Answer:
19.9 cm²
Step-by-step explanation:
The following data were obtained from the question:
Angle at the centre (θ) = 150°
Diameter (d) = 7.8 cm
Area of sector =.?
Next, we shall determine the radius.
This can be obtained as illustrated below:
Radius (r) = Diameter (d) /2
r = d/2
Diameter (d) = 7.8 cm
Radius (r) =.?
r = d/2
r = 7.8/2
r = 3.9 cm
Finally, we shall determine the area of the sector as follow:
Angle at the centre (θ) = 150°
Radius (r) = 3.9 cm
Pi (π) = 3.14
Area of sector (A) =.?
A = θ/360 × πr²
A = 150/360 × 3.14 × 3.9²
A = 15/36 × 3.14 × 15.21
A = 19.9 cm²
Therefore, the area of the sector is 19.9 cm²
how do you do this with always never one solution 3х – 12 = 4х + 3 is this true or never true
3x - 12 = 4x + 3
3x - 4x = 3 + 12
-x = 15 / : (-1)
x = -15
Answer:
One solution
Step-by-step explanation:
3х – 12 = 4х + 3
3x - 4x = 3 + 12
-x = 15
x = -15
This is a one solution because x only equals 1 number.
Gregg’s phone plan charges $.50 per text message plus $.70 a day. Howard’s plan charges $.30 a text plus $2.50 a day. For what number of texts, a day are the cost of the phone plans the same? Show work.
Answer:
x=9
Step-by-step explanation:
.5x+.7 = .3x+2.5
-.7 -.3x
.2x=1.8
/.2 /.2
x=9
.5(9)+.7=5.2
.3(9)+2.5=5.2
Please answer this question now
Answer:
112°
Step-by-step explanation:
Arc CD is part of arc BCD, which is intercepted by the inscribed angle A.
Based on the inscribed angle theorem on circle, the sum of arc CD and CB is twice the measure of angle A.
That is:
CD + CB = 2(129°)
CD + 146 = 2*129
CD + 146 = 258
Subtract 146 from both sides to find CD
CD + 146 - 146 = 258 - 146
CD = 112°
Which expression is equivalent to
X^4
Jdnzusjdnekdjdnkdkelef
Pls help Q16 thx guys
Answer:
35°
Step-by-step explanation:
Extending line BC to point E on line AD
angle CED = 20° + 95°= 115°
ang|BCD|= ang|CED| + y
150°=115° + y
y= 150° - 115°
y= 35°
Answer:
y = 35°°
Step-by-step explanation:
∠BCD = 360 - 150 = 210°
Sum of angles of quadrilateral = 360°
210 + 20 + 95 + y = 360
325 +y = 360
Subtract 325 form both sides
y = 360 - 325
y =35°
A circle has a circumference of 153.86153.86153, point, 86 units.
What is the radius of the circle?
Answer:
Step-by-step explanation:
C=153.86153...
100000C=15386153.86153...
subtract
99999C=15386000
C=15386000/99999
2 π r=15386000/99999
r=7693000/99999π≈24.5
2.2.4.4.4=
plzz help
Answer:
what is this question ??
This answer will also same 2.2.4.4.4=2.2.4.4.4
4/5x - 1/10 = 3/10
what is the value of x ?
Answer:
x = 1/2Step-by-step explanation:
[tex]\frac{4}{5}x-\frac{1}{10}=\frac{3}{10}\\\\\mathrm{Add\:}\frac{1}{10}\mathrm{\:to\:both\:sides}\\\\\frac{4}{5}x-\frac{1}{10}+\frac{1}{10}=\frac{3}{10}+\frac{1}{10}\\\\\frac{4}{5}x=\frac{2}{5}\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\5\times \frac{4}{5}x=\frac{2\times \:5}{5}\\\\4x=2\\\\\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4}=\frac{2}{4}\\\\x=\frac{1}{2}[/tex]
Answer:
1/2
Step-by-step explanation:
isolate variable
solve
Please help me on this question
Answer:
you need to add 11 red circles
Step-by-step explanation:
1:3 one red and three blues
r=12 b=3
r:b =12:3
12:3 is the same as 4:1
you have to add 11 red circles
trigonometric identities help
Answer:
5/13
Step-by-step explanation:
Sin = 12/13
cos= 5/13
Tan= 12/5
What is the value of x ?
Answer:
x = 3
Step-by-step explanation:
Given two secants drawn from an external point to the circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
x(x + 21) = (x + 1)(x + 1 + 14)
x² + 21x = (x + 1)(x + 15) ← expand using FOIL
x² + 21x = x² + 16x + 15 ( subtract x² + 16x from both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Convert 7.5 gallons to quarts using a unit multiplier
Answer:
30 quarts
Step-by-step explanation:
4 quarts = 1 gallon
7.5 gallons * 4 quarts/ 1 gallon = 30 quarts
A poll of a registered voters is a small town is taken to determine their preferences in the national Presidential election. The results are then used to estimate the national vote. This sample is _______.
