Step-by-step explanation:
15 = 6 + 2(n-3) + 3n
or, 15 = 6 + 2n - 6 + 3n
or, 15 = 6 - 6 + 2n + 3n
or, 15 = 0 + 5n
or, 15 = 5n
or, 15/5 = n
or, 3 = n
;- n = 3.....
I Hope that this will Help you...!!!
Find the measure of the indicated angle to the nearest degree.
33
32
Answer:
A= 75°
Step-by-step explanation:
SinA = opposite÷hypoteneous
A = Sin^-1(32÷33). (inverse sin = sin^-1)
A = 75.85
A= 75°
Note: To calculate we use scientific calculater.
Angle A in triangle ABC is approximately 76 degrees. So, correct option is A.
In a right triangle, the side opposite the right angle is called the hypotenuse, and the other two sides are called the legs. Let's consider triangle ABC, where angle B is the right angle, AC is the hypotenuse, and BC is one of the legs.
We are given that AC = 33 and BC = 32. To find angle A, we can use trigonometric ratios. In this case, we can use the sine function.
The sine of angle A is defined as the ratio of the length of the side opposite angle A (BC) to the length of the hypotenuse (AC):
sin(A) = BC / AC
Substituting the given values, we have:
sin(A) = 32 / 33
Using the inverse sine function (sin⁻¹), we can find the value of angle A:
A = sin⁻¹(32 / 33)
Using a calculator, we find that angle A is approximately 75.85 degrees. Rounding off to the nearest angle we get 76 degrees.
Therefore, angle A in triangle ABC is approximately 76 degrees. So, correct option is A.
To learn more about angle click on,
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Help
Find the volume of this cone.
Use 3 for T.
6ft
V =
3
Tr2h
1
10ft
V
V-
[?]ft3
A
Answer:
[tex]V=90[/tex]
Step-by-step explanation:
Step 1: Find the volume of the cone
[tex]V = \frac{\pi *r^{2}*h}{3}[/tex]
Plug in the values
[tex]V = \frac{\pi *3^{2}*10}{3}[/tex]
Simplify and Solve
[tex]V = \frac{\pi *9*10}{3}[/tex]
[tex]V = \frac{90\pi }{3}[/tex]
[tex]V = \frac{90*3 }{3}[/tex]
[tex]V=90[/tex]
Answer: [tex]V=90[/tex]
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
2 QUESTIONS!
Answer:
D and B
Step-by-step explanation:
2) (59.6)/180 * pi=1.04
Shinto is serving pizza. He serves 1/5 of the pizza to one friend and 5/12 to another friend. If he had 9/10 of a pizza to start with, how much does he have leftover.
Answer: 17/60
Step-by-step explanation:
Change all of the fractions to have a common denominator:
LCM of 10, 12, 15 is 60
You get 12/60, 25/60, and 54/60.
54/60 is what he had at the start, and so you can just subtract what he gave away
54/60-12/60=42/60
42/60-25/60=17/60
17 is a prime number so you cannot simplify the fraction
Answer:
17/60
Step-by-step explanation:
First we find the LCM of 10, 12, and 5, which is 60.
He started with 54/60.
He gave away 12/60, leaving 42/60.
He gave away another 25/60, leaving 17/60.
He had 17/60 of a pizza left over.
I need help I don't understand this.
Answer:
gmvlɛpuyhgn
gteeyolpp
jwjvy
A company wants to determine the level of interest among its employees for an annual summer picnic. The company wants to survey
200 employees.
What is the best way to randomly choose these 200 employees?
Answer: Use employee identification numbers to randomly select 200 employees
Step-by-step explanation:
Random sampling refers to a sampling technique whereby each sample has an equal chance of being selected. It is an unbiased representation of the entire population and this is vital in drawing conclusion.
From the options given, the best way to randomly choose these 200 employees will be to use employee identification numbers to randomly select 200 employees.
james cuts his neighbor's lawn the first is 1000 m long and 100 m wide what is the area
Answer:
100,000 m²
Step-by-step explanation:
the area = l x w = 1000 x 100 = 100,000 m²
câu 1: cho hình chóp S.ABC có đáy là tam giác đều cạnh bằng a, cạnh bên SB vuông góc với mặt phẳng (ABC) , SB =2a. Tính thể tích khối chóp S.ABC
Câu 2: Cho hình chóp S.ABC với SA, SB,SC đôi một vuông góc và SA=SB=SC +a . TÍnh thể tích của khối chóp S.ABC.
