PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE "Brainliest" TO THE FIRST CORRECT PERSON!!!
Find the values of x and y. Write your answers in the simplest form.
Answer: [tex]x=18[/tex] ; [tex]y=6\sqrt{3}[/tex]
Step-by-step explanation:
You can write two expressions that are in terms of 'x' and 'y'. This is a right triangle, so Pythagorean's theorem can be used. We can also use the angle to find the sine of 30 degrees.
Pythagorean's Theorem:
The values 'a' and 'b' are the two shorter sides of the triangle, while the value 'c' is the longest side of the triangle; the hypotenuse.
[tex]a^2+b^2=c^2[/tex]
[tex]x^2+y^2=(12\sqrt{3} )^2[/tex]
[tex]x^2+y^2=12^2*\sqrt{3} ^2=432[/tex]
Sine of the Angle:
Sine is defined to be the opposite side divided by the hypotenuse. Let's take the sine of 30 degrees:
[tex]sin(\alpha )=opposite/hypotenuse[/tex]
[tex]sin(30)=y/12\sqrt{3}[/tex]
[tex]\frac{1}{2} =y/12\sqrt{3}[/tex]
[tex]y=6\sqrt{3}[/tex]
Plug this value of 'y' into the first expression derived from Pythagorean's theorem:
[tex]x^2+y^2=432[/tex]
[tex]x^2+(6\sqrt{3} )^2=432[/tex]
[tex]x^2+108=432[/tex]
[tex]x^2=432-108=324[/tex]
[tex]x=\sqrt{324}[/tex]
[tex]x=18[/tex]
Use this value of 'x' to solve for 'y' in the expression from Pythagorean's theorem:
[tex](\sqrt{324})^2+y^2=432[/tex]
[tex]324+y^2=432[/tex]
[tex]y^2=432-324=108[/tex]
[tex]y=\sqrt{108}[/tex]
[tex]y=\sqrt{36*3}[/tex]
[tex]y=6\sqrt{3}[/tex]
In a jar of 250 jelly beans, a random sample of 25 is pulled. In the random sample, 15 of the jelly beans are red. How many jelly beans are likely to be red in the entire jar?
I need help please. I have no idea how to do this
Answer:
Letter A is 100 degrees.
Letter B is 80 degrees.
Step-by-step explanation:
50+60= 110
180-110= 80 <- the leftover degrees for the triangle
a line is 180 degrees, so 100 degrees is left over for letter A.
Graded Assignment
Unit Test, Part 2: Two-Dimensional Geometry
Answer the questions below. When you have finished, submit this assignment to your teacher by the due date for
full credit.
Total score:
of 15 points
(Score for Question 1:,
of 5 points)
1.
The iS diagram shown is two intersecting lines. The measure of 25 is 47°.
(a) What is the measure of 27 ? How do you know. Explain you answer in complete sentences.
(b) Suppose the measure of 26 can be represented by (2x-5)). What equation can be written to solve
for the value of x?
(c) What is the value of x?
Answer:
By using what we know about intersecting lines, we will see that:
a) ∡7 = 47°b) 47° + (2x - 5)° = 180°c) x = 69How to get the measures of the angles for two intersecting lines?When two lines intersect, 4 angles are formed. There are two properties that these angles have.
If the angles are adjacent, then their measures add up to 180°If the angles are not adjacent, these angles have the same measure.a) We know that ∡5 = 47°
And 7 is not adjacent to 5, then 7 has the same measure:
∡7 = 47°
b) 6 and 5 are adjacent, then we must have that:
∡5 + ∡6 = 180°
47° + (2x - 5)° = 180°
That is the equation we need to solve to get the value of x.
c) To solve the linear equation we need to isolate x, let's do that:
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
Answer:
a) <5 and <7 have congruent angles. That means that both angles are equal, they have the same measure. This means that the measure of <7 is 47°.
<7 = 47°
b) 5 and 6 are adjacent, so this is the equation that we have to do to solve for the value of x.
<5 + <6 = 180°
47° + (2x - 5)° = 180°
c) To solve the linear equation we need to isolate x.
