Answer:
x= 2
z = 106
Step-by-step explanation:
By the definition of vertically opposite angles,
(10x + 54)° = 74° [Pair of opposite angles made by two intersecting lines]
10x = 74 - 54
10x = 20
x = 2
z° + 74° = 180° [Pair of supplementary angles]
z = 180 - 74
z = 106
In 1846 the depth of the river was 6.7 feet deep. In 1847 it dropped 9%. This year, 1848, it rose 7% What is the depth now.
Answer:
6.5237 feet.
Step-by-step explanation:
initial depth of river H = 6.7 ft
In 1847 it dropped 9%, this means the new depth will be 91% of 6.7
that is (91/100)×6.7 = 6.097 ft
Now in the year , 1848 the depth gain rose by 7%, this means now the new depth 107% of 6.097
= (107/100)×6.097 = 6.5237 feet.
Therefore, new of the depth of river in 1848 = 6.537 ft
Find the volume of the cone.
12 cm
r = 8 cm
V = [?] cm3
Round to the nearest tenth.
Enter
Answer:
V = 803.8 cm^3
Step-by-step explanation:
h = 12cm
r = 8cm
V = [tex]\frac{1}{3}[/tex] [tex]\pi[/tex][tex]r^{2}[/tex]h
V = [tex]\frac{1}{3}[/tex] [tex]\pi[/tex][tex](8)^{2}[/tex] (12)
V = 4 [tex]\pi[/tex] (64)
V = 803.84
Answer:
800
Step-by-step explanation:
[tex]V=\pi r^{2} \frac{h}{3}[/tex]
[tex]V=\pi 8^{2} \frac{12}{3} \\V=\pi (64)(4) = 256\pi[/tex]
256π = 804.247719319
To the nearest tenth: 800
Find the common ratio of the geometric sequence 6, 48, 384, ...
Answer:
r = 8
Step-by-step explanation:
The common ratio r of a geometric sequence is
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] = ..... = [tex]\frac{a_{n} }{a_{n-1} }[/tex]
Then
r = [tex]\frac{48}{6}[/tex] = [tex]\frac{384}{48}[/tex] = 8
hello please help i’ll give brainliest
Answer:
its C
Step-by-step explanation:
srry if im wrong:(
What’s the area?????
Answer:
64Step-by-step explanation:
10 x 4=40 3 x 8=2440+24=64Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12.
Part A: Which system of equations represents the given scenario? Let a represent adults and c represent children.
A.10a + 15c = 20
a + c = 225
B.10a + 15c = 225
a + c = 20
C.15a + 10c = 225
a + c = 20
D.15a + 10c = 20
a + c = 225
Part B: What is the solution to the system of equations?
A.5 adults and 15 children
B.10 adults and 10 children
C.15 adults and 5 children
D.9 adults and 9 children
Answer:
Part A) C
Part B) A
Step-by-step explanation:
For part B I solved for a (adults) which then I got 5
I will attach an image of my work for part b
sorry for the poor quality picture
The system of equations that represents the given scenario is a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let a represent the number of adult tickets and c represent the number of children's tickets.
The total number of tickets purchased is 20, so we have:
a + c = 20
The cost of an adult ticket is $15 and the cost of a children's ticket is $10. The total cost of the tickets is $225, so we have:
15a + 10c = 225
Therefore, the system of equations that represents the given scenario is:
a + c = 20
15a + 10c = 225
Now let us solve a and c values by using substitution method.
a=20-c
Now substitute in equation 15a + 10c = 225
15(20-c)+ 10c = 225
300 - 15c + 10c = 225
-5c = -75
c = 15
Substituting c = 15 into the first equation, we get:
a + 15 = 20
a = 5
Therefore, the system of equations that represents the given scenario is
a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Help me plsssssss????
Answer:
40 :)
Step-by-step explanation:
DeAndre is ordering tickets to a concert. He buys 4tickets that all have the same price. There
is a service charge of $2.50 per ticket. The total cost of his order is $86.50. What is the price of
each ticket?
Answer:
$8.65 per the price of a ticket.
PLS HELP I WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
ggfvnjuygvvbnnjhyff ggrgbj
Answer: The answer Is C
Step-by-step explanation:
PLS GIVE ME BRAINLIEST
What is the weight of a 22 kg object on the surface of the moon (g = 1.6 m/s2)?
