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ArbitrLikvidat [17]
3 years ago
7

What is the area of the triangle? Drag the dot to help you remember the formula.

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0
<h3>Answer:  10 square units</h3>

Work Shown:

base = 4

height = 5

area of triangle = (1/2)*base*height = (1/2)*4*5 = 10

The dot can be dragged to the left so that the dashed height line is inside the triangle. No matter where you drag the green dot, the height stays the same and so does the area.

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A 15 ft ladder makes a 52° angle with the ground. How far will the top of the ladder be above the ground.
levacccp [35]

Answer:

11.820 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that ...

Sin = Opposite/Hypotenuse

The length of the ladder is the hypotenuse of a right triangle with 52° as the base angle. The side opposite is the height up the building where the top of the ladder rests. So, you have the relation ...

sin(52°) = height/(15 ft)

Multiplying by the denominator gives you ...

height = (15 ft)·sin(52°) ≈ 11.820 ft

___

You may need to round this number appropriately.

5 0
4 years ago
Find the least common multiple of 20, 4, and 5
Salsk061 [2.6K]

Answer:

LCM = 20

Step-by-step explanation:

You need to make everything into 20. Luckily, 4X5 is 20 and vise versa.

4 0
3 years ago
Explain the difference between parallel and perpendicular slope in fewer than twenty words.
viva [34]

Answer:

parallel refers to two equidistant lines, Because the lines are equally distant, they have the same slope and the angle between them is zero. On the other hand, when two lines intersect at a right angle, they are called perpendicular.

Step-by-step explanation:

7 0
3 years ago
A long distance runner can run 2 miles every 17 minutes. At this rate how ling would it take the runner to run 16 miles.
VLD [36.1K]

Answer:

136 minutes

Step-by-step explanation:

Given :

2 miles ----> takes 17 min

1 mile -----> takes 17/2 min

hence the unit rate is (17/2) min per mile

Thus, 16 miles will take

= (17/2) miles per min x 16 miles

= (17/2) x 16

= 136 minutes

6 0
4 years ago
Read 2 more answers
The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties
serious [3.7K]
There were about ...
6 0
3 years ago
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