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2 years ago

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write a story problem using the partitive interpretation of divition for the following :25 divided by 5/8=40

1 answer:

IgorC [24]2 years ago

7 0

Answer:

You have 40 Students, there are 8 Bags, how many apples are in each bag?

Step-by-step explanation:

Hope this helps! <3

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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

2 years ago

Read 2 more answers

Slope intercept form of a line that has a slope of -3/4 and passes through (4, 3)

tia_tia [17]

<h3><u>Explanation</u></h3>

First Method

We have the given slope value and the coordinate point that the graph passes through.

$y = mx + b$

where m = slope and b = y-intercept. Substitute the value of slope in the equation.

$y = - \frac{3}{4} x + b$

We have the given coordinate point as well. After we substitute the slope, we substitute the coordinate point value in the equation.

$3 = - \frac{3}{4} (4) + b \\$

<u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>b-term</u>

$3 = - 3 + b \\ 3 + 3 = b \\ 6 = b$

The value of b is 6. We substitute the value of b in the equation.

$y = - \frac{3}{4} x + 6$

Second Method

We can also use the Point-Slope form to solve the question.

$y - y_1 = m(x - x_1)$

Given the y1 and x1 = the coordinate point value.

Substitute the slope and coordinate point value in the point slope form.

$y - 3 = - \frac{3}{4} (x - 4)$

<u>Simplify</u><u>/</u><u>Convert</u><u> </u><u>into</u><u> </u><u>Slope-intercept</u>

$y = - \frac{3}{4} (x - 4) + 3 \\ y = - \frac{3}{4} x + \frac{12}{4} + 3 \\ y = - \frac{3}{4} x + 3 + 3 \\y = - \frac{3}{4} x + 6$

<h3><u>Answer</u></h3>

<u> $\large \boxed {y = - \frac{3}{4} x + 6}$ </u>

6 0

2 years ago

I’m begging you please please ASAP ASAP please ASAP thank you please please ASAP

kozerog [31]

Answer:

The ratio is $\frac{2}{3}$ .

Step-by-step explanation:

The ratio of the perimeters of Quad ABCD to Quad WXYZ = $\frac{perimeter of ABCD}{perimeter of WXYZ}$

But considering sides AB and WX,

representative factor for both figures = $\frac{12}{8}$

So that;

WX = 12

XY = 1.5 x 6 = 9

YZ = 1.5 x 7 = 10.5

WZ = 1.5 x 7 = 10.5

Thus,

perimeter of Quad ABCD = 6 + 7 + 7 + 8

= 28

perimeter of Quad WXYZ = 9 + 10.5 + 10.5 + 12

= 42

The ratio of the perimeters of Quad ABCD to Quad WXYZ = $\frac{28}{42}$

= $\frac{2}{3}$

6 0

2 years ago

The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the e

inessss [21]

Answer:

It is the second graph.

Step-by-step explanation:

8 0

2 years ago

|x-3|+5 <br> i need to find out the absolute value

Assoli18 [71]

I got 5 I’m not for sure tho

7 0

3 years ago

Read 2 more answers