There are 5 subjects each school day. Each subject is 45 minutes long. Lunch and recess are 35 minutes long. How long is the school day?

Answer:

13,363.84 square cm

Step-by-step explanation:

For this question,

The circle table has a radius of 56 cm and the height of the edge of the cloth is 10cm(height) below the tabletop, which is a rectangle

We need to find out the area of a circle, Then the area of the rectangle.

Area of circle FORMULA= πr^2 | Area of rectangle FORMULA = l * h

πr^2

3.14 * 56 * 56 = area of circle = 9,847.04

[(2*3.14*56)Perimeter of circle which is also length of rectangle] * 10 = area of rectangle = 3516.8

9,847.04 + 3516.8 = 13,363.84

Answer:

x=-3

x=-5

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Let's consider the number we want is x

x-3/10=1/5

On both sides of the equation, if we substract (or add) a certain number, say 3/10, the equality relation still exists.

That is x-3/10+3/10=1/5+3/10

Then x=1/5+3/10

You see 1/5+3/10=2/10+3/10=1/2

So x=1/2

Answer:

6root2

Step-by-step explanation:

3-1,5-1. (2,4)

R=root(4+16). =6root 2

Answer:

The bases are parallel to each other.

Angles next to each other sum up to 180°

The lower base angles are congruent.

The upper base angles are congruent.

Step-by-step explanation:

Answer:

$8.05

Step-by-step explanation:

This answer is found by making an equation that represents this word problem which uses the formula %(decimal form)(original price).

Using this formula, the equation representing this word problem is 0.15(7).

When evaluated, gives us $1.05 (the mark up).

Then, this must be added to the original price using the formula (original price+mark up);

1.05+7.00

Answer= $8.05

Answer:

y-(-7) = 2(x-(-10))

Step-by-step explanation:

Point slope form: y-y1 = m(x-x1)

Answer:

h = 1053 ft (to the nearest foot)

Step-by-step explanation:

The sum of the interior angles of a triangle is 180°

Therefore, the angle at the bottom vertex of the triangle is:

180 - 69.2 - 65.5 = 45.3°

Sine rule:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

where A, B and C are the angles in a triangle, and a, b and c are the sides opposite those angles (e.g. side a is opposite angle A).

Now we can use the sine rule to calculate the length of the diagonal sides of the triangle.

Let a = the length of the right diagonal (the side with unknown length adjacent to angle 65.5°)

[tex]\dfrac{a}{\sin(69.2)}=\dfrac{880}{\sin(45.3)}[/tex]

[tex]\implies a=1157.353973...[/tex]

Now we can use the sine trig ratio to determine h:

[tex]\sin(65.5)=\dfrac{h}{1157.353973...}[/tex]

[tex]\implies h=1053.147292...[/tex]

Therefore, h = 1053 ft (to the nearest foot)

Answer:

  1053 feet

Step-by-step explanation:

We choose to solve this problem using the tangent relation. It relates an acute angle to the adjacent and opposite legs of a right triangle.

  Tan = Opposite/Adjacent

  Opposite = Adjacent × Tan

__

For this to be useful here, we need to know the angles at the bottom of the figure. The left-side angle is 90° -69.2° = 20.8°. The right-side angle is 90°-65.5° = 24.5°. The tangent relation tells us ...

  bridge left side + bridge right side = 880 ft

  h×tan(20.8°) +h×tan(24.5°) = 880 ft

  h = (880 ft)/(tan(20.8°) +tan(24.5°)) = (880 ft)/(0.37986 +0.45573)

  h ≈ 1053.147 ft

The bridge is about 1053 feet high.

Answer:

852

Step-by-step explanation:

Answer:

852

Step-by-step explanation:

Using PEMDAS:

Multiply the numbers

88 × 9 - 60 - 80 + 200

792 - 60 - 80 + 200

Subtract the numbers

792 - 60 - 80 + 200

652 + 200

Add the numbers

652 + 200

= 852

[RevyBreeze]

Answer:

x < 5

Explanation:

 7*x-35-(2*(x-5))<0

 (7x - 35) -  2 • (x - 5)  < 0

Pull out like factors :

  5x - 25  =   5 • (x - 5)

 5 • (x - 5)  < 0

Divide both sides by  5

Add  5  to both sides

x < 5

Answer:

60 ft^3

Step-by-step explanation:

assuming the entire height is nine

4.5 * 4 * 5 /3=30

30*2=60

First,

Answer:

if f(x)=3×-2and g(x)=-x+1then so f=3×andx=-2 so the answer is 3×3×-2

Answer:

C

Step-by-step explanation:

Plug in g(x) into the variable x of f(x), we get:

[tex](fog) = 2(x+3)-1 = 2x+6-1=2x+5[/tex]

Area of chalkboard = 4 feet x 6 feet = 24 square feet.

