write the augmented matrix for each system of equations. 10x=10 -5x-8y=9​

Answer:

38 in²

Step-by-step explanation:

The area (A) of a trapezium is calculated using the formula

A = [tex]\frac{1}{2}[/tex] h (a + b)

where a, b are the parallel bases and h the perpendicular height

here a = 12, b = 7 and h = 4, hence

A = 0.5 × 4 × (12 + 7) = 2 × 19 = 38 in²

Answer:

38 in²

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8 x 4 = 32

8 x 6 = 48

8 x 9 = 72

Answer:

The other side is 6 units long.

Step-by-step explanation:

Area of a Triangle = (1/2)(Base)(Height)

18 = (1/2)(6)(x)

Note that x is the other side of the triangle.

18 = 3x

x = 6

The other side is 6 units long.

Answer:

13 square units.

Step-by-step explanation:

We can find the area of the parallelogram using the formula:

[tex]Area=2\times \frac{1}{2}[|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|][/tex]

where [tex]A(x_1,y_1)[/tex], [tex]B(x_2,y_2)[/tex]. and [tex]C(x_3,y_3)[/tex] are the vertices of one of the triangles created by the diagonals.

[tex]Area=[|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|][/tex]

We use A(5, 3), B(8, 4), C(7, 8) to obtain:

[tex]Area=[|5(4-8)+8(8-3)+7(3-4)|][/tex]

[tex]Area=[|-20+40-7|][/tex]

[tex]Area=|13|=13[/tex]

The area of the parallelogram is 13 square units.

Answer:

694.44 sheets of paper

Step-by-step explanation:

we know that

The height of terry’s trays is [tex]h=2\frac{1}{2}\ in=\frac{2*2+1}{2}=\frac{5}{2}\ in[/tex]

using proportion

2,500/9=x/(5/2)

x=2,500*(5/2)/9

x=694.44 sheets of paper

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} r=7.6 \end{cases}\implies A=\pi 7.6^2\\\\\\ A=57.76\pi \implies A\approx 181.46[/tex]

Answer: OPTION C

181.3664 square centimeters

Step-by-step explanation:

Answer:

4XY-34

Step-by-step explanation:

1. x*y=xy

2.xy*4=4xy

3. 4xy-34

Answer:

9.36cm

Step-by-step explanation:

We can add up all the sides to find the perimeter.

[tex]x+2x+2x=5x[/tex]

So the perimeter, 46.8, is equivalent to 5x.

Solve.

[tex]5x=46.8 \\ \\ x=9.36[/tex]

So [tex]x[/tex] is 9.36.

Since the base is [tex]1x[/tex], the base is 9.36cm.

We can plug back in to check our answers.

[tex]2x=18.72\\9.36+18.72+18.72 = 46.8[/tex]

The answer is 9.36cm hope u do well :)

ANSWER

6.4 hours

EXPLANATION

if it takes 10 hours to get 50%, then it will take less number of hours to get 32%

We use proportion to solve this question.

If less more divides.

The number of hours it will take to get 32% is

[tex] = \frac{32\% \times 10}{50\%} [/tex]

[tex] = 6.4[/tex]

Hence it will take 6.4 hours to get 32%

Answer:

The answer is B

Step-by-step explanation:

In the decimal (base ten) system, the value of the digits is based on the number ten. Each position in a decimal number has a value that is a power of 10.

Answer is B

The last digit (1) is on the thousandths place value

Answer:

24 ft up the wall

Step-by-step explanation:

We can use the Pythagorean theorem to solve, letting the 25 ft ladder be the hypotenuse

a^2 +b^2 = c^2

7^2 +b^2 = 25^2

49 + b^2 = 625

Subtract 49 from each side

49-49 +b^2 = 625-49

b^2 = 576

Take the square root of each side

sqrt(b^2) = sqrt(576)

b = 24

We only take the positive solution since length cannot be negative

The ladder will reach 24 ft up the wall

ANSWER

{1, 4, 9, 16, 25, 36, 49, 64}

EXPLANATION

The perfect square integers between 1 and 80 inclusive are obtained by squaring the natural numbers from 1 to 8

