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3 years ago

9

¿El número 10.452 es divisible por 2, 3, 5, 6 y 10?

1 answer:

Papessa [141]3 years ago

6 0

2,3,6 - yes
5,10 - no

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When Natalie finishes drawing the large triangle on the poster board, what will be the approximate measure of side BC? Round to

gtnhenbr [62]

Answer:

31 cm

Step-by-step explanation:

The complete question is attached.

A triangle is a polygon with three sides (three edges and three vertices). There are different types of triangles which are equilateral triangles, right triangles, scalene triangles, obtuse triangles, acute triangles, and isosceles triangles.

An equilateral triangle is a triangle in which all its sides are equal and all its angles are equal to 60°.

From the triangle, AB = BC = AC = 9.5 cm

Since the triangle is enlarged 3.25 times, hence:

new length of BC = 9.25 cm × 3.25 = 30.875

New length of BC = 31 cm to nearest cm

7 0

3 years ago

If the area of the blue square is 144 units2 and the area of the pink square is 1225 units2, then the length of the hypotenuse i

navik [9.2K]

Answer: 37 units

Step-by-step explanation:

$Blue=144units^2$ This also works as the height of the triangle.

$Pink=1225units^2$ This also works as the base of the triangle.

Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.

To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.

$Formula: A=s^2$

$s=\sqrt[]{A}$

Let's work with Blue.

$s=\sqrt[]{144units^2} \\s=12units$

Now Pink.

$s=\sqrt[]{1225units^2}\\s=35units$

So we have a triangle with a base of 35 units and a height of 12 units.

Now let's use the pythagoream's theorem to solve.

$c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units$

7 0

3 years ago

Julie uses 12 oz of cheese in her potato soup recipe.her recipe yields 8 servings.if julie needs enough for 20 servings,how many

Makovka662 [10]

I think the answer is 240oz

4 0

3 years ago

Determine the equation of the line that goes through points (1.1) and (3.7).

ValentinkaMS [17]

Answer:

The equation of the line that goes through points (1,1) and (3,7) is $\mathbf{y=3x-2}$

Step-by-step explanation:

Determine the equation of the line that goes through points (1,1) and (3,7)

We can write the equation of line in slope-intercept form $y=mx+b$ where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have $x_1=1, y_1=1, x_2=3, y_2=7$

Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{7-1}{3-1}\\Slope=\frac{6}{2}\\Slope=3$

We get Slope = 3

Finding y-intercept

y-intercept can be found using point (1,1) and slope m = 3

$y=mx+b\\1=3(1)+b\\1=3+b\\b=1-3\\b=-2$

We get y-intercept b = -2

So, equation of line having slope m=3 and y-intercept b = -2 is:

$y=mx+b\\y=3x-2$

The equation of the line that goes through points (1,1) and (3,7) is $\mathbf{y=3x-2}$

4 0

3 years ago

Can anyone help me understand how to evaluate the limit of this complex fraction?

SSSSS [86.1K]

Answer:

-1/9

Step-by-step explanation:

$\lim_{x \to 3} \frac{1/x-1/3}{x-3}$

For simplicity, let's multiply top and bottom by 3x:

$\lim_{x \to 3} \frac{3-x}{3x(x-3)}$

Factor out a -1:

$\lim_{x \to 3} \frac{-(x-3)}{3x(x-3)}$

Divide top and bottom by x−3:

$\lim_{x \to 3} \frac{-1}{3x}$

Evaluate the limit:

$\frac{-1}{3(3)}\\-\frac{1}{9}$

It's important to note that the function doesn't exist at x = 3. As x <em>approaches</em> 3, the function <em>approaches</em> -1/9.

5 0

3 years ago