Answer: [tex]5.13\ \text{units}[/tex]
Step-by-step explanation:
Given
In a circle, [tex]\angle PQR=42^{\circ}[/tex]
[tex]PQ=7\ \text{units}[/tex]
Arc length is given by
[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]
Insert the values
[tex]\Rightarrow l=\dfrac{42^{\circ}}{360^{\circ}}\cdot 2\times \dfrac{22}{7} \times 7\\\\\Rightarrow l=5.13\ \text{units}[/tex]
The length of the arc PR is [tex]5.13\ \text{units}[/tex]
Em uma competição esportiva uma equipe ganhou 80 medalhas sendo que 25% de ouro 35% de prata e o restante de blusa e qual o número de medalhas de bronze que essa equipe ganhou
Answer:
32 medals
Step-by-step explanation:
Given that
The team wons 80 medals
out of which 25% is gold
35% is silver
and rest is bronze
we need to find out the number of bronze medals that win by the team
The total percentage is 100
So, the remaining percentage is
= 100 - 25 - 35
= 40%
So, the number of bronze medal should be
= 40% of 80 medals
= 32 medals
Please do not put any files and links. pick 1 answer. help please this is so hard for me tbh
Answer:
let's convert the 25 yards into feets -> 75 feet of wire.
now let's subtract the alrdy used 15 ½ feet from we that
we got 59 ½ feet left
now let's just take ⅓ of this, just by dividing by 3.
since this seems to be a mess in calculation, let's put in the effort to convert in into inches first.
59 ½ feet = 59½*12 inches = 714 feet
now we should be able to take ⅓ of it cleanly (since we just multiplied by 12)
⅓ of 714 is just as dividing 714 by 3
= 238
the time machine needs 238 inches of wire
this isn't just picking an answer tough, on the bottom of the exercises are the unit conversations
2x+3y=15
X+y=6
Simultaneously equations
Answer:
Step-by-step explanation:
Let's solve your system by substitution.
2x+3y=15;x+y=6
Rewrite equations:
x+y=6;2x+3y=15
Step: Solvex+y=6for x:
x+y=6
x+y+−y=6+−y(Add -y to both sides)
x=−y+6
Step: Substitute−y+6forxin2x+3y=15:
2x+3y=15
2(−y+6)+3y=15
y+12=15(Simplify both sides of the equation)
y+12+−12=15+−12(Add -12 to both sides)
y=3
Step: Substitute3foryinx=−y+6:
x=−y+6
x=−3+6
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=3
Answer:
x = 3, y = 3
Step-by-step explanation:
Given the 2 equations
2x + 3y = 15 → (1)
x + y = 6 → (2)
Multiplying 2) by - 2 and adding to (1) will eliminate x
- 2x - 2y = - 6 → (3)
Add (1) and (3) term by term to eliminate x
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(3) = 15
2x + 9 = 15 ( subtract 9 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:area of the circle=πr²
3.14 =3.14 ×r²
r²= 1
r. =1 millimeters
Triangle ABC is reflected across the line y= x. What are the coordinates of the vertex B'of the resulting triangle a'b'c?
Which side lengths form a right triangle?
Answer:
[tex]\text{B. }1.5, 2, 2.5,\\\text{C. }4, 4, \sqrt{32}[/tex]
Step-by-step explanation:
All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.
Verify:
[tex]1.5^2+2^2=2.5^2\checkmark,\\4^2+4^2=\sqrt{32}^2\checkmark[/tex]
Ms. Li opened a retirement account with adeposit of $2,500. This account earns 4% simple interest annually. How many years will it take her to earn $500 on her $2,500 deposit?
Answer:
5 years
Step-by-step explanation:
Use the simple interest formula: I = prt
Plug in 500 as I, since that is the amount of interest being earned.
Plug in 2,500 as P and 1.04 as r.
I = prt
500 = (2,500)(0.04)t
500 = 100t
5 = t
So, it will take 5 years to earn $500 on the deposit.
Una pileta de natación tiene un desnivel en el fondo, de tal manera que su profundidad varía entre 1m y 4,3m. ¿Cuál es el cambio de presión al nadar por el fondo de la pileta, desde la zona más baja hacia la zona más profunda? (Aplique Teorema Fundamental de la Hidrostática). Peso específico agua: γ=1000kgf/m³
Answer:
dhhdf Hf fu vvvvvvvbbb jcjsjjsisydydhfb DJ
Please help if you can!!!!
