A construction crew has two 100ft. beams with which to form the walls of a tent that needs to be 80ft. high. At what angle do they need to place the beams into the ground in order to form their tent? Round your answer to the nearest tenth of a degree.
A. 14.0 degrees
B. 36.9 degrees
C. 38.7 degrees
D. 53.1 degrees

Answer:

28, 44, 22

Step-by-step explanation:

a+b+c = 94

2×c = b

a = c+6

=>

c+6 + 2×c + c = 94

4×c + 6 = 94

4×c = 88

c = 22

=>

b = 2×22 = 44

a = 22 + 6 = 28

Answer:

imagine a triangle

one side is just upwards trough the cone, one side is the radius of the circle and the last one is the slant height.

remember the pythagoras stuff

so

(slantheight)² = radius² + height²

or finally:

slantheight = squareroot (radius² + height²)

Answer:

(a)

Sample space:

Total 16 outcomes

(b)

(a) Sample space:

Total 8 outcomes

(b)

(i) 1T, 3T

(ii) 1H, 4H

(iii) 1H, 2H, 3H, 4H

Answer:

45cm

Step-by-step explanation:

Since they are simliar, they are proportional.

SO, you can do AC/XZ = BC/YZ

You can also see that XZ is 5 times larger than AC

SO multiply BC by 5.

Answer:

r ≈ 7.9 inches

Step-by-step explanation:

V(cylinder) = πr²h

196 = πr²(1)

196/π = r²

62.4 = r²

√62.4 = r

r ≈ 7.9

Answer:

A=90, B=86.896551724,C=90/29

Step-by-step explanation:

B+C=90

(x28)+x=90

x=90/ 29

((90/29)28)=B

A=90° because there is the symbol indicating a right angle

Answer:

B

Step-by-step explanation:

3 ¾ = 3.75. hope this helps!

Answer:

a= 4. b=19. n=4. d= b-a/n+1= (19-4)/(4+1)= 15/5=3. Hence, d=3.

Step-by-step explanation:

Do you also want an explanation?

Answer:

7  10  13   16

Step-by-step explanation:

a1 = 4

a6 = 19

n = 6

d = ?

a6  = a1 + (n - 1)d        

19 = 4 + (6 - 1)*d

19 - 4 = 5*d

15 = 5d

d = 15/5

d = 3

So the sequence is

4,7,10,13,16,19

Answer:

The correct option is (2,1);maximum. The explanation is given below. The vertex of the parabola is the point where the parabola crosses its axis of symmetry. the vertex will be the lowest point on the graph, the point at the bottom of the " U "-shape.

Step-by-step explanation:

thank me later

Answer:

3.167 liters

Step-by-step explanation:

1 liter = 1,000 milliliters

3,167 milliliters * 1liter/1,000milliliters = 3.167 liters

Answer:

-11

Step-by-step explanation:

let (2,1)be x1 and y1 respectively

(3,-10) be x2 and y2 respectively

From,slope= (y2-y1)/(x2-x1)

=(-10-1)/(3-2)

= -11/1

= -11

This answer is Nonlinear

Answer:

(h/g)(x) = x² - 2x

Step-by-step explanation:

h(x) = x³ - 4x

g(x) = x + 2

(h/g)(x) = h(x)/g(x) = (x³ - 4x) / (x + 2) = x² - 2x

Answer:

every parallelogram is a square? False

every rectangle with four congruent sides is a square? True

every rectangle is a quadrilateral? True

every quadrilateral is a rectangle?​ False

Step-by-step explanation:

every parallelogram is a square?

A parallelogram has two opposite pairs of parallel lines and opposite congruent sides. A square needs to have 4 right angles and all sides need to be equal. In the restrictions of a parallelogram, these cannot be concluded, therefore parallelogram are not always squares.

every rectangle with four congruent sides is a square?

Square require 4 congruent sides and 4 right angles. Rectangles already have  4 right angles. If you add 4 congruent sides to the mix, it means that these rectangles are always squares.

every rectangle is a quadrilateral?

A quadrilateral is defined by a shape having 4 sides. Rectangles have 4 sides, so they fit into the category of quadrilaterals.

every quadrilateral is a rectangle?​

A quadrilateral is a just a shape with four sides. We do not know if it has 4 right angles, so not every quadrilateral is a rectangle.

Done done done, W=3.46+8.5

W=11.96!

Hit the heart if it was helpful!

Answer:

11.96

Step-by-step explanation:

Answer:

n = 3/5

Step-by-step explanation:

Represent this quotient as:

   n

---------

-2/3

and set it equal to -9/10:

   n           -9

--------- = -------

-2/3          10

Cross multiplication yields:

10n = 6, so that n = 6/10 or n = 3/5

Answer:

y = -2

Step-by-step explanation:

The graph shows y = -2.

Answer:

Can you make it better? because it looks so blur.

Answer:

positive

Step-by-step explanation:

negative slopes go from right to left; this line goes from left to right

0; the line isn't completely horizontal

undefined; the line isn't completely vertical

Answer:

x=-9

Step-by-step explanation:

Answer:

Triangle c

Step-by-step explanation:

First is Isosceles as the two sides are the same. The second is also isosceles and the fourth does not make a right angle.

Answer:

x = -37/32

Step-by-step explanation:

32x + 26 = -11

Subtract 26 from each side

32x + 26-26 = -11-26

32x = -37

Divide each side by 32

32x/32 = -37/32

x = -37/32

Answer:

x= -1 5/32 or x=-1.15625

Step-by-step explanation:

Answer:

4 ounces

Step-by-step explanation:

If you divide 228 by 8, you will get 28.5. The 0.5 into a fraction would be 1/2. Half of 8 would be 4. In the end, there should be 28 full 8-ounce cups and one cup with 4 ounces.

Answer:

The answer is (3,0)

Step-by-step explanation:

Answer:

Mixed martial artist

Step-by-step explanation:

Answer:

a. x^(5/6) + 2x^(7/3)

Step-by-step explanation:

____

Answer:

[tex] \displaystyle 27150200[/tex]

Step-by-step explanation:

we are two conditions

In choosing a committee, order doesn't matter; in case of teachers we need the number of combinations of 3 people chosen from 12

remember that,

[tex] \displaystyle\binom{n}{r} = \frac{n!}{r!(n - r)!} [/tex]

with the condition we obtain that,

therefore substitute:

[tex] \displaystyle\binom{12}{3} = \frac{12!}{3!(12 - 3)!} [/tex]

simplify Parentheses:

[tex] \displaystyle\binom{12}{3} = \frac{12!}{3! \cdot9!} [/tex]

rewrite:

[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{(1 \times 2 \times 3 )\cdot1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9} [/tex]

reduce fraction:

[tex] \rm \displaystyle\binom{12}{3} = \frac{12 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]

rewrite 12 and 10:

[tex] \rm \displaystyle\binom{12}{3} = \frac{3 \times 2 \times 2 \times 11 \times 10}{1 \times 2 \times 3 } [/tex]

reduce fraction:

[tex] \rm \displaystyle\binom{12}{3} = 2 \times 11 \times 10[/tex]

simplify multiplication:

[tex] \rm \displaystyle\binom{12}{3} = 220[/tex]

In case of students we need the number of combinations of 4 students choosen from 43 therefore,

[tex] \displaystyle\binom{43}{4} = \frac{43!}{4!(43 - 4)!} [/tex]

simplify which yields:

[tex] \displaystyle\binom{43}{4} = 123410[/tex]

hence,

The committee of 7 members can be selected in BLANK different ways is

[tex] \displaystyle 123410 \times 220[/tex]

[tex] \displaystyle \boxed{27150200}[/tex]

and we're done!