Answer:
[tex]21^{\circ}[/tex]
Step-by-step explanation:
The Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] and works for every triangle.
Substituting given values, we have the following equation:
[tex]\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}[/tex]
*Note that because [tex]\sin \theta=\sin(180-\theta)[/tex], when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.
What is the Kinetic Energy of a 15 kg object that is moving with a speed of 30 m/s?
Answer:
6750J
Step-by-step explanation:
30^2=900 900x15=13500 13500/2=6750
Answer:
K=6750[J]
Step-by-step explanation:
[tex]Kinetic \:Energy=\frac{1}{2} mv^2\\\\K=\frac{1}{2} (15)(30)^2\\\\K=6750[J][/tex]
Write the equation of the line in slope-intercept form.
Answer:
y = 50x + 40
Step-by-step explanation:
2 points on the graph:
(0, 40) and (2, 140)
Slope:
m=(y2-y1)/(x2-x1)
m=(140 - 40)/(2 - 0)
m=(100)/2
m= 50
Slope-intercept:
y - y1 = m(x - x1)
y - 40 = 50(x - 0)
y - 40 = 50x
y = 50x + 40
Find the length of the third side. If necessary, write in simplest radical form. 7 V15
Find the equation of the line that contains the points (-4,3) and (4,3).
Answer:
yes
Step-by-step explanation:
Someone please help me with this lol I’m struggling I hope I don’t get a bad grade
Answer:
42/100
Step-by-step explanation:
3/10=30/100
6/100+30/100+6/100= 6+30+6=42
42/100
Is 42/100 an awser if so it should be right?
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
18y – 3.x = -90
Answer:
The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of x when y = 0).
In this question:
[tex]18y - 3x = -90[/tex]
Isolating y:
[tex]18y = 3x - 90[/tex]
[tex]y = \frac{3x}{18} - \frac{90}{18}[/tex]
Simplifying the fractions:
[tex]y = \frac{x}{6} - 5[/tex]
The equation of the line in slope-intercept formula is [tex]y = \frac{x}{6} - 5[/tex]
a rectangle park has a perimeter of 80m one side measures 16m what are the lengths of the other three sides
Answer:
16m 24m and 24m
Step-by-step explanation:
Given the fact that it's a rectangle, and 1 side is 16m, we know that 1 of the other sides will be 16m. After that and some simple subtraction, we get the other 2 sides are 24m.
Hurry which one
A.24
B.60
C.80
D.114
Which statement about the graph of y = tan x is true?
A password is made up of 4 letters. If the letters can be repeated how many passwords can be created. NO LINKS!!!
Answer:
456,796 passwords
Step-by-step explanation:
Because any letter can be repeated for the 4-letter password, there are 26 possible letters for the first letter of the password, 26 possible letters for the second letter of the password, 26 possible letters for the third letter of the password, and 26 possible letters for the fourth letter of the password. Therefore, the possible number of passwords that can be created is 26*26*26*26 = 26^4 = 456,796 passwords
A sphere has a radius of 3 centimeters. What is the volume of the sphere?
367 cm
727 cm
1447 cm
2887 cm
оо
Answer:
Volume = 113.1 cubic cm
Step-by-step explanation:
[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi 3^3 = 4 \pi \times 9 = 36 \pi=113.1 cm^3[/tex]
Which ratio is equivalent to the ratio 33:39?
Answer:
[tex]33 : 39 \equiv11 : 13[/tex]
How do you solve the equation 3 1/5 +n=9?
Answer:
n = [tex]5\frac{4}{5}[/tex]
Step-by-step explanation:
You obviously have to solve for n
I need a answer ASAP
Answer:45-67-3
Step-by-step explanation:
Answer:
6 faces
Step-by-step explanation:
HELP ME WITH THIS PLEASEEEEE? IM STUGGLING
Answer:
(x-5)(x+5)
Step-by-step explanation:
x^2 -25
We can rewrite this as the difference of squares
x^2 - 5^2
(x-5)(x+5)
Hurry which one
A.70
B.84
C.112
D.138
Answer:
A = 84 ft^2
Step-by-step explanation:
A = bh where b is the base and h is the height
A = 12*7
A = 84 ft^2
Which expression has the smallest value?
A. -15
B. |24|
C. -31
D. 42
Answer:
C
Step-by-step explanation:
Calculate the surface area of the following object 8 km 14 km:
Which one you think is the correct answer?
1- 15834 km
2- 1926.0 km
3- 6597 km
4- 1935.2 km
Answer:
1.option is the correct answer right
I mainly need #2 but if you know any of them please let me know
Answer:
1) 88 cm²
2) 34.137 cm²
3) 11.57 cm²
4) 195.938 cm²
Step-by-step explanation:
1) 6x12=72
4x4=16
72+16=88
2) 1/2x2x4x5=20
1/2π3²=14.137
20+14.137=34.137
3) 5x2=10
1/2π1²=1.57
10+1.57=11.57
4) 3x14=42
π7²=153.938
42+153.938=195.938
what is the mathematical representation of joules law of heating ?
