Use a protractor to draw a quadrilateral so that three of its four sides measure 7 centimeters each. The angles between these sides have measures of 85° and 120°. What is the length of the fourth side? 7. 5 cm 8. 6 cm 9. 8 cm 10. 1 cm.

Answer:

In explanation.

Step-by-step explanation:

1. 5 x 2 =10

5 x 1=5

5 x 2=10

5 x 3=15

5 x 4=20

5 x 6=30

5 x  7=35

5 x 8=40

5 x 9=45

5 x 10=50 and since  5 x 10 is 50 and were looking for 100 a easy way to do that is 50 x 10 which=500 or another easy way is.

100 x 1=100

100 x 2=200

100 x 3=300

100 x 4=400

100 x 5=500

Hope this helps have a great day:)

Step-by-step explanation:

5x2=10

5x6=30

5x4=20

5x4=20

5x100=500

Answer:

Mr. Crow dimension of the lawn = 85 × 40

Area of the lawn = 3250 square feet

Step-by-step explanation:

Let x represents the width of the rectangle,

Then According to the question,

The length of the rectangle = 2 x + 5

Also it is given that the perimeter of the rectangle = 250 feet.

But we know that the perimeter of the rectangle = 2 × ( length + width)

Thus, the perimeter of the rectangle = 2( 2x+5+x) = 2(3x+5) = 6x+10

If x = 30,  the perimeter of the rectangle = 6 × 30 + 10 = 190 < 250

Thus, x ≠ 10.

If x = 50,  the perimeter of the rectangle = 6 × 50 + 10 = 310 > 250

Thus, x ≠ 50

If x  = 40, the  the perimeter of the rectangle = 6 × 40 + 10 = 250 = 250

Thus, x = 40

Therefore, the width of the rectangle, x  = 40 feet.

And, the length of the rectangle, 2 x + 5 = 2 × 40 + 5 = 85 feet.

1) The dimension of the rectangle = 85 × 40

2)The area of the rectangle = length × width = 85 × 40  = 3250 square feet.Let x represents the width of the rectangle,

Then According to the question,

The length of the rectangle = 2 x + 5

Also it is given that the perimeter of the rectangle = 250 feet.

But we know that the perimeter of the rectangle = 2 × ( length + width)

Thus, the perimeter of the rectangle = 2( 2x+5+x) = 2(3x+5) = 6x+10

If x = 30,  the perimeter of the rectangle = 6 × 30 + 10 = 190 < 250

Thus, x ≠ 10.

If x = 50,  the perimeter of the rectangle = 6 × 50 + 10 = 310 > 250

Thus, x ≠ 50

If x  = 40, the  the perimeter of the rectangle = 6 × 40 + 10 = 250 = 250

Thus, x = 40

Therefore, the width of the rectangle, x  = 40 feet.

And, the length of the rectangle, 2 x + 5 = 2 × 40 + 5 = 85 feet.

1) The dimension of the rectangle = 85 × 40

2)The area of the rectangle = length × width = 85 × 40  = 3250 square feet.

Answer:

f(1) = 16

Step-by-step explanation:

f(1) = [tex]3(1)^{2} -2(1)^{2} -3(1)+18[/tex]

f(1) = [tex]3-2-3+18[/tex]

f(1) = 16

Answer:

well it's exponential so b. b=×2 or everytime x goes up by 1 y is multiplied by2

Answer:

15 R7

Step-by-step explanation:

      015

32/ 487

      0

      48

      32

      167

      160

remainder 7

(a) Volume of any Pyramid =   [tex]\frac{1}{3} * (Base-Area)*height = \frac{1}{3} *220.22*9 = 660.66[/tex] cubic units

(b) Sarah doesn't have to go through all the hard work as the smaller pyramid has a ratio of 2:3 to the bigger pyramid, so we get the equation, to help us solve it.

[tex]660.66 = \frac{2}{3} *(Area-of-larger-pyramid)[/tex]

Hope that helps!

Step-by-step explanation:

(a) To calculate the volume of a pyramid, you can use the formula: V = (1/3) * B * h, where V is the volume, B is the area of the base, and h is the height of the pyramid.

In this case, Sarah has the area of the base (B) as 220.22 square units and the height (h) as 9 units. Let's substitute these values into the formula:

V = (1/3) * 220.22 * 9

V ≈ 660.66 square units

Therefore, the volume of the smaller pyramid is approximately 660.66 cubic units.

(b) No, Sarah doesn't need to go through the hard work again to find the volume of the larger pyramid. Since the two pyramids are similar, the ratio of their volumes will be equal to the cube of the ratio of their corresponding sides.

The scale factor of the smaller pyramid compared to the larger pyramid is 2:3. Since the scale factor is determined by the corresponding sides, it applies to both the base length and the height of the pyramid. Therefore, the volume of the smaller pyramid compared to the larger pyramid is (2/3)^3 = 8/27.

