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cluponka [151]
3 years ago
8

If 22/15 = 23/x what is x equal to

Mathematics
1 answer:
KengaRu [80]3 years ago
7 0

Answer:

15.68

Step-by-step explanation:

22/15=23/x

cross product

15*23=22*x

345=22x

x=345/22

x=15.68

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Given that sinФ = 8/17 and cos Ф < 0:
Gekata [30.6K]

Answer:

1) The terminal side lies in quadrant 2

2) cosФ = -15/17

3) tanФ = -8/15

Step-by-step explanation:

1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1

2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17

3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15

6 0
3 years ago
PLEASE HELP AS SOON AS YOU CAN
Mnenie [13.5K]

Answer:

FOR QUESTION 2

1. Segment addition postulate

2. Substitution

3. Substitution

4. Addition property of equality

5. Division property of equality

6 symmetric property

FOR QUESTION 3

1. given

2. Definition of complementary angles (complementary angles add upto 90)

3. Substitution

4. Subtraction property of equality

FOR QUESTION 4

1. Given

2. Definition of supplementary angles (supplementary angles add upto 180)

3. Definition of supplementary angles

4. Substitution

5. Subtraction property if equality

6. Definition of congruent angles (congruent angles are equal)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Double a number is equal to the number decreased by five?
kotegsom [21]
2n=n-5  subtract n from both sides

n=-5

check...

2(-5)=(-5)-5

-10=-10
6 0
3 years ago
Regular triangular pyramid has 6 cm long base edge and slant height k=9 cm. Find the lateral area of the pyramid.
gregori [183]

Answer:

81 cm²

Step-by-step explanation:

Since, the lateral face of a triangular pyramid is a triangle,

Given,

The base edge or the base of one lateral face of pyramid, a = 6 cm,

And, the slant height or the height of the face, k = 9 cm,

Thus, the area of one lateral face of the pyramid,

A=\frac{1}{2}\times a\times k

=\frac{1}{2}\times 6\times 9

=\frac{54}{2}

=27\text{ square cm}

We know that, a Regular triangular pyramid has 3 lateral faces,

Hence, the total lateral area of the pyramid,

L.A.=3\times\text{ The area of one lateral face}

=3\times 27

=81\text{ square cm}

5 0
3 years ago
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How many positive integers less than 500 are equal to 5 times an even integer?
arlik [135]

Answer:

490/10=49

Every 10 numbers is one number. I divided by 490 because it says less then 500

Step-by-step explanation:

4 0
3 years ago
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