A triangle was dilated by a scale factor of 4. If tan a° = four thirds and segment FD measures 12 units, how long is segment EF?

Answers

Answer 1

Answer: EF= 16 units

Step-by-step explanation:

I took the test and also EF has to be greater just by looking at the triangle.


Related Questions

Find the nth term of this quadratic sequence. 3,11,25,45

Answers

Since you know the sequence is quadratic, we can find constants a, b, and c such that the n-th term of the sequence (denoted by f(n)) is

[tex]f(n) = an^2 + bn + c[/tex]

We're given f(1) = 3, f(2) = 11, and f(3) = 25. (We have three unknowns, so we only need three conditions.) Solve for the constants:

[tex]\begin{cases}f(1) = a + b + c = 3 \\ f(2) = 4a + 2b + c = 11 \\ f(3) = 9a + 3n + c = 25 \end{cases} \implies a=3, b=-1, c=1[/tex]

Then the n-th term of the sequence is

[tex]f(n) = \boxed{3n^2 - n + 1}[/tex]

I need help! what is this equation in factored form and how do you solve it using the X-method (or really any other method?)

y = -3x^2 - x + 2

Answers

Answer:

See below

Step-by-step explanation:

Part 1:

Factored: y = (-3x+2)(x+1)

Part 2:

Not exactly sure what the "x" method is after your explaination, so ill just use the quadratic formula.

Quadratic Formula:

[tex]x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

Also:

[tex]x^2=a\\x=b\\2=c[/tex]

So if you solve (not showing work):

Your x-ints are:

-1

2/3

6 more than x is less than 4​

Answers

Answer:

how

Step-by-step explanation:

Answer:

6×4?

Step-by-step explanation:

6 is more than 4 bro

what need to do here

Multiply.
12x^4 (-5/6x^3y^2)

Answers

Answer:

-10[tex]x^{7}[/tex][tex]y^{2}[/tex]

Step-by-step explanation:

12[tex]x^{4}[/tex]([tex]-\frac{5}{6} x^{3}[/tex][tex]y^{2}[/tex])
First multiply 12 * - [tex]\frac{5}{6}[/tex] , solving this you get -10
Next multiply [tex]x^{4}[/tex] by [tex]x^{3}[/tex] , solving this you get [tex]x^{7}[/tex]

Finally you have [tex]y^{2}[/tex], and nothing to multiply it by. So it stays as [tex]y^{2}[/tex]

Put is all together and you get -10[tex]x^{7}[/tex][tex]y^{2}[/tex]

-10x^7y^2

i do k12 i just took that test

Which of the following has eight faces?
ОО
O A. octahedron
O B. tetrahedron
O C. icosahedron
O D. dodecahedron

Answers

Choice A - Octahedron is the answer

What is the discriminant of the polynomial below?

9x^2 - 18x + 9

A. 0

B. 648

C. -306

D. -18

Answers

The answer is letter A

Prior to June 1, Sandler Company had no treasury stock transactions. Then, on June 1, the company paid $5,000 to purchase 100 shares of its common stock on the open market. On July 1, the company sold 50 of these shares at $52 per share. Then, on August 1, the company sold the remaining 50 shares at $46 per share. Prepare the journal entry

Answers

Answer:

Explanation:

The journal entries are shown below:

On June 1

Treasury Stock A/c Dr $5,000 (50 shares × $100)

To Cash A/c $5,000

(Being treasure stock is purchased)

On July 1

Cash A/c Dr $2,600 (50 shares × $52)

To Treasury Stock A/c $2,500     (50 shares × $50) To Paid in capital - Treasury stock $100

(Being treasury stock is sold at higher price and the remaining amount would be credited to the paid in capital account)

On August 1

Cash A/c Dr $2,300       (50 shares × $46)

Paid in capital - Treasury stock $100

Retained Earnings A/c Dr $100

To Treasury Stock A/c $2,500 (50 shares × $50)

(Being treasury stock is sold at lower price and the remaining amount would be debited to the retained earning account)


Find the least common denominator (LCD) 8/9 and 4/5

Answers

Answer:

45

Step-by-step explanation:

First we write the first 10 multiples of 9 (the first denominator) :

9,18,27,36,45,54,63,72,81,90

Now we write the first 10 multiples of 5 (the second denominator) :

5,10,15,20,25,30,35,40,45,50

As we can see 45 is the lowest number that appears in both list.

Therefore 45 is the LCD of 8/9 and 4/5

Answer:

45

Step-by-step explanation:

So since we are finding the LCD, we only look at the denominators, 9 and 5.

We can count until we find the denominator:

[tex]9,18,27,36,45\\5,10,15,20,25,30,35,40,45[/tex]

So the LCD would be 45.

2. Expand the following expression: 7 (1 + f)

Answers

Hello!! I'm always here to help!!!

_____________________

7 (1+f) = 7 · 1 + 7f

= 7 · 1 + 7f

_____________________

Have a great day!!

To rent a certain meeting room, a college charges a reservation fee of $19 and an additional fee of $6 per hour. The chemistry club wants to spend at most $49 on renting the room. What are the possible numbers of hours the chemistry club could rent the meeting room?
Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

Answer:

t >= 5

Step-by-step explanation:

Construct the indicated confidence interval for the population mean using the​ t-distribution. Assume the population is normally distributed.
picture of question below

Answers

Using the t-distribution, it is found that the confidence interval is (14.2, 14.8).

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 18 - 1 = 17 df, is t = 2.1098.

The other parameters are given by:

[tex]\overline{x} = 14.5, s = 0.68, n = 18[/tex].

Hence, the bounds of the interval are given by:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 14.5 - 2.1098\frac{0.68}{\sqrt{18}} = 14.2[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 14.5 + 2.1098\frac{0.68}{\sqrt{18}} = 14.8[/tex]

The confidence interval is (14.2, 14.8).

More can be learned about the t-distribution at https://brainly.com/question/16162795

Solve using elimination. Write your answer as an ordered pair (x,y).
3x - 4y = -29
and
6x + 5y = -32

Answers

Answer:

x=-7,y=2

Step-by-step explanation:

3x - 4y = - 29

and 6x + 5y = - 32

3x - 4y = - 29 (1)

6x + 5y = -32 (2)

equation (1) x 2

6x-8y = -58

equation (2) × 1

6x + 5y = - 32

Substracting → - 13y = -26

13y = 26.

26/ 13 ⇒ y =

⇒ yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy = 2

Putting y = 2 in equation (1), we have

3x - 4(2) = - 20

→ 3x = -29 +8

→3x = -21

→ X = -7

x = - 7

Explain why 16 to the power of 1/2 is equal to 4. Give as much detail as possible. FIRST ONE TO ANSWER GETS BRAINLIEST

Answers

Answer:

4

Step-by-step explanation:

16^1/2 = sqrt(16) = 4

4*4 = 16

please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

because 2.5x2.5=5 min so in a another 2 page which is 2.5 min so it C

15)
Common Metals
Name Melting Point Density (w/cm)
Zinc
419.53 °C 7.134
Nickel 1455°C 8.912
Copper 1084.62°C 8.96
Silver 961.78°C 10.501
Gold 1064.18°C 19.282
You are hired as a scrap metal dealer. A customer wants to sell you a piece of precious scrap metal. You know it is one of these
common metals. You slowly heat the metal and it melts at 962 °C. You also take the density of the metal and find it to be roughly
10.5 g/cm? What is the MOST LIKELY identity of the metal?
copper
A)
B
B)
gold
C)
silver
D)
zinc

Answers

The data given are 

           melting point            density 

Zinc        419.53 oC              7.134

Nickel      1455oC                 8.912

Copper  1084.62oC              8.96

Silver        961.78oC           10.501

Gold        1064.18oC          19.282

density is the mass per unit volume. Melting point is determined by the intermolecular forces between particles in the solids.

We have been asked to find which cube weighs the most 

density = mass/volume 

when volume is constant for all the metals, then density is directly proportional to mass. Therefore metal with highest density has the highest mass.

from the given metals, metal with highest density is Gold.

correct answer is Gold.

Solve for x: 3(x + 1) = 2(x - 1)
0-5
What’s the answer?

Answers

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=−8/3

Decimal Form:

x=−2.6

Mixed Number Form:

x=−2 2/3

hope this helps

3x+3= 2(x-1)
3x+3=2x-2
3x+3-2x=-2
3x-2x=-2-3
x=-2-3 because 2+3 is five so it’s -2 so it would be - five(-5) just - turns into plus
x=-5

Endeye needs to split 1/5 of the dinner left over from last week to feed her 3 siblings. What fraction of the original dinner will each sibling have to eat tonight?

Answers

Answer:

They each had 1/20 of the original meal

Step-by-step explanation:

To begin, there are 4 people. Her siblings, and herself. She is splitting the 1/5 leftover to feed them. To do this, we simply take 1/5 and put it into a fraction to get 0.2. Next, we can put 0.2 / 4 into a calculator to get how much each person can get.

0.2 / 4 = 0.05.

Now, we need to turn it into a fraction to find out how much they had in fraction form of the original.

0.05 = 1/20

They each had 1/20 of the original meal

Simplify 16 - 8 + 5x- 3x
8+8 x
10 x
8 + 2 x
16 + 2 x

Answers

Answer:

8 + 2x

Step-by-step explanation:

To simplify this expression, combine like terms.

16 - 8 = 8

5x - 3x = 2x

8 + 2x

hope this helps :)

Answer:

Because of the x between the 5 and 3 u have to put them in a bracket form or group like terms. After that u subtract the 16 from 8 and the 5x from the 3x so the answer will be equal to 8 +2x because 16-8=8 and 5x-3x=2x so it will be 8+2x

6×8×<10×5 is it true or false ​

Answers

Answer:

True

Step-by-step explanation:

6 × 8 = 48

10 × 5 = 50

48 < 50

hope this helps :)

In the study of vacuum tubes, the equation y + (0.4)(y^ -1) y' y 0 is encountered. Find the Taylor polynomial of degree 4 approximating the solution with initial values y(0)= 1, y'(0) 0 P4 (x)=

Answers

Answer: let me get back with you after

Step-by-step explanation:

Pat bounced a basketball 25 times in 30 seconds. At that rate, approximately how many times will Pat bounce the ball in 150 seconds?

Answers

Answer:

125
Please mark brainliest!

Step-by-step explanation:

To get this answer, we multiply 25 by 5, because 5 = 150 divided by 30.
25 x 5 = 125, so the answer is 125.

OLZ HELP ILL MARK AS BRAINLEST

Use the excerpt to answer the question. As Melanie climbed down into the 2 points rowboat, Gina scooted over on the bench to make room for her. "We have to pick up Jacob now," Gina said, handing Melanie one of the oars. “And we should hurry so we can be long gone before the patrol barge comes by." Gina hadn't told Mom where she was going. Her mother had been smoothing a washcloth over Brandon's forehead as Gina had headed out. When her mother had asked where she was off to, Gina had tossed out some vague explanation. It was better for Mom not to worry. She had enough to worry about these days. They all did. Which statement conveys the main idea of the excerpt?

Gina, Melanie, and Jacob are worried to leave Brandon when they take their rowboat out because they know his mother has been fussing over him a lot lately.

Gina and Melanie need to get Jacob before they are caught, and Gina doesn't want her mother to know where she is going so as not to worry her.

Gina's mom is worrying about her and Melanie because they are going to pick up Jacob in their rowboat.


Jacob is missing, and his friends Melanie and Gina decide to go looking for him without telling anyone​

Answers

Answer:

the second one

Step-by-step explanation:

Gina's mom does not know where she is, meaning that Gina did not tell her and implyling she did not want to worry her.


9) Write the equation of the given line in slope-intercept form:

Answers

Answer:

[tex]y = - 3x - 1[/tex]

Step-by-step explanation:

shown in attachment

Which survey question could have been asked to produce this data display?
A How much does your dog weigh?
B How many times do you feed your dog each day?
C How many bags of dog food do you buy each month?
D How much does your bag of dog food weigh?

Answers

Answer:

D.

Step-by-step explanation:

I did the test, and the previous answers were incorrect :)

Answer:

The correct answer to this question would be B:

Step-by-step explanation: Have a good day

Let's Apply Solve for the surface area of the following figures. ​

please i need this rn​

Answers

Answer:

Step-by-step explanation:

1) Surface area of a square = s*s = 12*12 = 144 in

2) Surface area of a Cone =  A=πr(r+h2+r2) = 3.142*4(4+22*2+4*2) = 351.904 cm^2

3) S.A of a Cylinder =2πrh+2πr2 = 2*3.142*2*14 + 2*3.142*2*2 = 201.088 m^2

4) S.A of a square Pyramid = a^2 + 2a squareroot (a^2/4 + h^2) = 516.5m^2

5) S.A of a Sphere = 4*pie*r^2 = 4* 3.142*15^2 = 2827.8mm^2

Which congruence theorem can be used to prove △WXS ≅ △YZS? Triangles W X S and Y Z S are connected at point S. Angles W X S and S Z Y are right angles. Sides X S and S Z are congruent. SSS ASA SAS HL

Answers

Answer: ASA

Step-by-step explanation:

How is Fibonacci seen in nature

Answers

The Fibonacci sequence can be seen in the formation and split of tree branches. A primary trunk will continue to expand until it produces a branch, which will result in the formation of two growth points. One of the new stems then splits into two, leaving the other inert. Each of the new stems follows the same branching pattern.


PLSS I NEED HELP ASAPPP!!!

Mary had 12 eggs. She ate 2 eggs per day (x). Choose all of the points that would lie on a graph of the line representing the number of eggs remaining, y, after x days. O A. (2,4) B. (2,8) C. (2,10) D. (4,2) E. (4.4) G F. (4,8)​

Answers

Answer:

B. (2,8)

E. (4,4)

Explanation:

equation that can be created: y = 12 - 2(x)

where y is the remaining eggs and x is days

sequence:                  coordinates:

1st day: 12 - 2 = 10         (1,10)

2nd day: 10 - 2 = 8        (2,8)

3rd day: 8 - 2 = 6           (3,6)

4th day: 6 - 2 = 4           (4,4)

5th day: 4 - 2 = 2           (5,2)

6th day: 2 - 2 = 0           (6,0)

what does it mean when something is at most 6

Answers

Answer:

"At most"  Means that you met largest possible number that you can use in a number set.

Step-by-step explanation:

Basically 6 is the highest number reached and cant go any higher but it can go lower.

factor the expression k^2+16k+64

Answers

Answer:

[tex]\huge\boxed{\sf (k + 8)(k + 8)}[/tex]

Step-by-step explanation:

Given expression:

[tex]k^2+16k+64[/tex]

We can write it as:

[tex]=(k)^2+2(k)(8)+(8)^2[/tex]

Using formula [tex]\bold{a^2+2ab+b^2=(a+b)^2}[/tex]

[tex]=(k+8)^2[/tex]

= (k + 8)(k + 8)

[tex]\rule[225]{225}{2}[/tex]

ANSWER[tex]\red{(k + 8)(k + 8)}[/tex]

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