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iris [78.8K]
4 years ago
12

Use unit rate to find the unknown value 16/32 equals blank over 14​

Mathematics
1 answer:
grigory [225]4 years ago
5 0

Answer:

x = 7

Step-by-step explanation:

simplify 16/32

16/32 divided by 8/8=2/4

2/4 divided by 2=1/2

so

1/2 = x/14

to get to 14  from 2 you need to multiply by 7

1/2 times 2/2 = 7/14

so x = 7

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50 points Simplify the expression. sin^2 theta/csctheta tan^2theta a. sin^2 theta b.sin cos^2 theta c.sec^2 theta d. csc theta
iren2701 [21]

Answer:

B. sin(theta) cos^2(theta)

Step-by-step explanation:

sin^2(theta) / csctheta tan^2(theta)

To solve, we convert to sine and cosine and then simplify.

means by the priority of operators (* and / from left to right)

(sin^2(theta) / csctheta) * tan^2(theta)

= sin^2(theta) / (1/sin(theta) * (sin(theta)/cos(theta)^2

= sin^2(theta) * sin(theta) * sin^2(theta) / cos^2(theta)

= sin^5(theta) / cos^2(theta)

which obviously does not correspond to any of the answers.

IF the expression were missing parentheses in the denominator, then it becomes:

sin^2(theta) / (csctheta tan^2(theta))

= sin^2(theta) / (1/sin(theta) * sin^2(theta) /cos^2(theta))

= sin^2(theta) / (sin(theta)/cos^2(theta)

= sin(theta) cos^2(theta)

which corresponds to answer B.

6 0
3 years ago
Read 2 more answers
Marco has drawn a line to represent the perpendicular cross-section of the triangular prism. Is he correct? Explain. triangular
evablogger [386]

Answer:

The correct option is;

Yes, the line should be perpendicular to one of the rectangular faces

Step-by-step explanation:

The given information are;

A triangular prism lying on a rectangular base and a line drawn along the slant height

A perpendicular bisector should therefore be perpendicular with reference to the base of the triangular prism such that the cross section will be congruent to the triangular faces

Therefore Marco is correct and the correct option is yes, the line should be perpendicular to one of the rectangular faces (the face the prism is lying on).

8 0
3 years ago
Read 2 more answers
Lisa wants to apply the distributive property to the following equation:
aliya0001 [1]

Answer:

4/5x-10=20

Step-by-step explanation:

because if you multiply 4/5×10 that equals 8 and you have to keep the subtraction sign the same.

8 0
3 years ago
A board is 22.5 Inches long. How long is the board in centimeters? Use the following conversion: 1 Inch is 2.54 centimeters.
omeli [17]

Answer:

57.15

Step-by-step explanation:

22.5*2.54 is 57.15

6 0
3 years ago
What is the smallest positive composite number not divisible by 2,3,or 5
charle [14.2K]

<u>Answer</u>

49

<u>Explanation</u>

2 is an even number, so all even numbers can not be the smallest number required. Example 2, 4, 6, 8, 10, 12, 14......

All number that arr multiples of three also do not qualify for the number required. Example 3, 6, 9, 12, 15....

Numbers that not multiple of 5 do not also qualify. E.g 5, 10, 15, 20, 25.....

The smallest positive composite number is that is not divisible by 2,3 or 5 is 49.




8 0
3 years ago
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