Answer:
[tex]{ \bf{total \: ratio = 4 + 3 = 7}} \\ { \tt{let \: population \: be \: p}} \\ \frac{4}{7} \times p = 24 \\ 4p = 168 \\ p = 42 \\ { \bf{there \: are \: 42 \: people}}[/tex]
Boys to girls- 4:3
Boys and girls- 24 and x (let the girls be x)
4/3=24/x
=4x= 72
= x= 72/4
= x= 18 girls
Ans: There are 42 children (24+18)
vedanta Excel In Opt. Mathematics - Book 9
Find the locus of a point which moves so that
(a) Its distance from (1, 2) and (2, -3) are equal.
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
[tex]x\approx 49.6^{\circ}[/tex]
Step-by-step explanation:
In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side.
For angle [tex]x[/tex]:
Opposite side is 40Adjacent side is 34Therefore, we have:
[tex]\tan x^{\circ}=\frac{40}{34}[/tex]
Take the inverse tangent of both sides to solve for [tex]x[/tex]:
[tex]\tan^{-1}(\tan x)=\tan^{-1}(\frac{40}{34}),\\x=\tan^{-1}(\frac{40}{34}),\\x=49.63546343\approx \boxed{49.6^{\circ}}[/tex]
*Recall [tex]\tan^{-1}(\tan x)=x\text{ for } x\in (-90^{\circ}, 90^{\circ})[/tex]
Please help me out with this one
Answer:
[tex]72 cm^{2}[/tex]
Step-by-step explanation:
[tex]===========================================[/tex]
Formulas:
Area of a rectangle/square:
[tex]A=lw[/tex]
Area of a triangle:
[tex]A=bh\frac{1}{2}[/tex]
[tex]===========================================[/tex]
Square:
5*5= 25 cm.
Rectangle#1:
4*5= 20 cm.
Rectangle #2:
3*5= 15 cm.
Triangle (2):
[tex]3*4*\frac{1}{2}=6[/tex]
Multiply by 2 because there are 2 triangles
6*2= 12 cm
Total:
Add them all up.
25+20+15+12= 72
Um criador de ovelhas possui um total de 36 ovelhas e resolveu vender alguma delas no primeiro dia vendeu metade das ovelhas no segundo dia vendeu um terço e no terceiro dia vendeu a nona parte quantas abelhas sobraram?
Answer:
2 sheep
Step-by-step explanation:
If you have 36 sheep and you sell:
first day 1/2 of them you sold 18
second day 1/3 them you sold 12
On thhe third day 1/9 them you sold 4
Therefore you sold 18 + 12 + 4 = 34
And you still have 2 sheep
rationalization
[tex] \frac{6}{ \sqrt{3} } [/tex]
Answer:
2√3
Step-by-step explanation:
To rationalize, we multiply the denominator and numerator by the surd at the base
We have it that;
6/√3 * 1
= 6/√3 * √3/√3
= 6 √3/3 = 2√(3
The product of integers a,b,c and d is 546 and if 1<a<b<c<d, what is the value of b+c?
Hello,
546=2*3*7*13
a=2, b=3,c=7,d=13
b+c=3+7=10
add: -38+6+27+(-8)+126
Answer:
113
Step-by-step explanation:
40 points if helped question is in the picture
Answer:
15 9 3
Step-by-step explanation:
15 9 3
sorry i guessed on this one
but it does work
when they said 3 in the first sentence i helped me guess
Answer:
first term = 15
second term = 9
Third term = 3
Step-by-step explanation:
Let the first term be 3x
Let the second term be = 3x - 6 [ 6 less than first term]
Let the third term be = 1/5 of 3x
[tex]=\frac{1}{5} \times 3x\\\\=\frac{3}{5}x[/tex]
Difference between first and third term = 12
That is ,
[tex]3x - \frac{3}{5}x = 12\\\\\frac{(3x \times 5) - 3x }{5} = 12\\\\15x - 3x = 12 \times 5\\\\12x = 60\\\\x = \frac{60}{12} = 5\\\\Therefore , \ first \ term = 3x = 3 \times 5 = 15\\\\second \term = 3x - 6 = 3( 5) - 6 = 15 - 6 = 9\\\\Third \ term = \frac{1}{5} \times 3x = \frac{1}{5} \times (3 \times 5) = 3[/tex]
Need help on this!!! 7 points!!!
