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BlackZzzverrR [31]

3 years ago

13

Jessica bought 1/2 pounds of roast beef and 5/6 pound of ham. Which pairs of fractions are equivalent to the amount's Jessica bo

ught ? Mark all that apply

1 answer:

pogonyaev3 years ago

5 0

To find the equivalent fraction you multiply/divide the numerator and denominator by the same amount.
ex 1/2 = 3/6 = 6/12

ex 5/6 = 10/12 = 20/24

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Which description of the vector shown is correct ?

BartSMP [9]

Answer:

(B) The magnitude is 7sqrt2, and the direction angle is approximately 135 degrees.

Step-by-step explanation:

From the figure, the coordinate of the tail of the vector,

$(x_1,y_1)=(3,-6).$

The coordinate of the head of the vector,

$(x_2,y_2)=(-4,1).$

The magnitude of a vector is the length between the head and tail of the vector.

By using the distance formula,

the magnitude of the vector $= \sqrt{(1-(-6))^2+(-4-3)^2}$

$=\sqrt{(7^2+(-7)^2}\\\\=\sqrt{98}\\\\=7\sqrt{2}$

Now, let $\theta$ be the angle made by the vector with the positive direction of the x-axis, so

$\tan\theta = \frac{y_2-y_1}{x_2-x_1}\\\\\Rightarrow \tan\theta = \frac{1-(-6)}{-4-3}=\frac{7}{-7}=-1 \\\\\Rightarrow \theta = \tan^{-1}(-1) \\\\\Rightarrow \theta =\pi- \tan^{-1}1 \\\\\Rightarrow \theta = \pi-\frac{\pi}{4} \\\\\Rightarrow \theta =\frac{3\pi}{4} \\\\\Rightarrow \theta = 135 ^{\circ}.$

So, the magnitude of the vector is $7\sqrt 2$ which makes $135 ^{\circ}$ with the positive direction of the x-axis.

Hence, option (B) is correct.

8 0

3 years ago

Read 2 more answers

40 + 2b3 when<br> b = 5 and c= 1.2

kramer

9514 1404 393

Answer:

254.8

Step-by-step explanation:

Substitute the numbers where the variables are and do the arithmetic.

4c +2b³ = 4(1.2) +2(5³) = 4.8 +250 = 254.8

__

It can also work to let a calculator or spreadsheet do the math for you, once you specify the function.

8 0

3 years ago

A shirt is priced at $12. What is the price after a 5% discount and 6% sales tax?

Alex787 [66]

Discount of 5
6% tax

100-5=95
100+6=106

12*0.95*1.06=12.084

the price is $12.08

3 0

3 years ago

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Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2

valentina_108 [34]

Answer:

Solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

Step-by-step explanation:

We need to solve the equation $x^2+6x-8=0$ by completing the square method.

For completing the square method: we need to follow: $a^2+2ab+b^2=(a+b)^2$

We are given:

$x^2+6x-8=0$

Solving by completing the square

$x^2+2(x)(?)+(?)^2-8=0$

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

$x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17$

So, solving the equation $x^2+6x-8=0$ by completing the square method we get $\mathbf{(x+3)^2=17}$

Option B is correct option.

7 0

3 years ago

The wheel was first documented as being used in Mesopotamia

Lilit [14]

Answer:

5,172 years

Step-by-step explanation: it the answer

4 0

3 years ago

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