Answer:
10√2
Step-by-step explanation:
5√2³ = 5√8 = 5√(2 x 4) = (2 x 5)√2 = 10√2
If the mass of an object is 2kg and the applied force is 26N, calculate the acceleration. ___________m/s/s
Answer:
a = (13 m) / (sec^2)
Step-by-step explanation:
Force equation: F = ma
yields a = F/m
Here F = 26 N and m = 2 kg, so
a = (26 N) / (2 kg) = (13 m) / (sec^2)
Which data set has a relatively low mean and variability when compared with a data set that has a mean of 20 and a MAD of 3.1? A. Mean: 5 and MAD: 4.6 B. Mean: 25 and MAD: 6.5 C. Mean: 41 and MAD: 0.9 D. Mean: 8 and MAD: 1.2
Answer:
Mean: 8 and MAD: 1.2
Step-by-step explanation:
Given a data with :
Mean = 20 ; mean absolute deviation (MAD) = 3.1
DATA with a low mean and variability Than The above from the options given :
The most appropriate option is : Mean: 8 and MAD: 1.2 ; because both values of the mean and mean absolute deviation are lesser than the value given.
You earn $35 for washing 7 cars. How much do you earn for washing 4 cars?
You earn $
for washing 4 cars.
HELP ASAP WILL MARK BRAINLIEST AREA OF FIGURES
Answer:
1. 170.083 in³
2. 126π in³
3. 92.106 m³
4. 2412.74 in³
5. 612π m³ and 1922 m³
Step-by-step explanation:
1.
Cylinder:
[tex]V = \pi r^{2}h[/tex] *Plug in numbers*
[tex](3.14)(2.5)^{2}(7)[/tex] *Square 2.5*
[tex](3.14)(6.25)(7)[/tex] *Solve*
≈ [tex]137.375in^{3}[/tex]
Sphere:
[tex]V = \frac{4}{3}\pi r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3} (3.14)(2.5)^{3}[/tex] *Cube 2.5*
[tex]\frac{\frac{4}{3}(3.14)(15.625)}{2}[/tex] *Divide by 2 and Solve*
≈ [tex]32.7083 in^{3}[/tex]
Add both volumes
[tex]137.375 + 32.7083[/tex] ≈ [tex]170.083in^{3}[/tex]
2.
Cylinder:
[tex]V = \pi r^{2}h[/tex] *Plug in numbers*
[tex]\pi (3)^{2}(10)[/tex] *Square 3*
[tex]\pi (9)(10)[/tex] *Multiply*
[tex]90\pi[/tex]
Sphere:
[tex]V = \frac{4}{3}[/tex] π [tex]r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3}\pi (3)^{3}[/tex] *Cube 3*
[tex]\frac{4}{3} \pi (27)[/tex] *Multiply*
[tex]36\pi[/tex]
Add both Volumes to get total
[tex]90\pi + 36\pi = 126in^{3}[/tex]
3.
Sphere:
[tex]V = \frac{4}{3}\pi r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3} (3.14)(3)^{3}[/tex] *Cube 3*
[tex]\frac{4}{3} (3.14)(27)[/tex] *Multiply*
[tex]113.04m^{3}[/tex]
Cone:
[tex]V = \frac{\pi r^{2}h}{3}[/tex] *Plug in numbers*
[tex]\frac{(3.14)(2)^{2}(5)}{3}[/tex] *Square 2*
[tex]\frac{(3.14)(4)(5)}{3}[/tex] *Solve*
[tex]20.93m^{3}[/tex]
Subtract the volumes to get the volume of the blue area
[tex]113.04 - 20.93 = 92.106m^{3}[/tex]
4.
Sphere:
[tex]V = \frac{4}{3} \pi r^{3}[/tex] *Plug in numbers*
[tex]\frac{4}{3}\pi (8)^{3}[/tex] *Cube 8*
[tex]\\\frac{4}{3}\pi (512)[/tex] *Multiply*
[tex]\\\\\pi (682.6)[/tex] *Solve*
[tex]2133.66in^{3}[/tex] *Divide by 2 since it's a hemisphere*
Cone:
[tex]V = \frac{\pi r^{2}h}{3}[/tex] *Plug in numbers*
[tex]\frac{\pi (8)^{2}(20)}{3}[/tex] *Square 8*
[tex]\frac{\pi (64)(20)}{3}[/tex] *Multiply and Divide*
[tex]1340.41 in^{3}[/tex]
Add both volumes
[tex]1072.33 + 1340.41 = 2412.74in^{3}[/tex]
5.
