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lozanna [386]
3 years ago
9

the area of a rectangle is x²-3x-10. what is the length of the rectangle if the with is x +2.?plsss asap​

Mathematics
1 answer:
Inga [223]3 years ago
7 0

Answer:

x - 5

Step-by-step explanation:

x^2 - 3x - 10

= (x + 2)(x - 5)

Sine the width is (x + 2), the length is (x - 5).

Hope this helped!

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A. 16
kogti [31]

9514 1404 393

Answer:

  C.  8√3/3

Step-by-step explanation:

It can be useful to remember that the ratio of sides in a 30°-60°-90° triangle are ...

  1 : √3 : 2

That is the short leg is 1/√3 times the length of the longer leg.

 8(1/√3) = 8(√3/3) . . . . . matches choice C

6 0
2 years ago
Bonnie deposits $70.00 into a new savings account. The account earns 45 % simple interest per year , s added or removed from the
nordsb [41]

Answer:

\$164.5

Step-by-step explanation:

Bonnie deposits $70.00 into a new savings account.

The account earns 45% simple interest per year.

She neither added or removed from the savings account for 3 years.

We know that,

i=\dfrac{P\cdot r\cdot r}{100}

here,

i = interest,

P = principal = $70,

r = rate of interest = 45%,

t = time = 3 years,

Putting the values,

i=\dfrac{70\cdot 45\cdot 3}{100}=\$94.5

So the total amount will be,

=\text{Principal}+\text{Interest}

=70+94.5

=\$164.5

6 0
3 years ago
Read 2 more answers
There are many regulations for catching lobsters off the coast of New England including required permits, allowable gear, and si
Georgia [21]

Answer:

Probability that the sample mean carapace length is more than 4.25 inches = 0.9993

Step-by-step explanation:

Given - There are many regulations for catching lobsters off the coast

             of New England including required permits, allowable gear, and

             size prohibitions. The Massachusetts Division of Marine Fisheries

             requires a minimum carapace length measured from a rear eye

             socket to the center line of the body shell. For a particular local

             municipality, any lobster measuring less than 3.37 inches must

             be returned to the ocean. The mean carapace length of the  

             lobsters is 4.01 inches with a standard deviation of 2.13 inches.

             A random sample of 60 lobsters is obtained.

To find - What is the probability that the sample mean carapace length

              is more than 4.25 inches?

Proof -

Given that, μ = 4.01, σ = 2.13 , n = 60

Now,

μₓ⁻ = σ / √n

    = \frac{2.13}{\sqrt{60} }

    = \frac{2.13}{7.746} = 0.275

⇒μₓ⁻ = 0.275

Now,

P(X⁻ > 3.37) = 1 - P( X⁻ <  3.37)

                   = 1 - P(z <  \frac{3.37 - 4.25}{0.275} )

                   = 1 - P( z < -3.2 )

                   = 1 - 0.0007

                   = 0.9993

⇒P(X⁻ > 3.37) = 0.9993

∴ we get

Probability that the sample mean carapace length is more than 4.25 inches = 0.9993

6 0
2 years ago
2,8,18,32,50,72 which term is the sequence is 512?
docker41 [41]

Answer:

16

Step-by-step explanation:

2+6=8

8+10=18

18+14=32

6+4=10 10+4=14

an+1=an+(2+4n)

a7=a6+26=72+26=98

a8= a7+30= 98+30=128

a9=a8+34=128+34= 162

a10=a9+38= 162+38=200

a11=a10+42= 242

a12=242+46=288

a13=288+50= 338

a14=338+54= 392

a15=392+58= 450

a16= 450+62=512

7 0
3 years ago
Find the area of thi emi-circle with diameter, d = 8cm. Give your anwer a an expreion in term of π
GrogVix [38]

The area of semi-circle is 8π cm² with diameter of 8cm.

What is area of semi-circle?

  • The area that the semicircle occupies is that which is contained inside its perimeter. Half of a circle is a semicircle.
  • The area of a semicircle will therefore be equal to half that of a circle. Both the radius and the diameter can be used to get the semicircle's area.
  • The formula used to determine a semicircle's area in terms of radius "r" is written as follows:

Area of circle = πr²/2

  • Area of semi-circle=  πd²/8  is the formula used to determine a semicircle's area in terms of its diameter.
  • The value of the constant is 22/7, or 3.14.

Given:

Diameter = 8cm

Area of semicircle = πd² / 8

=π8² / 8

= 8π cm²

Hence, the area of semi-circle is 8π cm².

To know more about semi-circle check the below link:

brainly.com/question/15822332

#SPJ4

6 0
1 year ago
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