Answer:
Distance between school and home = 105 miles.
Step-by-step explanation:
Let distance = D miles
Time to take walking/jogging, t1 = D/6 hours
Time by car, t2 = D/35 hours
Average time, t
= (t1+t2)/2
= D(1/6+1/35)
= (D/210)(35+6)
=41D/210 hours
Given t = t1-3 hours
41D/210 - D/6 = 3
Solve for D
41D/210 - 35D/210 = 3
(41-35)D/210 = 3
6D/210 = 3
D = 3*210/6 = 105 miles.
(Appreciate very much Diana's efforts to walk/job 105 miles to school, and we understand how lucky we are in most of Europe and North America)
Jessica plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.
In a ABC shown below, side AC is extended to point D with m Z DAB= (180 – 3x) °, mZ B= (6x – 40) °, and m ZC = (x+20) °.
Whats the measure of angle BAC?
Answer:
60°
Step-by-step explanation:
Given :
DAB= (180 – 3x) °,
mZ B= (6x – 40) °, and
m ZC = (x+20) °.
DAB = mZ B + m ZC ( the exterior angle equal the sum of the two opposite interior angles)
180 - 3x = (6x - 40) + (x + 20)
180 - 3x = 6x - 40 + x + 20
180 - 3x = 6x + x - 40 + 20
180 - 3x = 7x - 20
180 + 20 = 7x + 3x
200 = 10x
x = 200/10
x = 20
Angle B = 6x - 40 = 6(20) - 40 = 120 - 40 = 80
Angle C = x + 20 = 20 + 20 = 40
BAC = 180 - (80 + 40) (SUM OF ANGLES IN A TRIANGLE)
BAC = 180 - 120
BAC = 60°
A sphere p has a volume of 75 cm cube. Find the volume of a sphere whose radius is twice the radius of p
Answer:
https://www.gigacalculator.com/calculators/volume-of-sphere-calculator.php this the link for the marth calculate
find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).
The shorter leg of a right triangle is 6ft shorter than the longer leg. The hypotenuse is 6ft longer than the longer leg. Find the side lengths of the triangle.
Answer:
mmm I think you first subtraction
the Satya Vansh become an important dynasty in the world of
Answer: it’s 352425262625251452 is 4th of July and I am present
Step-by-step explanation:
(PLEASE ANSWER QUICK) Which data set could be represented by the box plot shown below?
Answer:
Your answer is B
Step-by-step explanation:
The lowest number is 4, therefore it cannot be C.
Now you'll have to cross out numbers on both sides and your mean will be 9 because you'll have to add 8 and 10 together and 18 divided by 2 is 9.
Next, put a line between 8 and 10, now the 8 side is the lower quartile and the 10 side is the greater quartile.
For the lower quartile, add 7 and 7 together, divide 14 by 2 and the lower quartile is 7.
For the greater quartile, add 11 and 13 together, that's 24, divide 24 by 2 and that's 12.
Lowest: 4
Mean: 9
Lower quartile: 7
Greater quartile: 12
Highest: 14
Therefore your answer is B and not A or C.
In ΔJKL, the measure of ∠L=90°, JL = 80, KJ = 89, and LK = 39. What is the value of the sine of ∠J to the nearest hundredth
Given:
In ΔJKL, m∠L=90°, JL = 80, KJ = 89, and LK = 39.
To find:
The value of sine of ∠J.
Solution:
In a right angle triangle,
[tex]\sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
In triangle JKL,
[tex]\sin J =\dfrac{LK}{KJ}[/tex]
[tex]\sin J =\dfrac{39}{89}[/tex]
[tex]\sin J =0.4382[/tex]
[tex]\sin J \approx 0.44[/tex]
Therefore, the value of sine of ∠J is about 0.44.
find the square (3x+y)
Answer:
9x² + 6xy + y²
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
a = 3x
b = y
(3x +y)² = (3x)² + 2*3x*y + y²
= 9x² + 6xy + y²
(3x)² = 3²*x² = 3*3*x² = 9x²
Which represents the value of s in s + 12 2 100?
