All categories

3 years ago

Please help me on this im so overwhelmed right now

Mathematics

2 answers:

Aleks04 [339]3 years ago

6 0

15 i believe
Hopefully it’s good :)

Allushta [10]3 years ago

3 0

He hiked 15 miles on friday

You might be interested in

A ladder 10 m long,leans against a vertical wall at an angle of 70° to the ground.if the ladder slips down the wall 4m,find,corr

lina2011 [118]

Answer:

(a) the new angle the ladder makes with the ground is $32.7^o$

(b) the ladder slipped back about 5 meters

Step-by-step explanation:

Notice that the ladder doesn't change its length in the process.

So let's start from the initial situation , finding the distance from the ground at which the ladder touches the wall when the angle with the ground is 70^o. Notice that this situation is represented by a right angle triangle with the right angle between the wall and the ground (see attached image), and that we can use the sine function to find the side opposite to the 70 degree angle:

$sin(70^o)=\frac{opposite}{hypotenuse} \\sin(70^o)=\frac{h}{10}\\h=10\, sin(70^o) \approx 9.4 \,\,m$

therefore 9.4 meters is approximately the height at which the ladder touches the wall initially.

Now, if the tip of the ladder goes down the wall 4 meters, it is now at 9.4 m - 4 m = 5.4 m from the ground. We can therefore use again the sine function to solve for the new angle:

$sin(x)=\frac{opposite}{hypotenuse} \\sin(x)=\frac{5.4}{10} \\sin(x)=0.54\\x=arcsin(0.54)\\x= 32.7^o$

To answer the second question we need to find the original distance from the wall that the bottom of the ladder was originally, and for that we can use the cosine function:

$cos(70^o)=\frac{adjacent}{hypotenuse} \\cos(70^o)=\frac{x}{10}\\x=10\,cos(70^o)\\x\approx 3.4 \,\,m$

Now fro the new position of the bottom of the ladder relative to the wall:

$cos(32.7^o)=\frac{adjacent}{10} \\adjacent=10\,cos(32.7^o)\\adjacent\approx 8.4\,\,m$

then the difference in between those two distances is what we need:

8.4 m - 3.4 m = 5 m

4 0

3 years ago

The value of c is equal to _____.

DENIUS [597]

For this case we have that by definition, the Pythagorean theorem states that:

$c = \sqrt {a ^ 2 + b ^ 2}$

Where:

a, b: Are the legs

c: It is the hypotenuse

According to the figure we have to:

$a = 20\\b = 21$

Substituting in the formula we have:

$c = \sqrt {(20) ^ 2 + (21) ^ 2}\\c = \sqrt {400 + 441}\\c = \sqrt {841}\\c = 29$

Answer:

Option D

8 0

3 years ago

mya has ballet lessons every sixth day and swimming every fourth day. today she has both lessons. in how many days will mya have

ra1l [238]

To determine when Mya will have both lessons again on the same day, you will list the multiples of each number of days because to show every 4 or 6 days, you will count by 4's and 6's.

When you get to the first number that is the same, that will be the next time she will have both lessons again. This is called the least common multiple (LCM).

4, 8, 12, 16, 20, ...
6, 12, 18, 24

In 12 days she will have both lessons again.

5 0

3 years ago

PLEASE HELP ILL GIVE BRAINILEST ANSWER!

skelet666 [1.2K]

Answer:

Angle A=73

Step-by-step explanation:

5 0

3 years ago

Put it in decimal form plssss………

raketka [301]

The answer is 58, because 2/5 is equal to 0.4, and 0.4 multiplied by 145 is 58.