47° + (2x - 5)° = 180°
(2x - 5)° = 180° - 47° = 133°
2x - 5 = 133
2x = 133 + 5 = 138
x = 138/2 = 69
The scatter plot shows the average monthly temperature, x, and a family's monthly heating cost, y, for 23 different months.
(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.
(b) Using your equation from part (a), predict the monthly heating cost for a month with an average temperature of 35 °F.
Note that you can use the graphing tools to help you approximate the line.
1. The equation of the line of best fit is: y = -1.15x + 102.8
2. Using the equation of the line of best fit, the predicted cost is: $62.55
What is the Equation of a Line of Best Fit?The equation of a line of best fit is represented by the equation, y = mx + b, where m is the slope and b is the initial value.
1. Using two points, (72, 20) and (20, 80):
Slope (m) = change in y / change in x = (80 - 20)/(20 - 72) = 60/-52
Slope (m) = -1.15.
Substitute m = -3 and (a, b) = (72, 20) into y - b = m(x - a)
y - 20 = -1.15(x - 72)
y - 20 = -1.15x + 82.8
y = -1.15x + 82.8 + 20
y = -1.15x + 102.8
The equation of the best line of fit is y = -1.15x + 102.8.
2. Monthly heating cost, y, for a month with an average temperature of 35°F (x) will be calculated by substituting x = 35 into y = -1.15x + 102.8.
y = -1.15(35) + 102.8
y = 62.55
The predicted monthly cost is $62.55.
Learn more about the line of best fit on:
https://brainly.com/question/17261411
If 9% of a number is 75, find 3% of that number.
Delta math again.
Answer:
25
Step-by-step explanation:
[tex]0.09a=75\\a=\frac{75}{0.09} \\0.03*a=0.03*\frac{75}{0.09} =25[/tex]
A zoo randomly sampled four groups of 100 people on what their favorite type of bear is. This data shows the results of the four samples.
Answer:
The Answer is 1555
Step-by-step explanation:
I took the test
How many significant figures are represented in 0.00509?
Answer:
there are three significant numbers
Answer:
three
Step-by-step explanation: 0.00509; the first three zeros are not significant since they come before a non-zero number, the final three digits are significant
y
The equation y=-x2 - 8x – 18 is shown by graph
B
The equation y=x2 - 4x + 7 is shown by graph
6
A
2
NO
2
r
The equation y=x+5 is shown by graph
-10
2
10
The equation y=-3x - 6 is shown by graph
С
DONE
D
Intro
Answer:
y=-x2 - 8x – 18 is shown by graph D.
y=x2 - 4x + 7 is shown by graph A.
y=X+5 is shown by graph C.
y=-3x - 6 is shown by graph B.
Step-by-step explanation:
In y=-x2 - 8x – 18, the coefficient of x2 is less than 0.So the graph only has a maximum value.Thefore , the graph is point upward.
In y=x2 - 4x + 7, coefficient of x2 is greater than 0.
So the graph has a minimum point and is pointed downward.
for y =x + 5, the gradient is positive.so it is graph C.There is another way to find out too but this is quicker for now.
for y = -3x - 6, the gradient is negative ,-3.So it is the graph B.
Answer:
D A C B
Step-by-step explanation:
Shade one more square so that this pattern has rotational symmetry of order 2.giving magnificent amount of points
Step-by-step explanation:
second colum third row ....
The dot plot below shows the number of books 26 students read in a month:
Dot plot labeled Number of Books Read shows 10 dots over 0, 7 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, and 3 dots over 10.
Is the median or the mean a better center for this data and why?
Mean; because the data is skewed and there are outliers
Mean; because the data is symmetric and there are outliers
Median; because the data is skewed and there are outliers
Median; because the data is symmetric and there are outliers
Answer:
The answer is A. Mean; because the data is skewed and there are outliers
Answer:
The answer is A
Graph y=-3x+4 slope intercept
Answer:
Check the attachment.
Step-by-step explanation:
1) Create a table. Substitute the [tex]x[/tex] values into the this: [tex]y=-3x+4[/tex].
