Answer:
A. x = 11√3
B. y = 11
Step-by-step explanation:
A. Determination of the value of x.
Angle θ = 60°
Hypothenus = 22
Opposite = x =?
We can obtain the value of x by using sine ratio as illustrated below:
Sine θ = Opposite / Hypothenus
Sine 60 = x / 22
√3/2 = x / 22
Cross multiply
2 * x = 22√3
Divide both side by 2
x = (22√3) / 2
x = 11√3
B. Determination of the value of y.
Angle θ = 60°
Hypothenus = 22
Adjacent = y =?
We can obtain the value of y by using cosine ratio as illustrated below:
Cos θ = Adjacent / Hypothenus
Cos 60 = y / 22
½ = y / 22
Cross multiply
y = ½ × 22
y = 11
Expand and Simplify
10a-(3a+7)
The length of a rectangle is 3 times the width. The perimeter of the rectangle is 64 cm. Show the equation that would be used to find the dimensions of the rectangle.
Answer:
64 = 2(3x + x)
Step-by-step explanation:
Perimeter of the rectangle = 64 cm
Width of the rectangle = x
Length of the rectangle = 3x
Perimeter of a rectangle = 2(length + width)
The equation is
64 = 2(3x + x)
64 = 6x + 2x
64 = 8x
x = 64/8
x = 8 cm
Width of the rectangle = x = 8 cm
Length of the rectangle = 3x
= 3(8 cm)
= 24 cm
What is the area of this polygon
Answer:
51
Step-by-step explanation:
1. Approach
One is given the polygon, (ABCDE); the problem asks one to find the area of this polygon. The most logical step to take is to divide this polygon into easier parts, find the area of each part, and then add up the area to find the total area of the figure.
One way to divide this figure up is to draw the line (AC). This will create the triangle (ABC) and rectangle (ACDE).
2. Find the area of (ABC)
The formula to find the area of a triangle is the following:
[tex]A=\frac{b*h}{2}[/tex]
Where (b) is the base of the triangle, and (h) is the height. The base of the triangle (ABC) is (AC), which has a measure of (6) units. The height of the triangle is the distance from the base of the triangle to the vertex opposite the base. This measurement is (3) units. Substitute these values into the formula and solve for the area:
[tex]A=\frac{b*h}{2}[/tex]
Substitute,
[tex]A=\frac{6*3}{2}\\\\A=\frac{18}{2}\\\\A=9[/tex]
3. Find the area of (ACDE)
The formula to find the area of a rectangle is as follows:
[tex]A=b*h[/tex]
The base of the rectangle is the segment (AE), with a measure of (7) units. The height of the rectangle is the segment (AC) with a measurement of (6) units. Substitute these values into the formula and solve for the area:
[tex]A=7*6\\\\A=42[/tex]
4. Find the area of the total figure
To find the area of the total figure, add up the area of the triangle, and the area of the rectangle:
[tex]9+42= 51[/tex]
Which function is shown in the graph below? Please hurry I’m being timed!!!
Caroline earns $49000 a year, and her friend Jennifer earns $51000 a year but doesn't belong to a health fund. The tax rule this year is $40000 and above pay $5000 plus 40 cents in the dollar in tax on anything over $40000 per annum and $50000 and above pay $ 9000 plus 30 cents in the dollar in tax on anything over $ 50,000per annum, plus 2% of her income if he is not in a health fund.
Answer:
Caroline has to pay $8600 taxes
Jennifer has to pay $10320 taxes
Step-by-step explanation:
I guess the question is who has to pay how much taxes, right ?
Caroline earns $49000, and I guess, she belongs to a health fund.
she has to pay $5000 for the first $40000.
and for the remaining $9000 she has to pay $0.40 per dollar.
that means 9000×0.4 = $3600
and no penalties for no health fund.
so altogether $5000 + $3600 = $8600 taxes
Jennifer earns $51000 and did not belong to a health fund.
she has to pay $9000 for the first $50000.
and for the remaining $1000 she had to pay $0.30 part dollar.
that means 1000×0.3 = $300
and 2% of the total income because no health fund
51000×0.02 = $1020
so, altogether $9000+$300+$1020 = $10320 taxes
Finish the following table for the given function with x as the independent variable
Answer:
hi?
Step-by-step explanation:
Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:
3x + 12 + 2 = 2 + 5x – 20
3x + 14 = 5x – 18
14 = 2x – 18
32 = 2x
16 = x
Answer:
The answer is correct
Step-by-step explanation:
3(x + 4) + 2 = 2 + 5(x – 4)
3x + 12 + 2 = 2 + 5x - 20
3x + 14 = 5x - 18
-2x = -32
x = 16
What is the solution to this system of equations?
2x+y = 6
- - x - y = 2
0
0
(1, -1)
(0,8)
infinitely many solutions
no solution
Answer:
Step-by-step explanation:
{ 2/3 x+y=6
+
{ -2/3x-y=2
= 0=6
Hence,no solution.
please anyone help no wrong asnwers plss ------
PLZZZZ HELPPPP… IF NOT 100% SURE PLZZ DONT ANSWER! BRAINLIEST TO FIRST AND CORRECT ANSWER!
Answer:
7/10
Step-by-step explanation:
½ of a cup of cheddar=½ x 1=½
⅕ of a cup of parmesan=⅕ x 1=⅕
all cheese used=½ + ⅕= 7/10
I don't have time to do this before my class, could someone help? Thanks so much
Answer:
AD=27
Step-by-step explanation:
Akili has two tests next week. The probability that he will pass the first test, science, is 34 . How he does on that test affects how he will do on his math test. If he passes science, then the probability that he will also pass the math test is 45; otherwise, the probability is only 13 that he will pass the math test. If the probability he passes exactly one test can be expressed as mn for two relatively prime positive integers m and n, what is m n
Answer:
Following are solutions to the given question:
Step-by-step explanation:
First-test probability: [tex]\frac{3}{4}[/tex]
A person's chances of passing a second test are reduced if he fails the first test: [tex]\frac{1}{3}[/tex]
However, the chance of failing the first test is 1 in 4. As just a result, the probability of these events is low.
[tex]\to \frac{1}{4}\times \frac{1}{3}=\frac{1}{12}\\\\\to \frac{3}{4} + \frac{1}{12} = \frac{9+1}{12} = \frac{10}{12} = \frac{5}{6}[/tex]
One of the other.
HELPPPP MEEEE OUTTTT!!!
Answer:
Solution given:
Relationship between base and hypotenuse is given by Cos angle
Cos Angle(?)=base/hypotenuse
Angle{?}=Cos-¹(40/58)
Angle{?}=46°
The indicated angle is 46°
write 2^60 as an exponent with a base of 16
Recall that 2⁴ = 16. So you have
2⁶⁰ = 2⁴ˣ¹⁵ = (2⁴)¹⁵ = 16¹⁵
please help
yuffytdgtutidrysryrdf
Answer:
19 + 1 + 9 + 1
put any of those in the slots
Answer:
19 + 1 + 9 + 1
peace
Over what interval is the function in this graph constant?
Answer:
hjjjnnnhjjjjj
Step-by-step explanation:
answer is d
A parallelogram is cut out of a 12 inch by 8 inch sheet of paper there are four right triangles remnats two have the dimensions 2 inches by 9 inches and the other two have the dimensions 3 inches by 6 inches
Answer:
96 in²
36 in²
60 in²
6.51 in
Step-by-step explanation:
Given that :
Dimension of paper = 12 in by 8 in
Dimension of right triangles :
2 in by 9 in ; 3 in by 6 in
Area of sheet of paper = 12 in * 8 in = 96 in²
Area of triangle = 1/2 base * height
Therefore, area of remnant right triangle :
2 * 1/2 * 2 * 9 = 18 in²
2 * 1/2 * 3 * 6 = 18 in²
Combined area of triangle left = 18in + 18in = 36 in²
Area of parallelogram = Area of sheet - Area of triangles left
Area of parallelogram = 96in² - 36in² = 60 in²
Base, b of parallelogram = 9.22 in
Area of parallelogram = base * altitude,h
60in² = 9.22h
h = 60 / 9.22 = 6.51 in
Which of the following statements does not prove that ABCD is a parallelogram.
Given: A(-4, 7), B(3,0), C(2,-5) and D(-5, 2).
Answer:
answer A
Step-by-step explanation:
A=(-4,7)
C=(2,-5)
midpoint = U=((-4+2)/2, (7+(-5))/2)=(-1,1))
B=(3,0)
D=(-5,2)
midpoint = V=((3+(-5))/2,(0+2)/2)=( -1,1)
Diagonals have the same middle, the quadrilater is a parallogram.
TRIANGLES please help!! :)
Answer:
A
Step-by-step explanation:
First, the list of congruence theorems are:
SSS
SAS
ASA
AAS
HL
SSA is not on the list, so we can cross that out
Next, ASA implies that two angles are congruent, but we only know that one pair of angles (the right angles) are congruent, so we can cross that out
After that, the angle is not connecting the congruent sides, so D is not an option
Finally, we know that the longest sides (AD / AC) are congruent to each other, one other pair of legs/sides are congruent, and the triangles are both right triangles. Therefore, we can apply HL here
plz help me to do this
A random sample of 13 teenagers were surveyed for a hypothesis test about the mean weekly amount spent on convenience goods. Researchers conduct a one-mean hypothesis test, at the 1% significance level, to test whether the average spent per week on convenience goods is greater than 50 dollars.
Answer:
Please find the complete question and the graph in the attached file.
Step-by-step explanation:
On the basis of the data,
The level of importance is [tex]\alpha = 0.01[/tex]
Freedom levels [tex]= n -1 = 13 -1 = 12[/tex]
For the right-tailed test, the critical value is [tex]t_c = 2.681[/tex]
(Partially t-table permitted [tex]\alpha = 0.01 \ and\ df =12[/tex])
25)
Jackson's current salary is $36,000 per year. Each year his salary is 1.04 times the previous yeal's salary. What
will his salary be in his 5th year?
OA) $42,214.92
OB) $42,114.91
Answer:
$43,799.50
Step-by-step explanation:
USing the formula:
A = P(1+r)ⁿ
n is the time = 5
1 + r = 1.04
P = 36,000
Substitute the values into the formula
A = 36000(1.04)⁵
A = 36,000(1.2166529024)
A = 43,799.50
Hence the value in the fifth year will e $43,799.50
Help me plss I’m lost ☺️❤️
Answer:
there is only one way to to roll a 3
1/36 = .044 = 4.4%
Step-by-step explanation:
Find the general term of the ap whose 7th term is -1 and 16th term is 17? (pls Hurry up I will mark you Brainliest and don't reply in a silly way or I'll report you)
Answer:
The answer is -13.
Step-by-step explanation:
The formula of the nth term of an AP(arthimetic progression) is a+(n-1)d.
So the 7th term will be a+6d= -1 ---(1)
The 16th term will a+15d=17 ---(2)
Subtract (2) and (1)
a+15d-(a+6d)=17-(-1)
=a+15d-a-6d=17+1
9d=18
d=18/9
d=2.
Substitute d in eq (1)
a+6(2)= -1
a+12=-1
a= -1-12= -13
Thus the general term of the ap is -13
10 fracciones que generen decimales exactos 10 fracciones que generen decimales inexactos puros y 10 fraccionarios que generen decimales periódicos mixtos
Answer:
Un número decimal exacto es algo de la forma:
3.27
Para reescribir este número como una fracción, podemos ver que tiene dos dígitos luego del punto.
Entonces podemos multiplicar y dividir por 100 (misma cantidad de ceros que dígitos luego del punto decimal)
así obtenemos:
3.27*(100)/(100) = 327/100
Entonces la fracción 327/100 genera un decimal exacto.
