After 4 minutes of reading, Aaron was on page 14 of his book. After 8 minutes he was on page 20. Which equation models the page number, y, in terms of minutes x?

9514 1404 393

Answer:

  B.  75.8 ft²

Step-by-step explanation:

The height of each triangle can be found using the Pythagorean theorem. The given edge length (7 ft) is the hypotenuse of the triangle, and the base edge length is twice one leg of the triangle.

The height of the triangle on the 2 ft faces is ...

  √(7² -1²) = √48 = 4√3

The height of the triangle on the 8 ft faces is ...

  √(7² -4²) = √33

The areas of the triangular faces are the product of the height and half the base length:

  A = 1/2bh

  2 ft edge triangle area = (1/2)(2 ft)(4√3 ft) = 4√3 ft²

  8 ft edge triangle area = (1/2)(8 ft)(√33 ft) = 4√33 ft²

__

The area of the rectangular base is ...

  A = LW

  A = (8 ft)(2 ft) = 16 ft²

__

The total surface area of the pyramid is the sum of the areas of the triangular faces and the area of the rectangular base.

  2(4√3 +4√33) +16 = 8(2+√3+√33) ≈ 75.813

The total surface area is about 75.8 ft².

Answer:

-10/7

Step-by-step explanation:

(-5/7)/(2/4) = (-5/7)/(1/2) = (-5/7)*(2/1) = -10/7

Answer:

Step-by-step explanation:

5x - 4 > 12

5x > 12 + 4

5x > 16

x > 16/5

12x + 5 < -4

12x < - 4 - 5

12x < - 9

x < - 9/12

x < - 3/4

Option A is the correct answer

Answer:

4d99982726629161619172928227

Step-by-step explanation:

di ko alam Ang sagot

Answer:

12[tex]x^{4}[/tex]y[tex]z^{7}[/tex]√3x

Step-by-step explanation:

2√108[tex]x^{9}[/tex]y²[tex]z^{14}[/tex]

so you will need two of something to take one out from under the squareroot

we can rewrite [tex]z^{14} = z^{7} *z^{7}[/tex] so we can take a [tex]z^{7}[/tex] out

we can rewrite y² as y*y so we can take a y out

we can rewrite [tex]x^{9}[/tex] as [tex]x^{4} *x^{4} *x[/tex] so we can take a [tex]x^{4}[/tex]out

for 108 think what is the smallest prime number that divides 108 and is 2

108= 2*54

same algorithm, smallest prime number that divides 54 is 2 so

108=2*2*27

same algorithm, smallest prime number that divides 27 is 3 so

108=2*2*3*9

we know 9 is 3*3 so

108=2*2*3*3*3 we can take out one 2 and one 3

put them all toghether now

2*2*3*[tex]x^{4}[/tex]*y*[tex]z^{7}[/tex]√3x = 12[tex]x^{4}[/tex]y[tex]z^{7}[/tex]√3x

Answer:

g=12/7

Step-by-step explanation:

Answer:

The answer is (B. 18) and I believe this is correct because 2×18=36 & 3×18=54

(I really do hope I made it understandable and hope it helps)

A + B = 65...Equation 1

B + C = 140...Equation 2

Solve Equation B for C.

C = 140 - B

The sum of the angles in a triangle is 180 degrees.

We know that A + B = 65.

65 + C = 180

We know that C = 140 - B.

65 + 140 - B = 180

205 - B = 180

-B = 180 - 205

-B = -25

B = -25/-1

B = 25

Plug B = 25 into B + C = 140 to find angle C.

25 + C = 140

C = 140 - 25

C = 115

Angle B = 25°.

Angle C = 115°.

Understand?

D.it is not linear because it does not have a constant rate of change

Answer:

d

Step-by-step explanation:

i took the test

Answer:

I think it is b

Step-by-step explanation:

Answer:

B

graph B represents 1/2#1/6

1/2#1/6=3

Answer:

x=2.2

Step-by-step explanation:

calc

Answer:

n

Step-by-step explanation:

Answer:

21/10 mph

Step-by-step explanation:

When you divide a fraction with another fraction, the number after the division sign gets flipped (meaning that the numerator and denominator switch so 1/2 would be 2/1)

So using that we can solve this:

7/5 / 2/3

7/5 * 3/2

21/10 miles per hour

Answer:

given us,

width= 10.0

length= 5.0

here,

w×d= 10.0× 5.0

= 50

now

cm/ m

=1.0/ 4.5

= 2.22

w×d x cm.m× 100

50/ 2.22× 100

2252.25

Step-by-step explanation:

we have to solve and multiply

See Explanation

Step-by-step explanation:

1. By interior angle sum Postulate of a triangle.

[tex] m\angle a+ m\angle y +m\angle z= 180\degree.... (1)\\\\

m\angle a+ m\angle w +m\angle x= 180\degree.... (2)\\\\[/tex]

From equations (1) & (2), we find:

[tex] m\angle a+ m\angle y +m\angle z= m\angle a+ m\angle w +m\angle x\\\\

m\angle y +m\angle z= m\angle w +m\angle x\\[/tex]

Hence proved

2. In [tex] \triangle PQS, \: \angle QSR [/tex] is exterior angle.

Therefore, by remote interior angle theorem, we have:

[tex] m\angle QPS + m\angle PQS= m\angle QSR\\\\

x + m\angle PQS= 2x\\\\

m\angle PQS= 2x-x\\\\

m\angle PQS = x.... (1)\\\\

m\angle QPS = x.... (given).... (2)\\[/tex]

From equations (1) & (2), we find:

[tex] m\angle PQS = m\angle QPS\\\\

\therefore \angle PQS \cong \angle QPS\\\\

\therefore PS \cong QS\\(sides\: opposite \: to\: congruent \:\angle s) \\\\[/tex]

[tex] \therefore \triangle PQS [/tex] is an isosceles triangle.

Thus proved.

Answer:

[tex]y=\frac{5}{3}x+4\frac{2}{3}[/tex]

Step-by-step explanation:

slope-intercept form: y = mx + b

Given:

Slope(m) = [tex]\frac{5}{3}[/tex]

Point = (-1, 3)

To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:

[tex]3=\frac{5}{3}(-1)+b[/tex]

[tex]3=-\frac{5}{3}+b[/tex]

[tex]4\frac{2}{3}=b[/tex]

Now that we know the values of b and m, we can write the equation:

[tex]y = \frac{5}{3}x+4\frac{2}{3}[/tex]

Answer:

It actually might be D or C

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i just did a test over that and it said D

...

Answer:

m = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

Step-by-step explanation:

Step 1: Define equation

m + 6 = -4

Step 2: Solve for m

Step 3: Check

Plug in m to verify it's a solution.

Step-by-step explanation:

Volume of a cylinder is:

V = πr²h

V = (3.14) (4 in)² (5 in)

V = 251.2 in³

Volume of a cone is:

V = ⅓ πr²h

V = ⅓ (3.14) (4 in)² (15 in)

V = 251.2 in³

The volumes are equal.

Answer:

substitution

Step-by-step explanation:

I would choose substitution because the first equation can easily be set in terms of y, then substituted into the second equation, while to eliminate you would have to multiply on of the equations by a number and make it negative in order to eliminate.

Answer:

its D

Step-by-step explanation:

D!!!

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

The more regular way of presenting such a graph is y = -2/3 x + 20

(Put the x on the right and made sure that the y has a coefficient of 1.)

Coefficient means the number in front of the letter (in this case).

x intercept = 30

(30,0)

y intercept = 20

(0,20)

The intercepts mean

The y intercept means the whole garden contains nothing but lettuce. (20)

The x intercept means the whole garden contains nothing but tomatoes.(30)

Answer:

C.

Step-by-step explanation:

1.) switch x and y

x=(7y+18)/2

2.) multiply both sides by 2

2x=7y+18

3.) subtract 18 from both sides

2x-18=7y

4.) divide both sides by 7

(2x-18)/7=y

Answer:

An equation in standard form modeling this situation is:

75x + 50x = 425

Step-by-step explanation:

Let

x represent the number of pairs of socks you buy

y represent the number of pairs of gloves you buy

Each pair of Socks in store cost 75php, and each pair of gloves costs 50php. If you want to spend exactly 425php.

The equation is given as:

75php × x + 50php × y = 425php

= 75x + 50y = 425

Therefore,

the equation in standard form modeling this situation is:

75x + 50x = 425

Slope-Intercept Form - Y = Mx + b

Y = 1/4x + 1

Answer:

0.30 per topping

Explanation:

3.35 - 2.75= 0.60

0.60 / 2 = 0.30

Answer:

Corresponding Angles

Step-by-step explanation:

They are the same

Answer:

Corresponding angles.

Step-by-step explanation:

Love your Christmas tree BTW!