Answer:
P= $226,863.29
Step-by-step explanation:
Compounded Continously means
P= P₀e^(rt)
plug in givens
P=(47000)e^(0.0926*17)
Use Calculator
and get P= $226,863.29
Answer:
$226,863.29
Step-by-step explanation:
P = $47,000
r = 0.0926
t = 17
A = [tex]47,000(2.718)^{(0.0926)(17)}[/tex]
A = $226,863.29
(6/11) to the power 2 answer pls
Step-by-step explanation:
in fraction it comes 36/121
and in decimal.it comes 0.3
Answer:
Step-by-step explanation:
6/11^2 = 6/11 * 6/11 = 36 / 121.
You cannot simplify 36/121
Is the following statement a good definition? Why?
An obtuse angle is an angle whose measure is greater than 90°.
Answer:
yes it is all obtuse angles have measures greater than 90°.
Answer:
Yes it is. All obtuse angles have measures greater than 90.
Step-by-step explanation:
Reasoning It has to be Higher then 90 degrees to be called obtuse. This rule applys for all.
the pair of the lines x^2-3y^2=0 and the straight line x=a enclose a triangle which is
Step-by-step explanation:
x²-3y²=0x=√3y and x-√3yΔOAB is equilateral triangle∴ orthocentre and centroid of ΔOAB concides ∴ orthocentre =( 29/3 ,0)=( x1 + x2 + x3 / 3 , y1 + y2 + y3 / 3 )I NEED BRAINLIEST ✌️ PLZThree text messages cost 5 cents to send. how much do 150 cost?
Answer:
30 ,,,,,,,, I hope it's helpful for you
3 text messages = 5 cents
So,
1 text messages
= 5 cents/3
= 5/3 cents
So,
150 text messages
= 150 × (5/3 cents)
= 50 × 5 cents
= 250 cents
Can somebody help me
Which of the following terms best describes each of the two points marked with dots in the ellipse below?
Answer:
Focus.
Step-by-step explanation:
.
Answer:
The correct answer is D. Focus.
Step-by-step explanation:
If ABC~ ADEF and the scale factor from AABC to A DEF is 2, what are the
lengths of DE, EF, and DF, respectively?
E
B
4
2
6
A А
A. 4, 8, 12
B. 2, 8, 12
C. 8, 16, 24
D. 1, 2, 3
Answer:
A. 4, 8, 12
Step-by-step explanation:
there is a scale factor f=2 to "go" from one triangle to the other.
that means all sides of the target triangle are created out of their corresponding side of the source triangle by multiplying them by the scale factor.
so,
2×f = 2×2 = 4
4×f = 4×2 = 8
6×f = 6×2 = 12
The lengths of DE, EF, and DF are 4, 8 and 12 respectively, (option 1)
What are similar triangles?Two triangles are said to be similar if their corresponding sides are in equal ratio and corresponding angles are congruent.
Given that, Δ ABC~ Δ DEF and the scale factor from Δ ABC to Δ DEF is 2
Since, the scale factor is 2, therefore each side of Δ ABC is increased by 2 in Δ DEF
Therefore,
DE = 2AB
EF = 2BC
DF = 2AC
Therefore,
DE = 4
EF = 8
DF = 12
Hence, the lengths of DE, EF, and DF are 4, 8 and 12 respectively, (option 1)\
For more references on similar triangles, click;
https://brainly.com/question/25882965
#SPJ2
Tony is 3 years older than Marie. This can be modeled with the following equation
Answer:
M = T - 3
Step-by-step explanation:
Given
T = M + 3 ( subtract 3 from both sides )
T - 3 = M , that is
M = T - 3
Answer:
[tex] \small \sf \: M = { \fbox { \green{T} } } - 3[/tex]
Step-by-step explanation:
T = M + 3
Swap the sides of of equations .
M + 3 = T
subtract 3 from both side
M + 3 - 3 = T - 3
M = T - 3
HELP ASAP!!!
The circle graph shows the percentage of visitors at a
convention who ordered various flavors of juice. There were 700
visitors at the convention.
About how many visitors ordered grape juice or apple juice?
Enter your answer in the box.
Step-by-step explanation:
40+24+11+8+17= 100
100 - 700
24 - ?
24×700/100
= 168 visitors ordered apple juice
100-700
11-?
11×700/100
=77 people ordered grape juice
Someone please help me on this and please tell me the answer directly please !!
