Answer:
Step-by-step explanation:
For angle C,
cos(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = 0.97
sin(∠C) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = 0.26
tan(∠C) = [tex]\frac{\text{Adjacent side}}{\text{Adjacent side}}[/tex] = 0.27
Therefore, from the triangle ABC,
cos(∠A) = cos(90° - ∠C)
= sin(∠C)
= 0.26
sin(∠A) = sin(90 - ∠A)
= cos(∠A)
= 0.97
tan(∠A) = [tex]\frac{\text{sinA}}{\text{cosA}}=\frac{0.97}{0.26}[/tex]
= 3.73
Angle [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
A 0.26 0.97 3.73
The line plot shows the result of a survey asking students how many hours they spent reading last week.
How many students spent 5 or more hours reading?
Line plot named as ALTDCTime Spent Reading Last WeekALTDC shows a number line from 1 to 9. The number line is divided into 8 equal parts. 3 dots on 3, 1 dot on 4, 2 dots on 5, 3 dots on 6, 1 dot on 7 and 2 dots on 8 are given.
A. 8
B. 2
C. 6
D. 4
Answer:
Based on the line plot picture that is attached below it can be calculated that a total of 15 students spent 5 or more hours last week reading. This can be easily calculated by adding all the x's on the marks of 5 hours or more. With both the boys and girl students combined the tally was the following
5 hours : 4 students
6 hours : 1 student
7 hours : 3 students
8 hours : 3 students
9 hours : 0 students
10 hours: 2 students
11 hours : 2 students
12 hours : 0 students
Step-by-step explanation:
Answer: B
its B because the line shows how much 5 were there and there was 2 dots
Select ALL choices that are zeros of this function y=x2 +12x +32
Answer:
{-8, -4}
Step-by-step explanation:
Rewrite this function y=x2 +12x +32 as y = x^2 + 12x + 32; " ^ " indicates exponentiation.
Set this x^2 + 12x + 32 equal to zero (to find the zeros):
x^2 + 12x + 32 = 0. Let's solve this using the quadratic formula, which applies when ax^2 + bx + c = 0:
-b ± √(b^2 - 4·a·c)
x = -------------------------------
2a
The coefficients of the given quadratic are {1, 12, 32}. Thus, the discriminant is
b^2 - 4ac, or 12^2 - 4(1)(32), or 144 - 128, or 16. Therefore, we have:
-12 ± √16 -12 ± 4
x = -------------------- which simplifies to: x = --------------- = { -8, -4}
2 2
The zeros are {-8, -4}
Determine the correlation coefficient (r) for the linear relationship below.
Answer:
X Values
∑ = 53.5
Mean = 10.7
∑(X - Mx)2 = SSx = 151.086
Y Values
∑ = 6.9
Mean = 1.38
∑(Y - My)2 = SSy = 3.788
X and Y Combined
N = 5
∑(X - Mx)(Y - My) = 23.711
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 23.711 / √((151.086)(3.788)) = 0.9911
So r= 0.9911 or 99.11%
A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?
Answer:
60 degrees
Step-by-step explanation:
s = r (theta)
(theta) = s/r
= 1 / (3/π) = π/3
as a degree π/3 x 180/π = 60
60 degrees
*Circumference = 2πr
6 = 2πr
r = 6/2π = 3/π
what is the simplified ratio of 6:4 please explain step by step
Answer:
3:2
Step-by-step explanation:
Answer:
3:2
Step-by-step explanation:
6 and 4 can be both divided by 2
simplify
( 2 4/5 * 1 3/10) * 1 1/2
Answer:
( 2 4/5 * 1 3/10) * 1 1/2 = 5 23/50
Step-by-step explanation:
( 2 4/5 * 1 3/10) * 1 1/2 = 14/5 x 13/10 x 3/2 = 546/100 = 5 46/100 = 5 23/50
Tysm only this one left
Answer:
x = 6
Step-by-step explanation:
3x + 4 = 22
subtract 4
3x = 18
divide by 3
x = 6
Answer:
x=6
Step-by-step explanation:
Subtract 4 from each side of the equation to get 3x=18. divide 18 by 3 to get 6, and divide 3x by 3 to get x. x=6
Josh is going to the store with $60 to buy candy. bags of candy corn cost $3 & bags of chocolate cost $5 he needs to buy at least 20 bags of candy.
What do I put for the blank space? 3x+5y_60
Answer:
3a+5b
Step-by-step explanation:
Variable 1: a = candy corn
Variable 2: b = chocolate
Inequality 1: 60 ≥ 3a + 5b
Inequality 2: 20 ≤ 3a + 5b
The inequalities are as such because Josh needs to spend no greater than $60. He must also buy at least 20 bags of candy. The candy corn costs $3, while the chocolate costs $5. An expression for the total cost of the candy would be 3a + 5b.
A plumber charges $75 for the service call and $25 per hour (h) for repairs. Write an algebraic expression to represent the total bill for all plumbing services.
A.
(75 + 25)h
B.
75 + 25h
C.
75h + 25
D.
75 + 25 + h
Answer:B i think if wrong im so sorry
Step-by-step explanation:
Answer:
B 75+25h
Step-by-step explanation:
$75 is the first charge for the service and is constant. $25(per hour) is not constant and changes as the time (hours) changes. That's why it has a h next to it, the h is the variable to hold the place for the hours that would be multiplied in the problem.
A rectangular prism has a width of 5cm, a height of 8 cm and a depth of 10cm. What is the volume of the prism
Answer:
400
Step-by-step explanation:
5 x 8 x 10 = 40 x 10 = 400
Answer:
400
Step-by-step explanation:
please help there is a picture below
Answer:
4 glasses, point is (32,4)
Step-by-step explanation:
Really tired but if you want an explanation, do tell me.
If mpho is the 50th fastest and slowest runner in her school,how many students are there in her school
Answer:
Step-by-step explanation:
i need points lol
There are 99 students in her school.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
mpho is the 50th fastest and slowest runner in her school.
Now,
Since, mpho is the 50th fastest and slowest runner in her school.
Hence, Total number of students = (50 + 50) - 1
= 100 - 1
= 99
Thus, There are 99 students in her school.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
i need help :( this problem is very confusing
Answer:
Emily , don't put your whole name in the questions :DDDD, it's at the top of the page, anyway, Eloper .. :DDD
Step-by-step explanation:
It's arithmetic b/c you're just adding 1
arithmetic
1
1
are the answers , the last one is b/c that's the common difference.
Write an equation of the line that passes through the given point and is perpendicular to the given line. 1 (-6, -4); y = 3x + 1
Answer:
y= -1/3x - 6
Explain:
For the slope, you find the opposite reciprocal of the given slope. Then you plug in the given coordinates into the point-slope formula: y - y = m ( x - x ). So the expression would be y - (-4) = -1/3 ( x - (-6)). So the answer would be y = -1/3x - 6.
A local taxi company charges a base fare of $3.20. The taxi company charges $0.40 for every minute the taxi is in service. If a passenger has $20, how many minutes can he travel in the taxi?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 42 minutes
Explanation:
0.40x + 3.20 = 20
0.40x = 16.8
x = 42 minutes
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Jeff drew a circle inside a square, as shown below.
Which method can Jeff use to find the area of the
square not covered by the circle?
Answer:
3.14
Step-by-step explanation:
Answer:
Ok, I didn't find the graph but jeff can use the diameter of the circle as the diamation of the square
If the radius is (r) so the area is
A = d * d
Heather needs to memorize words on a vocabulary list for Korean class. She has memorized 9 of the words, which is one-third of the list. How many words are
on the list?
words
HELP ME ASAP!!!!!!!!!
Please help
See picture attached.
WINNER GETS THANKS, A STAR RATING-EXCELLENT AND BRAINLIEST!!!!!!!!!! Good Luck!
Happy Easter!
apokibunnyavatar
Answer:
23,26,29,32,35,38,41,44
Step-by-step explanation:
In mathematics, WHOLE NUMBERS are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on. Whole numbers are the real numbers which includes zero and all the positive integers. Whole numbers don't include negative numbers, fractions, or decimals.
f(x)= x^2 - 7x +12
The above equation is in standard form. Write the above equation in factored form
f(x) = (x-r1)(x-r2)
r1 represents first root, r2 represetnts second root
What are the roots?
