Esther cycles 70 miles over 4 days.
On day 1 she cycles 14 miles.
On day 2 she cycles 32 km.
On day 4 she cycles twice as far as she does on day 3
How far does she cycle on day 4?
Give units with your answer.

Answer:

Step-by-step explanation:

<A = <C

The angles meeting at B and are part of the triangle are vertically opposite and therefore equal.

<E  and <D are equal. (given)

Therefore by angle angle angle, the two connected triangles are similar

AD/CE = 12/x        from <A = <C

27/23.4=12/x         Cross Multiply

27x = 12*23.4        Combine the Right Side

27x = 280.8           Divide by 27

x = 280.8/27

Answer: x = 10.5 cm

Answer:

a = 4/3

yea thats the answer

Answer:

B

Step-by-step explanation:

sinΘ = [tex]\frac{6}{7}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

This is a right triangle with hypotenuse 7 and opposite side 6

Use Pythagoras' identity to find the adjacent side a

a² + 6² = 7²

a² + 36 = 49 ( subtract 36 from both sides )

a² = 13 ( take square root of both sides )

a = [tex]\sqrt{13}[/tex]

Then

cosΘ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{\sqrt{13} }{7}[/tex] → B

Answer:

12/52 or 3/13

Step-by-step explanation:

So lets go over what we know:

There are 12 face cards in a deck of cards

There are 52 cards in a deck

So there are 12 face cards out of 52 cards.

The ratio of this is:

12 : 52

This looks like this in fraction form:

[tex]ratio1 : ratio2[/tex] =   [tex]\frac{ratio1}{ratio2}[/tex]

So the ratio 12 : 52 = [tex]\frac{12}{52}[/tex]

So the answer is 12/52(this can be simplified to 3/13)

Hope this helps!

The statement that is true about her rate of change in elevation is  She descended at a rate of 920 feet per hour.

From the question, Jacinta traveled from an altitude of 4,450 feet above sea level to an altitude of 150 feet below sea level, then the total distance traveled will be

D = 4450 + 150

D = 4600 feet

If Jacinta drove at a constant speed and the trip took her five hours, her rate will be expressed as:

Rate = Total distance/Time

Rate = 4600/5

Rate = 920 feet perhour

Hence the statement that is true about her rate of change in elevation is  She descended at a rate of 920 feet per hour.

learn more on rate of change here: https://brainly.com/question/8728504

Answer:

je ne comprend padto n devoir

Answer:

Step-by-step explanation:

The pattern of this sequence is : From a term, we minus 6 to get to the next term

107 - 6 = 101
101 - 6 = 95
So on and so on.

The difference between 107 and -61 is : 107 - (-61) = 168

Everytime we go to the next term, we get 6 units closer to -61

So, -61 will be the 168 : 6 = 28th term of this arithmetic sequence.

Step-by-step explanation:

You need to find the n( A n B ) and then continue the process, if you have any question revert back to me...

Combine the fractions on the left side:

9/(x + 2) + 2/(x - 2) = 1

9 (x - 2) / ((x + 2) (x - 2)) + 2 (x + 2) / ((x + 2) (x - 2)) = 1

(9x - 18) / ((x + 2) (x - 2)) + (2x + 4) / ((x + 2) (x - 2)) = 1

(9x - 18 + 2x + 4) / ((x + 2) (x - 2)) = 1

(11x - 14) / ((x + 2) (x - 2)) = 1

Recall the difference of squares identity,

a² - b² = (a + b) (a - b)

which lets us simplify the denominator on the left side as

(11x - 14) / (x² - 4) = 1

For any real numbers a and b, if a/b = 1, then a = b. This means

11x - 14 = x² - 4

which we can rearrange as

x² - 11x + 10 = 0

Factorize the left side:

(x - 10) (x - 1) = 0

Then

x - 10 = 0   or   x - 1 = 0

x = 10   or   x = 1

Answer:

12x-8

Step-by-step explanation:

Answer:

12x-8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a. geometric

b. an =  2(2)^n-1 or an = 2^n

c. an+1 = an x 2

Step-by-step explanation:

The sequence, 2, 4, 8, 16, 32,...

a. The sequence is geometric because there is a common ratio in the numbers of the sequence. Each number is made by multiplying the common ratio and the previous number.

b. The explicit formula that can be used to find any term is an =  2(2)^n-1 or an = 2^n

Note: the variable n and number 1 is written in italics to show that it should be in subscript

an = a1 (r)n-1

With the common ratio of n being 2 and first number being 2, we have:

an =  2(2)^n-1

or

an = 2^n

c. The recursive formula for the sequence is an+1 = an x 2

an+1 = an x r

Plugging in the values, we have

an+1 = an x 2

Your welcome, and comment if you have any questions! If you could mark this answer as brainliest, I would appreciate it very much!

Using it's concept, it is found that there is a:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there is a total of 18 + 1 + 10 + 0 = 29 animals, hence:

18/29 = 0.6207.

0.6207 = 62.07% probability of selecting a cow.

1/29 = 0.0345.

0.0345 = 3.45% probability of selecting a horse.

10/29 = 0.3448.

0.3448 = 34.48% probability of selecting a goat.

0/29 = 0.

0% probability of selecting a chicken.

More can be learned about the probability concept at https://brainly.com/question/15536019

Given :

To Find :

Solution :

We know that,

[tex] \purple{ \boxed{\quad \bf Length \times Width = Area_{(rectangle)}}}[/tex]

Now, Putting the values in the formula :

[tex]{ \qquad \sf { \dashrightarrow{ x(x + 2)= 168 {cm}^{2} }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ {x}^{2} + 2x= 168 }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ {x}^{2} + 2x - 168=0 }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ {x}^{2} - 12x + 14x - 168 = 0 }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ {x}(x - 12) + 14(x - 12) = 0 }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ ({x}+ 14)(x - 12) = 0 }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ ({x}+ 14) = 0 }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ {x}= - 14 }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ ({x} - 12) = 0 }}}[/tex]

[tex]{ \qquad \sf { \dashrightarrow{ {x} = 12 }}}[/tex]

The length of the rectangle can never be negative so the length must be 12 cm .

Therefore, Width = (12 + 2) = 14 cm .

Answer:

11

Step-by-step explanation:

You replace all the x with 12 when its f(12). if its f(3) you would replace all the x with 3.

So,

f(12)=2/3(12)+3

f(12)=8+3

f(12)=11

Answer:

Step-by-step explanation: well the  anwser is 48

Step-by-step explanation:

Q1)

for x = 2, y = 1

-8x³y⁴/7 = -64/7

-8×2³×1⁴/7 = -8×8×1/7 = -64/7

true

Q2)

x/4 + x/6 - x/2 = 3/4

is x = -9 ?

bringing everything to 1/12 ...

3x/12 + 2x/12 - 6x/12 = 3×3/12

-x/12 = 9/12

-x = 9

x = -9

true

Q3)

can

1 - 2ab - (a² + b²) = 1 - 2ab - a² - b² be factored as

(1 + a - b)(1 + a + b)

let's multiply

(1 + a - b)(1 + a + b) =

= 1 + a + b + a + a² + ab - b - ab - b² =

= 1 + 2a + a² - b²

this is NOT the same as

1 - 2ab - a² - b²

false

Q4)

The horizontal distance of a point from the y-axis is called abscissa or x coordinate of the point.

3 is the y coordinate of (2, 3) and not the x coordinate.

false

Q5)

(7, 9) and (9, 7)

the x coordinates are different, and the y coordinate are different. so, they are definitely NOT the same point.

this would be like saying 5 hours and 3 minutes is the same as 3 hours and 5 minutes.

false

Q6)

now, this is tricky. there are 4 perfect cubes between 1 and 100 :

1×1×1 = 1

2×2×2 = 8

3×3×3 = 27

4×4×4 = 64

did your teacher mean "exactly 3 perfect cubes" ? because, since there are 4, there are also 3, of course (and 2, and 1).

and did "between 1 and 100" mean including the numbers 1 and 100, or excluding the numbers 1 and 100 ?

so, if excluding 1 and 100, then it is true.

if including 1 and 100 and asking for exactly 3, then it is false.

if including 1 and 100 and truly only asking for 3, then it is true.

