Given,
Length of the arc = l = 37.4 cm
[tex]\small\bold{ Central \: angle = θ = 60° = \frac{60π}{180} radian = \frac{π}{3} radians}[/tex]
We know that,
[tex]\small\bold{r = \frac{l}{θ }}[/tex]
[tex]\small\bold{ = (37.4) \times (\frac{π}{3})}[/tex]
[tex]\small\bold{= \frac{ (37.4)}{[\frac{22}{7}\times 3]} }[/tex]
[tex]\small\bold{= 35.7 cm }[/tex]
Hence, the radius of the circle is 35.7 cm.
If log, 7 -3 what is the value of x?
A. 21
B. 3V7
C. 37
D. 343
Answer:
B
Step-by-step explanation:
logₓ 7 = 3
x³ = 7
Take cube root both sides
[tex]x= \sqrt[3]{7}[/tex]
The train was late is a compound or simple sentence
Answer:
This would be a compound sentence
Step-by-step explanation:
Hope that helps
Valerie drives 400 meters up a hill that makes an angle of 20° with the horizontal. To the nearest tenth of a meter, what horizontal distance has she covered?
Answer:
482.96 meters, Hope that helped
1.10 friends are at a party and they decided the party was boring and decided to go to a
club in two different cars. One of the friends, Susan, has an SUV that can carry 7
passengers. So, Susan can take 6 more of the 9 friends with her. How many
different groups of 6 people are possible from the 9 remaining friends?
Using the combination formula, it is found that 84 different groups of 6 people are possible from the 9 remaining friends.
The order in which the friends are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 6 friends are chosen from a set of 9, hence:
[tex]C_{9,6} = \frac{9!}{6!3!} = 84[/tex]
84 different groups of 6 people are possible from the 9 remaining friends.
More can be learned about the combination formula at https://brainly.com/question/25821700
Answer:
this wrong
Step-by-step explanation:
The perimeter of a rectangular garden is 262 m.
If the width of the garden is 54 m, what is its length?
Step-by-step explanation:
154 is my answer thank you
FedEx charges $14 per package plus $0.20 per
ounce. Write and solve for an equation that can be
used to find the weight of the package that costs
$19.40 to ship?
Answer:
19.40-14=5.40
5.40÷0.20=ounces
Hope this helps!!!
Answer:
27 ounces
Step-by-step explanation:
$14 package original charging fee
+ .20x27 = 5.40
14 + 5.4 = 19.4
$19.4
a glass fish tank in the shape of a rectangular prism has a base that measures 22 inches by 12 inches. If the tank can hold a maximum of 3,960 cubic inches of water, how much glass was used to construct the tank?
Answer:
582.76 square inches of glass is required to construct the tank.
Step-by-step explanation:
Base dimension = 22×12 inches
volume of fish tank =3960 cubic inches
volume= l×b×h
3960=22×12×h
h=3960/(22×12)
h=3960/462
h=8.57 inches
the glass used=lateral surface area of a rectangular prism
=2h(l+b)
=2×8.57(22+12)
=17.14(34)
=572.76square inches
Ages Number of students 15-18 7 19-22 7 23-26 7 27-30 9 31-34 9 35-38 2 Find the relative frequency for the class with lower class limit 23 Relative Frequency
Answer:
14
Step-by-step explanation:
Relative Frequency = [tex]\frac{Frequency*100}{Total Frequency}[/tex]
Frequency for the class with lower class is 23 =7
Total Frequency= 7+7+7+9+9+9+2=50
Relative Frequency = [tex]\frac{7*100}{50}[/tex] = 14
The relative frequency for lower class limit 23 is 14
Find the mean of the distribution class 1-3 3-5 5-7 7-9. frequency 9 22 27 17
Answer:
Hope this helps you
Step-by-step explanation:
Mean= [tex]\frac{404}{75} = 5.386666666666667[/tex]
Therefore, the mean of the given distribution =5.39 or 3.4
If you did not understand anything you can ask in the comments
work out 77.5% of 1500
Decompose 3p-1/p^2-1 into partial functions
(please select from the choices)
Answer:
a)
Step-by-step explanation:
[tex]\dfrac{3p-1}{p^2-1}[/tex]
Factorize the denominator:
[tex]\implies \dfrac{3p-1}{(p+1)(p-1)}[/tex]
Therefore,
[tex]\implies \dfrac{3p-1}{(p+1)(p-1)}=\dfrac{A}{p+1}+\dfrac{B}{p-1}[/tex]
[tex]\implies 3p-1=A(p-1)}+B(p+1)[/tex]
When p = 1:
[tex]\implies 2=A(0)}+B(2)[/tex]
[tex]\implies B=1[/tex]
When p = -1:
[tex]\implies -4=A(-2)}+B(0)[/tex]
[tex]\implies A=2[/tex]
Therefore,
[tex]\implies \dfrac{3p-1}{(p+1)(p-1)}=\dfrac{2}{p+1}+\dfrac{1}{p-1}[/tex]
In the diagram, △ABC∼△DEF. Find the value of x.
