Answer:
4.4cm
Step-by-step explanation:
The area of a circle is [tex]\pi r^{2}[/tex], where r is the radius.
Hence the volume of the cylinder would be [tex]\pi r^{2}h[/tex], where r is the radius and h is the height of the cylinder.
We can set up an equation V = [tex]\pi r^{2}h[/tex]
If we plug in the values we know, V=480, h=8, then we get [tex]480=8\pi r^{2}[/tex]
If we divide both sides be 8pi and square root both sides after that, we can find the value of r.
[tex]r = \sqrt{\frac{480}{8\pi } } =4.37019[/tex]
To the nearest tenth, the radius would round up, yielding 4.4cm
Chelsea jogged 1.3 miles every weekday and 0.7 miles on Saturday. How many miles did Chelsea jog in 2 weeks
Answer:
14.4 miles
Step-by-step explanation: u do 1.38x5 to get 6.5 then u add 0.7 to 6.5 to get 7.2 then you times 7.2 by 2 to get 14.4
Find the value of each variable given the triangle.
How I solve this
Answer:
m∠1 = 108°
m∠2 = 72°
Step-by-step explanation:
By applying triangle sum theorem in the given triangle,
Sum of all interior angles = 180°
38° + 70° + m∠2 = 180°
m∠2 = 180° - 108°
= 72°
Since, angles 1 and 2 are the linear angles,
Therefore, m∠1 + m∠2 = 180°
m∠1 + 72° = 180°
m∠1 = 180° - 72°
m∠1 = 108°
The table shows the number of students who had a job during the summer. Which statement is true?
Grade Level
Students who had a
summer job
Freshman
22
Sophomore
10
Junior
20
Senior
22N
ОООО
The probability of a working sophomore is greater than any other student.
The probability of a working junior is greater than any other student.
The probability of a working senior is as likely as a working sophomore.
The probability of a working freshman is as likely as a working senior.
Answer: d
Step-by-step explanation:
What is the GCF of 36 and 68?
Answer:
4
Step-by-step explanation:
Answer:
The greatest common factor of 36 and 68 is 4
Step-by-step explanation:
36÷4=9
68÷4=17
Answer all part please. I really need this so no random answers. PLEASE ILL GIVE U BRANLIEST . WORTH 100 POINTS AND IF U STEAL MY POINTS I WILL REPORT U TO MOD
Answer:
[tex]x=44[/tex]
m∠1=118°
m∠2=62°
Step-by-step explanation:
Part A: They are supplementary angles, so
[tex]2x+30+62=180[/tex]
Simplify like terms,
[tex]2x+92=180[/tex]
We subtract 92,
[tex]2x=88[/tex]
Divide by 2,
[tex]x=44[/tex]
Part B:
[tex]m[/tex]∠[tex]1=2x+30[/tex] because ∠2 is vertical to 2x+30.
Plug in 44 for x,
[tex]m[/tex]∠[tex]1=2(44)+30[/tex]
Simplify,
[tex]m[/tex]∠[tex]1=118[/tex]
[tex]m[/tex]∠[tex]2=62[/tex]° because it is a vertical angle to the 62° angle.
Answer:
Solution given:
2x+30+62=180°[linear pair]
2x=180-92°
x=88/2=44°
Now,
<1=2x+30=2×44+30=118°[vertically opposite angle]
<2=62°[vertically opposite angle]
[vertically opposite angle]
if your reading this please help meeee
Answer:
both angles are 92 degrees
Step-by-step explanation:
88+c=180
c=92
c and b are vertical angles and all vertical angles are equal
Given \sin A=\frac{5}{\sqrt{89}}sinA=
89
5
and that angle AA is in Quadrant I, find the exact value of \cos AcosA in simplest radical form using a rational denominator.
Answer:
First don't forget the [ tex ] [ /tex ] in order to execute the latex code.
Step-by-step explanation:
[tex] \sin A=\frac{5}{\sqrt{89}}sinA= 89 [/tex]
[tex] \cos AcosA [/tex] = [tex] \cos [/tex]
The exact value of cosine of angle A for the considered case using a rational denominator in simplest radical form is 8√(89)/89
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Given that:
[tex]\sin A=\dfrac{5}{\sqrt{89}}[/tex]
So, from this, we are given the ratio of perpendicular and hypotenuse from the perspective of angle A.
