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Arisa [49]
3 years ago
7

For Numbers 14a-14d, tell which expressions require you to rename mixed numbers before you can subtract. Find each difference. W

rite each expression and the difference as an equation in the correct box 14a 2 1/3-1 3/4. 14b 1 3/4 -7/8. 14c 5 2/3-2 1/3. 14d 6 1/5-2 1/3
Mathematics
2 answers:
weqwewe [10]3 years ago
8 0
The answer would be 142 degrees
VMariaS [17]3 years ago
6 0

Solution:

14 a, 14 c, 14 d are the Expressions which require to rename mixed numbers before we can subtract.

14 a. →

=2 \frac{1}{3}-1 \frac{3}{4}\\\\= \frac{7}{3}-\frac{7}{4}\\\\= \frac{28-21}{12} \\\\= \frac{7}{12}

14 b.

1 \frac{3}{4} -\frac{7}{8}\\\\ = \frac{7}{4}-\frac{7}{8} \\\\ =\frac{14-7}{8} \\\\ =\frac{7}{8}

14 c.

5 \frac{2}{3}-2 \frac{1}{3}\\\\ = \frac{17}{3}-\frac{7}{3} \\\\ =\frac{17-7}{3}\\\\ =\frac{10}{3}=3 \frac{1}{3}

14 d.

6\frac {1}{5}-2 \frac{1}{3}\\\\ = \frac{31}{5}-\frac{7}{3} \\\\ = \frac{93-35}{15}=\frac{58}{15}=3 \frac{13}{15}


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Answer:

D. 1080°

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
Select all the correct answers.
Wittaler [7]

If the measure of angle θ is 3π/4, the true statements are:

  1. sin(θ) = √2/2.
  2. The measure of the reference angle is 45°.

<h3>How to determine the true statements?</h3>

In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:

Reference angle = 180 - θ

Reference angle = 180 - 135

Reference angle = 45°.

Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.

tan(θ) = cos(θ)/sin(θ)

tan(θ) = [(-√2/2)/(√2/2)]

tan(θ) = -1

In conclusion, we can logically deduce that only options A and B are true statements.

Read more on terminal point here: brainly.com/question/4256586

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Complete Question:

If the measure of angle θ is 3π/4, which statements are true. Select all the correct answers.

A. sin(θ)=sqrt2/2

B. The measure of the reference angle is 45

C. The measure of the reference angle is 30

D. The measure of the reference angle is 60

E. cos(θ)=sqrt2/2

F. tan(θ)=1

6 0
1 year ago
I need help with a math question that is 0.1x = 5/y
BabaBlast [244]
Unfortunately you have not included the directions.  Are you supposed to solve for x?  or for y?

Suppose the directions say, "Solve for x."  Then, clear out the decimal fraction by mult. both sides of the given equation by 10.  This will give you the solution, that is, a formula for x in terms of y.


3 0
3 years ago
Round the number 246.13687 to the nearest thousandth
sashaice [31]

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246.137

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Tom was driving 20.3 meters per second in a 45 mile per hour zone. Was Tom speeding? Explain using a unit conversion as well as
My name is Ann [436]

Answer:

Tom was speeding.

Step-by-step explanation:

The driving speed of Tom = 20.3 meters per second.

Speed allowed in the zone = 45 miles per hour zone.

Since the unit of speed allowed is given in miles per hour but the speed of tom is given in meters per second. So, first, we have to convert the meter per second into mile per hour then we can compare and find that Tom is speeding or not.  

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Now convert 20.3 into mile per hour.

20.3 meters per second. = (20.3 / 1609.34)*3600 = 45.40981 mile per hour.

Since Tom’s speed is more than the allowed speed so he is speeding.

7 0
2 years ago
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