how to find area of a rectangular shape

Answer:

x=4 , y=1

Step-by-step explanation:

y = 2x-7

y = -x +5

Set them equal to each  other

2x-7 = -x+5

add x to each side

2x+x-7 = -x+x+5

3x-7 = 5

Add 7 to each side

3x-7+7 = 5+7

3x = 12

Divide by 3

3x/3 = 12/3

x=4

Now find y

y = -x+5

y = -4 +5

y = 1

I hope this helps you

Answer:

The solution of the system is: A

Step-by-step explanation:

[tex]\left \{ {{12x-9y=30} \atop {6x+15y=54}} \right. \\\left \{ {{x=\frac{30+9y}{12} } \atop {6x+15y=54}} \right. \\\left\{ {{x=\frac{30+9y}{12}} \atop {6*\frac{30+9y}{12}+15y=54}} \right. \left \{ {{x=\frac{30+9y}{12}} \atop {15+\frac{9}{2}y+15y=54 }} \right. \\\left \{ {{x=\frac{30+9y }{12}} \atop {y(\frac{9}{2}+15) )= 39}} \right. \\\left \{ {{x=4} \atop {y=2}} \right.[/tex]

Answer:

Step-by-step explanation:

Assuming the price of 1 pizza is $x. Total number of pizzas is 3.

Considering the first deal,

10% off your pizza is 10/100 × x = 0.1x. The amount that you will pay is x - 0.1x = 0.9x

The cost of the remaining two pizzas is 2 × x = 2x

The total amount to be paid is

2x + 0.9x = $2.9x

Considering the second deal, 30% off the bill would be

30/100 × 3x = 0.9x

The amount to be paid is

3x - 0.9x = $2.1x

Therefore, I prefer the second deal

Answer:

Step-by-step explanation:160

Answer:

h<-13/3

Steps:

Move variable to the left side and change its sign

h-4h-8>5

Move constant to right and change its sign

h-4h>5+8

Collect like terms

-3h>5+8

Add the numbers

-3h>13

Divide both sides of the inequality by -3 and flip the inequality sign

h<-13/3

Answer:

it should be $6.30

Step-by-step explanation:

i put it in 2 different ways:

42x.15 and 42x15% both gave me 6.3

Where is the picture at?

Side CD has a length of 11.67

Answer:

d=12

Step-by-step explanation:

7d-28=56

Add 28 to both sides

7d=84

Divide both sides by 7

d=12

Cha Cha Real Smooth indeed! :3

Answer:

d=12

Step-by-step explanation:

first step is to add 28 to both sides and get 7d=84

then divide 84 by 7

d=12

good luck :D

Answer:

B. 796 sq ft

Step-by-step explanation:

All of these shapes are rectangles.

The formula for the area of a triangle is length x width.

Dining Room

26 x 14 = 364

Bedroom

14 x 8 = 112

Enclosed Porch

20 x 16 = 320

Then you add all of the products.

364 + 112 = 476

476 + 320 = 796

Answer:

Area of rectangle, [tex]A=\dfrac{99}{8}\ \text{inch}^2[/tex]

Step-by-step explanation:

We have,

A rectangle that measures [tex]4\dfrac{1}{2}\times 2\dfrac{3}{4}[/tex].

It is required to find the area of the rectangle

The product of length and breadth of a rectangle is called its area. It can be calculated as :

[tex]A=4\dfrac{1}{2}\times 2\dfrac{3}{4}\\\\A=\dfrac{9}{2}\times \dfrac{11}{4}\\\\A=\dfrac{99}{8}\ \text{inch}^2[/tex]

So, the area of the rectangle is [tex]\dfrac{99}{8}\ \text{inch}^2[/tex].

Answer:

g(x) = a(x-5) ( x-6)

Step-by-step explanation:

A function g(x) has x-intercepts at (5,0) and (6, 0)

g(x) = a(x-5) ( x-6)

If you mistyped and the x intercepts are at 2 and 6

g(x) = 2(x-2)(x-6)

Answer:

10584 inches of paper

Step-by-step explanation:

to find the surface area of a cone the formula you use is A= πr(r+h2+r2)  *you need to divide 16 by two to find the radius 16 is the diameter*

and this subsituted is π8(8+9(2)+8(2)) and this equals 504 inches and you then multiply by 21 to get enough paper to cover all 21 cones and that equals 10584 inches

Answer:

h_max = 12.56 units

(the exercise does no specify the units)

Step-by-step explanation:

You have the following function:

[tex]h(t)=-16t^2+6t+12[/tex]    (1)

To calculate the maximum height reach by you, you first derivative the function h(t) respect to t:

[tex]\frac{dh(t)}{dt}=-32t+6[/tex]

Next, you equal the result of the derivative to zero and you obtain t:

[tex]-32t+6=0\\\\t=\frac{6}{32}=\frac{3}{16}[/tex]

Then, you replace this value of t in the equation (1) and you obtain the maximum height:

[tex]h(t)=-16(\frac{3}{16})^2+6(\frac{3}{16})+12[/tex]

[tex]h(t)=12.56[/tex]

hence, the maximum height is 12.56 units

Answer:

6 is the the distance between the points

The required distance between coordinates (-3, 4) and (-3, 10) is 6 units.

Given that,
The distance between the coordinates (-3, 4) and (-3, 10) is to be determined.

Coordinate, is represented as the values on x - axis and y - axis of the graph. where the values of the x-coordinate are called abscissa and the values of y coordinate are called ordinate.

Let the distance between two points be C.
Tio determined the distance between two points [tex](x_1, y_1)[/tex] and ([tex]x_2,y_2[/tex]) is given by the distance formula
C = √(x_1-x_2)^2(y_1-y_2)^2}

Putting the given coordinate in the above formula.

C = (-3+3)^2+(4 -10)^2}
C = {(0)^2+(6)^2}
C = √36
C = 6

The required distance between points is 6 units.

Thus, the required distance between coordinates (-3, 4) and (-3, 10) is 6 units.

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Answer:

A: 2 acute and 1 right

Step-by-step explanation:

A triangle is a polygon that has 3 sides as well as three angles

Triangles can be can be classified based on their three sides as well as their three angles.

Based on their sides, we have 3 types of triangles.

1. Equilateral triangle: This means they have 3 equal sides.

2. Isoceles triangle: They have only 2 equal sides.

3. Scalene triangle: The 3 sides are not equal

Based on their angles, we have 3 triangles.

a. Acute triangle

b. Obtuse triangle

c. Right angle triangle.

One of the way by which we can form a triangle, is by forming it with 2 acute angles and 1 right angle.

Answer:

The correct option is;

A: 2 acute and 1 right

Step-by-step explanation:

Here we have the definitions of the angles as follows;

The sum of angles in a triangle = 180°

An acute angle is an angle less than 90°

An obtuse angle is an angle more 90 ° but less 180°

A right angle triangle is an angle equal to 90°

∴ A right angle triangle is an angle = 90°

Therefore, we compare each of the options

A: 2 acute and 1 right = <90 +<90 +90 < 180 =180 or >180 Possible

B: 1 acute and 2 obtuse = 1<90 + > 90 +>90 > 180°

C: 1 acute and 2 right = <90 + 90 + 90 > 180

D: 1 acute + 1 right + 1 obtuse = <90 + 90 + >90 > 180

Therefore, the only possible correct option is A.

Answer:

Henry is short of gravel

Step-by-step explanation:

Here, we are to identify which of the ingredients Henry is short of.

To identify this ingredient, what is needed to be done is to share the 180kg of concrete appropriately to get which of the material does not meet its ratio and thus allowing us know which is insufficient.

The total ratio is 1 + 4 + 7 = 12

For cement, we have ;

1/12 * 180 = 15 kg

For sand, we have

4/12 * 180 = 60kg

For gravel, we have

7/12 * 180 = 105 kg

From the values in the question, we can see that all the values we have are greater what is shared in the ratio except in the case of gravel. So we can confidently say he is short of gravel

Answer:

4096

Step-by-step explanation:

You multiply 32 in. by 8 in. by 8 in.

Answer:

4096

Step-by-step explanation:

to find volume you can just multiply length, width, and height together :) Hope this helps!!! ❤

Answer:

5*7=35 square units

Step-by-step explanation:

area of parrelogram =B×h

plzz mark me brainliest

Answer:

26√3

Step-by-step explanation:

4√3+11√12

We know that sqrt(ab) = sqrt(a) sqrt(b)

4√3+11[tex]\sqrt{4} \sqrt{3}[/tex]

4√3+11*[tex]2 \sqrt{3}[/tex]

4√3+22 [tex]\sqrt{3}[/tex]

Combine like terms

26√3

Answer:

[tex]26\sqrt{3}[/tex]

Step-by-step explanation:

Simplify them:

[tex]11\sqrt{12} = 22\sqrt{3}[/tex]

[tex]22\sqrt{3}+4\sqrt{3}=26\sqrt{3}[/tex]

Answer:

C. 48 [tex]ft^2[/tex]

Step-by-step explanation:

The formula for finding the area of a triangle is:

[tex]\frac{1}{2}bh[/tex]

The "[tex]b[/tex]," is the base (10), and the "[tex]h[/tex]," is the height (9.6), so plug it in:

[tex]\frac{1}{2} (10)(9.6)\\[/tex]

[tex]\frac{1}{2} (96)[/tex]

48 [tex]ft^2[/tex]

Answer:

Amy now has 7 crayons.

Step-by-step explanation:

2 crayons + 5 crayons = 7 crayons.

Answer:

Amy has 7 crayons now

Step-by-step explanation:

2+5=7

Answer:

B

Step-by-step explanation:

the mean goes up more than the median

Answer:

5 units

Since they both have the same y value, just subtract the a value's x from the b's x value

Answer:

C equals 64

Step-by-step explanation:

To find the missing value you have to take B divide it by two and then square it. So 16/2 ----> 8 ----->  8 squared =64. Hope this helped

Answer:

1099 inches

Step-by-step explanation:

We know that formula for volume of a cylinder is:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi 5^2*14[/tex]

[tex]V=\pi 25*14[/tex]

[tex]V=\pi 350[/tex]

[tex]V=3.14*350[/tex]

[tex]V=1099[/tex]

Answer:

1099

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

hope it right not the best with counting

Answer:

10.8 cm

Step-by-step explanation:

Using cosine law

g² = 7.1² + 6.7² - 2(7.1)(6.7)cos(103)

g² = 116.7018433

g = 10.80286274

Answer:

10.8

Step-by-step explanation:

deltamath

Answer:

the answer is not b

Step-by-step explanation:

The random sampling used is stratified random sampling

The most accurate type of probability sampling is random sampling. Each person in a population has an equal probability of getting selected for the sample thanks to this method of sampling.

This kind of sampling is perfect for highly controlled investigations where it is unacceptable to have human bias in the selection of the sample.

Each sampling unit in a population has an equal probability of being included in the sample when using simple random sampling (SRS). As a result, each potential sample has an equal probability of being chosen.

Given data ,

Mark used a stratified random sampling method by dividing the list of students into boys and girls and drawing from each group in proportion to their numbers in the population. This method helps ensure that the sample is representative of the population in terms of gender.

Hence , the sample is likely to represent the population. Answer: C. Yes, stratified random sampling.

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