A hiker travels 6 mph, which is 3/11 the rate of a cyclist. Suppose the cyclist is following behind the hiker. How fast does the distance between them decrease?

Answer:

Explanation:

solve, insert equation 2 into 1

Find x:

x = 2(y)

x = 2(8)

x = 16

Answer:

y = 8

x = 16

Step-by-step explanation:

Given equations:

Reorganize the equations:

[tex]\left \{ {{x + y = 24} \atop {x = 2y}} \right.[/tex]

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

Subtract:

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

[tex]{ {{[x - x] + [y - (-2y)]= 24 - 0}[/tex]

[tex]{ {{x - x + y + 2y= 24}[/tex]

[tex]3y= 24}[/tex]

Divide 3 both sides:

[tex]\dfrac{3y}{3} = \dfrac{24}{3} }[/tex]

[tex]y = 8[/tex]

Substitute y in any equation:

[tex]x = 2(y)[/tex]

[tex]x = 2(8) = 16[/tex]

Answer:

I think the answer is 42%

I don't really know for sure though

Answer:

117 in²

Finding the area of the trapezoid:

First, we need to find the area of the trapezoid formed by the dotted lines. The formula for finding the area of the trapezoid is "(a₁ + a₂)h/2".

[Where, a₁ = shorter parallel side; a₂ = longer parallel side]

⇒ (a₁ + a₂)h/2 = Area of trapezoid

⇒ (14 + 26)15/2 = Area of trapezoid

⇒ Area of trapezoid = (40)15/2 = (20)15 = 300 in²

Reviewing on how to find the area of the unshaded region:

To find the area of the shaded region, we need to subtract the area of the unshaded region from the area of the trapezoid. In this case, the unshaded region is a triangle whose base is 26 inches. To find the area of the triangle, we need to use the formula 1/2 x Base x Height. We are given the base, but the height is unknown.

Determining the height:

We are given a small side length "6 inches" and the height of the trapezoid "15 inches". If we subtract the small side length from the height of the trapezoid, we will obtain the height of the triangle.

⇒ Height of trapezoid - Small side length = Height of triangle

⇒ 15 - 6 = Height of triangle

⇒ 9 in = Height of triangle

Determining the area of the unshaded region:

Now, let's substitute the base and the height in the formula to find the area of the triangle

⇒ 1/2 x Base x Height

⇒ 1/2 x 26 x 9

⇒ 13 x 9

⇒ 117 in²

Determining the area of the shaded region:

Finally, let's subtract the area of the unshaded region from the area of the trapezoid to obtain the area of the shaded region.

⇒ Area of trapezoid - Area of unshaded region = Area of shaded region

⇒ 300 - 117 = Area of shaded region

⇒ 183 in² = Area of shaded region

Answer:

D)  30

Step-by-step explanation:

AB is the diameter of the circle

AB = AE + EB

     = 25 + 9

     = 34

OB, OC and OD are all the radius of the circle.

Radius = half the diameter

Therefore, OB = OC = OD = 34 ÷ 2 = 17

ΔCOD is an isosceles triangle with congruent sides OC and OD, and height OE

OE = OB - 9

     = 17 - 9

     = 8

Base of isosceles triangle = [tex]2\sqrt{a^2-h^2}[/tex]

(where a is one of the congruent side lengths and h is the height)

[tex]\implies CD=2\sqrt{OD^2-OE^2}[/tex]

[tex]\implies CD=2\sqrt{17^2-8^2}[/tex]

[tex]\implies CD=30[/tex]

Basically it's almost everything but choice A

==================================================

Explanation:

When intersecting two lines to form an X shape, the vertical angles are the ones that form opposite one another. They do not have to align vertically, meaning they don't have to be stacked on top of one another. They could be side by side.

This applies to the following angle pairs

The items in bold apply to choices B through D

Side note: Vertical angles are always congruent.

Answer:

2nd, 3rd and 4th options

Step-by-step explanation:

when two lines intersect to make an X , angles on opposite sides of the X are called vertical angles. These angles are congruent.

from the listed angles the following are vertical angles.

∠ 5 and ∠ 7

∠ 3 and ∠ 1

∠ 4 and ∠ 2

Other vertical angles in the diagrm include

∠ 6 and ∠ 8

∠ 9 and ∠ 11

∠ 10 and ∠ 12

∠ 13 and ∠ 15

∠ 14 and ∠ 16

Answer:

Step-by-step explanation:

Answer: Raise 1000 to the power of 4

1000000000000

Answer:

11x+60° =93

11x =93-60

x=33/11

x=3

z+93 = 180 (being angles in st. line)

z=180-93

z= 87

Answer:

x=3

z=87

Step-by-step explanation:

Using the vertical angles rule, we can set 11x+60=93, solve for x:

[tex]11x+60=93\\11x=33\\x=3[/tex]

Since two angles on a line add up to 180, we can find z by setting 180=z+93, solve for z:

[tex]180=93+z\\87=z[/tex]

Answer:

directly before 5/4

Step-by-step explanation:

graph a straight vertical line directly before 5/4

or maybe it's just asking for where the value 1 should is and it's the same.

Answer:

It is the line to the left of 5/4

Step-by-step explanation:

it goes 5/4 then 4/4 or 1 then 3/4,  2/4, 1/4 then 0

Answer:

n

(

−

2

)

n

4

+

n

Step-by-step explanation:

In the word document :)

Answer:

Answer for 1

3. 21,356 x one half

Answer for 2

1. A and C

Step-by-step explanation:

Answer:

Check out the attached photo it might help

Answer:

heya! ^^

here , we've been given a right angled triangle along with the measure of two of its sides.

and , we've to find the measure of its third side.

so , we'll be using Pythagoras Theorem to find the measure of the third side.

but first , let's take a look at what Pythagoras Theorem is-

Pythagoras theorem states that the square of the hypotenuse of the triangle is equal to the sum of squares of the remaining two sides.

according to the figure ,

side AB = hypotenuse = 60 cm

side AC = perpendicular = 48 cm

side BC = base = a

now by using Pythagoras Theorem ,

[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ (60) {}^{2} = (48) {}^{2} + a {}^{2} \\ \\ 3600 = 2304 + a {}^{2} \\ \\ a {}^{2} = 1296 \\ \\ a = \sqrt{1296} \\ \\ a = 36[/tex]

therefore ,

option ( 4 ) 36 is correct.

hope helpful :D

Answer:

[tex] \\ [/tex]

Step-by-step explanation:

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (Base) {}^{2} + (Perpendicular {)}^{2} = (Hypotenuse {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \\ [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} + (48 {)}^{2} = ( 60{)}^{2} }}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} = ( 60{)}^{2} - (48 {)}^{2}}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =3600 - 2304}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad (a) {}^{2} =1296}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\sf {\qquad a = \sqrt{1296}}}} \\ \\[/tex]

[tex] {\longrightarrow \pmb{\frak {\qquad a = 36 }}} \\ \\[/tex]

Therefore,

Answer:

289

Step-by-step explanation:

using the method of completing the square

add ( half the coefficient of the u- term )² to u² + 34u

u² + 2(17)u + 17²

= u² + 34u + 289

= (u + 17)² ← a perfect square

Answer: 6.15 you already solved it congrats

Step-by-step explanation:

you already equal both amount equations to each other therefore you are solving for the hours he gets equal pay

Answer: 50ft I think

Step-by-step explanation: add them all . The length of a line is missing so make 16 minus 6 will give you 10 and add the rest . Please mark brainliest . 4 and 10 and 5 and 6 and 9 and 16 Will give 50 ft only

Ah, yes. Perimeters. Perimeters are found by adding up the lengths of all the sides. But, as stated in the question description, there's one side missing. The way we find it is by subtracting the 6-foot side from the 16-foot side. The way this works is because 1) every corner is a right angle 2) and if that's so, the side with no number and the 6-foot side will add up to equal 16 feet, the same as the side opposite it.

If we subtract 6 from 16, we get 10. So, therefore, the missing side's length is 10 feet.

Now let's add all the sides together.

9 + 6 + 5 + 10 + 4 + 16 = 50

The perimeter of this shape is 50, if my geometry memory serves me correctly.

I hope this answers your question.

-Toremi

Answer:

48°

Step-by-step explanation:

we know that opposite angle of parallelogram is equal

so,

angel C is equal to opposite angle H

H = 48

angle C = 48°

angle R = 132°

angle H = 48° (opposite of angle C)

angle S = 132°(opposite of angle R)

Mark me Brainiest please

Answer:

50.46???

Step-by-step explanation: im bad at  this so if it help ima be proud nut uhhh i tryed ...

Answer:

I believe this is an isosceles triangle! Hope this helps ^^

Answer:

Step-by-step explanation:

more hcl = less time.

error in table drawing or values not precise. more explanation needed in pic.

yes.                       more hcl = less time.

Answer:

[tex]4p^2-3[/tex]

Step-by-step explanation:

Using it's concept, it is found that the probability of rolling an even number or flipping a tail is of [tex]\frac{3}{4}[/tex].

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

In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.

Hence, the probability is given by:

[tex]p = \frac{9}{12} = \frac{3}{4}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

24

Step-by-step explanation:

Pythagorean Theorum: [tex]a^2+b^2=c^2[/tex]

Solving:

[tex]a^2+7^2=25^2[/tex]

[tex]a^2+49=625[/tex]

[tex]a^2=579[/tex]

[tex]\sqrt{a^2} = \sqrt{579}[/tex]

[tex]a=24[/tex]

Checking:

[tex]24^2+7^2=25^2[/tex]

Answer:

24

Step-by-step explanation:

Use the Pythagorean Theorem:

A^2 + B^2 = C^2

See the attached image.

Answer:

Step-by-step explanation:

4.17 is equivalent to 4.17 × 100.  NO  4.17 x 100 = 417

[If this is really 4.17 is equivalent to 4.17 × 10^0.  Then YES.  10^0 = 1]

4.17 is equivalent to 4.17 × 101.   NO  4.17 x 101 = 421.17

Again, if this is 10^1, then no.  10^1 = 10

The product has a positive exponent.   YES  

The coefficient is 6.

Coefficient?  NO.  Exponent?  Then YES

The E in the product is the indicator that the solution is in scientific notation.  YES  4.17E6 is 4.17 x 10^6

The exponent of the product is the product of the original exponents.

NO.  In multiplication, the exponents are added (as long as they have the same base)

EDGE 2022

Answer:

Step-by-step explanation:

-2  1/2 = -2.5( i between -2 and -3

 -3/4   One mark short to 1

        or 3 marks from  zero

Answer:

The -2 1/2 would goin the middle of the -3 and -2. 3/4 would go on the 3rd line between 0 and 1. Hope this helped

Step-by-step explanation:

Step-by-step explanation:

y = ax^n + bx^(n-1) ... + z

(0, 1) tells us that the constant term z = 1.

because x = 0 eliminates all other terms. and as the sum is 1, that means z = 1.

for the other pairs I strongly suspect

(-1, 3) : 2×(-1)² + 1 = 2×1 + 1 = 3

(-2, 9) : 2×(-2)² + 1 = 2×4 + 1 = 9

so, the fitting equation is

y = 2x² + 1