Given -
△ABC ∼ △DEF
To find -
the value of x.
Solution -
If △ABC ∼ △DEF then,
[tex]\frac{AB}{DE} =\frac{BC}{EF}[/tex]
➡ [tex]x=\frac{\cancel{12}^4}{\cancel{3}_1}\times2[/tex]
➡ [tex]x=4\times2[/tex]
➡ [tex]x=8[/tex]
Hence, the value of x is equal to 8.
I HAVE 5 MINS PLS HELP WILL MARK BRAINLIEST IF CORRECT!
Answer: Perimeter: 29 Area : 2593.5
Step-by-step explanation: Perimeter is plus it all together and the area is times altogether. Hope that helps! :)
Find 6 3/5 divided by 3 1/5 Write in simplest form
Answer:
[tex]\frac{33}{16}[/tex]
Step-by-step explanation:
33/16 is the answer
HELP
The container that holds the water for the football team is 2/3 full. After pouring out 4 gallons of water, it is 4/9 full. How many gallons can the container hold?
Answer:
I'm pretty sure this is correct.
2/3 * 3 = 6/9
6/9 + 4/9 = 10/9
Simplified it's 10 1/9, so the final answer is 10 1/9.
pls answer ASAP Plss
Buddy it's actually Isosceles Triangle because of the symbols used in the diagram
4. Zowie serves at a restaurant and makes 20% of what their sales as tips with base salary of $10.20 an hour. Each hour Zowie sells an average of $60 worth of food & drinks. They also make time and a half on any time worked over 8 hours in a single shift. If their work week contains three 10‐hour shifts, one 5‐hour shift, and one 11‐hour shift what is Zowie’s annual gross income and annual net income.
Use the income deductions as stated below.
Income Deductions:
• Pension deductions are 5%
• Employment Insurance deductions are 2.4%
• Income Tax deductions are as follows for annual salaries:
i. On the first $11,000, no income tax is paid,
ii. On the first $11,000 to $25,000, 8% of the income is deducted,
iii. On the first $25,000 to $50,000, 12% of the income is deducted, iv. On the first $50,000 to $100,000, 15% of the income is deducted,
v. Any income over $100,000, 20% of that income is deducted.
Answer:
ii.
Step-by-step explanation:
because i had this same problem and was told that was the answer
5. 26 = y + x
y = x
6. y = 2x + 7
y=-3x - 23
Solve each system of equations by substitution
Answer:
5.step 1
26=y+x
y=x
26=x+x
26=2x
then x=13
6.substitute y with the given equation equal to y the equate them with the first one and collect like terms the find x
© There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?
Answer: THE ANSWER IS 18/42 IF YOU LOOKED THIS UP FOR HEGARTY MATHS THEN THIS IS RIGHT!!!!! Originally Answered: There is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is replaced.
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 13,39,117 Find the 6th term.