Answer:
Q = I^2 R T
Step-by-step explanation:
What is the mathematical representation of joules law of heating
What is joules law of heating ??
Joule’s law is a mathematical description of the rate at which resistance in a circuit converts electric energy into heat energy.
Mathematically
Q = I^2 R T
Where,
Q indicates the amount of heat
I show electric current
R is the amount of electric resistance in the conductor
T denotes time
A certain culture of the bacterium Rhodobacter sphaeroides initially has 45 bacteria and is observed to double every 5 hours. (a) Find an exponential model n(t)
Answer:
The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]
Step-by-step explanation:
Exponential model of population growth:
An exponential model for population growth has the following model:
[tex]n(t) = n(0)(1+r)^t[/tex]
In which n(0) is the initial value and r is the growth rate, as a decimal.
Observed to double every 5 hours.
This means that [tex]n(5) = 2n(0)[/tex]
We use this to find 1 + r. So
[tex]n(t) = n(0)(1+r)^t[/tex]
[tex]2n(0) = n(0)(1+r)^5[/tex]
[tex](1+r)^5 = 2[/tex]
[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{2}[/tex]
[tex]1 + r = 2^{\frac{1}{5}}[/tex]
[tex]1 + r = 1.1487[/tex]
So
[tex]n(t) = n(0)(1+r)^t[/tex]
[tex]n(t) = n(0)(1.1487)^t[/tex]
Initially has 45 bacteria
This means that [tex]n(0) = 45[/tex]. So
[tex]n(t) = n(0)(1.1487)^t[/tex]
[tex]n(t) = 46(1.1487)^t[/tex]
The exponential model n(t) is [tex]n(t) = 46(1.1487)^t[/tex]
HELP ME PLEASEEEE SOMEONEEE
X=
0 4
06
0 12
pls help !
Answer:
maube 12
Step-by-step explanation:
i am not sure ..but try ur luck
Given that is directly proportional to (p-1)2 and p is always positive, find the
value of p when q = 80 , if 9= 30 when p = 7
A) 4
B) 6
Ch 10.82
Answer:
p = 10.8
Step-by-step explanation:
Given that p is directly proportional to (p-1)² and p is always positive, then;
q = k (p-1)²
If q = 30 and p = 7
30 = k(7-1)²
30 = 6²k
30 = 36k
5 = 6k
k = 5/6
To get p when q = 80
q =k (p-1)²
80 = 5/6((p-1)²
480 = 5(p-1)²
480/5 = (p-1)²
(p-1)² = 96
p-1 = √96
p-1 = 9.8
p = 9.8 + 1
p = 10.8
B) 6
Ch 10.82
A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given the test. Their mean score is 76.2 and their standard deviation is 21.4. Find the Margin of Error (E) for the 95% confidence interval for the mean score of all such subjects.
Answer:
The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 27 - 1 = 26
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0518
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
In this question:
[tex]n = 27, s = 21.4[/tex]. So
[tex]M = 2.0518\frac{21.4}{\sqrt{27}}[/tex]
[tex]M = 8.45[/tex]
The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.
WILL GIVE BRAINLIST
MATH
CONVERT EACH MEASUREMENT
SHOW STEPS ALL
18 pints to gallons
Answer:
2.25 Gallons.
Step-by-step explanation:
A pint is [tex]\frac{1}{8} th[/tex] of a gallon or 0.125.
Multiply 18 pints by 0.125.
18 · 0.125 = 2.25
To Check Work:
Divide 2.25 by 0.125 to equal 18.
[tex]\frac{2.25}{0.125} = 18[/tex]
Divide 2.25 by 18 to equal 0.125.
[tex]\frac{2.25}{18} = 0.125[/tex]
is -49 a rational number? explain you’re reasoning.
-49 is a rational number.
There are only 3 types of numbers that are irrational.
1.
2. Square roots that are not perfect squares (e.g. the suqare root of 5)
3. Numbers that don't end, and are not repeated. (e.g. 4.765544323456765432345654345.....)
Hope this helps! Please mark me as brainliest!
Have a great day!
Which net will fold into a rectangular prism?
Answer: it is the 4 one
Step-by-step explanation:
I have attached the answer, I hope this helps! :D (If the attachment doesn't work, the answer is the one in the bottom right corner)
I need help finding the slope. I will report you if you use a link
3/4 up 3 over 4, its a positive slope
A statistical question produces data that varies. Which question below will produce data that varies?
A. how many days are in a leap year
B. How many quarts are in a gallon
C. How many senses are there
D. How many students are in each class