Ok, so
Let me draw both triangles here below:
We know that two triangles are similar if there's a ratio in their sides.
In this case, we have a ratio of 2/3
Now, the ratio for the areas will be equal if we elevate the sides to the square. I mean,
We have a ratio of 2:3, so the ratio for the areas is the same for 2²:3², which is 4:9
Now, we can stablish a relation with the area that we know:
So, the area of the triangle DEF is 2.67in²
The question is in the picture.
Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16
A bag contains 4 red marbles, 3 blue marbles, and 3 yellow marbles. Match each statement with the correct value.
Answer:
The total number of marbles is 10, the number of blue marbles is 3, and the red marbles are 4.
Step-by-step explanation:
have a nice day.
The amount you pay for a car is not usually the "sticker price," which may be the starting price. The price of a car was reduced by $300 from the sticker price, increased by $900 for additional features, and then reduced by $600 by the dealer. What integer represents the total change in price with respect to the sticker price? Use a number line to represent the change from the sticker price.
There will be no change in the price of the car.
What is a number line?A number line is a representation of a graduated straight line used to abstract real numbers in elementary mathematics. Its points are considered to correspond to real numbers and vice versa.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Let the sticker price = x, Price reduced by $300
Hence the new price is,
N= x-$300
The cost of additional features = $900
Hence the new price for selling will be.
=x-$300+$900
=x+$600
Dealer also provides a discount of $600
Hence Final selling price will be
=x+$600-$600
Hence there seems to be no change in the sticker price as the sticker price and the final selling price are the same.
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Based on the supply graph and the demand graph shown above, what is the price at the point of equilibrium?
Hint: Think about the point where they both meet. For example, if you were to place the graphs on top of each other, what would be the point of intersection?
Type the correct number below without the dollar sign.
Based on the supply graph and demand graph shown above, the price at the point of equilibrium is $ 30.
Demand refers to quantity of a commodity that the consumers are willing to, able to purchase at a given price during a given period of time. Supply refers to quantity of a commodity that the producers are willing to, able to offer for sale at a given price during a given period of time.
Demand curve slopes downward due to inverse relationship between price and quantity demanded whereas supply curve slopes upward due to direct relationship between quantity supplied and price. When both demand and supply curve intersect with each other balance is achieved. Intersection point between demand and supply curve is known as equilibrium.
At this point when prices are equal is known as equilibrium price and when quantiy demanded or supplied are equal it is known as equilibrium quantity. When we combine the given graph. Equilibrium is achieved at a point when price is equal to $ 30 and quantity is equal to 20 units.
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Please help. I gotta show my work to-
Answer:
Answer below.
Step-by-step explanation:
1. a + 19 | 10 + (a + 9) = a + 19
10 + 9 = 19
a + 19
_____________________________
2. (C + 2/3) + 1/2 = C + 7/6
2/3 = 4/6
1/2 = 3/6
4/6 + 3/6 = 7/6
C + 7/6
______________________________________
3. 5 (4n) = 20n
5 x 4n = 20n
A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is a dimension of the parking lot?
By solving a system of equations, we will see that the parking lot is 210ft by 200ft.
How to get the dimensions of the parking lot?For a rectangle of length L and width W, the perimeter is:
P = 2*(L + W)
And the area is:
A = L*W
Here we know that the perimeter is 820 ft and the area is 42,000 ft²
Then we can write the two equations (ignoring units).
820 = 2*(L + W)
42,000 = L*W
We can isolate L in the first equation to get:
820/2 = L + W
410 - W = L
Now we can replace that in the other equation:
42,000 = (410 - W)*W = 410*W - W^2
Now we want to solve the quadratic equation:
-W^2 + 410*W - 42,000 = 0
The solutions are given by:
\(W = \frac{-410 \pm \sqrt{410^2 - 4*(-1)*(-42000)} }{-2} \\\\W = \frac{-410 \pm 10 }{-2}\)
Then the solutions are:
W = (-410 + 10)/(-2) = 200
W = (-410 - 10)/2 = 210
If we take W = 200, then:
L = 410 - W = 410 - 200 = 210
So we can conclude that the parking lot is 200ft by 210ft.
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Answer: C, 210 ft
Step-by-step explanation: edge :)
1) Madison went shopping and spent $125 she paid $45 in Texas what was the sale tax rate (percent)
Answer:
170
Step-by-step explanation:
How the sales tax de-calculator works
Step 1: take the total price and divide it by one plus the tax rate.
Step 2: multiply the result from step one by the tax rate to get the dollars of tax.
Step 3: subtract the dollars of tax from step 2 from the total price.
Pre-Tax Price = TP – [(TP / (1 + r) x r]
TP = Total Price.
Fill in the blanks below.
Find the slope of the line passing through the points (6, 4) and (6, -7).
slope:
Find the slope of the line passing through the points (-9,-5) and (-9, 5).
slope:
The entered points (6,4) and (6,-7) belong to a vertical line, There is no slope and The entered points (-9,-5) and (-9,5)belong to a vertical line. There is no slope.
How to find slope of the coordinates ?The slope, which is essentially how slanted a line is, might be positive, negative, zero, or both (x1,y1) and (x2,y2). The slope equation is (y2 - y1) / (x2 - x1). A vertical line is formed by the points entered. Nothing slopes.Formula: x = 6.
Angle (θ)=90°
Location (d) = 11
(x)=0 Distance between x's
d = (y2 + x2) = (-112 + 02) = 121 = 11 is the distance between y's (y)=11.
A vertical line is formed by the points entered. Nothing slopes.Formula: x = -9.
Location (d) = 10
(x)=0 Distance between x's
Distance between y's (d) = y2 + x2 = 102 + 02 = 100 = 10
A vertical line, on the other hand, will have an ill-defined slope since the x-coordinates are constant. As a result, there will be a division-by-zero error when using the formula.To more learn about coordinates refers to:
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Plot 5 in the complex plane.
answer is there a photo or something we can see
Step-by-step explanation:
because just saying plot 5 doesn't make sense so we probably need a photo or more information
Help Please please please please !
Step-by-step explanation:
b.
The sum of two opposite interior angles equals one exterior angle
111°=60°+‹G
‹G=111°-60°=51°
c.
We use the same property above
3x+4x+5=68°
7x=68-5
7x=63
x=63/7=9
‹D=4(9)+5
‹D=41°
what is AE
AB=10
AE=2a + 10
ED=x + 3
CD=4
Enter you answer In the box
The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.
To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.
Given:
AB = 10
AE = 2a + 10
ED = x + 3
CD = 4
Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.
We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.
AE + ED = 6.
Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.
To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:
AE = 6 - x - 3.
Simplifying further, we get;
AE = 3 - x.
Therefore, the value of AE is 3 - x.
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A quality control manager is concerned about variability of the net weight of his company’s individual yogurt cups. To check the consistency, he takes a random sample of sixteen 6-ounce yogurt cups and finds the mean of the sampled weights to be 5.85 ounces and the sample standard deviation to be 0.2 ounce.
Requried:
a. Test the hypotheses H0: µ ≥ 6 Ha: µ < 6 at the 5% level of significance. Assume the population of yogurt-cup net weights is approximately normally distributed.
b. Based on the results of the test, will the manager be satisfied that the company is not under-filling its cups?
c. State the decision rule, the test statistic, and the manager’s decision.