Así, encontrar 10 fracciones es trivial, 10 ejemplos son:
7/10 = 0.7
314/100 = 3.14
27/10 = 2.7
27/100 = 0.27
2/10 = 0.2
25/100 = 0.25
31/10 = 3.1
12/10 = 6/5 = 1.2
131/10 = 13.1
142/100 = 1.42
Ahora, un decimal inexacto puro es algo de la forma:
3.33...
donde el 3 se repite infinitamente.
Tratemos de reescribir este número como una fracción:
primero debemos ver la cantidad de dígitos que se repiten, en este caso es uno solo, el 3, entonces multiplicamos por 10:
3.33*10 = 33.33...
Ahora, podemos restar el numero original:
33.333... - 3.333... = 30
Entonces tenemos que:
3.33*9 = 30
3.33 = 30/9
La fracción:
30/9 nos da in decimal inexacto puro.
Ahora que sabemos construirlas, 10 ejemplos pueden ser:
30/9 = 3.33....
1/3 = 0.33...
40/9 = 4.44...
50/9 = 5.55...
60/9 = 6.66...
70/9 = 7.77...
20/9 = 2.22...
55/9 = 6.11...
544/99 = 5.5959...
10/9 = 1.11...
Finalmente, un periódico mixto es algo de la forma:
1.2343434...
Es decir, el 34 se repite infinitamente, pero también tenemos un 2 luego del punto decimal, por lo que este número no es puramente periódico.
Para construirlos, podemos tomar una fracción exacta, como
1.1 y una periódica, como 1.11...
Si las sumamos, obtenemos:
1.1 + 1.11... = 2.211...
donde el uno se repetirá infinitamente.
Así, simplemente sumando las fracciones del primer caso con las del segundo, obtendremos decimales periódicos mixtos, por ejemplo:
7/10 + 55/9 = 613/90 = 0.7 + 6.11... = 6.8111....
7/10 + 10/9 = 163/90 = 0.7 + 1.11... = 1.811....
31/10 + 10/9 = 379/90 = 3.1 + 1.11... = 4.2111...
31/10 + 20/9 = 479/90 = 3.1 + 2.22... = 5.322...
31/10 + 30/9 = 579/90 = 3.1 + 3.33... = 6.4333...
27/10 + 20/9 = 443/90 = 2.7 + 2.22... = 4.922...
37/10 + 20/9 = 533/90 = 3.7 + 2.22... = 5.922...
4/10 + 10/9 = 136/90 = 0.4 + 1.11... = 1.511....
3/100 + 10/9 = 1027/900 = 0.03 + 1.11... = 1.14111...
4/10 + 20/9 = 236/90 = 0.4 + 2.22... = 2.622....
El periodo de un movimiento circular uniforme es de
8 segundos. ¿Cuál es su velocidad angular?
Answer: I dont understand what your saying im sorry, I'd really like to help but I cant :(
What is Index Law 1?
please give a definition
Answer:
LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . ... Example: In this example, the powers were multiplied together to give the answer which is 3 to the power of 6.
What is the minimum perimeter of a rectangle with an area of 625 mm^2
Question 2 options:
100 mm
125 mm
156.25 mm
312.5 mm
Show your work:
Answer:
100 mm
Step-by-step explanation:
Square root the area to find the length of each side
[tex]\sqrt[]{625} =25[/tex]
Multiply 25 by 4 to get the sum of all four sides for the perimeter
25 x 4 = 100
Analyze the diagram below and complete the instructions that follow.
Quadrilateral LMNO is a rectangle. Find MN.
A.
7
B.
10
C.
18
D.
27
Answer:
there is no diagram ......
Which of the following is a statement? (a) The fishes are beautiful (b) Study mathematics. (c) x is a capital of country y. (d) Water is essential for health.
Answer:
its letter a
Step-by-step explanation:
I hope you help
