James is buying a motorcycle that costs $2,034.24, including tax. He will pay for it in equal monthly payments over 24 months. How much will James pay each month?

Answer:

36 green apples

Step-by-step explanation:

Number of red apples = percentage of red apples x total number of apples in the box

percentage of red apples = 100 - 40 = 60%

0.6  x 60 = 36

Answer:

yes the triangle is congruent, because you did not use any transformations you on used translations.

but if you used transformations it would be similar not congruent

Answer:

D. y=70x

Step-by-step explanation:

The cheetah was clocked running 70 miles per hour.

i.e. in 1 hour cheetah covered 70 miles

in 2 hours cheetah covered 140 miles

in 3 hours cheetah covered 210 miles

in general, in n hour cheetah covered 70n miles

If y denote the distance covered

and x denotes the time cheetah runs

Then, y=70x

Hence, the equation which shows the relationship between the distance, y, and time, x, the cheetah runs is:

D  y=70x

Answer:

n ≤103

Step-by-step explanation:

The product of a number n and 1 is expressed as  n

Six less than the number is n - 6

If the result is no more than 97, then;

n - 6 ≤ 97

n ≤ 97 + 6

n ≤103

Hence the value of n is no more than 103

Answer:

Step-by-step explanation:

The formula for this particular problem is

[tex]x^2=2(2+16)[/tex] and

x² = 2(18) and

x² = 36 so

x = 6

Scale factor = (image)/(preimage)

[tex]AC=8\\\\A'C'=12[/tex]

So, the scale factor is [tex]\frac{12}{8}=\boxed{1.5}[/tex]

Answer:

y= -1/2x+4

Step-by-step explanation:

slope = rise/run on the graph. the graph is going down, so it's negative. find where the line intersects the graph at a point and then count the squares up and over until it meets again. the line meets at (6,1), you count up one square and over 2 and it meets again. this gives you your rise/run = 1/2. the y intercept is where the line intersects the y axis. here the y intercept is 4 because the like goes through 4 at the y axis.

Answer:

Step-by-step explanation:

let angle p be x

x+27=56 degree (sum of two opposite interior angle is equal to the exterior angle formed)

x=56-27

x=29 degree

therefore p is 29 degree.

Answer:

Step-by-step explanation:

The roots of the quadratic equation below using the quadratic formula are option A. [-9 ± √105 ] / 6.

Given is a quadratic equation,

3x² + 9x - 2 = 0

Quadratic formula to find the roots of a general quadratic equation ax² + bx + c is,

x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a

Here a = 3, b = 9 and c = -2.

Substituting the values,

x = [-9 ± [tex]\sqrt{9^2-(4)(3)(-2)}[/tex] ] / (2 × 3)

  = [-9 ± [tex]\sqrt{81+24}[/tex] ] / 6

  =  [-9 ± √105 ] / 6

So the roots are [-9 ± √105 ] / 6.

Learn more about Roots of Quadratic Equations here :

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Answer:

3 : 7 : 5

Step-by-step explanation:

Given

12 : 28 : 20 ← divide each part by 4 ( the LCM of 12, 28, 20 )

= 3 : 7 : 5

Answer:

Step-by-step explanation:

[tex]28y^{7} *x^{4} *u^{3} \\8x^{4} *u^{5}[/tex]

rewrite those 2 terms to better see what they have in common

[tex]4*7 *x^{4} *u^{3} *y^{7} \\4*2*x^{4}*u^{3} *u^{2}[/tex]

because, 4*7 =28, 4*2=8, u³*u² =u^5, and multiplication is commutative

The greatest common factor is:

[tex]4x^{4} u^{3}[/tex]

Answer:

1

Step-by-step explanation:

Answer:

C) 80

Step-by-step explanation:

triangles always add up to 180 degrees, so 80+20=100 the missing angle is 80 degrees

Answer:

28

Step-by-step explanation:

Answer:

DE ≈ 16.1, ∠E ≈ 60.3°, ∠D ≈ 29.7°

Step-by-step explanation:

use pythagorean theorem:

DE² = 8² + 14² => DE = √8² + 14² ≈ 16.1

use inverse tangent function:

∠E =  [tex]tan^{-1}[/tex](14/8) ≈ 60.3°

∠D =  [tex]tan^{-1}[/tex](8/14) ≈ 29.7°

Answers:

The "units" and "degrees" portions of the answers are likely to be left out.

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

Explanation:

Since we have a right triangle, we can use the pythagorean theorem to find the hypotenuse DE

a^2+b^2 = c^2

c = sqrt(a^2+b^2)

c = sqrt(8^2+14^2)

c = 16.124515496597

c = 16.1 is the approximate length of side DE

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

We'll use the tangent ratio to find angle E

tan(angle) = opposite/adjacent

tan(E) = FD/FE

tan(E) = 14/8

E = arctan(14/8)

E = 60.2551187030578

E = 60.3 degrees

The notation arctan is the same as inverse tangent. You should have a [tex]\tan^{-1}[/tex] button on your calculator to help compute the inverse tangent.

