Determine the longest distance inside a rectangular prism with dimensions of 8 ft x 3 ft by 9 ft

Answer:

Step-by-step explanation:

The cost of hiring a car can be worked out using this rule. Cost = £80 + 50p per mile. 50p. = to.s per mile per mile. Carlos hires a car and drives 90 miles.

Answer: 2/5

1/5 you will keep

you will CHANGE the division sign to multiplication, never change when it is multiplication.

1/5 X 1/2

You will FLIP  2/1 into 1/2. Now multiply numerator x numerator, denominator x denominator.

1/5 X 1/2= 2/5

Now you have gotten your answer but for the future, the numerator should never be greater than the denominator, if it is, divide.

Answer:

[tex]\sf \bold{\begin{pmatrix}7&-12&6\\ 3&-2&7\\ -12&-1&2\\ 7&3&-2\end{pmatrix}}[/tex]

Explanation:

[tex]\Longrightarrow \ \sf Give n \ A = \sf \bold{\begin{pmatrix}2&-9&8\\ 4&2&-1\\ -5&-3&7\\ 4&8&-4\end{pmatrix}}[/tex]

[tex]\Longrightarrow \ \sf Given \ B = \bold{\begin{pmatrix}-5&3&2\\ 1&4&-8\\ 7&-2&5\\ -3&5&-2\end{pmatrix}}[/tex]

Solve:

[tex]\sf A - B = \begin{pmatrix}2&-9&8\\ \:4&2&-1\\ \:-5&-3&7\\ \:4&8&-4\end{pmatrix}- \begin{pmatrix}-5&3&2\\ 1&4&-8\\ 7&-2&5\\ -3&5&-2\end{pmatrix}[/tex]

subtract the elements in matching positions

[tex]\sf A - B = \begin{pmatrix}2-\left(-5\right)&\left(-9\right)-3&8-2\\ 4-1&2-4&\left(-1\right)-\left(-8\right)\\ \left(-5\right)-7&\left(-3\right)-\left(-2\right)&7-5\\ 4-\left(-3\right)&8-5&\left(-4\right)-\left(-2\right)\end{pmatrix}[/tex]

Final Outcome

[tex]\sf \bold{\begin{pmatrix}7&-12&6\\ 3&-2&7\\ -12&-1&2\\ 7&3&-2\end{pmatrix}}[/tex]

Answer:

12 is the lcd

Step-by-step explanation:

because 12x1=12

and 2x6=12

Answer:

12

Step-by-step explanation:

Both 12 and 2 have the factor of 2 in common. (2)(12)/12 gives us the least common LCM (least common multiple) of 12.

The 11 figures do NOT belong with the other three figures. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

If all the sides of the polygon are congruent, then the polygon will be known as a regular polygon.

In a trapezoid, the length of all the sides is not congruent. Then the trapezoid (11) figures do NOT belong with the other three figures.

Then the correct option is B.

More about the polygon link is given below.

https://brainly.com/question/17756657

#SPJ2

Answer: Below

Step-by-step explanation:

Angles 1, 3, 5, 7 are 120 degrees.

Angles 4, 2, 8, 6 are 60 degrees.

angles 10, 12, 13, 15 are 70 degrees.
Angles 9, 11, 16, 14, are 110 degrees.
angle 17 is 50 degrees.

Answer:

No

Step-by-step explanation:

So, you can use the distributive property.

1/2(6x)=3x

1/2(-2)=-1

It is 3x-1, not 3-x

Answer:

13 / 8 in

Step-by-step explanation:

Longest ( 1 7/8)  - shortest ( 2/8) = 13/8 in

a) Substitute t = 2 into the formula

= 600e^0.1(2)

= 600e^0.2

= 732.84 million

Therefore, 732.84 million bacteria are present after 2 days

b) Substituting t = 4 days we get

= 600e^0.1(4)

= 600e0.4

= 895.09 million

Hence, 895.09 million bacteria are present after 4 days

c) 2 weeks = 14 days

Substituting t = 14 days we get

= 600e^0.1(14)

= 600e^0.4

= 2433.12 million

Thus, 2433.12 million bacteria are present after 2 weeks

Answer: 6

Step-by-step explanation:

I believe it is 6

Simplify the expression.

149x

hope this is what your looking for

The fraction of total interest owed after the fifth month of a 12-month loan is 64.1%

From the question, we have the following parameters

After the fifth month, the equation of the numerator is:

Numerator = (1+11)+(1+10)+(1+9)+(1+8)+(1+7)

Numerator = 50

The equation of the denominator is:

Denominator = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12

Denominator = 78

The fraction of total interest is then calculated using:

Fraction = Numerator/Denominator

This gives

Fraction = 50/78

Express as percentage

Fraction = 64.1%

Hence, the fraction of total interest owed after the fifth month of a 12-month loan is 64.1%

Read more about loan and interest at:

https://brainly.com/question/15301789

The measure of AB and EF for the similar triangle ABC and DEF are 4 and 12 respectively.

Similar triangles are triangles that have the same shape, but their sizes may vary.

In similar triangles, corresponding sides are always in the same ratio. The angles are congruent.

ΔABC is similar to ΔDEF. Therefore, the sides will form a ratio.