Answer:
about 22 square units
Step-by-step explanation:
sana makatulong
Answer:
C: About 22 square units
Step-by-step explanation:
YW
This is my hw. heelp
Answer:
1/14
Step-by-step explanation:
A fruit basket contains 11 red apples and 7 green apples. What is the ratio of the number of red apples to the number of green apples
Answer:
11:7 or 11/7
Step-by-step explanation:
Since your asking for the ratio 11 goes first as the problom states red apples to green apples and there are 7 green apples so the corect answer is 11:7
Can someone explain how to do this and add the formula please
Answer:
5 is 35 and 6 is 50
Step-by-step explanation:
To solve 5, you need to know how many degrees is the line, which is 180 because lines are 180 degrees. You then subtract 110 from 180 which equals to 70. What you have left now is 2k. A number times 2 will equal to 70, so k=35.
For 6, if you ever see two lines intersecting each other, it means that it is 360 degrees. We already have one angle, which is 120. The other angle is d+70 degrees, and any angle that is reflecting the other angle will have the same value. So, d equals 50
(sorry if you still can't understand it I'm not good at English
a car dealer made a profit of 22.5% by selling a car of $58000.00. Find the correct two decimal places, the percentage profiting the car had been sold for $61200.00
Answer:
58000/1.225 =47346.94
61200/47346.94 = 1.2926
29.26%
Step-by-step explanation:
Factorise fully 2a^2b + 6ab^2
Answer:
Step-by-step explanation:
2a^2b + 6ab^2
take common
2 can be taken common because there is 2in first term and there is 6 in second term and 2 can exactly divide 6 .there is a*a in first term and only a in second term so u can take a as common.There is only b in first term and b*b in second term so take u can take b as common.
total we can take
2ab as common.So,
2ab(a+3b)
therefore 2ab(a+3b) is the required answer.
The required factorization is 2ab(a+3b).
What is factorization?Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the process of dividing a number into its components or divisors.
Expanding brackets in reverse is a procedure known as factorizing.
Fully factorizing an equation entails putting it in brackets by eliminating the components with the highest common denominator.
Finding the highest common factor between all the terms in the phrase is the easiest technique to factorize.
We have, 2a²b + 6ab²
Here,
we have the highest common factor 2ab,
So, 2ab (a + 3b)
Therefore, 2ab(a+3b) is the required factorization.
To learn more about the factorization;
https://brainly.com/question/28187946
#SPJ2
What is the area of the square above
A. 44 square centimeters
B.88 square centimeters
C.121 square centimeters
D.242 square centimeters
Step-by-step explanation:
A 44 square cantimeters
find out the arc length of DG and the measure of angle DHG
Answer:
is it timed, because i need like 20 mins to answer this question.
Step-by-step explanation:
1) Find the remainder when 4x3 - 5x2 + 2x - 14 is divided by x -2
with the help of remainder theorem.
{ANS: R=2}
Answer:
remainder = 2
Step-by-step explanation:
A polynomial f(x) is divided by (x - a) then the remainder is f(a)
Here f(x) = 4x³ - 5x² + 2x - 14 is divided by (x - 2) then remainder is f(2)
f(2) = 4(2)³ - 5(2)² + 2(2) - 14
= 4(8) - 5(4) + 4 - 14
= 32 - 20 - 10
= 12 - 10
= 2
A teacher recorded the number of days her students went on vacation. Which statements describe the data? Select all that apply. Please help
Answer:
The students went on vacation for average 40 days.
The high school students went for more days than college students.
Step-by-step explanation:
The data shows number of students who went for vacation. The data class frequency shows that students who are in high school went for more days in vacation than college students. The students went for average of 40 days on vacation.
a class has a ratio of boys and girls that is 6:5. if there are 15 girls in the class how many total children are in there class
Answer:
33
Step-by-step explanation:
Trust me it'll work.
Jeff had 5 apples but ate 2 Kyle had 3 apples but ate 1 kelsea has 8 apples but ate 4
Answer:
jeff has 3 apples left. kyle has 2 apples left. kelsea had 4 apples left.
Step-by-step explanation:
5-2=3
3-1=2
8-4=4
Answer:
jeff 3 apples, kyle 2 apples, kelsea 4 apples
total apples left = 9 apples
total apples eaten = 7 apples
total apples = 16 apples
Step-by-step explanation:
London is going to invest $8.8oo and leave it in an account for 10 years.
Assuming the interest is compounded continuously, what interest rate, to the
nearest hundredth of a percent, would be required in order for London to
end up with $13.400?
Answer:
k = 0.04205029854
k = 4.205029854%
Step-by-step explanation:
13400 = 8800(e)^10(k)
ln 1.52 = 10k ln e
(ln 1.52)/ 10 = k
Answer:
The interest rate would be 4.21%
s
is inversely proportional to
t
.
