All categories

3 years ago

Write the letter for each expression in the box under the correct category in the table.

Mathematics

1 answer:

Ad libitum [116K]3 years ago

5 0

Answer:

a) 9+(-3) + (-2) = 9 -5 = 4> 0 ⇒ Positive Sum

b) -12 +1 +11 = -12 +12 5 = 0 ⇒ Zero Sum

c) -3 +8 + (-4) = -7 + 8 -5 =-1 < 0 ⇒ Negative Sum

d) -4+9+(-10) = 9 -14 = -5 < 0 ⇒ Negative Sum

e) 3+(-2) + (-4) = 3 -6= -3 < 0 ⇒ Negative Sum

f) 2 + (-4) + 2 = 4 -4 = 0 ⇒ Zero Sum

Step-by-step explanation:

Positive Sum is defined as the condition in which the Sum of total of gains and losses is GREATER THAN ZERO.

Zero Sum is defined as the condition in which the Sum of total of gains and losses is EQUAL TO ZERO.

Negative Sum is defined as the condition in which the Sum of total of gains and losses is LESS THAN ZERO.

Now, here

a) 9+(-3) + (-2) = 9 -5 = 4> 0 ⇒ Positive Sum

b) -12 +1 +11 = -12 +12 5 = 0 ⇒ Zero Sum

c) -3 +8 + (-4) = -7 + 8 -5 =-1 < 0 ⇒ Negative Sum

d) -4+9+(-10) = 9 -14 = -5 < 0 ⇒ Negative Sum

e) 3+(-2) + (-4) = 3 -6= -3 < 0 ⇒ Negative Sum

f) 2 + (-4) + 2 = 4 -4 = 0 ⇒ Zero Sum

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Answer:

306.324

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Step-by-step explanation:

Hope it helped!

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2 years ago

What’s the answer to this ?

Alexus [3.1K]

Answer:

59.44 units²

Step-by-step explanation:

The area of each triangular section can be computed from the side length (5 units) and the central angle (72°) as ...

... section area = (1/2)sin(72°)·5² ≈ 12.5·0.951057 ≈ 11.8882 . . . units²

Then 5 such sections will have an area of ...

... pentagon area = 5·11.8882 units² = 59.4410 units²

_____

<em>Comment on central angle</em>

The central angles total 360°. There are 5 equal sections, so the central angle for each of them is 360°/5 = 72°.

<em>Comment on area formula</em>

It can be occasionally handy to know that the area of a triangle can be computed from the lengths of adjacent sides and the angle between them. The formula for sides of length "a" and "b" and angle β is ...

... A = (1/2)ab·sin(β)

5 0

4 years ago

(This is a "show your work" type of assignment)

joja [24]

Answer:

Part 1) It is not possible to apply the Pythagorean Theorem to find the missing side, because is not a right triangle

Part 2) I would use the law of the cosine, because to apply the law of sine I would need to know the value of angle C or angle B

Part 3) The length of side CB is $369\ units$

Part 4) The measure of angle C is $35\°$

Part 5) The measure of angle B is $88\°$

Step-by-step explanation:

Part 1) Can you use Pythagorean Theorem to find the missing side?

we know that

The Pythagorean Theorem is used in a right triangle

The triangle ABC of the figure is not a right triangle

therefore

It is not possible to apply the Pythagorean Theorem to find the missing side

Part 2) Would you use Law of Sine or Law of Cosine to find the length of side CB?

I would use the law of the cosine, because to apply the law of sine I would need to know the value of angle C or angle B

Part 3) Find the length of side CB. Show your work and round your answer to the nearest whole number

Applying the law of cosine

$BC^{2}=AB^{2}+AC^{2}-2(AB)(AC)cos(A)$

substitute the values

$BC^{2}=255^{2}+440^{2}-2(255)(440)cos(57\°)$

$BC^{2}=136,408$

$BC=369\ units$

Part 4) Find the measure of angle C. (Hint: use the other “Law”). Round your answer to the nearest whole degree

Applying the law of sines

$\frac{AB}{sin(C)}=\frac{CB}{sin(A)}$

substitute the values

$\frac{255}{sin(C)}=\frac{369}{sin(57\°)}$

$sin(C)=255*sin(57\°)/369=0.5796$

$C=arcsin(0.5796)=35\°$

Part 5) What is the measure of angle B? Show your work and round your answer to the nearest whole degree.

Remember that

the sum of the interior angles of a triangle must be equal to 180 degrees

substitute the values and solve for <B

$57\°+$

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3 years ago

I am a 2 digit number, add my digits together and you get 5, I am not an odd number, I am greater than 45, what am I?

blagie [28]

The only possibility is 50.

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3 years ago

What best describes the expression y over 4

Free_Kalibri [48]

Answer:

y/4

Step-by-step explanation:

b/c y is divided 4 so,y/4.

6 0

2 years ago

Read 2 more answers