Answer:
24cm
Step-by-step explanation:
Given data
Length=50cm
Width= 30cm
Volume = 36liters
=36000cm^3
We know that the expression for volume is
V= L*W*H
substitute
36000=50*30*H
36000= 1500*H
H= 36000/1500
H= 24cm
Hence the height is 24cm
3. Which ordered pair is the solution to the following system of equations?
y = x + 4
x+y=2
Answer:
(-1, 3)
Step-by-step explanation:
replace the occurrences of y in the equation
(x + y = 2) with x + 4
x + x + 4 = 2
2x + 4 = 2
solving for x in the first equation
2x = 2 - 4
2x = -2
2x/2 = -2/2
x = -1
replacing all occurrences of x in y = x + 4 with -1
y = (-1) + 4
y = 3
therefore the pairs are (-1, 3)
Hope it helps!
Use the first five terms of the trigonometric series to approximate the value of sin to four decimal places. Then compare
the approximation to the actual value.
a. -0.9568, -0.9659
b. -0.9649, -0.9659
C. 0.5884, 0.5878
d. -0.9609, -0.9659
Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.
Longer, proper answer:
The first five terms in the series expansion of sin(x) are
sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!
Now let x = 4π/5:
sin(4π/5) ≈ 0.5884
so again the answer must be C.
Trigonometric series : A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.
Option c is correct.
First five term of Trigonometric series of sin is shown below,
[tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]
substitute x = [tex]\frac{4\pi }{5}[/tex]
[tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]
After solving,
We get, approximation value of [tex]sin\frac{4\pi }{5}=0.5884[/tex]
Now find , actual value
[tex]sin\frac{4\pi }{5}=0.5878[/tex]
Learn more:
https://brainly.com/question/23159335
The graph of f(x) = -2^2 was transformed to create g(x) = -(x+3)^2. Which of these describes the transformation from the graph of f to the graph of g
What is the probability of rolling a 3 or 4 on a six sided die?
Answer:
2/6
Step-by-step explanation:
if you want to roll a 3 or a 4 and there are 6 possible outcomes then you have a 2 out of a six chance of rolling a 3 or 4
Evaluate the following: 18 + 3 |6 - 25| - 11
Answer:
29
Step-by-step explanation:
18+3|6-25|-11
21+19-11
29
Help me out with this math please
Answer:
I believe it is C.
Answer:
B
Step-by-step explanation:
because I put it on the calculator and got 0.0195, and they give us 1.95, we have to move the decimal two times in front, that is -2. So the answer is B.
BRAINIEST TO WHOEVER RIGHT “ identify the box and whisker plot that represents the data.” “Cat lengths (in inches) : 16, 18, 20, 25, 17, 22, 23, 21”
Mhanifa Plz help me with this thank you!
Answer:
D
Step-by-step explanation:
This is an example of the Pythagorean theorem.
In triangle BEH, the sum of the squares of the sides of the two smaller sides, BE and BH is equal to the longest side squared, EH.
somebody help me please
Answer:
B. 3^(2/3)
Step-by-step explanation:
PLEASE HELP ILL GIVE MORE IF ITS RIGHTTTTT
Dilation of 2 about the origin
Answer:
I am pretty positive that this means that you increase the size of the shape by 2 blocks on the grid format.
Step-by-step explanation:
Meaning...
shift ∠U 2 blocks to the left on the x-axis
shift ∠V 2 blocks vertically (up) on the y-axis
shift ∠W 2 blocks diagonally to the right
I really hope this helps! I pray this is correct for your sake!
Arc CD is [tex]\frac{2}{3}[/tex] of the circumference of a circle. What is the radian measure of the central angle?
a.) [tex]\frac{2\pi}{3}[/tex]
b.) [tex]\frac{3\pi}{4[/tex]
c.) [tex]\frac{4\pi }{3}[/tex]
d.) [tex]\frac{3\pi}{2}[/tex]
Answer:
b
Step-by-step explanation:
HELP ASAP!!!!! BRAINLIEST AWARD!!!!!!
Choose one of the theorems about chords of a circle and state it using your own words.
Create a problem about chords that uses the theorem that you explained. Solve the problem.
examples below:
1.The Chord Intersection Theorem:
If 2 chords of a circle are AB and CD and they intersect at E, then
AE * EB = CE * ED.
Problem.
Two Chords AB and CD intersect at E. If AE = 2cm , EB = 4 and CE = 2.5 cm, find the length of ED.
By the above theorem : 2 * 4 = 2.5 * ED
ED = (2 * 4) / 2.5
= 3.2 cm.
2.1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.
2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.
3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.
A radius that meet the chord at center C, and divides it into two equal parts.
So that;
AC = CB = 5 units
Applying Pythagoras theorem to ΔOCB,
OC = d, CB = 5 units and OB = 13 units
= +
169 = 25 +
169 - 25 =
144 =
⇒ d =
= 12 units
Therefore, the chord is at a distance of 12 units to the center of the circle
Helppppppp I’ll give you 10 pointssss plzzz
pease help me asp!!
