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2 years ago

A 26-foot long ladder is leaning against a building

Mathematics

2 answers:

xxTIMURxx [149]2 years ago

8 0

Answer:

Step-by-step explanation:

cos(60) =building height / 26

Alex73 [517]2 years ago

7 0

Answer:

csc(60)=26/h

Step-by-step explanation:

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Ellie runs 5/6 mile in 10 minutes.what is ellie's speed in miles per minute?

olganol [36]

Answer:

1/12 miles/minute

Step-by-step explanation:

To figure out how fast ellie runs in 1 minute, we can set up this equation:

5/6 = 10x (x being the speed per minute)

We can divide both sides by 10

5/60 = x

Then simplify the fraction to get:

1/12 = x

4 0

2 years ago

Carol is going to make a wooden pyramid and then paint it. She drew the net of a square pyramid as shown below to help her plan

rodikova [14]

The given pyramid's total surface area is 3. 24.0 square feet.

Step-by-step explanation:

Step 1:

To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.

There are 3 triangles and 1 square in the figure.

Step 2:

All the triangles are similar.

The surface area of a triangle = $\frac{1}{2} (baselength)(height).$

The similar triangles have a base length of 3 feet and a height of 2.5 feet.

The surface area of 1 similar triangle = $\frac{1}{2} (3)(2.5)= 3.75$ square feet.

The surface area for all the similar triangles = $3.75 (4) = 15$ square feet.

Step 3:

The surface area of a square is the square of its side length. The square has a side length of 3 feet.

The surface area of the square = $a^{2} = 3^{2} =9$ square feet.

Step 4:

To calculate the total surface area we sum up all the individual surface area.

The total surface area = $15 + 9 = 24$ square feet which is the third option.

3 0

2 years ago

What is the slope of the line<br> represented by 5x – 7y = 9?

serg [7]

Answer:

5/7.

Step-by-step explanation:

Convert to slope-intercept form:

5x – 7y = 9

Subtract 5x from both sides:

-7y = -5x + 9

Divide through by -7:

y = (-5/-7) x + -9/7

y = 5/7 x - 9/7

The slope is 5/7.

6 0

2 years ago

Which diagram shows lines that must be parallel lines cut by a transversal?

eimsori [14]

9514 1404 393

Answer:

2 horizontal lines are intersected by another line. At the intersection with the first line, the bottom right angle is 91 degrees. At the intersection with the second line, the top right angle is 89 degrees.

Step-by-step explanation:

The last of the statements describes consecutive (same-side) interior angles at the transversal that are supplementary. That condition exists when the lines are parallel.

7 0

3 years ago

Read 2 more answers

Find the next two terms in this sequence, 16, 8, 4, 2, 1

sweet-ann [11.9K]

Answer:

$\frac{1}{2}$ and $\frac{1}{4}$

Step-by-step explanation:

The pattern is that a term gets divided by 2 to find the next term. 1 divided by 2 is $\frac{1}{2}$ and when you divide that by 2 you get $\frac{1}{4}$

3 0

3 years ago