Answer:
0.01
0.05y-0.12y-0.06
Answer:
First one should be: 0.05 + 0.1y = 0.12 + 0.06y
Second one is 100
Step-by-step explanation: Trust me:)))
question in picture | Math
Answer:
Y=4/-2
Step-by-step explanation:
In how many ways can u arrange the letters of the word MATHEMATICS taking three letters at a time?
Answer:
256 ways i think maybe
Step-by-step explanation:
Please help me with this problem
Answer:
Step-by-step explanation:
a*b *c = abc
15c = 15 . c
2a * 10b = 2* 10 * a * b = 20ab
The above mentioned expressions are true
That are false
12ab = 12a * 12b ----> false because 12ab = 12 * a* b
7a *7b = 14ab is false because 7a * 7b = 7 * 7* a *b = 49ab
If 12x = 60, what is the last step to solve for x?
A. multiply 12 to both sides
B. subtract 12 from both sides
C. add 12 to both sides
D. divide 12 from both sides
Answer:
D. divide 12 from both sides
Step-by-step explanation:
12x = 60,
Divide each side by 12
12x/12 = 60/12
x = 5
We have to find,
The last step to solve for x,
→ 12x = 60
Then use option (D),
D. divide 12 from the both sides,
→ 12x = 60
→ 12x/12 = 60/12
→ x = 5
Hence, option (D) is last step.
plz help me out with the answer and explaination
Answer:
7500 m
Step-by-step explanation:
5500 is the initial height. It increased by 1500, so 5500 + 1500 = 7000. Then it went down 2000 meters, so 7000 - 2000 = 5000. It went up 2500 again. 5000 + 2500 = 7500
Find the value of each variable.
4V3
b
60°
45°
C
d
Answer:
a = 6, b = 6√2, c = 2√3, d = 6
Step-by-step explanation:
Applying,
sin60° = a/4√3
Therefore,
a = sin60°×4√3
a = (√3/2)(4√3)
a = 3×2
a = 6
Also,
cos60 = c/4√3
c = cos60×4√3
c = 0.5×4√3
c = 2√3
also,
tan45 = a/d
d = a/tan45
d = 6/(1)
d = 6
Also,
sin45 = a/b
b = a/sin45
b = 6/(1/√2)
b = 6√2
Jalen's Mobile Phone Cost Number of minutes, x 150 220 250 275 Cost, y $7.50 $11.00 $12.50 $13.75 If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?
Answer:
ok so on the left ill put minutes and on the right ill put dollars
150=7.50
220=11.00
250=12.50
275=13.75
so now lets break this down by dividing the smallest numbers by 2 a couple times
75=3.75(2)
25=1.25(3)
1=0.05(25)
so for every minute on the phone you pay 5 cents
Hope This Helps!!!
Answer:
for every minute on the phone you pay 5 cents, add brainly plz.
Step-by-step explanation:
pls answer with explanation!
The manager of a small baseball stadium uses the equation y = 9000 -2.4x to model the relationship between y, the number of unfilled seats in the
stadium, and x, the number of cars in the parking lot. According to the model, how many cars will be in the parking lot when there are no unfilled seats in the stadium?
Answer:
3,750 cars.
Step-by-step explanation:
We are given that the equation:
[tex]y=9000-2.4x[/tex]
Models the relationsip between y, the number of unfilled seats in the stadium, and x, the number of cars in the parking lot.
We want to determine the number of cars in the parking lot when there are no unfilled seats in the stadium.
When there are no unfilled seats in the stadium, y = 0. Thus:
[tex]0=9000-2.4x[/tex]
Solve for x. Subtract 9000 from both sides:
[tex]-2.4x=-9000[/tex]
Divide both sides by -2.4:
[tex]x=3750[/tex]
So, there will be 3,750 cars in the parking lot when there are no unfilled seats in the stadium.
PLISSSSSSSS HELPPPPP!!!!!!!!!!!!!!!!!!!!!
I will give brainliest............
Find the circumference of a circle with diameter,
d
= 8cm.
Give your answer rounded to 3 SF.
Answer:
25.1 cm
Step-by-step explanation:
c = πd
c = π*8
c = 25.1327412287
Rounded
c = 25.1 cm
Need help~ What is the measure of arc sty in the circle O below
Answer:
50
Step-by-step explanation:
Arc AT the center = angle at the center = 50