Answer:
C)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
s + 12>= 100
s>=100-12
s>=88
Applications and Reasoning:
4. Find the sum of: 300 + 301 + 302 + 303 + 304 + ... + 1239.
hope it helps you see the attachment for further information
63,21,7 write an explicit formula
Answer:
7×3³-n
Step-by-step explanation:
This is a geometric sequence
Use nth term of geometric sequence formula

Ratio is 27/63=1/3
First term is 63

Simplify expression

Solve the compound inequality |3x-9|≤15 and |2x-3|≥5. Give answer in interval notation.
Answer:
Step-by-step explanation:
|3x-9|≤15
-15≤3x-9≤15
-15+9≤3x≤15+9
-6≤3x≤24
-2≤x≤8
x∈[-2,8]
|2x-3|≥5
2x-3≤-5
2x≤-2
x≤-1
and
2x-3≥5
2x≥8
x≥4
solution is x∈[-2,-1]∪[4,8]
Higher Order Thinking A student says that he was rearranging furniture at home and he used
a glide reflection to move a table with legs from one side of the room to the other. Will a glide
reflection result in a functioning table? Explain.
9514 1404 393
Answer:
yes
Step-by-step explanation:
A table is a 3-D object. It makes no sense to talk about reflecting it across a point or line. If the table is reflected across a vertical plane, the top will remain "up" and the legs will remain "down".
A glide reflection across a vertical plane will result in a functioning table.
what is the difference (2x minus 3) minus (x minus 1)
Answer:
x-2
Step-by-step explanation:
Answer:
x-2
Step-by-step explanation:
(2x-3) - (x-1)
= 2x-3-x+1
= x-2
(easy math question please help) find the value of x question #5
Answer:
x = 10
Step-by-step explanation:
Angles in a triangle add up to 180°. Using this, we can form the following equation:
71° + 50° + 6x - 1 = 180. A simplified version is this: 120° + 6x = 180
Remove 120° from both sides to get:
6x = 60
Divide both sides to get:
x = 10
Hope this helps!
What is the Value of 10 − (1 over 2)^4 ⋅ 48
2
4
5
7
Answer: ok so your answer will be 7 so D,
Step-by-step explanation: just follow the simple P.E.M.D.A.S
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Currently offering 100 points.
The dot plots below show the ages of students belonging to two groups of music classes:
Based on visual inspection, which group most likely has a lower mean age of music students? Explain your answer using two or three sentences. Make sure to use facts to support your answer.
Answer:
a ?
Step-by-step explanation:
Answer:
I'm pretty sure it's A? makes more sense
In square inches, what is the area of the composite shape?
**DO NOT INCLUDE LABELS IN YOUR ANSWER!
8 in.
X
8 in.
Answer:
40[tex]\pi[/tex]
or 125.66 rounded
Step-by-step explanation:
area of triangle:
1/2(b*h)
1/2(8*8)
1/2(64)
=32
area of half circle:
[tex]\pi r^{2}[/tex]/2
[tex]\pi r^{2}[/tex]/2
[tex]\pi 4^{2}[/tex]/2
[tex]\pi16[/tex]/2
[tex]\pi8[/tex] or 8[tex]\pi[/tex]
So, 8[tex]\pi[/tex] + 32=40[tex]\pi[/tex]
if the diameter of a circular wall clock is 30 cm, what is the area of rhe clock?
Answer:
Step-by-step explanation:
radius=diameter/2
=30/2
=15 cm
area of a clock=πr^2
=3.14*(15)^2
=3.14*225
=706.5 cm^2
how do you find volume of sphere, cylinder, cone ? ... explaining please
Answer:
hmmmm
Step-by-step explanation:
Cone
The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. The volume of a cone is ¹/₃ × π × r² × l. To calculate the volume we multiply these values together. The answer will be written in units³.
