Answer:
16.6°
Step-by-step explanation:
The triangle can be solved using the Law of Cosines to find the side opposite the given angle, then the Law of Sines to find the missing angle from the given sides.
__
We choose to use a=10, b=4, C=29°.
c² = a² +b² -2ab·cos(C) . . . . . law of cosines
c² = 10² +4² -2·10·4·cos(29°) ≈ 46.0304
c ≈ √46.0304 ≈ 6.78457
Then angle B (opposite side b) is ...
sin(B)/b = sin(C)/c . . . . . . . . . law of sines
sin(B)/4 = sin(29°)/6.78457
B = arcsin(4/6.78457×sin(29°)) ≈ 16.6085°
The missing acute angle is about 16.6°.
Which of the following is a closed statement?
A) yis not an odd number .
B) z is a positive number
D) x is an odd number .
D) 30 is an odd number .
Answer:
30 is an odd number
Step-by-step explanation:
hope it help
Question:
Which of the following is a closed statement?
Answer:
D) 30 is an odd number .Step-by-step explanation:
#hope it helps!
Answered by ReyvREYV111
Need help please .The ares of the sector shown below is 59 yd^2 find the length of the radius. Round to the nearest whole number use 3.14 for pi
[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ A=59\\ \theta =40 \end{cases}\implies 59=\cfrac{(40)\pi r^2}{360}\implies 59(360)=40\pi r^2 \\\\\\ \cfrac{59(360)}{40\pi }=r^2\implies \cfrac{531}{\pi }=r^2\implies \sqrt{\cfrac{531}{\pi }}=r\implies 13\approx r[/tex]
the graph of y=x^3+x^2-6x is shown estimate the x coordinates of the turning point of the graph,
(a). From the graph the x estimates of the turning points are
-1.8 and 1.1.
(b). The solutions are where the graph crosses the x axis .. They are:
x = -3, 0 and 2.
What is polynomial?A polynomial is defined as the sum of the same variables having different powers.
Here we have the two third-degree polynomials
x³+x²-6x=0
For this the value of the variable at the turning point of the graph will be
at x=-1.8 and 1.1.
The another equation is :-
x³+x²-6x=0
The solution of the equation will be x = -3, 0 and 2. where the graph crosses the x-axis.
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Write the equation of the line that passes through the points (7,-6) and (-6,2).
Answer:
Here is the ans...hope it helps
ethan sorts shapes into two groups as shown what mistakes did ethan make
Ethan's mistakes in sorting the shapes into two groups are:
Shape C does not belong to group 1 because it does not have square cornersShape F does not belong to group 2 because it does not have any square cornersHow to spot the mistakes?From the complete question (see attachment), the shapes are grouped using the following criteria:
All the shapes in group 1 have 4 square cornersAll the shapes in group 2 have exactly 1 square cornerUsing the above rules, Ethan's mistakes are: shapes C and F are placed in the wrong groups
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In City Park, the playground takes up 3/8 of the area. The soccer field area is 1/3 of the playground area. The product 13×38 can be used to find the area of the soccer field. Which is the area of the soccer field?
The area of the city park will be equal to 3952 square units.
What is the area?The Area is defined as the space occupied by the two-dimensional geometry in a plane.
We have the following information:-
In City Park, the playground takes up 3/8 of the area:-
[tex]\rm PGA=\dfrac{3}{8}\times CP[/tex]
The soccer field area is 1/3 of the playground area.
[tex]\rm SF=\dfrac{1}{3}\times PGA[/tex]
The product 13×38 can be used to find the area of the soccer field
SF= 13 x 38=494 square units
Noe the PGA will be:-
PGA =3 x SF
PGA= 3 x494=1482 square unit
Now the area of the city park will be calculated as:-
[tex]\rm CP=\dfrac{8}{3}\times PGA\\\\\\CP=\dfrac{8}{3}\times 1482[/tex]
CP=3952 square unit
Hence the area of the city park will be equal to 3952 square units.
