Answer:
A = 864 m^2
Step-by-step explanation:
For a rectangle of length L and width W, the area is given by:
A = W*L
We know that the park has:
L = 60m
W = 40m
Now, if we surround the whole park with a path that is 4m wide, then the rectangle made by the park and the path has the dimensions:
L' = 60m + 2*4m
W' = 40m + 2*4m
(as you can see in the sketch at the end)
The area of the path will be equal to the difference between the area of the rectangle made of the park + the path, and the area of the park alone.
This is:
A = L'*W' - *W
A = ( 60m + 2*4m)*(40m + 2*4m) - 60m*40m
A = 68m*48m - 60m*40m
A = 864 m^2
How do I solve 6/10 = x/15
Answer:
the answer is 9
Step-by-step explanation:
6/10=x/15
10x=90
x=9
What is the product of 3.8\times 10^23.8×10
2
and 6.4 \times 10^66.4×10
6
expressed in scientific notation?
Answer:
2.432 * 10⁹
Step-by-step explanation:
Given the expression;
3.8*10² × 6.4*10⁶
= (3.8*6.4)× (10²*10⁶)
= 24.32*10⁸
= 2.432* 10¹ * 10⁸
= 2.432 * 10⁹
Hence the product expressed as a scientific notation is 2.432 * 10⁹
Please give me a detailed step by step explanation of how to solve y ≥ 5.
♣ explanation ♣
--------------------------------------------------------------------------------------
It may seem crazy that the value of Y > 5 can be anything, but it can be. Y greater than 5 basically means that Y is any number over 5 and has no exact value.
--------------------------------------------------------------------------------------
Remember, Y is a variable!
True or False
3 is a factor of n(n + 2)(n − 1) by mathematical induction.
Explain why.
Answer:
false
Step-by-step explanation:
this beacuse when is times with the base that shows the product thats the factor
If your inequality has these signs, will you have an Opened or Closed circle on your number line graph? > or <
Answer:
it will be opened but if it's for the < and > with a line underneath each of them, the circle with be closed
Find the slope of the line that crosses through the points (-2, 5) and (-5, -4)
Answer:
umm i believe it is positive 5
Step-by-step explanation:
i hope i helped
What is the area of the triangle?
10
8
6
Answer:
10
Step-by-step explanation:
A girl works a basic week of 40 hours and her basic rate is $6.25 per hour. Calculate her basic wage for the week
Answer:
$250
Step-by-step explanation:
To find the total multiply 6.25 and 40 together
6.25x40
$250 (Don't forget the dollar sign)
Answer:
250
Step-by-step explanation:
If she work 40 hours and earns $6.25 per hour for 40 hours you multiply howmuch she makes by the amunt of time she worked, so 6.25x40 = 250
Help please! Using the Counting Principle, determine how many outcomes are possible.
A car comes in 7 different colors, 4 different interior packages, and 4 different tire types.
Answer:
112
Step-by-step explanation:
7 x 4 x 4 = 112
112 unique outcomes
How many blocks having 2m² volume of each are there in a wall having volume 600m³?
9514 1404 393
Answer:
300 blocks
Step-by-step explanation:
The number of blocks is ...
(600 m³)/(2 m³/block) = 600/2 blocks = 300 blocks
A backpack normally costs $25 but it is on scale for $16.25. What percentage is on discount? Please help, I have a test rn:((
Answer: 16%
Step-by-step explanation:
$25 - $21 = $4
Percentage = 100[discount / (original price)] % = 100($4 / $25) % = 16%
Niall has half dollar mary has a tenth of a dollar and jack has a hundredth of a dollar if they combine their money do the 4 students have more or less than a dollar
Answer: Students have less than a dollar.
Step-by-step explanation:
Niall has $1/2
Mary has $1/10
Jack has $1/100
Add these up to see if they reach 1.
= 1/2 + 1/10 + 1/100
Convert to decimals by dividing the numerator by the denominator:
= 0.5 + 0.1 + 0.01
= $0.61
Students have less than a dollar.
The dimensions of two square pyramids formed of sand are shown. How much more sand is in the pyramid with the greater volume?
Answer:
Answer: There is 32in² more sand in the pyramid with greater volume.
step explanation:
hi pls help i’ll give brainliest
Answer:
At the very tip of one of the spiral arms, at the edge of the milky way.
