Find the area of the circle.
Use 3.14 for it.
A = ar2
14 cm
Give your answer to the nearest hundredth.
A = [? ] cm2

Answer:

504 miles

Step-by-step explanation:

Make a proportion

[tex]\frac{864}{12}[/tex] = [tex]\frac{x}{7}[/tex]

7/12 is 0.5833, so multiply 864 by that to find the number of miles

864(0.5833) = 504

Answer:

60

Step-by-step explanation:

1 min=60 seconds

Answer:

16 cm

Step-by-step explanation:

V= 128 cm³

b= 8 cm²

V= bh

h= V/b= 128/8= 16 cm

Answer:

solution

[tex]let \: height \: be \: h \: cm \\ volume \: of \: rectangular \: prism \\ = > \: \: 128 = l \times b \times h \\ area \: of \: base = l \times b \\ = > 8 = l \times b \\ now \\ 128 = 8 \times h \\ \\ or \: h = \frac{128}{8} \\ h = 16 \: cm[/tex]

hope this helps....

Answer:

x = 4

Step-by-step explanation:

Since the two base angles are equal, the sides must be equal

4x-8 = x+4

Subtract x from each side

4x-x -8 = x+4-x

3x -8 =4

Add 8 to each side

3x-8+8 = 4+8

3x= 12

Divide by 3

3x/3 = 12/3

x = 4

Answer:

True

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

This is due to the symmetry of the sin function, which states that:

[tex]sin(-x)=-sin(x)[/tex]

Plotting both of these functions is a reflection of [tex]y=sin(x)[/tex] in both axis.

Answer:

∠LOM is 48°

Step-by-step explanation:

∠MOL+∠MON=180°

6x°+12°+7x°-92°=180°

13x°-80°=180°

Add 80° to both sides

13x°=260°

Divide both sides by 13

x°=20°

Plugging x° into the equation for ∠LOM, we get:

7×20°-92°=

140°-92°=

48°

∠LOM is 48°

Answer: 80

Step-by-step explanation:

The formula of the area of a rhombus is (p x q)/2 (p and q being the diagonals, or the distance to opposite sides)

So, the distance between (-1,1) and (9,1) (on the x-axis) is 10. And the distance between (4,9) and 4,-7) on the y-axis is 16.

Then you substitute the diagonals into your formula: (16 x 10) /2

16 x 10 = 160, 160 ÷ 2 = 80

Hope this helped you! Feel free to ask any further questions!

Answer:

Brainleist!!!!!

Step-by-step explanation:

x/-4 + 8 = 12

x/-4 = 4

x = -16

Answer:

x = -16

Step-by-step explanation:

x/-4 -(-8)=12

Negative times negative is positive.

x/-4 + 8 = 12

Subtract 8 on both sides.

x/-4 = 12 - 8

x/-4 = 4

Multiply -4 on both sides.

x = 4 × -4

x = -16

Answer:

No

Step-by-step explanation:

(-20,3) --->(x,y)

x=-7y

-20=-7(3)

-20=-21

-20 is not equal to -21

Answer:

Step-by-step explanation:

If answer choices are given, please share them.

We could make up our own table:

 x    y = 2x

-----  ---------

 0        0

 -1        -2

  5        10

... and so on

Answer:

Need a picture

Step-by-step explanation:

Answer:

20,951

Step-by-step explanation:

If the company sold 21,00 ovens and this year they sold 49 fewer, then that means we are being told to subtract 49 from 21,00 which is the initial value.

21,000-49 = 20,951

therefore, this year they sold 20,951 (twenty-thousand nine hundred fifty one) ovens.

Answer:

20,951 ovens

Step-by-step explanation:

Last year, the company sold 21,000 ovens. This year, they sold 49 fewer ovens that that.

Fewer, means less, or subtractions. Therefore; we must subtract 49 (the difference between this year and last year) from 21,000 (the number of ovens sold this year)

21,000-49

20,951

The company sold 20,951 ovens this year.

Answer:

Step-by-step explanation:

21-13=8   and   29-21=8

So this is aritmetic series where a₁ = 13, and r = 8

Sum of the first n terms:  

[tex]S_n=\dfrac{a_1+a_n}{2}\cdot n=\dfrac{a_1+a_1+(n-1)r}{2}\cdot n=\dfrac{2a_1+(n-1)r}{2}\cdot n\\\\\\S_{50}=\dfrac{2\cdot13+(50-1)\cdot8}{2}\cdot50=(13+49\cdot4)\cdot 50=10,450[/tex]

Answer:

1/3

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

9/27 = 1/3

Check by dividing the third term by the second

3/9 = 1/3

and so forth

1/3 = 1/3

etc

The common ratio is 1/3

Answer:

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Step-by-step explanation:

Step 1: Multiply exponents

[tex]\frac{y^{6/6}z^{-6/2}}{x^{-12}y^{-6/2}}[/tex]

