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earnstyle [38]
3 years ago
14

I'm completely lost .. help would be greatly appreaciated

Mathematics
1 answer:
katrin [286]3 years ago
4 0
First you calculate the area of the triangle:
Area_{triangle} = \frac{base \cdot height}{2} = \frac{2 \cdot 3}{2} =3 square yards.
For the base and the height of the triangle you need to count how many squares it takes on the picture.

For the rectangle you need to calculate the length and the height first.
For each we are going to use the Pythagorean theorem:
Height^2 = 2^2 + 3^2
Height =\sqrt{4+9}=3.6055513 yards

Again count the numbers of squares for the triangle in which the rectangle's height is the hypotenuse.

We do the same for the Length of the rectangle:
Length^2 = 4^2 + 6^2
Height =\sqrt{16+36}=7.2111026 yards

Now we calculate the area of the rectangle:
Area_{rectangle} = Length \cdot Height = 3.6055513 \cdot 7.2111026 = 26 square yards.

The total material area to cover both is:
3 + 26 = 29 square yards



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Two angles are supplementary. The larger angle is 33 degrees more than 6 times the smaller angle. Find the measure of each angle
noname [10]

Sum of two angles that are supplementary = 180°

Let the smaller angle be = x

Let \:  the  \: smaller \:  angle \:  be \:  =  \: x

then \: the \: larger \: angle \:  = 6x + 33

<h3>Their sum :</h3>

x + 6x + 33 = 180

7x + 33 = 180

7x = 180 - 33

7x = 147

x =  \frac{147}{7}

x = 21

Using this let us find the measures of the smaller angle and bigger angle .

smaller \: angle \:  = x = 21°

larger \: angle \:  = 6x + 33 = 6 \times 21 + 33 = 126 + 33 = 159°

∴ The measure of the two angles are = 21° and 159° .

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3 years ago
Please answer ASAP WILL GIVE BRAINIEST (PLEASE NO SPAM ANSWERS)
Alexeev081 [22]

There are 11 trains containing giraffes and 7 trains containing rabbits.

<h3>Equation</h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of train with giraffes and y represent the number of train with rabbits.

Hence:

25x = 40y

25x - 40y = 0    (1)

Also:

25x + 40y > 500   (2)

From both equations:

A possible solution is x = 11, y = 7

There are 11 trains containing giraffes and 7 trains containing rabbits.

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densk [106]

Answer:

The triangular prism is a better deal because you get 204 in³ for the same price you would pay for 128 in³ with a trapezoidal prism.

Step-by-step explanation:

The trapezoidal prism has volume 32*4=128 cubic inches. The triangular prism has volume 34*6=204 inches. Since the triangular prism is more voluminous, it is the better deal. Hope this helps!

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<u>Given</u>:

The point P' is the image of the point P under the translation (x,y) \implies (x-6, y-1)

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<u>Coordinates of the point P':</u>

The coordinates of the point P' can be determined by substituting the coordinates of the point P(6,0) in the translation.

Thus, substituting the coordinates, we have;

(6,0)\implies (6-6,0-1)

Simplifying the coordinates, we get;

(6,0)\implies (0,-1)

Thus, the coordinates of the point P' is (0,-1)

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