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denpristay [2]
3 years ago
10

What is the distance between the points (4, 6) and (5, 3)? Write the answer in simplest radical form.

Mathematics
1 answer:
frez [133]3 years ago
7 0

Answer:

\sqrt{10}  \:  \: units

Step-by-step explanation:

\sqrt{(6 - 3)^{2 }  + (4 - 5)^{2} }

\sqrt{9 + 1}

\sqrt{10}

= 3.16 units

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2. Use the following picture for this question:
Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

4 0
3 years ago
I need help I'm so confused
borishaifa [10]
A = L x W = 8 x 17 = 136
answer
C. 136 sq. units
8 0
3 years ago
Read 2 more answers
What is 1.21 divided by .11
wariber [46]
Your answer is 0.0909090909 if I'm not mistaken.
4 0
3 years ago
Read 2 more answers
A ramp was constructed to load a truck. If the ramp is 10 feet long and the horizontal distance from the bottom of the ramp to t
NeX [460]

Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle. The height from the ground to the top of the ramp 6. 0 ft. Option D is correct.

<h3>What is the  Pythagoras theorem?</h3>

Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.

It indicates that the area of the hypotenuse square is equal to the sum of the areas of the squares on the other two sides.

The given data in the problem will be;

L is the length of ramp=  10 feet

x is the horizontal distance from the bottom of the ramp = 8 feet

h is the height from the ground to the top of the ramp=?

According to Pythagoras theorem,

\rm H^2=P^2+B^2 \\\\  \rm l^2=h^2+X^2 \\\\ \rm 10^2=h^2+8^2 \\\\ \rm h=\sqrt{100-64 }  \\\\ \rm h=36 \\\\  \rm h=6 ft

Hence the height from the ground to the top of the ramp 6. 0 ft. Option D is correct.

To learn more about the  Pythagoras theorem refer to the link;

brainly.com/question/343682

8 0
2 years ago
Can someone help with this please? Will mark brainliest
snow_tiger [21]

Answer:

25 slugs

Step-by-step explanation:

If this is a physics-based problem, which it appears to be, then the formula for finding mass is

w = mg, where w is the weight, m is the mass, and g is acceleration due to gravity.  We have our weight and our gravity, so

800 = m(32) so

m = 800/32 and

m = 25 slugs

This answer does not include significant digits.  If it needed to, then your answer would be 30 slugs.  

7 0
3 years ago
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