A square table in the cafeteria has the dimensions shown. What is the length of the diagonal of the table? Round to the nearest hundredth of a foot.

Answer:

LCM,

(Least common multiple)

100 and 132 is 3300

The GCF

(Greatest common factor)

100 and 132 is 4

Answer:

9 ounces.

Step-by-step explanation:

Answer:

12 ounces on the box

Step-by-step explanation:

l have tried

Answer:

0 < x < 6

Step-by-step explanation:

triangle sides:

other sides subtracted < third side < other sides added

4-3 < x+1 < 4+3

1 < x+1 < 7

1-1 < x+1-1 < 7-1

0 < x < 6

Hope this helps :)

9514 1404 393

Answer:

  a) A = 73°, C = 59°, a = 16.7

  b) A = 11°, C = 121°, a = 3.3

Step-by-step explanation:

The Law of Sines can be used to find angle C. Then the sum of angles in the triangle can be used to find angle A. The length of 'a' can be found either from the Law of Sines or the Law of Cosines at that point.

The given angle is opposite the shorter of the two given sides, so there are two possible solutions.

Acute triangle solution

The Law of Sines gives the relation ...

  sin(C)/c = sin(B)/b

  sin(C) = (c/b)sin(B)

  C = arcsin(c/b·sin(B)) = arcsin(15/13·sin(48°)) ≈ 59°

Then angle A is 132° -59° = 73°, and side 'a' is ...

  a = 13·sin(A)/sin(B) = 13·sin(73°)/sin(48°) ≈ 16.7

__

Obtuse triangle solution

The other value of arcsin(15/13·sin(48°)) is used:

  C ≈ 121°   ⇒   A = 11°

  a = 13·sin(11°)/sin(48°) ≈ 3.3

__

The two solutions are ...

  A = 73°, C = 59°, a = 16.7

  A = 11°, C = 121°, a = 3.3

We note that the drawing is of an acute triangle, so that solution may be the one that is preferred.

_____

Additional comment

In the above presentation, we have rounded angle values to the precision required by the problem statement (nearest degree). However, in the actual calculations, we have used the full calculator precision. Only the final answers have been rounded.

Answer:

Commission rate= 5% of sales

Step-by-step explanation:

Giving the following information:

Fixed salary= $325

Monthly salary= $360

Sales= $700

First, we need to calculate the commissions:

Commission= monthly salary  - fixed salary

Commission= 360 - 325

Commission= $35

Now, the commission rate:

Commission= commission rate* sales

35 = commission rate*700

0.05= commission rate

commission rate= 5% of sales

Answer:

10 1/2 sticks, or 11 sticks with half a stick left over.

Step-by-step explanation:

If every student (and there are 14 students) needs 3/4 stick of butter, the equation is 3/4 x 14 = 10 1/2

Answer:

Angle BCD = 73 + 53 = 126 degrees

Step-by-step explanation:

Answer:

Camille:[tex]y=\frac{n}{2} +\frac{3}{2}[/tex]

Olivia: [tex]y=x+4[/tex]

Step-by-step explanation:

hope it helps have a great day

Answer:

9 ft

Step-by-step explanation:

its volume is equal to the area by height;

(2.5 x 3)h = 67.5

h = 9ft

Given:

Volume of triangular prism is 67.5 cubic feet

Height of triangular prism is 3 feet

Base width of triangular prism is 5 feet

Length of triangular prism is 't'

To find:

Value of 't'

Steps:

The formula for volume of triangular prism is,

volume of triangular prism = [tex]\frac{1}{2}[/tex] × Width × Height × Length

67.5 = [tex]\frac{1}{2}[/tex] × 5 × 3 × t

67.5 = [tex]\frac{1}{2}[/tex] × 15 × t

[tex]\frac{67.5}{15} = \frac{t}{2}[/tex]

[tex]4.5 = \frac{t}{2}[/tex]

[tex]4.5 * 2 = t[/tex]

[tex]9 = t[/tex]

[tex]t = 9[/tex]

Therefore the value of 't' is D) 9 feet

Happy to help :)

If you have any doubt or explanation feel free to ask

Answer:

b

Step-by-step explanation:

Answer:

1. Dosis de la vacuna de Oxford

Step-by-step explanation:

6 and 3/4 divided by 1/2

27/4 divided by 1/2

27/4 * 2/1 = 27/2 = 13 and 1/2

Answer: D) [tex]64%[/tex]% well I did not find the exact percent but I figured out it had to be more the [tex]50%[/tex]% so D

Step-by-step explanation:

Answer:

x(x+3)(x−10)

Step-by-step explanation:

Hope this was helpful let me know if it was!