OR C
Forgive me if i'm wrong
...
Answer:
C. In one of the spiral arms, about halfway between the center and the edge.
Step-by-step explanation:
Our solar system is located in the Orion Arm which is halfway between the center and the edge of the Milky Way.
40:√100 + √9.√36
????
Answer:
28
Step-by-step explanation:
[tex]\sqrt{100} + (\sqrt{9} \cdot \sqrt{36}) = 10 + (3 \cdot 6) = 10 + 18 = 28[/tex]
What are the angles labeled ?
Answer:
90° angle
Step-by-step explanation:
Every time you see an angle that has a box, it measures 90°
Maggie has 7 bills, all tens and twenties, that
total $100 in value. Find the number of tens, x, and
the number of twenties, y, that Maggie has.
Answer:
4 tens, 3 twenties
Step-by-step explanation:
4 tens ($40) and 3 ($60) twenties work. I’m sorry I don’t have a formula for it though.
Which fraction is equal to 7/-9? A. -7/9 B. -7/-9 C. 7/--9 D. --7/9
Answer:
A = -7/9
Step-by-step explanation:
7 / -9
Move the negative to the top
-7 / 9
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\text{A) }\frac{-7}{9}[/tex]
»»————- ★ ————-««
Here’s why:
We can apply the rules for products and quotients of values with different signs. If the signs of two numbers are the same, then the product/quotient would be positive. If the signs are different, the sign of the product/quotient would be negative.⸻⸻⸻⸻ [tex]\boxed{\text{Equivalent Faction}}\\\\\rightarrow \frac{7}{-9}= -0.77777...... \leftarrow\\\\------------\\\text{Option A: } \frac{-7}{9} = -0.77777......\\\\\text{Option B: } \frac{-7}{-9}= 0.77777......\\\\\boxed{\text{Recall that if two numbers have the same sign then the product or quotient would be positive.}}\\\\\text{Option C: }\frac{7}{-(-9)}=\frac{7}{9} = 0.77777......\\\\\text{Option D: } \frac{-(-7)}{9}=\frac{7}{9} = 0.77777......[/tex]⸻⸻⸻⸻
Option A's fraction is equivalent.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A boat is traveling due North at 27mph. A current is flowing at a bearing of 60° west of south at 8mph. Find the actual speed and direction of the boat written in magnitude and direction form.
Answer: [tex]24.02\ mph[/tex]
Step-by-step explanation:
Given
Boat is traveling due to north at [tex]v_{bf}=27\ mph[/tex]
The current is flowing [tex]60^{\circ}[/tex] west of south at [tex]v_f=8\ mph[/tex]
Suppose the actual velocity of boat is [tex]\vec{v_b}[/tex]
In vector notation we can write
[tex]\Rightarrow \vec{v_{bf}}=\vec{v_b}-\vec{v_f}\\\\\Rightarrow \vec{v_b}=\vec{v_{bf}}+\vec{v_f}[/tex]
Flow of current can be written as
[tex]\Rightarrow \vec{v_f}=-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}[/tex]
Insert the values of vectors
[tex]\Rightarrow \vec{v_b}=27\hat{j}-8\sin 60^{\circ}\hat{i}-8\cos 60^{\circ}\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+27\hat{j}-4\hat{j}\\\\\Rightarrow \vec{v_b}=-4\sqrt{3}\hat{i}+23\hat{j}[/tex]
Magnitude of the velocity is
[tex]=\sqrt{(4\sqrt{3})^2+(23)^2}\\=\sqrt{48+529}\\=24.02\ mph[/tex]
The actual direction and magnitude of the velocity of the boat is the sum of
the velocity of the boat and the velocity of the current both in vector form.
The actual velocity and direction of the boat are approximately 24.02 m/s at a bearing of 16.76° west of north.Reasons:
Direction of the boat = North
Speed of the both = 27 mph
Direction of the current = 60° west of south
Speed of the current = 8 mph
Required:
The actual speed and direction of the boat written in magnitude and
direction.
