Answer:
x = 118.572091090591
Step-by-step explanation:
we are given a right triangle then
tan(16) = 34/x
then
x = 34÷tan(16)
=118.572091090591
Info :
tan(16) = 0.286745385759
Find the area of the circle that contains the sector described below. Round to the nearest tenth, if necessary.
One sector has an area of 210 square centimeters and an arc measure of 30°.
_____________ cm squared
Answer:
The area of the circle is 2520 cm²
Step-by-step explanation:
The area of an arc is given by the following formula:
arc area = pi*r²(angle/360)
In this case we have the area and the angle and we want to find r, so we have:
210 = pi*r²*(30/360)
210 = pi*r²*(1/12)
210*12 = pi*r²
pi*r² = 210*12
r² = 2520/pi
r = sqrt(2520/pi)
r = 28.3221
The area of the circle that has this arc is given by:
area = pi*r²
area = pi*(28.3221)² = 2520 cm²
evaluate 3^[-2]
extra points
Answer:
1/9
Step-by-step explanation:
[tex]3^{-2}[/tex] =1/3²=1/9
A customer deposits $500 in an account that pays 4% annual interest. What is the balance after 3 years if the interest is compounded annually? Compound interest formula: V (t) = P (1 + StartFraction r Over n EndFraction) Superscript n t t = years since initial deposit n = number of times compounded per year r = annual interest rate (as a decimal) P = initial (principal) investment V(t) = value of investment after t years
Answer:
$562.43
Step-by-step explanation:
V(3) = [tex]500 ( 1 + \frac{0.04}{1} )^{3} \\500 (1.04)^{3}[/tex]
= 562.43
The interest is $562.4 compounded annually.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earn on interest of principal.
P = $500
r = 4%
t = 3 years
CI = P( 1+ r/100)ⁿ
CI = 500 ( 1+ 4/100)³
CI = 500 ( 1+ 0.04)³
CI = 500 ( 1.04)³
CI = 500 ( 1.1248)
CI = 562.4
Hence, the interest is $562.4 compounded annually.
Learn more about Compound interest here:
brainly.com/question/25857212
#SPJ5
Find the similarity ratio of a prism with surface area 36 feet squared to a similar prism with surface area 225 feet squared
Answer: 6:15___{2:5}
The reduce it by dividing by 3.
6/3 =2.
15/3 =5.
= {2:5}
3 out of 5 students say yes if there are 105 students how many say yes
Answer:
63 students said yes.
Step-by-step explanation:
105/5= 21
21*3= 63
Answer:
C = 63
Step-by-step explanation:
We know that there are 105 students, so we will take the total amount of students and multiply by 3/5, since this is the probably rate is which say yes. in other words --> 105 * 3/5 = 63
Find the volume of the cylinder
Answer:
53 yds
Step-by-step explanation:
Volume= base*height
V= 10*3.5
V= 35
Answer:
3,141.59
Step-by-step explanation:
PLZ HELP!!! It’s timed
What is the volume of the square pyramid shown below with sides that are 12.5 m long and a height of 16 m
A square pyramid has a base with a total area of 144m^2 and a volume of 384m^3, what is the slant height of the pyramid?
Answer:
8mStep-by-step explanation:
Volume of a square based pyramid = [tex]\frac{1}{3}a^{2}h[/tex] where;
a² is the base area of the pyramid since it is square shaped
h is the slant height.
Given Base area = 144m² and Volume = 384m³, on substituting this values given in the formula we have;
[tex]384 = \frac{1}{3}*144h \\cross\ multiplying\ \\384*3=144h\\h = \frac{384*3}{144} \\h = \frac{1,152}{144}\\ h = 8m[/tex]
The slant height of the pyramid is 8m
n =⟨−2, −1⟩ and D=[tex]\left[\begin{array}{cc}-3&0\\4&1\\\end{array}\right][/tex]
What is D⋅n?
