True or false? In order to find the diagonal inside a rectangular prism, you need to use the Pythagorean Theorem two different times

Answer:

57 miles per hour

Step-by-step explanation:

Find his average speed by dividing the total of miles he traveled by the number of hours:

456/8

= 57

So, this means he traveled 57 miles in one hour.

His average speed was 57 miles per hour

Answer:

5 dollars per foot

Step-by-step explanation:

question: An investment of $100 is now valued at $149.18 the interest rate is 8% per year, compounded continuously about how long has the money been invested

Answer:

5.2 years

Step-by-step explanation:

Applying

A = P(1+R/100)ⁿ.......................... Equation 1

Where A = amount, P = principle, R = rate, n = time.

From the question,

Given: A = $149.18, P = $100, R = 8%

Substitute these values into equation 1 and solve for n

149.18 = 100(1+8/100)ⁿ

149.18/100 = (1+8/100)ⁿ

1.4918 = (1+0.08)ⁿ

1.4918 = (1.08)ⁿ

Taking the Logarithm of both side

Log(1.4918) = Log(1.08)ⁿ

Log(1.4918) = nLog(1.08)

n = Log(1.4918)/Log(1.08)

n = 0.1737/0.0334

n = 5.2 years.

Answer:

Q1: 18 degrees

Q2: 60 sides

Step-by-step explanation:

The sum of the exterior angles is always 360 degrees. With this, do 360/20 to get the amount of sides that are within the shape.

360/20  --> 18 degrees.

Now with the interior angles, it can be found with the equation ((n-2) * 180 degrees) / n = Angle Given. With this, plug 174 degres into your equation.

(n-2) * 180 degrees) / n = Angle Given

(n-2) * 180 degrees) / n = 174

180n -360 / n = 174

180n -360 / 174n

360 = 6n

n = 60

It would be 60 sides.

Answer:

use formula,

P(x,y)=P'(-y,x)

so.

R(-2,-2)=R'=(2,-2)

S(1,1)=S'(-1,1)

T(-1,-3)=T'(3,-1)

Step-by-step explanation:

plot R,S,T and R',S',T' in the graph

Answer:

12 11/35

Step-by-step explanation:

Given Data

First term= 15 3/5

To simple fracrion= 78/5

Second term= 3 2/7

To simple fracrion= 23/7

Hence the operation goes thus

= 78/5- 23/7

LCM = 35

=546-115/35

=431/35

=12 11/35

Answer:

[tex] 12 \frac{11}{35} = \frac{431}{35} [/tex]

Step-by-step explanation:

[tex]15 \frac{3}{5} - 3 \frac{2}{7} \\ (15 - 3) + ( \frac{3}{5} - \frac{2}{7} ) \\ 12 + ( \frac{3}{5} - \frac{2}{7} ) \\ 12 + \frac{11}{35} [/tex]

[tex] \boxed{Answer:{\boxed{\green{= 12 \frac{11}{35} = \frac{431}{35}}}}} [/tex]

Answer:377 /4  = 94 and 1 / 4  =94.25

Step-by-step explanation:

Subtract

95 − 3 /4

 = 377 / 4

Convert integer to fraction

95 = 95 / 1

Find common denominator

95 over 1

− 3 over 4

= ( 95 × 4 ) over ( 1 × 4 )

 − ( 3 × 1 ) over ( 4 × 1 )

= 380 over 4

 − 3 over 4

4 is the least common multiple of denominators 1 and 4. Use it to convert to equivalent fractions with this common denominator.

Subtract

380 over 4

− 3 / 4

= ( 380 − 3 ) / 4

= 377 /4

Simplify

377 / 4

= 94 and 1 /494

Reduce fraction to lowest terms

1 is the greatest common divisor of 377 and 4. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

377 /4

= 94 1 /4

377 ÷ 4 = 94 remainder 1

By writing the whole number as a fraction, we will see that the solution is 377/4

Here we want to take the difference between a whole number and a fraction:

95 - 3/4

To do this, we need to write the whole number as a fraction, to do it, we multiply and divide it by 4:

95 = (4/4)*95 = 380/4

Now we rewrite our expression as:

95 - 3/4 = 380/4 - 3/4 = 377/4

This is the solution of the expression.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

Answer:1. X+2y=0 answer:−2y     2. 12y= -6x answer:x=−2y

Step-by-step explanation:

Answer:

1.) 12000

2.) 6750

3.) 2.41

Step-by-step explanation:

Given the Equation :

f(t)=12,000(3/4)^t. ; where, t = time ; f(t) = worth of car at time, t

When, car was purchased, t = 0

t = 0

f(0) = 12000(3/4)^0

= 12000 * 1

= 12000

2.)

f(2) ; this mean the worth of the car after 2 years :

f(2)=12,000(3/4)^t.

12000(3/4)^2

12000 * 0.5625

= 6750

When car will be worth 6000

f(t) = 6000

f(t)=12,000(3/4)^t.

6000 = 12,000(3/4)^t

6000 / 12000 = (3/4)^t

1/2 = (3/4)^t

Take the log of both sides :

Log(0.5) = log(0.75)^t

log(0.5) = tlog(0.75)

- 0.301029 = - 0.124938t

t = - 0.301029 / - 0.124938

t = 2.4094

t = 2.41 years

Answer:

It is a rational.

Step-by-step explanation:

0.25² = 0.0625

It is a rational.