In other words, the volume of the smaller pyramid is 8/27 times the volume of the larger pyramid. So if Sarah already knows the volume of the smaller pyramid, she can simply multiply it by 27/8 to find the volume of the larger pyramid.

(c) To calculate the volume of the larger pyramid, we can use the ratio mentioned above:

Volume of the larger pyramid = (Volume of the smaller pyramid) * (27/8)

Volume of the larger pyramid ≈ 660.66 * (27/8)

Volume of the larger pyramid ≈ 2239.99 square units

Therefore, the volume of the larger pyramid for Sarah is approximately 2239.99 cubic units.

Please mark as y

Answer:

7x, or seven times in multiplication

Step-by-step explanation:

Hope it helps

Answer:

A (2.5, 4 )

Step-by-step explanation:

the coordinates of A are the intersection of the 2 lines AB and AC , that is

2x + 3y = 17 → (1)

4x - y = 6 → (2)

multiplying (2) by 3 and adding to (1) will eliminate y

12x - 3y = 18 → (3)

add (1) and (3) term by term to eliminate y

14x + 0 = 35

14x = 35 ( divide both sides by 14 )

x = [tex]\frac{35}{14}[/tex] = 2.5

substitute x = 2.5 into either of the 2 equations and solve for y

substituting into (1)

2(2.5) + 3y = 17

5 + 3y = 17 ( subtract 5 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

solution is (2.5, 4 )

The equation that can be used to find the measure of angle LKJ  is

x = Sin⁻¹ (8.9/10.9).

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

As we know that

sine of an angle = perpendicular/hypotenuse

Sine of ∠LKJ = 8.9/10.9

∠LKJ  = Sin⁻¹ (8.9/10.9)

x = Sin⁻¹ (8.9/10.9)

Therefore, the equation that can be used to find the measure of angle LKJ is x = Sin⁻¹ (8.9/10.9).

to get more about trigonometric ratios visit:

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Answer: I believe it is $20.62

Step-by-step explanation: the student passes+ the food was $845.42 divede that by the 41 students.

Step-by-step explanation:

???

this is completely simple :

4x < 32

x < 8

Answer:

5$ per hour

Step-by-step explanation:

[tex] \frac{22.50}{4.5} = 5[/tex]

Answer:

The answer to this question is 238 mm^2

Step-by-step explanation:

You are correct!!

good luck on the assignment

Answer:

238 cm²

calculate the area of bigger rectangle:

length * width

11 * (5 + 4 + 5 + 4 )

11 * 18

198 cm²

calculate the area of 2 smaller rectangle:

2 ( length * width )

2 ( 5 * 4 )

2 ( 20 )

40 cm²

total area of both:

40 + 198

238 cm²

Answer:

y = 8x

Step-by-step explanation:

See attached image.

Answer:

Complex roots for polynomials equations will always come in conjugate pairs.  Since 1-2i is a root, 1+2i will also be a root.  (Just switch the sign of the imaginary part to its opposite.)

Step-by-step explanation:

So far we have 1-2i and 1+2i as roots.  We need two more to make a 4th degree polynomial.

x=1 with multiplicity of 2 means that we count the root twice when we write down the polynomial: (x - 1)(x - 1) = (x - 1)2

Putting it all together, we can construct our polynomial of degree 4 as

y = f(x) = (x - 1)(x - 1)[x - (1-2i)][x - (1+2i)]

Multiply the factors (FOIL):

[x - (1-2i)][x - (1+2i)] =

x2 - (1+2i)x - (1-2i)x + (1-2i)(1+2i) =

x2 - x - 2ix - x + 2ix + (1 + 2i - 2i + 4) =

x2 - 2x + 5

(x - 1)(x - 1) = x2 - x - x + 1 = x2 - 2x + 1

Now multiply the two underlined expressions:

y = (x2 - 2x + 5)(x2 - 2x + 1)

= x4 - 2x3 + 5x2 - 2x3 + 4x2 - 10x + x2 - 2x + 5  by multiplying term by term

= x4 - 4x3 + 10x2 -12x + 5 by collecting like terms.

Answer: (4, 2)

Step-by-step explanation:

[tex]\left(\frac{-1+9}{2}, \frac{2+2}{2} \right)=\boxed{(4, 2)}[/tex]

Answer:

3/4 x 2/2= 6/8

Step-by-step explanation:

multiply 3/4 x 2/2 to equal = 6/8

Answer:

10 and 9 over 25

hop you will like it

Answer:

x = 20

You do 120 + 3x = 180

It's same-side interior.

