HELP 50pts!!!
Ivanna drove 225 miles using 10 gallons of gas. At this rate , how many gallons of gas would she need to drive 441 miles ?

____ gallons

Answer:

Step-by-step explanation:

The value of x in the triangle is 205.24 calculated by using tan function.

By using tan function we find the value of x.

Let us divide x to two parts which includes two right triangles.

We know than tan function is a ratio of opposite side and adjacent side.

tan 55 = 106/adj

adj= 106/1.428

adj=74.22

Now let us find the adjacent side length of larger triangle similarly.

tan 39  = 106/ adj

0.809 = 106/adj

adj=106/0.809

adj=131.025

So the value of x is 74.22+131.025

=205.245

Hence, the value of x in the triangle is 205.24.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ3

The approximate diameter of the rug with an area of 40 ft² is 7.14 feet.

Area is the amount of space occupied by a two dimensional shape or object.

The area of a circle is given by:

Area = π * diameter²/4

The rug has an area of 40 square feet. Hence:

40 = π * diameter²/4

Diameter = 7.14 feet

The approximate diameter of the rug with an area of 40 ft² is 7.14 feet.

Find out more on area at: https://brainly.com/question/25292087

Answer:

when the x input is 6 the y output is 7

The tubes of paint that would be needed to paint the ramp with an area of 2905 inches is 3 tubes of paint

Division is a mathematical operation that is used to determine the quotient of a number. The sign used to represent division is ÷.

2905 / 1400 = 2.075 tubes of paint

To learn more about division, please check: https://brainly.com/question/194007

Answer:

you really go to the cca

Step-by-step explanation:

you really go to the cca

Answer:

the answer is C which one is this

Answer:

6.5

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

B

Step-by-step explanation:

62x4=248

4x2=8

6x4=24 and carry the 0 and get 240

240+8=248 and you get B

Answer:

x^3+5x^2+16x+80

Step-by-step explanation:

You know that you can write your polynom this way : (x-r1)(x-r2)(x-r3) with r1,r2 and r3 the roots so you get :

(x+5)(x+4i)(x-4i)

Simplify (x+4i)(x-4i) with the formula (a-b)(a+b)=a²-b²

so you have (x^2+16)=(x+4i)(x-4i)

Your polynom looks like this :

(x^2+16)(x+5) just expand it

and you get x^3+5x^2+16x+80

Answer:

the area for

a=16pi or 50.26548...

b=64pi or 201.061329...

c= 169pi or 530.929158...

d=100pi or 314.159265

d is 19.7392088... or 6.25pi times greater than a

Step-by-step explanation:

the decimal values are more accurate for the d is greater than circle a

so you start with a=4 in radius then b=a+4, c=b+5, d=c-3

then solve the equation a=4, b=8, c=13, d=10

then you solve for the area using the formula radius squared pi

getting the answers above

as for the second answer you would divide d to a getting the amount of times more above for circle d and circle a

Answer:

dot A is 0.62 dot B is 7/9 and dot C is 10/9

Step-by-step explanation:

Answer:

mean: 318.266

median: 372

mode: 19

range: 756

Step-by-step explanation:

to find the mean or the average, add all the numbers up and divide them by how many there are. example: 5 + 5 + 5 = 15 ÷ 3 = 4

to find the mode, all you have to do is find the number that is most common, there can be multiple modes

for the range, you subtract the smallest number from the largest

finally, to get the median, you put all the numbers in order from smallest to biggest and make your way to the number in the middle, if there are two numbers in the middle, add them up and divide them by two

Answer:

Mean: 298.87
Mode: 19
Median: 372
Range: 756

Step-by-step explanation:

Mean is the sum of terms over the total number of terms.
(19+19+27+93+121+203+372+389+405+453+493+549+565+775)/15 = 298.87
Mode is the most repeated term or value in the set.
(19,19,27,93,121,203,372,389,405,453,493,549,565,775) the only value repeated is 19
Median is the middle of the data set.
With 15 values the middle is 372
Range is the extent of all values between smallest and largest values
Largest values is 775, and the smallest is 19. 775-19 = 756

Answer:

[tex]\frac{11^{4} }{11^{11} } ,\frac{1}{11^{-4} }, 11^{5}*11^{2}, (11^{-3})^{-3}[/tex]

Step-by-step explanation:

For this, you need to know the rules of exponents:

If the coefficient is the same, you can do things to it (which I will get into)

In this case, all the coefficients are 11, so we don't have to worry about the coefficients being different.