When
s
=
0.5
,
t
=
7
Work out
s
when
t
=
0.8
Answer:
4.375
Step-by-step explanation:
s=1/t
s=k/t
0.5=k/7
k=7x0.5=3.5
s=3.5/0.8
s=4.375
a circle shown below, m AC = 89° and m BC = 153°. Determine m∠ACB.
Answer:
m<ACB = 59degrees
Step-by-step explanation:
To get <ACB, first we need arcAB
arcAB + arcAC + arcBC = 360
arcAB + 89 + 153 = 360
arcAB+242 = 360
arcAB = 360 - 242
arcAB = 118
Also, m<ACB = 1/2arcAB
m<ACB = 1/2*118
m<ACB = 59degrees
write 6.58 centimeters in meters using E-notation.
Answer:
6.58 x 10 ^ -2
Step-by-step explanation:
that's 10 to the negative 2 power.
it creates a smaller number. moving decimal to left 2 places.
.0658 meters
In a class, 60% of the students are girls. There are 18 girls in the class.
a. How many students are in the class?
b.How many boys are in the class?
Answer:
a. Total of 45 students.
b. 18 Boys.
Answer:
There are 45 students and 18 boys in the class
plzzz anserw ill give you more points and crown if correct plzzz =D
From midnight to 7:00 am, the temperature rose 3/10 °C each hour. If the temperature at midnight was −1°C, what was the temperature at 7:00 am?
Answer:
11/10°C
Step-by-step explanation:
7 x 3/10 = 21/10
Temperature at Midnight = -1°C
Temperature at 7.00am = 21/10 + (-1°C)
= 11/10°C
Using the equation
[tex] \sqrt{x + 7} + 5 = x[/tex]
, are both x = 2 and x = 9 solutions or are one/both of them extraneous solutions? Explain.
Given:
The equation is:
[tex]\sqrt{x+7}+5=x[/tex]
To find:
Whether [tex]x=2[/tex] and [tex]x=9[/tex] both are solutions or one/both of them extraneous solutions.
Solution:
We have,
[tex]\sqrt{x+7}+5=x[/tex]
Subtract 5 from both sides.
[tex]\sqrt{x+7}=x-5[/tex]
Taking square on both sides, we get
[tex]x+7=(x-5)^2[/tex]
[tex]x+7=x^2-10x+25[/tex]
[tex]0=x^2-10x+25-x-7[/tex]
[tex]0=x^2-11x+18[/tex]
Splitting the middle term, we get
[tex]x^2-2x-9x+18=0[/tex]
[tex]x(x-2)-9(x-2)=0[/tex]
[tex](x-2)(x-9)=0[/tex]
[tex]x=2,9[/tex]
Now, substitute [tex]x=2[/tex] in the given equation.
[tex]\sqrt{2+7}+5=2[/tex]
[tex]\sqrt{9}+5=2[/tex]
[tex]3+5=2[/tex]
[tex]8=2[/tex]
This statement is false because [tex]8\neq 2[/tex]. So, 2 is an extraneous solution.
Substitute [tex]x=9[/tex] in the given equation.
[tex]\sqrt{9+7}+5=9[/tex]
[tex]\sqrt{16}+5=9[/tex]
[tex]4+5=9[/tex]
[tex]9=9[/tex]
This statement is true. So, 9 is a solution of given equation.
Therefore, 2 is an extraneous solution and 9 is a solution of given equation.
Edwin is an insurance broker. Yesterday, he sold the Fredericks family a $425,000 insurance policy. And he also sold the Guthrie family a $379,000 insurance policy. If Edwin gets a 2.35% commission for all his sales. How much commission did he get paid for these two policies he sold?
Answer:
425000×0.0235=9987.5
379000×0.0235=8906.5
9987.5+8906.5=18894 that is the amount he gonna get
Find the circumference of a circle with diameter,
d
= 3.2m.
Give your answer rounded to 2 DP.
Answer:
[tex]circumference = \pi \: d \\ = 3.14 \times 3.2 \\ = 10.05 \: m[/tex]
Answer:
circumference=10.05 m
Step-by-step explanation:
radius =diameter/2
=3.2/2
=1.6 m
circumference=2πr
=2*3.14*1.6
=10.048 m
=10.05 m
Simplify the following by collecting like terms.
c + c +c+c
Answer:
4c
Step-by-step explanation:
c + c +c+c
Factor out c
c(1+1+1+1)
c(4)
4c