[tex] {1}^{2} = 1[/tex]

[tex] {2}^{2} = 4[/tex]

[tex] {3}^{2} = 9[/tex]

[tex] {4}^{2} = 16[/tex]

[tex] {5}^{2} = 25[/tex]

[tex] {6}^{2} = 36[/tex]

[tex] {7}^{2} = 49[/tex]

[tex] {8}^{2} = 64[/tex]

The square of the next number does not fall within the given range.

Therefore "The perfect square integers between 1 and 80 inclusive" are

{1, 4, 9, 16, 25, 36, 49, 64}

(1,9,16,25,36,49,64)Answer:

Step-by-step explanation:

Answer:

Length of arc AB is 14. So, option E is correct

Step-by-step explanation:

Circumference of circle == 56 cm

We need to find length of arc AB?

Formula used will be l = rФ

We know, C = 2πr

56 = 2πr

56/2π = r

=> r = 8.91

Ф = 90° = 1.57 radians

So, l= rФ

l = 8.91 * 1.57

l = 13.98 = 14

So, Option E is correct

Answer:

Length of arc AB is 14. So, option E is correct

Step-by-step explanation:

Answer:

2/9 of a chance

Step-by-step explanation:

If she only spun the spinner twice and had to land on a 2 and a 3 in order to get a sum or 5.  The possible results of the spinners would be

1 & 1          2 & 1          3 & 1

1 & 2          2 & 2         3 & 2

1 & 3         2 & 3         3 & 3

only two of those possibilities equal 5.  So it would be 2/9 of a chance.

The answer is 0! The input value would be 0!

the function rule is to add 6, so:

y = x + 6        (y is the output, x is the input)

Since they gave you an output value of 6, you can plug it into the equation

y = x + 6          Plug in 6 for y

6 = x + 6    Subtract 6 on both sides to find the input value

0 = x

Answer: The slope is -1

Step-by-step explanation:

The slope of the line in Slope-intercept form is:

[tex]y=mx+b[/tex]

Where "m" is the slope of the line and "b" is the y-intercept.

You can observe that the equation of the line [tex]y= -x + 8[/tex] is written in Slope-intercept form. Therefore, you can identify that the slope of the line described by this equation is:

[tex]m=-1[/tex]

And the y-intercept is:

[tex]b=8[/tex]

Answer:

x=-3 10/16

Step-by-step explanation:

5x-9-21x-42=25 (opening parenthesis)

-16x-33=25

16x+58=0

x=-58/16=-3 10/16

Answer:

164 and 16

Step-by-step explanation:

Answer:

48in

Step-by-step explanation:

We know that the photograph is

Width photo = 5in

Lenght photo = 7in

The length and width of the frame are 2x inches larger than the width and frame of the photograph so:

Width frame = 5in x 2 = 10 in

Lenght frame = 7in x 2 = 14 in

The perimeter is the distance around a two-dimensional shape. Then, the perimeter of the frame is:

Perimeter = 10 in + 14 in + 10 in + 14 in = 48in

Answer:

$55.24

Step-by-step explanation:

Add $32.78 + $27.24 + $5.22

= 65.24

Subtract 10

= $55.24

Answer:

55.24

Step-by-step explanation:

Shoes                            32.78

Dress                             27.24

Shipping                         5.22

Total                               65.24

Less Gift Certificate      10.00

Her Payment                  55.24

-51

First, find the axis of symmetry, or the x value where the line switches directions. This is also the x value of the vertex. Find this by using the equation -b/2a. In this case, -10 is b, and 1 is a.

-(-10)/2(1)

10/2

5

So, the x value of the vertex is 5. Now, find the y value by putting the x value back into the equation.

y = -(5)^2 - 10(5) + 24

y = -25 - 50 + 24

y = -75 + 24

y = -51

So, the y value of the vertex is -51.

