Answer:
500.3 cm³
Step-by-step explanation:
Find the area of base first, then multiply the height.
Area of the circular base
= π × 3.5²
= 38.48451...
= 38.5 cm² (rounded to the nearest tenth)
Volume of the circular prism
= 38.5 × 13
= 38.48451... × 13
= 500.29863...
= 500.3 cm³
what's the answer ?
[tex] \sqrt{7 \times 343} [/tex]
Answer:
49
Step-by-step explanation:
[tex]\sqrt{7(343)}[/tex]
= [tex]\sqrt{2401}[/tex]
= 49
Answer:
[tex]\sqrt{7*343}=49[/tex] ✔︎
Step-by-step explanation:
[tex]Simplify~ the~ radical ~by ~breaking ~the~ radicand ~up~ into ~a ~product ~\\of known factors[/tex]
᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄
EN LA CIMA DE UN FARO DE 7 m DE ALTO SE OBSERVA UNA LANCHA CON UN ANGULO DE DEPRESIÓN DE 12 GRADOS. CALCULAR LA DISTANCIA ENTRE LA LANCHA Y EL PIE DEL FARO
Answer:
33 metros
Step-by-step explanation:
Esto puede simplemente asimilarse a un problema de trigonometria simple. El Vemos un faro con una altura de 7 m, observando una lancha a 12°. Se pide calcular la distancia de la lancha al faro, pero desde su base.
En este caso, necesitamos determinar ese lado. Observando la figura adjunta, podrás notar que solamente debemos calcular el cateto adyacente del triangulo formado entre el faro y la lancha y sus distancias. Para hacer eso, solo usamos la siguiente función trigonométrica:
tgθ = cat op / cat ady (1)
De ahí despejamos el cat ady:
cat ady = cat op / tgθ
Reemplazando tenemos:
cat ady = 7 / tg12
cat ady = 32.93 m o solo 33 m.
Espero te sirva
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the boat and the lighthouse is 32.93 meters.
What is Tangent (Tanθ)?
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
Como se da que la altura del faro es de 7 m mientras que el ángulo de depresión es de 12°, por tanto, el ángulo entre el barco y la parte superior del faro también es de 12°.
Ahora, la función tangente de la trigonometría se puede escribir como,
[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distancia entre el faro y el barco}}\\\\\\{\text{Distancia entre el faro y el barco}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distancia entre el faro y el barco}} =32.93\rm\ m[/tex]
Por tanto, la distancia entre el barco y el faro es de 32.93 metros.
In English,
The question is AT THE TOP OF A 7 m HIGH LIGHTHOUSE, A BOAT IS SEEN WITH AN ANGLE OF DEPRESSION OF 12 DEGREES. CALCULATE THE DISTANCE BETWEEN THE BOAT AND THE FOOT OF THE LIGHTHOUSE.
As it is given that the height of the lighthouse is 7 m while the angle of depression is 12°, therefore, the angle between the boat and the top of the lighthouse is also 12°.
Now, the tangent function of the Trigonometry can be written as,
[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distance between the light house and the boat}}\\\\\\{\text{Distance between the light house and the boat}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distance between the light house and the boat}} =32.93\rm\ m[/tex]
Hence, the distance between the boat and the lighthouse is 32.93 meters.
Learn more about Tangent (Tanθ):
https://brainly.com/question/10623976
Oliver purchased 11.3 gallons of gasoline. There are approximately 3.8 liters
in 1 gallon. Which measurement is closest to the number of liters of gasoline
Oliver purchased?
E) 40.84
F) 7.5L
G) 15.1 L
H) 42.94 L
Answer:b
Step-by-step explanation:
the cost to rent a paddleboat at the city park includes an initial fee of $7.00, plus $3.50 per hour. Which equation models the relationship between the total cost, Y, and the number of hours, X, that the paddleboat is rented?
A. y =3.5x+7 B. y =7x+3.5
B. y =7x+3.5
C. y =x/7+3.5 D. y =x/3.57
D. y =x/3.5+7
Answer:
the correct answer is A, y=3.5x + 7
6(2x-3) - 2(2x+1)
can someone get an answer for that ASAP pls
no links :)
Answer: 8x−20
Step-by-step explanation:
Distribute:
=(6)(2x)+(6)(−3)+(−2)(2x)+(−2)(1)
=12x+−18+−4x+−2
Combine Like Terms:
=12x+−18+−4x+−2
=(12x+−4x)+(−18+−2)
=8x+−20
Answer:
[tex]6 \times 2x = 12x\\ 6 \times - 3 = - 18 \\ - 2 \times 2x = 4x \\ - 2 \times 1 = - 2 \\ now \: add \: like \: terms \\ 12x - 4x = 8x \\ - 18 - 2 = 20 \\ \frac{ - 8x}{8} = \frac{20}{8} \\ x = 2.5 \: or \: \frac{5}{2} [/tex]
Step-by-step explanation:
brainiest please
HELP MEEEeeeeeEEEEEEEEEEE
Answer:
it's neptune hun
Step-by-step explanation:
Answer:
Neptune
Step-by-step explanation:
Like Jupiter and Saturn, Neptune radiates more hear than it receives. ... The average temperature on Neptune is a brutally cold -373 degrees F. Triton, Neptune's largest satellite, has the coldest temperature measured in our solar system at -391 degrees F.
BM 1: 2. Find the value of angles x and y in circle A.
.X=
150°
175°
y =
to
Answer:
x = 35
y = 17.5
Step-by-step explanation:
By Central angle and its corresponding arc theorem:
x° = 360° - (175° + 150°)
x° = 360° - 325°
x° = 35°
x = 35
By inscribed angle theorem:
[tex]y \degree = \frac{1}{2} x \\ \\ y\degree = \frac{1}{2} \times 35 \degree \\ \\ y\degree = 17.5 \degree \\ \\ y \: = 17.5[/tex]
Answer:
x=35 y=17.5
Step-by-step explanation:
This problem wants you to find the angles of an inscribed and central angle.
Note: central angles are angles that have radii as there sides and the center (of the circle) as its center. Inscribed angles are angles that have chords as there sides and there vertex as a point on a circle.
I will by find the measure of the missing arc. To do this is simple, Just add 175+150 and subtract from 360,
175+150= 325
360-325=35
So, the missing arc length is 35. X is a central angle and central angles are equal to the arc length. This means that,
x=35
Lastly, we need to find y, an inscribed angle. Inscribed angles are half of the arc length. So, the measure of y is 17.5
y=17.5
Michelle drives her car around a square track each side of the track is 30 feet long. How many times does the car need to go around the track to go a total distance of1,200 feet/
Answer:
10 times
Step-by-step explanation:
distance covered once is equal to the perimeter of the square
perimeter of the square = 4 x length
4 x 30 = 120 ft
number of times = 1200 / 120 = 1-
‼️‼️‼️‼️can someone pls explain and what’s the answer? pls:)‼️‼️‼️‼️‼️‼️
Answer:
4. B
(I'm not positive on what the answer to 5 is, so I won't guess bc I don't want u to get it wrong.)
Step-by-step explanation:
I know that the answer for 4 is B and I'll tell u why. B reads y = 1.5x
This means that when u multiply any number in the row marked "x" by 1.5 it should get the number that's right below it (in the "y" row).
This may sound confusing so let's add some context to it. When we chose the number 20 in the "x" row and multiply it by 1.5 the number we should get has to be 30 bc it's right below 20. In this case it IS so it is a true statement. Make sure to check the statement using different numbers from the row marked "x". (I already checked for u, but it's still a good tip to have )
HOWEVER, when we do a statement that does not correspond to the table
it will not give u a number that's below the row "x". If we use statement A, x = 1.5y that would mean that every number in row "y" should be the number on top of it (row "x") when multiplied by 1.5. This is a false statement bc 60 × 1.5 does not equal 40. If we keep trying with this statement, we will see that it's false. THE EQUATION THAT REPRESENTS THE DATA IN THE TABLE IS B.
give an example of how random sampling process is used in a real-world situation
Answer:
Random sampling uses specific words for certain things. "Population" means every possible choice. Whether you're choosing numbers, things or people, "population" means "all the possible things I could choose." "Sample," logically enough, means the thing or things you choose from the population to study
Step-by-step explanation:
could you help me with this maths problem please
10 - ____ = 9 1/8
i need to find the fraction taken away from 10 to get 9 1/8
Answer:
12
Step-by-step explanation:
I forgot Sorry
Answer:
The answer is 7/8.
You can simply bring 9⅛ to the left hand side
You'll have your answer .
To verify
10-7/8 = 73/8
which further simplifies to 9⅛.
Thanks
5 balloons in 12 minutes. At this rate, how many balloons can she blow up in 3 hours?
Answer:
75 ballons in 3 hours
Step-by-step explanation:
We know the ratio min to balloon, 12:5.
A common factor of 60 is 12 and 5. We know that 5 balloons will come out of the 12 interval mark. [tex]5*5:12*5[/tex] So each hour, we get 25 balloons per hour. Multiply 3 on both sides of the equation to get the total amount of balloons. [tex]5*5*3:12*5*3[/tex]
So, 75 balloons is how many she can blow up in 3 hours.
pleas helppp!! lol :)
Answer:
Circumference of the circle with a radius of 5 is 31.42
Step-by-step explanation:
Answer:
The 1st one is: 31.4cm
Step-by-step explanation:
1st: 2 x 3.14 x 5 = 31.4
29
7. Find the least number that must be added to 1300 so as to get a perfect square. Also, find the square root of the
perfect square
Answer:
69 need to be added
Step-by-step explanation:
1300 +69 = 1369
37 ² = 1,369
square root of 1,369 is 37
Simplify the expression below.
