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4 years ago

How much of 25% would you shade

Mathematics

2 answers:

I am Lyosha [343]4 years ago

7 0

$25 \ percent \\ 
 \\ \frac{1}{4}=0.25 \ and \ 0.25*100 \ is \ 25 \ percent \\ 
 \\ Answer:\boxed{ \frac{1}{4}}$

rodikova [14]4 years ago

5 0

Ф O O O 25 x 4= 100 so you would shade 1 of the four. or 1/4th

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In triangle ABC, c = 3, ∠A = 63°, and ∠C = 49°. Find a

velikii [3]

Answer:

a = 3.5

Step-by-step explanation:

$\frac{a}{sin(A)} = \frac{c}{sin(C)} \\\\a = \frac{csin(A)}{sin( C )} \\\\a = \frac{3 sin(63^{o} )}{sin(49^{o} )} \\\\a = 3.5$

6 0

4 years ago

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Anybody know the answer to this?

AURORKA [14]

<h3>Answer: Choice B</h3><h3>{4,5,6,7}</h3>

====================================================

Explanation:

Set A = {4,5,6,7,8,9} since these values are larger than 3 and smaller than 10. We only consider whole numbers in this range.

Set B = {1,2,3,4,5,6,7} represents positive whole numbers less than 8

To find the set $A \cap B$ we need to see which values are in both A and B at the same time. Those values are {4,5,6,7}

So $A \cap B = \{4,5,6,7\}$

--------

side note: the notation $A \cap B$ means "A intersect B", so we're looking at where the two sets intersect or overlap (ie what they have in common).

6 0

3 years ago

The base of a solid is the region in the first quadrant bounded by the line x=-2y+6 and the coordinate axes. What is the volume

nika2105 [10]

Answer:

$V = \frac{4y^3}{3} -12y^2 +36 y \Big|_0^3$

$V= \frac{4(3)^3}{3} -12(3)^2 +36 (3) -0 = 36-108+108= 36$

Step-by-step explanation:

For this case we have the following plot on the figure attached.

We know on this case that $x = -2y+6$ represent our radius for the square, since we need cross sections perpendicular to the y axis.

We find the intersection points like this:

$x= 0 , y=3$

$y=0, x=6$

Since we are assuming squares for the cross sections the area is given by $A = r^2$ where r = x= -2y+6.

Since our radius is on terms of x we can create a integral with limits on x in order to find the volume, And we can use the following integral in order to find the volume.

$V = \int_{0}^3 (-2y+6)^2 = \int_{0}^3 4y^2 -24y +36 dy$

On the left part we are using the following property from algebra:

$(a+b)^2 = a^2 +2ab +b^2$

$(-2y+6)^2 = (-2y)^2 +2*(-2y)(6) +(6)^2 = 4y^2 -24y+36$

And after do the integral we got this:

$V = \frac{4y^3}{3} -12y^2 +36 y \Big|_0^3$

$V= \frac{4(3)^3}{3} -12(3)^2 +36 (3) -0 = 36-108+108= 36$

7 0

3 years ago

Three times the sum of a number and 4 is the same as 18 more than the number what is the number

Karolina [17]

3(x + 4) = 18 + x
3x + 12 = 18 + x
3x - x = 18 - 12
2x = 6
x = 3

6 0

3 years ago

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weqwewe [10]

Answer:a=70

c=110

b=110

Step-by-step explanation:

The solution is in the attached file filatache

3 0

3 years ago

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