Theresa created a piece of art by attaching a square plank to a triangular plank. The square plank has a perimeter of 48 inches. The triangular plank has a base length of 12 inches and a height of 6 inches. She wants to cover the piece of art with colored paper.

How many square inches of paper are needed to cover Theresa's art piece?

Answer:

the statement is not reversible

Step-by-step explanation:

Hi there!

We are given the statement "if x=3, then x²=9"

In this case, the hypothesis (p) is x=3, while the conclusion (q) is x²=9

Reversing the statement would make it so that q is first, then p is after.

In other words, if the statement was originally "if p, then q", then the reverse of that statement would be "if q, then p"

This is known as the CONVERSE of the statement. Sometimes, the converse is true, but not always. If both the statement and the converse are true, then it's known as a BICONDITIONAL, where it works both ways

So we'll need to test if the following statement "if x²=9, then x=3" is true

If you subtract 9 from both sides, x²=9 becomes this equation:

x²-9=0

Using the square of differences formula, where x is a and 3 (square root of 9) is b:

(x-3)(x+3)=0

Now using zero product property:

x-3=0

Add 3 to both sides

x=3

AND:

x+3=0

Subtract 3 from both sides

x=-3

We see that the answers from this equation are x=3 and x=-3.

*if you plug 3 and -3 back in the equation, we can see they both work. Remember that x² is equal to x*x, or (x)²:

If x=3:

(3)²=9

(3)(3)=9

9=9

If x=-3:

(-3)²=9

(-3)(-3)=9

9=9

Hence, the statement doesn't work in the converse

The option "the statement is not reversible" is not the answer.

Hope this helps!

[tex]2a + 5 = 11 \\ = > 2a = 11 - 5 \\ = > 2a = 6 \\ = > a = \frac{6}{2} \\ = > a = 3[/tex]

a = 3

Hope it helps.

Do comment if you have any query.

Answer:

3.78

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

(a)

[tex]4^{9}[/tex] × 4³ = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]

(b)

[tex]6^{5}[/tex] × 6² = [tex]6^{(5+2)}[/tex] = [tex]6^{7}[/tex]

(c)

[tex]8^{6}[/tex] ÷ 8 = [tex]8^{(6-1)}[/tex] = [tex]8^{5}[/tex]

(d)

[tex]7^{8}[/tex] ÷ [tex]7^{6}[/tex] = [tex]7^{(8-6)}[/tex] = 7²

Answer:

Step-by-step explanation:

1. right angled (isosceles)

2. acute (equilateral or equiangular)

3. obtuse

5. acute

Answer:

Triangle number one is a right triangle. Triangle two is an equilateral triangle. Triangle three which is below triangle one is an obtuse triangle. The fourth triangle is an acute triangle.

Step-by-step explanation:

One is a right triangle because it has one right angle.

Two is an equilateral triangle because all of the three angles are 60 degrees.

Three is an obtuse triangle because one of the three angles is more than 90 degrees.

Finally, 4 is an acute triangle because all of the three angles are less than 90 degrees

Answer:

see explanation

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = a₂ - a₁ = 1 - 11 = - 10 , then

[tex]a_{n}[/tex] = 11 - 10(n - 1) = 11 - 10n + 10 = 21 - 10n ← explicit formula

Using the explicit formula to find a₄₀ , then

a₄₀ = 21 - 10(40) = 21 - 400 = - 379

Answer:

180

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) 6305/65= 97

b) 94+94= 188

   306-188= 118

Answer:

a. 87 b. 59

Step-by-step explanation:

typing bc I need to have 20 letters

The amount in the account after 1 year is $2,040.00

The amount in the account after 2 years is $2,080.80

What is future value of a single cash flow?

The future value of a single cash flow like the $2,000 is the future equivalent worth of the initial amount when interest earned is added to it.

The future value in this case can be determined as shown thus:

FV=PV*(1+r)^N

FV=unknown future value

PV=initial investment=$2000

r=interest rate=2%

N=years of investment , 1 and 2 years respectively

FV after one year:

FV=$2000*(1+2%)^1

FV=$2,040.00

FV after  two years:

FV=$2000*(1+2%)^2

FV=$2,080.80

Find out more about future value on:https://brainly.com/question/25545513

#SPJ1

Full question:

Suppose that $2000 is placed in an account that pays 2 % interest compounded each year. Assume that no withdrawals are made from the account.

Find the amount after one year. Find the amount after two years

Answer:

{0,9,2,-3}

Step-by-step explanation:

the range is all the ys.

these are all in the format (x, y)

Hope this helps.

PS-If it's a multiple choice question, the numbers might not be in the same order. just pick the one with those numbers.

Answer:

x = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{MN}{FG}[/tex] = [tex]\frac{NP}{GH}[/tex] , substitute values

[tex]\frac{x}{12}[/tex] = [tex]\frac{10}{20}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6

Answer:

Your answer would be the second option.

Explanation:

As it is looking for an exponential decay function, you must find one. As an exponential function has to be sloping negatively, you must find the graph that does just this. The only graph that does is graph number two. Henceforth your answer is graph number two, or B. (I also did this quiz, and got a 100%)

Hope This Helps!

The graph represents g(x) is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

The graph of f(x) = 2x is shown.

it is looking for an exponential decay function, As an exponential function has to be sloping negatively.

Draw the graph of the equation by using the table shown below:

x      f(x)

-2      -4

-1       -2

0       0

The graph the exponential function approaches y = 0 in quadrant 1.

The function increases into quadrant 2 and It crosses the y-axis at (0, 1).

Hence, the correct option is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.

Learn more about exponential growth and decay here:

https://brainly.com/question/2193820

#SPJ2

Answer:

the topic of a piece of informational writing: C. the subject or focus

The topic of an informative piece is the writer's feelings about the subject which is the correct answer that would be an option (B).

Informational writing is a piece of writing that is truthful and aims to educate or explain a topic to the reader. This teaches primary school students how to write realistic, insightful essays on a variety of topics.

It gives the reader fundamental information about a certain issue, which serves to inform the reader. Informational writing, unlike other types of writing, does not aim to influence the reader's opinion or inspire them to take action.

The informational writing is straightforward and succinct. It does not include any superfluous words, flamboyant notions that might confuse the readers or too detailed terminology.

Therefore, the correct answer would be option (B).

Learn more about the Information writing to click here:

brainly.com/question/25622432

#SPJ5

Answer:

I think its

B) CG

I hope its right

Answer:

answer is 2

Step-by-step explanation:

funny pic

Answer:

½ x 6 x 3=9 which is 9+9+9+9+9

Answer:

1/3(p + 45)

Step-by-step explanation:

1/3 p + 15 is the same as 1/3(p + 45)

-Chetan K

Answer:

x = -1/11.

Step-by-step explanation:

I am interpreting this as:

(2x+4)/ 3 - (5x-7)/2 = 5

Multiply through by the LCM of 2 and 3 ( that is 6):

2(2x + 4) - 3(5x - 7) = 30

4x - 15x + 8 +21 = 30

-11x = 30 - 21 - 8

-11x = 1

x = -1/11.

Answer:

-25 can be expressed as a ratio of -50/2, -75/3, etc

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

[tex]\frac{\sqrt{50}+\sqrt{18}+\sqrt{8}}{3} = \frac{10}{3} . \sqrt{2}[/tex]

ok done. Thank to me :>

~one variable linear equation

4t = -10

t = -10 ÷ 4

t = -2,5 ✔️

So, the answer is -2,5 no 2,5

~ nice to help you ^^

Answer:

-1 + (1.6) + 0.2

Step-by-step explanation:

-1 + 1.6 = 0.2 = 0.8

Answer:

-1 + (1.6) + 0.2

Step-by-step explanation:

-1 + 1.6 = 0.2 = 0.8

Answer:  81ײ=27×     x = 6

Answer:

6 = A, 2 = B, -5 = C

Step-by-step explanation:

Answer: this is a math test, i presume

on schoology

Answer:

30

Step-by-step explanation:

Step-by-step explanation:

3.5 liters were originally in it.

then 0.75 liters were taken out.

that left 2.75 liters.

then 1.25 liters were taken out.

that left 1.5 liters in the container.

Answer:

the left side is the answer