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olasank [31]
3 years ago
12

7.C.J. says the quotient of -3/4 divided by 1/4 is - 1/3

Mathematics
1 answer:
Elanso [62]3 years ago
6 0

The correct quotient is -3

The mistake CJ likely made is multiplying using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4

From the question,

We are to determine the correct quotient.

The given division operation to be carried out is -3/4 divided by 1/4

The correct quotient can be determined as shown below

-\frac{3}{4} \div \frac{1}{4}

Multiply -\frac{3}{4} by the reciprocal of \frac{1}{4}

The reciprocal of \frac{1}{4} is  \frac{4}{1}

Then, we get

-\frac{3}{4} \times \frac{4}{1}

This gives

-\frac{12}{4}

= -3

The correct quotient is -3

The mistake CJ likely made is multiplying using the reciprocal of -3/4.

Hence, the correct quotient is -3

The mistake CJ likely made is He multiplied using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4

Learn more here: brainly.com/question/13124034

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WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area
inessss [21]

Answer:

1400m^2

Step-by-step explanation:

Solution,

Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,

Now,

Perimeter of the rectangle=2(l+b)

150=2(x+5+x)

150=2(2x+5)

150=4x+10

150-10=4x

140=4x

140/4=x

35=x

So, the breadth of the rectangle=35 m

and length=(35+5)m=40m

Again,

Area of the rectangle=l×b

=40m×35m

=1400 m^2

I hope it helped U

stay safe stay happy

3 0
3 years ago
Read 2 more answers
Does anyone know the answer?
azamat

Answer:

1=163 degrees

2=×=10 degrees

3=×=3

Step-by-step explanation:

54x+1+9x-10=180 we are using this expression because alternate angles add up to 180 degrees

54x+9x+1-10=180

63x-9=180

63×=180+9

63×=189

63×÷63×=189÷63×

X=3

Angle in bold print is (54x+1)

54×3=162

162+1=163 degrees

No.2 Find x

7x+35+x+65 =180

7x+x+35×65=180

8x+100=180

8x=180-100

8x=80

8x÷8x=80÷8

X=10 degrees

No.3 Find x

54x+1+9x-10=180

54x+9x+1-10=180

63x-9=180

63x=180+9

63x=189

63x÷63x=189÷63

X=3

I hope I was of help

6 0
3 years ago
The sum of three consecutive integers if the first is n +2
icang [17]

Answer:

Step-by-step explanation:

The three consecutive integers are

(n+2), (n+3), (n+4).

(n+2)+(n+3)+(n+4) = 3n+9

7 0
4 years ago
How I can get the answer could you please tell me ?
valentina_108 [34]
Look it up after opening up a new tab

6 0
4 years ago
If sin theta = 2/3 and sex theta < 0 , find cos theta and tan theta
FromTheMoon [43]

Answer:

\displaystyle cos\theta=-\frac{\sqrt{5}}{3}

\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}

Step-by-step explanation:

<u>Trigonometric Formulas</u>

To solve this problem, we must recall some basic relations and concepts.

The main trigonometric identity relates the sine to the cosine:

sin^2\theta+cos^2\theta=1

The tangent can be found by

\displaystyle tan\theta=\frac{sin\theta}{cos\theta}

The cosine and the secant are related by

\displaystyle cos\theta=\frac{1}{sec\theta}

They both have the same sign.

The sine is positive in the first and second quadrants, the cosine is positive in the first and fourth quadrants.

The sine is negative in the third and fourth quadrants, the cosine is negative in the second and third quadrants.

We are given

\displaystyle sin\theta=\frac{2}{3}

Find the cosine by solving

sin^2\theta+cos^2\theta=1

\displaystyle \left(\frac{2}{3}\right)^2+cos^2\theta=1

\displaystyle cos^2\theta=1-\left(\frac{2}{3}\right)^2=1-\frac{4}{9}=\frac{5}{9}

\displaystyle cos\theta=\sqrt{\frac{5}{9}}=-\frac{\sqrt{5}}{3}

\boxed{\displaystyle cos\theta=-\frac{\sqrt{5}}{3}}

We have placed the negative sign because we know the secant ('sex') is negative and they both have the same sign.

Now compute the tangent

\displaystyle tan\theta=\frac{sin\theta}{cos\theta}=\frac{\frac{2}{3}}{-\frac{\sqrt{5}}{3}}=-\frac{2}{\sqrt{5}}

Rationalizing

\displaystyle tan\theta=-\frac{2}{\sqrt{5}}=-\frac{2\sqrt{5}}{5}

\boxed{\displaystyle tan\theta=-\frac{2\sqrt{5}}{5}}

5 0
4 years ago
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