Answer:
x = 49.1 degrees
Step-by-step explanation:
From the right angle given,
Opposite side = 15
Adjacent side = 13
Angle = x
Using the SOH CAH TOA identity
tan x = opposite/adj
tan x = 15/13
x = arctan(15/13)
x = arctan 1.1538
x = 49.1 degrees (to the nearest tenth)
9
What is the slope of the line whose equation is 2x – 4y = 9?
a) 1
2
c) 2
d) 3
solotion
Answer:
m = 1/2
Step-by-step explanation:
The given equation of line is :
2x – 4y = 9 ..(1)
We need to find the slope of the line. The general equation of a line is given by :
y = mx + c ..(2)
Where
m is the slope of line
Equation (1) can be rearranged as follow :
-4y = 9-2x
4y = -9+2x
or
4y = 2x-9
Divide both sides by 4.
[tex]\dfrac{4y}{4} = \dfrac{2x}{4}-\dfrac{9}{4}\\\\y=\dfrac{1}{2}x+(\dfrac{-9}{4})[/tex] ..(3)
Now comparing equation (2) and (3) we get :
[tex]m=\dfrac{1}{2}[/tex]
So, the slope of the line is 1/2.
▀▄▀▄What is the LCM and GCF of 25 and 75? ▄▀▄▀
Answer:
LCM = 75
GCF = 25
Step-by-step explanation:
25 = 5 x 5
75 = 3 x 5 x 5
LCM = 3 x 5 x 5 = 75
GCF = 5 x 5 = 25
Hope that helps!
Answer: The LCM of 25 & 75 is 75, and the GCF of them is 25
Step-by-step explanation: hope it helps :)
Equivalent fractions 1/3
Answer:
2/6; 3/9
Step-by-step explanation:
Multiply both the numerator and the denominator by the exact same number to find equivalent fractions
For example, I will randomly choose to multiply both by 2
Example 1:
1 × 2 / 3 × 2
2/6
Now, I'll do 3
Example 2:
1 × 3 / 3 × 3
3/9
You can check your work by dividing both the numerator and the denominator by the original fraction (1/3) to see if you get the number 1
Example 1:
2/6 ÷ 1/3
Copy dot flip
2/6 × 3/1
2 × 3 / 6 × 1
6/6
1
Example 2:
3/9 ÷ 1/3
Copy dot flip
3/9 × 3/1
3 × 3 / 9 × 1
9/9
1
-.25 x+1.3=-.55x-.2 find x
Find x,y and 2. (leave answer in simplest radical form) *
Answer:
x = 32
y = 16sqrt(5)
z = 8sqrt(5)
Step-by-step explanation:
x/16 = 16/8
x/16 = 2
x = 32
y^2 = 16^2 + 32^2
y^2 = 1280
y = 16sqrt(5)
z^2 = 8^2 + 16^2
z^2 = 320
z = 8sqrt(5)
Which of the following are prime polynomials? z-1 4z+20 6z-42 -7z+26
Answer:
mmmmmmmmmmmmmm
Step-by-step explanation:
Answer:
110z-16
Step-by-step explanation:
z-(1)(4)z + (20)(6)z -42 -7z + 26
=z + -4z + 120z + -42 + -7z + 26
=z + -4z + 120z + -42 + -7z +26
=(z+-4z+ 120 + -7z) + (-42 +26
19. Elein and Naya wanted to meet between their
houses at midpoint (4,1). If Elien's house is at point
A. (7,-1.5)
(10,-4).
B. (-2,6)
Find the coordinates of Naya's house.
C. (0,0)
Answer:
[tex](-2,6)[/tex]
Step-by-step explanation:
Given
[tex]Elena = (10,-4)[/tex]
[tex]Midpoint = (4,1)[/tex]
Required
Determine the coordinates of Naya's
Midpoint is calculated as:
[tex]M(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]
In this case:
[tex](x_1,y_1) = (10,-4)[/tex]
[tex](x,y) = (4,1)[/tex]
So, we have:
[tex](4,1) = \frac{1}{2}(10+x_2,-4+y_2)[/tex]
Multiply through by 2
[tex]2 * (4,1) = \frac{1}{2}(10+x_2,-4+y_2) * 2[/tex]
[tex](8,2) = (10+x_2,-4+y_2)[/tex]
By comparison:
[tex]8 = 10 + x_2[/tex]
[tex]2 = -4 + y_2[/tex]
So:
[tex]8 = 10 + x_2[/tex]
[tex]x_2 = 8 - 10[/tex]
[tex]x_2 = -2[/tex]
[tex]2 = -4 + y_2[/tex]
[tex]y_2 =2+4[/tex]
[tex]y_2 =6[/tex]
So, the coordinate is: [tex](-2,6)[/tex]
Bryce plays in 3 football games this month. He drinks 5 bottles of
water during each game. How many bottles of water does Bryce
drink this month?
Answer:
Its 15 because 3 times 5 = 15.
Step-by-step explanation:
Please show an explanation
Answer:
Step-by-step explanation:
1) Let x be the number of adults and y be the number of students
x + y = 8 --------------(I)
y = 8 -x
7.25x + 5.50y = 52.75 ----------------(II)
Substitute y = 8 -x in equation (II)
7.25x + 5.5*(8 - x) = 52.75
7.25x + 5.5*8 - x*5.5 = 52.75
7.25x + 44 - 5.5x = 52.75
7.25x - 5.5x + 44 = 52.75
1.75x + 44 = 52.75
1.75x = 52.75 - 44
1.75x = 8.75
x = 8.75/1.75
x = 5
Plugin x = 5 in equation 1
y = 8 - 5
y = 3
2) x = y + 24
x + y = 180 {Supplementary}
y + 24 + y = 180
2y + 24 = 180
2y = 180 - 24
2y = 156
y = 156/2
y = 78
x = 78 + 24 = 102
If I have an 86% overall grade in a class and score 40% on a test, what will my grade come out as?
Answer:
It really depends on how much percent of your overall grade tests count as. But, usually they count for about 60% of your grade (depending on what grade you are in). You have about 65% at the lowest and a 75% at the highest. But, I'm just going by what my school does, I don't know how your school grades tests.
Step-by-step explanation:
Enter an expression for the perimeter of the given figure. Simplify the expression.
10.2 in.x + 2 in.x + 2 in.x + 2 in.x + 2 in.10.2 in.
The perimeter of the figure is inches.
Answer:
4x + 28.4 in.
Step-by-step explanation:
perimeter = sum of lengths of sides
perimeter = x + 2 + x + 2 + x + 2 + x + 2 + 10.2 + 10.2
perimeter = 4x + 28.4
WILL MARK BRAINLIEST FOR BOTH QUESTIONS AND DOUBLE POINTS INLY HAVE 6 MINUTES
Answer:
Where is the table for the first question?
Step-by-step explanation:
f I double the amount of water in the cup, I'll also double the pH of the water in the cup.
Answer:
No
Step-by-step explanation:
pH won't increase by adding the same liquid
(unless you add a different water with a different pH)
Find the length of side a.
10
4
6
A. 64
B. 4
C. 8
D. 1136
Answer:
I'm gonna assume C. if you compare it to 10 it's a little smaller And compare it to six its bigger! Hope this helps! And have a good day
Explain how to graph x=5
Answer:
Where is 5 on the X axis? Theres your answer!
Step-by-step explanation:
Plz give crown, hearts, and stars. Comment if i did good. Have a great week! Your welcome and thx!
Answer:
look at the horizontal line and find 5, mark it, that is x=5
can some one please write the answers on the pdf
PLATO: Multiplying and Dividing Radical Equations: Mastery Test
Select the correct answer.
Assuming that no denominator equals zero, which expression is equivalent to (n^2-7n+12)/(n-3)(n+4)
Answer:
D
Step-by-step explanation:
took the test
The expression is equivalent to (n² - 7n + 12) is (n-4)/ (n+4).