Weight is the gravitational force by which a massive object attracts on another object .
So,
f = m × g
where,
f = force / weight m = mass ( 22 kg )g = acc due to gravity ( 1.6 m/s² )=》
[tex]f = 22 \times 1.6[/tex]
=》
[tex]35.2 \: \: newtons[/tex]
Answer:
[tex]35.2 \: is \: your \: answer[/tex]
I hope it helps
have a nice day
#Captainpower
The measures of interior angle of a convex pentagon are in ratio 1:2:3:4:5. Find the measures of each angle
Answer:
The angles have measurements 36, 72, 108, 144, and 180.
Step-by-step explanation:
Pentagon has 5 sides and 5 angles.
The amount of triangles formed by choosing one vertex and drawing from that vertex to every nonadjacent vertex is 3.
3(180)=540 which is the sum of the angles in a pentagon.
So since the ratio is 1:2:3:4:5, that means the angles are 1x,2x,3x,4x, and 5x.
We have the equation 1x+2x+3x+4x+5x=540 to solve.
15x=540
Divide 15 on both sides:
x=540/15
x=36
1x=36
2x=72
3x=108
4x=144
5x=180
The angles have measurements 36, 72, 108, 144, and 180.
Find the volume of the darkly shaded region
Answer:
80
Step-by-step explanation:
Find the missing exponent. I really need help with this question
1/169=(1/13)?
? =
How can1/5 x-2=1/3x+8 be set up as a system of equations
Answer:
x=-2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
here is the velocity time graph of a car for 40 seconds
Answer:
where is the graph??
Step-by-step explanation:
mrk me brainliest
Answer:
a) 0.75m/s^2
b)10
Step-by-step explanation:
Un árbol mide 10m de altura proyecta una sombra de 15m,¿ Cual es la altura de un faro que proyecta una sombra de 30m a la misma hora?
Suppose a circle is divided into congruent slices. Match each number of slices with the
resulting central angle measure of each slice.
2
[ Choose ]
3
[ Choose ]
4.
[ Choose ]
5
[Choose ]
6
[ Choose1
>
8
[ Choose ]
Answer:
Think of it like this each circle has 360 degrees so take 360/2 360/3 and so on and see what you get
Step-by-step explanation:
Convert 3 qt/min to gallons per hour.
45 gal/h
12 gal/h
180 gal/h
4.5 gal/h
Given:
3 qt/min
To find:
The conversion of 3 qt/min to gallons per hour.
Solution:
We know that,
1 quart = 0.25 gallons
60 minutes = 1 hour
1 minute = [tex]\dfrac{1}{60}[/tex] hour
Using these conversions, we get
[tex]3 \dfrac{qt}{min}=\dfrac{3\times 0.25}{\dfrac{1}{60}}\ \dfrac{gal}{h}[/tex]
[tex]3 \dfrac{qt}{min}=3\times 60\times 0.25\ \dfrac{gal}{h}[/tex]
[tex]3\ qt/min=45\ gal/h[/tex]
Therefore, the correct option is A.
i don't want one of those dum "click on this link" ppl to answer ngfjkdo
Please help me!!!
please don’t put any links in here, thank you:)
Which set of points represents a reflection of the triangle in the x-axis?
A (-7,2),(-2,2),(-6,7)
B (2,-7),(2,-2),(7,-6)
C (7,-2),(-2,-2),(6,-7)
D (2,7),(2,2),(7,6)
Answer:
The answer will be C.
Step-by-step explanation:
That is the answer because the corner on the right is (-2,-2) and that is the only answer that has two negative -2.
Hope that helps. If you somehow get that wrong, please message me and tell me. Thank :)!
Fill in the blanks below.
Find the slope of the line passing through the points (-2,3) and (-2, -1).
slope:
Find the slope of the line passing through the points (-6, -3) and (3, -3).
slope:
Answer:
-4/0, and 0/9
Step-by-step explanation:
slope formula
73 plus what equals 180
Answer:
Your answer would 107.
Step-by-step explanation:
180 minus 73 equals 107.
:)
Please answer these, i’ll give brainliest.
Answer:
9) 21
10) 70
11) 64
12) 31
13) 83
14) 31
Step-by-step explanation:
too easy!!
