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part A is 48.98 meters squared. part B is $288.982.

Step-by-step explanation:

To find the area of the flooring you multiply 7.9 and 6.2 which gives you 48.98 meters squared. Then for part B you take your product from part A and multiply it by $5.90, giving you $288.982.

I hope this helps

Answer:

First, remember that:

[tex]tan(x) = \frac{sin(x)}{cos(x)}[/tex]

and:

[tex]sec(x) = \frac{1}{cos(x)}[/tex]

Then we can rewrite the expression:

[tex]tan(x)*sin(x) + sec(x)*cos^2(x) = A[/tex]

Where A is an equivalent expression.

as:

[tex]\frac{sin(x)}{cos(x)} *sin(x) + \frac{1}{cos(x)}*cos^2(x) = A[/tex]

Then this is:

[tex]\frac{sin^2(x)}{cos(x)} + cos(x) = A[/tex]

Now we can multiply both sides by cos(x), then:

[tex](\frac{sin^2(x)}{cos(x)} + cos(x))*cos(x) = A*cos(x)[/tex]

[tex]sin^2(x) + cos^2(x) = A*cos(x)[/tex]

And we know that the left term of the above equation is equal to 1, then:

[tex]1 = A*cos(x)[/tex]

[tex]\frac{1}{cos(x)} = sec(x) = A[/tex]

And A is equivalent to the original expression, then we get:

[tex]tan(x)*sin(x) + sec(x)*cos^2(x) = sec(x)[/tex]

The simplification of the expression is sec(x)

Answer:

f=7x g=3   x=18

Step-by-step explanation:

Answer: 90

Step-by-step explanation:

2*43+4

86+4

90

Answer:

94

Step-by-step explanation:

43 +4 = 47

47 x2 = 94

Answer:

Option A.

Step-by-step explanation:

The representative will conduct a hypothesis test to test whether the mean number of magazines of type A the operators sell, μAμA, is greater than the mean number of magazines of type B the operators sell, μBμB. What are the correct null and alternative hypotheses for the test?

To verify this, the distribution used is [tex]\mu_{A} - \mu_{B}[/tex]

The null hypothesis is an equality, which means that it is:

[tex]H_{0} = \mu_{A} - \mu_{B} = 0[/tex]

At the alternate hypothesis, we want to test if the mean number of type A is greater than type B, that is, the distribution is positive. So

[tex]H_{A} = \mu_{A} - \mu_{B} > 0[/tex]

So the correct answer is given by option A.

Answer:

195 m

Step-by-step explanation:

Both shapes follow the formula: A = bh

The Big Square:

15 x 15 = 225

The Small Square:

6 x 5 = 30

225 - 30 = 195

Answer:

6.7

Step-by-step explanation:

Make a proportion (similar triangles):

(15) / (10+x) = 6/x

15x = 60 + 6x

9x = 60

x = 6.7

Answer:

$6.32

Step-by-step explanation:

m + L = total $

6.35 + 7L = 50.59

7L = 44.24

L = 6.32

Answer:

6

Step-by-step explanation:

Use the given information combine with the Pythagorean theorem to set up an equation. The Pythagorean theorem states that ([tex]a^2 + b^2 = c^2[/tex]), where (a) and (b) are the legs of the right triangle (sides that are adjacent to the right angle); and (c) is the hypotenuse (the side opposite to the right angle). Substitute in the given values in the problem,

[tex]a^2 + b^2 = c^2[/tex]

Substitute,

[tex]QO^2 + QP^2 = PO^2[/tex]

[tex]x^2 + 8^2 = (4+x)^2[/tex]

Simplify, distribute

[tex]x^2 + 64 = x^2 + 8x + 16[/tex]

Inverse operations,

[tex]x^2 + 64 = x^2 + 8x + 16\\-x^2\\\\64 = 8x + 16\\-16\\\\48 = 8x\\/8\\\\6 = x[/tex]

Answer:

Step-by-step explanation:

Pythagorean theorem: b² + 6² = 14²

b² = 14² - 36² = 160

b = 4√10

sin(A) = 6/14 = 3/7

∠A = arcsin(3/7) ≈ 25.4°

∠B ≈ 90° - 25.4° = 64.6°

Answer:

2.4

Step-by-step explanation:

Answer:

Your total will be $64.19

Step-by-step explanation:

I know this because 7% is $4.20 and so if i add $59.99 to $4.40 i will get $64.19:)

Answer:

[tex]\dfrac{1}{27}[/tex]

Step-by-step explanation:

Given that,

a-b = 3

We need to find the value of [tex]\dfrac{27^{\dfrac{1}{3}b}}{9^{\dfrac{1}{2}a}}[/tex].

We know that,

[tex]27=3^3\\\\9=3^2[/tex]

So,

[tex]\dfrac{27^{\dfrac{1}{3}b}}{9^{\dfrac{1}{2}a}}=\dfrac{3^3^({\dfrac{1}{3}b})}{3^2^{\dfrac{1}{2}a}}\\\\=\dfrac{3^b}{3^a}[/tex]

We know that : [tex]\dfrac{x^p}{x^q}=x^{p-q}[/tex]

So,

[tex]\dfrac{3^b}{3^a}=3^{b-a}[/tex]

Since, b-a = -3. So,

[tex]3^{b-a}=3^{-3}\\\\=\dfrac{1}{3^3}\\\\=\dfrac{1}{27}[/tex]

So, the value of the given expression is equal to [tex]\dfrac{1}{27}[/tex].