The correct option is D.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
We have,
(n² - 7n + 12) / (n-3)(n+4)
So, Factorizing (n² - 7n + 12)
= (n² -3n - 4n +12)
= n(n-3)- 4(n-3)
= (n-3)(n-4)
Then, (n² - 7n + 12) / (n-3)(n+4)
= (n-3)(n-4)/ (n-3)(n+4)
= (n-4)/ (n+4)
Learn more about Expression here:
https://brainly.com/question/14083225
#SPJ7
a school teacher can grade 3 tests in 18 minutes. If class starts in 3 hours and there are 27 tests to grade, will they be done in time?
Answer:
yes.
honestly, I didn't really do all the math.
3 in 18 minutes, a little better than 3 in 20 minutes. that translates to 9 in an hour, with 6 minutes left over.
3 hours of that (3×9) is the 27. with 6 minutes per hour left over, for a total of 18 minutes.
the teacher has time to grade the tests, get a cup of coffee, and take a few minutes to wonder why she didn't go into an easier line if work.
Find the commission.
Sales: $530 Commission Rate: 8% Commissions: ?
Answer:
42.40
Step-by-step explanation:
Which shows the integers in order from greatest to least? A 22, -11, 8, 7,2 B 2,7,8, -11,22 C -11, 2, 7, 8, 22 D 22, 8, 7, 2, -11
Subtract. Your answer should be a polynomial in standard form. a (4r ^ 2 - 3r + 2) - (- r ^ 2 - 3r) =
Answer:5r2+2
Step-by-step explanation:
Distribute the Negative Sign:
=4r2−3r+2+−1(−r2−3r)
=4r2+−3r+2+−1(−r2)+−1(−3r)
=4r2+−3r+2+r2+3r
Combine Like Terms:
=4r2+−3r+2+r2+3r
=(4r2+r2)+(−3r+3r)+(2)
=5r2+2
1/2 x 1/5 .............
Answer:
1/10 is the answer
Step-by-step explanation:
1/2x 1/5= 1/10
Answer: 1/10
1/2⋅1/5=1/10
Solution
1/10
CLICK ON THE PICTURE FOR THE QUESTION,, please help
Answer:
Step-by-step explanation:
A(-10,-3), B(7,14)
slope of AB = (-3-14)/(-10-7) = 1
slope of perpendicular to AB = -1
equation of perpendicular through C(5,12):
y-12 = -(x-5)
y-12 = -x+5
x = -y+17
x-intercept is the value of x when y=0.
x-intercept = 17
(0,17) is a point on CD.
Write a function rule for the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x. Type the correct answer in the box.
Answer:
f(x) = 72-12x
Step-by-step explanation:
this might be too late but it could be useful for future people
Answer:
f(x) = 72-12x
took a while to solve.......
How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Please help me with this
Answer:
90,45,45
Step-by-step explanation:
it a system of equations
say that x y and z are each angles of the triangle
that means that they add up to 180 so x+y+z=180
the question says that two of the angles in the triangle are equal so we can just say that x=y
and it says that the two angles that are the same length have a sum that is equal to the third side of the triangle which basically is x+y=z
x+y+z=180
x+y=z
x=y
we start with the first two equations:
since x+y=z then we can substitute z in for x+y in the first equation
z+z=180
2z=180
z=90
and since x=y then
x+x=z
2x=90
x=45
y=45
z=90
hope that helps :)
Please mark brainliest
Polygon A is a reflection of polygon B about the line y = x. Which of the following must be true?. A. If polygon A is in quadrant II, then polygon B must be in quadrant II B. Polygon A must be congruent to polygon B C. Polygon A is also a rotation of polygon B about a point D. Polygon A is not congruent to polygon B
0.45x10=
yuhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
i think it is 4.5
i hope it helps
Answer:
4.5
Hope I helped
Given rhe functions k(x) = 5x - 8 and p(x) = x - 4, solve k[p(x)] and select the correct answer below.
A. k[p(x)] = 5x - 12
B. k[p(x)] = 5x - 28
C. k[p(x)] = 5x² - 12
D. k[p(x)] = 5x² - 28
Answer:
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I took the quiz
What conclusion can you draw about the conditional relative frequency of the results? There is no association between supporting the tax and gender. A resident in the group who supports the tax is likely to be female. A resident in the group who supports the tax is likely to be male.
Answer:
C or A resident in the group who supports the tax is likely to be male
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
Edg 2021