16 2/3 - 9 1/3=7 1/3 or 22/3

Or

50/3 - 28/3= 22/3 or 7 1/3

The result of the given mixed fraction subtraction 16 2/3 - 9 1/3 is 22/3 or 7 1/3.  

Given equation of mixed fraction is 16 2/3 - 9 1/3

Thus, we have

= 16 2/3 - 9 1/3

= 50/3 - 28/3

= 22/3

Thus, the result of the given mixed fraction subtraction 16 2/3 - 9 1/3 is 22/3 or 7 1/3.

To learn more about mixed fraction, refer -

https://brainly.com/question/875401

#SPJ2

Answer:

raul donated more money than mike did is

Step-by-step explanation:

raul donated 1/10 of 60 so

1/10*60=6

mike donated 1/10 of 30 so

1/10*30=3

so raul donated more money than mike did is the correct statement

Answer: B.

Step-by-step explanation:

So it's B because...

So if they donated 1/10th of their money, that means they donated 10%. So, 10% of 60 is 6 and 10% of 30 is 3. which means that Raul donated more money than Mike did.

10 % of 60 = 6

10% of 30 = 3

ANSWER → B

* Hopefully this helps:) Mark me the brainliest:)!!

∞ 234483279c20∞

Horizontal translation 1 unit to the left

ANSWER

[tex]A = 80.98 \degree[/tex]

EXPLANATION

The angle with the greatest measure corresponds to the longest:

Since we know the three side lengths, we use the cosine rule to obtain;

[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2bc \cos(A) [/tex]

where a=21, b=18 and c=14

[tex] {21}^{2} = {18}^{2} + {14}^{2} - 2 \times 18 \times 14\cos(A) [/tex]

[tex]44 1= 324+ 196 - 504\cos(A) [/tex]

[tex]44 1= 520 - 504\cos(A) [/tex]

[tex]44 1 - 520 = - 504\cos(A) [/tex]

[tex] - 79 = - 504\cos(A) [/tex]

[tex]\cos(A) = 0.1567[/tex]

[tex]A = \cos ^{ - 1} (0.1567) = 80.98 \degree[/tex]

correct to the nearest hundredth.

Answer:

1 and 7/24

Step-by-step explanation:

2/3 + 5/8

= 16/24 + 15/24

= 31/24

= 1 and 7/24

Hope this helps!

For this case we must simplify the following expression:

[tex]\frac {2} {3} + \frac {5} {8}[/tex]

Then, we add the fractions making cross product:

[tex]\frac {2} {3} + \frac {5} {8} = \frac {8 * 2 + 3 * 5} {3 * 8} = \frac {16 + 15} {24} = \frac {31 } {24}[/tex]

Thus, the fraction can not be simplified.

How mixed number we have:

[tex]\frac {31} {24} = 1 \frac {7} {24}[/tex]

ANswer:

[tex]\frac {31} {24}[/tex]

Answer:

157.5

Step-by-step explanation:

346.5 lb = 157.16976 kg

346.5 lbs. = 157.16976 kg

70%

A percentage is the same thing as a fraction with a denominator of 100. To make our current denominator change to 100, we must multiply it by 10. So, we must do the same thing to the numerator. 7 times 10 is 70, and 10 times 10 is 100. This means 7/10 equals 70/100, which is 70%.

Answer:

(C) is 0.14 that is your probability

Step-by-step explanation:

For this case we have that by definition, the volume of a cube is given by:

[tex]V = l ^ 3[/tex]

Where "l" is the length of the side.

We have to:

[tex]l ^ 3 = 300\\l = \sqrt [3] {300}\\l = 6,69432950[/tex]

If we multiply the sides by 7, we will have:

[tex]l '= 6,69432950 * 7\\l '= 46.86030650[/tex]

Then, the new volume will be:

[tex]V '= l' ^ 3\\V '= 102900 \ cm ^ 3[/tex]

Answer:

[tex]102900 \ cm ^ 3[/tex]