Problem 5
Apply the Law of Sines
s/sin(S) = r/sin(R)
s/sin(78) = 10/sin(48)
s = sin(78)*10/sin(48)
s = 13.162274
Answer: 13.162274 approximately=============================================================
Problem 6
Use the Law of Sines here as well.
x/sin(X) = y/sin(Y)
x/sin(53) = 6/sin(22)
x = sin(53)*6/sin(22)
x = 12.791588
Answer: 12.791588 approximatelyAnswer:
Sine Rule
[tex]\sf \dfrac{a}{sinA}=\dfrac{b}{sinB}=\dfrac{c}{sinB}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Question 5
[tex]\sf \implies \dfrac{s}{sin(78)}=\dfrac{10}{sin(48)}[/tex]
[tex]\sf \implies s=\dfrac{10sin(78)}{sin(48)}[/tex]
[tex]\sf \implies s=13.16227426[/tex]
s = 13.2 (nearest tenth)
Question 6
[tex]\sf \implies \dfrac{x}{sin(53)}=\dfrac{6}{sin(22)}[/tex]
[tex]\sf \implies x=\dfrac{6sin(53)}{sin(22)}[/tex]
[tex]\sf \implies x=12.79158761[/tex]
x = 12.8 (nearest tenth)
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
AB = 13 meters
Step-by-step explanation:
AB is congruent to AC and AC is 13 meters so that's what AB would be
Please help me with this thanks! God bless you
Given the data 12,39,21,18,24,17,12,25
Answer:
12,39,21,18,24,17,12,25
Step-by-step explanation:
using wqdevdsqxcsqsd
Somebody pls help me with this
Answer:
55 minutes
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIST
Answer:
85 minutes
Step-by-step explanation:
if need working than please do ask
there would you place -6?
Answer:
Integer
Step-by-step explanation:
Essentially Rational numbers are numbers that have decimals or fractions tied to them, negative or positive. EX: 3.66, 2 1/4.
Whole numbers are WHOLE numbers that are positive. They are to the right of zero always. EX: 1, 9, 100,258. There is no decimal or fraction tied to them. This also includes 0.
Integers are essentially a whole number that isn't a fraction. They contain all negative numbers too. EX: -1025, 56, -6.
Here is a better representation of that if you're a visual learner. Hope this helps!
Select the correct answer.
This is a regular pentagon. The apothem is shown. What is perimeter of the pentagon?
5 cm
OA
18.2 cm
B.
30.7 cm
C.
36.3 cm
D.
43.8 cm
The perimeter of the pentagon with apothem of 5cm is 28.87cm
How to calculate the perimeter of a pentagonThe sum of all the external sides of the pentagon is its perimeter.
First we need to calculate the half of one of its sides using the SOH CAH TOA
tan 30 = x/5
x = 5 tan 30
x = 2.89
One of the sides = 2(2.89) = 5.77 cm
Perimeter of th pentagon = 5(5.77) = 28.87
Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm
Learn more on perimeter of pentagon here: https://brainly.com/question/11484726
Use logarithmic differentiation to find dy/dx. y = (1 + x)^1/x, x > 0
Use exp/log functions to rewrite y as
[tex]y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)[/tex]
One of the properties of logarithms lets us bring down the exponent, so
[tex]y = \exp\left(\dfrac{\ln(1+x)}x\right)[/tex]
Now take the derivative of both sides with respect to x. By the chain and quotient rules,
[tex]\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}[/tex]
Simplify:
[tex]\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}[/tex]
A pair of equations is shown below:
y = 7x − 9
y = 3x − 1
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point. That is how you graphically "solve" the system of equations.
Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.
So for y=7x-9, the slope is 7 and the y-intercept is -9
For y=3x-1, the slope is 3 and the y-intercept is -1
....
The solution for this system occurs when both coordinates are equal to each other so we can say:
7x-9=3x-1 subtract 3x from both sides
4x-9=-1 add 9 to both sides
4x=8 divide both sides by 4
x=2, making y=3x-1 become:
y=3(2)-1=6-1=5, so the solution to the system of equations is:
(2,5)
Answer:
Part A: If you graph the pair of equations shown above both lines will intersect at one point and that is how you would solve the system of equations graphically. The y intercept and slope for each equation would be for y = 7x − 9 it would have a slope of 7 and y intercept of -9 and y = 3x − 1 would have a slope of 3 and y intercept of -1.
Part B:The solution to the pair of equations is (2,5)
i need help with this
Anyone can help me with this? Kinda confusing. Thank you!
Answer:
14
Step-by-step explanation:
you can do 9 x 14 and get 126
Find the volume . Round to the nearest tenth
volume: 1740 ft³
[tex]\sf volume\ of \ the \ prism = volume \ of \ rectangle \ + \ volume \ of \ triangular\ prism[/tex]
[tex]\sf volume\ of \ the \ prism =length * width * height+ \ \dfrac{1}{2} * base * height * length[/tex]
[tex]\sf volume\ of \ the \ prism =15* 10* 8+ \ \dfrac{1}{2} * 9* 12* 10[/tex]
[tex]\sf volume\ of \ the \ prism =1200+ 540[/tex]
[tex]\sf volume\ of \ the \ prism =1740[/tex]
Answer:
1740 ft³
Step-by-step explanation:
Volume
= Volume of right triangular prism (upper) + Volume of cuboid (below)
= 1/2L₁B₁H₁ + L₂B₂H₂
= 1/2 x 12 x 10 x 9 + 15 x 10 x 8
= 5 x 108 + 120 x 10
= 540 + 1200
= 1740 ft³
3/4 x (z^3 x 4) answer
Answer:
[tex]3z {}^{3} \times 12[/tex]
[tex]36z {}^{3} [/tex]
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each model with the square root equation it represents.
solve this arithmetic Progression
So, here in part a), we are given n terms (no specific no. of terms given), so no. of terms = n , also, the common difference is defined as the difference between the next term to a specific term and the term, i.e [tex]{\bf{d=a_{n}-a_{n-1}}}[/tex], where d is the common difference, so here d = 49 - 45 = 4
Also, here the last term is 49 let say it the nth term, as no number of terms are given, so using the Arithmetic Progression formula, we can write as ;
[tex]{:\implies \quad \sf a+(n-1)d=49}[/tex]
[tex]{:\implies \quad \sf a+(n-1)4=49}[/tex]
[tex]{:\implies \quad \sf a+4n-4=49}[/tex]
[tex]{:\implies \quad \sf a=49+4-4n=\boxed{\bf{53-4n}}}[/tex]
Now, as we assumed there are n terms, so using the sum formula, we can have ;
[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(a+a_{n})}[/tex]
[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(53-4n+49)}[/tex]
[tex]{:\implies \quad \sf S_{n}=\dfrac{n}{2}(102-4n)}[/tex]
[tex]{:\implies \quad \sf S_{n}=n(56-2n)=\boxed{\bf{-2n^{2}+56n}}}[/tex]
Now, for part b) we are given a geometric progression with first term = a = 1, common ratio = r = (3/1) = 3, and no. of terms = n = 6, so now putting all values in the sum formula we will have;
[tex]{:\implies \quad \sf S_{6}=\dfrac{1\{1-(3)^{6}\}}{1-3}}[/tex]
[tex]{:\implies \quad \sf S_{6}=\dfrac{1-729}{-2}}[/tex]
[tex]{:\implies \quad \sf S_{6}=\dfrac{-728}{-2}=\boxed{\bf{364}}}[/tex]
Based on the diagram, which expresses all possible lengths of segment AB?
AB = 25
27 < AB < 81
AB = 85
AB < 27 or AB > 81
Answer:
B. 27<AB<81 seems like the best option. AB got to be bigger than 27.
Step-by-step explanation:
Based on the diagram, possible lengths of side AB are 27 < AB < 81.
What is Triangle?Triangle is a polygon in two dimensional geometry. It consists of three sides, three angles and three vertices.
The sum of all the angles inside the triangle is equal to 180 degrees.
We have the Triangle Inequality theorem which states that the third side of a triangle is always less than the sum of the lengths of the other two sides.
So the length of side AB is always less than AC + BC.
AB < AC + BC
AB < 27 + 54
AB < 81
Now from the diagram it is clear that AC is less than AB.
AC < AB
27 < AB
Combining these inequalities, we get 27 < AB < 81.
Hence all the possible lengths of side AB is 27 < AB < 81.
To learn more about Triangles, click on the link :
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A distribution has a mean of 70.If 5 points are added to each individual score, the new mean would be
Answer:
well its free
Step-by-step explanation:
asdasdasdasd
What is the slope of the line that contains these points?
x
39 40 41
42
y
36
29 22 15
Answer:
-7
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
__
Using the first two points from your list, we find the slope to be ...
m = (29 -36)/(40-39) = -7/1 = -7
The slope of the line is -7.
A pool measuring 10 meters by 26 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the path combined is 1380 square meters, what is the width of the path?
Answer:
112m
Step-by-step explanation:
A = lw
A = 10(26)
A = 260
1380 - 260 = 1120
1120 = 10(w)
1120 / 10 = 112
Calculate the rise and run to and the slope of each line. someone help me
Rise: -4
Run: 3
Solution:The rise is how many units we move up or down.The run is how many units we move left or right.We move down 4 units, so the rise is -4.Then, we "run" 3 units, so the run is 3.Hope it helps.
Do comment if you have any query.
Please help I’m terrible at math!
Answer:
5) A - slope is positive, b = 0
6) D - slope is negative, b = 1, function is linear
7) D - b = 0
8) C - slope is negative, b = negative
Step-by-step explanation:
Hope this helps!
y=3(x-2)(x-5) standard form?
Answer:
y = 3x² - 21x + 30Step-by-step explanation:
Given is the factored form of a quadratic function.
The standard form is:
y = ax² + bx + cOpen parenthesis to convert it into standard form:
y = 3(x - 2)(x - 5) = 3(x² - 7x + 10) = 3x² - 21x + 30Answer:
3x² - 21x + 30Step-by-step explanation:
Keep in mind that the equation in standard form is y = ax² + bx + c
[Where "a, b, and c" are the constants.]
Simplify the distibutive property:
⇒ y = 3(x - 2)(x - 5)
⇒ y = (3x - 6)(x - 5)
Simplifying the R.H.S using the rule (a + b)(c - d) = ac - ad + bc - bd:
⇒ y = (3x - 6)(x - 5)
⇒ y = (3x² - 15x - 6x + 30)
⇒ y = (3x² - 21x + 30)
⇒ y = 3x² - 21x + 30
If possible, reorganize the equation in standard form:
⇒ y = 3x² - 21x + 30 (In standard form)
What area is the shape?
Answer:
20 Units
Step-by-step explanation:
The question wants us to find the area of the shape.
From looking at the shape, we can easily infer that it is made of 1 square and 1 triangle.
Area of a Square/Rectangle Formula: A = W(L)
Area of a Trangle Formula: A = (1/2)(b)h
A = W(L)+(1/2)(b)h
The base of the traingle can be found by subtracting the longer length (6) from the smaller length (4).
A = 4(4)+(1/2)(2)4
A = 16+(1)4
A = 16+4
A = 20 Units
Alge
If the number of bacteria in a colony doubles every 203 minutes and there is currently a
population of 40 bacteria, what will the population be 812 minutes from now?
bacteria
Submit
Answer:
640 Bacteria
Step-by-step explanation:
First, find out how many times the population will double. Divide the number of minutes by how long it takes for the population to double.
812÷203=4
The population will double 4 times.
Now figure out what the population will be after it doubles 4 times. Multiply the population by 2 a total of 4 times.
402222=640
That calculation could also be written with exponents:
4024=640
After 812 minutes, the population will be 640 bacteria.
A company paid $211.00 for an item. The original price was $299.20, but this was marked down 40%. If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.
1. What is the operating loss?
2. What is the absolute loss?
Answer:
If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.
1. An operating loss occurs when a company's operating expenses exceed gross profits (or revenues in the case of a service-oriented company.
2. Mean absolute error (MAE) is a loss function used for regression. The loss is the mean overseen data of the absolute differences between true and predicted values, or writing it a formula.
Step-by-step explanation:
help ASAP
15 POINTS
need help anyone who helps get brainly user!!!!
I'm pretty sure it's either D or B, I'm literally so sorry if it's wrong
Which angles are congruent to each other?
314 11
12
109
15
5
13
210 and 212
216 and 26
215 and 27
29 and 214
Submit
X Practice in the app
Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.
The mean of the data is .
I think this is the answer .
Answer:
4.4
Step-by-step explanation:
Please help!!!
(07.02)
What is the value of y in the equation 3y - 8 = 22?
07.3
8
O 10
O 14
Answer:
The answer is 10 dude.
Step-by-step explanation:
You add 8 on both sides to get 3y by itself then divide 3 on both sides and that's it. If you really need to isolate a variable go on a website called microsoft math solver.
Jaydon has eaten 3.6% his 45 ounce block of chocolate
fudge. How many ounces of fudge has he eaten?
Answer:
The answer is 1.62 ounce
Step-by-step explanation:
Given;Jaydon has eaten 3.6% of his 45 ounce block of chocolate fudge.To Find;How many ounces of fudge has he eaten?Now,
3.6% of his 45 ounce
45 × 3.6 ÷ 100
162 ÷ 100 = 1.62
Thus, Jaydon has eaten 1.62 ounce block of chocolate fudge.