Answer:
[tex]\frac{\sqrt{3}}{6} a^{3}[/tex] và [tex]\frac{a^{3} }{6}[/tex]
Step-by-step explanation:
Câu 1: V = 1/3.2a.[tex]\frac{\sqrt{3}}{4}[/tex][tex]a^{2}[/tex] = [tex]\frac{\sqrt{3}}{6} a^{3}[/tex]
câu 2: Theo đề bài ta có SA là chiều cao và tam giác đáy SBC vuông tại S (hình chóp S.ABC đổi thành chóp A.SBC)
=> V = 1/3 SA.(diện tích tam giác SBC) = 1/3a.[tex]\frac{a^{2} }{2}[/tex] = [tex]\frac{a^{3} }{6}[/tex]
Helpless! I need help.
Answer:
0
Step-by-step explanation:
r=5
So
=5⁴-5(5)³-4(5)²+5(5)+75
=5⁴-5(125)-4(25)+5(5)+75
=625-625-100+25+75
=0
Question 11 in the picture. Please help me
Answer:
hhhahah
Step-by-step explanation:
eeee
Express 3 objects as a percentage of 1 dozen
show working.
Answer:
25%
Step-by-step explanation:
1 dozen = 12
3 out of 12
3/12
Simplify
1/4
Multiply top and bottom by 25 to get a denominator of 100
25/100
25%
who a beast at math??
Resultados de esta operación porfavor
/4 + 1/3
Answer:
Step-by-step explanation:
english only please
Write two different mixed numbers where the LCD (lowest common denominator) is 15.
Answer:
1. 2 7/15
2. 4 2/15
Step-by-step explanation:
I just made up mixed numbers that have a denominator of 15. I hope this helps you!
If YWZ=17, what is WXY?
34
56
17
73
Answer:
73
Step-by-step explanation:
17×2=34
180-34=146
146/2=73
=73
Find the length of BW
Answer:
[tex]BW \approx 132.589[/tex]
Step-by-step explanation:
The given triangle (BWS) is a right triangle. This is indicated by the box around one of its angles, signifying that it is a right angle. One property of a right triangle is the right angle trigonometric ratios. These are a set of ratios that can be used to describe the relationship between the sides and angles in a triangle. These ratios are as follows:
[tex]sin(\theta) = \frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Please note that the (opposite) and (adjacent) sides are subjective, the sides that are named these terms depend on the angle of reference. However the term (hypotenuse) refers to the sides opposite the right angle of a right triangle, this term is the same no matter the angle used in the ratio.
In this case, one is given the length of the side (SB) and the measure of angle (<W), one is asked to find the length of the side (BW). The best ratio to use in this case is the ratio tangent (tan).
[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]
Substitute,
[tex]tan(9)=\frac{21}{adjacent}[/tex]
Inverse operations,
[tex]tan(9)=\frac{21}{adjacent}[/tex]
[tex]adjacent=\frac{21}{(tan(9))}[/tex]
[tex]adjacent\approx132.688782[/tex]
[tex]BW \approx 132.589[/tex]
Function g can be thought of as a scaled version of f(x)=|x|
Answer:
g(x) = 1/2 |x|
Step-by-step explanation:
Scaling f(x) means it's of the form g(x) = a|x|
From the graph, it appears to pass through the point (2, 1). By subbing in the values for this point, the equation can be found to be:
1 = a|2|
a = 1/2
Therefore, g(x) = 1/2 |x|
Drag the tiles to the correct boxes to complete the pairs.
Match the graphs with the functions they represent.
Answer:
Step-by-step explanation:
Equation of a parabola with vertex (h, k) is given by,
y - k = a(x - h)²
Equation of a function 'f' with vertex (0, 3) will be,
y - 3 = a(x - 0)²
y - 3 = ax²
Since, graph of this function passes through (1, 4),
4 - 3 = a(1)²
a = 1
Therefore, equation will be,
y - 3 = (x - 0)²
f(x) = x² + 3
Equation of function 'g' with vertex at (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax² - 3
Since, the graph passes through (1, -1),
-1 = a(1)² - 3
a = 2
Therefore, equation will be,
y = 2x²- 3
g(x) = 2x² - 3
Equation of the function 'j' with the vertex (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax²- 3
Since, the graph of the function passes through (1, -5),
-5 = a(1)² - 3
a = -2
Therefore, function 'j' will be,
j(x) = -2x² - 3
Equation of the function 'h' with the vertex (0, -3) will be,
y - (-3) = a(x - 0)²
y + 3 = ax²
y = ax² - 3
Since, the graph of the function passes through (2, 1)
1 + 3 = a(2)²
4 = 4a
a = 1
Therefore, equation of the function 'h' will be,
h(x) = x² - 3
If < A and < B are vertical angles, and < A = 2x - 11 degrees, and < B = x + 7 degrees, find x.