Answer:
6
-9
Step-by-step explanation:
-3(-2) + 0(-1)
4(-2) + 1(-1)
6 + 0
-8 + -1
6
-9
*don't forget to add brackets on each side of every calculation okay :)
Simplify and multiply
Answer:
hahjskxncncjcickmcbfjd
When you find the surface area of a cube, you ________ the length of the cube and multiply by 6.
A-square
B-add
C-cube
D-divide
Answer:
A-square
Step-by-step explanation:
example:
sa=(4cm)^2x6
sa=16x6
sa=96
A rule for creating a pattern is given below. The rule begins with a number called the input and creates a number called the output.
Rule: Divide the input by 3. Then add 7 from the result to get the output.
Which input and output table works for the rule?
Choose 1 answer:
(Choice A, Checked)
A
Input Output
15 11
(Choice B)
B
Input Output
30 3
(Choice C)
C
Input Output
18. 13
Answer:
its c
Step-by-step explanation:
15/3 equals 5 plus 7 would be 12 so thats wrong
30/3 equals 10 plus 7 would be 17 so thats wrong
18/3 equals 6 plus 7 would be 13 so that right ergo the answer is c
f(x) = x2 – X – 1
What is the average rate of change of f over the
interval -1 < x < 1?
Answer:
4/3
Step-by-step explanation:
7 ÷ ( (-3) + 4) x (-10) - (-8) + 10
Please show work!
Answer:
The answer is attached to the picture
Answer:
-4
7 ÷ ( (-3) + 4) x (-10) - (-8) + 10
7÷1×(-10)-(-8)+10
7÷1×-2+10
7×-2+10
-14+10= -4
A store sells a coat in three sizes: small, medium and large. The coat comes in red, navy, and tan. Sales numbers are shown in the table.
Find the probability that the next coat sold is a medium.
Write your answer in reduced fraction form.
Answer:
Next coat sold as medium: 68/190 (35.79%) Rounded to the nearest hundredth) or reduced fraction form of 34/95.
Step-by-step explanation:
Red Medium: 21/58 ( 36.21%)
Navy Medium: 22/66 (33.33%
Tan Medium: 25/66 (37.88%)
Since it's asking for the probability that the next coat is a medium, no matter the color, we add in all numbers and divide it by the added medium from all three colors.
Next coat sold as medium: 68/190 (35.79%) Rounded to the nearest hundredth) or reduced fraction form of 34/95.
What is the volume of the right rectangular prism?
9 mm
ווווןןם
8 mm
23 mm
46 mm
NEED ASAP
Answer:
V=whl
Step-by-step explanation:
goole hope this helps
Answer:
C) 432 mm^3
Step-by-step explanation:
length*width*height= Volume
8*6*9= 432
The coefficient of 6xis
Answer:
The coefficient is 6
Step-by-step explanation:
The coefficient is the number before the variable
In this case, the variable, or the unknown value, is x.
The number before x is it's co-efficient.
6x
The number before the x is 6
Hope this helps :)
Answer:
6 is the coefficient
Step-by-step explanation:
Coefficient: multiples the variable to some power.
like for example
3x^2
3 is the coefficient
or
Ax^n
A is the coefficient
what happens to the value of the expression c + 2 as it increases?
Answer:
The value also increases
Step-by-step explanation:
The expression also increases like when you add one, it becomes c + 3
lect the best answer for the question.
9/11= ?/22
So the right answer is 18.
Look at the attached picture
Hope it will help you
Good luck on your assignment
find the value of x
Answer:
Step-by-step explanation:
Here we have the length of the hypotenuse (16) and that of the vertical leg (11). The cosine function inputs this data:
adjacent side 11
sin x = ----------------------- = ---------------- = 0.6875
hypotenuse 16
We find x using the arccos function: arccos 0.6875 = 0.81 radians or
46.57 degrees
Can someone help me out with this one i would greatly appreciate it
Answer:
Surface Area = 2×(5×5 + 5×10 + 5×10) = 250 feet^2
Step-by-step explanation:
: A marker in the shape of a cylinder has a diameter of 14 mm and a height of 136 mm. Find the volume of the figure described. Use 3.14 for . Round your answer to the nearest tenth, if necessary. *
Answer:
The volume of the figure is 20,925.0mm^3.