Step 2: Simplify

[tex]\frac{yz^{-3}}{x^{-12}y^{-3}}[/tex]

Step 3: Flip the negative exponents

[tex]\frac{x^{12}y^{4}}{z^3}[/tex]

Answer:

Solution,

[tex] \frac{BD}{CD} = \frac{AE}{CE} \\ or \: \frac{6}{8} = \frac{9}{8 + DE} \\ or \: 48 + 6(DE) = 72 \\ or \: 6(DE) = 72 - 48 \\ or \: 6(DE) = 24 \\ or \: DE= \frac{24}{6} \\ DE = 4 \\ ce = 8 + 4 = 12 \\ area \: of \: trapezoid \\ = area \: \: of \: aec - area \: of \:bdc \\ = \frac{1}{2} (a)(12) - \frac{1}{2} (6)(8) \\ = 54 - 24 \\ = 30 \: {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

Area = 30 cm²

Step-by-step explanation:

Finding DE first:

ΔCDB is similar to ΔCEA

So, To find DE, We'll take the proportion of their sides:

=> [tex]\frac{6}{8} = \frac{9}{CE}[/tex]

Cross Multiplying

=> 6CE = 72

Dividing both sides by 6

=> CE = 12 cm

Now

DE = CE - CD

DE = 12-8

DE = 4 cm

Now, Finding the Area of trapezium:

=> Area = [tex]\frac{a+b}{2} (Height)[/tex]

Where a = 6, b = 9 and Height = 4

=> Area = [tex]\frac{6+9}{2} (4)[/tex]

=> Area = 2(15)

=> Area = 30 cm²

Answer: Renton is 26 and Eureka is 9

Step-by-step explanation: Eureka is 17 years younger than Renton. So, the first step of this problem would be to multiply 17 by two, because that would be the age that Renton would be twice as old as Eureka (17 x 2 = 34). But, that will be in eight years from now, so you must subtract 8 from 34. (26) That is Renton's current age. We also know that Eureka is 17 years younger than he is, so all we need to do to finish this problem is to subtract 17 from Renton's age, 26 (9).

Hope this helped you! Please comment if you have any further questions!

Answer:

y = -4x + 2

Step-by-step explanation:

The equation of a line is written in y = mx + b form, where m is the slope and when finding the slope, it is relatively easy finding the y - intercept. To find the slope of a line perpendicular to a line that you already know the slope of, the slope of a perpendicular line is the negative reciprocal. The negative reciprocal of the slope of y = 1/4 x + 5 is -4, which is the slope of the line we are trying to find. Since we have our slope, we can rewrite our equation as y = -4x + b. Now since we already have a point that it passes through, we have our y-intercept. Our y - intercept is the y coordinate when the x coordinate is 0. Since we have our point (0, 2) we have our y - intercept, which is two. Thus, our answer is y = -4x + 2.

Answer:

y = -4x + 2

Step-by-step explanation:

Well first we have the equation y = 1/4x + 5.

And we have to find the line that is perpendicular to that line that also passes through the point (0,2) so first we have to graph it. Look at the image below.

So we have to find a line that is perpendicular meaning it crosses y = 1/4x + 5 and makes 4 90° angles.

So to start off we know that 2 is the y intercept.

so our equation looks like this y = ?x + 2

We can keep trying x values till we get it.

But we do know that the x value has to be negative.

So the equation is y = -4x +2. Look at the other image below.

Answer:

B) Acute triangle

Step-by-step explanation:

In acute triangles, all of the angles are less than 90°. This is true for this triangle :)

I hope this helps!!

Answer:

B) Acute triangle

Step-by-step explanation:

All the angles are less than 90 degrees so all the angles are acute

Answer:

a) PR = 17 cm, b) QR = 6 cm

Step-by-step explanation:

∠Q=90, so PQ and QR are legs, and PR is hypotenuse.

Pythagorean theorem PQ² + QR² = PR²

a) PQ² + QR² = PR²

    8² + 15² = PR²

PR² = 289

PR = 17 cm

b) PQ² + QR² = PR²

   8² + QR² = 10²

64 + QR² = 100

QR² = 36

QR = 6 cm

Answer:

$400

Step-by-step explanation:

Seeing as VAT adds to the original price we needed to go DOWN in value to find the original price. So all I did was go through trial and error and I went and saw what 20% of number like 450 and 420 were and then I added them to the price to see if it would get to £480. So when I checked 20 percent of 400 I got 80 which added to 400 gives the market price of £480.