Answer:

18ft

Step-by-step explanation:

Formula of circumference * r x r x 3.14* or d x 3.14*

:DDD And ye glad I could help!

Answer:

;FIHI;IHFHGILSOUDHFUHZSIUDGNJKZNSFJGNOSHTJOIJOIGJOSKFNGKNSJKGNONOJGOKJN

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

Circles have a total of 360°

mDBG does not include mBA or mGA

This means that mDBG = 360 - ( mBA + mGA )

mBA = 28° ( this is given )

mGA = 90° ( this is also given; it's indicated by the right angle )

Thus, mDBG = 360 - ( 28 + 90 )

28 + 90 = 118

mDBG = 360 - 118

360 - 118 = 242

Hence, mDBG = 242

Answer:

x = 74

Step-by-step explanation:

One of the properties of a parallelogram is that opposite angles are congruent. This means that the angle with a measure of (74) degrees and (x) degrees are the same, thus the following conclusion can be drawn,

x = 74

Answer:

786.86 would have been earned after ten years.

After ten years the balance would be 1186.86

Step-by-step explanation:

First I put the numbers into the equation 400l(1+.07/1)^10 and solved it to get 786.86 then added that to the original amount getting the second part of the answer :)

Answer:

Step-by-step explanation:

[tex]9*8=72\\0.5*6*8=24\\10*9=90\\72+24+90=186 m^{2}[/tex]

Answer:

B. 6 cans for 5.16

Step-by-step explanation:

A. 0.89$ for 1 can

B. 0.86$ for 1 can

C. 0.88$ for 1 can

D. 0.90$ for 1 can

Answer:

b

Step-by-step explanation:

store a - 0.89 each can

store b - 0.86 each can

store c - 0.88 each can

store d - 0.90 each can

Answer:

its A

Step-by-step explanation:

Answer:

the answer is 7

Step-by-step explanation:

Compounded Continuously:

A=Pe^rt

A=8600

P=7600

r=0.019

8600=7600e^0.019t

[tex]\frac{x}{y} 8600\\ 7600[/tex] =[tex]\frac{x}{y} 7600e^0.019t\\7600[/tex]

1.1315789=e^0.019t

In(1.1315789)=e^0.019t

ln(1.1315789)=

\,\,0.019t

0.019t

6.5059977=t

t=7

thxxxx byee

Answer:

-14

Step-by-step explanation:

Type it in a calculator

Answer:

-14

Step-by-step explanation:

positive 9 × 2 = 18 ÷ 3 = -6

negative 6 + negative 8 = - 14

a negative plus a negative always equals a negative

Hope this helps or if you don't understand you can use photo math <3

Answer:

3, 20, 2, and 2.5

Step-by-step explanation:

For each question, they gave you an x and y value. If you substitute them into the equation and then solve for k, you get your answer.

On the first one, x is 12 and y is 1/4. If you put those into the equation they gave you y = k/x, you get 1/4 = k/12

3/12 is 1/4 so the first k is 3.

Second one y = k/x. x is 4 and is 5. So 5 = k/4

20/4 is 5, so the second k is 20.

Answer:

A. y = -3/2x + 9

Step-by-step explanation:

In slope intercept form (y = mx + b), b represents the y-intercept. Therefore, simply look on the graph where the line intersects with the y-axis. In this case, that is all that was needed since we can clearly see that equation A is the only one with a y-intercept of 9.

Answer:

a

Step-by-step explanation:

any two points on the line are

(0,9 ) and (4,3)

slope=(3-9)/(4-0)=-6/4=-3/2

y intercept is 9

so eq. of line is y=-3/2x+9

Answer:

Step-by-step explanation:

V=H x W x  L  so 11.25= H (1.5) (2);  3H=11.25 so the height of one box is 3.75’

To find the volume of 5 stacked boxes multiply the volume of one box by 5.

5(3.75 x 1.5 x 2) which is 20.25 cubic feet.

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]x = 5[/tex] ---- 5-hour shift

Required

The expected earnings

The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.

Take for instance, the equation is:

[tex]y = 10x + 2[/tex]

The expected earnings will be:

[tex]y = 10*5 + 2[/tex]

[tex]y = 50 + 2[/tex]

[tex]y = 52[/tex]

Expected Earnings = $52

Answer: c

Step-by-step explanation: because you add the x's and then add the fractions

Answer:

I believe the answer would be A and C

Step-by-step explanation:

Answer:

a,c and e

Step-by-step explanation:

Answer:

[tex]Total = 11\frac{1}{8}\ cups[/tex]

Step-by-step explanation:

Given

See attachment for plot

Required

Total number of cups used

The number of dot on each dataset represent the number of student

So, to get the total number of cups, we simply add the product of the number of cups and the number of student for each data item

So, we have:

[tex]Total = \frac{1}{8} * 6 + \frac{1}{4} * 5 + \frac{3}{8} * 2 + \frac{1}{2}*0 + \frac{5}{8} * 4 + \frac{3}{4} * 2 + \frac{7}{8} * 5[/tex]

[tex]Total = \frac{6}{8} + \frac{5}{4} + \frac{6}{8} + 0+ \frac{20}{8} + \frac{6}{4} + \frac{35}{8}[/tex]

Solve

[tex]Total = \frac{6+10+6+0+20+12+35}{8}[/tex]

[tex]Total = \frac{89}{8}[/tex]

[tex]Total = 11\frac{1}{8}\ cups[/tex]

Answer:

A certified accountant and can file 1040X

Step-by-step explanation: