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mafiozo [28]
3 years ago
11

It takes Ms. Linden 45 minutes to shovel her driveway. If her two teenage children help her, about how long would it take the th

ree of them to shovel the driveway?
Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0
It would take them 15 minutes
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What is the length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm?
Paul [167]

The length of the hypotenuse of a right triangle with sides that measure 7 cm and 24 cm is 25 cm

<u>Solution:</u>

Given a right angled triangle,

The sides measure 7 cm and 24 cm

We have to find the length of hypotenuse

For a right angled triangle, by Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

From above definition we get,

c^2 = a^2 + b^2

Where, "c" is the length of hypotenuse

"a" is the length of one side of triangle

"b" is the length of other side of triangle

Here, a = 7 and b = 24 and c = ?

c^2 = 7^2 + 24^2\\\\c^2 = 49 + 576 = 625

Taking square root on both sides,

c = \sqrt{625}\\\\c = 25

Hence the length of hypotenuse is 25 cm

7 0
3 years ago
In Triangle LMN, angle N is a right angle, LM=76 and MN= 40. What is the measure of angle M?
kogti [31]
The quastion is asking us to determine the measure of angle M in a right triangle LMN. We know that angle N is a right angle and that LM = 76 ( Hypotenuse ) and MN = 40 ( Adjacent ). We will use trigonometry: cos M = Adjacent / Hypotenuse = 40 / 76 = 0.5263158; M = cos^(-1) 0.563158; M = 58.242° = 58° 15`. Answer: The measure of angle M is<span> 58°15`.</span>
5 0
3 years ago
Find the missing side. Round your answer to the nearest hundredth.<br> х<br> 28°<br> 42 in<br> in
sleet_krkn [62]

Answer:

The length of the missing side x = 47.57 in    

Step-by-step explanation:

Given

Ф = 28°

The length of the side adjacent to the angle Ф is = 42 in

To determine

The hypotenuse x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

substitute adjacent = 42 in, hypotenuse = x and Ф = 28°

cos 28° = 42 / x

x = 42 / cos 28°

x = 47.57 in      

Therefore, the length of the missing side x = 47.57 in    

6 0
3 years ago
PLEASE, I NEED HELP! I will not accept nonsense answers, but I will give the person a BRAINLIEST if you get it correct.
alex41 [277]

Answer:  The last choice is correct. Edna can score 5 times as many points in the next level as in the level she has reached

Step-by-step explanation:    chart of values  for y= 5^{x}  

x is the level   y, points possible)

x    y

1     5

2   25

3   125

4    625

5    3125

You can see the exponential pattern

For what it's worth, two views of the graph of the equation are attached

The point values are astronomical!

6 0
3 years ago
Chanelle deposits $7,500 into the bank. She does not withdraw or deposit money for 6 years. She earns 6% interest during that ti
koban [17]

Answer: a. $2700

b. $10200

Step-by-step explanation:

a. The interest she would have earned at the end of the 6 years can be gotten using the formula

= PRT/100

= $7500 × 6% × 6

= $7500 × 6/100 × 6

= $7500 × 0.06 × 6

= $2700

b. Her balance when she wants to withdraw the money would be:

= $7500 + $2700

= $10200

5 0
2 years ago
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