Answers
Answer:
[tex]x = 15[/tex]
Step-by-step explanation:
Since lines f and g are parallel, that means that the top angles will be the same, while the bottom angles will also be the same.
The angles of any quadrilaterals all add up to 360°, so we can create the equation like this:
[tex]3x + 3x + (6x + 45) + (6x+45) = 360[/tex]
Combine like terms so we can get a simpler equation:
[tex]6x + 12x + 90 = 360\\18x + 90 = 360[/tex]
Now let's solve for x!
[tex]18x + 90 - 90 = 360 - 90\\18x = 270\\18x\div18 = 270\div18\\x = 15[/tex]
So [tex]x = 15[/tex].
Hope this helped!
Answer:
15
Step-by-step explanation:
3x + 6x + 45 = 180
9x = 135
x = 15
Related Questions
Please help me!!! It is urgent. I added 2 more points to this, so please help!
Find x.
A. 11√42/2
B. 22√7
C. 11√42
D. 22v42/3
Answers
It has this ratio: 1: sqrt3 : 2.
As for the other triangle, it has a 45-45-90 triangle rule.
It includes this ratio: 1: 1 : sqrt2
Hope this helps!
Ayuda es para mañana El estudiante 1 y el estudiante 2 están a 53 metros, uno del otro. El estudiante 1, desde su posición, ve una caja fuerte, e inmediatamente mide el ángulo que el mismo forma con el estudiante 2, resultando de 37°. El estudiante 2, al advertirlo , mide enseguida el ángulo que forma la caja fuerte con el estudiante 1, resultando de 43°. ¿cual de los dos se halla más cerca de la caja fuerte?
A. El estudiante 2, ya que está aproximadamente a 32,29 metros.
B. El estudiante 1, ya que está aproximadamente a 32,29 metros.
C. El estudiante 2, ya que está aproximadamente a 37,28 metros.
D. El estudiante 1, ya que está aproximadamente a 37,28 metros.
Answers
Answer:
La opción correcta es;
Estudiante 2, ya que está aproximadamente a 32,39 metros de distancia
Step-by-step explanation:
Los parámetros dados son;
La distancia entre los dos estudiantes = 53 metros
El ángulo medido entre la línea del Estudiante 1 a la caja fuerte y el Estudiante 1 y el Estudiante 2 = 37 °
El ángulo medido entre la línea del Estudiante 2 a la caja fuerte y el Estudiante 2 y el Estudiante 1 = 43 °
Dado que los dos estudiantes y la caja fuerte forman los vértices de un triángulo, tenemos;
Sea θ el ángulo del triángulo opuesto a la distancia entre los dos estudiantes
Por lo tanto;
θ + 43 ° + 37 ° = 180 ° (teorema de suma de ángulos)
θ = 180 ° - (43 ° + 37 °) = 100 °
Por regla del seno, tenemos;
a / (sin (A) = b / sin (B)
Por lo tanto;
53 / (sin (100 °)) = b / (sin (37 °)) = c / (sin (43 °))
Lo que da;
b = (sin (37 °)) × 53 / (sin (100 °)) = 32,39 metros
c = (sin (43 grados)) × 53 / (sin (100 grados)) = 36,7 metros
Por lo tanto, el Estudiante 2 está más cerca, ya que está aproximadamente a 32,39 metros de distancia.
What is the midpoint of the segment shown below (1, 2) and (1, -5)
Answers
Answer: 1, -3/2
Step-by-step explanation:
15. In a class of 40 students, 15 passed in Mathematics and Science both and 20 passed in only one subject. How many students failed in both the subjects? (A) 5 (B) 25 (C) 20 (D) 45
Answers
What is the radius of a hemisphere with a volume of 885 in^3, to the nearest tenth of
an inch?
Answers
Answer:
The desired radius is r = 7.5 inches
Step-by-step explanation:
The formula for the volume of a sphere of radius r is V = (4/3)πr³. A hemisphere is half a full sphere, so the formula for the volume of a hemisphere of radius r is (4/3)(1/2)πr³, or (2/3)πr³.
We know that the volume of the hemisphere is 885 in³:
885 in³ = (2/3)πr³ and need to solve this first for r³ and then for r.
This is equivalent to:
885 in³ = (2π/3)r³.
We can now isolate r³ by multiplying both sides of this equation by (3 / [2π]):
(3 / [2π])(885 in³) = (3 / [2π])(2π/3)r³ = r³
Then r³ = 422.556 in³
Finally, we find the desired hemisphere radius by taking the cube root of both sides of the above equation:
r = ∛(422.556 in³) = 7.5 in (which is to the nearest tenth of an inch)
The desired radius is r = 7.5 inches
What is the scale factor?
Answers
Answer: B
Step-by-step explanation:
You can see that the length of the sides from abc are factored by 1/3 to get the length of xyz. Therefore, the scale factor is 1/3.
3
Step-by-step explanation:
As you can see we can compare one side of the larger triangle to the other one by seeing the length of the side
One side measures 27 while another one measures 9 (from the other triangle) to get to 9 starting by 27, we divide by 3…
WILL GIVE THE BRAINLIEST. PLEASE HELP.
Answers
Answer:
300 miles.
Step-by-step explanation:
Distance = Rate * Time
We know the rate, 80 miles per hour.
We know the time, 3.75 hours.
As these use the same time unit, hours, we don't need to change any values.
We can just put these values into the formula:
[tex]d=r*t[/tex]
[tex]d=80*3.75=300[/tex]
Answer: 300 miles.
The following equation has how many solutions? \left|x-1\right|=7 ∣x−1∣=7
Answers
Answer:
Two solutions.
[tex]x = 8, -6[/tex]
Step-by-step explanation:
Given the equation:
[tex]\left|x-1\right|=7[/tex]
To find:
Number of solutions to the equation.
Solution:
First of all, let us learn about modulus function.
[tex]|x|=\left \{ {{x\ if\ x>0} \atop {-x\ if\ x<0}} \right.[/tex]
i.e. Modulus function changes to positive by adding a negative sign to the negative values.
It has a value equal to [tex]x[/tex] when [tex]x[/tex] is positive.
It has a value equal to -[tex]x[/tex] when [tex]x[/tex] is negative.
Here, the function is:
[tex]|x-1|=7[/tex]
So, two values are possible for the modulus function:
[tex]\pm(x-1)=7[/tex]
Solving one by one:
[tex]x-1 = 7\\\Rightarrow x =8[/tex]
[tex]-(x-1) = 7\\\Rightarrow -x+1=7\\\Rightarrow x = -6[/tex]
So, there are two solutions, [tex]x = 8, -6[/tex]
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 221(1.09) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2008? A. 19%; $479.99 million B. 19%; $240.89 million C. 9%; $404.00 million D. 9%; $440.36 million
Answers
Answer:
D. 9%, 440.36 million
Step-by-step explanation:
w = 221(1.09)t
9%, 440.36 million
Desmond is 2 inches taller than Niki. If we let w represent Nikis height in inches, write an algebraic expression for Desmonds height. Enter your answer as an expression. Example: 3x^2+1
Answers
Answer:
w + 2
Step-by-step explanation:
Niki's height = w in
Desmond height = w + 2
Answer:
w+2
Step-by-step explanation:
Since Desmonds is 2 inches taller than Niki, w+2 would make the most sense.
A circular hall has a hemispherical roof.
The greatest height is equal to the
inner diameter. If the capacity of
the hals is
the
floor is.
43510 m^3
then
area
of the
Answers
Answer:
Area=1,288.88m²
Step-by-step explanation:
A circular hall(big room) has a hemispherical roof.The greatest height is equal to the inner diameter.Find the area of the floor,given that the capacity of the hall is 43510 cubic meter
Solution
let
diameter = D
radius,r = D/2
Greatest height = D
height of cylindrical part (h)= D-r = r
radius of cylindrical part = r
area of floor = πr²
volume = volume of cylindrical part + volume of hemispherical part
= πr²h + 2/3 πr³
Recall h=r
volume = πr³ + 2/3 πr³
43510=5/3πr³
Make r the subject
r=3√(43510*3)/5π
=3√(130,530/15.7
=3√8,314.01
=20.26
Area of floor = πr²
=3.14*(20.26)²
=3.14*410.47
=1,288.88m²
Lines T U and R S intersect lines M N and P Q. Where line T U intersects with lines M N and P Q, right angles are formed. Lines M N and P Q are straight lines that are next to each other and they will never intersect. Lines T U and R S are next to each other and could intersect. Which two statements are both true?
Answers
c. Tu | MN and MN || PQ I am done with the interview
what is the value of -19- (-18)?
Answers
Answer:
-1 is the answer
Step-by-step explanation:
I can't do the explanation of this question
Answer:
-1
Step-by-step explanation:-19 + 18 is basically how it is they end up canceling each other out except for the -1 which is the answer.
10. In 2005 there were 9 million bicycles in Beijing, correct to the
nearest million.
The average distance travelled by each bicycle in one day was
6.5 km correct to one decimal place.
