Answer:3
Step-by-step explanation:r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240), then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
In a class of 28 students, 17 play an instrument and 6 play a sport. There are 4 students who play an instrument and also play a sport. What is the probability that a student chosen randomly from the class plays a sport and an instrument?
Answer:
Step-by-step explanation:
P=4/28=1/7
Answer:
14.3% or 1/7
Step-by-step explanation:
4 / 28
4 students who play a sport and instrument divided by 28 total students
PLEASE ILL GIVE BRAINLIEST
Ahmed has 31 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 535 cents, how many dimes and how many quarters does he have?
Answer:
19 dimes and 15 quarters.
Step-by-step explanation:
Lets substitute in the equation
565=10x+25(34-x)
565=10x+850-25x
15x=285
x=19
So...
34-19=15
Find the measure of the missing side PQ using trig ratios
Answer:
take 48 degree as reference angle
use sine rule
sin48=opposite/hypotenuse
0.74=5.4/x
x0.74=5.4
x=5.4/0.74
x=7.29 m
Step-by-step explanation:
Answer:
[tex]sin 48 = \frac{5.4}{X}\\\\X = \frac{5.4}{sin 48}= 7.27m[/tex]
Draw the net figure label the net with appropriate dimensions in centimeters
Answer:
your answer has to be A or B cuz the rest fo match up with the measurements
Step-by-step explanation:
HELPP, RIGHT TRIANGLES AND TRIGONOMETRY
Step-by-step explanation:
x²=6²+8²
=36+64
= 100
x=√100 = 10
Answer:
[tex]\displaystyle 10 = x[/tex]
Step-by-step explanation:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 8^2 + 6^2 = x^2 \hookrightarrow 64 + 36 = x^2 \hookrightarrow \sqrt{100} = \sqrt{x^2} \\ \\ \boxed{10 = x}[/tex]
We only want the NON-NEGATIVE root sinse we are measuring the length of the hypotenuse.
I am joyous to assist you at any time.
what would be x and y please help
Answer:
x=3, y=3√2
Step-by-step explanation:
This is a right isosceles triangle, so the sides of the main vertex are equal, so x=3
Using Pythagorean theorem:
y²=3²+3²=9+9=18
y=√18=3√2
Express the rate in lowest terms. There are six teachers for every 108 students.
Answer:
Step-by-step explanation:
108 students
----------------------- = 18 students per teacher
6 teachers
Answer:
Aproximatly 18 students for each teacher
Step-by-step explanation:
108/6 is 18
x+2=5, what must x equal? how did you know this
Answer:
x=3 because 5-2=3 meaning 3+2=5
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
x+2-2=5-2
x=3
subtract 2 from both sides of the equation
Please help need this last one.
Answer:
10
Step-by-step explanation:
If you look at it closely you can see its a complete circle.... on the sides its 12 then as you go to the center the first one is ten and the dot is in the center which should make it 10.
Answer:
it's basically 10, both sides are equal
Step-by-step explanation:
The librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books checked out each day. The assistant took a sample and found the mean to be 880 books. She provides the librarian with an interval estimate of between 790 and 970 books checked out per day. An efficient, unbiased point estimate of the number of books checked out each day at the Library of Congress is
Answer:
a. 880
Step-by-step explanation:
Options are "a. 880 b. 90 c. 790 d. None of these choices"
Interval estimate of between 790 and 970 books checked out per day.
Lower limit is 790, Upper limit is 970
Point estimate of μ(x) = [Upper limit + Lower limit} / 2
Point estimate of μ(x) = [970 + 790] / 2
Point estimate of μ(x) = 1760/2
Point estimate of μ(x) = 880
So, the efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is 880.
Put the following numbers in order from least to greatest 36/100, 0.2, 1/10, 8/100, 0.5, and 0.44?
Answer:
8/100,1/10,0.2,36/100,0.44,0.5
Step-by-step explanation:
8/100
1/10=10/100
0.2=20/100
36/100
0.44=44/100
0.5=50/100
Carla figures she spends 21% of her income on food. which fraction is a good estimate for 21%
pls help me rn i really need help i will give 10 points
Maria is bringing her sick dog Pedro in for a series of appointments at the
veterinary clinic. Her total cost over the course of treatment will be $150 for tests
and medicine plus $30 per appointment, a.
Answer:
need help asap
Step-by-step explanation:
Find the perimeter of the polygon.
perimeter:
ft
Answer:
Perimeter = 22 feet
Step-by-step explanation:
Perimeter is the outside measurement of the shape, and the sides are 4 and 7.
What you can do is add them together and multiply by 2, so
4+7 = 11
11*2 = 22
You can also just add all sides together
4 + 7 + 4 + 7 = 22
Answer:
Given :
»» Length of rectangle = 7 ft»» Breadth of rectangle = 4 ftTo Find :
»» Perimeter of rectangleUsing Formula :
[tex]{ \star{\small{\underline{\boxed{\sf{\red{P = 2(l + b)}}}}}}}[/tex]
»» P = perimeter »» l = length »» b = breadthSolution :
Here the given polygon is rectangle. So, finding the perimeter of rectangle :
[tex] \begin{gathered} \qquad{\dashrightarrow{\small{\sf{P_{(Rec)} = 2(l + b)}}}} \\ \\ \qquad{\dashrightarrow{\small{\sf{P_{(Rec)} = 2(7 + 4)}}}} \\ \\ \qquad{\dashrightarrow{\small{\sf{P_{(Rec)} = 2(11)}}}} \\ \\ \qquad{\dashrightarrow{\small{\sf{P_{(Rec)} = 2 \times 11}}}} \\ \\ \qquad{\dashrightarrow{\small{\sf{P_{(Rec)} = 22 \: ft}}}} \\ \\ \qquad{\star{\small{\underline{\boxed{\sf{ \purple{P_{(Rec)} = 22 \: ft}}}}}}}\end{gathered}[/tex]
Hence, the perimeter of the polygon is 22 ft.