Solution:
The velocities given in vector form are;
Velocity of the boat, [tex]\vec {v}_{boat}[/tex] = 27·j
60° west of south = 30° south of west
Therefore;
Velocity of the current, [tex]\vec{v}_{current}[/tex] = -8 × cos(30°)·i - 8×sin(30°)·j
The actual velocity of the boat, [tex]\vec{v}_{actual}[/tex] = [tex]\mathbf{\vec {v}_{boat}}[/tex] + [tex]\mathbf{\vec{v}_{current}}[/tex]
Which gives;
[tex]\vec{v}_{actual}[/tex] = 27·j - 8 × cos(30°)·i - 8 × sin(30°)·j
[tex]\vec{v}_{actual}[/tex] = 23·j - (4·√3)·i
Therefore;
[tex]\vec{v} _{actual}[/tex] = -(4·√3)·i + 23·j
Which gives;
[tex]|v_{actual}|[/tex] = √((-4·√3)² + 23²) = √(577) ≈ 24.02
The magnitude of the velocity of the boat, [tex]\mathbf{|v_{actual}|}[/tex] ≈ 24.02 m/s
The actual direction of the boat, θ, is given by the arctangent of the ratio
of the vertical to the horizontal component of the velocity as follows;
[tex]\displaystyle \theta = arctan \left(\frac{23}{-4 \cdot \sqrt{3} } \right) \approx \mathbf{-73.24^{\circ}}[/tex]
Based on the horizontal and vertical component, the above angle θ is
approximately 73.24° relative to the negative x-axis, which is 90° - 73.24° =
16.76° west of north.
Therefore;
The actual direction of the both is on a bearing of approximately 16.76° west of north.Learn more about vector quantities here:
https://brainly.com/question/1614684
People were surveyed about the types of pets they own and their housing situation. Each person has only one pet. For people who live in a condo, what is the relative frequency with which a person owns a cat?
Answer:
The answer is 6.3
Step-by-step explanation:
Simplify (3b^8b^-2)3
A mug can hold 15.38 oz of coffee without overflowing. The radius of the mug is 4 cm. Given that 1 cm3 equals approximately 0.034 oz, what is the height of the mug to the nearest centimeter?
A. 13 cm
B. 9 cm
C. 11 cm
D. 7 cm
Skyler has 20 comic books about the Avengers. He goes to the comic book
store and after he leaves, he now has 26 Avengers comics. What is Chris'
percent increase in Avenger comics? *
Answer:
6%
Step-by-step explanation:
Paloma opened a savings account with a deposit of $750. She earns 2% simple interest per year on the account. What will the total amount of money, in dollars, in palomas account after 1 year if there are no other deposits or withdrawals ?
Answer:
$765
Step-by-step explanation:
Given data
Principal= $750
Rate= 2%
Time= 1 year
The simple interest expression is given as
A=P(1+rt)
substitute
A= 750(1+0.02*1)
A= 750(1.02)
A= $765
Hence the final amount is $765
Answer quickly!!!!!!!!!!
Answer:
-4/5
Step-by-step explanation:
Rise over run helps, since the line is negative the slop will be to. Just pick a spot that is whole/on the dot, and rise/fall as down or up until the next spot that's whole, then you 'run' over to the point. (Ex. (0,0) (5,4))
the price of an errand as increased from $30 to $35 what is the percantage increased
Answer:
5%
Step-by-step explanation:
Give the most precise selection
for the quadrilateral with the
following vertices.
P(0,0), Q(0,2a), R(2a,2a), S(2a,0)
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
Answer:
Its definitley square to be precise so that's my answer, but its also a rhombus
Step-by-step explanation:
assuming a is 1, regardless, graph would always be square, which is a rhombus. hope square is correct :)
pliss give me the aswer
Answer:
AA
Step-by-step explanation:
AA
Answer:
15+ 8d
After d day,she has read 15 +8d pages
Whats the volume of this prism? PLEASE HELP I AM SO CLOSE TO FAILING.
Answer:
36 cubic inches
Step-by-step explanation:
The prism is literally just the front section twice. Find the area of the front and then add it to itself
An aquarium holds 11.13 cubic feet of water, and is 2.6 feet long and 1.9 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
2.25 feet deep
Step-by-step explanation:
The volume was given as (11.13 cubic feet)
Length as (2.6 feet)
Width as(1.9 feet)
Volume of triangular prism can be written as ( length × width × height)
Volume= ( length × width × height)
Then substitute the values, we have
11.13 = 2.6 × 1.9 × height
Height= 11.13/(2.6×1.9)
= 11.13/4.94
= 2.25 feet