9514 1404 393
Answer:
k = 2
Step-by-step explanation:
All of the triangles are similar, so the ratio of short side to long side is the same for all.
4/8 = k/4
k = 16/8 = 2 . . . . multiply by 4 and simplify
The value of k is 2.
_____
Additional comment
By similar reasoning or by the Pythagorean theorem, ...
l = √20 = 2√5
m = √80 = 4√5
HELP PLEASE
find the area of the polygon with the given vertices P(1,1), Q(-2,1), R(-1,-4)
Answer:
Area = 7.5
Step-by-step explanation:
The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
Given the triangle with vertices P(1,1), Q(-2,1), R(-1,-4)
Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
By using this formula
PQ = 3 , QR = 5.099 and PR = 5.385
Now,
The area of a triangle with all three sides is given by
A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2
So,
S = (3 + 5.099 + 5.385)/2 = 6.742
Now,
A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]
A = 7.499 ≈ 7.5
Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".
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Holly bought a magazine subscription for a year. She paid $27. Holly wanted to find the price, p, of the subscription each month. She created the model shown to help find this price. 27 р |р |р |р |р |р |р |р | Р | Р |р | p What was the price of the subscription each month? F $39.00 G $2.25 H $324.00 3 $22.50
Answer:
2.25 should be the right answer
simplify the expression -3/8(-4y+z)
Answer:
3/2y-3/8z
Step-by-step explanation:
-3/8(-4y)-3/8z
Am not sure what this answer is
Answer:
100 pieces
Step-by-step explanation:
11/220 = 5/x
1100=11x
x=100
I need to know where to place the dot
Answer:
in your but
Step-by-step explanation:
nah jk its 3,-3
What is the slope of the line graphed on the coordinate plane?
Answer:
3/4 slope
Step-by-step explanation:
Mark me brainleist please ;c
don’t make me cry ;c
Step-by-step explanation:
When the line moves up 3 blocks, it also moves across 4 blocks.
Therefore the slope of the line is 3/4.
A bookstore pays $28 for a copy of a
textbook. The bookstore sells the textbook
for $42. What is the percent markup on the
textbook?
F 14%
G 33%
H 50%
3 67%
Answer: H - 50%
Step-by-step explanation:
The percentage markup on the textbook on the given percentage will be 50%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Cost of a textbook = $28
Selling price = $42
% markup = (42 - 28)/28 x 100 = 50%
Hence "The percentage markup on the textbook on the given percentage will be 50%".
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Please answer quickly, thanks. :)
Answer:
11 cars/day
Step-by-step explanation:
What we know:
After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.
Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.
I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.
Plz help. Will give brainliest for the best answer
Answer:
17.3
Step-by-step explanation:
You use sine and use SOH of SOHCAHTOA. Plug in sin(25)=o/41. Do sin(25) times 41 to find o. Hope this helps.
Hello' I'm trying again because I really need help. If you can show the steps that is always appreciated but if not that's okay too! I just need an answer ty^^
(Please don't answer with anything random just for the points)
Answer:
Factored Form: f(x) = (x-7)(x-4)
Roots: x=7, x=4
Step-by-step explanation:
What we can do here is break the given expression into groups;
x^2-11x+28 ---> break the expression into groups
(x^2-4x) +(-7x+ 28) ---> factor out x from x^2-4x
x(x-4) + (-7x +28) ---> factor - 7 from -7x +28
x(x-4) -7(x-4) ---> combine
(x-7)(x-4)
so if f(x) = (x-7)(x-4) then the roots would be x=7 and x=4
Answer:
ñanamaisañia thanks for points
BRAINLIEST! Write an equation that is true when x is equal to -5, 4, or 0 and for no other values of x , and where one side of the equation is a 4th degree polynomial. (Look at graph for more info)
Answer:
y = x^3 + x^2 − 20x
Step-by-step explanation:
Find the factors from the roots, then multiply the factors together.
f(x) = x³ + x² − 20x that is equation when x is equal to -5, 4, or 0 and for no other values of x.
What is polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Given that
f(x) = (x + 5)(x - 4)(x)
Multiply the factors together.
f(x) = (x + 5)(x² - 4x)
we have to open the brackets above
f(x) = x³ - 4x² + 5x² - 20x
Rearrange the likewise terms and apply the arithmetic operations,
f(x) = x³ + x² − 20x
This equation is true when x is equal to -5, 4, or 0 and for no other values of x.
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Help me pls ! if you do l give you the brainiest
The two expressions in answer A are equivalent with each other.
The temperature is 2 ∘F and drops to −15 ∘F overnight. Write and then evaluate a subtraction expression to determine the temperature change.
Enter the correct answers in the boxes.