[tex]x[/tex]: 0, 1, 2
[tex]y[/tex]: 4, 1, -2
2) Plot the coordinates on the graph and draw a line from one point to the other. Make sure you extend the line, and add the equation beside the line drawn. Check the attachment for a better visual.
What is 50 of 110? my work is due tommro
Answer:
55
Step-by-step explanation:
♡♡♡♡
There are 57 people touring the mooresville zoo. The wagons at the zoo can only carry 7 people. How many wagons will this group need for their tour?
The area of the triangle below is 29.25 square centimeters. What is the length of the base?
Answer:
b = 9
Step-by-step explanation:
0.5 bh= 29.25
thus
(0.5)(b)(6.5)=29.25
thus
b= 58.5/6.5 = 9
Answer:
9?
Step-by-step explanation:
solve for x ~
[tex]16x - 4 = 0[/tex]
thankyou ~
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Here we go ~
[tex]\qquad \tt \dashrightarrow \:16x - 4 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:16x - 4 + 4 = 0 + 4[/tex]
[tex]\qquad \tt \dashrightarrow \:16x = 4[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 4 \div 16[/tex]
[tex]\qquad \tt \dashrightarrow \:x = \frac{1}{4} [/tex]
The Value of x is :-
16x - 4 = 0
16x = 4
x = 4/16
x = 1/4
Help will give thanks to the first to answer
Answer:
x-4
Step-by-step explanation:
because a number could be x and all you have to do is subtract 4 from a number making it x-4
Answer:
4-x
Step-by-step explanation:
Because it says that x is subtracted from 4 which would make it understood that 4 is the first term and then x.
Determine which solution is correct for solving
Answer:
3rd option
Step-by-step explanation:
[tex]\frac{5}{7}[/tex] y = 6
multiply both sides by [tex]\frac{7}{5}[/tex] , the reciprocal of [tex]\frac{5}{7}[/tex] )
[tex]\frac{7}{5}[/tex] ( [tex]\frac{5}{7}[/tex] y ) = [tex]\frac{7}{5}[/tex] (6) , that is
y = [tex]\frac{42}{5}[/tex]
What is the range for y=-3x^2-12x-17?
PLEASE ANSWER I WILL GIVE OUT FREE MORE POINT AND MARK BRAINIST ONLY IF YOU GOT IT RIGHT THO I WILL CHECK ! PLEASE AND THANK YOU :))))
Answer:
RANGE: y greater than or equal to -5 (b)
Graph the function
Attached
Vertex at (-2,-5)Then
y=-(3x²+12x+17)y=-(9x²+36x+51)y=-[(3x)²+2(3x)(6)+51-25+25]y=-[(3x)²+2(3x)(6)+36+25]y=-[(3x+6)²+25]y=-[(3x+6)²+5²]We know
a²+b²=(a-b)²+2abVertex form of parabola
a(x-h)²+kvertex:-
(h,k)=(-2,-5)Range:-
y≤-5120 students are surveyed and 15% of them are interrested in a career in information technology what is the total number of students interrested in this career
Answer:
18
Step-by-step explanation:
15% of 120 is 18
If 1/4in on a map represents 1 meter, how many meters does 4/5in represent?
Answer:
3 1/5 meters
Step-by-step explanation:
1/4 in. on map ⇒ 1 meter in real life
1/4 can also be written as 5/20⇒ 1/20 = 1/5 meter⇒ 4/5 in. = 16/20 inches
⇒ 16/20 inches = 1/5 x 16 = 3 1/5 meters
Find the value of (110) base two leaving your answer in base two
[tex](110)_{2} = (1 \times 2^2 + 1 \times 2^1 + 0 \times 2^ 0)_{10}\\\\~~~~~~~~~~=(4+2+0)_{10}\\\\~~~~~~~~~~=(6)_{10}[/tex]
Which point is not on the graph of the function y = x - 1?
(9, 8)
(8, 7)
(5, 6)
(4, 3)
Answer:
C. (5,6)
Step-by-step explanation:
Hope this helps. please give brainliest
Jake is enclosing a rectangular field that is 47 yards by 158 yards with wood fencing. The cost per foot of wood fencing is $3.28.
How much will the wood fencing cost?
Answer options with 4 options
A.
$672.40
B.
$1,344.80
C.
$2,017.20
D.
$4,034.40
Answer:D
Step-by-step explanation: Perimeter of field is 2(length +breadth)
=2(47+158)
=410 yards.
Convert to feet= 1230ft
1ft =$3.28
1230ft will be 1230×3.28
Ans $4034.4
What is the explicit formula for this geometric sequence?
8, 4, 2, 1, …
Answer:
[tex]a_{n} = \frac{8}{2^{n-1} }[/tex]
Step-by-step explanation:
A geometric sequence has a constant ratio (r) and is defined by:
[tex]a_n=a_1r^{n-1}[/tex]
Since the first value is 8, [tex]a_{1}[/tex] = 8.
[tex]a_n=8r^{n-1}[/tex]
We can also see that a_n is double that of the next value in the sequence [tex](a_{n} = 2a_{n+1}})[/tex], hence r = 1/2
[tex]a_n=8\left(\frac{1}{2}\right)^{n-1}[/tex] or
[tex]a_{n} = \frac{8}{2^{n-1} }[/tex]
Graph the function f(x) = x3 – 4x – 1. Which are approximate solutions for x when f(x) = 0? Select three options.
–2.11
–1.86
–0.25
0.25
2.11
The roots of the polynomial will be -1.86, -0.25, and 2.11. Then the correct options are B, C, and E.
What is the solution of the polynomial?Let a, b, c, and d be the zeroes of the polynomial and k be the leading coefficient.
Then the polynomial is given as,
⇒ k(x - a)(x - b)(x - c)(x - d)
The degree of the polynomial will be greater than or equal to the number of zeroes.
The zeroes of the polynomial are the intersection points of the curve with the x-axis.
The graph of the polynomial is drawn below.
From the graph, the roots of the polynomial will be -1.86, -0.25, and 2.11. Then the correct options are B, C, and E.
More about the polynomial link is given below.
https://brainly.com/question/11536910
#SPJ7
WILL GIVE BRAINLEST! Pls answer fast :)
An oil company uses cylindrical storage tanks. Each tank has a radius of 14 ft and is 27 ft tall.
What is the volume of a tank?
Answer:
C. 5,292[tex]\pi[/tex]ft²
Step-by-step explanation:
V=[tex]\pi r^2h[/tex]
V=[tex]\pi *14^2 *27[/tex]
[tex]14^2*27= 5,292[/tex]
Answer is C. 5,292[tex]\pi[/tex]ft²
Hope this helps! Have a good day! :)
Answer:
c
Step-by-step explanation:
hope this helps have a nice day:)
1. Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.
weekly raise= $145
solution:let's assume the first paycheck as x.
she got a weekly raise of $145.
So, after concluding the first week she'll get $ (x+145).
likewise, after completing the second week she'll get $ (x + 145) + $ 145.
= $ (x + 145 + 145)
= $ (x + 290)
therefore, this is how her salary will get increased by $145 at the end of every week.
In which number does the digit 2 have a value that is ten times as great as the value of the digit 2 in the number 135,284?
29,831
42,938
298,893
326,894
HELP PLEASE!!!!!!!!
Answer:
42,938
Step-by-step explanation:
42 938
- the digit 2 in 135,284 is in the hundreds and the digit 2 in 42938 is the thousands digit.
Answer:
Step-by-step explanation:
The value of the 2 in 135,284 is 200 or in the hundreds column
The value of the 2 in 42,938 is 2000
The value of the 2 in the bottomnumber is 10 times larger than the value of the 2 in the first number..
{(x, y): y= 3x + 2| and xe (-2, -1, 0, 1, 2)).
(-2,__)
12
3
0
It looks like you're given a set
{(x, y) : y = 3x + 2}
i.e. the set of points (x, y) = (x, 3x + 2), and you're told that x is taken from the set {-2, -1, 0, 1, 2}.
When x = -2, the corresponding value of y is
y = 3•(-2) + 2 = -6 + 2 = -4