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A triangle has sides with lengths of 55 feet, 65 feet, and 81 feet. Is it a right triangle?
yes
no
The chance of winning based on the type of lottery tickets we purchase is 0.05, or 1 in 20. We will play each saturday until we win. What is the probability of winning on the fourth ticket?
a .05
b .0407
c .0475
d .04287
Answer:
Given that the probability of winning is = 0.05
So the probability of losing is = 1 - 0.05 = 0.95.
We are told we have a 1 in 20 chance
Success: 0.05
Failure: 0.95
P(X=4)= 0.95*0.95*0.95*0.05
So the chance is 0.04286 or Option D
3 different ways to write 5^11
Answer:
There are many ways we can write [tex]5^{11}[/tex] one of them being that we just write 11 fives being multiplied against each other like the following:
[tex]5*5*5*5*5*5*5*5*5*5*5[/tex]
This can seem very repetitive which is why powers are a lot more helpful. We can also rewrite [tex]5^{11}[/tex] using the power in the bottom of a fraction. The way that we do this is put [tex]5^{-11}[/tex] on the bottom which can then be flipped to the top with a positive power and will be the same.
[tex]\frac{1}{5^{-11}}[/tex]
The final way that we can rewrite [tex]5^{11}[/tex] is by using several different powers. We can do [tex]5^6*5^5[/tex] which will equal the same thing as [tex]5^{11}[/tex] because the base is the same and what we basically do is just add up the powers together to get back to 11.
[tex]5^6*5^5[/tex]
Answer:the answer above is correct
Step-by-step explanation:
Solve for the point of intersection using elimination.
5x+2y=3 3x-2y=5
please help me!
Answer:
5x+2y=3 3x-2y=5
7xy=3 xy=5
7xy+xy=3+5
6xy=8
Step-by-step explanation:
it's are the answers
Please Help its a math problem amber has done 3 projects this year in Social Studies and wants a mean project grade of 92. Her first three project grades are 92, 93 and 89. What does she need to make on the fourth project to meet her goal?
Question 5 options:
94
90
95
92
Answer:
a) 94
Step-by-step explanation:
92 + 93 + 89 + 94 = 368/4= 92
Answer:
94
explanation:
because common sense
work out the height of this triangle with a base,B=2.1mm and an area of, A=39.06mm squared
Answer:
37.2mm
Step-by-step explanation:
A = ½bh
h = (2A)/b
h = (2(39.06))/2.1
h = 78.12/2.1
h = 37.2mm
2700 bricks are needed to build 300 square feet of a wall. How many bricks will be needed to build 1800 square feet of wall
Arlene is cutting square tiles along the diagonal to make pieces for a mosaic. What is an expression for the maximum diagonal length?
A. x√2
B. x √3/2
C. x^2/2
D. 2x√2
Answer:
Hello your answer is either A. B. C. OR D.
Step-by-step explanation:
This is correct cus it cant be wrong
also my other acc
is brokededed =(
Answer:
it could be one of those answers
Step-by-step explanation:
:P
Nuggets~
Students arrive randomly at the help desk of the computer lab. There is only one service agent, and the time required for inquiry varies from student to student. Arrival rates have been found to follow the Poisson distribution, and the service times follow the negative exponential distribution. The average arrival rate is 10 students per hour, and the average service rate is 20 students per hour. A student has just entered the system. How long is she expected to stay in the system (in minutes)?
The amount of time that she is expected to stay in the system is; 7.5 Minutes
How to find the average of Exponential Functions?We are given;
The average number of arrivals of customers, λ = 12 students/hour.
The average service rate of a single server; μ = 20 students/hour.
The average of an exponential distribution is given by the formula:
E(X) = 1/μ
However, the amount of time that she is expected to stay in the system is;
t = 1/(μ - λ)
t = 1/(20 - 12)
t = 0.125 hours
Converting to minutes gives;
t = 0.125 * 60
t = 7.5 minutes
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You spin the spinner once, what is P(not even)
There is three parts to the spinner
Answer:
dad
Step-by-step explanation:
x + 10
Find the value of x
Answer:
Step-by-step explanation:
Comment
All triangles have 180 degrees. In this triangle, there is 1 ninety degree angle. The other two are related.
