Let the number be x
⇒ Multiplying it by itself makes x × x = x²
⇒ Adding 6 makes it x²+6
Answer:
[tex] {x}^{2} + 6[/tex]
Step-by-step explanation:
thinked number = x
multiply by itself = x *x
[tex]x \times x \\ = {x}^{2} [/tex]
add 6 =+6
[tex] {x}^{2} + 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the area of a triangle, two sides of which are 10 cm and 16 cm and the perimeter is 38 cm.
Answer:
Step-by-step explanation:
third side=38-(10+16)=38-26=12
sides are 10 cm, 12 cm , 16 cm.
2s=10+12+16=38
s=38/2=19
area=√(s(s-a)(s-b)(s-c))
=√[19(19-10)(19-12)(19-16)]
=√[19×9×7×3]
=3√391 cm²
≈59.32 cm²
Which number appears farther to the right on the number line?
what is the key vocabulary of cubic functions
Answer:
Hope it helps!
Step-by-step explanation:
The general form of a cubic function is y = ax3 + bx + cx + d where a , b, c and d are real numbers and a is not zero. We can graph cubic functions by plotting points.
A cubic function is any function of the form y = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants, and a is not equal to zero, or a polynomial functions with the highest exponent equal to 3. These types of functions are extremely prevalent in applications involving volume.
Credits;
Graphs of Cubic Functions (solutions, examples, videos)
Cubic Function: Definition, Formula & Examples - Video & Lesson
4(2x-6)*3(x-3)=0
please please please please answer to my question
Answer:
8(x-9)(x-3)
Step-by-step explanation:
First expand the expression:
4(2x-6) x 3(x-3) = (8x-24) x (x-9)
Now use distribution method top multiply the 2 brackets:
8x^2 - 72x - 24x + 216
simplify:
8x^2 - 96x +216.
You can factorize this:
8(x-9)(x-3)
Hope this helps
Good Luck
Answer:
Step-by-step explanation:
How do you use percent to convert numbers
Answer:
percent is 1/100
you just multiply the percentage value by 1/100 to find its value
If for example you are taking 20% of 500, then 20*500/100= 100 is the answer
PLEASE HELP FOR A BRAINLIEST!!!! Create your own example and explain how to solve Quadratic Equation using Quadratic Formula. What part in the Quadratic Formula is the discriminant and how do you know the number of solutions based on the value of the discriminant? Pls pls help I need YALLS brains
Step-by-step explanation:
1. Create your own example and explain how to solve Quadratic Equation using Quadratic Formula.
The quadratic formula is used to solve quadratic equations. It is shown as [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
A quadratic equation is generally shown in the form of [tex]ax^{2} +bx + c = 0[/tex]
For example, if you saw the equation [tex]7x^{2} + 3x + 20 = 0[/tex]
7 would be [tex]a[/tex], 3 would be [tex]b[/tex], and 20 would be [tex]c[/tex].
To solve the equation above, you would fill in the quadratic formula as such, [tex]x=\dfrac{-3\pm\sqrt{(3)^2-4(7)(20)}}{2(7)}[/tex]
Then you could solve for x.
2. What part in the Quadratic Formula is the discriminant?
The discriminant is the equation under the square root on the quadratic formula, [tex]b^{2} - 4ac[/tex]
It is tells us whether there are two solutions, one solutions, or no solutions.
3. How do you know the number of solutions based on the value of the discriminant?
To know the number of solutions based off of the value of the discriminant, you need to plug in your values. Using the example quadratic equation, [tex]7x^{2} + 3x + 20 = 0[/tex]
We will plug the values into the discriminant.
[tex]3^{2} - 4(7)(20) = -551[/tex]
Now, if the discriminant is positive it has two real solutions. If the discriminant is zero the equation has no real-number solutions. And finally, if the discriminant is negative, the equation has one real solution. Because our discriminant is -551, the example equation has one real solution.
Hope this helps! (Please consider Brainliest)
what is i^84? a) -i b) i c) -1 d) 1
Answer:
D) 1
Step-by-step explanation:
When you start raising i to certain powers, you begin to notice a pattern.
[tex]i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1[/tex]
This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!
Answer: 1
Step-by-step explanation:
Sophia packed a right rectangular prism with 210 unit cubes. If Mia multiplied the edge lengths of the same prism to find the volume, what should her answer be in cubic units?
Answer:
The answer should be 210 unit cubes.
Step-by-step explanation:
The volume of a rectangular prism is given by the following expression:
[tex]volume = length*width*height[/tex]
In words, it is the product of its edge lengths. If the prism was packed with 210 unit cubes, then this must be equal to its volume, so by multiplying the edge lengths the result should be equal to 210 unit cubes.
can u please simplify this algebra sum 5m-m-m+3m
Answer:
6m
Step-by-step explanation:
Answer:
6m
Step-by-step explanation:
=5m-2m+3m
=3m+3m
=6m
HOPE IT HELPS❤️
what is the linear function ?
Answer:
f(x)= 5x+2
Step-by-step explanation:
Slope is 5, y intercept is (0,2)
In this set of pairs of (x,y) numbers, y is directly proportional to x
Complete the following (2,3) (5,7.5) (6, ?) (?,13.5) (?,?)
What is the constant of proportionality k if y = kx?
Answer:
(6, 9) (9, 13.5) (10, 15) and k = 1.5
Step-by-step explanation:
We can plug the given points into the equation y = kx
3 = k(2)
1.5 = k (constant of proportionality)
Then, we can use this to complete the other pints.
y = 1.5(6)
y=9, so (6, 9)
13.5 = 1.5(x)
9 = x, so (9, 13.5)
If we follow the pattern, the last point should be (10, 15)
Andy left a 15% tip for a meal that cost $38. What was the total cost of the meal including the tip? whit solution
Answer:
Your Answer is $43.7
Step-by-step explanation:
Take the initial $38 and Multiply it by the .15 (15%) tip
You get a $5.7 tip
Add that to the meal cost of $38 and you get $43.7
Pls help me. The one with the symbol are the answer choices for the questions
Answer:
∈
Step-by-step explanation:
∈ symbol indicates the data set on the left side is fully included in the data set on the right side
nine business associates share $736800 from the sale of their company calculate to the nearest count how much they each receive
Step-by-step explanation:
1 business = 736800 ÷ 9 = 81866.66
Each business associates 81866.66