For the first one, you can subtract the denominator exponent by the numerator exponent like so:

[tex]11^{4} * 11^{-11} = 11^{-7}\\[/tex]

(When you multiply, you add the exponents)

Also, the rule is: [tex]x^{-y} = \frac{1}{x^{y} }[/tex] or [tex]\frac{1}{x^{-y} } = x^{y}[/tex]

For the second one, you can use the rule mentioned before:

[tex]\frac{1}{11^{-4} } = 11^{4}[/tex]

For the third one, you want to multiply the exponents (in these kinds of cases, you can multiply the exponent by the exponent)

So:

[tex](11^{-3} )^{-3} = 11^{9}[/tex]

Finally, the fourth one, you can simply just add the exponents:

[tex]11^{5} * 11^{2} = 11^{7}[/tex]

Then, just order them from least to greatest by their exponents value :)

Answer:

C

Step-by-step explanation:

Okay, the catch of this question is that they do a very good job of explaining Maria's age in terms of George's age, but they leave George's age in terms of Maria's all up to you.

First start off by doing an expression of what they explicitly give you. Maria's age in terms of George's age.

Let's use variables g, representing George's age and m representing Maria's age

m = 2g + 3

Okay, this is all dandy and all, but they ask us for George's age in terms of Maria's, so we need to isolate for g.

subtract the 3 from both sides, like so:

m - 3 = 2g

then divide 2 from both sides: (remember we're dividing the whole thing)

(m-3)/2 = g

Now we have an expression for George's age in terms of Maria's.

g = (m-3)/2 or [tex]g = \frac{m-3}{2}[/tex]

The answer that gives us this, is C.

Answer:

Step-by-step explanation:

when  3(2x^2+4x+7)−(x^2−8x+11) is solved you get

5x^2 + 20x + 10.

the x term is

−

2

+

√

2

,

0

)

,

(

−

2

−

√

2

,

0

)

[tex]3(2x^2+4x+7)-(x^2-8x+11)\\\\=6x^2 +12x + 21 -x^2+8x -11\\\\=5x^2+20x +10\\\\\text{The coefficient of the x term is 20}[/tex]

Answer:

The standard form of the equation of the ellipse is x² + y²/36 = 1

Step-by-step explanation:

* Lets revise the standard equation of the ellipse

- The standard form of the equation of an ellipse with  

 center (0 , 0) is  x²/b² + y²/a² = 1

where,

* the length of the major axis is 2a

* the coordinates of the vertices are (0 , ±a)

* the length of the minor axis is 2b

* the coordinates of the co-vertices are (±b , 0)

*  the coordinates of the foci are (0 , ± c),  where c² = a² - b²

* Now lets solve the problem

∵ The vertex of the ellipse is (0 , 6)

∴ a = 6

∵ The co-vertex is (1 , 0)

∴ b = 1

∵ the center is the origin (0 , 0)

∵ The standard form equation is x²/b² + y²/a² = 1

∴ x²/(1)² + y²/(6)² = 1 ⇒ simplify

∴ x² + y²/36 = 1

* The standard form of the equation of the ellipse is x² + y²/36 = 1

Answer:

[tex]y = 5[/tex]

Step-by-step explanation:

Given function:

[tex]y=\dfrac{5x}{x+6}[/tex]

[tex]\implies y=5 \left( \dfrac{x}{x+6}\right)[/tex]

[tex]\textsf{As }x \rightarrow +\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]  

[tex]\implies y\rightarrow5[/tex]

[tex]\textsf{As }x \rightarrow -\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]  

[tex]\implies y\rightarrow5[/tex]

As [tex]x[/tex] approaches infinity and negative infinity, [tex]y[/tex] approaches 5 (but never gets there).    Therefore, the horizontal asymptote is [tex]y=5[/tex]

Answer:

(a) BC = 91 cm

(b) ∠C = 33.4° (nearest tenth)

(c) AD = 79.5 cm (nearest tenth)

Step-by-step explanation:

(a) Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

⇒ 60² + BC² = 109²

⇒ 3600 + BC² = 11881

⇒ BC² = 11881 - 3600

⇒ BC² = 8281

⇒ BC = √(8281)

⇒ BC = 91 cm

(b) Sine rule to find an angle:

   [tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

(where A, B and C are the angles, and a, b and c are the sides opposite the angles)

Given:

[tex]\implies \dfrac{\sin (90)}{109}=\dfrac{\sin C}{60}[/tex]

[tex]\implies \sin C=60 \cdot\dfrac{\sin (90)}{109}[/tex]

[tex]\implies \sin C=\dfrac{60}{109}[/tex]

[tex]\implies C=33.39848847...\textdegree[/tex]

[tex]\implies C=33.4\textdegree \ \sf(nearest \ tenth)[/tex]

(c) Sine rule to find a side length:

   [tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

(where A, B and C are the angles, and a, b and c are the sides opposite the angles)

Sum of interior angles of a triangle = 180°

Given:

[tex]\implies \dfrac{AD}{\sin (90)}=\dfrac{60}{\sin (49)}[/tex]

[tex]\implies AD=\sin (90) \cdot \dfrac{60}{\sin (49)}[/tex]

[tex]\implies AD=79.5007796...[/tex]

[tex]\implies AD=79.5 \ \sf cm \ (nearest \ tenth)[/tex]

Answer:

As Per Provided Information

A jewellry case has a base area of 37.5 sq cm and a height of 1.5 cm .

