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rewona [7]
3 years ago
12

What is the perimeter of a rectangle with length x+4 and a width of 5x-7

Mathematics
1 answer:
AlladinOne [14]3 years ago
8 0

Answer:

12x-6

Step-by-step explanation:

perimeter= 2l+2w

=2(x+4)+2(5x-7)

=2x+8+10x-14

=12x-6

You might be interested in
Surface Area of the pyramid
hichkok12 [17]

Answer:

C

Step-by-step explanation:

the total surface area of such a pyramid is the sum of 5 areas :

1 bottom square (8×8)

4 side triangles

the area of a triangle is

baseline × height / 2

now, we know the baseline of the 4 triangles, but what is their height (at least we know, all 4 have the same height, as the pyramid is totally regular) ?

the height of the side triangles is the slant height of the pyramid (the distance from the middle of a sideline to the top of the pyramid).

we get this by imagining a right-angled triangle inside the pyramid :

one leg is the inner height of the pyramid.

the second leg is the connection on the bottom square from the base of the inner height to the middle point of a sideline). this is half the length of a sideline.

and the baseline (Hypotenuse) is the slant height of the pyramid.

we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

slant height² = 7² + (8/2)² = 49 + 4² = 49 + 16 = 65

slant height = sqrt(65) = 8.062257748... in

so, we get a areas

bottom square = 8×8 = 64 in²

a side triangle = 8×sqrt(65)/2 = 4×sqrt(65) =

= 32.24903099... in²

all 4 side triangles = 4×32.24903099... =

= 128.996124... in²

and we get as total surface area

64 + 128.996124... = 192.996124... in² ≈ 193.00 in²

8 0
2 years ago
When a man observed a sobriety checkpoint conducted by a police​ department, he saw 671671 drivers were screened and 77 were arr
kifflom [539]

Answer:

P(\overline W)=0.98957

Step-by-step explanation:

Number of drivers Screened = 671

Number Arrested for Driving While Intoxicating = 7

If the W denotes the event of screening a driver and getting someone who is intoxicated.

The Probability of W, P(W)=\frac{7}{671}=0.01043

  • The Probability P(\overline W) is the probability of the event of screening a driver and getting someone who is not intoxicated. Simply put, it is the Probability of the Complement of W.

From Probability Theorem,

P(W)+P(\overline W)=1\\Since \: P(W)=0.01043\\0.01043+P(\overline W)=1\\P(\overline W)=1-0.01043\\=0.98957

8 0
3 years ago
Solve the decay equation y' = -ky using the integrating factors method. Show work
Alex777 [14]

Answer:

y=\frac{c}{e^{kx}}

Step-by-step explanation:

\frac{\mathrm{d} y}{\mathrm{d} x} =-ky

\frac{\mathrm{d} y}{\mathrm{d} x} +ky=0

comparing with equation

\frac{\mathrm{d} y}{\mathrm{d} x} + Py=Q(x)

I.F.= e^{\int P dx}

I.F.= e^{\int k dx}

I.F.= e^{kx}

y=\frac{1}{I.F.} ( \int {Q(x)}  dx  +c)

y=\frac{1}{e^{kx}} ( \int {0}  dx  +c)

y=\frac{c}{e^{kx}}

7 0
3 years ago
Subtract 5x - 2 from -3x +4
Solnce55 [7]

Answer:

8x+2

Step-by-step explanation:

Or -8x+2 but i think its 8x+2

4 0
3 years ago
Angela took a general aptitude test and scored in the 83rd percentile for aptitude in accounting.
tigry1 [53]

Answer:

(a) 83% of the scores were at or below her score.

(b) 17% was above her score.

Step-by-step explanation:

Given that:

Percentile score of Angela in the general aptitude test = 83rd percentile

To find:

a) Percentage of scores which were at or below her score?

b) Percentage of score which were above her score?

Solution:

First of all, let us learn about the term "<em>Percentile</em>"

Percentile is the value below which the certain percent of people/marks fall.

Therefore, when we say percentile of someone's score is x, then there are x\% of scores are at the same level or below.

And (100-x)\% of the scores are above this level.

Therefore, we can say that:

83% of the scores were at the same level or below the score of Angela.

And (100-83)\% = 17\% of the scores were above the score of Angela.

7 0
3 years ago
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