PLSSSSSS HELPPPP IT MATH I REALLY NEEED HELPPPP PLSSS 25 POINTSSS
Select all the prisms.
For each prism, shade one of its bases.
Answer:
I honestly dont know, im sorry ill try and figure it out
Step-by-step explanation:
Answer:
b, c, d
Step-by-step explanation:
the base at b is at the top; hexagon, for c, its the triangle, also at the top, for d it's the triangle on the side
PLEASE HELP! I WILL MARK BRAINLIEST!
Examine the following data set.
{15, 45, 20, 40, 55, 60, 25, 35, 45, 50, 30}
Which piece of data from the data set is an outlier, if there is one?
A) 15
B) 40
C) 60
D) There are no outliers.
The piece of data from the data set is an outlier, if there is one is that there are no outliers. The correct option is D.
What is interquartile range?The interquartile range is a measure of statistical dispersion, or the spread of data, in descriptive statistics.
To identify outliers, we first need to calculate the median and the interquartile range (IQR) of the data set.
The median is the middle value of the data set when it is arranged in order. If there is an even number of values, the median is the average of the two middle values.
First, we arrange the data set in order:
{15, 20, 25, 30, 35, 40, 45, 45, 50, 55, 60}
The median is the middle value, which is 40.
Next, we calculate the IQR, which is the difference between the third quartile (Q3) and the first quartile (Q1) of the data set.
Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half of the data set. To calculate Q1 and Q3, we first split the data set into two halves:
Lower half: {15, 20, 25, 30, 35}
Upper half: {40, 45, 45, 50, 55, 60}
Q1 is the median of the lower half, which is 25. Q3 is the median of the upper half, which is 50.
So, the IQR is:
IQR = Q3 - Q1 = 50 - 25 = 25
To identify outliers, we use the following rule: any value that is less than Q1 - 1.5 x IQR or greater than Q3 + 1.5 x IQR is considered an outlier.
Q1 - 1.5 x IQR = 25 - 1.5 x 25 = -12.5
Q3 + 1.5 x IQR = 50 + 1.5 x 25 = 87.5
We see that none of the values in the data set are less than -12.5 or greater than 87.5. Therefore, there are no outliers in this data set.
Thus, the answer is D) There are no outliers.
For more details regarding interquartile range, visit:
https://brainly.com/question/29204101
#SPJ3
5. An extension ladder is extended 32 feet to rest
against a wall. The bottom of the ladder is 6 feet
from the base of the wall, as shown.
32 ft.
Which of the following is closest to the distance
from the top of the ladder to the base of the wall?
Answer:
Option A
Step-by-step explanation:
As shown in the figure ABC,
AC = Length of the ladder
BC = Distance between the base of the ladder and the wall
AB = Distance from the top of the ladder and the base of the wall
By applying Pythagoras theorem in the given right triangle ΔABC,
AC² = AB² + BC²
(32)² = h² + (6.5)²
h² = 1024 - 42.25
h = √(981.75)
h = 31.33
h ≈ 31 feet
Therefore, Option A will be the correct option.
Please help, I do not want any links. What is the value of 7x - 2x + 3, when x = 5?
28
48
39
24
Answer:
28
Step-by-step explanation:
hope this helped
PLSS HELPP ITS DO IN A FEW MINUTES
Answer:
10%.
Step-by-step explanation:
Snow Crest is 11,508.21 feet higher than Mt. Wilson. Write and solve an equation to find the elevation of Mt. Wilson. Let x represent the elevation of Mt. Wilson. The equation to find the elevation of Mt. Wilson is ____-x=_______. The elevation of Mt. Wilson is _______ feet.
Answer:
16642.1 feets
Step-by-step explanation:
Given :
Elevation of Mt. Wilson = x
If the elevation of snow crest = y
Snow crest = 11,508.21 feet higher than Mt. Wilson
Hence, y = 11,508.21 + x
The elevation of Mt. Wilson, x = y - 11,508.21 feets
From the table, elevation of Snow crest = 28,150.31 feets = y
Hence, The elevation of Mt. Wilson, x = y - 11,508.21 feets
x = 28,150.31 - 11,508.21
x = 16642.1 feets
Please answer I will give brainliest