Answer:
3159
Step-by-step explanation:
This is Geometric Sequence where its common ratio =39/13=117/39=3
The Geometric Sequence General Formula = [tex]a_{n} =a*r^{n-1}[/tex]
where a is the 1st Term and r is the common ration
[tex]a_{6} =13*3^{6-1}=3159[/tex]
Victoria used 1.5 m of red ribbon and 240cm of blue ribbon to make a flower. How much
ribbon did she use in total?
HELP ASAP HELP ASAP
A map has a scale of 3 cm:20 km. If two cities are 6 cm apart on a map,
how far are the cities actually apart?
6 cm
3 cm
20 km
x km
Cross multiply and solve for "x."
А
30 km
B
40 km
С
60 km.
D
100 km
20+20+???
a. 80
b. 20
c .40
d. 100
Answer:
its C 40
Step-by-step explanation:
i need help 5/9 = /45 fractions
Answer:
5/9 = 25/45
Step-by-step explanation
multiply 5/9 by 5/5 this will turn it into 25/45
5x5=25
5x9=45
Find the value of x.
х
x = [?]
Give your answer in simplest form.
Answer:
x = [12]
Step-by-step explanation:
=> [tex] \frac{x}{6} = \frac{6}{3} [/tex]
=> x = 2 × 6
=> x = 12
2. If the raffle has 200 tickets total, then
about how many tickets will be in the dining out
raffle?
If the raffle has 200 tickets total, then about 50 tickets will be in the dining out raffle.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
From the diagram:
Percentage of dinner out = 65% - 40% = 25%
For 200 total tickets:
Number of dinning out raffle = 25% of 200 = 0.25 * 200 = 50 ticket
If the raffle has 200 tickets total, then about 50 tickets will be in the dining out raffle.
Find out more on equation at: https://brainly.com/question/2972832
Quadrilateral ABCD ~ quadrilateral JKLM. What is the
length of LM?
Step-by-step explanation:
just ratio and need to identify which lines are pairs.
Arrange the following in order of increasing radius: O2-, F- , Ne ,Rb ,Br- Group of answer choices O2- < F- < Ne < Rb < Br- Br- < Rb < Ne < F- < O2- F- < Br- < O2- < Ne < Rb F- < O2- < Ne < Br- < Rb Rb < F- < Br- < Ne
The arrangement in order of increasing radius is F⁻ < O²⁻ < Ne < Br⁻ < Rb
Atomic radiusThis is the distance between the outermost electron and the nucleus
Electronic configuration of an atomThis is the arrangement of electrons around the nucleus
The electronic configurations of the elements are given in increasing order of atomic radius belowO - 2, 6 < F - 2, 7 < Ne - 2, 8 < Br - 2, 8, 18, 7 < Rb - 2, 8, 18, 8, 1Ionic radiusThis is the radius of an atom forming ionic bond
Since we have anions in the question and the atomic radius of an anion is greater than that of the corresponding atom,So, we have the electronic configurations of the corresponding ions in increasing order of ionic radius
F⁻ - 2, 8, < O²⁻ - 2, 8 < Ne - 2, 8 < Br⁻ - 2, 8, 18, 8 < Rb - 2, 8, 18, 8, 1
So, the arrangement in order of increasing radius is F⁻ < O²⁻ < Ne < Br⁻ < Rb
Learn more about ionic radius here:
https://brainly.com/question/8137711
Which expressions are equivalent to 6 +(-x) + 2x + (- 7) + 2x? Check all that apply. O x + x + 6 - 7 + x O 2x + 2 + x O 3-x + 2x - 4 + 2x O x-1 O x + 1
Answer: that equivalent to the expression 2x+3x+8-3x-2 would be the choices A and C. If you notice, in choice A, you have just combined all the like terms which results in 2x+6 and in Choice C, you have combined all your constants and the the two terms 2x and 3x resulting in 5x-3x+6 which all remain equivalent to he original given expression
Step-by-step explanation:
what is the range for the possible side lengths AB of ABC.
Answer:
adg
Step-by-step explanation:
adg is the range for the side lengths AB of ABC
Hope it's help