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kari74 [83]
2 years ago
14

Simplify the radical expression by rationalizing the denominator

Mathematics
1 answer:
Nuetrik [128]2 years ago
3 0

Answer: Your answer is A

Step-by-step explanation:

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Find the value of x in the triangle shown below.
MAVERICK [17]

Answer:

What triangle?

Step-by-step explanation:

6 0
2 years ago
Please answer the question in the picture below. Thanks!
Arada [10]

Answer:

Yes

Step-by-step explanation:

\frac{DH}{HE}=\frac{18}{36}=\frac{1}{2}

\text{This means that } DH=\frac{1}{2}HE

and thus the given segments are parallel by the converse of the triangle proportionality theorem.

4 0
2 years ago
20 POINTS!!! PLZ ANSWER!! On the moon, the time, in seconds, it takes for an object to fall a distance, d, in feet, is given by
scoundrel [369]

Answer:

Part a) f(2)=1.57\ sec

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) see the explanation

Part c) 2,165.43\ sec

Step-by-step explanation:

Let

f(d) -----> the time in seconds it takes for an object to fall

d -----> distance in feet

we have

f(d)=1.11\sqrt{d}

Part a): Determine f(2) and explain what it represents

we know that

f(2) represent the time in seconds it takes for an object to fall a distance of 2 feet

For d=2\ ft

substitute in the function above and solve for f(2)

f(2)=1.11\sqrt{2}

f(2)=1.57\ sec

therefore

It takes 1.57 seconds for an object to fall a distance of 2 feet

Part b) The imbrium basin is the largest basin on the moon. A reasonable domain for the height above the lowest point in the basin is given by {d|0 ≤ d ≤ 3805774}

What does this tell you about the basin?

The height of the basin is greater than or equal to 0 ft and less than or equal to 3,805,774 ft  

so

The maximum height of the basin is 3,805,774 ft

Part c) How long would it take a rock to drop from the rim to the bottom of the basin?

we know that

The distance from the rim to the bottom of the basin is equal to the maximum height of the basin

so

d=3,805,774\ ft

substitute the value of d in the function f(d)

f(d)=1.11\sqrt{3,805,774}

f(d)=2,165.43\ sec

3 0
3 years ago
Given: KLMN is a trapezoid m∠K = 90°, m∠N = 45° LK = LM = 10 Find: KN, Area of KLMN
Ilya [14]
Let KLMN be a trapezoid (see added picture). From the point M put down the trapezoid height MP, then quadrilateral KLMP is square and KP=MP=10.
A triangle MPN is right and <span>isosceles, because
</span>m∠N=45^{0}, m∠P=90^{0}, so m∠M=180^{0}-45^{0}-90^{0}=45^{0}.Then PN=MP=10.
The ttapezoid side KN consists of two parts KP and PN, each of them is equal to 10, then KN=20 units.
Area of KLMN is egual to A= \frac{LM+KN}{2} *MP= \frac{10+20}{2} *10=150 sq. units.


5 0
3 years ago
Maria’s phone bills were 95 67 43 and 115 what is the mean or average of her phone bill
Vesna [10]

Answer:

80

Step-by-step explanation:

You have to add all of the numbers together and divide them by how many numbers there are.

95 + 67 + 43 + 115 = 320

320 / 4 = 80

5 0
3 years ago
Read 2 more answers
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