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3 years ago

Can someone please help me on this? I've been trying for hours and can't seem to find the answer.

Mathematics

1 answer:

REY [17]3 years ago

3 0

Answer: The area of the shape is 90 ft.

Step-by-step explanation:

Draw a line so the shape looks like a triangle and small rectangle.

First, we have to find the area of the rectangle.

Area of rectangle: length x width

The rectangle has a length of 6 ft and a width of 3 ft.

Area of rectangle: 6 x 3 = 18 ft

Now to find the area of the triangle.

Area of triangle: 1/2 x base x height

The triangle's base: 15 - 3 = 12

The triangle's height: 6 + 6 = 12

Area of the triangle: 1/2 x 12 x 12

= 1/2 x 144 = 72ft

To find the area of the entire shape you have to add the area of the rectangle and triangle together.

Area of shape = Area of rectangle + Area of triangle

A of shape = 18 ft + 72 ft

The area of the shape is 90 ft.

Hope that helped!

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Use the information to find the value cot 0 =

hjlf

The tangent function is given by:

$\tan (\theta)=\frac{opposite}{_{\text{ }}adjacent}=\frac{5}{12}$

Since the angle is in the 3rd quadrant the opposite side and the adjacent side are negative. So, the cotangent function is given by:

$\cot (\theta)=\frac{1}{\tan (\theta)}=\frac{adjacent}{_{\text{ }}opposite}=\frac{-12}{-5}=\frac{12}{5}$

Answer:

12/5

8 0

1 year ago

What is the solution for the following system of equations? Use ANY method to solve. 2x + 8y = 4 x = -3y + 5 Question 4 options:

Elan Coil [88]

Answer:

x = 14, y= -3

Step-by-step explanation:

Solve the following system:

{2 x + 8 y = 4 | (equation 1)

{x = 5 - 3 y | (equation 2)

Express the system in standard form:

{2 x + 8 y = 4 | (equation 1)

{x + 3 y = 5 | (equation 2)

Subtract 1/2 × (equation 1) from equation 2:

{2 x + 8 y = 4 | (equation 1)

{0 x - y = 3 | (equation 2)

Divide equation 1 by 2:

{x + 4 y = 2 | (equation 1)

{0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{x + 4 y = 2 | (equation 1)

{0 x+y = -3 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{x+0 y = 14 | (equation 1)

{0 x+y = -3 | (equation 2)

Collect results:

Answer: x = 14, y = -3

7 0

3 years ago

Question 11 of 11 -

alex41 [277]

Answer:

AA similarity

Step-by-step explanation:

Your question is not well presented.

See attachment

Given

Triangles ABC and DBE

Required

Which postulate supports the similarities of ABC and DBE

At the first transformation (180 degrees rotation) both triangles maintain SSS and AAA relationships. i.e Side-Side-Side and Angle-Angle-Angle

This is so because rotations do not alter the side lengths; neither does it alter the angles.

When the second transformation (dilation) takes place, the lengths of both triangles ABC and DBE become different because dilation alters side lengths.

However, angle measurements remain unaltered.

Hence, AAA similarity answers the question

6 0

3 years ago

Abie makes $39,000 a year and spends about $250 each month on entertainment. what fraction of her annual income is spent on ente

tamaranim1 [39]

(250 * 12) / 39,000 = 3000/39,000 which reduces to 1/13 <==

** I multiplied 250 by 12 to get the cost per yr

7 0

3 years ago

If 2/3 inch on a map corresponds to an actual distance of 9 miles what distance on the map will represent 21 miles

weeeeeb [17]

2/3in=9mi
?in=21mi

we can set up a ratio and proportion, but I would fix that fractions because they tend to be messy

2/3in=9mi
multiply both sides by 3
2in=27mi

so now we have
2in:28mi=?in:21mi
$\frac{2in}{28mi}=\frac{?in}{21mi}$
multiply both sides by 21mi
the miles cancel and we get
$\frac{42in}{28}=?in$
1.5in=?in

1.5 inches represents 21 miles

3 0

3 years ago