PLEASE HELP!!
The first answer gets BRAINLY and shows steps
The graph below represents slope as a rate of change
Which is the slope of the line shown?
A. 4.8
B. -3
C. -2/3
D. 2/3
Answer:
D. 2/3
Step-by-step explanation:
Two distint points on the graph are
(0, -3) and (6, 1)
Slope = (rise in y) / (run in x)
Rise:
y goes from -3 to 1
rise = 4
Run
x goes from 0 to 6
run = 6
Slope = 4/6
reduce
Slope = 2/3
how much paper is needed to cover a rectangular bulliten board that is 29 in. wide and 37 in. high?
Answer:
1073 inches squared.
Step-by-step explanation:
To find how much paper is needed to cover the board, you have to find the area. The formula of area for rectangles is length times width or as you said in the question width times height.
To find the answer:
Area = length * width
Area = 29 * 37
Area = 1073 inches squared.
Don't forget to add the units!
Plz answer this quick!!!
Answer:
3 Beings
Step-by-step explanation:
If 20% of them preferred quect juice and 15 were surveyed, then 3 preferred quect juice because 20% of 15 is 3!
Hope this helps! :)
Write 5,890,000,000 in scientific notation.
The units of area and volume are..
Answer:
Area is measured in square kilometres
Step-by-step explanation:
Volume measures the space inside a 3-dimensional objects
A triangle has interior angles of 101 degrees, 65 degrees, what is the other degree?
Answer:
180 degrees - 101 degrees - 65 degrees = 14 degrees
Find the total area round to the nearest 10th if necessary use the pi symbol on calculator
Answer:
[tex] Total \:area\approx 290.5\: ft^2 [/tex]
Step-by-step explanation:
Total area [tex] =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2 [/tex]
(where [tex] r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft[/tex])
[tex]\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2) [/tex]
[tex]\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2) [/tex]
[tex]\therefore Total \:area=1.57(121 + 64) [/tex]
[tex]\therefore Total \:area=1.57(185) [/tex]
[tex]\therefore Total \:area=290.45\: ft^2 [/tex]
[tex]\therefore Total \:area\approx 290.5\: ft^2 [/tex]
Help! Will give out brainliest
Answer:
75
Step-by-step explanation:
don't know how to explain hope this helps
it would be 75
-----------------------------------------------------------------------------------------------------------------
Is the ratio 15:12 equivalent to these? Explain your reasoning.
Let's simplify the ratio
[tex]\\ \sf\longmapsto 15:12[/tex]
[tex]\\ \sf\longmapsto \dfrac{15}{12}[/tex]
Cancel by 3[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]
[tex]\\ \sf\longmapsto 5:4[/tex]
The following two-way table shows the number of students of a school who have a cell phone and/or have a part-time job: Have Cell Phone Do Not Have Cell Phone Total Have Part time Job 40 10 50 Do Not Have Part time Job 10 40 50 Total 50 50 100 Based on the table, how many students have both a cell phone and a part-time job? (5 points) Question 14 options: 1) 10 2) 40 3) 50 4) 100
Answer:
I think it is B, so the correct answer is 40
Step-by-step explanation:
Answer:
The other guy is correct, the correct answer is B. 40.
Step-by-step explanation:
Under Students that have a cell phone and under students that have a part-time job the total amount of people is 40
Find the surface area of this rectangular prism. 4cm,9cm.5cm
Answer:
18cm
Step-by-step explanation:
Can somebody please help? It don't get it
Answer: 4
14 is shown... then you have 10 that is shown how much more would it take to make 14..... 4 more
10+x=14
x=4
Answer:
Equation: 14 - j = 10
j = 4
Step-by-step explanation:
What is the area of the figure?
7 in.
8 in.
7 in.
8 in.
,
4 in.
16 in.
Answer:
Step-by-step explanation:
50
Select the correct answer.
What is the value of x in the triangle?
Answer:
D. 2√2
Step-by-step explanation:
sin 45° = 1/√2
P/H = 1/√2
x/4 = 1/√2
= 1/√2 × 4
= 4/√2
x = 4×√2/√2×√2
= 4√2 /2
= 2√2
Option D. 2√2
how do i do tangent lines?
Answer:
x = 154°
Step-by-step explanation:
The 4 interior angles of the quadrilateral sum to 360°
The angles between the tangents and the radii = 90°
Then
x = 360° - (90 + 90 + 26)° = 360° - 206° = 154°