Remember, x-r1 = 0 and x-r2=0
Answer:
f(x) = (x - 3)(x - 4)
Step-by-step explanation:
f(x)= x^2 - 7x +12 factors immediately into f(x) = (x - 3)(x - 4).
The roots are {3, 4}
If x=7 and y=−3, evaluate the following expression:3x−y2
Answer:
27
Step-by-step explanation:
3x−y2= ? if x= 7 & y= -3
Step 1 insert the numbers where they go:
3(7)-(-3)2=
Step 2 the two negatives become a positive:
3(7)+(3)2=
Step 3 multiply:
21+6=
Step 4 add:
27
Write 95300 standard form
Answer:
9.53 x 10^4
Hope this helps.(~ ̄▽ ̄)~
Please mark as Brainiest.
THANKS. \^o^/
What is the slope of the line?
Answer:
1/3
Step-by-step explanation:
Slope formula: y2 - y1/x2 - x1
50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.
I know from the answer key that the answers are x=
[tex]3 \sqrt{10} [/tex]
and y=
[tex]2 \sqrt{10} [/tex]
but I'm not sure how to get there...
Step-by-step explanation:
9 + y^2 = 49
y^2 = 40
y = √40 = 2√10
4.5/3 = 2√10/5x
22.5x = (3) 2√10
22.5x = 6√10
x = 6√10/22.5 = 3√10/11.5
What is the angle of 1,2,3, and 4?
Answer:
1=72
2=36
3=36
4=54
HELPPP PLEASE I NEED AN ANSWER
Answer:
C
Step-by-step explanation:
Write the expression using a positive exponent. Leave in fraction form and do not expand numbers, leave in exponential form.
For example, 2^-7 write as 1/2^7, do NOT write as 1/128 or 0.0078125. NO SPACES!
4w^-1
Answer:
Step-by-step explanation:
4w⁻¹ = 4/w¹ = 4/w
Help please
Help please
Help please
Help please
Given:
The four table of values.
To find:
The table whose linear function has slope 2.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two points from each table and find the slope for each table.
For table 1, the two points are (2,1) and (6,-1). So, the slope of the linear function is:
[tex]m=\dfrac{-1-1}{6-2}[/tex]
[tex]m=\dfrac{-2}{4}[/tex]
[tex]m=\dfrac{-1}{2}[/tex]
For table 2, the two points are (0,8) and (2,4). So, the slope of the linear function is:
[tex]m=\dfrac{4-8}{2-0}[/tex]
[tex]m=\dfrac{-4}{2}[/tex]
[tex]m=2[/tex]
For table 3, the two points are (-4,4) and (-2,5). So, the slope of the linear function is:
[tex]m=\dfrac{5-4}{-2-(-4)}[/tex]
[tex]m=\dfrac{1}{-2+4}[/tex]
[tex]m=\dfrac{1}{2}[/tex]
For table 4, the two points are (-2,0) and (0,4). So, the slope of the linear function is:
[tex]m=\dfrac{4-0}{0-(-2)}[/tex]
[tex]m=\dfrac{4}{2}[/tex]
[tex]m=2[/tex]
Table 4 is the only table that represents a linear function whose slope is 2.
Therefore, the correct option is 4, Table 4.
The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is more than $120
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-x^2+73x-520
y=−x
2
+73x−520
Answer:
36.5
Step-by-step explanation:
y= -x²+73x-520
which can be represented as ax²+bx+c
a= -1, b= 73, c = -520
for maximum value of y,
the formula is
c - (b² / 4a)
= -520 - (73² / 4×(-1))
= -520 - (5329 / -4)
= -520 + 1332.25
= 812.25
Solving for x,
812.25 = -x²+73x-520
or, x²-73x+ 1332.25 = 0
Solving,
x= 36.5
HELP PLEASE ASAP i need the help right answers only!
Answer:
8
Step-by-step explanation:
good luck. hope this helps.