Answer:

Remains the same

Step-by-step explanation:

Given

[tex]\frac{XZ}{Y}[/tex]

Required

What happens when the X and Y are tripled;

[tex]Initial\ Fraction = \frac{XZ}{Y}[/tex]

When both X and Y are tripled, the new fraction is represented below:

[tex]New\ Fraction = \frac{3XZ}{3Y}[/tex]

When the numerator and denominator are divided by their common factor (3), the new fraction becomes

[tex]New\ Fraction = \frac{3XZ/3}{3Y/3}[/tex]

[tex]New\ Fraction = \frac{XZ}{Y}[/tex]

Compare the new fraction with the initial fraction; one would notice that they have the same value;

Hence, the fraction remains the same

Answer:

0.9

Step-by-step explanation:

so cos^-1 (4/13)

so it will be 0.95

if you round it up then it would be 1 if not then just 0.9

the correct answer would be - 3.25cm

here its given that x=4cm , y=4cm and z=13cm.

What are Trigonometric identities ?

Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.

The question would be solved by applying trigonometry here, Hence, applying trigonometric identity of cos0 which is base upon hypotenuse i.e. B/H

here, a triangle would be constructed wherein, base would be z=13cm

and x and y will define the other 2 lines of 4 cm each and applying cos0=base/hypotenuse , here we get 13/4= 3.25cm.

hence the correct answer is- 3.25cm

learn more about" lines and angles" here

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Answer:

10.5

Step-by-step explanation:

Let E be the midpoint of OA  and F be the midpoint of OB. 

If point O is placed between A and B, then points E and F are placed on different sides from O. The segment OE has length 12÷2=6 cm and segment OF has length 9÷2=4.5 cm. Than EF=6+4.5=10.5 cm.

If point O is placed outside the segment AB, then point B is closer to point O than point A, because OA>OB. Since OE=6 cm and OF=4.5 cm, EF=6-4.5=1.5 cm.

If the order of points is A, O, B, then the midpoints of AO and OB will be separated by half the length of AB: (12 cm + 9 cm)/2 = 10.5 cm.

please mark me brainliest :)

Answer:

10.5 cm

Step-by-step explanation:

Answer: 9 veggie buritos

Step-by-step explanation:

8 cups cauliflower = 6 veggie buritos

12 cups cauliflower = 12/8 x 6 = 9

Answer:

20[tex]\pi[/tex]

Step-by-step explanation:

The formula for circumference is 2[tex]\pi[/tex]r, where r stands for radius. Therefore, the circumference of this circle can be defined by:

2[tex]\pi[/tex]r

2[tex]\pi[/tex]10

20[tex]\pi[/tex]

Hope this helps :) Please contact me if you have any questions!

Answer:

The circumference of circle is 20π cm.

Step-by-step explanation:

Given that the formula of Circumference is C = 2×π×r where r represents radius. So you have to substitute the following values into the formula :

[tex]c = 2 \times \pi \times r[/tex]

[tex]let \: r = 10[/tex]

[tex]c = 2 \times \pi \times 10[/tex]

[tex]c = 20\pi \: cm[/tex]

Answer:

C

Step-by-step explanation:

I used the law of sines in the right triangle

The value of y from the trigonometric relation of triangles is y = 4

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔADB

And , the side AB is the common side of both the triangles

Now , the measure of ∠ABC = measure of ∠ABD = 90°

So , the triangles are similar triangles

And , corresponding sides of similar triangles are in the same ratio

On simplifying , we get

From the trigonometric relations , we get

sin 30° = opposite side / hypotenuse

sin 30° = y/8

( 1/2 ) = y / 8

Multiply by 8 on both sides , we get

y = 8/2

y = 4

Therefore , the value of y is 4

Hence , the trigonometric relation is solved and the value of y is 4

To learn more about trigonometric relations click :

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Answer:

Okay so he had to withdraw 28.50 from his bank account every week so that means he withdrew 142.5 that in 5 weeks

Step-by-step explanation:

Answer:

[tex]-0.36a^5b^6x^6.[/tex]

Step-by-step explanation:

Given:

a²x⁵b, −0.6axb² and 0.6a²b³

Required

Find their product

The product of a²x⁵b, −0.6axb² and 0.6a²b³ is as follows:

[tex]a^2x^5b * -0.6axb^2 * 0.6a^2b^3[/tex]

Split individual monomial

[tex]a^2*x^5*b * -0.6*a*x*b^2 * 0.6*a^2*b^3[/tex]

Bring like terms together

[tex]-0.6 * 0.6 * a^2 * a * a^2 *b *b^2 * b^3 *x^5*x[/tex]

For ease of multiplication, group each like terms using brackets

[tex](-0.6 * 0.6) * (a^2 * a * a^2) * (b *b^2 * b^3) *(x^5*x)[/tex]

Using law of indices;

Which states that; [tex]m^a * m^b = m^{a + b}[/tex]

The expression becomes:

[tex](-0.36) *(a^{2+1+2}) * (b^{1+2+3}) * (x^{5+1})[/tex]

[tex]-0.36 * a^5 * b^6 * x^6[/tex]

Multiply the above expression

[tex]-0.36a^5b^6x^6.[/tex]

Hence;

The product of a²x⁵b, −0.6axb² and 0.6a²b³ is equivalent to [tex]-0.36a^5b^6x^6.[/tex]