Please please please please help me please

The length of the longer side of the rectangle is 8.78cm

The formula for calculating the area of a rectangle is expressed as:

A = lw

For a semicircle;

A = πr²/2

r is the radius

Area of the figure = lw + πr²/2

Substitute the given paramters

41.4 = 4w +  π(2)²/2

41.4 = 4w + 6.28
4w = 41.4 - 6.28

4w = 35.12

w = 35.12/4

w=  8.78 cm

Hence the length of the longer side of the rectangle is 8.78cm

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Select all expressions that are equal to 5/8.

Let's review each option one by one.

Option A

Thus, Option A is correct.

Option B

Thus, Option B is incorrect.

Option C

Thus, Option C is incorrect.

Option D

Thus, Option D is correct.

Option E

Thus, Option E is incorrect.

Answer:

I dont see options, but the answer should be: X(2+5)≤40

Step-by-step explanation:

Step-by-step explanation:

no calculator or Excel sheet ?

(4×(4 + 3)) - 3 = (4×7) - 3 = 28 - 3 = 25

((7 - 5) ÷ 1/2) × 2 = (2 ÷ 1/2) × 2 = (2 × 2) × 2 = 4×2 = 8

(5.4 + 3) × (6 - 2) = 8.4 × 4 = 33.6

(9 ÷ 3 + 6) × 3 = (3 + 6) × 3 = 9×3 = 27

(4 + 3.2) × ((9 - 2) + 2.5) = 7.2 × (7 + 2.5) = 7.2 × 9.5 = 68.4

remember 2 things :

1. first priority for the sequence of operations is defined by brackets. second priority are multiplication and division (both are on the same level, and you can do them either way). and only third priority is addition and subtraction (they come last, and if you keep the "-" signs with the numbers, you can do them also in any sequence among each other : a - b = -b + a).

2. when you divide by a fraction, then this is the same as multiplying with the upside-down version of that fraction.

a / 1/b = a × b/1 = a × b

Answer:

x=2

Step-by-step explanation:

5x+3=x+11

5(2)+3=2+11

10+3 = 2+11

13=13

Therefore, x=2

(basically you just plug in random numbers and see if it gets you the same answer on both sides)

Hope this helps!!

Answer:

72 +6+2 equal80

Step-by-step explanation:

have to pluse all

Answer:

  41°

Step-by-step explanation:

This problem involving the Law of Cosines has been mostly worked for you. The value of the cosine is the solution to the remaining one-step linear equation. The inverse cosine function (cos⁻¹ or arccos) is used to find the angle from the value of the cosine.

  -1125 = -1500·cos(A)

  cos(A) = -1125/-1500 = 3/4 . . . . . divide by -1500 (this is the one step)

  A = arccos(3/4) ≈ 41.4096°

The angle formed by the lines to the lampposts is about 41°.

__

Additional comment

If you find the angle using the ACOS( ) function of a spreadsheet, you will always get the result in radians. Most calculators offer the choice of units for angles, so be sure you set the mode appropriately.

In the calculator screenshot, there is a decimal point in the fraction to force the angle result to be displayed as a numerical value. Otherwise, this calculator shows cos⁻¹(3/4), which isn't terribly helpful.

Answer:

23, 25, 27

Step-by-step explanation:

n + (n+2) + (n+4) = 4n - 17

3n + 6 = 4n - 17

3n - 4n = -17 - 6

-n = -23

n = 23

therefore,

23, 25, 27 are the 3 consecutive odd integers

Part A

Answers:

-------------------------

Explanation:

The two terms are separated by a plus sign. Since we have two terms, we have a binomial.

The variables are p and q, acting as placeholders for unknown numbers.

The coefficients are the numbers to the left of the variables, which are the 4 and 7.

The degree of multivariable polynomials is found by adding up the exponents for each term, then picking the largest sum. In each case, we get a sum of 3 for each monomial. The degree of the entire polynomial is therefore 3.

==============================================

Part B

Answer:   t^3 - 20t + 26

-------------------------

Explanation:

We have an expression of the form

(6t^3-3t+5) - x = (5t^3 + 17t - 21)

which rearranges to

-x = (5t^3 + 17t - 21) - (6t^3-3t+5)

-x = 5t^3 + 17t - 21 - 6t^3 + 3t - 5

-x = (5t^3 - 6t^3) + (17t+3t) + (-21-5)

-x = -t^3 + 20t - 26

x = -(-t^3 + 20t - 26)

x = t^3 - 20t + 26

Answer:

1.) -4x+30y 2.) distributive property 3.) -4x+30y, (-0.4(3)+3(2)), 10(-1,2)+10(6), -12+60, =48

Step-by-step explanation:

10(-0.4x+3y)= 10(-0.4x)+10(3y)= -4x+30y

10(-0.4(3)+3(2))

10(-0.4(3))+10(3(2))

10(-1.2)+10(6)

-12+60

= 48

Answer: x=-1

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer: Rs. 6075

40500×(15/100)= 6075

Step-by-step explanation:

Answer:

y=-3

Step-by-step explanation:

5(y+2/5)=-13

5y+2=-13

5y=-15

y=-3

Answer:

32

Step-by-step explanation:

=> 4s[tex]{}^{3} [/tex]

=> 4(2)[tex]{}^{3} [/tex]

=> 4(2×2×2)

=> 4(8)

=> 32

Answer:

A = 5.99x + 475

Step-by-step explanation:

In the equation I wrote, x is equal to the number of film rolls he needs to develop. You just put that number in for x and solve the equation. That will give you the amount of money Leo spends on his new hobby.

Answer:

47.46 dollars

Step-by-step explanation:

If the store Macy has to increase the retail by 13%, then Macy store must increase the shirt. So you must increase 42 dollar by 13%.

Answer:

x is given as -1.5. Substitute to confirm

Step-by-step explanation:

½+⅛ = ⁴/8 + ⅛ = ⅝

bold one's are answer.

hope this helps you.

Answer

-3/5

Step-by-step explanation:

to find this you have to use the equation y1 - y2 / x1 - x2

so first write -3 - 0 (or 0 - - 3) over 6 - 1

it looks like -3/5

Answer:

46% of 115 gives 52.9 because it is the total of books that is not given

d + c = 19

100d + 15c = 1390

we can simplify the second equation

20d + 3c = 278

now d + c = 19

c = 19 - d

3c = 57 - 3d

now plug into second equation

20d + 57 - 3d = 278

17d = 278 - 57

17d = 221

d = 221 / 17

d = 13

now we can plug this into the first equation

13 + c = 19

c = 19 - 13

c = 6

13 dogs were sold and 6 cats were sold

Step-by-step explanation:

Rational number because it's terminating

Answer:

800

Step-by-step explanation:

When we say estimate, we must estimate the 2 numbers to their closest answer:

398- 400 when rounded to the nearest 100

1.9- 2 when rounded to the nearest whole number

So we get the estimate equation as: 400×2= 800

Solution:

We know that:

This means that:

Simplifying "400 x 2"

Thus, the estimate of 398 x 1.9 is about 800.

Answer:

y=-1/2x+2

Step-by-step explanation:

2-1/2x=y

y=2-1/2x

y=-1/2x+2

Answer:

I think the answer is "A"

Answer:

1/3

Step-by-step explanation:

The probability that a number greater than 2 is rolled is 4/6 {2, 3, 4 and 6} The probability that the coin lands on heads is 1/2

You can multiply 1/2 and 4/6 to find out the total number of possible outcomes: 1/2 × 4/6 = 4/12. This can be simplified to 1/3.

Hope this helps!

The polynomial [tex]3x^2+x-6x+3[/tex] is a prime polynomial because it is not reducible or does not have factors.

Given polynomials are:

[tex]1)x^4+3x^2-x^2-3\\\\2)x^4-3x^2-x^2+3\\\\3)3x^2+x-6x-2\\\\4)3x^2+x-6x+3[/tex]

A polynomial not having more than one factor is called a prime polynomial.

Factors of the first polynomial are [tex](x^2-1),(x^2+3)[/tex]

Factors of the second polynomial are [tex](x^2-1),(x^2-3)[/tex]

Factors of the third polynomial are [tex](x-2) (3x+1)[/tex]

There are no factors of the fourth polynomial so this is a prime polynomial.

Therefore, the polynomial [tex]3x^2+x-6x+3[/tex] is a prime polynomial.

To get more about the polynomial visit:

https://brainly.com/question/2833285

Answer:

the answer is 16 okay it simple ok