Answer:

-4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

if x is an integer number, we have 2,305 solutions.

Step-by-step explanation:

We want to write an inequality such that the numbers:

3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get:

{-4, 0, 3, 2,300}

Then we can write an inequality like:

-4 ≤ x ≤ 2,300

You can see that the four values in the set {-4, 0, 3, 2,300} are solutions for our inequality.

Now, how many solutions does this inequality has?

if x is a real number, then we have infinite solutions.

if x is an integer, then the total number of solutions will be equal to:

number of negative solutions (4)

number of positive solutions (2,300)

the number zero (1)

Then we would have: 4 + 2,300 + 1 = 2,305 integer solutions.

Then the inequality solution will be -4 ≤ x ≤ 2,300. If x is a real number, we have infinite solutions. if x is an integer number, we have 2,305 solutions.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

A.  Write an inequality for which 3, -4, 0, and 2,300 are solutions that will be

If we order these numbers from smallest to largest, we get:

{-4, 0, 3, 2,300}

Then we can write an inequality like:

-4 ≤ x ≤ 2,300

You can see that the four values in the set {-4, 0, 3, 2,300} are solutions for our inequality.

B.  The number of the solution to the inequality will be

We have limitless solutions if x is a real number.

If x is an integer, the set of possible solutions will be

The number of negative solutions (4)

The number of positive solutions (2,300)

The number zero (1)

Then we would have: 4 + 2,300 + 1 = 2,305 integer solutions.

More about the inequality link is given below.

https://brainly.com/question/19491153

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Answer:

He could make 8 strands of 3 blue strands and 4 white strands lights

Answer:

the lowest point of the dry lake bed in the example has an elevation of -18 3/4 ft what number represents the change in elevation from the start of the path to the lowest point in the dry lake bed show your work (my teacher said she messed it up so it’s the same question just the numbers are -18 3/4 - (-12 1/2) explain how !

Answer:

B because for ASA to work the side has to be surrounded with the angles and <ACD = <CAB has to be true and for

SAS to work the angle has to be surrounded by sides so

AD = BC has to be true.

Hope this helped and brainliest please

Answer:

sorry i dont know this answer

Please read "Step-by-step" if you're having trouble

Answer:

x²(1-[tex]\frac{1}{4}[/tex][tex]\pi[/tex])

Step-by-step explanation:

Each side of the cookie dough is x long, since there is no given number, the diameter of the plate is also x, its as long as the square is wide, making the radius 1/2x.

The area of the cookie dough is x², the area of the plate is 1/4[tex]\pi[/tex]x².

You have the equation x²- [tex]\frac{1}{4}[/tex][tex]\pi[/tex]x²the equation has a Greatest Common Factor of x² so your factored equation is x²(1-[tex]\frac{1}{4}[/tex][tex]\pi[/tex])

Answer:

Step-by-step explanation:

i nedd the answers

Answer:

8/24 = 1/3

Step-by-step explanation:

divide numerator and denominator by 8

Answer:

Step-by-step explanation:

I want to say the 2nd one.

2nd and 4th one are equivalent to the initial equation but it asks for the expotential equation is equivalent so i figured the 2nd one has the exponents. Sorry can't be of more help. Thats the one i would choose.

Answer: Compounded quarterly, 350, 420, 25, the account pays interest on both the principal and the interest accumulated.

Step-by-step explanation:

Question 1: Compounded quarterly is growing fastest because it's broken down more than what simple interest does and therefore is faster instead.

Question 2: Account A in 30 years would be 350, I did this problem and eyeballed it. Trust me.

Question 3: Account B in 30 years would be 420.

Question 4: The approximate difference between the two accounts in 20 years would be 25.

Question 5: If the rate of interest is annual and the interest is compounded quarterly then the number of years is 4 times and the rate of annual interest is one-fourth. Therefore, the account pays interest on both the principal and the interest accumulated.

Hope this helps

The simple interest and compound interest are solved for both the curves

a) The compound interest is growing fastest

b) the amount in Account A in 30 years A = $ 350

c) The amount in Account B in 30 years is B = $ 420

d) The difference between the two accounts in 20 years = $ 25

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

a)

Let the 2 curves be represented as A and B

Now , the amount invested by A = $ 200

The rate of simple interest = 2.5 %

And , the amount invested by B = $ 200

The rate of compound interest = 2.5 %

So , we can say that since it is more thoroughly broken down than basic interest is, compounded quarterly growth is the quickest.

b)

The amount for A in 30 years is given in the graph

A = $ 350

c)

The amount for B in 30 years is given in the graph

B = $ 420

d)

The amount for A in 20 years is given in the graph = $ 300

The amount for B in 20 years is given in the graph = $ 325

The difference between the two accounts in 20 years = $ 325 - $ 300

The difference between the two accounts in 20 years = $ 25

Hence , the compound interest is solved

To learn more about compound interest click :

https://brainly.com/question/21270833

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Answer:

$1078

Step-by-step explanation: