Use three-unit multipliers to convert 97 cubic feet to cubic inches

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:

1.70

Step-by-step explanation:

Logarithmic functions are the inverses of exponential functions. Hence, exponential functions can be expressed in logarithmic form whereas logarithmic function can be expressed in exponential form. Since log is a function, it is most correctly written as log.

Given that f(x) = log₁₀(x)

To find the value of f(50), we substitute x to be 50 in the logarithm function and solve:

f(50) = log₁₀(50)

f(50) = log₁₀(5 * 10) = log₁₀(5) + log₁₀(10)  

f(50) = 1 + log₁₀(5) = 1 + 0.70

f(50) = 1.70

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:

880 times 0.45 equals 396 as his/her commissioner fee

Step-by-step explanation:

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:

Step-by-step explanation:

Simon needs 1000 ML of milk

Craig needs 60 G of butter

Answer:

Craig needs 7.5g of butter to make 12 pancakes.

Step-by-step explanation:

To calculate how many times you need to multiply 8 by to make 12, simply divide 12 by 8. This gives you 1.5.

1.5*5 =7.5

So Craig needs 7.5g of butter to make 12 pancakes.

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: 190

Step-by-step explanation:

Answer:

C. 137

Step-by-step explanation:

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:

640 Miles

Step-by-step explanation:

Part A: x = y+45

Part B: 40 125-45 = 80, 80÷2 = 40

Part C: Yes, because 80+45 adds up to 125.

Hope this helps! :)

It is possible for Angela to have spent 80 minutes playing soccer if she plays for a total of exactly 125 minutes and plays soccer for 45 minutes longer than she plays golf because 80+45 adds up to 125.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer for 45 minutes longer than she plays golf.

Part A:  A pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day.

x = y + 45

Part B: A pair of linear equations to show how much Angela spends playing golf every day.

125 - 45 = 80,

80/2 = 40

Part C: Yes, it is possible for Angela to have spent 80 minutes playing soccer if she plays for a total of exactly 125 minutes and plays soccer for 45 minutes longer than she plays golf because 80+45 adds up to 125.

Learn more about linear equations;

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Answer:

8.06

Step-by-step explanation:

Answer:

$30.92

Step-by-step explanation:

Answer:

$23 I hope this helps :)

Step-by-step explanation:

Answer:

14.13 units

Step-by-step explanation:

Semicirle is half the circumferene of a full circle. A full circle has a circumfence of 28.26 units.

Answer:

32 miles

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 = 1/16 (one chance on 16

2 = 7/16 (the non shaded parts are 7, while the total parts are 16)

3 = 11/16 ( 11 is unshaded + even)

4 = 4/16 = 1/4 (the favourable possibilities are: 13, 14, 15, 16)