Work out the upper bound for the total distance travelled by all the
bicycles in one day,
Answers
Answer:
Total distance = 6,540,000 km
Step-by-step explanation:
Given
Number of bicycles = 9,000,000
Average Distance = 6.5 km (to 1 d.p)
Required
Calculate the upper bound of all bicycle distance
First, we need to determine the range of the distance traveled by each bicycle;
Since, the average distance is approximated, then the Range is:
[tex]Range = (6.45km\ to\ 6.54km)[/tex]
All number in this range approximate to 6.5km
Note that the upper bound of the range is 6.54km;
Hence, total distance is calculated as thus;
[tex]Total\ distance = Number\ of\ bicycle * upper\ bound[/tex]
[tex]Total\ distance = 1,000,000 * 6.54km[/tex]
[tex]Total distance = 6,540,000km[/tex]
Once again, move points C, D, and E on the circle, and complete the table below. This time, you’ll consider what happens to the lengths of the sides of quadrilateral BCDE. Notice that m∠B is predetermined, so set that angle measure first.
Answers
Answer:
Also to help some of you out here’s the answer to question 6 !!
Question 6 : No apparent relationship exist between the side lengths of quadrilateral BCDE inscribed in circle A
Step-by-step explanation:
the question is "13, 17, 21, 23, 29 one of the numbers is different from the rest, which one and why?"
step by step explanation
Answers
Answer:
21
Step-by-step explanation:
it is not a prime number, according to prime number only the number and 1 can it be divided but here 21 can be divided by 1,3,7 and 21 itself. Therefore others are prime number except 21
What is 30% of R210 and show your working out.
Answers
[tex]\\ \qquad\quad\sf\longmapsto 30\%\:of\:210[/tex]
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{30}{100}\times 210[/tex]
[tex]\\ \qquad\quad\sf\longmapsto \dfrac{6300}{100}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto 63[/tex]
Step-by-step explanation:
[tex]★→30\% \: of \: 210 \\=>\frac{30}{100} \times 210 \\ =>\frac{6300}{100} \\ => \boxed{63}✓[/tex]
30% of 210 is 63.How to do this question plz answer me step by step plzz
Answers
Answer:
Hope it helps U can still ask me if u have confusions
Answer:
60+16√30 cm² ≈ 147.64 cm²
Step-by-step explanation:
You can figure the height of the object from ...
V = Bh
120 cm^3 = (30 cm^2)h
4 cm = h . . . . . divide by 30 cm^2
However, this is insufficient to tell you the surface area.
__
If you assume that the base is square, then its side length is
A = s^2
s = √A = √(30 cm^2) = (√30) cm
The lateral surface area can then be found from the perimeter of the base and the height
LA = Ph = (4√30 cm)(4 cm) = 16√30 cm^2
The total surface area will be the sum of this lateral area and the area of the two bases:
total area = 16√30 cm^2 +2·30 cm^2
total area = (60 +16√30) cm^2 ≈ 147.64 cm^2
__
For any other shape, the total area will be larger. It can be arbitrarily large, unless limits are put on the dimensions of the object.
Arc length practice
Answers
Answer:
[tex]\large\boxed{s = 4\pi}[/tex]
Step-by-step explanation:
The arc length is determined by the formula [tex]s=r\theta[/tex], where s is the arc length, r is the radius, and [tex]\theta[/tex] is the value of the central angle (in radian formatting).
By substituting the values for the radius and the central angle, you can solve for the arc length.
[tex]\text{The radius is half of the diameter -} \: \boxed{\frac{4}{2}=2}[/tex].
The central angle is converted to radian form by multiplying the angle in degrees by the fraction of π/180 - 360° * π/180 = 360π/180 = 2π.
Now, substitute the values and solve for s.
s = (2)(2π)
[tex]\large\boxed{s = 4\pi}[/tex]
A container in form of a frustum of a cone is 16 cm in diameter at the open end and 24 cm diameter at the bottom. If the vertical depth of the container is 8 cm calculate the capacity of the container.
Answers
Answer:
The capacity of the container is 2546.78 cm³.
Step-by-step explanation:
The volume of the frustum of a cone is:
[tex]\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}][/tex]
The information provided is:
r = 16/2 = 8 cm
R = 24/2 = 12 cm
h = 8 cm
Compute the capacity of the container as follows:
[tex]\text{Volume}=\frac{\pi h}{3}\cdot[R^{2}+Rr+r^{2}][/tex]
[tex]=\frac{\pi\cdot8}{3}\cdot[(12)^{2}+(12\cdot 8)+(8)^{2}]\\\\=\frac{8\pi}{3}\times [144+96+64]\\\\=\frac{8\pi}{3}\times304\\\\=2546.784445\\\\\approx 2546.78[/tex]
Thus, the capacity of the container is 2546.78 cm³.
find the volume of a cylinder if the radius is 8cm and the height is 15cm?
