Answer:
100,000
Step-by-step explanation:
100,000 x 2 is 200,000
Question 11:
A diesel train traveled to Johannesburg and back. The trip there took 6 hours and
the trip back took 9 hours. It averaged 23 miles per hour faster on the trip there
than on the return trip. Find the diesel train's average speed on the outbound (first
part traveling to Johannesburg) trip.
Answer:
69 miles per hour
Step-by-step explanation:
Given
Trip to:
[tex]t_1 = 6[/tex] --- time
[tex]s_1 = 23 + s_2[/tex]
Trip back
[tex]t_2 = 9[/tex]
Required
Determine the average speed to Johannesburg
Average speed is calculated as:
[tex]speed = \frac{distance}{time}[/tex]
Make distance the subject
[tex]distance = speed * time[/tex]
Since distance is constant, then:
[tex]s_1 * t_1 = s_2 * t_2[/tex]
This gives:
[tex](23 + s_2) * 6 = s_2 * 9[/tex]
Open bracket
[tex]138 + 6s_2 = 9s_2[/tex]
Collect like terms
[tex]9s_2 - 6s_2 = 138[/tex]
[tex]3s_2 = 138[/tex]
Solve for s2
[tex]s_2 = 138/3[/tex]
[tex]s_2 = 46[/tex]
Recall that:
[tex]s_1 = 23 + s_2[/tex]
[tex]s_1 = 23 + 46[/tex]
[tex]s_1 = 69[/tex]
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit
in your answer.
4m
0
DO
BO
וח
m
m
2 m
х
4 m
3 ?
1
1
5m
Answer:
Step-by-step explanation:
Please answer it. I will give brainliest if its correct..
First find the circumference of the circle:
Circumference = 2 x radius x pi
Circumference = 2 x 4 x 3.14 = 25.12 cm
Now arc ML is 100 degrees.
Multiply the circumference by the arc degree/360 ( 360 is a full circle)
25.12 x 100/360 = 6.98 cm
The answer is 6.98 cm
I NEED HELP !! PICTURE IS UP THERE ^
In the figure below, m_2=81º. Find mZ1, mZ3, and mZ4.m 21 =21m 23 =34m 2 4 =
PLEASE HELP MEE IM STRUGGLING I DONT GET THIS AT ALL!!
Answer:
[tex]\angle 1 = 99^\circ[/tex]
[tex]\angle 3 = 99^\circ[/tex]
[tex]\angle 4 = 81^\circ[/tex]
Step-by-step explanation:
Given
[tex]\angle 2 = 81^\circ[/tex]
Required
Determine: [tex]\angle 1 . \angle 3 , \angle 4[/tex]
Solving for [tex]\angle 1[/tex], we have:
[tex]\angle 2 + \angle 1 = 180^\circ[/tex] --- angle on a straight line
So, we have:
[tex]\angle 1 = 180^\circ-\angle 2[/tex]
[tex]\angle 1 = 180^\circ-81^\circ[/tex]
[tex]\angle 1 = 99^\circ[/tex]
To solve for [tex]\angle 3, \angle 4[/tex], we have:
[tex]\angle 3 = \angle 1[/tex]
[tex]\angle 4 = \angle 2[/tex] --- Vertically opposite angles
So:
[tex]\angle 4 = 81^\circ[/tex]
[tex]\angle 3 = 99^\circ[/tex]
Consider the arithmetic sequence:
3,5,7,9,..,
If n is an integer, which of these functions generate the sequence?
Choose all answers that apply:
a(n)=3+2n for n≥0
b(n)=3n for n≥1
c(n)=-1+2n for n≥2
d(n)=-6+3n for n≥3
[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex] functions generate the arithmetic sequence.
What is arithmetic sequence?It is a "sequence where the differences between every two successive terms are the same" (or) In an arithmetic sequence, "every term is obtained by adding a fixed number (positive or negative or zero) to its previous term".
The first term of an arithmetic sequence is a, its common difference is d, n is the number of terms.
Arithmetic sequence formula is given as, [tex]a_{n} =a+(n-1)d[/tex].
Given arithmetic sequence
[tex]3, 5, 7, 9,.....[/tex]
n is an integer
[tex]a = 3[/tex]
By considering the above arithmetic sequence, we can say that each term in the sequence is in the form of 3 + 2n, where , n ≥ 0.
So, the correct option is A
[tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex]
Thus, [tex]a(n) = 3 + 2n[/tex] for [tex]n \ge 0[/tex] functions generate the arithmetic sequence.
Find out more information about arithmetic sequence here
https://brainly.com/question/15412619
#SPJ3
4(x+2) help please.
Answer:
4x + 8
Step-by-step explanation:
4(x+2)
4*x + 4*2
4x + 8
[tex] \large\sf \leadsto 4(x + 2)[/tex]
[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]
[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]
PART 1:
In the diagram below, ΔRST is a right triangle, write the equation you would use to solve for side RT. (For example, cos20 = 13/x )
PART 2:
Using the equation you wrote above, solve for side RT and round your answer to the nearest tenth.
Answer:
[tex](a)\ \sin(46) = \frac{8}{RT}[/tex]
[tex](b)\ RT = 11.1[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a): Equation to determine RT
To do this, we apply sine formula
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(46) = \frac{8}{RT}[/tex]
Solving (b): Solve the equation
[tex]\sin(46) = \frac{8}{RT}[/tex]
Make RT the subject
[tex]RT = \frac{8}{\sin(46)}[/tex]
[tex]RT = \frac{8}{0.7193}[/tex]
[tex]RT = 11.1[/tex]
What is the best way to gather information for each of the scenarios? Select Survey, Experiment, or Observational study for each scenario. Survey Experiment Observational study A director wants to know what his singers do before a performance. Survey – A director wants to know what his singers do before a performance. Experiment – A director wants to know what his singers do before a performance. Observational study – A director wants to know what his singers do before a performance. A director wants to know who his best soprano is. Survey – A director wants to know who his best soprano is. Experiment – A director wants to know who his best soprano is. Observational study – A director wants to know who his best soprano is. A director wants to know how verbally disciplining a singer affects the group. Survey – A director wants to know how verbally disciplining a singer affects the group. Experiment – A director wants to know how verbally disciplining a singer affects the group. Observational study – A director wants to know how verbally disciplining a singer affects the group. A director wants to know what musical is the most popular in the community. Survey – A director wants to know what musical is the most popular in the community. Experiment – A director wants to know what musical is the most popular in the community. Observational study – A director wants to know what musical is the most popular in the community.
Answer:
1. A director wants to know what his singers do before a performance. - Survey
2. A director wants to know who his best soprano is. - Observational Study
3. A director wants to know how verbally disciplining a singer affects the group. - Observational Study
4. A director wants to know what musical is the most popular in the community. - Survey
Step-by-step explanation:
I just took the same quiz :)
probability of an even number both times
Answer:
1/4
Step-by-step explanation:
The possible outcomes are :
1,2,3,4,5,6
We can see that there is a 3/6 (or 1/2) chance the outcome is even
Let E= odds of getting an even
we're looking for E∩E
Because each roll is independent of the last we can multiply to find their intersection
.5*.5= .25 or 1/4
Plz help Desperate, question in photo
Answer:
The answer is 6 and 12
Step-by-step explanation:
1x3= 3
6×3= 18
2×3=6
4×3=12
Which value of x is a solution of x < -2?
A.
-3
B. -2
C.
-1
D. 0
Answer:
A
Step-by-step explanation:
-3<-2
!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the solution to the equation 7.5 minus X =2.8?
Image above
Answer: A
Step-by-step explanation:
4.7+2.8 = 7.5
And
7.5 -4.7 = 2.8
y=x+5
please help me with this problem I'm really struggling to answer the question.
Answer:12
Step-by-step explanation:just know i did it and got it right
Determine the volume if the figures below round to the nearest hundredth
Answer:
48 m³
4,186.67 km³
Step-by-step explanation:
volume of pyramid =
⅓×6×6×4 = 48 m³
volume of ball =
4/3 × 3.14 × 10³ = 4,186.67 km³
A triangle has angles with measures of (3x) (2x - 13)", and (5x+3).
What is the measure of the smallest angle in the triangle?
O A. 17°
O B. 190
O c. 25°
OD. 57°
Answer:
c. 25°
Step-by-step explanation:
Sum of angles in a triangle:
The sum of the measures of the angles of a triangle is 180º.
In this question:
Angles of 3x, 2x-13 and 5x + 3.
The sum is 180º. So
[tex]3x + 2x - 13 + 5x + 3 = 180[/tex]
[tex]10x - 10 = 180[/tex]
[tex]10x = 190[/tex]
[tex]x = \frac{190}{10}[/tex]
[tex]x = 19[/tex]
Measure of each angle:
3x = 3(19) = 57º
2x - 13 = 2(19) - 13 = 38 - 13 = 25º
5x + 13 = 5(19) + 3 = 95 + 3 = 98º
The smallest angle is 25º, and the correct answer is given by option c.
A right rectangular prism has a volume of 470.40 cm³. The length of the solid is 6.4 cm and the width is 9.8 cm.