There must be existing a right triangle with same measure of angle A such that:
Perpendicular's length = P = 5 units
and Hypotenuse' length = H = [tex]\sqrt{89}[/tex] units.
Using Pythagoras theorem, we get:
Base' length = B as:
[tex]P^2 + B^2 = H^2\\B = \sqrt{H^2 - P^2}\\\\B = \sqrt{(\sqrt{89})^2 - 5^2}\\\\B = \sqrt{89-25} = \sqrt{64} = 8[/tex]
(took positive root as B is representing length, a non-negative quantity).
Thus, Base is of 8 units length.
Thus, we get:
[tex]\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\cos(A) = \dfrac{B}{H} = \dfrac{8}{\sqrt{89}}[/tex]
Rationalizing, we get:
[tex]\cos(A) = \dfrac{8}{\sqrt{89}} =\dfrac{8}{\sqrt{89}} \times \dfrac{\sqrt{89}}{\sqrt{89}} \\\\\cos(A) = \dfrac{8\sqrt{89}}{89}[/tex]
Thus, the exact value of cosine of angle A for the considered case using a rational denominator in simplest radical form is [tex]\dfrac{8\sqrt{89}}{89}[/tex]
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
Se hizo un estudio estadístico sobre la duración de una marca de pilas. Los resultados, en horas, de una muestra de 15 pilas son: 20, 22, 25, 21, 22, 20, 23, 21, 24, 22, 24, 21, 23, 22, 21. Construye una tabla de frecuencias absolutas y relativas. a. Calcula las frecuencias absolutas y relativas acumuladas. b. ¿Qué porcentaje de pilas dura menos de 22 horas? Rta: sumo los hi < 22: 0,13 + 0,27 = 0,4 x 100% = 40% c. ¿Qué porcentaje de pilas dura menos de 21 horas? Rta: los hi < 21: 0,13 x 100% 13,33%
A diagonal of a square is 20cm long. How long is each side
Answer:
Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm
Step-by-step explanation:
Answer:3
Step-by-step explanation:divide
please helpppppp i will mark you braliest
Answer:
0.3
Explanation:
you multiply all numbers together to get 0.3
someone please please help me with this I would really appreciate it ! ( NO LINKS)
Answer:
Step-by-step explanation:
The cylinder on the right, its volume = 9 bi * 10 = 90 bi
The volume of the left cylinder = 9 bi * 10 = 90 bi
They are equal because the radius and length of 2 cylinders are equal
Find the area of the beans I will mark the brainiest answer
Answer:
4x^2 - 12x +9
Step-by-step explanation:
The figure is a square.
the area of a square is = side^2
area = (2x-3)^2 = 4x^2-12x +9
thanks to rule of the square of a binomial, we can skip this passage:
(2x-3)(2x-3) = 4x^2-6x-6x+9 =4x^2-12x +9
Answer:
4x²−12+9
Steps:
2x(2x−3)−3(2x−3)
4x²−6−3(2x−3)
4x²−6x−6x+9
4x²−12x+9
PLS HELP BRAINLIEST TO CORRECT ANSWER
Haley substituted the values of a, b, and c into the quadratic formula below.
x = StartFraction negative (negative 10) plus or minus StartRoot (negative 10) squared minus 4 (7)(negative 2) EndRoot Over 2(7) EndFraction
What was Haley’s function in standard form?
f(x)=___x2+___x+____
Answer:
7, -10, -2
Step-by-step explanation:
Steps included or some steps, thank you!
Answer: x = -3/4
Step-by-step explanation:
Remember:
[tex]\sqrt{a}=b\\\\a=b^2[/tex]
-----------------
[tex]\frac{\sqrt{4x + 19} }{2} = 2\\\\\sqrt{4x + 19} = 4\\\\(4x+19)=4^2\\\\4x +19 = 16\\\\4x=16-19\\\\4x = -3\\\\x =\frac{-3}{4}[/tex]
A window in the shape of a parallelogram has a base of 34 inches and a height of 63 inches. What is the area of the window?