Answers
Answer:
3015.92894745 cm^3
Step-by-step explanation:
Formula for volume of cylinder(v)= πr^2h
Here,
r=8 cm
h=15cm
Now,
V=πr^2h=π8^2*15=π64*15=960π=3015.92894745 cm^3
[tex]2\pir = 1828 + 49 = [/tex]Hey Shona playing how much town
What is Mary's net worth if her assets total $16000, her gross income is $45000, her student loan debt is $22000 (she has no other debts), and her annual expenses (including taxes) total $40000?
Answers
Answer:
$ 143000
Step-by-step explanation:
her net worth is her assets and income minus her debts and expenses
160000 + 45000 - 22000 - 40000 = 143000
Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the constant. (1, 3) m = 2
Answers
Answer:
y= 2x+1
hope it helps...........
Find the length of the third side. If necessary, round to the nearest tenth.
15
12
Answer:
Submit Answer
attempt 1 out of 2
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PLS HELP ASAP
Answers
Answer:
The length of the third side is 9.
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
12² + b² = 15²
144 + b² = 225
√b² = √81
b = 9
The probability that it rains is about 20%.
The probability that the bus is late is about 8%.
The probability that it rains and the bus is late is about 3%.
The probability that the train is late is about 5%.
The probability that it rains and the train is late is about 1%.
6. To decide whether the rain and the train running late are dependent or independent events, first define the two events and then write their probabilities as decimals. (3 points) Let event A = ________________________. P(A) = ______. Let event B = ________________________. P(B) = ______. A and B = ________________________. P(A and B) = ______. 7. Use the probabilities from question 6 to decide whether the rain and the train running late are independent or dependent events. (2 points: 1 point for the correct math, 1 point for the conclusion)
Answers
Answer:
Step-by-step explanation:
Let A= probability it rains
P(A)=0.2
Let B be the probability that the train is late = 0.05
P(B)=0.05
A and B is A∩B= the probability it rains and the bus is late =0.01
probability pf (A and B)=0.01
7) independent events are related by expression:
A∩B=P(A)*P(B)
=0.2*0.05=0.01
check :
p(A|B)=P(A∩B)÷P(B)=0.01/0.05= 0.2
the two event are independent
Answer:
The two are independent.
Step-by-step explanation:
Please help!
Match each system on the left with the number of solutions that it has on the right.
Answers
Answer:
1. No solution
2. Infinitely many solutions
3. Infinitely many solutions
4. One solution
Step-by-step explanation:
1.
x=y-3
2x-2y=6
Substitute x=y-3 in (2)
2(y-3)-2y=6
2y-6-2y=6
2y-2y=6+6
0=12
No solution
2.
5x+2y=-7
10x+4y=-14
Multiply (1) by 2 and (2) by 1
10x+4y=-14
10x+4y=-14
Subtract (3) from (4)
0+0=0
0=0
Infinitely many solutions
3.
y=2x+1
4x-2y=-2
Substitute y=2x+1 into (2)
4x-2(2x+1)=-2
4x-4x-2=-2
4x-4x=-2+2
0=0
Infinitely many solutions
4.
9x+6y=15
2y= -1+3x
From 2
2y+1-3x=0
-3x+2y=-1
9x+6y=15 (1)
-3x+2y=-1 (2)
Multiply (2) by 3
-9x+6y=-3
9x+6y=15
Subtract (3) from (1)
9x-(-9x)=15-(-3)
9x+9x=15+3
18x=18
x=18/18
=1
x=1
Substitute x=1 into (1)
9x+6y=15
9(1)+6y=15
9+6y=15
6y=15-9
6y=6
y=6/6
=1
One solution
what is the equation in slope intercept form 3 y - 9= 12x please help fast
Answers
Answer:
Step-by-step explanation:
Slope intercept form is y = mx + b where m is the slope and b is the y intercept SO
y = mx + b
3y - 9 = 12x
3y = 12x + 9 (divide by common denominator 3)
y = 4x + 3
1+cos(8x)= A.4cos(2x) B.2cos^2(4x) C.4sin(2x) D.2sin^2(4x)
Answers
Answer:
bro please send in a picture format so that it could be more easier
Evaluate the expression for c = 11.
-1 - C=
Answers
Answer:
c=-12
Step-by-step explanation:
place 11 in for C > -1-11=
subtract 11 from -1. -12
help me pleaseeee <333 .
Answers
Answer:
3 one
Step-by-step explanation:
Answer:
3 option is correct
Step-by-step explanation:
gd afternoon
have a lovely day