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

We could use the tangent ratio to solve for angle D, by noting that

tan(D) = 8/14

or we could use the idea that D+E = 90 which solves to D = 90-E

D = 90-E

D = 90-60.3

D = 29.7 degrees

Note how arctan(8/14) = 29.74488 which rounds to 29.7

Answer:

y = 2x + 5

Step-by-step explanation:

We have two points,

(-2,1) and

(4,13)

from which we can find the slope, m, where

m = (13-1)/(4--2) = 12/6 = 2

take any of the two points to form the point-slope form

y-y1 = m(x-x1)

y-13 = 2 (x-4)

y = 2x - 8 + 13 =2x+5

Check:

when x = -2, y = 2(-2)+5 = 1 checks.

Answer:

0.88

Step-by-step explanation:

We would consider the first case second column....

So 14/16 will be the probability that comes out be approximately 0.88.

Answer:

D

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

x is bisecting the baseline (cutting it in 2 halves of 6).

the third angle in the main overall triangle is 60 degrees.

remember, all angles in a triangle always add up to 180 degrees.

so, 180 - 60 - 60 = 60.

that means that all 3 angles are of equal size (60). and that means that all 3 sides must have the same length.

=> y = 12

and now using Pythagoras to calculate the height (x) of the triangle :

y² = x² + 6² (remember, this side is only half the baseline)

12² = x² + 6²

144 = x² + 36

x² = 108

x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)

Answer:

Answers can be found on g4uthmath app on phone. Take a picture of the figure + "find the value...", with the a, b, c, and d options (the options with the equations, not just the letters itself). Don't include "Analyze the diagram below and complete the instructions that follow."

Anyways. answer is C!

x = 6sqrt3, y = 12

Answer:

An expression to represent the length of the side of the square with an area of 4x^2+12x+9 in terms of x is 2x + 3

Step-by-step explanation:

all sides of a square are equal in length.

area of a square is the side length squared.

area a, side s, variable x.

a = 4x^2 + 12x + 9.   s = ?   x = ?

a = s^2.

a = 4x^2 + 12x + 9.

4x^2 + 12x + 9 = s^2.

x^2 + 3x + 9/4 = (s^2)/4.

factor x^2 + 3x + 9/4 = (s^2)/4.

(x + 3/2)(x + 3/2) = (s^2)/4.

(x + 3/2)^2 = (s^2)/4.

√((x + 3/2)^2) = √((s^2)/4).

take positive root.

x + 3/2 = s/2

solve for side s.

s/2 = x + 3/2

s = 2x + 3

Answer:

Hello! answer: 30

Step-by-step explanation:

Triangle area can be found be doing base × height × 1/2 or base × height ÷ 2

So...

12 × 5 = 60 60 ÷ 2 = 30 therefore the area is 30 hope that helps!

The area of the following right-angled triangle is 30 sq units.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

By the concept of Pythagoras' theorem,

13² = 5² + h².

h² = 13² - 5².

h² = 144.

h = 12.

Now, We have the height and we can find the area of the triangle,

= (1/2)×5×12.

= 30 sq units.

learn more about triangles here :

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Answer:

1. 345,600 seconds

2. 432,000 seconds

3. 1 day

4. 7500 meters

Hope that this helps!

Answer:

4 days=345600sec

5 days=432000

86400=24 hours

7.5km = 4.6miles

Step-by-step explanation:

60sec * 60= 1hour * 24 * 4=4 days  if one day = 86400 sec than 4 days is 345600 and we know one day is 86400 seconds so just add that for one day

to convers km to mils you multiply the km value by .6214

Answer:

70%

Step-by-step explanation:

He should round the percentage to the nearest 10 which will give him a more reasonable prediction. Hope this helps!

Answer:

C. every rhombus is a parallelogram

Answer:

every rhombus is also a parallelogram....

Answer:

A(-1,1) B(-3,2) C(-3,4) D(-1,5)

Step-by-step explanation:

when the shape is rotated 270° it will be in quadrant 2(top left). the x coordinates will be negative. the y coordinates will still be positive. basically if you move your paper so the shape in in the top left corner, you will find your coordinates.

Answer:

3/88

Step-by-step explanation:

when multiplying fractions, you can just multiply across. make sure to simplify!

Answer:

A. Dilation

Step-by-step explanation:

Since the transformation you're talking about doesn't preserve the size of the triangle it would be dilation.

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

20² - 16² = x²

400 - 256 = x

400 - 256 = 144

√144 = 12

Answer:

8.06

Step-by-step explanation: