what is the length of the hypotenuse of the triangle when x=7?

Answer:

[tex]y = 56.6208[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find y

To find y, we make use of the relationship between sides lengths 44 & y and angle 39

The relationship is:

[tex]cos(39) = \frac{44}{y}[/tex]

i.e.

[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

Make y the subject

[tex]y = \frac{44}{cos(39)}[/tex]

[tex]y = \frac{44}{0.7771}[/tex]

[tex]y = 56.6208[/tex] -- approximated

Answer:

0.17189

0.3504

Step-by-step explanation:

For a fair coin ; p = 0.5

1 - p = 0.5

P(x < 4) = p(x = 0) + p(x =1) + p(x = 2) + p(x = 3)

Recall:

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Using a calculator to save time:

P(x <4) = 0.00098 + 0.00977 + 0.04395 + 0.11719

P(x < 4) = 0.17189

For a unfair coin :

p = 0.3 ; 1 - p = 1 - 0. 3 = 0.7

P(x ≥ 4) = p(x=4)+p(x =5)+p(x=6)+p(x=7)+p(x=8)+p(x=9) +P(x=10)

Recall:

P(x =x) = nCx * p^x * (1 - p)^(n - x)

Using a calculator to save time:

P(x ≥4) = 0.3504

Answer:

18cm^2

Step-by-step explanation:

The computation of the area of the shaded region is shown below:

But before that the x value is

x ÷ 8 = (x+2) ÷ 10

10x = 8x + 16

10x - 8x = 16

2x = 16

x = 8

Now as we know that

Area = base ×  height

= 2cm × 8cm

= 16cm²

Now for small triangle

Area  = 1 ÷  2(base)(height)

= 1 ÷ 2 × (2)(2)

=4 ÷ 2

A = 2cm²

Now the total area of the shaded region is

= 16cm^2 + 2cm^2

= 18cm^2

Answer:

16

Step-by-step explanation:

The base of a cylinder is a circle. The equation to find the area of a circle is A=r^2. A is the area, r is the radius. So, first r squared. 4 times 4 is 16. Then you multiply 16 times , and end up with 16.

Answer:

The answer is B because left and down are negative

The profit equation is:

p(x) = -0.5*x^2 + 70x - 200

The domain is:

x ∈ [0, 140], such that x ∈ Z

and the profit is larger for 70 items.

We know that:

Cost equation:

c(x) = 50*x + 200

revenue equation:

r(x) = -0.5*(x - 120)^2 + 7,200

The maximum capacity is 140

Then x can be any value in the range [0, 140]

We want to find the profit equation, remember that:

profit = revenue - cost

Then the profit equation is:

p(x) = r(x) - c(x)

p(x) = ( -0.5*(x - 120)^2 + 7,200) - ( 50*x + 200)

Now we can simplify this:

p(x) =  -0.5*(x - 120)^2 + 7,200 - 50x - 200

p(x) =  -0.5*(x - 120)^2 + 7,000 - 50x

p(x) = -0.5*(x^2 - 2*120*x + 120^2) + 7,000 - 50x

p(x) = -0.5*x^2 + 120x - 7,200 + 7,000 - 50x

p(x) = -0.5*x^2 + 70x - 200

Now we want to answer, what is the domain of p(x)?

The domain is the set of the possible inputs of the function.

Remember that x is in the range [0, 140], such that x should be a whole number, so we also need to add x ∈ Z

then:

x ∈ Z ∧ x ∈ [0, 140]

Then that is the domain of the profit function.

Now we want to see the profit for 70 and 80 items, to do it, just evaluate p(x) in these values:

70 items:

p(70) = -0.5*70^2 + 70*70 - 200 = 2,250

p(80) = -0.5*80^2 + 70*80 - 200 = 2,200

So the profit is smaller for the larger number of items, why does this happen?

You can see that the profit equation is a quadratic equation with a negative leading coefficient, so, as the value of x increases after a given point (the vertex of the quadratic) the profit will start to decrease.

If you want to learn more about quadratic functions, you can read:

https://brainly.com/question/22889366

Answer:

m= 9

Step-by-step explanation:

63/7

Answer:

The value of each *m* is 9

Step-by-step explanation:

Mark Brainly

Answer:

a

Step-by-step explanation:

the volume of a square pyramid is V=1/3bxh

Answer:

Since we know that the sum of the two angles equal 180, we can add them together to equal 180 degrees.

2x+10+x+26=180

Combine like terms.

3x+36=180

Subtract 36 from both sides.

3x=144

Divide 3 from both sides.

x=48

Hope this helps :)

Step-by-step explanation:

Answer:

8. 96

9. ?

10. 1

Step-by-step explanation:

I don't think your showing the whole image. I don't see the goal.

Answer:

b

Step-by-step explanation:

r=d/2=11.4/2=5.7

slant surface area=2πr*h=11.4×3.14×4.4=157.5024 cm^2

area of base and top=2(πr²)=2×3.14×(5.7)²=204.0372 cm²

total surface area=157.5024+204.0372=361.5396=361.5 sq. cm

Answer:

edf

Step-by-step explanation:

Answer:

161 hope it helps

Step-by-step explanation:

God bless

Answer:

Suppose that in the inventory problem, the storage cost depends on the maximum inventory size, rather than the average. This would be more realistic if, for example, the company had to build a warehouse large enough to hold the maxi- mum inventory, and the cost of storage was the same no matter how full or empty the warehouse was. Show that in this case the number of units that should be ordered or manufactured to minimize the total cost is q= âfM/k

Step-by-step explanation:

Suppose that in the inventory problem, the storage cost depends on the maximum inventory size, rather than the average. This would be more realistic if, for example, the company had to build a warehouse large enough to hold the maxi- mum inventory, and the cost of storage was the same no matter how full or empty the warehouse was. Show that in this case the number of units that should be ordered or manufactured to minimize the total cost is q= âfM/k

Answer:

9

Step-by-step explanation:

2x + 3y - 2 =9

(2) + (9) -2 =9

Answer:

144

Step-by-step explanation:

product of 3 and 4 = 12

square of 12 = 144

Answer:

C -1/2

Step-by-step explanation:

midpoint = sum of end points divide by 2.

here, midpoint = (-3+2)/2

=(-1/2)

Answer:

- 1 / 2

Step-by-step explanation:

→ Add the 2 numbers together

-3 + 2 = -1

→ Divide answer by 2

- 1 ÷ 2 = - 1 / 2 or - 0.5

Answer:

In any triangle: The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle.

Step-by-step explanation:

Answer:

shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle.

Answer:

12 years old

Step-by-step explanation:

7 + 5 = 12

T + 5

Answer:

400

Step-by-step explanation:

25*35=700

10*30=300

700-300=400

Answer:

Step-by-step explanation:

It would be b if im wrong Im so sorry <>.<> I tried my best to do everything or get everything right and I did the math~ also have skittles and m&m's~ ∨

Answer:

M>5

Step-by-step explanation:

Lets just rewrite the equation

8m>40 is the same as m(8)>40

lets divide

8m / 8>40/8

m>5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

L = 1/3 W

Step-by-step explanation:

If you look at the table, you can see that all of the water is divided by three to find the amount of lemon juice. Using the process of elimination, this answer choice is the only one containing the number "3."