US_
Diagram NOT
accurately draw
(x + 1)cm
(3 - x) cm
(2x + 5) cm
The diagram shows a cuboid of volume V cm3
(a) Show that V = 15 + 16x - x (squared) - 2x (cubed)

Answer:

24.5 unit²

Step-by-step explanation:

Area of ∆

= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |

= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |

= ½ | -7 - 42 |

= ½ | - 49 |

= ½ (49)

= 24.5 unit²

Method 2:

Let the vertices are A, B and C. Using distance formula:

AB = √(-1-6)² + (3-3)² = 7

BC = √(-6-1)² + (-4-3)² = 7√2

AC = √(-1-(-1))² + (4-(-3))² = 7

Semi-perimeter = (7+7+7√2)/2

= (14+7√2)/2

Using herons formula:

Area = √s(s - a)(s - b)(s - c)

here,

s = semi-perimeter = (14 + 7√2)/2

s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2

s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2

s - c = (14+7√2)/2 - 7 = (7 + √2)/2

Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²

Answer:

24.5

Step-by-step explanation:

To find the area with the coordinates provided:

(-1,3), (6,3), (-1,-4)

First we count the units that are inside the triangle which is area.

[tex]\frac{49}{2}[/tex]

So we know that there are [tex]\frac{49}{2}[/tex] units and then we divide 49 by 2 which gets you 24.5.

49 ÷ 2 = 24.5

The answer is 24.5 units.

Answer:43

Step-by-step explanation:

Answer:

$12,500

Step-by-step explanation:

I got this answer by first taking the purchase price of the car and multiplying it by .10 to see what ten percent of the price was and I got $2,500. Then I took and multiplied 2,500 by 5 years and go 12,500. Then I subtracted 12,500 from the original purchase price to get $12,500. Meaning that the value of the care has decreased by half of the purchase price.

HOPE THIS HELPS!

Answer:

Red skittles = 4 skittles

Yellow skittles = 12 skittles

Green skittles = 20 skittles

Step-by-step explanation:

A bag of skittles contains only red, yellow, and green colors.

The respective ratios are 1:3:5 for those three colors.

We have

red: yellow: green

1:3:5

The sum of the proportion = 1 + 3+ 5 = 9

If there are a total of 36 skittles in the bag, how many of each skittles red, yellow, and green are in the bag?

Hence,

Number of red skittles is calculated as:

1/9 × 36 skittles

= 4 skittles

Number of yellow skittles is calculated as:

3/9 × 36 skittles

= 12 skittles

Number of green skittles is calculated as:

5/9 × 36 skittles

= 20 skittles

Therefore, the number of

Red skittles = 4 skittles

Yellow skittles = 12 skittles

Green skittles = 20 skittles

Answer:

The second and third one

Step-by-step explanation:

According to the statement, numbers between 4 and 5 is 4.1 - 4.9

But it is doubled so it is 8.2 - 9.8

These numbers are greater than 8 and less than 9

These numbers are also greater than 9 and less than 10

Answer:

82

Step-by-step explanation:

Sides AB and BC are equal, which means angle BAC and BCA have the same measure, as stated in the base angles theorem. Angle BAC is 49 degrees, so angle BCA must also be 49 degrees. The sum of all angles in a triangle is 180 degrees, so angles BAC, BCA, and CBA will add up to 180. Write this in an equation:

BAC+BCA+CBA=180

BAC and BCA both measure 49 degrees:

49+49+CBA=180

Solve for CBA

CBA=180-49-49

CBA=82

lmk if i made any errors, hope this helps :)

Answer:

- 3.4(21) = - 71.4

(- 2.3)(- 7.9) = 18.17

9.24 ÷ - 7 = -1.32

(- 8.5) ÷ (- 3.4) = 2.5

- 6.85 ÷ 0.5 = - 13.7

The figure that shows a reflection of pre-image ABC over the y-axis is the third figure.

From the complete information, the triangle ABC is reflected over the y axis.

The vertices of the triangle are A(1, 1), B(3, 4) and C(3, 1). The vertices of the images are A(1, 1) = A'(-1, 1). B(3, 4) = B(-3, 4) ans C(3, 1) = C'(-3, 1).

In conclusion, the figure that shows a reflection of pre-image ABC over the y-axis is the third figure.

Learn more about reflection on:

https://brainly.com/question/3643476

Answer:

x=29

Step-by-step explanation:

3x+15+2x+20=180

3x+2x+15+20=180

5x+35=180

5x=180-35

5x=145

x=145/5

x=29

Answer:

Step-by-step explanation:

Each part is equal to 65/(1+4)=$13

Since Stephanie only got 1 part, she got $13.

Answer:

13/25

Step-by-step explanation:

if you put it in decimal the fraction is greater

Answer:

13/25 is larger then 50%

Step-by-step explanation:

13/25=52%

50%=12.5/25

Answer:C

Step-by-step explanation:

i took it on edge2021

Answer:

The answer is C.

O Both equations have the same potential solutions, but equation A might have extraneous solutions

Step-by-step explanation:

I just took the quiz on edge.