Q7)

12³ = 12×12×12 = 144×12 = 1728

true

Q8)

(a+1)(a-1)(a²+1) = (a⁴ -1) ?

let's multiply

(a² + a - a - 1)(a² + 1) = (a²-1)(a²+1) = a⁴ - a² + a² - 1 = a⁴-1

true

Q9)

the areas of the 2 squares are

25a² and 25b²

the sum is

25a² + 25b² = 25(a² + b²)

but

25(a+b)(a-b) = 25(a² - b²)

this is NOT the same.

false

Q10)

abc + bca + cba

a monomial is, roughly speaking, a polynomial which has only one term.

but the given expression has 3 terms.

false

The dimension of PQ is the product of the number of raws of matrix P to the number of columns of the matrix Q. Then the dimension of the matrix PQ is 3 X 5.

The dimensions of a matrix are the product of the number of raw and the number of columns, which is known as a dimension of a matrix.

Matrix P has dimensions of 3 X 4 and Matrix Q has dimensions 4 X 5.

Then we have to determine the dimension of PQ.

We know that the dimension of PQ is given as the product of the number of raws of matrix P to the number of columns of the matrix Q.

Then the dimension of the matrix PQ is 3 X 5.

More about the dimension of the matrix link is given below.

https://brainly.com/question/15168550

Answer:

52.22

Step-by-step explanation:

→ Write down which length is not given

Hypotenuse

→ Identify a formula without hypotenuse in it

T = O ÷ A

→ Rearrange formula to find assigned length

Opposite = Tan ÷ Adjacent

→ Substitute in the numbers

tan ( 43 ) ÷ 56 = 52.22

Answer:

y=3x-4

Step-by-step explanation:

If we substitute the values of the points (-3, -13) (-1, -7), and (2, 2) into the equation, we can see that it's right.

Answer:

R325

Step-by-step explanation:

Cost to buy shoes (x)

x = 175 * 50

x = 8750

At this point they've lost R8750 (-8750)

7500 = -8750 + 16250

To make an overall profit of R7500 they would need to sell the shoes at

16250 / 50 = R325

[tex]6 \frac{2}{3} = \frac{2}{18} = 9[/tex]

[tex]3 \times \frac{1}{2} = \frac{1}{6} = 6[/tex]

6×9=54

Answer:

sin(90-25) = sin(65)

Step-by-step explanation:

cos(a) = sin(90-a)

The distributive property is basically expanding brackets.

So if you take 3(x + 4) = 36 and remove the brackets (so multiplying out the 3), you get:

3x + 12 = 36

And from there you simplify :)

3x + 12 = 36

3x = 24

x = 8

The distributive property was used to multiply the 3 through the brackets, thus making the equation easier to solve I guess

Step-by-step explanation:

Color combinations used in a presentation

2

The overall look of a presentation

4

A typeface without decorative extensions on the ends of the letters

5

The difference between objects

3

A tool used in presentation planning

1

Answer:

D) 10

Step-by-step explanation:

Singe a right triangle has to be 90 degrees, 60+(3*10)=90:)

therefore x=10

Answer:

D

Step-by-step explanation:

the angles 60 and 3x form a right angle , then

60 + 3x = 90 ( subtract 60 from both sides )

3x = 30 ( divide both sides by 3 )

x = 10 → D

The expression results when the change of base formula is [tex]\rm \dfrac{log(x+2)}{log4}[/tex].

We have to determine

Which expression results when the change of base formula is applied to log Subscript 4 Baseline (x + 2)?

The logarithm of a product as a sum of logarithms, the log of the quotient as a difference of log, and log of power as a product.

The base change formula is;

[tex]\rm loga_x= \dfrac{log_bx }{log_ba}\\\\[/tex]

The expression results when the change of base formula is applied to log Subscript 4 Baseline (x + 2) is;

[tex]\rm = log_4(x+2)\\\\=\dfrac{log(x+2)}{log4}[/tex]

Hence, the expression results when the change of base formula is [tex]\rm \dfrac{log(x+2)}{log4}[/tex].

To know more about base property click the link given below.

https://brainly.com/question/15972912