Total cost = 24 square feet x $7.21 per square foot = $173.04

Answer: $173.04

Answer:

D

Step-by-step explanation:

Equation of a line given by the two-point form is:

(y-y1)/(x-x1) = (y1-y2)/(x1-x2)

(y-(-1))/(x-1) = (-1-3) / (1-2)

(y+1)/(x-1) = -4 / -1

y+1 = 4(x-1)

y = 4x-4-1

y = 4x - 5

y-intercept at x=0 is -5

Answer is D.

Solution:

We know that:

Picking any point:

Using point slope form:

Comparing the equation with the formula:

⇒ m = slope = 4

⇒ b = y-intercept = -5

Answer:

Step-by-step explanation:

Rhombus: All sides are congruent,  2 pairs of parallel sides,

Parallelogram: 2 pairs of parallel sides,

Square: All sides are congruent,  2 pairs of parallel sides, four right angles

Answer:

(a)  325

(b)  350

(c) The online retailer has a better deal.

Step-by-step explanation:

250 * 130% = 325

25- * 140% = 350

325 is less than 350, so its the better deal.

Answer:

Ashley painted the larger fraction of their ceiling.

Step-by-step explanation:

I have no idea how large this ceiling is in this problem or what rate they are painting at; However, 1/2 is considered larger than 1/4.

Answer:

Ashley: 1/2 = 0.5

Alex: 1/4 = 0.25

0.25 < 0.5 Therefore Ashley painted more of their ceiling.

Answer: 180.5

Step-by-step explanation:

[tex]\sqrt{121^{2}+134^{2}} \approx 180.5[/tex]

Answer:

5b + 4 = 89

b = 17

Step-by-step explanation:

Work shown in picture! Hope this helped.

Hey there!

2(x + 1) > 3x - 2

DISTRIBUTE 2 WITHIN the PARENTHESES:

2(x) + 2(1) > 3x - 2

CONVERSION:

2x + 2 > 3x - 2

SUBTRACT 2 to BOTH SIDES:

-x + 2 - 2 > -2 - 2

SIMPLIFY IT!

NEW EQUATION:

-x > -4

CONVERSION 2:

-1x > -4

DIVIDE -1 to BOTH SIDES

-1x/-1 > -4/-1

SIMPLIFY IT!

x < 4

Therefore, your answer is: x < 4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

We are given with an inequality and need to find it's solution set and need to represent it on number line too. Let's start !!!!

[tex]{:\implies \quad \sf 2(x+1)\> 3x-2}[/tex]

[tex]{:\implies \quad \sf 2x+2\> 3x-2}[/tex]

Subtracting 2x from both sides ;

[tex]{:\implies \quad \sf \cancel{2x}+2-\cancel{2x}\> 3x-2-2x}[/tex]

[tex]{:\implies \quad \sf 2\> x-2}[/tex]

Adding 2 to both sides :

[tex]{:\implies \quad \sf 2+2\> x-\cancel{2}+\cancel{2}}[/tex]

[tex]{:\implies \quad \sf 4\> x }[/tex]

[tex]{:\implies \quad \sf x\< 4}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{x\in (-\infty,4)}}}[/tex]

Refer to the attachment for representation

Answer:

12, 20, 28

Step-by-step explanation:

The equation s=r+4 shows that no matter the value of r, s will always be 4 more. This means that whatever number is in the r-value of the table, you need to add 4 to it to get your s-value. So when r=8, s=12 and so on.

Step-by-step explanation:

Hello, first you have to substitute x=-3 in 12-3x which is 12-3(-3)= 12+9=21. So number 1 is 21. You continue like that till you finish.

2. You substitute x=-3 in y=x^2 +3x - 2. So that would be y= - 3^2+3(-3)-2. Which is 9+(-9)-2 which will be 9-9-2=-2. So the first blank space for number 2 is - 2.

Answer:

The area of the parallelogram is equal to 300 square feet.

Step-by-step explanation:

Answer:

The first common number are 2 and 3

their comnon multiple is 6

So, the fourth number will be 24 because

multiple means we should multiply 4*6 it will be 24.