Answer:
23°
Step-by-step explanation:
Using trigonometry and the Soh Cah Toa method you can find this. Because you are looking for an angle you have to use the inverse and because it is adjacent and hypotenuse you use cosine. So take cos*-1( 35/38) because 35 is the adjacent and 38 is the hypotenuse.
Find three consecutive integers such
that the sum of the first and the
second integer is three more than the
third integer.
9514 1404 393
Answer:
4, 5, 6
Step-by-step explanation:
Let x represent the middle one. Then the sum of the first two is ...
(x -1) +x
And we want that to be 3 more than the third:
(x -1) +x = (x +1) +3
2x = x +5 . . . . . . . . . add 1, simplify
x = 5 . . . . . . . . . . . . . subtract x
Since 5 is the middle integer, the three integers are ...
4, 5, 6
The figures are similar. Find the missing length.
p=m+x² (make x the subject)
Answer:
See below
Step-by-step explanation:
[tex]p = m + {x}^{2} \\ \\ p - m = {x}^{2} \\ \\ {x}^{2} = p - m \\ \\ x = \pm \sqrt{p - m} \\ [/tex]
Which statement describes the graphs of y = −x + 3 and y = −x + 6?
A. They intersect at point (3, 6).
B. They are parallel.
C. They are perpendicular.
D. They intersect at point (6, 3).
its d i did this before its easy
The statement which describes the graphs of y = −x + 3 and y = −x + 6 is; Choice B: They are parallel.
By comparison with the slope-intercept form of a linear equation;
y = mx + cWhere, m = slope and c = y-intercept.
We can conclude that, the slope, m of both equations given is, -1.
And from straight line geometry; We recall that;
Parallel lines have equal slope.Read more on parallel line slopes:
https://brainly.com/question/10790818
Solve: 32 = y + 12.4 y = _____ & explain
Answer:
y=19.6
Step-by-step explanation:
Answer:
to get y you subtract 12.4 from both side and that is your answer.
Step-by-step explanation:
19.6 hope it correct mark brainliest if so thank u have an nice day
A cylindrical syringe has a height of 6.8 cm and a diameter of 2.37 cm is going to be
used to fill a half sphere (semi sphere) with a circumference of 31.4 cm. How many
syringes filled with water would be needed to fill the semi-sphere?
6.8 cm
Answer:
The number of syringe filled with water that would be needed to fill the semi-sphere is approximately 8.714 syringes
Step-by-step explanation:
The height of the syringe = 6.8 cm
The diameter of the syringe = 2.37 cm
The circumference of the hemisphere = 31.4 cm
Let r represent the radius of the hemisphere, we have;
2·π·r = 31.4 cm
r = 31.4/(2 × π) ≈ 4.9975 cm
The volume of the hemisphere = 2/3 × π × r³ = 2/3 × π × (31.4/(2 × π))³ ≈ 261.4 cm³
The volume of the syringe = π × d²/4 × h = π × 2.37²/4 × 6.8 ≈ 29.998 cm³
The number of syringe filled with water that would be needed to fill the semi-sphere = (The volume of the hemisphere)/(The volume of the syringe)
Therefore;
The number of syringe filled with water that would be needed to fill the semi-sphere = 261.4 cm³/(29.998 cm³) ≈ 8.714 syringes.
Someone please help me with this
Solve each equation. a. ( − 6)( x+ 5) = 0
Answer:
x = -5
Step-by-step explanation:
divide both side by -6 (-6/6) (5/-6)
x + 5 = 0
move constant to the right side and change it sign
x = -5
if m< 3=74 find each measure
Answer:
for you
Step-by-step explanation:
Factor the polynomial function p(x) = x3 – 2x2 - 4x2 + 8x.
Answer: p=x2−6x+8
Step-by-step explanation:
hope this answer helps
Answer: x(x-4)(x-2)
Step-by-step explanation:
Solve the right triangle shown in the figure. (Round your answers to two decimal places.)
Answer:
Step-by-step explanation:
sin A = [tex]\frac{a}{c}[/tex]
sin 9.4° = [tex]\frac{20.5}{c}[/tex] ⇒ c = (20.5) / (sin 9.4°) ≈ 125.52
tan A = [tex]\frac{a}{b}[/tex]
tan 9.4° = [tex]\frac{20.5}{b}[/tex] ⇒ b = (20.5) / (tan9.4°) ≈ 123.83
m∠B = 90° - 9.4° = 80.6°
m∠C = 90°
8. Dai is comparing how many trading cards he has with his friend Maura. Initially, they find that Dai has four
more cards than twice the number that Maura has.
(a) If the number of cards Maura initially has is represented by n, then write an expression for the number of
cards that Dai initially has.
(b) If Dai must give Maura 8 cards so that they have the same amount, set up and solve an equation to
determine the number of cards Maura initially had.
