What is the measure of <C? Round your answer to the nearest tenth of a degree.
A 73.4
B 74.1
C 106.6
D 100.7
Given:
In triangle [tex]ABC, AB=9,BC=4,AC=7[/tex].
To find:
The measure of angle C.
Solution:
We have, [tex]AB=9,BC=4,AC=7[/tex]. It means [tex]c=9,a=4,b=7[/tex].
According to the law of cosines:
[tex]cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
[tex]cos C=\dfrac{4^2+7^2-9^2}{2(4)(7)}[/tex]
[tex]cos C=\dfrac{16+49-81}{56}[/tex]
[tex]cos C=\dfrac{-16}{56}[/tex]
Taking cos inverse on both sides, we get
[tex]C=cos^{-1} \dfrac{-16}{56}[/tex]
[tex]C=106.60155[/tex]
[tex]C\approx 106.6[/tex]
Therefore, the correct option is C.
Find the surface area of the square pyramid (above) using its net (below)
Answer:
please where is the above square pyramid
Step-by-step explanation:
please I wish I could help you but your question is in complete
Giving brainlist to whoever answers
Answer:
84+ z =180
Step-by-step explanation:
42 x 2=84
84+ z =180
Which of the following expressions represents the distance between −3.9 and −4.7?
NEED NOW
i hope this helps and yea i guess
Kate conducts a survey at her middle school to determine the students' favorite sport. Which sampling method would best produce a representative sample of the population?
Incomplete question. The missing options read;
a. Kate surveys every 8th student from a roster of the choir members.
b. Kate surveys the football team.
c. Kate surveys seventh-grade students.
d. Kate surveys every 4th student entering the school.
Answer:
d. Kate surveys every 4th student entering the school.
Step-by-step explanation:
Interestingly, after careful examination of all the listed sampling methods, none except option d would best produce a representative sample of the population.
This is because;
in the first, second, and third option, none of them evenly represents the entire school population; meaning it fails to produce a representative sample of the population.
However, if Kate surveys every 4th student entering the school, then chances of getting a representative sample of the entire school population are very likely; as different grade level students would likely be entering into the school when the survey activity is taking place.
What is the lateral area of the can below that has a diameter of 8 and a height that is three times the radius? Round to the nearest tenth. [Hint: Find the radius first]
Answer:
402.1
hope it helps
please mark Brainliest
how do i estimate 260000?
Answer:
260000
Estimate = 300000
The distance between A (-4, 2) and B(4, 2) is.
Step-by-step explanation:
the answer is 8 units
I remember I had this
Help I need help I’m struggling
Answer:
the slope is 3/2
Step-by-step explanation:
Answer:
1.5
Explanation:
the slope of the line can be calculated by rise ÷ run, or the vertical increase divided by the horizontal increase. we can see that from the point (1,-3) to the point (3,0), the line increases vertically by 3 and horizontally by 2.
since the line is moving upwards, it is positive.
thus, the slope of the line is 3 ÷ 2 = 1.5.
find to the nearest degree the size of each angle of a regular heptagon
plsss i need answers nowwww
Answer:
That's the question
Step-by-step explanation:
The answer to this would be highly appreciated
Answer:
SA = 254 cm²Steps:
SA = 2(L×W) + 2(H×L) + 2(H×W)
given:
L = 9 cm
W = 4 cm
H = 7 cm
SA = 2(9×4) + 2(7×9) + 2(7×4)
SA = 2×36 + 2×63 + 2×28
SA = 72 + 126 + 56
SA = 254 cm²
A bag contains 6 green marbles, 5 blue, and 9 red. What is the probability that you will select two green marbles from the bag?
Answer:
2/20
Step-by-step explanation:
if you add all of the marbles you will get 20 marbles in total.
The sum of 3 consecutive odd number is 53 What is the second number in the sequence
Answer:
Step-by-step explanation:
Let
x = first odd number
x + 2 = second odd number
x + 4 = third odd number
Total = 53
53 = x + (x + 2) + (x + 4)
53 = x + x + 2 + x + 4
53 = 3x + 6
53 - 6 = 3x
47 = 3x
x = 47/3
x = 15.7
x + 2 = second odd number
15.7 + 2 = 17.7
Second number = 17.7
if dillon read 5 articles, how many social media posts did he read
Answer:
Not enough information to answer this question.
