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2 years ago

What kind of angles are formed if you divide a right angle in half

Mathematics

2 answers:

Bingel [31]2 years ago

3 0

Acute angles are formed

aleksandr82 [10.1K]2 years ago

3 0

Complementary angles. These are angles less than 90 degrees, and add up to 90 degrees. However, if you want to get technical, they are 45 degrees each

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How long is a guy wire reaching from the top of a 6ft. Pole to a point on the ground 4ft. From the pole

dlinn [17]

Answer:

the guy wire is 7.211 ft long

Step-by-step explanation:

Notice that we are in the presence of a right angle triangle formed by: the height (the standing 6 ft pole), the base (the distance from the pole to the anchoring point on the ground), and the actual guy wire. See attached image for reference.

Notice that since pole and ground are perpendicular to each other (at 90 degrees) , the guy wire forms what is called the "hypotenuse" (longest side) of the right angle triangle. We can therefore use the Pythagorean Theorem to solve this problem with the formula for the hypotenuse:

$Hypotenuse=\sqrt{side1^2 +side2^2} \\Hypotenuse= \sqrt{6^2+4^2}\\Hypotenuse=\sqrt{36+16} \\Hypotenuse=\sqrt{52} \\Hypotenuse=7.2111\, ft$

4 0

2 years ago

A motorboat travels 220 kilometers in 4 hours going upstream. It travels 260 kilometers going downstream in the same amount of t

aliya0001 [1]

Answer: The rate of boat is 60 kmh.

The rate of current is 5 kmh.

Step-by-step explanation:

Alright, lets get started.

Suppose the rate of boat in still water is : b kmh

Suppose the rate of current is : c kmh

When the boat is going upstream, the relative speed will be : $(b-c)$

When the boat is going downstream, the relative speed will be: $(b+c)$

Boat travels 220 kilometers in 4 hours going upstream.

$speed=\frac{distance}{time}$

$(b-c)=\frac{220}{4}$ .................. equation (1)

It travels 260 kilometers going downstream in the same amount of time.

$(b+c)=\frac{260}{4}$ ................... equation (2)

Adding equation 1 and 2

$b-c+b+c=\frac{220}{4}+\frac{260}{4}$

$2b=\frac{480}{4}$

$2b=120$

$b=60$

Plugging the value of b as 60 in equation 2

$60+c=\frac{260}{4}$

$60+c=65$

$c=5$

Hence the rate of boat is 60 kmh.

Hence the rate of current is 5 kmh.

Hope it will help :)

6 0

2 years ago

Pls answer asap :)

dezoksy [38]

Answer:

one fourth

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Help please?? If you deposit $750 in an account that pays 8% annual interest compounded continuously, what will the balance be a

Stella [2.4K]

The formula of a continuous compound interest is
A=p e^rt
A the balance?
P present value 750
E constant
R interest rate 0.08
T time 5 years
A=750×e^(0.08×5)
A=1,118.87

7 0

3 years ago

The volume of a box in the shape of a rectangular prism

MakcuM [25]

Answer: 12

Step-by-step explanation:

7 0

2 years ago