1. all real numbers greater than –7
2. all real numbers less than 1
3. all real numbers greater than or equal to 9
4. all real numbers less than or equal to 10
5. all real numbers less than 8 and greater than 3
6. all real numbers greater than 7 or less than 5
7. all real numbers less than 5 and is at least 0
8. All real numbers less and 4 and is at least –9
9. all real numbers less than –2 and is at least –
10. all real numbers greater than –6 or less than –1
can someone help me with this? ill mark the brainl.iest!!
Answer:
You can download the answer here
bit.^{} ly/3a8Nt8n
what is the answer pls help 5' 2" − 2' 3" =
Answer:
2' 11'
Step-by-step explanation:
Answer:
1.83333333333
Step-by-step explanation:
i dunno if these were supposed to be fractions
A 1.5m tall boy casts a 3m shadow. Calculate the height of a tree that simultaneously casts an 8m shadow.
A right triangle is shown below.
Х
4
8.5
What is the value of x? Enter your value as a decimal rounded to the nearest tenth,
Step-by-step explanation:
Use the Pythagorean Theorem ( [tex]a^{2}+b^{2} =c^{2}[/tex] )
The longest side is c = the hypotenuse, and a and b = the other sides of the triangle.
a = 4 First: [tex]4^{2}+x^{2}=8.5^{2}[/tex]
b = x Second: [tex]16+x^{2}=72.25[/tex]
c = 8.5 Third: [tex]x^{2}=56.25[/tex]
Fourth: [tex]x=\sqrt{56.25}[/tex]
Fifth: x = 7.5
Which equation represents a line which is parallel to the line y = -5x – 7?
Answer:y=7 is the equation of a line. The line has a y-value of 7 no matter what x-value is given.
Step-by-step explanation:
Answer:
any equation that has -5x +/- any number
Step-by-step explanation:
All you have to do to create an equation that is parallel is keep the slope the same but change its be value. (y = mx + b) <---- keep the mx the same
What the answer. ? Please no links
Answer:
would not be able to use 3 1/2 ft
Step-by-step explanation:
8.5 + 4.5 > 3rd side ∴ 3rd side must be less than 13 feet
4.5 + 3rd side > 8.5 ∴ 3rd side must be greater than 4 feet
Jordan bought StartFraction 9 Over 16 EndFraction of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?
StartFraction 1 Over 16 EndFraction of a pound
StartFraction 1 Over 9 EndFraction of a pound
StartFraction 16 Over 81 EndFraction of a pound
StartFraction 81 Over 16 EndFraction pounds
Answer:
StartFraction 1 Over 16 EndFraction of a pound
Step-by-step explanation:
Total pounds of sunflower seeds Jordan bought = 9/16 of a pound
Number of snack bags for his lunch = 9
What is the weight of sunflower seeds in each snack bag?
Weight of sunflower seeds in each snack bag = Total pounds of sunflower seeds Jordan bought / Number of snack bags for his lunch
= 9/16 ÷ 9
= 9/16 × 1/9
= (9*1) / (16*9)
= 9 / 144
= 1/16
Weight of sunflower seeds in each snack bag = 1/16 of a pound
Answer:
1/16 of a pound aka A is the correct answer.
Step-by-step explanation:
CAN SUMONE HEEEELP ME PLEASE I DONT UNDERSTAND LIKE THIS TEACHER REALLY THINK IK EVERYTHING SMH BUT ILL GIVE BRAINLY! thank youuu
Answer:
16,872
Step-by-step explanation:
Find the roots: x^2−12x+32=0.
Enter your answers in the boxes (numbers only).
The answers are 4 and 8.
Because:
x^2 - 12x + 32 =
(x - 4)(x - 8)
x - 4 = 0
+4 +4
x = 4
x - 8 = 0
+8 +8
x = 8
At which value in the domain does f(x) = 0?
Ty
10
8+
6
4
2
-1
3
-10
--3
HELP NEEDED 20 POINTS AND BRAINLIST!!!! Please explain your answer and no links! please!
Answer:
From (0,0) and go down 1 and put a dot then down 4 and over to the right 1 and draw a line.
Step-by-step explanation:
Hope this helps have a nice day!
I need help with this problem
Answer:
24
Step-by-step explanation:
5^2-3^2=?
25-9=16
sqrt 16 = 4
6×4=24
Write the word sentence as an inequality The quotient of a number y and -3.6 is less than 6.5.
Answer:
the quotient of a number y and negative three point six is less than six point five.
HELP! WILL MARK AS BRAINLIEST (MATHEMATICS FORM 1 // BASIC ALGEBRA) pls help me answer these 4 question TYSM!!!
Answer:
hope this help you a lot but it's too late
can you mark me as brainlist
y
3
2
1
-4
-3 -2
-1
1
2
2
3
4
-1+
-2+
-3+
-4
What is the slope of the line?
Answer:
1/2
Step-by-step explanation:
y = mx + b is slope intercept form.
b = y intercept. where the line first passes through on the y axis
that number is 3.
y = mx + 3.
to find M (slope) you have to do RISE / RUN.
Run is going left or right from a point
Rise is going up or down from a point.
To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.
From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.
So, the slope is 1/2.
we bought that house last year it is ___
Answer:
this year is 2021
Step-by-step explanation:
Answer:
What are the answer choices?
Step-by-step explanation: ??