Answer:
C
Step-by-step explanation:
[tex]\frac{10}{a} =sin 60\\a=\frac{10}{sin~60}\\=\frac{10}{\frac{\sqrt{3} }{2} } \\=\frac{20}{\sqrt{3}} \times\frac{\sqrt{3}}{\sqrt{3}} \\=\frac{20 \sqrt{3}}{3}[/tex]
The length of a rectangle is 3 less than twice the width. If the area of the rectangle is 20 square inches, what are the dimensions of the rectangle?
Answer:
length is 5
width is 4
Step-by-step explanation:
National statistics show that 23% of men smoke and 18.5% of women smoke. A random sample of 175 men indicated that 45 were smokers, and a random sample of 155 women surveyed indicated that 42 smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers.
Answer:
98% C.I. = [-0.1270, 0.0994]
Step-by-step explanation:
Here
p1= proportion of men smokers
p1= 45/175= 0.2571
p2= proportion of women smokers
p2= 42/155= 0.2709
1) Choose the significance level ∝= 0.02
2) The formula for confidence interval is
(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
and
(p1^- p2^) z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
3) The z value is 2.05
4) Calculations:
(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
Putting the values
= 0.2571-0.2709)(-2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)
=-0.1270 ( using calculator)
And
(p1^- p2^)z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
Putting the values
= 0.2571-0.2709)(2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)
=0.0994 ( using calculator)
and Putting ± 2.05 in the confidence interval formula we get limits (-0.1270, 0.0994)
Best answer gets brainliest.
Answer:
20 ft
Step-by-step explanation:
the 6 ft persons shadow was reduced by a factor of 4 for the flagpole shadow being 5 ft long just multiply by 4 to get 20 because 20/4=5
Each side of a square piece of plastic is 2 centimeters long. What is the piece of plastic's area?
Answer:
4cm because area is length times width
Step-by-step explanation:
Answer:
4 cm2
Step-by-step explanation:
[tex]area = side {}^{2} = (2cm) {}^{2} = 4cm {}^{2} [/tex]
What is the value of x
Answer:
x = 9
y = 5
Step-by-step explanation:
<N and < M are opposite equal sides. So they are equal as well. In addition, the base is equal to the other 2 sides. That means you are dealing with an equilateral triangle. All the angles are equal to 60 degrees.
7x - 3 = 60 degrees Add 3 to both sides
3 3
7x = 63 Divide by 7
x = 63/7
x = 9
Just for the sake of completeness, we'll find y
11y + 5 = 60 Subtract 5 from both sides
-5 -5
11y = 55 Divide by 11
y = 55 /11
y = 5
My cats thoughts while she is just laying there with her face in my clothes:
Answer:
ADORABLE!!
Step-by-step explanation:
Answer:
lol true thats a fact
5/25 convert into a decimal
Answer:
0.2
Step-by-step explanation:
5/25 as a decimal is 0.2.
1/5=0.2
just reduce it to 1/5 and divide it into a decimal
What is the volume, in cubic feet, of the cylinder below?
6 ft
8 ft
Answer:
226.1946711 cubic ft
Step-by-step explanation:
volume of cylinder = πr²h
diameter (d)=6ft
r= d/2 = 6/2=3ft
h= 8ft
putting all values in the formula and calculating the volume
[tex]3 {x}^{2} - 5x = 2[/tex]
[tex]3x^2-5x=2[/tex]
☁ Answer:[tex]x=2[/tex]☁ Solution:[tex]3x^2-5x=2[/tex][tex]3x2-5x-2=2-2[/tex][tex](3x+1)(x-2)=0[/tex][tex]3x+1=0[/tex][tex]x=2[/tex]☁ 좋은 하루 되세요!! ☁ -HunnyPeachywhat's the equation of the parabola in intercept form
Answer:
( o ,-1 ) y- intercept
( 2 , - 1 ) extra point
Step-by-step explanation:
ax2+bx+cy=ax2bx2
How can I get someone to stop holding a grudge and mocking me at practice. I would really appreciate the help.