Which of the following resulted from the Euclidean postulate below?
Through a given point not on a given line, there is exactly one line parallel to
the given line.
A. The discovery of hyperbolic geometry
B. The discovery of perpendicular lines
C. The discovery of non-Euclidean geometry
D. The discovery of the complex coordinate plane
Answer:
C
Step-by-step explanation:
The discovery of non euclidean
Which vectors represent the reflection of the vector <3, -7> across the x-axis?
Express y-4[y-3(y-2)] -5 in simplest form
Answer:
y^3 - 9y^2 + 26y - 29
Step-by-step explanation:
y - 4[y - 3(y - 2)] - 5
I'm going to separate it into parts
(y - 3)(y - 2)
y^2 - 5y + 6
(y - 4)(y^2 - 5y + 6)
y^3 - 5y^2 + 6y - 4y^2 + 20y - 24
y^3 - 9y^2 + 26y - 24
y^3 - 9y^2 + 26y - 24 - 5
y^3 - 9y^2 + 26y - 29
Insects have 6 legs. Ants are insects.
What is the total number of legs on 8 ants?
14
Answer:
48, because 6*8=48
Is x = 9 in the solution set of the inequality x + 14 < 20
Yes or no
Answer: No
Step-by-step explanation:
Data: x+14<20
x=9? Is what your trying to find
Step one, Isolate x by subtracting 14 on both sides
X+14-14<20-14=X=6
Reason: Since you are trying to find if x=9, you have to isolate it. The way to do that is to get rid of +14 by subtracting it by 14. However, since what you do to one side you do to the other, you subtract +20 by 14 to get 6.
Since x=6 isn't x=9, the answer is No
Answer: No
I hope this helps!
Discuss in detail how the nature of data influences selection of statistical technique(s) to organize, summarize, and present your data. Provide examples to support your argument.
Answer:
Step-by-step explanation:
Data could exists in several different forms which often dictates if the data can be used directly in its raw format or if it requires conversion to another format. The nature of data is often very robust. Some data may occur as numeric and have meaning in terms of addition and other statistical properties; however some are only dummy and are restricted to (0's and 1's). Similarly, some may be used to show rank or depth and as such have no meaning while trying to perform Mathematical calculation. Therefore, choosing statistical summaries for the data sivj as the. Mean, median and mode will depend on the input, binary data cannot be summarized using the median or mean except the use of a modal score. While the presentation of the data using graphs also rewired that the nature of the data be considered before selecting a suitable chart (linen, bar, dot, pie and so on).
Divide (2 3/5) divide sign 2/3
(1 4/5)
(2 9/10)
(1 11/15)
(3 9/10
Answer:
i guess use this https://www.calculatorsoup.com/calculators/math/fractions.php
Step-by-step explanation:
consider the original trapezoid and the enlargement.
Answer:
12
Step-by-step explanation:
2x4=8
5x4=20
2x4=8
each side is multipled by 4
3/4 of Stella's garden is flowers. She grows 6 types of flowers spaced equally. What fraction of her garden is dedicated to each type of flower?
Answer: 1/8 of her garden
1/8 of her garden is dedicated to each type of flower.
What is a fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
Given
part of stella's garden has flowers = 3/4
types of flowers = 6
fraction of her garden is dedicated to each type of flower = 3/4 / 6 = 3/4 *1/6 = 3/24 = 1/8.
To learn more about fractions refer to:
https://brainly.com/question/78672
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Help I need help fast ill give brainliest
Answer:
15
Step-by-step explanation:
Answer:
Step-by-step explanation:
(3/2)x - 2
hope it helps
plzzzzz help me i have no clue
Answer: Maybe a
Step-by-step explanation:
I mean it is confusing but still look over it
Answer:
The bottom one looks correct
Step-by-step explanation:
Any number from 1-infinity will make that true
A road is inclined at an angle of 3°. After driving 5330 feet along this road, find the drivers increase in altitude
Click on three points that are solutions to y = 3x^2- 2x +3.
A. (-2, 19)
B. (0,0)
C. (1,2)
D. (1,4)
E. (2,5)
F. (2, 11)
-3x^2 + 224 = — 6х + 2
Answer:
x=1-5[tex]\sqrt{3[/tex] or x=1+5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
hope this helps
Answer:
x=1-5√3, x=1+5√3
Step-by-step explanation:
-3x^2 + 224 = — 6х + 2
add 6 on both sides
-3x^2+224+6x=2
subtract 2 on both sides
-3x^2+222+6x=0
rearrange for the quadratic formula
-3x^2+6x+222=0
use the quadratic formula
x=1-5√3, x=1+5√3
Solve for x. Round to the nearest tenth, if necessary.
х
F
26
459
E
Answer:
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45=opposite/hypotenuse
1/[tex]\sqrt{2}[/tex]=x/26
x=26/[tex]\sqrt{2}[/tex]
x=13[tex]\sqrt{2}[/tex]
x=18.38
x=18.4
The length of the perpendicular side of the triangle ΔGFE will be 18.38 units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The triangle ΔGFE is shown. And the angle ∠GFE is a right angle.
We know that the sine of an angle is the ratio of the perpendicular to the hypotenuse. Then we have
sin 45° = x / 26
x = 26 sin 45°
x = 26 × 0.707
x = 18.38 units
The length of the perpendicular side of the triangle ΔGFE will be 18.38 units.
More about the triangle link is given below.
https://brainly.com/question/25813512
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