A. impartial
B. not representative
C. representative
D. unbiased
6
PO
2. In school of 900 studonts, it was
found that 600 students participate
in singing 500 students
in dancing and 125
do not participate
in both the activities.
participate
Answer:
[tex]B = 325[/tex]
Step-by-step explanation:
Given
Total = 900
Singing = 600
Dancing = 500
None = 125
Required
Determine the number of students that participate in both
Representing; Singing with S, Dancing with D, Both singing and dancing with B and None with N;
In Set Notation;
[tex]Total = (S - B) + (D - B) + N + B[/tex]
Substitute 900 for Total, 600 for S, 500 for D and 125 for N
[tex]900 = (600 - B) + (500 - B) + 125[/tex]
Open Brackets
[tex]900 = 600 - B + 500 - B + 125 + B[/tex]
Collect Like Terms
[tex]900 = 600 + 500 + 125 - B - B + B[/tex]
[tex]900 = 1225- B - B + B[/tex]
[tex]900 = 1225- B[/tex]
Collect Like Terms
[tex]900 - 1225 = -B[/tex]
[tex]-325 = -B[/tex]
Multiply both sides by -1
[tex]-1 * -325 = -B * -1[/tex]
[tex]325 = B[/tex]
Reorder
[tex]B = 325[/tex]
Hence, the number of students that do not participate in both is 325
Convert the following as a. 2 hours to second
1. First convert hrs into min by multiplying 60
= 2 *60=120min
2. Then multiply 60 in 120 to convert it into seconds
120*60=7200 sec
MARK AS BRANLIEST.Which is NOT a reasonable estimate?
A 683 + 431 = 1100
B 8236 X 387 = 3200
C 943 – 682 = 200
D 6247 + 312 = 20
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option C, 93.6 mi³
Step-by-step explanation:
Volume of the triangular prism,
(8×3.9/2)×6
= 93.6 mi³
ANSWER QUICK !!
Yuri is participating in a tund-raiser at school. She will receive donations from 2 people. A cousin will donate $0.40 for every 1/8 mile that Yuri walks.
A friend will give Yuri a one-time donation of $30
What is the minimum number of miles Yuri needs to walk to raise at least $507 Enter the answer in the box,
507 - 30 = 477
477 / 0.4 = 1192.5
1192.4 / 8 = 149.0625 miles or 150 miles
i don't know if this is right cause the answer seems so absurd
15. Paul is scuba diving and is 3.5 feet below
sea level. He is descending at a rate of 0.5
feet per minute. If Paul is now at 12 feet
below sea level, how many minutes has he
been diving?
Answer:
24min.
Step-by-step explanation:
he descends 0.5 feet per min. Its just like counting by 2's. I hope this helped!!
Answer:
17 minutes
Step-by-step explanation:
This equation can be expressed as .5m+3.5=12 where m = minutes. I put this in a graphing calculator but to solve this you can
12-3.5=8.5
8.5/.5 = 17
What is the value of 1/4m +n 8 - 6 = 12 *
Answer:
i dont know if you want me to solve for m
Step-by-step explanation:
Let's solve for m.
find the surface area of each figure. Round to the nearest tenth if necessary.
Answer: 318 km²
Let's find the areas of the triangles
Formula: base x height / 2
9 x 6 = 54
54/2 = 27
Multiply by 2 since there are two triangles (I know, we already got the areas from 9 x 6)
27 x 2 = 54
Now let's try to find the areas of all the rectangular sides
Formula: length x width
9 x 11 = 99
8 x 11 = 88
7 x 11 = 77
99 + 88 + 77 = 264
Add up all the areas
264 + 54 = 318
Paul, a dentist, determined that the number of cavities that develops in his patient's mouth each year varies inversely to the number of seconds spent brushing each night. His patient, Lori, had 4 cavities when brushing her teeth 30 seconds each night. Write the equation that relates the number of cavities, c, to the time, t, spent brushing. How many cavities would Paul expect Lori to have if she had brushed her teeth for 120 seconds each night?
Answer:
Step-by-step explanation:
Inverse variation is written as
[tex]y=\frac{k}{x}[/tex] which, in words, says "y varies inversely with x". If cavities varies inversely with time brushing, then
[tex]c=\frac{k}{t}[/tex]
We are given the initial condition for which we need to solve for k:
c = 4 when t = 30:
[tex]4=\frac{k}{30}[/tex] so
k = 120.