Step-by-step explanation:
Firstly we know that the Diameter = 14mm and Height = 136mm.
Area of Circle = 3.14xR^2 Radius = Diameter / 2
Area of Circle = 3.14x7mm^2 = 153.86mm
Volume = 153.86 x 136 = 20,924.96
Then round, to get 20,925.0
Let me know if this is helpful
Answer:
Volume : ( About ) 20925 mm^3
Step-by-step explanation:
1. If the diameter of this cylinder is 14 mm, the radius ⇒ 14/2 ⇒ 7 mm
2. Now knowing the radius, it would be most convenient to solve for the Base, which is in fact a circle. As we can see, the general Volume of a 3-dimensional figure is Base * height, so this will be helpful. Applying πr^2, Base Area ⇒ π * ( 7 )^2 ⇒ π * 49 π ⇒ 153.86 mm^2
This means that the Volume would be ⇒ Base Area * height ( where height is 138 mm ) ⇒ 153.86 mm^2 * 136 mm ⇒ 20924.96 mm^3
Answer ( Volume ) : ( About ) 20925 mm^3
WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
Answer:
y=20
Step-by-step explanation:
A square has sides of length 15. What is the length of the diagonal?
А
14/4
B
15/2
C
16/5
D
12/3
Answer:
15 sqrt(2) =c
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
The legs are 15 and the hypotenuse is the diagonal
15^2 + 15^2 = c^2
2 * 15^2 = c^2
Take the square root of each side
sqrt(2 * 15^2 )=sqrt( c^2)
sqrt(2) sqrt(15^2) = c
15 sqrt(2) =c
Answer: 15[tex]\sqrt{2}[/tex] (b)
Step-by-step explanation:
You can separate a square into two different 45-45-90 degree triangles.
Where x = 15, and the diagonal would be the hypotenuse.
So, here you can use the Pythagorean Theorem to find the hypotenuse to use 45-45-90 triangle theorem where they hypotenuse is always x times [tex]\sqrt{2}[/tex]
So, the diagonal would be 15[tex]\sqrt{2}[/tex]
Can you help me with this please??
Answer:
30 degrees
Step-by-step explanation:
A circle is 360 degrees
It is divided into 12 parts
So...
360 divided by 12
equals
30!
Answer: I think its 30 not 100 percent sure
Please help and answer all the question too
Answer:
1) 30 units³
2) 18 units³
Step-by-step explanation:
1) The formula for volume is v = height x length x width
The height of the first object is 2, the length is 5, and the width is 3. 2 x 5 x 3 is 30, so the volume is 30 units ³.
2) Use the same formula, v = h x l x w
The height is 3, the length is 3, and the width is 2.
3 x 3 x 2 = 18
So the volume is 18 units³.
Note: Find each of the values by counting the number of squares
Which of the following describes how to translate the graph y = lxl to obtain the graph of y = lx + 1l + 1?
shift 1 unit left and 1 unit down
shift 1 unit left and 1 unit up
shift 1 unit right and 1 unit down
shift 1 unit right and 1 unit up
Answer:
Step-by-step explanation:
The " +1 " in |x + 1| corresponds with a translation of the graph of the parent function to the left.
The " +1 " at the end corresponds to a translation of the graph of the parent function 1 unit upward.
Which of the following is an equivalent representation of 5^-4 ?
A. 1/625
B. 1/9
C. 1/81
D. 1/12
Please I need help quick!!!!
Answer:
D
Step-by-step explanation:
Triangle ABC is an equilateral triangle. Segment AD measures 18 inches. Which statements about the diagram are correct?
Check all that apply.
1. BD = 9 in.
2. AB = 36 in.
3. DC = in.
4. AC = in.
5. BC = in.
answer: 3,4
Answer:
3,4
Step-by-step explanation:
I got it right
Answer:
3,4
Step-by-step explanation: