Evaluate the formula for the area of a triangle to solve the problem.

The area of a sandbox = one-half base times height. The height is 2.4 meters and the base is 3.5 meters.

Lokota wants to build a sandbox for his little brother. Determine the amount of sand he needs by finding the area of the sandbox. Use the drop-down menus to complete the statements.

First, write the
.

Next, use parentheses when you substitute
for b and
for h.

Now, simplify by
1
2
, 2.4, and 3.5.

The area of the sandbox is
m².

Answer:

There are three main types of a solar eclipses

Step-by-step explanation:

1. Total solar eclipse: A total solar eclipse is visible from a small area on Earth. The people who see the total eclipse are in the center of the Moon's shadow when it hits Earth. The sky becomes very dark, as if it were night. For a total eclipse to occur, the Sun, Moon and Earth must be in a direct line.
2. Partial solar eclipse: This happens when the Sun, Moon and Earth are not exactly aligned. The Sun appears to have a dark shadow on a small part of its surface.

3. Annular (an-yə-lər) solar eclipse: An annular eclipse happens when the Moon is farthest from Earth. Because the Moon is farther away, it seems smaller. It does not block the entire view of the Sun. The Moon in front of the Sun looks like a dark disk on top of a larger Sun-colored disk. This creates what looks like a ring around the Moon.

Animation of the Moon moving between the Sun and Earth

During a solar eclipse, the Moon blocks the sunlight to Earth. The Moon also casts a shadow onto Earth.

I hope this helps! ;)

Answers:

x = 16

y = 41

z = 123

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

Explanation:

Focus on the large triangle on the left.

The three interior angles of any triangle add to 180 degrees.

57+82+y = 180

y+139 = 180

y = 180-139

y = 41

-------------------

Now focus on the large triangle on the right.

We'll use the same idea as before.

x+102+62 = 180

x+164 = 180

x = 180-164

x = 16

-------------------

The last triangle to focus on is the small one in the middle.

Use the values of x and y to find z.

x+y+z = 180

16+41+z = 180

57+z = 180

z = 180-57

z = 123

Answer:

The angles inside of a triangle always add up to 360 therefore we can easily determine what the angle of x and y is because they are a part of two triangles that have two angles each.  Let's first determine x.

[tex]x = 180 - (102+ 62)[/tex]

[tex]x = 180 - 164[/tex]

[tex]x = 16[/tex]

The second step that we need to do is to determine y using 82 and 57.

[tex]y = 180 - (82 + 57)[/tex]

[tex]y = 180 - 139[/tex]

[tex]y = 41[/tex]

The final step is to determine z using x and y

[tex]z = 180 - (x + y)[/tex]

[tex]z = 180 - (16 + 41)[/tex]

[tex]z = 180 - 57[/tex]

[tex]z = 123[/tex]

Therefore, x = 15 and y = 41 and z = 123

Hope this helps!

Answer:

all numbers<4

so numbers 5 and up

Step-by-step explanation:

The area bounded by the curves will be 0.089. Then the correct option is A.

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The functions are given below.

y₁ = eˣ   ....1

x = (y - 1)²  ...2

Then equation 2 can be written as

y₂ = √x + 1

The intersection point of the curves will be

eˣ = √x + 1

BY solving, the value of x will be

x = 0, 0.558

Then the area bounded by the curves will be

[tex]\rm A = \int _0^{0.558} (y_2 - y_1) dx\\\\\\A = \int _0^{0.558} (\sqrt{x} + 1 - e^x )dx\\\\\\A = \left [\dfrac{x^{3/2}}{3/2} + x - e^x \right]_0^{0.558} \\\\\\A = \left [\left (\dfrac{0.558^{3/2}}{3/2} + 0.558 - e^{0.558} \right ) - \left ( \dfrac{0^{3/2}}{3/2} + 0 - e^0 \right) \right]\\[/tex]

On further solving we have

A = -0.911 + 1

A = 0.0887

A ≅ 0.089

Then the correct option is A.

More about the area bounded by the curve link is given below.

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Answer:

The answer is, A polygon is a plane figure,

it has no limit in the number of sides, its not an open figure, its not a solid

Step-by-step explanation:

Hope it helps

Answer:

A Polygon is a plane figure

Step-by-step explanation:

Properties of polygon:

1. A polygon is a plane figure with line segments. Two dimensional figure.

2. A polygon has minimum 3 sides and has maximum limit.

3. The sum of all interior angles of the polygon is given by (n -2)*180 where n is the number of sides.

4. The sum of exterior angles of any polygon is 360

Answer:

There are thirty-nine palindromic numbers between 10 and 400.

Step-by-step explanation:

Listed, they are: 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, and 393.

Answer:

The difference is 8

Step-by-step explanation:

The graph is showing the equation of circle x²+y²=4

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.

The equation will be as follows:-

x²+y²=4

Hence the graph is showing the equation of circle x²+y²=4

To know more about circles follow

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Answer:

2 outliers

Step-by-step explanation:

(1,9) and (10,7) both are outliers.

There are 2 outliers in the given scatter plot. Therefore, option B is the correct answer.

An outlier is a data point that does not fit the rest of the data. It lies outside of a cluster and does not follow the same pattern. Scatter plots can have many outliers, just one outlier, or no outliers.

From the given graph, we can see that coordinates (1, 9) and (10, 7) are not in the cluster.

These two points lies out side the cluster, so these points are outliers.

Therefore, option B is the correct answer.

Learn more about the outliers here:

https://brainly.com/question/26958242.

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Answer:

21.54

Step-by-step explanation:

27.24 - 5.7

= 21.54

Answer:

The scale of the drawing to become the statue is 7, and likewise for the statue to become the drawing it is 1/7.

Drawing * Scale = Statue

Take the first dimension:

9 * scale = 63

63/9 = scale

scale = 7

Answer:

7

Step-by-step explanation:

The scale factor is the ratio between the actual size and the model size.

Here, they are termed as "statue" and "drawing" respectively.

Finding scale factor :

Answer:

x=8

Step-by-step explanation:

Let's say this mystery number is x.

6 times this x is 16 less than the square of x so we can write this as:

[tex]6x = x^2 - 16[/tex]

We can then re-arrange this into a quadratic and simplify it so:

[tex]x^2 -6x-16 =0[/tex]

[tex](x-8)(x+2)[/tex]

x=8, x=-2

And since the question is asking for the positive solution,
x=8

Answer:

1320 should be expected

Step-by-step explanation:

22 = 600

  x10

220 = 6,000

   x6

1320=36,000

Answer:

Length = 24 yd

Width = 6 yd

Step-by-step explanation:

To start out, we can begin by saying that "l" is the length of the rectangle, and "w" is the width.

Since we know that the length (l) is 4 times its width we can say that 4 times the width is equal to its length. We would write this out this way :

4w = l

Next, we know that the perimeter is 60yd (as it is given in the question). We also know that the perimeter of a rectangle is all of its sides, added. Meaning the length plus the length, plus the width and the width. So, we can use the equation :

2l + 2w = p

"p" being the perimeter. And, since the perimeter is 60, we can place in 60 for "p"

2l + 2w = 60

Now we can use this information to combine the terms, and find the width and length. We first do this by noticing that in the first equation, it shows that "l" (the length) is equal to 4w. This means that we can put 4w in place of the "l" in the second equation. We can do this, becuase we know that "l" is equal to 4w. (from the first eqaution)

2 (4w) + 2w = 60

Now, we solve

2 * 4w = 8w

8w + 2w = 10w

So now we have :

10w = 60

To get the width, all we have to do is simply get "w" alone. We can do this by dividing both sides by 10.

10w = 60

/10     /10

w = 6

Therefore, the width is 6.

Now, going back to the first equaiton, we already know that the length is 4 times the width, meaning all we have to do is multiply 6 by 4 to get the length.

6 * 4 = 24.

Therefore, the length is 24.

Lastly, to check and make sure we are correct, we can go back to the second equation. 2l + 2w = 60

2 (24) + 2 (6) = 60

2 * 24 = 48

2 * 6 = 12

48 + 12 = 60

60 = 60

Now, we officially know that the length of the rectangle is 24 and the width is 6.

Answer:

Which three questions?

Step-by-step explanation:

I've answered this first question, I guess I need two more...

Answer:

the answer is $292 :)

have a nice day

Polygon ABCDE was dilated by a scale factor of 2 about the origin and then translated 14 units down to form polygon A'B'C'D'E'

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Polygon ABCDE was dilated by a scale factor of 2 about the origin and then translated 14 units down to form polygon A'B'C'D'E'

Find out more on transformation at: https://brainly.com/question/4289712

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Answer:

x = 1

Step-by-step explanation:

[tex]\sf Sin \ 37^\circ = \dfrac{opposite \ side}{hypotenuse}\\\\[/tex]

[tex]\sf 0.6 = \dfrac{0.6}{x}\\\\Cross \ multiply,\\\\ 0.6*x = 0.6\\\\x = \dfrac{0.6}{0.6}\\\\x = 1[/tex]

Answer:

[tex] a = \boxed{1},\: b=\boxed{0}\\\\c=\boxed{0},\: d=\boxed{1}[/tex]

Step-by-step explanation:

Will ran down the street to catch the bus.

Hope this helps, thanks,

CoDBiarex

Answer:

After basketball practice Julie hit the books.

Step-by-step explanation:

Informal English often uses slang words that not everyone understands.

Answer:

Hot dog sold = 33

Sodas Sold = 72

Step-by-step explanation:

Given:

At a hockey game a vender sold a combined total of 105 sodas and hot dogs. The number of sodas sold was 39 more than the number of hot dogs sold

To Find:

Number of soda/hot dog sold

Solve:

h + ( 39 + h ) = 105

h + 39 + h = 105

2h + 39  = 105

h + 19.5 = 52.5

h = 52.5 - 19.5

This as a system does not use any inequality. "39 more than" means, +39.

h = 33    meaning    d= 72

Add to check Answer:

33 + 72 = 105

Thus,

Hot dog sold = 33

Sodas Sold = 72

Kavinsky

Answer:

See below ~

Step-by-step explanation:

Identities :

Changing the Left Hand Side (LHS) :

Step-by-step explanation:

45 and 22 multiplied would be your answer

The general algebraic identity is

Lets derive

Hence verified

Answer: x^2  i think

Step-by-step explanation: "be the roots m = 2, n = 3 Sum of the roots = m + n = 2 + 3 m + n = 5 Product of the roots = mn = (2)(3) mn = 6 Standard form is x^2 - (m + n)"

Answer:

  (D)

Step-by-step explanation:

The box plot is a visual representation of the 5-number summary of the data. It shows the extremes, the quartiles and the median.

__

Each data set has 11 elements, sorted into increasing order.

The first and last elements of the data set correspond to the ends of the whiskers, so you are looking for a set that ranges from 3 to 18. (This eliminates choice B.)

The median will be the middle element, the 6th from either end. The vertical line in the box identifies its value as 10. (This eliminates choice A.)

The first quartile is the middle element of the bottom half of the data set (what remains after the median and above elements are removed). There are 5 elements in the bottom half, so the first quartile is the 3rd one. It is signified by the left end of the box in the box plot. Its value is 7. (This eliminates choice C.)

Similarly, the third quartile is the 3rd element from the right end of the data set. The value 13 in choice D matches the right end of the box in the box plot.

The box plot represents the data set in Choice D.

Answer:

25

Step-by-step explanation:

area of the rhombus=1/2×d1×d2

1/2×5×10

=25