25 letters in 4 days

Answers

Answer 1

Answer:
In order to write 25 letters in 4 days you would need to write 6.25 a day

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24. A flat roof rises at a 30° angle from the front wall of a storage shed to the back wall. The front wall is11.5 feet tall and the back wall is 20.2 feet tall. Find the length of the roof line and the depth of the shed from front to back. Round vour answers to the nearest tenth of a foot.

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WILL MARK BRANLIEST

Answers

Answer:

Length of the roof line is $17.4\ feet$ . And depth of the shed is $15.07\ feet$

Step-by-step explanation:

Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at 30° angle from the front wall.

Let $h$ be the length of the roof line. And $b$ the depth of the shed.

We can see it is a right angle triangle with opposite $20.2-11.5=8.7\ feet$ (see the attachment)

Now,

$sin(30)=(Opposite)/(Hypotenuse)\n \nsin(30)=(8.7)/(h)\n\nh=(8.7)/(0.5)\n\nh=17.4\ feet$

Also,

$tan(30)=(Opposite)/(Adjacent)\n\ntan(30)=(8.7)/(b)\n\nb=(8.7)/(tan(30))\n\nb=(8.7)/(0.577)\n\nb=15.07\ feet$

So, Length of the roof line is $17.4\ feet$ . And depth of the shed is $15.07\ feet$

Answer:

17.4 ft

Step-by-step explanation:

Given: Height of front wall is 11.5 ft

Height of back wall is 20.2 ft

Attach is the picture drawn for the question.

First lets find the depth of shed from from front to back wall.

Depth of shed from front to back wall= length of back wall - length of front wall.

∴ Depth of shed from front to back wall= $20.2-11.5= 8.7\ ft$

Now, using sine rule of trignometry to find length of roof line.

We know, $Sin \theta= (Opposite)/(Hypotenous)$

⇒ $sin 30= (8.7)/(hypotenous)$

⇒ $(1)/(2) = (8.7)/(Hypotenous)$

Cross multiplying

⇒ $Hypontenous= 8.7* 2$

∴ Hypontenous= 17.4 feet

Hence, length of roof line is 17.4 ft.

Write (1/3i)-(-6+2/3i) as a complex number in standard form

Answers

Answer:

$6+(i)/(3)$

Step-by-step explanation:

$(1)/(3\imath)-(-6+(2)/(3\imath))$

$(1)/(3\imath)+6-(2)/(3\imath)$

taking like terms together

$(1)/(3\imath)-(2)/(3\imath)+6$

taking LCM

$(1-2)/(3\imath)+6$

$(-1)/(3\imath)+6$

taking LCM

$(-1+18\imath)/(3\imath)$

splitting the term

$(-1+18\imath)/(3\imath)$

splitting the term

$-(1)/(3\imath)+(18\imath)/(3\imath)$

$-(1*3\imath)/(3\imath * \imath)+6$

$-(i)/(3\imath^2)+6$

we know that

$\imath^2=-1$

putting this value in above equation

$(\imath)/(3)+6$

What is 3/4 of 16? Can you show an example?

Answers

3/4 of 16 simply mean what is 3/4 times 16. OF means MULTIPLICATION, there for we know that we have to multiply.

3 6 18
-----x ----- = ----- now since we have and improper fraction, we divide. 2 4
4 1 4 ----
4 is now the answer, but we have to simplify. 2 1
----
1 is the final answer.

(hope this helps)

A trinomial with a leading coefficient of 3 and a constant term of -5

Answers

Answer:

A trinomial with a leading coefficient of 3 and a constant term of -5 is $3x^2+x-5$ .

Step-by-step explanation:

To find : A trinomial with a leading coefficient of 3 and a constant term of -5 ?

Solution :

A trinomial is a polynomial with three terms is in the form of $ax^2+bx+c$ .

where, a is the leading coefficient, b is the middle coefficient of x and c is the constant.

A trinomial with a leading coefficient of 3 and a constant term of -5.

Here, a=3,c=-5 and consider b=1,

So, $3x^2+x-5$

Therefore, a trinomial with a leading coefficient of 3 and a constant term of -5 is $3x^2+x-5$ .

Final answer:

A trinomial with a leading coefficient of 3 and a constant term of -5 can be represented as 3x^2 + 4x - 5, where 3 is the leading coefficient and -5 is the constant term.

Explanation:

In mathematics, a trinomial is an algebraic expression made up of three terms. In your case, you are asking for a trinomial with a leading coefficient of 3 and a constant term of -5. An example of such a trinomial could be 3x2 + 4x - 5. Here, 3 (the coefficient of the x2 term) is the leading coefficient, and -5 (the term without any variable) is the constant term.

Learn more about Trinomial here:

brainly.com/question/35586374

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Laura earns $2.90 more per hour than her friend, Jess. Write an equation to show how much Jess earns per hour. Use j to represent her hourly rate.How much does Jess earn if she works 20 hours

Answers

Answer:

Equations are

J=j → (1)

L=$2.90+J=$2.90+j → (2)

Jess earn $20j in 20 hours

Step-by-step explanation:

Given that Laura earns $2.90 more per hour than her friend, Jess.

we have to write an equation to show Jess earns per hour.

As j represents hourly rate of Jess i.e

Jess earns $j per hour.

∴ J=j → (1)

As Laura earns $2.90 more per hour than her friend, Jess

⇒ L=$2.90+J=$2.90+j → (2)

Eq (1) and (2) are required equation.

we have to find how much Jess earn in 20 hours

Hours=20

∴ In 1 hr Jess earn $j

In 20 hrs Jess earn $ 20j

Valid Equation: 2.90x-J
"X" equals how much Laura Makes

C-9.5÷1.9=-10 what does c equal

Answers

c=-15 because first I divided -9.5 and 1.9 and I got -5;
So -15 - (-5) turns into -15 + 5
= -10

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