Answer:

y-axis :  B) (-4, -3)

y = 1 :     E) (4, 5)

y = x :    C) (-3, 4)

y = -x :   D) (3, -4)

x-axis :  A) (4, 3)

Step-by-step explanation:

y-axis :  B) (-4, -3)

y = 1 :     E) (4, 5)

y = x :    C) (-3, 4)

y = -x :   D) (3, -4)

x-axis :  A) (4, 3)

Reflect in y-axis:  change sign of x-coordinate only

Reflect in x-axis:  change sign of y-coordinate only

Reflect in y = 1 : change sign of y-coordinate and add 2 units

Reflect in y = x : swap numerical values of x and y coordinates AND change signs

Reflect in y = -x : swap numerical values of x and y coordinates (keep original +/- signs)

Answer: 1,728

Step-by-step explanation: Ok so I'm a little confused? wait i think i got da answer

Answer: 1728

Step-by-step explanation:

its 1728 because 48 x 36 = 1728 EASY

Answer:

20/1=20 1 hour read one book

Step-by-step explanation:

4 chapter read in 4 hour because 1 chapter read in one gour

Answer:

80

Step-by-step explanation:

When working with rates, multiplication is very useful. Rate questions will give a specific rate and then a time period. They often ask, based on the rate, what can be achieved in the given time period.

The question says that if Donna can read 20 chapters in 1 hour, how many chapters can she read in 4 hours. To solve this, you can multiply 20*4; this will show how many chapters she reads in the given time period.

Since 20*4=80, she must read 80 chapters in 4 hours.

Answer:

x=30 degrees

Step-by-step explanation:

there are 3theorems that can be used for this

vertical angle theorem: vertical angles congruent

triangle sum theorem: all angles in triangle add up to 180 degrees

straight line?? i forgot the name: a straight line is 180 degrees

refer to image attached

measure of angle BAC is 36 degrees by vertical angle theorem.

look at the angle 105 degrees. it and a unknown degree to the left equal 180 because it makes a straight line. so measure of angle BDC is 180-105 degrees. measure of angle BDC is 75 degrees

then sum of all the angles in triangle ABD is 180

36 +(39+x) +75=180 degrees

solve equation

x +150=180

x=30 degrees

hope this helps !!

Answer:

2.4 *103 = 247.2

1.5*103 = 154.5

3.6*106 = 381.6

3.9*106 = 413.4

3.6*109 = 392.4

3.9*109 = 425.1

Step-by-step explanation:

2.4 * 103

we firstly count decimal numbers

in the calculation

only 2.4 has a decimal and only one number after the point

so we keep it aside making

2.4 = 24 1 dp (decimal place)

back to the calculation

1 0 3

* 2 4

----------

4 1 2

2 0 6

-------------

2 4 7 2

-------------

don't forget we still have a dp !

so we place the point 1 step backward

2472 to 1dp =

247.2

with this we can solve orders

Answer:

88

Step-by-step explanation:

If the top layer has two​ logs, there are a total of 88 logs in the pile

Number of logs in the bottom layer = 22

Number of logs in the top layer = 2

Number of logs in each subsequent layer = 22 - 2 = 20

Number of layers in the pile = 22 - 2 + 1 = 21

Total number of logs in the pile = 22 + 20 + 18 + ... + 2

This is an arithmetic series with first term 22, last term 2, and common difference -4.

The sum of an arithmetic series is given by the following formula:

sum = (first term + last term)/2 * number of terms

sum = (22 + 2)/2 * 21 = 88

Therefore, there are a total of 88 logs in the pile.\

Read more about arithmetic series here:

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#SPJ3

[tex] \frac{vz}{zy} = \frac{vw}{wx} \ \: \\ \\ \frac{16.5 }{27.5} = \frac{vw}{36} [/tex]

so

vw= (16.5×36)÷27.5= 21.6

vw=21.6

I hope it helps

please mark brainliest ♡♡

Answer:

There you go!!

Step-by-step explanation:

mark me brainliest!!

[tex]\large\underline{\underline{\maltese{\orange{\pmb{\sf{\: Explanation :-}}}}}}[/tex]

There can be two combinations by which stacy mom make snacks

[tex]9 \div 2 = 4 \\ \sf remainder = 1[/tex]

So, 4 batch of brownies and 1 cookie

[tex]9 - 7 = 5[/tex]

7 batch of cookies and one batch of brownies

Some more possibilities can be there, such as

Answer:

Your idea of building a table is not a bad start if you want accurate points.

Else, it's a parabola. It's y intercept has the non-zero coordinate equal to the constant term (red dot on the graph).

It's x intersects you find by solving

[tex]2x^2+12x+4 = 0 \rightarrow x^2+6x+2=0\\ x_1_,_2= -3\pm\sqrt7\\x_1\approx -0.35\\x_2\approx-5.35[/tex]

(green dots).

Simmetry axis has equation [tex]x=-\frac{b}{2a} = -\frac{12}{4}=-3[/tex] (orange line).

Vertex sits on this line and is in the parabola, so it's other coordinate is

[tex]2(-3)^2+12(-3)+4= -14[/tex] (orange dot).

At that point you either continue with the table, or you go for a "good enough" and try to draw a better looking parabola than mine.

Answer:

17/5

Step-by-step explanation:

That should be your answer

Answer:

[tex]3\frac{2}{5} = \frac{17}{5}[/tex] also [tex]\frac{34}{10} = \frac{17}{5}[/tex]

or ..

3.4