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iren [92.7K]
3 years ago
6

Find the area of the parallelogram. 3 cm 5 cm

Mathematics
1 answer:
alexdok [17]3 years ago
4 0

Answer:

Area = Base ×Height

Step-by-step explanation:

Area = Base × Height

Area = 3cm × 5cm

Area = 15cm

Area of the parrallelogram is 15cm

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An escalator lifts people to the second floor of a building, 26 ft above the first floor. The escalator rises at a 30° angle. To
Luden [163]

The distance traveled to the top of the escalator to the bottom is 52 ft

Here, we want to calculate the distance a person on the escalator travel from the bottom to the top of the escalator

Firstly, we need a diagrammatic representation to understand this

We can form a right-angled triangle with the information given in the question.

The diagram is shown as below;

From the question, by simply calculating the hypotenuse of the right-angled triangle, we can get the distance traveled from the bottom of the escalator to the top

Let us call this distance d

We can now use the appropriate trigonometric ratio

The trigonometric ratio to use here is the sine since we have the opposite and we want to calculate the hypotenuse

Mathematically;

\begin{gathered} \sin \text{ 30 = }\frac{26}{d} \\  \\ d\text{ = }\frac{26}{\sin \text{ 30}} \\  \\ d\text{ = }\frac{26}{0.5} \\  \\ d\text{ = 52 ft} \end{gathered}

7 0
1 year ago
The slope of the line below is -3. Which of the following is the point-slope form of the line?​
Jobisdone [24]

Answer:

A. y+6 = -3(x-2)

Step-by-step explanation:

The slope point formula is:

y - y₁ = m (x - x₁)

Our slope is negative 3, and our coordinates given are 2 and -6.

Substitute -3 for m, -6 for y₁, and 2 for x₁

y - (-6) = -3 (x - 2)

Negative and negative multiplied together make postive

A. y+6 = -3 (x-2)

7 0
3 years ago
A 4​-ft vertical post casts a 20​-in shadow at the same time a nearby cell phone tower casts a 120​-ft shadow. How tall is the c
Sedaia [141]

change 20 in  to ft

20/12 = 1 2/3 ft


4 ft                               x ft

-------                     =    ---------------

5 /3 ft  shadow           120 ft


using cross products

4 * 120 = 5/3 x

480 = 5/3 x

multiply each side by 3/5

480 * 3/5 = x

288 ft

7 0
4 years ago
QUESTION 3
eduard

Athe answer is -2  because it is behind the 0 and will be negative and it is two lines away from the 0 so the answer is -2

3 0
4 years ago
PLEASE HELP ME!!!!!!
Nitella [24]

Answer:

The Articles of Confederation created a national government composed of a Congress, which had the power to ... Under the Articles, the states, not Congress, had the power to tax. ... The Articles of Confederation did not include a president.

Step-by-step explanation:

Hope this helps;)

6 0
3 years ago
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