Solve the equation.
,3
y =1,000

Answer:

32r2, 128 cm ^2

The area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.

A square is a parallelogram, whose all sides are congruent and all angles are right angle.

Given that,  a square with diagonal length 16 cm

Let the side of the square be a,

We know that, all sides of a square are congruent,

And, the diagonal divides it into two congruent right triangles,

Therefore, using Pythagoras theorem,

a²+a² = 16²

2a² = 256

a² = 128

a = 8√2

Area = side²

Therefore, area = 128 cm²

perimeter = 4×sides = 32√2 cm

Hence, the area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.

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Answer:

Solve for the input that corresponds to the given output value. (Round answers to three decimal places when appropriate. Enter your answers as a comma-separated list. Note: Even though the question may be completed without the use of technology, the authors intend for you to complete the activity using the technology you will be using.

Step-by-step explanation:

Answer:

the answer is 0.5, or about 50%

Step-by-step explanation:

If 8 slices are being take out of 16, divide the taken pieces by the total pieces, and it would be half or 0.5.

Hope this helps

Answer: 0.5

Step-by-step explanation: because if the pizza is 8 slices that would be the half of the original number of slices it was, so therefore, it would be rounded to 0.5, or 50%- half the pizza

Step-by-step explanation:

Weight before diet: 208 pounds

After diet: 192 pounds

Difference in weight: 16 pounds

(16÷208)*100= 7.7%

Answer:

Step-by-step explanation:

A = h(a+b)/2 for h

2A = h(a + b)

h(a+b) = 2A

h = 2A/(a+b)

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

[tex] \therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}[/tex]

Answer:

A=3

Step-by-step explanation:

Step 1: Divide both sides by -6/

-6a/-6= -18/-6

a=3

Answer:

slope of line is 0.

Step-by-step explanation:

Slope of a line passing through (x1,y1) and (x2,y2) is given by

m = (y2-y1)/(x2-x1)

Given points are  (10,5) and (9,5)

thus

slope = (5-5)/(9-10) = 0/-1 = 0

Thus, slope of line is 0.

When slope of line is zero it means that the line the which passes through given point is parallel to x-axis.

The slope of the line that passes through the points (10,5) and (9,5) is 0.

Using slope formula,

m = y₂ - y₁ / x₂ - x₁

Therefore,

(10,5) (9,5)

m = 5 - 5 / 9 - 10

m = 0 / -1

m = 0

Therefore, the slope of the line that passes through the points (10,5) and (9,5) is 0.

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Answer: [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

When you multiply fractions, it is the same as adding or subtracting, but you don't have to worry about having a common denominator. All you have to do is multiply straight across and simplify.

[tex]\frac{4}{3}*\frac{2}{3} =\frac{8}{9}[/tex]

Now we know the answer is [tex]\frac{8}{9}[/tex].

Answer:

8/9

Step-by-step explanation:

The answer is 8/9 because:

1) Whenever we multiply fraction, we have to multiply the numerator and the denominator together: numerator x numerator/denominator x denominator

2) Therefore, 4 x 2/ 3 x 3 = 8/9

Hope this helps! :D

Answer:

  an = 2·2^(n-1)

Step-by-step explanation:

There are simple tests to determine whether a sequence is arithmetic or geometric. The test for an arithmetic sequence is to check to see if the differences between terms are the same. Here the differences are 2, 4, 8, so are not the same.

The test for a geometric sequence is to check to see if the ratios of terms are the same. Here, the ratios are ...

  4/2 = 2

  8/4 = 2

  16/8 = 2

These ratios are all the same (they are "common"), so the sequence is geometric.

The general term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

Filling in the values for this sequence, we find the general term to be ...

  an = 2·2^(n-1)

10^5 = 100,000

5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000

Answer:

10^5 = 100,000

5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000

Answer: 512,000

Step-by-step explanation:

Answer:

q-0

p-3

Step-by-step explanation:

there are two ways to solve elimination or substitution method I'll use the latter

so take the second equation and find an expression equal to p

p-2q=3

p=2q+3

substitute the above expression in the first equation

(2q+3)1+2q=3

open brackets

2q+3+2q=3

collect like terms

4q+3=3

solve

4q=0

q=0

substitute q in any equation you want I'll choose the second

p-(2×0)=3

p-0=3

p=3

Answer:

p = 3 ; q = 0

Step-by-step explanation:

In this linear pair of eqn. in 2 variables , they have a unique solution i.e. they will have only single solution . We know that

[tex]p + 2q=3[/tex] & also [tex]p -2q=3[/tex] . So, we can also equate them as :-

[tex]p + 2q = p-2q[/tex] (∵ Both the eqn. have 3 in their right hand side product )

Solving the eqn. gives,

[tex]=> 2q + 2q = p-p\\=> 4q=0\\=>q=0[/tex]

Putting the value of q in any one of the linear eqn gives ,

[tex]p+2q=3\\=> p+2(0)=3\\=>p+0=3\\=>p=3[/tex]

Answer:

a = 29

b = 64

c = 87

Step-by-step explanation:

Let the angles be a (smallest), b, and c (largest).

We know that a triangle's angles must add up to 180 degrees, so we can construct the following equations.

a + b + c = 180

c = 3a

b = a +35

With some solving and substitution...

a + (a + 35) + c = 180

2a + c = 145

2a + (3a) = 145

5a = 145

a = 29

and therefore,

b = 29 + 35 = 64

c = 3(29) = 87

Answer:

Let smallest angle be :x

So, the largest angle will be:3x

And the other angle will be :x+35

According to angle sum property of triangle,

x+3x+x+35=180

5x+35=180

5x=180-35

5x=145

x=(145/5)

Therefore, x=29

So, the smallest angle =x=29

The largest angle=3x=87

And the other angle=x+35=64

Answer:

[tex]63 \ cm^2[/tex]

Step-by-step explanation:

The area of a triangle is found using the following formula:

[tex]A = \frac{base * height}{2}[/tex]

The base of our triangle is 21 cm.

The height of our triangle is 6 cm.

[tex]A= \frac{6*21}{2} =3 * 21 = 63[/tex]

Our distance unit is cm, so our area will be in cm squared.

Answer: [tex]63 \ cm^2[/tex]

Answer:

63

Step-by-step explanation:

21 times 6, then divide by 2.

Answer:

The Answer Is C

Answer:

Step-by-step explanation:

They are not like terms, so they can't be added up.

Answer:

.A -42+(-17)

Step-by-step explanation:

Well, does she earn this interest per month?? or is it per year.

4% of $1000 is $40 dollars

so it would take her 2 years (If this 4% is due every year. if not just change the "year" to months) to reach 80 dollars. She just needs 20 dollars which is half of the 40 she earns per year. half of a year is 6 months so the answer would be

Sonja would need to keep her 1000 dollars in the savings account for 2 and a half years to earn 100 dollars exact.

HOPE THIS HELPED. IF YOU HAVE ANY FURTHER QUESTIONS GO AHEAD AND PIT THEM IN THE COMMENT AND ILL BE SURE TO LOOK OVER THEM. DONT FORGET TO PUT THIS AS THE BRAINLIEST ANSWER AND ADD A 5 STAR AND A HEART FOR SUPPORT. THANK YOUUU!!

Answer:

4x(3x+1)

Step-by-step explanation:

Factor 4x from the expression

Step-by-step explanation:

800,000 + 30,000 + 9,000 + 200 + 8

Answer:

x = 15/2 or x = 7.5

Step-by-step explanation:

Step 1: Write equation

3(x + 4) = 7x - 18

Step 2: Solve for x

Distribute 3: 3x + 12 = 7x - 18

Subtract 3x on both sides: 12 = 4x - 18

Add 18 on both sides: 30 = 4x

Divide both sides by 4: x = 15/2 or x = 7.5

Answer:

(2/3)⁴, (4/9)² apply to 16/81

Step-by-step explanation:

16/81

8 * 2/27 * 3

4 * 2 * 2/9 * 3 * 3

2 * 2 * 2 * 2/3 * 3 * 3 * 3

Answer: 3x-3 apex

Step-by-step explanation:

Wouldnt the answer be anything above 12? Because if Y is unknown, and you're taking 2 away from it, and it still has to be greater than 10, then it should be anything above 12. Unless it's saying that the number is greater than 10, and you are just taking away 2 from a number and it doesn't have to be greater than 10.

Answer:

D) -5

Step-by-step explanation:

When two numbers have different sign, subtract and the answer will have the sign of the bigger number.

Here the sign of bigger number is negative. So, (-5)

Answer:

vol. = 414.7 in³

Step-by-step explanation:

given:

A cone has a radius of 6 inches and a height of 11 inches.

find:

What is the volume of the cone?

volume of a cone = ¹/₃ π r² h

where r = 6 in.

h = 11 in

plugin values into the formula:

vol. = ¹/₃ π (6)² 11

vol. = 414.7 in³

414.48 inches³

Volume formula

V = Ab×h/3

Ab = πr²

V = πr²×h/3

= 3.14(6in)²×11in/3

= 3.14×36in²×11in/3

= 1243.44in³/3

= 414.48 inches³

Answer: 2

Step-by-step explanation:

Answer:

The answer is 2

Step-by-step explanation:

Don't forget to thank and vote

2$ each notebook

First you find how much you spent. You spent 4$ then divide it in half. That is how you get the answer.

Answer:

4.425*10⁵

Step-by-step explanation:

442500 = 4.425 * 10 ⁵