Cylinder:
[tex]V = \pi r^{2}h[/tex] *Plug in numbers*
[tex]\pi (6)^{2}(16)[/tex] *Square 6*
[tex]\pi (36)(16)[/tex] *Multiply*
[tex]576\pi[/tex]
Cone:
[tex]V = \frac{\pi r^{2}h}{3}[/tex] *Plug in numbers*
[tex]\frac{\pi (6)^{2}3}{3}[/tex] *Square 6*
[tex]36\pi[/tex]
Add both volumes
[tex]576\pi + 36\pi = 612\pi m^{3}[/tex]
Alternative: *Multiply π*
[tex]1922m^{3}[/tex]
Answer:
1) 175 [tex]in^2[/tex]
2) 1st option
3) 92 [tex]m^2[/tex]
4) 2412 [tex]in^3\\[/tex]
5) 2nd option
Step-by-step explanation:
[tex]1)\ A = D * Pi = 5 * 3.14 = 15.7\\[/tex]
[tex]2)\ V_{1} = 15.7 * 7 = 109.9[/tex]
[tex]3)\ V_{2} = 4Pi*\frac{R^3}{3} = 12.56*\frac{15.625}{3} = 65.41(6)[/tex]
[tex]4)\ V_1 + V_2 = 65.4 + 109.9 = 175.3[/tex] which is close to 175
[tex]1)\ A = Pi * R^2 = 3.14 * (\frac{6}{2})^2 = 3.14 * 3^2 = 28.26\\[/tex]
[tex]2)\ V_1 = A * h = 28.26 * 10 = 282.6[/tex]
[tex]3)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * (\frac{6}{2})^3 = 113.04[/tex]
[tex]4)\ V_1 + V_2 = 282.6 + 113 = 395.6[/tex] which is very close to 396
[tex]5)\ 396 = 126 * pi[/tex]
[tex]1) V_1 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 2^2 * 5 = 20.9(3)[/tex] =
[tex]2)\ V_2 = \frac{4}{3} * Pi * R^3 = \frac{4}{3} * 3.14 * 3^3 = 113.04\\[/tex]
[tex]3)\ V_2 - V_1 = 113.04 - 20.93 = 92.14[/tex] which is very close to 92
[tex]1)\ V_1 = \frac{\frac{4}{3} * Pi * R^3}{2} = \frac{\frac{4}{3} * 3.14 * 512}{2} = 1,071.786\\[/tex]
[tex]2)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * 3.14 * 64 * 20 = 1,339.733[/tex]
[tex]3)\ V_1 + V_2 = 1072 + 1340 = 2,411 = 2412[/tex]
[tex]1)\ A = Pi * R^2 = 36*Pi\\[/tex]
[tex]2)\ V_1 = 36*Pi * 16 = 576 * Pi\\[/tex]
[tex]3)\ V_2 = \frac{1}{3} * Pi * R^2 * h = \frac{1}{3} * Pi * 36 * 3 = 36 * Pi[/tex]
[tex]4) V_1 + V_2 = 576Pi + 36Pi = 612Pi[/tex]
Which blocks have a volume between 20 and 30 cubic centimeters?
A, B
A, C
B, C
B, D
Each of the cuboidal blocks B and D has a volume of 24 cubic units. As a result, choice D is the right response.
What is the formula to find the volume of a cuboidal block?
The formula to find the volume of a cuboidal block is l×b×h.
The dimensions of cuboidal block A are length=6 units, breadth=2 units and height=1 units
Now, the volume of a cuboidal block A=6×2×1=12 cubic units.
The dimensions of cuboidal block B are length=4 units, breadth=2 units and height=3 units
Now, the volume of a cuboidal block B=4×2×3=24 cubic units.
The dimensions of cuboidal block C are length=5 units, breadth=3 units and height=3 units
Now, the volume of a cuboidal block C=5×3×3=45 cubic units.
The dimensions of cuboidal block D are length=6 units, breadth=2 units and height=2 units
Now, the volume of a cuboidal block D=6×2×2=24 cubic units.
The volume of cuboidal blocks B and D is 24 cubic units each. Therefore, option D is the correct answer.
To learn more about volume visit:
https://brainly.com/question/1578538
#SPJ1
Help me pleaseeeeeeeee
71
Step-by-step explanation:
that it is not 0 because i am a teacher mrs.brainly so there is the thing
Which function is shown in the graph below?
y
10
8-
6
2
-10 -8 -6 -
24 8 8 10 x
18+
-10
-107
Answer:
I'm already past this but the answer is 21
what is the slope?
if possible can you explain?
Answer:
[tex]m = \frac{4}{5} [/tex]
Step-by-step explanation:
The slope of a graph is also known as its gradient, which is the steepness of the graph.
If we are given two points on the line, we can find the slope by taking rise/ run, which is the ratio of the change in y-coordinate against the change in the x-coordinate. This can also be written as a formula:
[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]
☆ (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate
In this question, we are given the equation of the line. This equation is already in the slope-intercept form (y= mx +c) since the coefficient of y is 1 and all the other terms are on the other side of the equal sign. In the slope-intercept form, m is the slope while c is the y-intercept.
m= ⅘ since the coefficient of x is ⅘ in the given equation (when the equation is in the slope-intercept form).
Jason wants to buy his dad a television for his birthday. The original cost is $1300. The sales price is $800. What is the percent change for the television? Round your answer the the nearest tenth.
Answer: 38.5%
Step-by-step explanation:
it decreased by 38.5%
formula for it is (value 2 - value 1)/value 1 * 100 = so (800-1300)/1300*100 = -500/1300*100 = -0.384615 * 100 = -38.4615 = -38.5 (round off) = 38.5 decrease
(WILL GIVE BRAINLIEST IF CORRECT) Find the equation of the line that passes through (1,3) and is perpendicular to y = 2 x + 3 . Leave your answer in the form y = m x + c
Answer:
y = -1/2x + 7/2
Step-by-step explanation:
Choose the correct trig ratio you would use to solve for the missing piece of the right triangle:
Select ALL the equations where a = 5 is a solution.
Group of answer choices
a + 10 = 14
4 = 20 ÷ a
13 + a = 18
36 = 5a
a - 5 = 0
does anyone know how to do this?
Answer:
mRS = 116
Step-by-step explanation:
If Segment SR ≅ TU then, arc SR ≅ arc TU
Thus, 6x - 28 = 4x + 20
^ ( note that this is the equation we will use to solve for x )
6x - 28 = 4x + 20
step 1 add 28 to each side
28 + -28 cancels out
28 + 20 = 48
we now have 6x = 4x + 48
step 2 subtract 4x from each side
6x - 4x = 2x
4x - 4x cancels out
we now have 2x = 48
step 3 divide each side by 2
2x / 2 = x
48 / 2 = 24
we're left with x = 24
Now to find the value of arc RS we substitute x with 24 in arc RS' given expression
arc RS = 6x - 28
* substitute x with 24 *
arc RS = 6(24) - 28
6 * 24 = 144
144 - 28 = 116
Hence, arc RS = 116
Answer:
Answer : mRS equals 116.
Dixon leaves school to go home.he walks 6 blocks north and 8 blocks west. How far is Dixon from the school
Answer:
2 blocks would be the correct answer
18 is 15% of what number
Answer:
120
Step-by-step explanation:
Help with this question
Answer: A. X=4
Step-by-step explanation:
Since the line is on the X axis you can see its touching x,4 y,0
HELP ME PLZ I NEED HELP
Answer:
A
Step-by-step explanation:
[tex]\frac{12}{a} = \frac{9}{b} => 12b = 9a[/tex]
[tex]12 * 1.5 = 9 * 2[/tex]
[tex]18 = 18[/tex]
This option works
The reasures of two angles have a sum of 180°. The measures of the angles are in a ratio of 5:1. Determine the measures of both angles.
Answer:
150° : 30°
Step-by-step explanation:
total ratio
5 + 1 = 6
ratio 1
180 ÷ 6 = 30
ratio 5
30 × 5 = 150
HELP In circle J with m∠HJK=126 and HJ=14 units, find the length of arc HK. Round to the nearest hundredth.
Answer: 39.79
Step-by-step explanation:
126/360 (2pi14)
yesterday the temperature at noon was 21.5°F. By midnight,it had gone down by 30°F. What was the temperature at midnight
Answer:
The temperature was -8.5
Step-by-step explanation:
Subtraction
Find the measure of the arc or angle indicated
Answer:
the term arc is used for a portion of a circle along its circumference. The size of the arc is usually given by the size of the angle subtended by the arc at the center or the length of the arc. The angle subtended at the center is also known as the angle measure of an arc or informally the arc measure.
Step-by-step explanation:
Answer:
A) 64°
Step-by-step explanation:
By intersecting secants theorem:
[tex] m\angle ACB = \frac{1}{2} (m\widehat {AS} - m\widehat {BD}) [/tex]
[tex] 35\degree = \frac{1}{2} (134\degree - m\widehat {BD}) [/tex]
[tex] 70\degree =134\degree - m\widehat {BD} [/tex]
[tex] m\widehat {BD} =134\degree - 70\degree[/tex]
[tex] m\widehat {BD} =64\degree[/tex]
Expand the expression by distributing
-2(-4x-7)
Answer:
8x+14
Step-by-step explanation:
Find the difference. (k2−7k+2)−(k2−12)
Answer:
-7k + 14
Step-by-step explanation:
(k² - 7k + 2) - (k² - 12)
k² - 7k + 2 - k² + 12
k² - k² - 7k + 2 + 12
-7k + 14
how do you solve this
Answer:
5^5+4/5^6
5^9/5^6
5^9-6
5^3
125
Step-by-step explanation:
Firstly the powers of 4 adds up
Then net power is formed by (9-6) ie 3
Lastly 5^3 is result which is 125
Given that € 1 = £0.72
a) How much is € 410 in £?
Answer:
x = 292.2 pounds (£)
Step-by-step explanation:
Write and solve an equation of ratios:
€ 1 £0.72
--------- = ----------
€410 x
Cross-multiplying, we get:
x = 292.2 pounds (£)
Can anyone help me on the first question??
Steven is training for a race. He can currently run 1 mile in 7 minutes and wants to improve his time by 10 seconds each week until he can run one mile in 5 minutes. Which equation should Steven use to calculate the number of weeks (w) it will take him to reach his goal time of 5 minutes?
a) 7 - 10w = 5
b) 10w + 7 = 5
c) 10w - 7(60) = 5(60)
d) 7(60) - 10w = 5(60)
Adrian drives 14 miles east on Broadmoor and 10 mies south on 5th street each day to get to work. Find the number miles Adrian would drive if he took the diagonal path along Skyline Drive instead? NO LINKS!!!
Answer:
just add all the numbers
Step-by-step explanation:
please follow me,
follow you back...
Answer:
The answers is 17.2 miles
Step-by-step explanation:
a rectangle has an area of 58.5centimeter square and it is 4.5meter wide find the length
Answer:
0.13 cm ( as question was posted)
13 cm ( if width was in centimeters)
Step-by-step explanation:
a = lw
4.5m = 450cm
Plug in the knowns
58.5 = l(450)
Divide both sides by 450
0.13 = l
length is 0.13 cm
----------------------------
I did the qustion as you posted it.
If you intended 4.5 centimeters instead of 4.5 meters then
58.5 = l(4.5)
divide both sides by 4.5
l = 13 cm
2x^(2)+12x+8
using completing square
Answer:
[tex] {2x}^{2} + 12x + 8 \\ = {x}^{2} + 6x + 4 \\ = {x}^{2} + 6x + {( \frac{6}{2}) }^{2} + 4 - {( \frac{6}{2} )}^{2} \\ = ( {x}^{2} + 6x + {3}^{2} ) + ( - 5) \\ = {(x + 3)}^{2} - 5[/tex]