Answer:
Cos(π/2 - θ) = A
Step-by-step explanation:
We know that:
Sin(θ) = A
And we want to find the value of Cos(π/2 - θ)
Here we can use the cosine relationship:
Cos(a - b) = Cos(a)*Cos(b) + Sin(A)*Sin(B)
Then:
Cos(π/2 - θ) = Cos(π/2)*Cos(θ ) + Sin(π/2)*Sin(θ)
We know that:
Cos(π/2) = 0
Sin(π/2) = 1
Then:
Cos(π/2 - θ) = Cos(π/2)*Cos(θ ) + Sin(π/2)*Sin(θ) = 0*Cos(θ ) + 1*Sin(θ)
= 1*Sin(θ) = A
Cos(π/2 - θ) = A
Help please !! due in 1 hour
please help me i really need help please
Answer:
d
Step-by-step explanation:
Dr. Toliver has 6 fossils.
Dr. Cook has 5 times as many fossils as Dr. Maranan.
They have 90 fossils altogether. How many fossils does Dr. Maranan have?
Copyright 2020 Edmentum, Inc. All Rights Reserved
(hp
Answer:
dude 30 fossils are left
Step-by-step explanation:
A farmer claims that the average mass of an apple grown in his orchard is 100g. To test this claim, he measures the mass of 150 apples that are grown in his orchard and determines the average mass per apple to be 98g. The results are calculated to be statistically significant at the 0.01 level. What is the correct interpretation of this calculation?
A. The data are not statistically significant at the 0.05 level.
B. The mean mass of any 150 apples grown in the farmer's orchard is 98g.
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
D. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is 98g.
Answer:
C. At the 0.01 level of significance, the mean mass of the apples grown in the farmer's orchard is different from 100g.
Step-by-step explanation:
The null hypothesis is:
[tex]H_{0} = 100[/tex]
Because of the claim of the farmer.
The alternate hypothesis is:
[tex]H_{1} \neq 100[/tex]
The alternate hypothesis tests the farmer's claim at a significance level.
The results are calculated to be statistically significant at the 0.01 level.
This means that at the 0.01 level, the null hypothesis is rejected, that is, the mean mass of the farmer's orchard is different from 100. Since it is significant at the 0.01 level, it will be significant at the 0.05, 0.1, and increasing levels. So the correct answer is given by option C.
What is the point-slope form of a line with slope 3/2 that contains the point
(-1, 2)?
Answer:
A. (y - 2) = 3/2 ( x + 1)
Explanation:
The point-slope formula is ( y - y1) = m ( x - x1). Just distribute the given where m is 3/2, x1 = - 1 and y1 = 2.
What is the area of the triangle?
In a room at a museum, we want to tile the floor. If the floor measures 15 feet by 55 feet, what is the largest-size square tile that we can use to tile the floor without having to cut tiles?
A) 11 ft by 11 ft
B) 5 ft by 11 ft
C) 5 ft by 3 ft
D) 3 ft by 3 ft
E) 11 ft by 3 ft
F) 5 ft by 5 ft
Answer:
B. 5 foot by 11 foot
the numbers have to be divisible in both directions.
11x11 doesn't work, because at 15 feet wide one tile isn't wide enough, and 2 is too wide.
5x11 works- 3x5= 15 and 11x5=55. you'd use 15 tiles.
the rest are all smaller.
Find the length of the side and area of the square who perimeter is given below
(a) 44 cm
Answer:
Side length:11
Area: 121
Step-by-step explanation:
if its a square all sides should be equal so you can divide 44 by 4 which gives you 11 and then to find area you just multiply the two sides together which would be 11x11 and that equals 121
I'm pretty sure this is what it would be but it also seems over simplified and i might be missing something?
Assume that when adults with smartphones are randomly selected, 64% use them in meetings or classes. If 5 adult smartphone users are randomly selected, find the probability that exactly 3 of them use their smartphones in meetings or classes. The probability is (Round to four decimal places as needed.)
Answer:
[tex]P(3) = 0.3397[/tex]
Step-by-step explanation:
The given details represent binomial distribution. So, we have:
[tex]n = 5[/tex]
[tex]p = 64\% = 0.64[/tex]
Required
Calculate P(3)
This is calculated using:
[tex]P(x) = ^nC_x * p^x * (1- p)^{n-x}[/tex]
This gives:
[tex]P(3) = ^5C_3 * 0.64^3 * (1- 0.64)^{5-3}[/tex]
[tex]P(3) = 10 * 0.64^3 * 0.36^2[/tex]
[tex]P(3) = 0.3397[/tex]
100 POINTS!!!!!
Two cylinders are similar with diameters 6 in and 9 in.
a. Find the ratio of the circumference of their bases
b. Find the ratio of the surface areas.
c. Find the ratio of the volumes.
Answer:
a. Ratio of their circumference = 2:3
b. The ratio of their surface areas = 2:3
c. The ratio of their volume = 4:9
Step-by-step explanation:
Let the cylinders be labelled as A and B respectively.
Diameter of cylinder A = 6 in,
its radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{6}{2}[/tex] = 3 in
Diameter of cylinder B = 9 in,
its radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{9}{2}[/tex] = 4.5 in
Thus,
a. circumference of a circle = 2[tex]\pi[/tex]r
Circumference of cylinder A = 2[tex]\pi[/tex]r
= 2 x [tex]\pi[/tex] x 3
= 6[tex]\pi[/tex] in
Circumference of cylinder B = 2[tex]\pi[/tex]r
= 2 x [tex]\pi[/tex] x 4.5
= 9[tex]\pi[/tex]
Ratio of their circumference = [tex]\frac{circumference of cylinder A}{circumference of cylinder B}[/tex]
= [tex]\frac{6\pi }{9\pi }[/tex]
= 2:3
b. The surface area of a cylinder = 2[tex]\pi[/tex]rh
the surface area of cylinder A = 2[tex]\pi[/tex]rh
= 6[tex]\pi[/tex]h
the surface area of cylinder B = 2[tex]\pi[/tex]rh
= 9[tex]\pi[/tex]h
The ratio of their surface areas = [tex]\frac{surface area of cylinder A}{surface area of cylinder B}[/tex]
= [tex]\frac{6\pi h}{9\pi h}[/tex]
= 2:3
c. Volume of a cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h
volume of cylinder A = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\pi[/tex] x [tex]3^{2}[/tex] x h
= 9[tex]\pi[/tex]h
volume of cylinder b = [tex]\pi[/tex][tex]r^{2}[/tex]h
= [tex]\pi[/tex] x [tex]4.5^{2}[/tex] x h
= 20.25[tex]\pi[/tex]h
The ratio of their volume = [tex]\frac{volume of cylinder A}{volume of cylinder B}[/tex]
= [tex]\frac{9\pi h}{20.25\pi h}[/tex]
= 4:9
d=6in,9in
r=3in,4.5in
circumference:-
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1}{2\pi r_2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6\pi}{9\pi}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 2:3[/tex]
LSA:-
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1h}{2\pi r_2h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6}{9}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 2:3[/tex]
TSA
[tex]\\ \sf\longmapsto \dfrac{2\pi r_1(h+r_1)}{2\pi r_2(h+r_2)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6(h+6)}{9(h+9)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6h+36}{9h+81}[/tex]
[tex]\\ \sf\longmapsto \dfrac{h(6+36)}{h(9+81)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{42}{90}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7}{15}[/tex]
[tex]\\ \sf\longmapsto 7:15[/tex]
Volume:-
[tex]\\ \sf\longmapsto \dfrac{\pi r_1^2h}{\pi r_2^2h}[/tex]
[tex]\\ \sf\longmapsto \dfrac{3^2}{4.5^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{9}{20.25}[/tex]
[tex]\\ \sf\longmapsto 4:9[/tex]
John wants to earn $30. He already has $12. What percent is he at his goal?
Answer:
40%
Step-by-step explanation:
40%
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hope it helps
I don't really know how to explain sorry
PLEASE HURRY I WILL GIVE BRAINLEST Choose the equation that correctly shows the Commutative Property of Multiplication.
Answer:
You have it correct, it is the 3rd one.
Step-by-step explanation:
The commutative property is the equation, flip-flopped. So, if you had 1+8 = 8+1, that would be right.
Answer:
3rd one.....
Step-by-step explanation:
What value of b completes the function f(x)=-x^2+bx+1?
Answer:
Step-by-step explanation:
It is hard to guess the coordinates of any points, because the graph doesn't go through any intersections of the grid.
Fortunately, I can tell that the axis of symmetry is x=2.
Put the equation into vertex form by completing the square.
axis of symmetry = b/2
b/2 = 2
b = 4
Genesis has an action figure collection. She keeps some in a display case and the rest on the wall. 253 of her action figures are on the wall, and 45% of her action figures are in the display case. What is the total number of action figures in Genesis's collection?
Answer:460
Step-by-step explanation:on delta math
The total number of action figures in Genesis's collection will be 460.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Genesis offers a variety of action figures. She hangs the remainder and keeps some in a display cabinet. 253 of her action figures are hung on the wall, and the display case holds 45% of her collection.