Answer:
H₀ should be rejected, yogurt cups are under-filling, the manager has to check the process
Step-by-step explanation:
Normal distribution and n < 30. We must use t-student test.
a) If it is required to test H₀ μ >= 6 Hₐ μ < 6 is a one tail test (left-tail)
At α = 5 % α = 0,05 and n = 16 then degree of freedom is n -1
df = 15 find t(c) = - 1,753
μ = 5,85 and s = 0,2 ( sample mean and standard deviation respectevily)
T compute t(s)
t(s) = ( μ - μ₀ ) / s/√n
t(s) = ( 5,85 - 6 ) /0,2/√16
t(s) = - 0,15*4/0,2
t(s) = - 3
t(s) < t(c) -3 < - 1,753
Then t(s) is in the rejection region we reject H₀. There is enough evidence to claim the yogurt cups are under-filling.
Manager has to check on the process
A student bikes 5000 m East to school in 30.0 min (1800 seconds), realizes he forgot his calculator for physics, spends 30.0 min (1800 seconds) going back going home, and then races back to school in 27.0 minutes (1620 seconds).
What is the student’s total distance traveled?
_______ meters
The number of seconds it took the student to travel back and forth is ________
seconds.
Determine the student’s average speed. ________
m/s
The total distance covered is 15000 m. The total time taken is 5220 seconds and the speed is 2.87 m/s.
What is the speed?We know that speed has to do with the ratio of the distance that has been covered to the time taken. The speed is a scalar quantity and as such we do not consider the direction hence we would not consider that going back in the opposite direction. The total distance can be obtained algebraically.
The total distance that the student travelled can be obtained from;
5000 m + 5000 m + 5000 m
= 15000 m
The total time taken in seconds = 1800 seconds + 1800 seconds + 1620 seconds
= 5220 second
Speed = Distance/ Time
= 15000 m/5220 second
= 2.87 m/s
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A motorcycle engine is 600 cubic centimeters (600 cc). If 1 cm3 equals 1 mL of volume, how many liters are in the motorcycle engine? (Note: 1,000 mL = 1 L.)
Answer: motorcycle engine capacity = 0.6 L
Step-by-step explanation:
i did the assignment on edge...it is correct.
Have a great day ya'll!!
Answer:
0.6L
Step-by-step explanation:
did it on edge 2020 chemistry assignment
3
Johnny has been hired to draw a mural on the window of the pet store. The scale drawing he is using is shown below.
4.5 cm
6 cm
If 1 centimeter represents 10 inches on the mural, what is the actual height and width of the hamster that he will be drawing on the
mural?
OA.
66 in by 49.5 in
ОВ.
90 in by 120 in
Od
6 in by 4.5 in
OD. 60 in by 45 in
Answer:
OD 60 in by 45 in
Step-by-step explanation:
HELP ME PLEASE!
Mr. Martinez sells vehicles to 20% of the people that come to the dealership. If 65 people came to the dealership last month, how many vehicles did he sell?
Answer:
13 vehicles
Step-by-step explanation:
Just solve 20% of 65. "Of" means to multiply, and 20% is just 0.2
So, you would do:
0.2 × 65 = 13 vehicles
Solve for w.
w − 5
4
= 2
The value of the variable w is 56
What are algebraic expressions?Algebraic expressions are described as expressions that are composed of terms, variables, factors, coefficients and constants.
Also, algebraic expressions are made up of mathematical or arithmetic operations, such as;
AdditionBracketSubtractionParenthesesMultiplicationDivisionFrom the information given, we have the algebraic equation as;
w - 54 = 2
To determine the value of the variable, we take the steps;
collect the like terms
w = 2 + 54
Now, add the values
w = 56
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EXREAMLY URGENT!! WILL FOREVER THANK YOU!!!! PLS JUST TAKE A LOOK!!!!! 1. What is the ratio of the sides of triangle XYZ?
Answer:
Dear Laura Ramirez
Answer to your query is provided below
The ratio of triangle XYZ is 1:√3 :2.
Step-by-step explanation:
A 30-60-90 right triangle (literally pronounced "thirty sixty ninety") is a special type of right triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The triangle is significant because the sides exist in an easy-to-remember ratio: 1:√3 :2.
EMERGENCY HELP PLEASE
Answer:
11x+21
Step-by-step explanation:
blue square= x squared
green square=3x
pink square=7x
orange square=21
=
11x+21
7.
