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Anarel [89]
3 years ago
11

The length of a rectangle is 6 cm longer than its width.

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
4 0
2(6+w)+2(w)=40
12+2w+2w=40
12+4w=40
4w=28
w=7
Now we know that the width is 7; abd the length is 7+6 which is 13.
To find the area we multiply 13x7
The area is 92cm squared
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Help me
Aliun [14]

Answer:

2 Real Roots

Step-by-step explanation:

The discriminant (D) is found using the formula b^2+4ac for the equation ax^2+bx+c.

If D>0 there are two real roots, D=0 one real root and D<0 no real roots.

D = b^2+4ac

D =  10^2+4(-4)(-8)

D = 100+32*4

D = 100+128

D =  228

since 228>0

There are 2 real roots

6 0
4 years ago
Assume the cost of a car is $25,000. With continuous compounding, in effect, the cost of the care will increase according to the
Masja [62]
The value of t that makes the factor e^(.032t) have the value of 2 can be found using logarithms.
  2 = e^(0.032t)
  ln(2) = ln(e^(0.032t)) = 0.032t
  t = ln(2)/0.032 ≈ 21.66

It would take 21.66 years for the cost to double.
4 0
3 years ago
A buoy is floating in the sea and can be seen from the top of a vertical cliff. A boat is travelling from the base
uranmaximum [27]

Answer:

169.23m

Step-by-step explanation:.

Let's calculate the base of the cliff. Using SOH CAH TOA identity

Height (opposite) = 142n

Angle of depression = 40°

Required

Base of the cliff

Tan theta = opposite/adjacent

Tan 40 = 142/x

x = 142/tan40

x = 142/0.8391

x = 169.23m

Hence the base of the cliff is 169.23m long

6 0
3 years ago
Find the volume of a regular tetrahedron whose altitude measures 10 cm.
Vlad [161]
The answer is 118 cm³

The volume of tetrahedron (V), where a is its altitude, can be expressed as:
V= \frac{ a^{3}}{6 \sqrt{2} } =
V =  \frac{10 ^{3} }{6 \sqrt{2} } = \frac{1000}{6*1.41} = \frac{1000}{8.46} = 118.2  cm^{3} ≈ 118 cm³
6 0
3 years ago
Translation, Rotation, and Reflection
alukav5142 [94]

Answer:

  see the attachment

Step-by-step explanation:

If the "transformed" figure looks exactly like the original, but is in a different place, it has been translated (trn).

If the transformed figure has the appearance you would see if you looked at the original in a mirror, it has been reflected (ref). All of these figures have been reflected left-right, so the transformation is not difficult to see.

If the transformed figure is one you would get if you stuck a pin in the original and turned the page 90° to the left (CCW), then it has been rotated (rot). All of these figures have the same 90° ccw rotation, so the transformation is not difficult to see.

_____

<em>Comment on the question</em>

Matching figures with translated/rotated/reflected versions of themselves is a common problem type on intelligence tests.

5 0
3 years ago
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