Answer: 6
Step-by-step explanation:
The area of the triangle EDF is 6 in².
What are similar triangles?Two triangles are said to be similar if their corresponding angles are congruent, and their corresponding sides are in equal ratios.
Given that, two triangles are similar, ABC and EDF,
We know that, the area of two similar triangles implies that if two triangles are similar to each other, the ratio of their areas will be proportional to the square of their corresponding side ratios.
Therefore,
ar(ΔABC)/ar(ΔEDF) = (2/4)²
24/ar(ΔEDF) = 1/4
ar(ΔEDF) = 6
Hence, the area of the triangle EDF is 6 in².
Learn more about similar triangles, click;
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Melanie invested $3800 in an account paying in interest rate of 2 3/8% compounded quarterly Sebastian invested $3800 in an account paying in interest rate of 2 3/4% compounded monthly after 16 years how much more money with Sebastian have in his account then Melanie to the nearest dollar
Answer:
$317
Step-by-step explanation:
Formula for compound interest is;
A = P(1 + (r/n))^(nt)
For melanie;
P = $3800
r = 2⅜% = 0.02375
n = 12/4 = 3
t = 16 years
Thus;
A = 3800(1 + (0.02375/3))^(3 × 16))
A ≈ $5548
For Sébastien;
P = $3800
r = 2¾% = 0.0275
n = 12
t = 16
Thus;
A = 3800(1 + (0.0275/12))^(12 × 16))
A ≈ 5865
Difference between Sébastien and Melanie's final amount = $5865 - $5548 = $317
A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
A.
56 miles
B.
54 miles
C.
36 miles
D.
24 miles
Answer:
B 2/3
Step-by-step explanation:
:)
which angles are vertical to eachother
Answer:
∠1 and ∠4
Step-by-step explanation:
A square has a diagonal with the length of 8V7 inches. What is the length of the
sides?
Answer:
approximately 13.9 inches
Step-by-step explanation:
That's 8√6, not 8V7.
The four sides are of the same length (x). According to the Pythagorean Theorem, x² + x² = (diagonal length)² = (8√6)², or
2x² = 64(6) = 384
Dividing both sides by 2, we get:
x² = 192, or x² = 4(48). Then the side length is x = √16√12, or
x = 4√4√3 = 8√3. This is approximately 13.9 inches.
At a local restaurant, the amount of time that customers have to wait for their food is
normally distributed with a mean of 32 minutes and a standard deviation of 3
minutes. Using the empirical rule, determine the interval of minutes that the middle
99.7% of customers have to wait.
Answer:
.........................
Step-by-step explanation:
.................................................
Answer:
99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 18 minutes
Standard Deviation, σ = 3 minutes
We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.
Empirical Formula:
Almost all the data lies within three standard deviation from the mean for a normally distributed data.
About 68% of data lies within one standard deviation from the mean.
About 95% of data lies within two standard deviations of the mean.
About 99.7% of data lies within three standard deviation of the mean.
Thus, 99.7% of the customers have to wait:
`
Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
hope this helps
plz can i get brainliest:)
La suma del triple de un número y nueve veces el mismo número es igual a 120. Hallar el número. 3) Hallar el valor del número z sabiendo que la quinta parte de su tercera parte es igual a 3. 4) Andrés tiene seis veces la edad de Jaime aumentada en 18 e igualada a 36. Hallar la edad de Jaime.
Answer:
El primer número es 10.
z = 45.
La edad de Jaime es de 3 años.
Step-by-step explanation:
Estos problemas los podemos resolver planteando las ecuaciones:
El triple del número (3X) + 9 veces el mismo número (9X) = 120
3X + 9X = 120
12X = 120
X = 120 / 12
X = 10
El primer número es 10La quinta parte de z es z/5 la quinta parte de su tercera parte es (z/5)/3 = 3
z/15 = 3
z = 456Jaime + 18 = 36
6Jaime = 18
Jaime = 3
La edad de Jaime es de 3 añosThe China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. If the list price is $58.75, what is the trade discount? What is the net price?
Answer: See explanation
Step-by-step explanation:
Since the complement is the difference between 100% and discount rate. Since the China Company offers a trade-discount rate that is 4 times the complement of the trade-discount rate. Therefore, the discount rate will be 80% and the complement 20%.
Therefore, the trade discount will be:
= List price × Trade discount rate
= $58.75 × 80%
= $58.75 × 0.8
= $47
Net price = List price - Trade discount
= $58.75 - $47
= $11.75
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
x = 112
Step-by-step explanation:
1/8x + 2 = 16
Subtract 2 from both sides
1/8x = 14
Multiply both sides by 8
x = 112
Find the area of the figure
Answer:
40
Step-by-step explanation:
because 8 times 5 is 40
Answer:
49.82 cm²
Step-by-step explanation:
Answer attached..