Now we will use that value of k to solve the problem of how many cavities, c, would she have if she brushed her teeth 120 seconds, t, each night:
[tex]c=\frac{120}{120}[/tex] (the 120 on top is the k value and the 120 on the bottom is the number of seconds she brushed) to get
c = 1
Answer:
1 cavity
Step-by-step explanation:
The inverse equation is x*y=k, where x is the amount of cavities, y is the time brushed, and k is a constant number. In your scenario, x is c and y is t, but you can really use any name for the variable. In the first equation 23 have 4*30=120, which is just a constant number. now that we know our constant, we can plug is into our second equation, and we get c*120=120. By dividing both sides by 120, c=1. This means that Paul will have 1 cavity.
in a 10 team league, each teams play every other team exactly twice. find the total number of games played in the league
Addition can be defined as the process of adding two numbers. The total number of games played in the league is 90.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given that in a 10-team league, each team play every other team exactly twice. Therefore, the total number of games that will be played by the first team is 18, similarly, the number of games that will be played by the second team is 16.
Therefore, as mentioned above the series will continue with a common difference of -2 and will continue till 0. Thus, the total number of games played in the league is,
Total number of games = 18 + 16 + 14 + 12 + 10 + 8 + 6 + 4 + 2 = 90
Learn more about Addition:
https://brainly.com/question/13167637
#SPJ2
Will Give Brainliest, answer ASAP x=
y=
z=
Opposite angles are identical.
11y = 55
Y = 55/11
Y = 5
3z-4 = 110
Add 4 to both sides
3z= 114
Z = 114/3
Z = 38
180 -110 = 70
55 + x = 70
X = 70-55
X =15
X = 15, y = 5, z = 38
Answer:x=15, y=5, z=38
Step-by-step explanation: you know that opposite angles are the same. y=5
add 4 to both sides. and you get the value for x y z.
△ABCis reflected to form △A′B′C′. The vertices of △ABC are A(-1, 3), B(2, 4), and C(-5, 6). The vertices of △A′B′C′ are A′(3, −1), B′(4, 2), and C′(6, −5). Which reflection results in the transformation of △ABC to △A′B′C′? Reflection across the x-axis reflection across the y-axis reflection across y = x reflection across y=−x
Answer:
reflection across y = x
Step-by-step explanation:
Transformation is the movement of a point from its initial position to a new position. If a shape is transformed, all its point are also transformed. Types of transformation is reflection, rotation, transformation and dilation.
If a point is reflected across the x axis, the x coordinate is the same but the y coordinates is negated. If X(x, y) is reflected across the x axis the new point is X'(x, -y)
If a point is reflected across the y axis, the y coordinate is the same but the x coordinates is negated. If X(x, y) is reflected across the y axis the new point is X'(-x, y)
If a point is reflected across y = x, the x coordinate and y coordinates are interchanged. If X(x, y) is reflected across the y=x axis the new point is X'(y, x)
If a point is reflected across y = -x, the x coordinate and y coordinates are interchanged and both negated. If X(x, y) is reflected across the y=ix axis the new point is X'(-y, -x)
The vertices of △ABC are A(-1, 3), B(2, 4), and C(-5, 6). The vertices of △A′B′C′ are A′(3, −1), B′(4, 2), and C′(6, −5). The reflection of △ABC to form △A′B′C′ shows a reflection across x axis since the x and y coordinates are interchanged
Answer:
reflection across y = x
Step-by-step explanation:
Help me come up with a YT name plz. I’m looking for something that POPS, but I keep coming up with the same names/words.
I REALLY need help with these 3 questions plz!!!!
Answer:
6. No. See explanation below.
7. 18 months
8. 16
Step-by-step explanation:
6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.
Let's find the GCF of 85 and 99:
85 = 5 * 17
99 = 3^2 + 11
5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.
Answer: No because the GCF of 85 and 99 is 1.
7.
We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.
6 = 2 * 3
9 = 3^2
LCM = 2 * 3^2 = 2 * 9 = 18
Answer: 18 months
We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.
Month Charlie Dasha
1 home home
2 home home
3 home home
4 home home
5 home home
6 trip home
7 home home
8 home home
9 home trip
10 home home
11 home home
12 trip home
13 home home
14 home home
15 home home
16 home home
17 home home
18 trip trip
Answer: 18 months
8.
First, we find the prime factorizations of 96 an 80.
96 = 2^5 * 3
80 = 2^4 *5
GCF = 2^4 = 16
Answer: 16
piz help me!!!!
[tex]look \: at \: pic \: piz[/tex]
MP Find the Error Katrina states that
3.5 X 104 is greater than 2.1 x 106 because
3.5 > 2.1. Explain her mistake and correct it.
Answer:
3.5 X 10^4 < 2.1 x 10^6
Step-by-step explanation:
3.5 X 10^4 < 2.1 x 10^6
The first thing we look at is the exponent
10 ^4 is less than 10^6
10000 < 1000000
If the exponents are the same, then we look at the numbers out front
please please please help me with this assignment :)
Answer:
$45.63
Step-by-step explanation:
[tex]50,145 cm^{3} * 2.6 g/cm^3 = 130,377 g\\130,377 g = 130.377 kg\\130.377 kg * $0.35/kg = $45.63\\[/tex]
or all together
50,145 cm³ * 2.6 g/cm³ * 0.35/kg = $45.63