Expression:
a
Temperature change:
∘F
Sam calls a friend to get help with his math homework. Which instructions would best help Sam solve the inequality shown below? 15 3/4 < -2 + x
F. Add 15 3/4 to both sides of the inequality.
G. Subtract 2 from both sides of the inequality.
H. Add 2 to both sides of the inequality.
J. Subtract 15 3/4 from both sides of the inequality.
A store has a video game rewards program. The fee to join the program is $10 plus $3 per week. Which equation can be used to find y, the total cost that Mark will spend to join the rewards program after x weeks?
a
y = 10x + 3
b
y = 3x + 10
c
y = 3x +12
d
y = 12x + 10
PLEASE I WILL GIVE BRAINLIEST
Write the SLOPE INTERCEPT form of a line that passes through point A at (4,-3) and point B at (2,1)
Answer:
y = -2x + 5
Step-by-step explanation:
A(4, -3) ; B(2, 1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{1-[-3]}{2-4}\\\\= \frac{1+3}{2-4}\\\\= \frac{4}{-2}\\\\= -2[/tex]
m = -2 ; A(4,-3)
[tex]y - y_{1}=m(x-x_{1})\\\\y -[-3] = (-2)(x - 4)\\\\y + 3 = -2*x -4 *(-2)\\\\y + 3 = -2x + 8\\\\ y = -2x + 8 - 3 \\\\ y = -2x + 5[/tex]
Garret paid 20$ for five movie tickets find the cost per ticket
Megan paid 22$ for 7 books determine the cost per book
Answer:
Step-by-step explanation:
Cost of a ticket = Total cost ÷ number of tickets
= 20 ÷ 5
= $ 4
2) Cost of 7 books = $ 22
Cost of a book = 22 ÷ 7
= $ 3.11
Answer:
4 dollars each for 1st question and 3.1 dollars for second question
Sam is buying music online. He can download 48 songs in 3 minutes. How many minutes will it take to download 128 songs?
Answer:
8 minutes
Step-by-step explanation:
48/3 = 16
That means he can download 16 songs in 1 minute.
128/16 = 8
This means he takes 8 minutes to download 128 songs.
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dysodjd kfudoandudslfhsotn
Where is the blue dot on the number line?
Answer: The blue dot is -2.1
please help which one of these answers is it?
Answer:
[tex] m\angle ABC = 35\degree [/tex]
Step-by-step explanation:
(3x - 70)° = x° (corresponding angles)
3x - 70 = x
3x - x = 70
2x = 70
x = 70/2
x = 35
[tex]
m\angle ABC = (3x - 70)\degree \\\\
m\angle ABC = (3\times 35- 70)\degree \\\\
m\angle ABC = (105- 70)\degree \\\\
\huge\red {\boxed{m\angle ABC = 35\degree }} \\\\[/tex]
What could be the value of x in the number sentence? 6 + x < 10
Answer:
the answer is 3 or less dhevvshsbdvdd
One-half of a cake is divided equally among 4 people at a party. What
fraction of the cake
Answer:
1/8
Step-by-step explanation:
One half of the cake is four slices, and the entire cake (if it was all there) would be 8 slices. For the four slices to be distributed equally among the four people, each person gets 1 slice. 1 slice out of the 8 total in the cake would be 1/8 of the whole.
Answer:
Each person will get 1/8 of the whole cake but 1/4 of half of the cake.
Step-by-step explanation:
Since the cake is cut in half and then in fourths, you need to multiply 1/4 by 1/2 and get 1/8.
A jeweler uses 5.2 ounces of gold inside of a ring and 2.5 ounces to decorate it. If the jewelery has 42.35 ounces of gold, what is the greatest number of rings that can be made?
Answer:
5.5 rings
Step-by-step explanation:
Now I don't really know if this is right but to get the answer we need to know how much ounces of gold the jeweler need to make a ring and that would be 7.7 ounces of gold. Than divide 42.35 ounce by 7.7 ounces which would get you 5.5 ounces. Hopefully this helped :)
Answer:
5 rings
Step-by-step explanation:
Hope this helps
A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
?:(
Answer:
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
Step-by-step explanation:
According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:
[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:
[tex]x_{B} = 1.25\cdot (14)[/tex]
[tex]x_{B} = 17.5[/tex]
[tex]y_{B} = 0.75\cdot (21)[/tex]
[tex]y_{B} = 15.75[/tex]
From (2):
[tex]m = \frac{15.75-21}{17.5-14}[/tex]
[tex]m = -\frac{3}{2}[/tex]
By (1):
[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
What’s the answer I need help!!
Answer:
150
Step-by-step explanation:
add three x plus 30 get 30 then add 6y plus 120 and get 120 add them and get 150
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
x = 97
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Define
We are given a right triangle. We can use PT to solve for the missing side length.
Step 2: Identify Variables
Leg a = 72
Leg b = 65
Hypotenuse c = x
Step 3: Solve for x
Substitute [PT]: 72² + 65² = x²Exponents: 5184 + 4225 = x²Add: 9409 = x²Isolate x: 97 = xRewrite: x = 97please help me, this isn't a test or quiz I just need some help.
the right is answer is B) alternate exterior
Aditi can walk 1.7 miles in half an hour. At the same constant speed, how many hours would it take her to walk 17 miles?
Answer:
It takes aditi 5 hours to walk 17 miles.
Step-by-step explanation:
First, find her speed in miles per hour.
1.7 miles in half an hour.
1.7 * 2 = 3.4
3.4 miles per hour.
To find the time, use the distance formula.
Distance = rate * time
17 = 3.4 * time
17/3.4 = time
5 = time
An invested sum of $600000 to generate simple interest $3.9000 at 3 (whole number) 1/4% per annum if you don't know please don't answer
Answer:
20 years
Step-by-step explanation:
We can find the time it took to invest
Using the formula for calculating simple interest as shown
SI = PRT/100
Given
Principal P = $600,000
SI = $39,000
Rate R = 3 1/4%
Required
Time
Substitute
39,000 = 600,000*13/400 * T
39,000 * 400 = 600,000*13 * T
15,600,000 = 7,800,000T
T = 15,600,000/7,800,000
T = 20
Hence it took 20years for the sum invested to generate the interest