Answer:
2142 inches^2
Step-by-step explanation:
parallelogram's area: base * height
so, 34*63 = 2142
Set B = {55, 57, 58, 59, 61}. Which number in set B has the smallest prime factor?
Answer:
58
Step-by-step explanation:
1 isn't a prime number. 2 is the smallest, which is in 58
Brainlyist for the right answer
Answer:
it is C.
Step-by-step explanation:
just trust me.
Answer:
she is right it's C
Step-by-step explanation:
Have a good Day! :)
Write in word form:
436,783,210
Answer:
Four hundred thirty six million, seven hundred eighty-three thousand, two hundred ten
Step-by-step explanation:
four hundred and thirty six
seven hundred and eighty three
two hundred and ten
Step-by-step explanation:
PLEASE HELP !!
what is the arrow pointing at? 100, 200, 300.
Answer:
your answer is 170 but if its round to the nearest probably pick 200
Answer:
200
Step-by-step explanation:
170 rounds to 200
Part A
Which of the following expressions could be used to find
the volume of the sheet cake? Select all that apply.
Sheet cake has length of 12 in., height of 3 in. and width of 5 in.
A. 60 × 3
B. 12 + 5 + 3
C. 3 × 5 × 12
D. 12 × 5
E. (3 × 5) × 12
Part B
The baker adds another 1-inch-thick layer to the bottom of the sheet cake. The height of the sheet cake is now 4 inches. What is the volume of the sheet cake?
A. 200 in.3
B. 240 in.3
C. 180 in.3
D. 220 in.3
Answer:
Part A: option C
Part B: option B
Step-by-step explanation:
In the image provided, the circle is centered at point W with ZX←→ and ZY←→ tangent to ⊙W at X and Y, respectively.
Given ∡XWY=75°, what is ∡XZY?
A. 105°
B. 150°
C. 75°
D. 15°
9514 1404 393
Answer:
A. 105°
Step-by-step explanation:
The external angle at Z is the supplement of the internal angle at W.
Z = 180° -75° = 105°
∠XZY = 105°
the area of a semi circle when the radius is 28cm
Please help me out.❤️
Answer:
7
Step-by-step explanation:
Write the numbers lowest to greatest
16 18 20 21 25 42
range is 25- 18 = 7
Find the slope of the line that passes through (3, 5) and (8, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer: Answer is B
Step-by-step explanation:
A ladder of length 6m leans against a vertical wall so that the base
of the ladder is 2m from the wall. Calculate the angle between the
ladder and the wall.
Answer: sin x = 2/6
x = 0.33
x = 19.5 degrees
Step-by-step explanation:
Geometry help please! Thank you
Answer:
ZWXY
Step-by-step explanation:
The other shape is the same but you want to name it the same way that they named the first one
HELP PLEASE KHAN ACADAMY
Answer:
-45
Step-by-step explanation:
5. Find the area of trapezoid
Please help
Answer:
39.2
Step-by-step explanation:
A- area of trapezoid
a-Base
b-Base
h-Height
[tex]A=\frac{a+b}{2} h=\frac{7(9.2+2)}{2}=39.2[/tex]giving out brainiest for whoever gets it right!
Mandy made a circular ower garden with a diameter of 7 feet. She wants to put a fence around the outside of the
garden. About how much fence does
Mandy need to buy? (Use 3.14 for .)
A. 11 feet B. 22 feet
C. 38 feet D. 44 feet
NO LINKS OR SPAMMING IF U DO U WILL BE BLOCKED AND REPORTED!
Answer:
b. 22
Step-by-step explanation:
7 x 3.14 = 21.95
( 22 because you cannot buy half of one so you have to round it)
21.95 - 22
Which statement BEST describes how the pipe player in Passage 1 influenced Caesar's crossing of the Rubicon?
A ) The pipe player's song distracted the opposition, which allowed Caesar to mount a suprise attack.
B ) The pipe player had a striking appearance that Caesar admired.
C ) The pipe player convinced other soldiers to join Caesar in his fight.
D ) The pipe player's song brought nearby trumpeters to the area, which inspired Caesar to sound the advance.
Answer:a or d
Step-by-step explanation: