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Zielflug [23.3K]
3 years ago
11

A box is 90 cm long. What is the length of the box in feet?

Mathematics
1 answer:
Taya2010 [7]3 years ago
5 0
90÷2=45.
45÷12=3.75ft.
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Which angles below are complementary?
tigry1 [53]

9514 1404 393

Answer:

  ∠KXN and ∠QXT

Step-by-step explanation:

The measure of each angle is the difference of the scale values that the rays intercept. (The same scale needs to be used for each ray.) Of course, complementary angles have a sum of 90°.

Here, we'll refer to angle aXb as "ab".

  NP = 95 -35 = 60

  PQ = 35 -20 = 15  . . .  not complementary to NP

__

  KN = 165 -95 = 70

  QT = 20 -0 = 20  . . .  complementary to KN   ⇒ your answer

__

  JK = 180 -165 = 15

  PQ = 35 -20 = 15  . . . not complementary to JK

__

  JK = 15

  NK = KN = 70  . . .  not complementary to JK

6 0
3 years ago
Given: The coordinates of triangle PQR are P(0, 0), Q(2a, 0), and R(2b, 2c). Prove: The line containing the midpoints of two sid
dsp73

Answer:

The answer is (a, 0)

Step-by-step explanation:

It's correct.

4 0
3 years ago
Read 2 more answers
How to find the general solution to y"'+2y"-4y'-8y=0?
S_A_V [24]
y'''+2y''-4y'-8y=0

has characteristic equation

r^3+2r^2-4r-8=r^2(r+2)-4(r+2)=(r^2-4)(r+2)=(r-2)(r+2)^2=0

which has roots at r=\pm2. The negative root has multiplicity 2. So the general solution is

y=C_1e^{2x}+C_2e^{-2x}+C_3xe^{-2x}
8 0
3 years ago
A total of $12,000 is invested at an annual interest rate of 9%. Find the balance
sineoko [7]

Answer:

$18,726.11

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First lets change 9% into a decimal:

9% -> \frac{9}{100} -> 0.09

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=12,000(1+\frac{0.09}{4})^{4(5)}

A=18,726.11

<u>The balance after 5 years is $18,726.11</u>

6 0
3 years ago
A triangle has one angle that measures 39 degrees, one angle that measures 104 degrees, and one angle that measures 37 degrees.
Nikitich [7]

Answer: Scalene triangle

Step-by-step explanation:

All triangles have three sides with specific lengths and angles, but a scalene triangle is a kind of triangle that has each of its three sides to be of different lengths and angles.

Hence, a triangle that measures 39°, 104°, and 37° definitely has three sides with different lengths and angles.

Thus, it is a scalene triangle.

8 0
3 years ago
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