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1 year ago

9

Box A is 567 inches high, 678 inches wide, and 789 inches long. It has a maximum capacity of 1,200 marbles, Box B has three time

s the height, four times the width, and the same length as Box A. What is the maximum capacity of Box B?

1 answer:

kotykmax [81]1 year ago

3 0

Answer:

1701 high

2712 wide

789 long

= 4413

Step-by-step explanation:

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Aramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet, as shown in the figure.

bonufazy [111]

Answer:

The ratio of Tan B is

$\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}$

OR

$\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}$

Step-by-step explanation:

In Right Angle Triangle ABC

angle C = 90°

AB = Ramp = 17 feet

BC =Horizontal distance = 15 feet

AC = Height from floor = 8 feet

To Find:

Ratio of Tan B = ?

Solution:

In Right Angle Triangle ABC By Tangent Identity we have

$\tan B= \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}$

Substituting the given values we get

$\tan B= \dfrac{AC}{BC}=\dfrac{8}{15}$

OR

$\tan A= \dfrac{BC}{AC}=\dfrac{15}{8}$

5 0

2 years ago

At a particular restaurant, each chicken wing has 80 calories and each

dexar [7]

Answer:

4 Sliders 2 chicken wings

Step-by-step explanation:

4x300=1200 2x80=160

6 0

1 year ago

Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9. Write the division problem

Sveta_85 [38]

Answer:

The required division problem he must solve is:

$\frac{2}{3} \div \frac{-3}{8} =\frac{2}{3}\times\frac{-8}{3}=\frac{-16}{9}$

Step-by-step explanation:

Consider the provided information.

Martin chose two of the cards below. When he found the quotient of the numbers, his answer was -16/9.

As we know that the quotient of the number is a negative number.

Therefore, the sign of both numbers must be different,

Thus we can concluded he must select $\frac{2}{3}$ as one of the card, so that product is a negative number.

Let the selected card be x.

$\frac{2}{3} \div x =\frac{-16}{9}\\\\x=\frac{2}{3}\div\frac{-16}{9}\\\\x=\frac{2}{3}\times\frac{-9}{16}\\\\x=\frac{-3}{8}$

Hence, the two cards should be $\frac{2}{3}$ and $\frac{-3}{8}$

The required division problem he must solve is:

$\frac{2}{3} \div \frac{-3}{8} =\frac{2}{3}\times\frac{-8}{3}=\frac{-16}{9}$

3 0

1 year ago

In a certain town, 60 families own tv sets, 85 own scooters, 70th own refrigerators, and 95 own radio sets. One hundred and thir

Black_prince [1.1K]

Answer:

310

Step-by-step explanation:

The maximum possible number is obtained when each family owns one appliance only. That total is ...

60 + 85 +70 +95 = 310

The maximum possible number of families is 310.

5 0

2 years ago

James is four years younger than Austin. If three times James' age is increased by the square of Austin's age, the result is 28.

lara31 [8.8K]

Let's use J for James's age and A for Austin's age. The equations are:

J = A - 4
3J + A² = 28

Just plug (A - 4) in the place of J in the second equation. This gives you:

3(A - 4) + A² = 28
-->
A² + 3A - 12 = 28
-->
A² + 3A - 40 = 0
-->
(A - 5)(A + 8) = 0
-->
A = 5 or -8

-8 is nonsense, so Austin is 5 years old. Therefore, James is 1 year old.

7 0

1 year ago