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
solmaris [256]
3 years ago
7

Find the missing length indicated Please help, no links

Mathematics
2 answers:
siniylev [52]3 years ago
8 0

Answer:

x = 135

Step-by-step explanation:

m = length of perpendicular line to hypotenuse

81/m = m/144

m² = 81 x 144 = 11664

m =√11664 = 108

Using the Pythagorean theorem:

x² = 81² + 108² = 6561 + 11664 = 18225

x = √18225 = 135

luda_lava [24]3 years ago
7 0

9514 1404 393

Answer:

  x = 135

Step-by-step explanation:

Side x is the geometric mean of the hypotenuse segments it touches.

  x = √(81×(81+144)) = √81×√225 = 9×15

  x = 135

You might be interested in
Where should the linear inequality y >
QveST [7]
The answer is C above the line
8 0
3 years ago
Read 2 more answers
Given: KPST is a trapezoid, KP=ST, MN is a midsegment, MN=20, h=15, PS:KT=3:7 Find: KS and KP
lions [1.4K]

Answer:

Length of KS = 25 units and

Length of KP = 17 units.

Step-by-step explanation:

Given: KPST is a trapezoid, KP =ST, MN is a mid segment, h is the height =15

Also it is given that, MN = 20 , h = 15 and PS:KT = 3:7.

  • If two sides of the trapezoid are equal then, it is an isosceles trapezoid.
  • Mid-segment of a trapezoid is a line segment which connects the midpoints of the non-parallel sides.
  • A trapezoid mid segment connects the midpoints of two congruent sides of the trapezoid and is parallel to the pair of parallel sides.
  • Length of the mid segment is the sum of two bases divide by 2

Since, the length of Mid-segment MN = 20.

Also, it is given: PS:KT = 3:7

Let  PS = 3x and KT = 7x respectively.

then;

\frac{PS+KT}{2} = 20

\frac{3x+7x}{2} = 20

\frac{10x}{2} =20

On Simplify, we get;

5x =20

Divide both sides by 5 we get;

x =4

Then:

Length of base PS = 3x = 3(4) = 12 and Length of base KT = 7x = 7(4) = 28.

Now, In triangle PLK

Using Pythagoras theorem to find KP;

It is given here, PL =h =15 and KL= 8 {you can see in the figure as shown below};

KP^2= PL^2 + KL^2

KP^2 = 15^2+8^2 =225 +64 = 289

KP = \sqrt{289}

Simplify:

KP = 17

therefore, the length KP = 17 units

To, construct a line: Join K and S

Now, in triangle KRS

KR = KL +LR = 8 +12 =20 and SR = h= 15

Using Pythagoras theorem in KRS to find KS;

KS^2 = SR^2+KR^2

KS^2 = 15^2 + 20^2 = 225 + 400 = 625

KS = \sqrt{625}

On simplify:

KS = 25

Therefore, the length of KS is, 25 units.

4 0
3 years ago
A 16 oz package of brown rice costs 79 cents and 32 oz package of white rice costs $3.49. Which package is a better buy
notka56 [123]
32 Oz of brown rice -> 79 * 2 = $1.58

The brown rice is better to buy because $1.52 is less than $3.49.

Please make this answer the brainiest~
7 0
3 years ago
Read 2 more answers
Assume that you are starting a retirement annuity that pays 4.5% annual interest compounded monthly. You
Kisachek [45]

Answer:

$70, 400

Step-by-step explanation:

1760000 / 25 is the number stated above

5 0
3 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
Other questions:
  • Roderik dilated line m through a point not on the line. Which is the best description of the new image he created?
    9·1 answer
  • Which is the rule for the sequence shown?
    9·2 answers
  • Graph the inequality a < 1.6.
    6·1 answer
  • The last 10 calls to a customer support line had the following lengths (in minutes).
    5·1 answer
  • A
    6·1 answer
  • Find the Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. Round to the nea
    12·1 answer
  • Gina has two job offers as a dog walker. She wants to earn at least $75 each week. The first offer pays $15 each week plus $3 pe
    7·1 answer
  • A girl has 11 coins in dimes and quarters. Their value is $1.55. How many quarters does she have?
    12·1 answer
  • Every year for Valentine's Day, Martin gets his
    7·1 answer
  • Which expression represents the statement "12 divided by 3, then add 5"?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!