Step-by-step explanation:
Let people behind you=x
People ahead of you will be x+2
Total number of people in the line(including you) = x+(x+2)+1 = 2x+3
Also, 2x+3=3x
So x=3
People ahead = x+2 = 5
People behind = x = 3
Find the midpoint M of the line segment joining the points P = (-5, 7) and Q = (1, -3)
T Stands For Tether
If Cos T = 0.6 And Sin T = 0.8, Find Tan T
Answer:
tan T = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
using the identity
tan T = [tex]\frac{sinT}{cosT}[/tex] = [tex]\frac{0.8}{0.6}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]
A cylinder has a height of 10 feet and a diameter of 14 feet. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
cylinder volume = base area x height
= pi x r² x h
≈ 3,14 x 7² x 10 ≈ 1500
MEKS is a rectangle. Find mEKM if mEMK =30
want money. answer this.
Which expression is equivalent to -4.6 + (-0.4) + (-7.2)?
A. – 4.6 - (0.4 + 7.2)
B. (4.6 + 0.4 + 7.2)
C. – (4.6 – 0.4) + ( -7.2)
D. (4.6 + 0.4) + (-7.2)
Please help!!!
what is the slope of the function represented by the table of values below
Answer:
the table of values?
Step-by-step explanation:
Make d the subject of the formula h = d/3 + 2
How do I find the dimension of this cylinder
Answer:
10 in
Step-by-step explanation:
Volume of a Cylinder :
V = pi r² h
h = V / pi r²
h = 10,000pi / pi 32²
simplify pi
h = 10,000/1024 = 9.76
h = approx 10 in
Help! I would like a walkthrough of how to do this problem, as i cant figure out how to. Thanks!
Answer:
a = 4.5b = 7.5Step-by-step explanation:
You want the lengths of sides marked 'a' and 'b' in the given right triangle figure.
Similar trianglesAll of the triangles in the figure are similar to each other. This gives rise to some proportional relations that are useful for solving this problem.
short side/long side = 6/8 = a/6
8a = 36 . . . . . . cross multiply
a = 36/8 = 4.5
long side/hypotenuse = 8/10 = 6/b
8b = 60 . . . . . . . cross multiply
b = 60/8 = 7.5
The lengths 'a' and 'b' are 4.5 and 7.5, respectively.
__
Additional comment
These are sometimes given as "geometric mean" relationships:
6 = √(8·a)
b = √(a·(a+8))
10 = √(8·(8+a))
where √(pq) is the geometric mean of p and q.
Another way to solve this is to recognize the given triangle is a 3-4-5 right triangle. The other similar triangles will have these same ratios:
3 : 4 : 5 = a : 6 : b ⇒ a = 3(6/4) = 4.5, b = 5(6/4) = 7.5
<95141404393>
9(h + 3) + 18 = 108
Can I please have the answer with the work?
Thanks a bunch!
Solve the system of equations. 4y + 11x – 67 = 0 2y + 5x - 19 = 0 x= y=
Answer:
x = 29, y = -63
Step-by-step explanation:
Solve the following system:
{4 y + 11 x - 67 = 0 | (equation 1)
{2 y + 5 x - 19 = 0 | (equation 2)
Express the system in standard form:
{11 x + 4 y = 67 | (equation 1)
v5 x + 2 y = 19 | (equation 2)
Subtract 5/11 × (equation 1) from equation 2:
{11 x + 4 y = 67 | (equation 1)
{0 x+(2 y)/11 = -126/11 | (equation 2)
Multiply equation 2 by 11/2:
{11 x + 4 y = 67 | (equation 1)
{0 x+y = -63 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{11 x+0 y = 319 | (equation 1)
{0 x+y = -63 | (equation 2)
Divide equation 1 by 11:
{x+0 y = 29 | (equation 1)
{0 x+y = -63 | (equation 2)
Collect results:
Answer: {x = 29, y = -63
Answer:
[tex]y=\frac{136}{9},\:x=\frac{7}{9}[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}4y+11x-67=2\\ y+5x-19=0\end{bmatrix}[/tex]
Isolate y for 4y+11x-67=2:
[tex]y=\frac{-11x+69}{4}[/tex]
[tex]\mathrm{Substitute\:}y=\frac{-11x+69}{4}[/tex]
[tex]\begin{bmatrix}\frac{-11x+69}{4}+5x-19=0\end{bmatrix}[/tex]
[tex]Simplify[/tex]
[tex]\begin{bmatrix}\frac{9x+69}{4}-19=0\end{bmatrix}[/tex]
Isolate x for [tex]\frac{9x+69}{4}-19=0:[/tex]
[tex]x=\frac{7}{9}[/tex]
[tex]\mathrm{For\:}y=\frac{-11x+69}{4}[/tex]
[tex]\mathrm{Substitute\:}x=\frac{7}{9}[/tex]
[tex]y=\frac{-11\cdot \frac{7}{9}+69}{4}[/tex]
[tex]\frac{-11\cdot \frac{7}{9}+69}{4}=\frac{139}{9}[/tex]
[tex]y=\frac{136}{9}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]y=\frac{136}{9},\:x=\frac{7}{9}[/tex]
Pls answer i will mark u brainlist
find the LCM of 3 and 12
Answer:
12
Step-by-step explanation:
please help will give brainly
Answer:
Angle A: 52.5
Angle B: 68.9
Angle C: 58.6
Step-by-step explanation:
Brainliest?
:)
Write an equation to represent each problem. Do not solve.
1. The sum of fifteen and six times a number t is eighty-one. What is the number?
Answer:
(15 + 6) · t = 81
- Jimmy is 440 miles from home, but he is driving back at a speed of 60 mph. Which equation
represents this scenario where d represents the distance from home and t represents the time in
hours?
440d=60t it would take jimmy 7.33 hours to get home if he drove at a constant rate of 60 Miles Per Hour
What is the surface area of this right prism? Enter your answer in the box. m² Right triangular prism.
Hey there!
How to calculate Surface area
Step 1: Find the area of the top and the base triangles using the formula, Area of the two base triangles = 2 × (1/2 × base of the triangle × height of the triangle) which simplifies to 'base × height' (bh).
Step 2: Find the product of the length of the prism and the perimeter of the base triangle which will give the lateral surface area = (S1 + S2 + h) × l.
Step 3: Add all the areas together to get the total surface area of a right triangular prism in square units. This means, total surface area of a right triangular prism = (S1 + S2 + h) × l + bh
⇒ SA = (12 + 15 + 9) × 6 + (12)(9)
⇒ SA = (36)(6)+(108)
⇒ SA = 324 square units
Thus, the surface area of the right triangular prism is 324 square units.
caffeine takes a certain amount of time to leave your system. if you drink 3 cups of coffee in the morning, the function that represents the amount of caffeine remaining in your body after drinking the coffee is given by g(t)=130(.8246)t where t is time in hours
A. How much caffeine remains in your system after day 1
B. How much caffeine remains in your system after 2 days?
Given:
The function g(t) represents the amount of caffeine remaining in your body after drinking the coffee.
[tex]g(t)=130(.8246)^t[/tex]
where t is time in hours.
To find:
The caffeine remains in your system after day 1.
The caffeine remains in your system after day 2.
Solution:
We know that,
1 day = 24 hours.
2 day = 48 hours.
The given function is
[tex]g(t)=130(.8246)^t[/tex]
Substitute t=24 in the given function to find the remaining caffeine in the system after day 1.
[tex]g(24)=130(.8246)^{24}[/tex]
[tex]g(24)=130(0.00977)[/tex]
[tex]g(24)=1.2701[/tex]
Therefore, the remains caffeine in your system after day 1 is about 1.2701.
Substitute t=48 in the given function to find the remaining caffeine in the system after day 1.
[tex]g(48)=130(.8246)^{48}[/tex]
[tex]g(48)=130(0.000095)[/tex]
[tex]g(48)=0.01235[/tex]
[tex]g(48)\approx 0.0124[/tex]
Therefore, the remains caffeine in your system after day 1 is about 0.0124.
Answer: for one day, it’s 0.0124
Step-by-step explanation:1d=24h
g(24)
HELP HELP HELP HELP HELP HELP HELP
Answer:
40
Step-by-step explanation:
4 right angled triangles
Help me with this question plzzzz ignore it being marked
Answer:
d
Step-by-step explanation:
Can someone help me with this question
Answer:
∠ CDE = 134°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 6 , then
sum = 180° × 4 = 720°
let ∠ BCD = x then ∠ CDE = 2x
sum the angles and equate to 720
121 + 144 + 129 + 125 + x + 2x = 720 , that is
519 + 3x = 720 ( subtract 519 from both sides )
3x = 201 ( divide both sides by 3 )
x = 67
Then
∠ CDE = 2x = 2 × 67 = 134°
HELP PLEASE HELP HELP PLESAE HELP!
Answer:
15
Step-by-step explanation:
6 - x - x = 16 what’s the answer please
Answer:
Answer is -5!
Step-by-step explanation:
Answer: x = -5
Explanation:
6-x-x=16
6-2x=16
6-6-2x=16-6
-2x=10
-2x/-2=10/-2
x = -5
Brooke plays volleyball and also plays the trumpet in the middle school band. Brooke spends two (2) hours after school participating in volleyball activities. At home, Brooke practices playing her trumpet for 1/8 of the time that spends on volleyball activities at school. How long does she practice the trumpet?
Answer:
15 minutes
Step-by-step explanation:
2 hours equals 120 minutes.
so if you divide 120 by 1/8 you get 15
which would be the amount of time she spent playing the trumpet.
Hope this helps!! :)
Rectangle LMNO was translated 4 units down and 5 units left. After the translation, N’ was at (-6, 5). What was the original
x-coordinate of N?
Answer:
(-2, 10)
Step-by-step explanation:
All you have to do is add 4 to -6 and add 5 to 5. Since it was moved 4 units down and 5 units left, that means that those numbers were subtracted from the original coordinates. Although you are trying to find the original points, so instead you add 4 and 5 to the coordinates you have right now.
I hope that makes sense!
please help will give brainliest!
Answer:
The answer i as c
Step-by-step explanation:
¼(5x + 16/3) - ⅔(¾x + ½) = -5
solve for x. this be some seriously big brain stuff. i'm just a child :(
Answer:
x = −8
Step-by-step explanation:
please help me I don´t get it?
Answer:
∠1 = 137
∠2 = 43
∠3 = 137
Step-by-step explanation:
∠2 and 43 are alternate interior angles.
Alternate interior angles are equal.
So,
∠2 = 43.
∠1 and ∠3 are also alternate interior angles,
So,
∠1 = ∠3
∠1 and 42 are linear pair angles.
Sum of linear pair angles is 180,
∠1 + 42 = 180
∠1 = 180 - 43
∠1 = 137
Since,
∠1 = ∠3
So,
∠3 = 137
Hence,
∠1 = 137
∠2 = 43
∠3 = 137
Note : -
Alternate interior angles and linear pair angles are properties of angles.
And are applicable when two lines intersect or more than two lines interest.
The GCF of two whole numbers is 9 and the LCM of the
same two numbers is 135. What could the two numbers be? Prove it.
Answer:
9 and 135
Step-by-step explanation:
The GCF is 9, and 135 is divisble by 9. The GCF of a standalone number is itself, and the aforementioned divisibility of 135 by 9 rules 9 as one of the numbers. Since 9 is a multiple of 135, and 9 can multiply to be 135, this makes the second number 135.