Answer:
2n + 4
n = 12
Step-by-step explanation:
Given that :
Initial :
Dai has four more cards than twice the number that Maura has.
Maura's initial card = n
Dai's initial card = 2n + 4
B.)
If Dai must give Maura 8 cards, so they have equal amount
Dai's initial card - 8 = Maura's initial card + 8
2n + 4 - 8 = n + 8
2n - 4 = n + 8
2n - n = 8 + 4
n = 12
Find an equation for the line below.
Answer:
y = 1/3x - 3/4
Step-by-step explanation:
Create a slope triangle or just count the amount of squares between each highlighted point. And then see where the line intersects on the y-axis.
what is..
y=4/3x-2 and y=-2/3x-8
HELP ASAP!!!
Which of the following expressions is equal to
-5 for some value of x?
A) |x - 6| + 2
B) |x - 2|-6
C) |x+2|+6
D) |x + 6|-2
===========================================================
Explanation:
Recall that for y = a| x-h | + k, the vertex is (h,k).
Since all of the answer choices have a > 0, this means all of the vertexes are the lowest point for each absolute value graph.
Consequently it tells us the lowest possible y value.
For choice A, the smallest y output possible is y = 2For choice B, it would be y = -6For choice C, y = 6 is the lowestAnd choice D says y = -2 is the lowest y valueChoices A, C and D indicate that getting y = -5 is impossible. For instance, if y = 2 is the smallest, then there's no way to get y = -5. I recommend making a number line.
The only thing left is choice B. If we plug in y = -5 then we get...
y = |x-2| - 6
-5 = |x-2| - 6
-5+6 = |x-2|
|x-2| = 1
x-2 = 1 or x-2 = -1
x = 1+2 or x = -1+2
x = 3 or x = 1
Plugging either of those x values into y = |x-2| - 6 leads to y = -5
You could try solving something like -5 = |x-6| + 2 for x, but you'll find that it has no solutions.
As another alternative, you can graph each answer choice. Then see which one intersects the horizontal line y = -5. You should see that only y = |x-2| - 6 does so.
A table showing Number, Value, and Total Value. The first row shows Pennies, with the entries, p, 0.01, and 0.01 p. The second row shows Nickels, with the entries, 22 minus p, 0.05, and 0.05 left parenthesis 22 minus p right-parenthesis. 0.01p + 0.05(22 – p) = 0.54 Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54. How many of each type of coin does Ari have? pennies and nickels
14 pennies and 8 nickles
i hope this helps
Answer:
0.01p + 0.05(22 – p) = 0.54
someone help :( 3333333
Answer:
5 feet
mark above answer BRILLIANT
(-7)(5) =
Answer:
-35 is the correct answer
Answer:
-35
Step-by-step explanation:
The answer is -35
-7 × 5 = -35
Ms. Chibbaro asked her students to find an expression equivalent to 7 - 3(4 - 2x) - 10x Jon had the work shown to the Left on his paper. One step in Jon's wok is incorrect. Find and explain the error. Then write your own expression equivalent to the one given by Ms. Chibbaro.
Answer:
[tex]-15 + 6x[/tex]
Step-by-step explanation:
Given
[tex]Expression: 7 - 3(4 - 2x) - 10x[/tex]
Required
Determine Jon's error and make corrections.
Also, give the equivalent of the expression
The question has missing details because Jon's workings is not listed.
One mistake student's make during multiplications that involves minus (-) and plus (+) is in the signs.
So, watch out for the signs to know where the error is.
However, I'll give an equivalent of the given expression
[tex]7 - 3(4 - 2x) - 10x[/tex]
Open Bracket
[tex]7 - 12 + 6x - 10[/tex]
Collect Like Terms
[tex]7 - 12 - 10 + 6x[/tex]
[tex]-15 + 6x[/tex]
Hence, the given expression is equivalent to [tex]-15 + 6x[/tex]
Mr James has coffee worth $400/kg that he wishes to mix with 20kg of coffee worth $700/kg to get a mixture that can be sold for $500/kg. How many kg of the cheaper coffee beans should he use?
Answer:
11.3kg
Step-by-step explanation:
if 700=20
therefore 400=400*20÷700=11.3
Solve using
elimination
X- 2y = 3
3x - y = 2
Answer: x = 1/5 and y= -7/5
Step-by-step explanation: Let's solve your system by elimination.
Multiply the first equation by -3,and multiply the second equation by 1.
-3 (x - 2y = 3)
1 (3x - y = 2)
Becomes:
-3x + 6y = -9
3x -y = 2
Add these equations to eliminate x:
5y = -7
Then solve 5y = -7
5y/7 = -7/5
y = -7/5
Now that we‘ve found y, let’s plug it back in and solve for x.
Write down an original equation:
x - 2y = 3
Substitute -7/5 for y in x - 2y = 3:x - 2 (-7/5) = 3x + 14/5 = 3x 14/5 + -14/5 = 3 + -14/5 (Add (-14)/5 to both sides)x = 1/5Answer: x = 1/5 and y = -7/5Which equation represents a line which is perpendicular to the line y = 6/7x –4?
Answer:
any line with the same slope but different y intercept
Step-by-step explanation:
Answer:
7x+6y=18
Step-by-step explanation:
Evaluate each expression.
7) (-7) + (-10) – 5 +2 8) (-9) + 4 + (-8) – (-7)
8) (-6) – (2 x 4) – (-1) 10) (-8) + (-4 ÷ -4) – 8
Answer:
Please check the explanation.
Step-by-step explanation:
Solving the expressions
7)
given the expression
[tex]\left(-7\right)+\:\left(-10\right)\:-\:5\:+2[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex][tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:[/tex][tex]\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a[/tex]so
[tex]=\left(-7\right)-10-5+2[/tex]
[tex]=-17-5+2[/tex]
[tex]=-22+2[/tex]
[tex]=-20[/tex]
8)
[tex]\left(-9\right)+4+\left(-8\right)-\left(-7\right)[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex][tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:[/tex][tex]\mathrm{Apply\:rule\:}+\left(-a\right)\:=\:-a[/tex]so
[tex]=-5+\left(-8\right)-\left(-7\right)[/tex]
[tex]=-5-8-\left(-7\right)[/tex]
[tex]=-13-\left(-7\right)[/tex]
[tex]=-13+7[/tex]
[tex]=-6[/tex]
9)
[tex]\left(-6\right)\:-\:\left(2\:\times \:4\right)\:-\:\left(-1\right)\:[/tex]
[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex][tex]\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:[/tex]so
[tex]\left(-6\right)-\left(2\times \:4\right)-\left(-1\right)[/tex]
Calculate within parentheses
[tex]=\left(-6\right)-8-\left(-1\right)[/tex]
[tex]=-14-\left(-1\right)[/tex]
[tex]=-14+1[/tex]
[tex]=-13[/tex]
10)
[tex]\left(-8\right)\:+\:\left(-4\:\div \:-4\right)\:-\:8[/tex]
solving
[tex]\left(-8\right)+\left(-\frac{4}{-4}\right)-8[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a[/tex]
[tex]=-8-\frac{4}{-4}-8[/tex]
[tex]=-8-\left(-1\right)-8[/tex]
[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]
[tex]=-8+1-8[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-8+1-8=-15[/tex]
[tex]=-15[/tex]
The value of the given expression 7) (-7) + (-10) – 5 +2 is -20, 8) (-9) + 4 + (-8) – (-7) is -6, 9) (-6) – (2 x 4) – (-1) is -11, 10) (-8) + (-4 ÷ -4) – 8 is -15.
What is BODMAS rule?BODMAS stands for B- bracket, O- order, D-division, M-multiplication, A- addition, S- subtraction. We use this rule when there is more than one operation are present in the mathematical expression.
7) (-7) + (-10) – 5 +2
here, we will use the BODMAS rule, the addition and subtraction will go from left to right.
= -7 -10 -5 + 2
= -17 -5 + 2
= -22 + 2
= -20
8) (-9) + 4 + (-8) – (-7)
= -9 +4 -8 +7
= -5 -8 +7
= -13 + 7
= -6
9) (-6) – (2 x 4) – (-1)
= -6 - 8 +1
= -12 + 1
= -11
10) (-8) + (-4 ÷ -4) – 8
= -8 -4/ (-4) - 8
= -8 +1 -8
= -7 -8
= -15
Therefore, the value of the given expression 7) (-7) + (-10) – 5 +2 is -20, 8) (-9) + 4 + (-8) – (-7) is -6, 9) (-6) – (2 x 4) – (-1) is -11, 10) (-8) + (-4 ÷ -4) – 8 is -15.
Learn more about the BODMAS rule here:
https://brainly.com/question/24383445
help :((((( this is hard
Step-by-step explanation:
y - y1 = m (x - x1)
(y - y1)/m = x - x1
x - x1 = (y - y1)/m
x = (y - y1)/m + x1
therefore, answer is option C
Topic: Change of subject / coordinate geometry
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
3х + 9
Please help me
There is no answer to this problem.
please help me. my mom got mad at me cause I don't know anything in Pre Cal. (what I am in)
Write two number that multiply to the value on to and add to the value on bottom
looking for an answer ty
18 / (-3) + 4
Answer:
-2
Step-by-step explanation:
First divide 18/-3 = -6
Then add 4 to -6
Answer is -2
please help me pls and ty
At Paulson Middle School, 75% of the sixth grade class is making a B or higher. If there are
24 students in the sixth grade class, then how many are making a B or higher?
25%
Are we Looking FOR THE PART OR THE WHOLE?
Answer:
18 students are making a B or higher
Step-by-step explanation:
24 * 75% = 18
Answer:
we are looking for the part