Answer: Well first find out why that person is mocking you or holds a grudge against you. Try talking to that person. If that doesn't work, get a friend to help. To be honest, you can also always just ignore that person, there are many mean people out there.
Step-by-step explanation:
The value of x is 1. Find the value of each expression and type
the expressions in the table from least to greatest:
1-X
X-1
-1 + x
I
1st
2nd
3rd
4th
Answer:
can I get a hiaaa
How was the government able to make children go to residential school?
please help me this is due tonight and i am NOT good at math :(
Answer:
AC = 8.2 m
AD = 8.57 m
Step-by-step explanation:
The answers were rounded to the nearest hundredth, hope this helps!
En un salon de una academia solo asisten a un examen los 3/4 de los alumnos y de estos aprueban los 4/5 ; si los desaprobados son 21 ¿cuantos alumnos hay en dicha aula?
Answer:
Hay 140 alumnos en dicha aula.
Step-by-step explanation:
Primero, debes encontrar la cantidad de alumnos que aprobaron que corresponde a 4/5 usando una regla de tres teniendo en cuenta que sabes que 1/5 corresponde a 21 que son los estudiantes que no aprobaron:
1/5 → 21
4/5 → x
x=(4/5*21)/1/5
x=(84/5)/(1/5)
x=84*5/5*1
x=420/5
x=84
Ahora, puedes sumar el número de estudiantes que aprobaron con el número de estudiantes que no aprobaron para encontrar el total que estudiantes que asistieron al examen:
84+21=105
Después, dado que sabes que 105 estudiantes corresponde a 3/4 de los alumnos en un aula, puedes usar una regla de tres para encontrar el número de estudiantes en el aula:
3/4 → 105
1 → x
x=(1*105)/(3/4)
x=(105/1)/(3/4)
x=105*4/1*3
x=420/3
x=140
De acuerdo a esto, la respuesta es que hay 140 alumnos en dicha aula.
A baker needs 40 fluid ounces of milk for a chocolate cake recipe and 64 fluid ounces of milk for a carrot cake recipe. How many cups of milk does the baker need for the carrot cake and the chocolate cake recipes combined?
Answer:
104 ounces
Step-by-step explanation:
40+64= 104
.......
Choose the polynomial that is written in standard form.
−3x5 + 4x3 + 10x2
−8x + 4x4 + 3x3
x4 + 4x3 + 10x4
x6 + 4x3 + 10x7
Answer:
A. −3x⁵ + 4x³ + 10x²Step-by-step explanation:
The standard form means that the terms are ordered from biggest exponent to lowest exponent.Verify the answer options
A. −3x⁵ + 4x³ + 10x²
5, 3, 2 - correct orderB. −8x + 4x⁴ + 3x³
1, 4, 3 - incorrect orderC. x⁴ + 4x³ + 10x⁴
4, 3, 4 - incorrect orderD. x⁶ + 4x³ + 10x⁷
6, 3, 7 - incorrect orderAnswer:
[tex] { - 3x}^{5} + {4x}^{3} + {10x}^{2} [/tex]
Step-by-step explanation:
For a polynomial to be in standard form, it must satify the conditions below:
1) It must not contain like terms
2) The exponents (powers) must be written in descending order
That is, the polynomial must be of the form
[tex]f(x) = {ax}^{n} + {bx}^{n - 1} + {cx}^{n - 2} + . \: . \: . \: . \: . \: mx + n[/tex]
Where a, b, c, m, n, are coefficients/constants
The only option that satifies the above conditions, and follows the pattern f(x) shown is:
[tex]{ - 3x}^{5} + {4x}^{3} + {10x}^{2} [/tex]
Which of the following transformations result in the object and image being congruent?
A Reflection B Rotation C Enlargement D Translation
Answer:
B) Rotation will result in the object and image being congruent.