What is the height of the right rectangular prism?
Answer: 720.3
Step-by-step explanation:
First you divide 6.4 by 9.8 then you divide by 470.40 to get 720.3
Hope this helps
PLEASE HELP WILL MARK BRAINLYIST HELP
if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2
Answer:
2.5/40=2/y
2.5y=40x2
2.5y=80
y=80/2.5
y=32
Given that f(x) = x^2 – 13x + 36 and g(x) = x – 9, find (f + g)(x) and express the result in standard form.
Answer: fx + gx
f(x) =x^2 -13x + 36
g(x) = x - 9
3 Select the correct answer. Which measure of center is the most appropriate for this data set? 20, 6, 42, 13, 15, 10, 9, 12, 12
A mean
B median
C mode
D mean absolutely median
Answer:
B median
Step-by-step explanation:
The median is the center of any data set
Need help ill give brainlest!!!!!!!!! HURRYYYY
Answer:
4
Step-by-step explanation:
hmm i dont know this is a pretty hard 1
what's ur fav show I'm looking for recommendations
Answer:
rn its currently gossip girl and Miraculous...but im watching game of thrones rn and I AM OBSESSED
Step-by-step explanation:
Answer:
For Anime Shows, Danganronpa, Naruto, Fruits Basket, and Attack on Titan! I love them all.
And for like just TV shows, Miraculous
Help please! Much appreciated
Answer:
a. Sin B = 15/17
b. Cos B = 8/17
c. Tan B = 15/8
Step-by-step explanation:
Recall: SOHCAHTOA
Reference angle = B
Opp = 15
Adjacent = 8
Hypotenuse = 17
a. Sin B = Opp/Hyp (applying SOH)
Substitute
Sin B = 15/17
b. Cos B = Adj/Hyp
Substitute
Cos B = 8/17
c. Tan B = Opp/Adj
Substitute
Tan B = 15/8
PQRS. is a rectangle . find angle OPS if angle QOR is given
Please give full explanation i will mark you as brain list plzz kuch bakwaas mat likhana warna report kar dungi
Answer:
[tex]\angle OPS = 142^\circ[/tex]
Step-by-step explanation:
Given
The attached rectangle
[tex]\angle QOR = 142^\circ[/tex]
Required
Determine [tex]\angle OPS[/tex]
[tex]\angle OPS = \angle QOR[/tex] --- vertically opposite angles
Hence:
[tex]\angle OPS = 142^\circ[/tex]
5 + {[2 X (14 - 9)] - 1}
Answer:
14
Step-by-step explanation:
[tex] 5 + (2 \times (14 - 9) - 1) \\ = 5 + (2 \times 5) - 1 \\ = 5 + (10 - 1) \\ = 5 + 9 \\ = 14[/tex]
If I made $20 in 4 hours, what is the rate at which I made money?
Answer:
it would be five each hour.
Step-by-step explanation:
Find the missing side lengths, leave your answers as radical in simplest form. ( Please answer ASAP!)
Answer:
9) a = 8, b = 4√2
10) x = 7√2, y = 7
11) x = 5√2, y = 5
12) a = 10, b = 5√2
Step-by-step explanation:
You can notice all these triangles are special as 45° - 45° - 90° triangles. In 45° - 45° - 90° triangles, the hypotenuse is √2 times the sides. We can set up these equations and solve:
9)
a = 4√2 * √2
a = 8
Since the triangle is isosceles, the legs are the same length, so:
b = 4√2
10)
x = 7 * √2
x = 7√2
Since the triangle is isosceles, the legs are the same length, so:
y = 7
11)
x = 5 * √2
x = 5√2
Since the triangle is isosceles, the legs are the same length, so:
y = 5
12)
a = 5√2 * √2
a = 10
Since the triangle is isosceles, the legs are the same length, so:
b = 5√2
If A = {2, 3, 4, 5} B = {4, 5, 6, 7} C = {6, 7, 8, 9} D = {8, 9, 10, 11}, find (A ∪ B) ∪ C
Answer:
(AUB)UC=2,3,4,5,6,7,8,9
put all these numbers inside curly bracket
Step-by-step explanation:
If 18 people share a barrel of apples equally,each gets 12 apples.if there had been 6 fewer people,how many apples would each person get ?
Answer:
18 apples
Step-by-step explanation:
If 18 people each get 12 apples, then the total number of apples is 18*12=216.
If there were 6 fewer people, there would 18-6=12 people.
To split the total 216 apples between 12 people, so 216/12=18.
Each person would get 18 apples.
help me!!!!!!!!!plzzz
Answer:
B. 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.