Hope it helps ^_^
49
19) =
112
6
6) =
9
12
7) =
15
63
13) =
77
36
14) =
40
4
240
20) =
320
120
21) =
150
Answer: 120/21=40/7
49/19
240/20=12/1
36/14=18/7
63/13=63/13
12/7=12/7
6/6=1/1
Step-by-step explanation:
The tires of an automobile have a diameter of 22 inches. If the wheels revolve ten times, how
far does the automobile move? (Round the result to the nearest tenth of a foot.)
The answer to this would be really greattt
Answer:
270 cm2
Step-by-step explanation:
multiply the two triangles is 60
the rectangle on the left 35
rectangle on the bottom 84
rectangle on the top 91
i need help on this pls
Answer:
Hello!
1 on the left in vertical and 1 on the right is adjacent hope that helps.
2x - 42 = 94
Solve for x
Answer:
x = 68
Step-by-step explanation:
2x - 42 = 94
Use inverse operations to add 42 to both sides of the equation.
2x - 42 + 42 = 94 + 42
Simplify this to-
2x = 136
Now divide 2x and 136 by two for-
2x/2 = 136/2
Simplify.
x = 68
The answer, then, is x = 68.
I hope this helps ^^
Good luck :]
8÷2(2+2) This is 16 not 1
Step-by-step explanation:
8÷2(2+2) = 8.
2(2 + 2)
= 8.
4 + 4
= 8.
8
= 1
Answer:
using BODMAS
The answer is 1
Step-by-step explanation:
Bracket Order Division Multiplication Addition and Subtraction
Please answer correctly! I will mark you Brainliest!
Answer:
27
Step-by-step explanation:
V=a^3=3^3=27
HELP!!!! Put the following in order from greatest to least.
Answer:
A
Step-by-step explanation:
A = 9, 7, 5, -2, -6, -8
what number should come next in the pattern 1,2,3,5,8
The cookie-stacking competition is a tradition at Westhaven's annual summer festival, and Bert is helping to set it up this year. The first contestant who creates a single stack using all of their cookies wins a prize! After Bert split all the cookies he had evenly among 4 contestants, each contestant got 24 cookies.
Answer:
is this the full question?
Step-by-step explanation:
HELPP WORTH 30 Pts for all plz plz plz help
Answer:
1. 2ft
2. 8yd
3. 144in
4. 0.5ft
5. 18ft
6. 2640ft
7. 5280yd
8. 4.5ft
9. 4yd
10. 90in
11. 36in=3ft
p=4+5+3=12
12. 3ft=36in
2ft=24in
p=24+24+12+12+36=108
Which number has the greatest value?
A 7.8 x 10-3
B 1.3 x 10-6
C 5.5 x 10-3
D 9.5 x 10-2
Answer:
D 9.5 x 10^-2
Step-by-step explanation:
D becuase it is only 10^-2, the other ones are 10^-3, which is less than 10^-2
What is the figure shown below?
N
м.
A...line
B..line segment
C..ray
Answer:
c its Ray I looked on goggle and I looked up Ray and it showed a picture of that
Answer:
Its a ray I didnt need to look it up cause I alr did this before
Patricia tiene $80.000 sólo en billetes de $5.000, Camila tiene $60.000 sólo en billetes de $2.000 y Andrea tiene $120.000 sólo en billetes de $10.000. Cada una aportará la misma cantidad de dinero a un fondo para comprar un regalo a su madre, que tiene un valor de $90.000. ¿Con cuántos billetes se quedará Camila después de pagar su parte de la cuota?
Answer:
mmmm
Step-by-step explanation:
PLEEEASE HELP! TEST TMRW AND I MIGHT FAIL.
Miss Gonzales opened an account with a deposit of $2,000,
The account earned annual simple interest.
She did not make any additional deposits or withdrawals.
At the end of 6 years, the balance of the account was $2,696.
What is the annual interest rate on this account?
Answer:
22.5
Step-by-step explanation:
does anyone know the answer?
Answer:
E
Step-by-step explanation:
Answer:
It's E l did that before
Solve for x in the diagram below (x+42)
Answer:
x = 12
Step-by-step explanation:
(x + 42)° + 3x° = 90°
x + 3x + 42 = 90
4x = 90 - 42
4x = 48
x = 12
[tex]\frac{33}{4-\sqrt{5} }[/tex]
explain why guard cells have thicker inner walls and thinner outer walls
find the total surface area of the shape
Answer:
510 ft²
Step-by-step explanation:
in the triangle
base (b) = 5 ft
height of the triangle (h1) = 12 ft
height of the prism = 15 ft
Now
Lateral surface area (LSA)
= perimeter of triangular base * height
= ( 13 + 5 + 12) * 15
= 450 ft²
Total surface area
= LSA + 2 * area of triangular base
= 450 + 2 * 1 / 2 * b * h1
= 450 + 5 * 12
= 450 + 60
= 510 ft²
Hope it will help :)❤