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2 years ago

3.) Fill in the blank.

Mathematics

1 answer:

KIM [24]2 years ago

5 0

Answer:

The answer to your question is tan²Ф

Step-by-step explanation:

Trigonometric identities are equalities that relate trigonometric functions and are true for every value of it. There are many trigonometric functions and are useful in trigonometry.

The trigonometric identity that is the answer to this question is tan²Ф.

tan²Ф + 1 = sec²

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a square dance set requires 4 couples 8 dancers with each couple standing on one side of a square. There are 250 people at a squ

sveta [45]

Given:

1 set requires 4 couples 8 dancers.

Total number of people at a square dance = 250.

To find:

The greatest number of sets possible at the dance.

Solution:

We have,

Total people = 250

1 set = 8 people.

$\text{Number of possible sets}=\dfrac{\text{Total people}}{\text{People required for 1 set}}$

$\text{Number of possible sets}=\dfrac{250}{8}$

$\text{Number of possible sets}=31.25$

Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.

$\text{Number of possible sets}\approx 31$

Therefore, the number of possible sets at the dance is 31.

7 0

2 years ago

$70 plus a 5% tax and a 15% tip

Serjik [45]

Answer:

maybe 88.5

Step-by-step explanation:

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2 years ago

Which statements are true? (look at picture)

Makovka662 [10]

Answer:

D is true, E is true, F is true

Step-by-step explanation:

Hello,

n is an odd number it means that n = 2a+1 where a is integer

$n^2-1=(2a+1)^2-1=4a^2+4a+1-1=4a(a+1)$

this is not an odd number

$n(n-1)=(2a+1)2a$

this is not an odd number

$(n-1)^2=(2a+1-1)^2=4a^2$

this is not an odd number

$n^2+2=(2a+1)^2+2=4a^2+4a+1+2=4a^2+4a+3= 2(2a^2+2a+1)+1$

so this is an odd number

$n(n-2)=(2a+1)(2a-1)=4a^2-1=4a^2-2+1=2(2a^2-1)+1$

so this is an odd number

$(n-2)^2=(2a+1-2)^2=(2a-1)^2=4a^2-4a+1 = 2(2a^2-2a)+1$

this is an odd number

hope this helps

7 0

2 years ago

Using pemdas please

Bond [772]

$4^{3}+2(8)=80$

Solution:

Given expression:

$4^{3}+2(8)$

Expansion of PEDMAS:

Parenthesis, Exponents, Division, Multiplication, Addition, Subtraction.

To solve the given expression using pedmas rule.

First solve the expression with parenthesis.

$4^{3}+2(8)=4^{3}+16$

Next do the exponents.

$4^{3}+2(8)=64+16$

Finally do the addition.

$4^{3}+2(8)=80$

Hence the answer is 80.

6 0

3 years ago

Read 2 more answers

Write an equation for the translation of y=|x|. 2 units down.

Bezzdna [24]

B. Y = |x| - 2
when moving left or right...meaning moving horizontally.......the number is added inside the parenthesis.

This one is moving up or down ....meaning moving horizontally........so the number is added outside the parenthesis. If it moves up then add(+)..........if it moves down then subtract(-). The formula used for horizontal shifts is, y=lXl + k
.Here k will become negative or remain positive based on the given data.

Now,
It's a horizontal shift, so we can eliminate C and D.
It moves down so we will subtract and therefore we can eliminate A

so the answer is B.
lets check our answer by using the formula

Y = lxl + k
moves 2 units down so our k = (-2)
Y = lxl + (-2) [substitute k]
Y = lxl - 2

6 0

2 years ago

Read 2 more answers