Answer:
x=18
Step-by-step explanation:
Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.
1) [tex]2x-11=x+7[/tex]
2) [tex]x-11=7[/tex]
3)[tex]x=18[/tex]
will mark brainliest! PLEASE!
Answer:
a) There are two possibilities for rigid transformation:
(i) 180° counterclockwise rotation around point B.
(ii) 180° clockwise rotation around point B.
b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.
c) The corresponding angles and sides are presented below:
[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]
[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]
Step-by-step explanation:
a) There are two possibilities for rigid transformation:
(i) 180° counterclockwise rotation around point B.
(ii) 180° clockwise rotation around point B.
b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.
c) The corresponding angles and sides are presented below:
[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]
[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]
Paul invests ₦4800 for 5 years at 3% per annum simple interest. Calculate the amount Paul has after 5 years.
Answer:
bạn cực ngu
Step-by-step explanation:
bạn cực kì ngu
Find the value of x. Round to the nearest tenth.
Answer:
x=5.9
Step-by-step explanation:
tan(26)=x/12. x=12*tan(26)=5.9
What is the length of ST?
Answer:
14.49 inches......I think this help you.....I am not dam sure this is right or not....
Select the correct answer from each drop-down menu.
A company makes cylindrical vases. The capacity, in cubic centimeters, of a cylindrical vase the company produces is given by the
function C() = 6.2873 + 28.26x2, where x is the radius, in centimeters. The area of the circular base of a vase, in square
centimeters, is given by the function A () = 3.14.2
To find the height of the vase, divide
represents the height of the vase.
the expressions modeling functions C(x) and A(z). The expression
Answer:
divide, 2x+9
Step-by-step explanation:
got it right
Use
inductive reasoning
to
describe the pattern. Then find the next two numbers in the pattern.
-3, 9, -27, 81, ...
Answer:
I don't know what inductive reasoning is but, the next two numbers in the pattern are -243 and +729
Step-by-step explanation:
each number is being multiplied by a factor of (-3).
Joey has $400 in a bank account that earns 8% in annual interest. Would this equation be Linear or Exponential?
Exponential
The first year, he would earn 8% interest on the $400 deposited, so he'd have $432. The next year, he would earn 8% interest on the interest earned the previous year in addition to the amount deposited, so he'd have $466.56.
His bank balance would follow the compound interest equation which is exponential.
= 400 × 1.08^t
where t is the number of years since the deposit
pls answer quickly before 3:30
please prove it
(full steps required)
(No spam answers)
Answer:
Step-by-step explanation:
It's given in the question,
[tex]2^x=3^y=12^z[/tex]
[tex]2^x=12^z[/tex]
[tex]\text{log}2^x}=\text{log}12^z}[/tex]
[tex]x\text{log2}=z\text{log12}[/tex]
[tex]x=\frac{z\text{log}12}{\text{log2}}[/tex]
[tex]3^y=12^z[/tex]
[tex]\text{log}3^y}=\text{log}12^z}[/tex]
[tex]y\text{log}3}=z\text{log}12}[/tex]
[tex]y=\frac{z\text{log12}}{\text{log}3}[/tex]
Now substitute the values in the equation,
[tex]\frac{1}{y}+\frac{2}{y} =\frac{1}{\frac{z\text{log12}}{\text{log}3}}+\frac{2}{\frac{z\text{log}12}{\text{log2}}}[/tex]
[tex]=\frac{\text{log}3}{z\text{log}12}+\frac{2\text{log}2}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}3+\text{log}2^2}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}(3\times 2^2)}{z\text{log}12}[/tex]
[tex]=\frac{\text{log}(12)}{z\text{log}12}[/tex]
[tex]=\frac{1}{z}[/tex]
Hence proved.
CAN SOMEONE PLEASE HELP ME OUT
Answer:
Similarly: yes
Similarly Statement: LMNO ≈ ZWXY
Scale factor: 2/7
Answered by GAUTHMATH
The price of a litre of milk increased from $1.25 in 2004 to $1.35 in 2006. What is the average price increase per year?
Answer:
$0.05/year
Step-by-step explanation:
Number of years:
2006 - 2004 = 2
From 2004 to 2006 it's 2 years.
Difference in prices:
$1.35 - $1.25 = $0.10
Average change of price per year:
$0.10 / 2 years = $0.05/year