Total Number of these cases are 6 .

We have been asked to determine the volume of these cases .

[tex]\bf\: Volume_{(Jewellery \: Cases)} = Base \: Area \: \times height \times Total \: number \: of \: Jewellery \:Cases[/tex]

Let's substitute the given value and we obtain

[tex]\sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = 37.5 \times 1.5 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 56.25 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 337.5 \: {cm}^{3} [/tex]

Therefore,

Step-by-step explanation:

Given:-

To Find:-

Solution:-

Volume of 1 box :- base area × height

37.5 cm² × 1.5 cm

56.25 cm³

So , volume of 6 such cases :- 56.25 × 6

= 337.5 cm³

Answer:

  46.7 mph

Step-by-step explanation:

The speed can be found by substituting the measured skid length for the variable in the formula.

  v = √(20L)

  v = √(20×109) = √2180 ≈ 46.7

The car was traveling at approximately 46.7 miles per hour.

Answer:

y = -3

Step-by-step explanation:

y = | x | - 4

y = | -1 | - 4

y = 1 - 4

y = -3

Comment any questions!

$7,015.11

Depth meanings:

[tex]\sf P = \dfrac{A} { (1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\rightarrow \sf P = \dfrac{12,158.10} { (1 + \dfrac{3.7\%}{2})^{(2)(15)}}[/tex]

[tex]\rightarrow \sf P = \dfrac{12,158.10} { (1 + \dfrac{0.037}{2})^{(2)(15)}}[/tex]

[tex]\rightarrow \sf P = 7015.113646[/tex]

Answer:

5 startrood 3 endroot units .

The length of YA from the figure is 10√3 units

According to the pythagoras theorem;

YZ² = AZ² + YA²

Given that YZ = 2AZ, hence;

20²  = 10² + YA²

YA²  = 400 - 100
YA²  = 300

YA = √300

YA = 10√3 units

Hence the length of YA from the figure is 10√3 units

learn more on Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ9

The value of x in the special right triangle is 39.60 ft.

Right angle triangle has one of its angles as 90 degrees. The side and angles can be found using trigonometric ratios.

Therefore, let's find the base of the triangle with 30 degrees.

sin 30° = opposite / hypotenuse

1 / 2 = 7 / b

b = 14 ft

Let's use the value(14 ft) to find the height of the biggest triangle.

sin 30 = opposite / hypotenuse

sin 30 = 14 / h

0.5h = 14

h = 14 / 0.5

h = 28 ft

Therefore, let's find the value of x .

sin 45° = 28 / x

x = 28 / 0.70710678118

x = 39.5979797464

x = 39.60 ft

learn more on right triangle here: https://brainly.com/question/10412877

Step-by-step explanation:

log 3 (10022)

= 8.38561

log n (155)= 8.38561

n^8.38561=155

log 10 (n)= log 10 (155)

lpg 10 (155)= 2.190331698

8.38561 log10 (n)=2.190331698

log10 n = 2.190331698÷8.38561

lo^-1 (0.2612012)

=1.825

n=1.825

B for question 12

B for question 13

Step-by-step explanation:

U = Union

n= intercestion

B'= not b

A"= not a

so AnB'

should be B

if 2.50 = 1

2.50x8=

20

1×8 =

8

should be $8

Step-by-step explanation:

the area of a rectangle is length × width.

in our case

37 × 18 = 666 ft²

so, we need 666 ft² of tiles.

Answer:

666 square feet

Step-by-step explanation:

To find the number of square feet of tile, we need to find the area:

A = L × W

A = 18 × 37

A = 666 ft²

Answer:

24 cubic inches

Step-by-step explanation:

Volume is side x side x side. You already have done side x side so it is just side x area.

Sabrina, to find which fits, plug them in. Since 20% is closer to 15% than 30%, we know that more 15% is used than 30%.

3(.15) + 2(.3) = 5(.2)

.45 + .6 = 1

Nope

(10/3)(.15) + (5/3)(.3) = 5(.2)

.5 + .5 = 1

Answer:

2010

Step-by-step explanation:

volume of a cube= hxlxw

5x5x5=125

V=πr2h

π10^2x6=1884.9=1885

1885+125=2010