Answer:

Mark's Ball is thrown from a greater height off the ground. Roberto's ball reaches a greater maximum height.

Step-by-step explanation:

I took the test.

An area that is 20 feet wide and 25 feet long will be 20*25 = 500 square feet large. Division tells us how many times one number is contained within a number, so to find how many 2.5 square feet large people fit in a 500 square feet large space, we do 500/2.5 = 200 people.

Answer:

in a parallelogram .......the sum.of adjacent angles is 180

11x-10+80=180

11x=110

x=10

Answer:

47,433.0 feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Height of the plane = opposite = 17000feet

distance between the plane and the airport = hypotenuse = x

Angle of depression = 21 degrees

Since Sin theta = opp/hyp

Sin 21 = 17000/x

x = 17000/sin21

x = 17000/0.3584

x = 47,433.0

Hence the distance between the plane and the airport to the nearest 10th of a foot is 47,433.0 feet

Answer:

47437.3

Step-by-step explanation:

Answer:

$39

Step-by-step explanation:

32.50:100 × 20 = $6.50

32.50+6.50 = $39

Answer:

5x + y - 2 + 3 - 1

Step-by-step explanation:

Answer:

13/7 - (14/21 + 15/21)

Step-by-step explanation:

= 13/7 - ( 29/21)

= 39/21 - 29/21 = 10/21 = 0.47

Answer:

that's the answer .......

Answer:

B

Step-by-step explanation:

Assuming that he doesn't buy any upgrades it will take 280/35 = 8 months to save enough money to buy the ring. Taking the possibility that he may buy an upgrade too we can say that it will take 8 months or more to buy the ring.

Answer:

picture?

Step-by-step explanation:

Answer:

y = 16x

Step-by-step explanation:

The length of one side of the square is approximately 0.4 units.

Let's assume that the side length of the square is "s" units.

When the square sheet of paper is cut in half along the diagonal, it forms two equal right-angled triangles. The area of each triangle is given as 0.08 square units.

The formula for the area of a right-angled triangle is:

Area = (1/2) * base * height

Since the triangles are equal, we can write:

0.08 = (1/2) * base * height

Now, let's find the base and height of one of the triangles. Since the triangle is a right-angled triangle, the base and height are the legs of the triangle.

Let's assume the base and height of one triangle are "b" and "h," respectively.

0.08 = (1/2) * b * h

We are given that the area of each triangle is 0.08 square units, so we can write:

0.08 = (1/2) * s * s

Now, we can solve for "s":

[tex]s^2 = 0.08 * 2\\s^2 = 0.16[/tex]

Take the square root of both sides:

[tex]s = \sqrt{0.16}\\s \approx 0.4[/tex]

So, the length of one side of the square is approximately 0.4 units.

To know more about square:

https://brainly.com/question/32865510

#SPJ2

Answer:

v2(v+7)(v+2)(v−2)

Step-by-step explanation:

Answer:

c= 10 d=2 e=10 f=2 g= 10 h= 6 k=1

Step-by-step explanation:

I am not sure about the g, h and k though.

but cube root means the number thrice.

I hope it helps.

Answer:

672

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

If 9 inches equal 27 what you would do is divide in order to find how much feet would be in 1 inch. So:

9/27= 3 feet

Then to find how much feet are equal to 3 inches you just multiply that by 3. So your answer is 9 feet.

Overall the work should look like

9 inches= 27 feet

9/9 inches= 27/9 feet

1 inch = 3 feet

3 inches x 3 feet

= 9