If one United States dollar is worth $6.46 in yen (Chinese currency) in Euro money,
how much is $100 in Yen worth in United States money, to the nearest cent?
Answer:
$15.48
Explanation:
100 ÷ 6.46 = 15.479876
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
NO LINKS!!! URGENT HELP PLEASE!!!
Express the statement as an inequality.
a. x is negative
1. x = 0
2. x < 0
3. x > 0
4. x ≥ 0
5. x ≤ 0
b. y is nonnegative .
1. y < 0
2. y ≥ 0
3. y ≤ 0
4. y = 0
5. y > 0
c. q is less than or equal to π
1. q = π
2. q < π
3. q > π
4. q ≥ π
5. q ≤ π
Answer:
Step-by-step explanation:
a. x is negative: x < 0
b. y is nonnegative: y ≥ 0
c. q is less than or equal to π: q ≤ π
Answer:
a.
2. x < 0
b.
2. y ≥ 0
c.
5. q ≤ π
Step-by-step explanation:
To express the given statements as an inequality, we need to determine the relationship between the given quantities.
a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.
b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.
c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.
N
50°
AOMN~ ARPQ
Find 0.
M
Ө
0 = [?]°
<
P
70°
R
Answer:
60°
Step-by-step explanation:
In similar triangles, the corresponding angles are congruent.
∠O = R
O = 70°
In ΔOMN,
∠O + ∠M + ∠N = 180 {Angle sum property of triangle}
70 + 50 + Ф = 180
120 + Ф = 180
Subtract 120 from both sides,
Ф = 180 - 120
Ф = 60°
Solve the equation. Please help
\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)
-8x-2y=6 write in slope intercept form
Answer:
y = -4x -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Slope intercept form is y=mx+b
-8x-2y=6 add 8x to both sides
-2y=8x+6 divide both sides by -2
y=-4x-3
Pippin went to a game room that charged $4 admission, plus $0. 25 per token. The equation which represents his total cost is y = 0. 25x + 4. What are the ordered pairs for the equation when you use these x-values: 5, 10, 20?.
Answer:
5 = $ 5.25. 10= $ 6.50. 20= $9.00
Step-by-step explanation:
if this is wrong you can completely write me a really rude email or message or something
Find the slope of the line, if it is defined. Graph the line.2) Through (2, -6) and (-1,9)
Problem
Find the slope of the line, if it is defined. Graph the line.
2) Through (2, -6) and (-1,9)
Solution
For this case the slope is given by:
\(m=\frac{y_2-y_1}{x_2-x_1}\)And replacing we got:
\(m=\frac{9+6}{-1-2}=-5\)The general equation for a line is given by:
y= mx+b
Since we have m=-5 we can find b using a point for example x=2 and y=-6
-6= -5(2) +b
And solving for b we got:
b= -6+ 10=4
And our equation would be given by:
y= -5x +4
Finally we can create the graph like this:
can anyone answer this?
Answer:
yes d
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Please I need help with this
Which of the following word problems can be solved using the equation 4(x + 8) = 40?
A A square has a side length of x inches. Each side of the square will be increased by 8 inches to create a larger square. If the larger square has a perimeter of
40 inches, what is the side length, in inches, of the original square?
B Oscar has 8 stacks of trading cards. Each stack originally has x trading cards. He adds 4 cards to each stack giving him a total of 40 trading cards. How many
trading cards did Oscar originally have?
C Four friends share a box of cookies. After each friend receives x cookies, there are still 8 cookies left in the box. If there were initially 40 cookies in the box, how
many cookies did each friend receive?
D A student has four bags of marbles. Each bag originally has x marbles. After taking out 8 marbles from each bag, there is a total of 40 marbles in the bags.
How many marbles were originally in each bag?
Please help!!!!!!!!
Answer:
the answer is a because ots increased by 8 inches