Equation
x + x + 10 + 90 = 180 Combine the left
Solution
2x + 100 = 180 Subtract 100 from both sides
2x+100-100 = 180-100
2x = 80 Divide by 2
2x/2 = 80/2
x = 40
Answer
x = 40
x + 10 = 40 + 10 = 50
which shape listen below will result from cross section b?
Answer: Ellipse
This cross section is not parallel to the circular base, so we get a stretched out circle of sorts. In other words, we get an ellipse.
A rhombus, PQRS, has vertices at the points P(6, 2), Q(7,4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down. The image of PQRS is P'Q'R'S'. Work out the coordinates of the vertices of P'Q'R'S'.
Answer:
P': (3, 0)
Q': (4, 2)
R': (3, 4)
S': (2, 2)
Step-by-step explanation:
A rhombus, PQRS, has vertices at the points P(6, 2), Q(7, 4), R(6, 6) and S(5, 4). PQRS is translated 3 squares left and 2 squares down.
Rule: (x - 3, y - 2)
1. Using the given rule, find the new coordinates of the new image:
P': (6, 2) ➺ (6 - 3, 2 - 2) ➺ (3, 0)
Q': (7, 4) ➺ (7 - 3, 4 - 2) ➺ (4, 2)
R': (6, 6) ➺ (6 - 3, 6 - 2) ➺ (3, 4)
S': (5, 4) ➺ (5 - 3, 4 - 2) ➺ (2, 2)
New coordinates:
P': (3, 0)
Q': (4, 2)
R': (3, 4)
S': (2, 2)
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The radius of a circle is 10 m. find its area to the nearest whole number.
[tex]\rule{200}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
The radius of a circle is 10 m. Find its area to the nearest whole number.
[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We're asked to find the area of the circle, which we can find using the following formula:-
[tex]\bold{Area_{(circle)}=\pi r^2}[/tex]
Where:-
π = pi [3.14...]r=radius (10 m)What we need to do to find the area:-[tex]\dagger[/tex] Substitute 10 for r and 3.14 for π:-
[tex]\hookrightarrow\sf{A=3.14\times(10^2)}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\bold{A=3.14\times100}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\bold{A=314}[/tex]
[tex]\bigstar[/tex] The Area is:-
[tex]\bold{A=314\:m^2}[/tex]
[tex]\square\!\!\!\!\!\!\bigstar[/tex] Note:- Area is always measured in units² (units squared)
Good luck with your studies.[tex]\rule{300}{3}[/tex]
giving brainliest help asap
Answer:
12,30
Step-by-step explanation:
Hence the numbers can either be (6,60) or (12,30), but as both the numbers are greater than 6 so the answer is (12,30)
Move a number or variable to each line to create the expression.
Answer:
y + 5x + 8
Explanation:
Has three termscoefficient of 5constant of 8Move numbers or variable:
y + 5x + 8
Additional Information:
x + y + 1
This has three terms, coefficient of 1, constant of 1
Answer:
[tex]\huge\boxed{\bf\: x + 5y + 8}[/tex]
Step-by-step explanation:
We need to make an expression using the given conditions. Let's look at them in order.
Condition 1:
If the expression has three terms then let's take the three terms as, x, y & z. Therefore, the expression uoto now = x + y + z.
Condition 2:
Now, the expression has a term with coefficient = 5. Let's put 'y' with coefficient 5 since the second term has two blanks in the question. So, expression = x + 5y + z.
Condition 3:
The expression also has a constant 8. By substituting the value of 'z' with 8 (as 'z' is not given in the options), we get the final expression as → x + 5y + 8.
[tex]\rule{150pt}{2pt}[/tex]
Solve this equation for x. X+13=22
Answer:
The value of X = 9
Step-by-step explanation:
X+13=22
X = 22-13
X = 9
In the diagram, triangle A B C and triangle C D A are congruent. What is the length of segment A D?
Answer:
Theres no picture but is it the square root of 33?
Step-by-step explanation:
Complete the sentences below.
Shape
C
Shape B is the only shape with three sides.
Shape A is the only shape with Stra lines of symmetry.
Submit Answer
is the only shape with no right angles.