AC / DF = BC / EF = AB/DE

AC = 10

DF = 20

DE = 8

BC = 6

Hence,

10 / 20 = AB / 8

cross multiply

20AB = 80

AB = 80 / 20

AB = 4

Hence,

10 / 20 = 6 / EF

10EF = 120

EF = 120 / 10

EF = 12

learn more on similar triangle here: https://brainly.com/question/11943039

Answer:

b

Step-by-step explanation:

beacaause I know

Answer:

0

Step-by-step explanation:

xy means x×y

Anything multiplied by 0 is 0.

So 2×0 = 0

Hope this helped and brainliest please.

Answer:

the population will be 1,540,000 in 7 yrs

Answer: 377041.34

Step-by-step explanation: if it is growing 8 percent then you will add 8 percent to 100 which will equal 108 percent

Plug that into a calculator with the starting number so it wil look like 108% 220,000 and if you do that seven times you will get the answer.

Answer:

D. Point D

Step-by-step explanation:

4.82 is close to 5 so D is right A and B are not even close. C is a little to close to 4.5 to be 4.82. But D looks like it could be 4.82 to though so D is right.

Answer:

[tex]\tan \theta ~~ \text{and}~~ \tan( \pi - \theta)[/tex]

Step-by-step explanation:

[tex]\textbf{A)}\\\\-\tan \dfrac{3 \pi}4 = - \tan\left(2 \times \dfrac{\pi}2 - \dfrac{\pi}4 \right) = - \left(- \tan \dfrac{ \pi}4 \right) = \tan \dfrac{\pi}4\\\\\textbf{These pairs are equal.}\\\\\\ \textbf{B)}\\\\\tan \left( \dfrac{5 \pi}4 \right) = \tan \left( 2 \times \dfrac{\pi}2 + \dfrac{\pi}4\right) = \tan \dfrac{\pi}4\\\\\textbf{These pairs are equal.}\\\\ \textbf{C)}\\\\\tan \dfrac{\pi}2= - \tan 90^{\circ} = \infty\\\\\\\textbf{These pairs are equal.}\\\\\\ \textbf{D)}\\\\[/tex]

[tex]\tan ( \pi - \theta ) = - \tan \theta \neq \tan \theta\\\\\textbf{These pairs are not equal.}[/tex]

Answer:4/9 We know, Probability = Favorable Outcome / Total Outcome

Here, Favorable Outcome (Number of Green Marbles) = 8

Total Outcome = 6 + 4 + 8 = 18

P = 8 /18 = 4/9

In short, Your Answer would be 4/9 or 0.44

Hope this helps!

Answer:

Area of rectangle = 65/8 yd²

Step-by-step explanation:

The area of the rectangle is the length multiplied by the width. In this case, we are given the length 3 1/4 yd and the width 2 1/2 yd wide. Therefore,

        ⇒ Area of rectangle = (L × B) = (3 1/4 × 2 1/2) yd²

It is suggested to convert the terms in the expression (3 1/4 × 2 1/2) to improper fraction. Therefore,

        ⇒ Area of rectangle = [(3 × 4) + 1]/4 × [(2 × 2) + 1]/2 yd²

        ⇒ Area of rectangle = [(12) + 1]/4 × [(4) + 1]/2 yd²

        ⇒ Area of rectangle = [13]/4 × [5]/2 yd²

        ⇒ Area of rectangle = 13/4 × 5/2 yd²

Simplify the expression on the right hand side to determine the area.

        ⇒ Area of rectangle = 65/8 yd²

Thus, the area of the rectangle is 65/8 yd².

Answer:

39⁰

Step-by-step explanation:

WE KNOW THAT,

SUM OF ALL ANGLES OF A TRIANGLE IS EQUAL TO 180⁰

P+Q+R=180⁰

2x⁰-9⁰+x⁰+33⁰+x⁰=180⁰

4x⁰+24⁰=180⁰

4x=180⁰-24⁰=156⁰

x=39⁰

Answer:

○ [tex]\displaystyle (x - 4)^2 + (y + 2)^2 = 25[/tex]

Explanation:

Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 4^2 + 3^2 = r^2 \hookrightarrow 16 + 9 = r^2 \hookrightarrow \sqrt{25} = \sqrt{r^2} \\ \\ \boxed{5 = r}[/tex]

Sinse we are dealing with length, we only desire the NON-NEGATIVE root.

Distanse Equation

[tex] \displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-7 + 4]^2 + [-2 - 2]^2} = r \hookrightarrow \sqrt{[-3]^2 + [-4]^2} = r \hookrightarrow \sqrt{9 + 16} = r; \sqrt{25} = r \\ \\ \boxed{5 = r}[/tex]

Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.

Answer:

V = 8.5 cubic units

Step-by-step explanation:

[tex]2\frac{1}{8} =\frac{16+1}{8} =\frac{17}{8}[/tex]

[tex]V=4(\frac{17}{8} )=\frac{68}{8} =\frac{17}{2}= 8.5u^{3}[/tex]

Hope this helps

[tex]5(4m+2)\\\\=20m+10[/tex]

Answer:

  $18.06

Step-by-step explanation:

The price the pawn shop charged for the DVD player was 40% more than what it paid, so was ...

  $12.00 + $12.00 × 0.40 = $12.00×(1 +0.40) = $16.80

__

The tax on the purchase is this price multiplied by the tax rate:

  tax = 0.075×$16.80 = $1.26

__

Then the total including tax is ...

  $16.80 +1.26 = $18.06 . . . . . total cost of the DVD player