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Natalka [10]
3 years ago
11

Seraphina says that angle KLM is a right triangle. Is she correct? Explain.​

Mathematics
2 answers:
bezimeni [28]3 years ago
6 0

Answer:

No, she isn't correct

Step-by-step explanation:

It may look like the triangle is a right triangle, and if so it would be that m∠KML is 90 degrees. For the moment, let us assume that it is a right triangle, that ∠KML is 90.

That would mean that Pythagorean Theorem is applicable:

KL^2 = KM^2 + ML^2,

(19)^2 = (12)^2 + (16)^2,

361 = 144 + 256,

361 = 400,

361 ≠ 400,

(This means that Pythagorean Theorem is not applicable, and KLM is not a right triangle)

katovenus [111]3 years ago
4 0

Answer:

Incorrect

Step-by-step explanation:

The angle is acute,which means under right triangle's usual size.

You need at least 90 cm to have a right triangle so no she is incorrect

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Jude is making a door for a door frame with an opening that measures 9 feet by 3 feet. Which diagonal length should he use to ma
vazorg [7]

Answer:

12

Step-by-step explanation:

9+3=12. therefore 12 is your answer

8 0
3 years ago
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A contract calls for the buyer to pay $165,000 for a house and one acre of land, plus $5,000 for each additional acre of land. T
GaryK [48]

Answer: $181,500

Step-by-step explanation:

If amount paid for house and one acre of land = 165,000

Then, additional acre of land is 4.3 acres- 1 acre of land purchased with the house = 3.3 acres of land

If additional acre goes for 5,000 per acre

1 acre = 5,000

3.3 acres = 5,000 x 3.3 = $16,500

Total amount paid for the land and the land

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6 0
4 years ago
Someone help me please.
mrs_skeptik [129]

Step-by-step explanation:

f(x) = -0.01x² + 0.7x + 6.1

a) f(x) is a downward facing parabola, so the maximum height is at the vertex.  The vertex of a parabola can be found using x = -b/(2a).

x = -0.7 / (2 × -0.01)

x = 35

f(35) = -0.01(35)² + 0.7(35) + 6.1

f(35) = 18.35

The maximum height is 18.35 feet.

b) The maximum horizontal distance is when the ball lands, or when f(x) = 0.

0 = -0.01x² + 0.7x + 6.1

0 = x² − 70x − 610

Solve with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-70) ± √((-70)² − 4(1)(-610)) ] / 2(1)

x = (70 ± √7340) / 2

x = 35 ± √1835

x = -7.84, 77.84

x can't be negative, so x = 77.84.  The ball's maximum horizontal distance is 77.84 feet.

c) When the ball is first launched, x = 0.  The height at that position is:

f(0) = 6.1

The ball is launched from an initial height of 6.1 feet.

7 0
3 years ago
You borrowed $12,000 for 6 years at an interest rate of 1.25%. What is the maturity value of the loan?​
Schach [20]

Answer:

The "total loan cost" formula is what you'll need (and it is attached).

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and "n" is number of months (6 years = 72 months)

Total Loan Cost = (r*p*n) / 1 -((1 + r)^-n)

Total Loan Cost = (0.0010416667  * 12,000 * 72) / 1 -((1.0010416667)^-72)

Total Loan Cost = 900 / 1 -0.9277797019

Total Loan Cost = 900 / 0.0722202981  

Total Loan Cost = 12,461.87

Step-by-step explanation:

5 0
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\frac{1}{3} \times  \frac{3}{4} = \frac{1}{4}
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