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Ivanshal [37]
3 years ago
5

Jonah tore the angles off a large paper triangle. Then he arranged the three paper angles with their points together so that the

re were no gaps and no overlaps. What kind of Angle did Jonah form?
Mathematics
1 answer:
bonufazy [111]3 years ago
7 0

Answer:

Jonah formed a straight angle.

Step-by-step explanation:

  • Acute angle is an angle less than 90 degrees.
  • Obtuse angle is an angle greater than 90 but less than 180 degrees.
  • Reflex angle is greater than 180
  • Straight angle is equal to 180.

We know 3 angles of a triangle (no matter scalene, isosceles, right, equilateral triangle) sum up to 180 degrees. So, if Jonah were to cut of the 3 angles and put them points together, no overlap, he would eventually have a 180 degree angle, or a straight angle.

Jonah formed a straight angle.

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The height in feet above the water of a diver can be modeled by ℎ() = −16*2 − 16 + 192, where t is the time in seconds after the
Maurinko [17]

h(t) is the height of the diver in feet above the water

Now it asks about the time at which diver reaches the water

When diver reaches the water , the height of diver from water should be zero

So we plug h(t) =0

So

-16t^2 -16 t +192 =0

divide whole equation by -16

t^2 +t -12 =0

we can now factor the quadratic equation

So we get

(t+4)(t-3) =0

plug each factor equal to zero and solve for t

t+4 =0 and t-3 =0

So t=-4 and t=3

Now time cannot be negative , So t=3

So time = 3 seconds

It takes 3 seconds for the diver to reach the water

3 0
4 years ago
When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam. They had 504 chocolates altogether. How m
IgorLugansk [536]

Answer:

315 chocolate

Step-by-step explanation:

Let Sam's chocolate be S

Let Clariss's chocolate be C

When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam.

This can be written as:

C = 5S

The sum of their chocolate is 504 i.e

S + C = 504

Now, let us determine the chocolate of Clarissa after receiving 105 chocolate from Sam. This can be obtained as follow:

S + C = 504

But: C = 5S

S + 5S = 504

6S = 504

Divide both side by 6

S = 504/6

S = 84.

C = 5S = 5 x 84 = 420

Therefore, Clarissa have 420 chocolate after receiving 105 chocolate from Sam.

Now, to know the amount of chocolate that Clarissa has at first, we simply subtract 105 from the present amount that Clarissa have. This is illustrated below:

Amount of chocolate that Clarissa has a first = 420 – 105 = 315

Therefore, Clarissa had 315 chocolate at first.

3 0
3 years ago
What is the equation of the line that has a slope of -3 and passes through the point (4,6)?
garri49 [273]

Answer:

y = -3x + 18

Step-by-step explanation:

y = mx + b

m = -3

6 = (-3) * 4 +b

b = 6 - (-3) * 4

b = 6 +12

b = 18

y = -3x + 18

6 0
3 years ago
The daily cost of producing x high performance wheels for racing is given by the following​ function, where no more than 100 whe
algol [13]

Answer:

The production would be 25 wheels,

Lowest average cost is $ 123.75

Step-by-step explanation:

Given cost function,

C(x) = 0.09x^3 - 4.5x^2 + 180x

Where,

x = number of wheel,

So, the average cost per wheel,

A(x) = \frac{C(x)}{x}=\frac{0.09x^3-4.5x^2 + 180x}{x}=0.09x^2 - 4.5x + 180

Differentiating with respect to x,

A'(x) = 0.18x - 4.5

Again differentiating with respect to x,

A''(x) = 0.18

For maxima or minima,

A'(x) = 0

0.18x - 4.5 = 0

0.18x = 4.5

\implies x = \frac{4.5}{0.18}=25

For x = 25, A''(x) = positive,

i.e. A(x) is maximum at x = 25.

Hence, the production would be 25 wheels for the lowest average cost per​ wheel.

And, lowest average cost,

A(x) = 0.09(25)² - 4.5(25) + 180 = $ 123.75

5 0
4 years ago
Can someone help me picture inserted
densk [106]

Answer:

~77°

Step-by-step explanation:

cosQ = 9/40

inverse cosine(9/40) ≈ 77° = Q

7 0
3 years ago
Read 2 more answers
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