The obtained expression for the given condition,
=253 / (1-0.45)
=253/0.55
=25300/55
=460
Thus, the total number of action figures in Genesis's collection will be 460.
Learn more about the arithmetic operation here:
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giving brainliest *easy*
Step-by-step explanation:
The formula is given by :
[tex]s=\dfrac{m}{360}\times 2\pi r[/tex]
We have,
m = 19° and d = 9 cm
So,
[tex]s=\dfrac{19}{360}\times 2\pi \times \dfrac{9}{2}\\\\s=1.49[/tex]
Hence, this is the required soltion.
Suspecting that television repair shops tend to charge women more than they do men, Emily disconnected the speaker wire on her portable television and took it to a sample of 12 shops. She was given repair estimates that averaged $85, with a standard deviation of $28. Her friend John, taking the same set to another sample of 9 shops, was provided with an average estimate of $65, with a standard deviation of $21. Assuming normal populations with equal standard deviations, What is the the pooled estimate of the common variance with the 0.05 level
Answer:
The pooled estimate of the common variance is approximately 639.59
Step-by-step explanation:
The given parameters are;
The number of shops Emily visited, n₁ = 12 shops
The average repair estimate Emily was given, [tex]\overline x_1[/tex] = $85
The standard deviation of the estimate Emily was given, s₁ = $28
The number of shops John visited, n₂ = 9 shops
The average repair estimate John was given, [tex]\overline x_2[/tex] = $65
The standard deviation of the estimate John was given, s₂ = $21
The pooled estimate of the common variance, [tex]s_p^2[/tex], is given as follows;
[tex]s_p^2 = \dfrac{(n_1 - 1)\cdot s_1^2+(n_2 - 1)\cdot s_2^2}{n_1 + n_2-2}[/tex]
[tex]\therefore s_p^2 = \dfrac{(12 - 1)\cdot 28^2+(9 - 1)\cdot 21^2}{12 + 9-2} = 639.578947368[/tex]
∴ The pooled estimate of the common variance, [tex]s_p^2[/tex], ≈ 639.59
Which expression below is equivalent to -2(5x-8)?
-10x+16
-10x-8
3x-10
3x-8
-2(5x-8)
-10x+16
So A.
---
hope it helps
someone help meee nowww pleasee
Answer:
149.28 m²
Step-by-step explanation:
Bottom and two sides of the rectangle: 3x4x6=72
Two square ends of the rectangle: 2x4x4=32
Two triangular sides of the prism: 2x1/2x2x6=12
Back of prism: 2x4=8
Top of prism: 4x6.32=25.28
72+32+12+8+25.28=149.28
What is the Median of this data set: 6, 10, 12, 5, 16, 11.
Answer: 10.5
Step-by-step explanation:
The median is the middle number in a data set, so in this set 5,6,10,11,12,16
the mean of 10 and 11 would be the median.
What is the answer and the work i have to do to get to it
Answer:
B
Step-by-step explanation:
PLEASE HELP DUE TODAYYYY ..100 PTS!
Answer:
i got 65.8/9. i hope this is correct , if not, i wish you the besy<3
Answer:
62.7
Step-by-step explanation:
helpp me plzzzzzz plzz
Answer:
I would help but I don’t know what all of those symbols are.
(2,2) and (2,-2) slope?
Answer:
Undefined.
Step-by-step explanation:
Slope is equal to the change in y over the change is x, or rise over run.
[tex]m=\frac{change in y }{ change in x}[/tex]
The change in x is equal to the difference in x-coordinates, and the chnage in y is equal to the difference in y-coordinates.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substitute in the values of x and y into the equation to find the slope.
[tex]m= \frac{-2-(2)}{2-(2)}[/tex]
Simplify it. since -2-(2) and 2-(2) = nothing, the Slope is Undefined.
Hence, the slope is Undefined.
Answer:
Undefined
Step-by-step explanation:
Hope this helps
Darren had 20 minutes to do a three-problem quiz. He spent 11
7
10
minutes on question A and 4
2
5
minutes on question B. How much time did he have left for question C?
Answer:
He had 5 minutes left for question C.
Step-by-step explanation:
20 minutes to do the quiz.
He spent:
11 minutes on question A
4 minutes of question B.
So, for the first 2 questions, he used 15 minutes.
How much time did he have left for question C?
Total of 20 minutes, in the first two questions he used 15. So
20 - 15 = 5
He had 5 minutes left for question C.
3^2x+1 +9 = 3^x+3 +3^3
Answer:
-4
Step-by-step explanation:
Since they all have the same base;
2x+1+9=x+3+32x-x=3+3-1-9x=6-1-9x=6-10x=-4Which expression is equivalent to tan(x – pi)?
Answer:
it's b
Step-by-step explanation:
correct on edge!
The equivalent expression is tanx.
We have given that,
tan(x – pi)
We have to determine the expression equivalent to the given expression
What is the tan ratio?tan(x)=sinx/cosx
[tex]=\frac{\sin \left(x\right)}{\cos \left(x\right)}[/tex]
[tex]=\tan \left(x\right)[/tex]
Therefore the equivalent expression is tanx.
To learn more about the equivalent expression visit:
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The following tables represent a function and its inverse.
Compare the functions.
h(x)
Which statements describe the functions? Check all
that apply.
х
-4
-2
0
N
4
y
-6
1
6
11
16
The domain of h-1(x) is the range of h(x).
The range of h-l(x) is the range of h(x).
The x-intercept of h-1(x) is the x-intercept of h(x).
The x-coordinate of the x-intercept of h-1(x) is the y-
coordinate of the y-intercept of h(x).
The maximum of h(x) is the largest x-value of
h-4(x).
х
1
6.
11
16
y
-4
-2
0
2
4.
Intro
Answer:
These are all that apply
- The domain of h-1(x) is the rand of h(x)
- The x-coordinate of the x-intercept of h-1(x) is the y- coordinate of the y-intercept of h(x).
- The maximum of h(x) is the largest x-value of h-4(x).
Step-by-step explanation:
The correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given are the functions. It is asked to identify the statements that describe these functions.
The given functions are h(x) and its inverse h⁻¹(x). For the given functions, as we can see in the table, the following statements are true -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).Therefore, the correct statements describing the given functions are -
The domain of h⁻¹(x) is the range of h(x).The x-coordinate of the x-intercept of h⁻¹(x) is the y- coordinate of the y-intercept of h(x).The maximum of h(x) is the largest x-value of h⁻¹(x).To solve more questions on functions, visit the link below-
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Which three lengths can NOT be the lengths of the sides of a triangle?
A.23 m, 17 m, 14 m
B. 5m, 7m, 8m
C. 21m, 6m, 10m
D.11 m, 11 m, 12 m
Answer:
C. 21m, 6cm, 10m
Step-by-step explanation:
4+5[tex]4+5\frac{x}{y} 3x^{2} - 3x^{2}[/tex]
Answer:
[tex]58 + \frac{ {15x}^{3} }{y} - {3x}^{2} [/tex]
Step-by-step explanation:
1) Use this rule: a/b × c/d = ac/bd.
[tex]4 + 54 + \frac{5x \times {3x}^{2} }{y} - {3x}^{2} [/tex]
2) Take out the constants.
[tex]4+54 + \frac{(5 \times 3) {xx}^{2} }{y} - {3x}^{2} [/tex]
3) Simplify 5 × 3 to 15.
[tex]4 + 54 + \frac{ {15xx}^{2} }{y} - {3x}^{2} [/tex]
4) Use the product rule: x^a x^b = x^a + b.
[tex]4 + 54 + \frac{15xx^{2} }{y} - 3x^{2} [/tex]
5) Simplify 1 + 2 to 3.
[tex]4 + 54 + \frac{15 {x}^{3} }{y} - {3x}^{2} [/tex]
6) Collect like terms.
[tex](4 + 54) + \frac{15 {x}^{3} }{y} - {3x}^{2} [/tex]
7) Simplify.
[tex]58 + \frac{ {15x}^{3} }{y} - {3x}^{2} [/tex]
Therefor, the answer is 58 + 15x³ / y - 3x².
The straight-line distance between the points is ___ units, rounded to the nearest tenth.
Answer:
The straight-line distance between the points is approximately 8.6.
Step-by-step explanation:
The straight-line distance ([tex]d[/tex]) between the points is determined by the following Pythagorean identity:
[tex]d = \sqrt{x^{2}+y^{2}}[/tex] (1)
Where:
[tex]x[/tex] - Horizontal distance between the points.
[tex]y[/tex] - Vertical distance between the points.
Let consider that each square has a distance of 1 unit. If we know that [tex]x = 5[/tex] and [tex]y = -7[/tex], then the straight-line distance is:
[tex]d = \sqrt{5^{2}+(-7)^{2}}[/tex]
[tex]d \approx 8.6[/tex]
The straight-line distance between the points is approximately 8.6.