You drive 150 miles in 3 hours. At this rate how far would you travel in 7 hours
Answer:
350 miles in 7 hours
Step-by-step explanation:
If you drive 150 miles in 3 hours, you need to find the "base" meaning how many miles you can go to by 1 hour. To do that you divide 150 with 3 Which equals to 50. So in 1 hour you can travel up to 50 miles. But we need to find how many miles you can go by 7 hours. For that you multiply 50 with 7.
Therefore the answer is 350 miles.
What is Common denominator of 1/6 and 3/4? 30, 48, 20, or 64?
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
y=2/3x+2. I need help
Answer:
Using the slope-intercept form, the slope is 23, but you will have to combine 2/3 and x. y= 2x/3+2
Step-by-step explanation:
if this helped subscribe to amiredagoat Yt
if y varies directly with x and y=60 when x =15 find k and write an equation of direct variation
Answer:
k=45
equation: y=x+45
Step-by-step explanation:
60=15+k
substract 15 on both sides to get 45=k
HELP PLEASE DUE SOON!!!
Answer:
37+23
Step-by-step explanation:
I searched it up. someone else asked the exact same question. I hope it's correct though.
Answer:
The larger number is 37 and the smaller number is 14.
Step-by-step explanation:
Let's solve this problem in terms of x and y:
x+y=60
x-y=14
x will be the larger number while y will be the smaller number.
When we add both those equations together, we get 2x=74 since y-y=0. Now we do 74÷2 which equals 37 so x=37. Finally we know that x=37 so our y must be the remaining part since x+y=60. We simply subtract 37 from 60 and get our smaller number, 23.
I hope this helps :)
For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is
$103.72
What are the possible numbers of minutes she has used her phone in a month?
Usem for the number of minutes, and solve your inequality for m.
DO
Answer:
1312.5 minutes
Step-by-step explanation:
For her phone service, Lucy pays a monthly fee of $25, and she pays an additional $0.06 per minute of use. The least she has been charged in a month Is $103.72
What are the possible numbers of minutes she has used her phone in a month?
Use m for the number of minutes, and solve your inequality for m.
The term least = ≥ = greater than or equal to
Our inequality equation is given as:
$25 + $0.06 × m ≥ $103.72
25 + 0.06m ≥ 103.72
0.06m ≥ 103.72 - 25
0.06m≥ 78.75
m ≥ 78.75/0.06
m ≥ 1312.5 minutes
The possible number of minutes she used is 1312.5 minutes
The diagram shows a field ABC.
AC = 240 m
Use the sine rule to calculate AB.
Answer:
AB ≈ 312.1 m
Step-by-step explanation:
Using the Sine rule in the triangle, then
[tex]\frac{AB}{sin85}[/tex] = [tex]\frac{240}{sin50}[/tex] ( cross- multiply )
AB × sin50° = 240 × sin85° ( divide both sides by sin50° )
AB = [tex]\frac{240sin85}{sin50}[/tex] ≈ 312.1 m ( to 1 dec. place )
How would you solve this?
Answer:
f(x) = (1/5)^x
Step-by-step explanation:
We have
x = 1, f(x) = 1/5
x = 0, f(x) = (1/5)^0 = 1
x = 2, f(x) = (1/5)^2 = 1/25
That means we have
f(x) = (1/5)^x
Answer:
f(x)=[tex]5^{-x}[/tex]
Step-by-step explanation:
Not sure if this is what you're looking for but i hope this helps
7.
If cos θ= 0.866, find θ, writing your answer to the nearest degree.
See attachment for reply and answer.
help please by tonight !! Thank you (answer only)
Answer:
5.) 48
6.) 60
It's the other half of the triangle.
find the value of X
Answer:
x = [tex]\frac{91}{6}[/tex]
Step-by-step explanation:
Given 2 intersecting chords in a circle, then
The product of the parts of 1 chord is equal to the product of the parts of the other chord, that is
6x = 7 × 13 = 91 ( divide both sides by 6 )
x = [tex]\frac{91}{6}[/tex]
A landing pad for a helicopter is in the shape of a circle with a radius of
7 meters. Which of the following is
closest to the area of the landing pad?
A. 44 square meters
B. 154 square meters
C. 205 square meters
D. 308 square meters
PLEASE NO LINKS!
Answer:
154 m^2
Step-by-step explanation:
Area of a circle: A = (pi)(radius)^2
Here, r = 7 m, so A = (3.14)(7 m)^2 = 154 m^2
Write the trigonometric expression in terms of sine and cosine, and then simplify. cot()/sin()-csc()
Answer:
First, we know that:
cot(x) = cos(x)/sin(x)
csc(x) = 1/sin(x)
I can't know for sure what is the exact equation, so I will assume two cases.
The first case is if the equation is:
[tex]\frac{cot(x)}{sin(x)} - csc(x)[/tex]
if we replace cot(x) and csc(x) we get:
[tex]\frac{cot(x)}{sin(x)} - csc(x) = \frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)}[/tex]
Now let's we can rewrite this as:
[tex]\frac{cos(x)}{sin(x)} \frac{1}{sin(x)} - \frac{1}{sin(x)} =\frac{cos(x)}{sin^2(x)} - \frac{1}{sin(x)}[/tex]
[tex]\frac{cos(x)}{sin^2(x)} - \frac{sin(x)}{sin^2(x)} = \frac{cos(x) - sin(x)}{sin^2(x)}[/tex]
We can't simplify it more.
Second case:
If the initial equation was
[tex]\frac{cot(x)}{sin(x) - csc(x)}[/tex]
Then if we replace cot(x) and csc(x)
[tex]\frac{cos(x)}{sin(x)}*\frac{1}{sin(x) - 1/sin(x)} = \frac{cos(x)}{sin(x)}*\frac{1}{sin^2(x)/sin(x) - 1/sin(x)}[/tex]
This is equal to:
[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1}[/tex]
And we know that:
sin^2(x) + cos^2(x) = 1
Then:
sin^2(x) - 1 = -cos^2(x)
So we can replace that in our equation:
[tex]\frac{cos(x)}{sin(x)}*\frac{sin(x)}{sin^2(x) - 1} = \frac{cos(x)}{sin(x)}*\frac{sin(x)}{-cos^2(x)} = -\frac{cos(x)}{cos^2(x)}*\frac{sin(x)}{sin(x)} = - \frac{1}{cos(x)}[/tex]
"la temperatura mas baja conocida en la tierra es de 273° bajo cero mientras que la temperatura promedio de la superficie de la tierra es de 37 calcula la variacion de la temperatura"
Answer:
Variación de temperatura: 310°C
Step-by-step explanation:
La variación de temperatura entre la temperatura más baja conocida en la tierra (-273°C = 273° bajo cero) y la temperatura promedio de la tierra (37°C) será el valor absoluto de la diferencia de estos dos valores, es decir:
Variación de temperatura: |-273°C - 37°C|
Variación de temperatura: |-310°C|
Como el valor absoluto de un número negativo es su valor positivo (|-x| = x)
Variación de temperatura: 310°CMolly is using a map with a scale of 12 = 40 molly needs to travel from point x to point y how far does she need to travel
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Ratio=12:40[/tex]
Required
Determine the actual distance between x and y
The question is incomplete, as the scale distance between x and y is not given.
To solve this, we make assumptions.
A scale measurement is represented as:
[tex]Ratio = Scale : Actual[/tex]
So, we have:
[tex]Scale : Actual = 12 : 40[/tex]
Express as fraction
[tex]\frac{Actual}{Scale} = \frac{40}{12}[/tex]
Make Actual, the subject
[tex]Actual = \frac{40}{12} * Scale[/tex]
Now, assume that the distance between x and y is 60 (on the scale), the actual distance traveled will be:
[tex]Actual = \frac{40}{12} * 60[/tex]
[tex]Actual = 200[/tex]
Consider the function: h(x) = 11 - 3x What is h(-2) ?
Answer:
17
Step-by-step explanation:
11-3x
11-3(-2)
11+6
Hence, 17
Hope it helps!
The evaluation is 17 when h(-2) of h(x) = 11-3x.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co domain, and domain for every function.
The given function is
h(x) = 11-3x
when x = -2
h(-2) = 11-3(-2)
= 11 + 6
= 17.
Therefore, the h(x) = 11-3x is 17 when x = -2
To learn more about the function;
brainly.com/question/28303908
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