Answer:
sue = 12
lily = 10
heather = 5
Step-by-step explanation:
'l' = lily's age
'h' = heather's age
sue = 'l + 2' but, since 'l' is 2h we can say sue's age is '2h+2'
l = 2h
2h+2 + 2h + h = 27
5h = 25
h = 5
l = 2(5) = 10
sue is 10+ 2, or 12
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:
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.
What is the area of the triangle?
10
8
6
Answer:
10
Step-by-step explanation:
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.
The book fair sold 60% of the books
donated to the book fair. They sold
72 books. How many books were
donated in all?
Answer:
120 Books
Step-by-step explanation:
60% of 120 is 72
what is 13 over 4 multiplied by 3 over 2
Answer:
so this is the correct answer right
Answer:
[tex]\frac{39}{8}[/tex]
Step-by-step explanation:
Multiply the numerators: [tex]13*3= 39[/tex]
Multiply the denominators: [tex]4*2=8[/tex]
Final answer: [tex]\frac{39}{8}[/tex]
It is in simplest form, by the way.
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
please help. It’s due tomorrow.
Answer:
It is assumed you need to find the area of shaded region.Results rounded to the nearest hundredth.#1
Shaded area:
A = 32² - 16*π*(32/8)² = 219.75 cm²#2
Shaded area:
A = π*2² - 2*π*(2/2)² = 6.28 cm²219.75cm²
3.14cm²
Answer:
Solution given:
1.
[r]radius of each circle =32/8=4cm
[l]length of square=32cm
Area of shaded region =area of square- area of 16 circle=l²-11*πr²=32²-16*π*4²=219.75cm²
Step-by-step explanation:
radius for big circle [R]=2cm
radius for small circle [r]=1cm
area of shaded region=area of big semi circle -2 area of semi small circle
=½πR²-2*½πr²
=½*π*2²-π*1²
=2π-π
=π=3.14cm²
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.
what is the answer to −5/12−3/10
Answer:
The answer is -0.71666666666 in decimal form.
In fraction form it is -43/60.
Step-by-step explanation:
pliss give me the aswer
Answer:
AA
Step-by-step explanation:
AA
Answer:
15+ 8d
After d day,she has read 15 +8d pages
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]
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
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!
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
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 :)
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°
[tex] {x}^{2} + 16x + 10 = 0[/tex]Split the middle term.
(7x-3y)/(y-2x) = -(3/5).
Find the value of x/y.
Answer:
x = 12 y y = 29x
29 12
Step-by-step explanation:
Arrange the matrices in increasing order of their determinant values.
Answer:
c, a, b
Step-by-step explanation:
Given
See attachment for matrices
(a)
[tex]D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)[/tex]
[tex]|D | = \cos^2\theta + \sin^2\theta[/tex]
Using trigonometry ratio, we have:
[tex]|D | = 1[/tex]
(b)
[tex]\left[\begin{array}{ccc}2&0\\0&2\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D| = 2 * 2 - 0 * 0[/tex]
[tex]|D| = 4 - 0[/tex]
[tex]|D| = 4[/tex]
(c)
[tex]\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right][/tex]
The determinant of the matrix is:
[tex]|D| = 0 * 0 -(-i * i)[/tex]
[tex]|D| = 0 +i^2[/tex]
[tex]|D| = i^2[/tex]
In complex numbers
[tex]i^2 = -1[/tex]
So:
[tex]|D| = -1[/tex]
So, the order of the determinants is: c, a, b
Jake draws A POR on the coordinate plane
A. 20.13 units
B. 19.42 unit
C. 18.71units
D. 18 units
Please help!!!!!!
BRainliest.
Answer:
4.974
Step-by-step explanation:
will give brainlist, pls help lol
Answer:
D, 144
Step-by-step explanation:
Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.
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
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))
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:
Find the area of the figure below
Answer:
the answer 240
Step-by-step explanation:
times 24 and 10 to get 240 m
x) sec’A + cosec?A
secA. cosecA
Answer:
(Sin A + Cos A)/Sin A. Cos A
Step-by-step explanation:
As we know
Sec A = 1/Cos A
and Cosec A = 1/Sin A
Given Equation
Sec A + Cosec A
Substituting the given values, we get -
1/cos A + 1/Sin A
(Sin A + Cos A)/Sin A. Cos A
please help i give all my points
where is the drip at?
round your answer to the nearest hundredth
Answer:
hi
Step-by-step explanation:
To round a number to the nearest hundredth , look at the next place value to the right (the thousandths this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredths place, and then remove all the digits to the right.
Answer:
Step-by-step explanation:
let the missing angle be x
take 65 degree as reference angle
use tan rule
tan 65=opposite/adjacent
2.14=x/7
2.14*7=x
14.98=x