Answer:

point estimate: .73

margin of error: .02

Step-by-step explanation:

correct on edg

Answer:

No

Step-by-step explanation:

Solutions to systems of equations are points at which the lines of the equations intersect. Knowing this, only equations representing the same line would have infinitely many solutions because they would intersect at every one of each other's points - they're the exact same line. Therefore, if they are not the same line, they would not intersect at each and every point, and would not have infinitely many solutions.  

Answer:

it will take 4 months

Step-by-step explanation:

Answer:

Ecuación estándar de un círculo

(x−2)2+(y−2)2=25

Forma general de la ecuación de un círculo

x2−4x+y2−4y−17=0

Ecuaciones paramétricas de un círculo

x=5cosθ+2y=5sinθ+2

Step-by-step explanation:

Ecuación Estándar de un Círculo

La ecuación estándar de un círculo con el centro en (x_0, y_0) y radio r es

(x^2-x_0) + (y^2-y_0)=r^2

Ecuaciones Paramétricas de un Círculo

Las ecuaciones paramétricas de un círculo con el centro en (x_0, y_0) y radio r son

x=r cos \theta + x_0\\y=r sin \theta + y_0

Ecuación General de un Círculo

La ecuación general de un círculo con el centro en (x_0, y_0) y radio r es

x^2+ax+y^2+by+c=0,

donde

a=-2x_0\\b=-2y_0\\c=x^2_0+y^2_0-r^2

Answer: 14 pages a day

Step-by-step explanation:

98 / 7 = 14

Answer: 14 pages read per day.

Step-by-step explanation:

98/7= 14

Hope this helps!

Answer:

Apply the distributive property.

4

w

+

4

⋅

−

2

−

2

(

2

w

+

7

)

Multiply

4

by

−

2

.

4

w

−

8

−

2

(

2

w

+

7

)

Apply the distributive property.

4

w

−

8

−

2

(

2

w

)

−

2

⋅

7

Multiply

2

by

−

2

.

4

w

−

8

−

4

w

−

2

⋅

7

Multiply

−

2

by

7

.

4

w

−

8

−

4

w

−

14

Step-by-step explanation:

Here you go!!

Answer:

2W + 10

Step-by-step explanation:

Eliminate redundant parentheses

(4w +3) - 2w + 7

4w + 3 - 3w + 7

add the numbers

4w + 3 - 2w + 7

4w + 10- 2w

Combine like terms

4w + 10 - 2w

2w + 10

solution

2w + 10

Answer:

i think its c

Step-by-step explanation:

its not a or b

Answer:

C. cubic

Step-by-step explanation:

Correct on Edge 2021!!!

Answer:

V=128

Step-by-step explanation:

Answer:

V =128ft^3

Step-by-step explanation:

V=lwh=4*4*8=128

Answer:

24 is the answers for the question

Answer:

the answer is 24 ........

Answer:

What function should you choose if you want to make a copy of a digital image file to back it up? Save Copy Save As All of the above Question 7(Multiple Choice Worth 2

Step-by-step explanation:

Answer:

213 Answer ..............

Answer:

√{213×213}=√213²=±213 is your answer

Answer:

[tex]2^x-4=32\quad :\quad x=\frac{2\ln \left(6\right)}{\ln \left(2\right)}\quad \left(\mathrm{Decimal}:\quad x=5.16992\dots \right)\\\\2^x-4=32 \\\mathrm{Add\:}4\mathrm{\:to\:both\:sides}\\2^x-4+4=32+4\\\mathrm{Simplify}\\2^x=36\\\\apply exponential rule\\x\ln \left(2\right)=\ln \left(36\right)\\x\ln \left(2\right)=\ln \left(36\right)\\x=\frac{2\ln \left(6\right)}{\ln \left(2\right)}[/tex]

hope it helps:)

Answer:

31.7 degrees (A)

Step-by-step explanation:

90 degrees (the whole angle) - 58.3 degrees = 31.7 degrees

the angles are complementary

they add up to 90 degrees

brainliest plz

Answer:

31.7

Step-by-step explanation:

pls mark brainliest

58.3 + 31.7 is 90

Answer:

The mean of the data set is 9.3 rounded to the nearest tenth

Step-by-step explanation:

First you add them all together: 9.9 + 10.8 + 10.8 + 6.2 + 10.8 + 7.2 = 55.7

Then you divide it by how many numbers there are which is 6 in this situation:

55.7 ÷ 6 = 9.28333333333. but if we round it to the nearest tenth we get 9.3

So the answer is 9.3

Answer:

8.93h in³

Step-by-step explanation:

The circumference of the base of the cone is 8.5pi inches. What is the volume of the cone in terms of ne? Round to the nearest hundredth. Enter

Step 1

We find the radius of the cone

Base area = 8.5 π inches

Radius = √Area/π

Radius = √8.5 π /π

Radius = √8.5

Radius of the cone = 2.9154759474 inches

Approximately = 2.92 inches

Step 2

We find the volume of the cone

= πr²h/3

Height is not given, so we find in terms of h

= π × 2.92² × h/3

= 8.9288252005h in³

Approximately = 8.93h in³

The