Sphere
The volume of a sphere is ⁴/₃ × π × r³. To calculate the volume we multiply these values together. The answer will be written in units³.
Cylinder
The volume of a cylinder is π × r² × l (r is the radius of the circle and l is the length of the cylinder). To calculate the volume we multiply these values together. The answer will be written in units³. It is more accurate to use π = 3.142 or the π button on a calculator.
A cone is a 3D shape with 2 faces and one edge
A sphere is a 3D shape. It has one continuous face and no edges
A cylinder is a type of prism. It has 3 faces and 2 edges
website I used: https://www.bbc.co.uk/bitesize/topics/zrf3cdm/articles/ztqsdxs
I hope this helped!
Express 1.2 km as a percentage of 300 m
Answer:
1.2km is 400% of 300m
Step-by-step explanation:
1 km=1000m
So,1.2 km=1000*1.2=1200m
Let 1.2km(or 1200m) be x% of 300 m
By the problem,
300*x/100 = 1200
Or, 3x=1200
Or,x=1200/3=400
1.2km is 400% of 300m
Help please !!!!!!!!!!!!
Answer:
C, HL
Step-by-step explanation:
Since the triangles share a side, they have a congruent leg. Looking at the tick marks, the triangles also have congruent hypotenuses. So, they are congruent by the Hypotenuse Leg theorem.
how many people travel more than 30 miles to work?
b)?
Answer:
b
Step-by-step explanation:
around 500 people travel more than just 30 miles to work, sum even travel across the states
when measuring the radius of a sphere an error of 0.6% takes place in the measurement. What will be the permiable error while measuirng the surface
Answer:
So, the error is [tex]4.8\pi r[/tex].
Step-by-step explanation:
Error in measuring the radius = 0.6 %
Let the radius is r.
The surface area of sphere is
[tex]S= 4\pi r^2\\\\dS = 4 \pi\times 2 r dr\\\\dS =8\pi r \times 0.6 = 4.8\pi r[/tex]
What is the image point of (-2,-2) after a translation right 3 units and up 1 unit?
Answer:
(1,-1)
Step-by-step explanation:
Dan built a cubed shaped toy box of wood for his daughter. Each side of the toy box measures 2feet. How much wood did Dan use to build the toy box?
Answer:
12 feet is what i believe is the answer
Step-by-step explanation:
Brainleist :)
i will mark the brainliest 100 points
Answer:
4 squared is 16 so 16 times 3.14= 50.24
Step-by-step explanation:
Answer:
4^2 = 16
16 x 3.14 = 50.24 in2
Step-by-step explanation:
Formula of area of a circle:
π x r^2(radius being squared)
To make it more easier:
3.14 or 22/7 x radius^2
Some keywords:
Radius: Half of your diameter or given radius
Radius Squared: Your radius squared, your radius to the power of 2.
Pi: 3.14 or 22/7 depending on what they tell you to use for pi
What is the image of (2, 4) after a reflection over the x-axis?
if f (x) = ax+b , f(5) = 26 and f (2)=14 find value of a and b
Answer:
Hope it helps you:)
.....................
Which of the following is a point-slope equation of a line that passes through the points (-1, 4) and (8,-2)?
A. y-4= -3/2(x+1)
B. y-4= -2/3(x+1)
C. y-4= 2/3(x+1)
D. y-4= -2/3(x-1)
Answer:
B
Step-by-step explanation:
We want to find the point-slope equation of a line that passes through the points (-1, 4) and (8, -2).
Point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let's find the slope of the line first. We can use the slope formula:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{-2-4}{8-(-1)}=\frac{-6}{9}=-\frac{2}{3}[/tex]
We can choose (-1, 4) as our point. So, (x₁, y₁) = (-1, 4).
Substitute:
[tex]\displaystyle y-(4)=-\frac{2}{3}(x-(-1))[/tex]
Simplify:
[tex]\displaystyle y-4=-\frac{2}{3}(x+1)[/tex]
Therefore, our answer is B.