1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sphinxa [80]
3 years ago
5

In ΔKLM, the measure of ∠M=90°, the measure of ∠L=76°, and LM = 99 feet. Find the length of KL to the nearest tenth of a foot.

Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Answer:

The length of KL is 409.2 foot

Step-by-step explanation:

Firstly, please check attachment for diagrammatic representation.

From the diagram, we can see that we are asked to calculate the value of the hypotenuse KL. Kindly note that the hypotenuse is the longest side of the right-angled triangle and it faces the angle 90 at all times.

Looking at what we have, we can see that we have adjacent and we are asked to calculate hypotenuse.

The trigonometric identity to use here is the Cosine

Cosine = length of adjacent/length of hypotenuse

cos 76 = 99/hypotenuse

hypotenuse = 99/cos76

hypotenuse = 99/0.24192

hypotenuse = 409.22 which is 409.2 to the nearest tenth of a foot

You might be interested in
Examine the following graph, where P(x) is the preimage and I(x) is the image after a transformation.
Arisa [49]

Answer:

the 4th answer I(x) = P(x-4)

Step-by-step explanation:

the first 2 options are out, because just adding values to the functional result values changes the y value, and the curve is pushed up or down. but not to the side.

just imagine

I(x) = P(x-4) means that the function value of previously at x-4 happens now at x. 4 units "later" (or more to the right).

"x+4" would make the functional value at previously x+4 happen now at x. so, everything would shift to the left (happen "earlier").

therefore, the 4th answer option is correct.

3 0
1 year ago
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-s
Radda [10]

Answer:

68%

Step-by-step explanation:

The Standard Deviation Rule = Empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question,

Step 1

We have to find the number of Standard deviation from the mean. This is represented as x in the formula

μ = Mean = 61

σ = Standard Deviation = 8

For x = 53

μ - xσ

53 = 61 - 8x

8x = 61 - 53

8x = 8

x = 8/8

x = 1

For x = 69

μ + xσ

69 = 61 + 8x

8x = 69 - 61

8x = 8

x = 8/8

x = 1

This falls within 1 standard deviation of the mean where: 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

Therefore, according to the Standard Deviation Rule, the approximate percentage of daily phone calls numbering between 53 and 69 is 68%

3 0
2 years ago
Which equation illustrates the commutative property of addition?
lbvjy [14]
<span>commutative property of addition
answer is

</span><span>A. 12 + 6 + 15 = 12 + 15 + 6</span>
3 0
3 years ago
Read 2 more answers
If Y=-5x-6 What is the value of Y hen.
Scorpion4ik [409]

The value of 'y' is exactly 6 less than the negative fifth multiple of 'x'.


7 0
3 years ago
If you exercise regularly, you have a healthy body. If you have a healthy body, you have more energy. You have a healthy body Yo
seraphim [82]
That's not a question bud, it's just a statement
5 0
3 years ago
Read 2 more answers
Other questions:
  • The function f(x) = –10(x)(x – 4) represents the approximate height of a projectile launched from the ground into the air with a
    5·2 answers
  • A school snack bar sells a mix of granola and raisins. The mix includes 2 pounds of granola for every 3 pounds of raisins. How m
    13·1 answer
  • A frightened child is restrained by her mother as the child slides down a frictionless playground slide. If the force on the chi
    13·1 answer
  • When the coordinates (1, 1), (4, 4), (7, 1), and (4, −2) are joined, which shape is formed? Parallelogram Rectangle Trapezoid Sq
    15·2 answers
  • Solve the equation. Then check your solution. x+19=5
    6·1 answer
  • The function f ( x ) = x ^3 + 2x^2− 5 x − 6 has a root at 2. Name all roots of this function.
    15·1 answer
  • Can someone help me by looking at the picture above??
    15·2 answers
  • A rectangular swimming pool is 15 meters long, 11- meters wide, and 4-meters deep. What is its 2 2. volume? The volume is cubic
    10·1 answer
  • Find the inverse of the following
    5·2 answers
  • Which of the following numbers is between 0.40 and 0.47?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!