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shusha [124]
3 years ago
7

the length and width of a rectangle are consecutive integers. If the area of the rectangle is 90cm^2 , what is the primeter of t

he triangle
Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:

Step-by-step explanation:

Let length and width of a rectangle be  x, x+1

Area = 90 sq.cm

length * width = 90

x * (x + 1) = 90

x²  + x  = 90

x²  + x  - 90 = 0

x²  + 10x - 9x - 9 * 10 = 0

x ( x  + 10 ) - 9 (x + 10 ) = 0

(x + 10 ) (x - 9) = 0

x + 10 = 0    or x - 9 = 0

x = -10   { impossible . as length cannot be negative} ;

x = 9

Length = 9 , width = 10

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Find the elapsed time.
Anit [1.1K]

Answer:

( B) explination

Step-by-step explanation:

6:38 so i got to a easy number to just add easier

+0.22

7:00. -9:45=2.45 so 45 is 3/4 of an hour so there is 1 left so 15=1/4 of an hour so 2.45

+0.15

3:00

so 22-15=7 so she drove 3 hours and 7 minutes :)

8 0
3 years ago
Megan uses a pedometer to find how many steps she takes each school day. she took 32,410 steps over the course of 5 days. she to
uysha [10]

Answer:

2.86 miles.

Step-by-step explanation:

We have been given that Megan uses a pedometer to find how many steps she takes each school day. she took 32,410 steps over the course of 5 days.

\text{Steps per day}=\frac{32410}{5}

\text{Steps per day}=6482

\text{Inches in 6482 steps}=6482\times 28

\text{Inches in 6482 steps}=181496

1 feet = 12 inches.

\text{Feet in 6482 steps}=\frac{181496}{12}

\text{Feet in 6482 steps}=15124.666666

\text{Miles in 6482 steps}=\frac{15124.666666}{5280}

\text{Miles in 6482 steps}=2.8645

\text{Miles in 6482 steps}\approx 2.86

Therefore, Megan walks 2.86 miles on Monday.

5 0
3 years ago
Read 2 more answers
Sylvanite is a mineral that contains 28.0% gold by mass. Determine how much sylvanite would you need to dig up to obtain 81.0 g
lidiya [134]
Since Sylvanite only contains 28% gold by mass, then to obtain 81.0 grams of gold, x amounts of sylvanite must be mined. To determine x, we divide 81 grams by 28%. This equation is shown below:

0.28X = 81

X = 81/0.28
X = 289.29 grams

Therefore, 289.29 grams of sylvanite must be dug up to obtain 81 grams of gold.
3 0
3 years ago
1. Find the vertex of the following: y = (x - 4)(x - 10) *
horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

\frac{-b}{2a}

First make the equation into a quadratic equation.

(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40

Now it is in the form

ax^{2} +bx+c=0

Now we can substitute the values

\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7

Now we have 7 as our x value for the vertex we can substitute for y,

x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

x-4=0\\x=4\\\\x-10=0\\x=10

4 is slightly different but start the same,

(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30

Vertex,

\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1

Substitute,

2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32

So the vertex is (-1,-32)

8 0
3 years ago
How do I solve for n? 13=n-8
choli [55]
N in (-oo:+oo)

-13 = n-8 // - n-8

8-n-13 = 0

-n-5 = 0 // + 5

-n = 5 // * -1

n = -5

n = -5
3 0
3 years ago
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