Answer:
shape A is the only shape with 4 lines of symmetry.
Step-by-step explanation:
A line of symmetry are imaginary lines that passes through the centre of a shape and divides it into equal and identical halvesshape A is a square and a square has 4 lines of symmetry
so therefore, shape A is the only shape with 4 lines of symmetry.
Please help me mi amor !!! I really need help
Step-by-step explanation:
it is really simple.
first of all, when 2 lines intersect (and we are talking straight lines, otherwise they are not lines in the mathematical sense), the angles created are the same in both sides of the lines (just left-right mirrored).
and secondly, the sum of all angles around a single point in one side of a line must be 180°, as the line can be considered the diameter of a circle, the point the center is the circle, and all the angles on one side are a half-circle.
so,
angle 3 = 37°
that means
angle 1 = 37° too
angle 2 is supplementary to e.g angle 3 (that means they both add up to 180° as explained above).
angle 2 = 180 - 37 = 143°
and angle 4 = 143° too
°116°
56
f
What is the degree measure of f?.
Answer:
C. 60
Step-by-step explanation:
ignore the numbers on top of the fruits but can someone help solve this?
Step-by-step explanation:
I don't know what the 3rd fruit is. let's call it an apple.
so,
1 apple + 3 cherries = 3 bananas
1 apple = 3 bananas - 3 cherries
1 banana + 2 cherries = 1 apple = 3 bananas - 3 cherries
5 cherries = 2 bananas
1 apple + 1 banana = (1 banana + 2 cherries) + 1 banana =
= 2 bananas + 2 cherries =
= 5 cherries + 2 cherries =
= 7 cherries
the numbers did not help, as they were wrong.
e.g. if you assume the apple = 5, a cherry = 1 and a banana = 2, you would get 8 = 6 on the first scale.
if you change the apple to a 3, that would make the first scale true (6 = 6), but the second scale wrong (4 = 3).
funny enough, the other answer got 7 nevertheless (but the wrong way - actually 2 mistakes balanced each other out).
it is 7 cherries, though !
the actual numbers would be e.g.
a cherry = 1
then
1 banana = 5/2 = 2.5
1 apple = 3×5/2 - 3 = 15/2 - 6/2 = 9/2 = 4.5
to get whole numbers, we could multiply all by 2 :
cherry = 2
banana = 5
apple = 9
and then the first balance :
9 + 3×2 = 3×5
9 + 6 = 15
15 = 15 correct
the second balance
5 + 2×2 = 9
9 = 9 correct.
Find three consecutive integers such that their sum is 40 more that tiwce the middle integer.
Answer:
39, 40, 41
Step-by-step explanation:
Let x represent the middle integer. The sum of the three integers will be ...
(x -1) +x +(x +1) = 3x
This is 40 more than 2 times the middle integer, so we have ...
3x = 40 +2x
x = 40 . . . . . . . subtract 2x
The three integers are 39, 40, 41.
_____
Additional comment
It often works well to solve consecutive integer problems by letting a variable represent the middle value, or the average of the integers.
1) Set up, but do not solve, a system of equations for the following application: A nurse mixes a 100% saline solution with a 20% saline solution to produce 160 milliliters of a 25% saline solution. How much of the 100% saline solution and how much of the 20% saline solution were used?
The systems of the equations for the word problem can be expressed as:
x + y = 500 --- (1)100x + 20y = 4000 --- (2)What is a system of equations?The system of equations is a set of simultaneous equations that comprises two or more equations expressed in algebraic terms.
From the given information, we are to determine two quantities
i.e.
For 100% saline solution (x) andFor 20% saline solution (y)So, 100% and 20% of saline solution produce 160 millimeters.
x + y = 160
Also, the combination of 100% and 20% of saline solution give an average of 25%.
The average now = sum of numbers/ the total numbers
25% = sum of numbers/160
sum of numbers = 25% (160)
Therefore, we can equate it to the mixture carried out by the nurse.
i.e.
25% (160) = 100%(x) + 20%(y)
100x + 20y = 4000
Therefore, the systems of the equations are:
x + y = 500 --- (1)
100x + 20y = 4000 --- (2)
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