Answer:
C Enlargement
Step-by-step explanation:
enlargement because it becomes wider and larger
What do you notice when you look at the table of
values?
Pattern
Step-by-step explanation:
I know there's a pattern but there's a cutie watching this rn hey lol
Brian ate 2/3 of a pizza. His friend, Joseph, ate 1/4 of what was left. How much pizza did Joseph eat?
Answer:
1/12
Steps:
1 - 2/3 = 1/3
1/3 / 4 = 1/3 × 1/4 = 1/12
Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.
Answer:
3x + 2 = 3
Step-by-step explanation:
3x + 2 = 3 Subtract 2 from both sides
3x = 1 Divide both sides by 3
x = 1/3
Yes or no? I need help please ✋
Answer:
It is not a function
Step-by-step explanation:
In function, each x-value has only one y-value
Here the x-value of 7 has two y-values of -3 and -1
The cable company charges $95 a month plus a $45 set up fee. If Mason has paid $615 for n number
of months, how many months did he pay for?
Answer:
6 months
Step-by-step explanation:
615=95n+45
-45 from 615 =570
570=95n
divide both side by 95
Answer:
6 Months
Step-by-step explanation:
95 x 6 is 570. If you add the set up fee, it comes down to 615 dollars.
Hope this helps! Have a great rest of your day/night. :)
Please I need help with this! Answer it and I’ll MARK YOU BRAINLEST
Answer:
125, 20
Step-by-step explanation:
Answer:
1.95
Step-by-step explanation:
X= 10
2×10squared(10-5)/ 10×10
2×100-5/10×10
200-5/10×10
195/10×10
195/100
1.95
Given the diagram, solve for x?
HELP PLEASE! QUICK AND EASY POINTS! USE THE IMAGE PROVIDED!!
If you are taking a test at 8:30 am and it takes you 2 1/2 hours what time would it be? PLEASE ANSWER
Answer:
11:00
Step-by-step explanation:
This is easier than I thought...
So 8:30+2 is 10:30
...and now we have 1/2 left.
1/2 in this case of time would be 30
So, 10+30+30 would be 10:60
Now all we have to do is simplify it
60 minutes= 1 hour
So...
10:60-60=10
10+1=11
11 AM is the correct answer!
Hope this helps! :D
Question 2 (10 points)
Classify <1 and < 2 using all names that apply.
a Vertical
b Adjacent
C Complementary
d Supplementary
Answer:
B. adjacent and D. supplementary
Find the value of x. Round to the nearest tenth
Answer:
54.8 (rounded to the nearest tenth from 54.76558202)
Step-by-step explanation:
Using the Cosine equation (CAH) you type in a calculator "cos(x) = 4.5/7.8".
This will get you the answer if typed in a calculator and hitting "SOLVE".
Simplify the expression
Answer:
(3 x)/(5 x + 2)
Step-by-step explanation:
Simplify the following:
(3 x^2)/(5 x^2 + 2 x)
Hint: | Factor common terms out of 5 x^2 + 2 x.
Factor x out of 5 x^2 + 2 x:
(3 x^2)/(x (5 x + 2))
Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).
Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):
(3 x^(2 - 1))/(5 x + 2)
Hint: | Evaluate 2 - 1.
2 - 1 = 1:
Answer: (3 x)/(5 x + 2)
Answer:
The answer is [tex]\frac{3x}{5x+2}[/tex]
Step-by-step explanation:
1) Factor out the common term x.
[tex]\frac{3x^{2} }{x(5x+2)}[/tex]
2) Simplify.
[tex]\frac{3}{5x+2}[/tex]
Thereofor, the answer is Option D.
Can you help me (There's a photo) you have to do grater then and = to
Answer:
Top left: > Top right: > Bottom left: < Bottom right: >
Step-by-step explanation:
Answer:
-0.25 > -0.3
9.999 > 9.975
3(5/8) < 30/8
10(2/3) < 61/6