A rectangular prism is 6.9 centimeters long and 1 centimeter wide. It’s volume is 21.39 cubic centimeters. What is the height of the rectangular prism? (will mark brainliest)

answer : -40/41

steps:

soh cah toa

sin is soh

meaning opposite/hypotenuse

opposite is 9 and

hypotenuse is 41

now you can treat it like a triangle and use the pythagorean theorem

a^2 + 9^2 = 41^2

a^2 + 81 = 1681

a^2 = 1600

a = 40

in soh cah toa

cos is adjacent/hypotenuse so

cos is 40/41

its in quadrant 2 so its negative

-40/41

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Answer: $32

Step-by-step explanation:

Parallel lines are lines which are equidistant to each other long every point on both lines.

A line is said to be perpendicular if it crosses another line at exactly 90°. Hence, as depicted in the image attached, TZ is perpendicular to RS.

It is important to note that perpendicular lines always bisect one another and that the slopes of lines that are perpendicular are negative of each other and reciprocals.

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Answer:

5*4= 20

Step-by-step explanation:

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

4*5 = 20

We can change to order and the result is still the same

5*4= 20

Answer:

so just think of it as you drawing circles with the number of shapes in each one like 4x6=24 draw 6 big circles and 4 squares in each one or in this case do it with 4x5

Step-by-step explanation:

Answer:

use half-life formula!

Step-by-step explanation:

for exponential word problems, lots of them use the half life formula.

hope this helps :)

Answer:

C  28

Step-by-step explanation:

:)

Answer:

It will become 64 times larger

Step-by-step explanation:

Answer:

Not sure if you still want the answers but here you go

Step-by-step explanation:

Noah's mean: 87

Noah's median: 85.5

Noah's mode: 85

Gabriel's mean: 87.17

Gabriel's median: 86

Gabriel's mode: 86

Answer:

What are Noah’s mean, median, and mode?

✔ 87, 85.5, 85

What are Gabriel’s mean, median, and mode?

✔ 87.17, 86, 86

Step-by-step explanation:

just did it they are correct

Answer:

19.61505096...

Step-by-step explanation:

Area in a circle is pi(ratio)squared

Circumference is pi multiplied by diameter

Ratio is half of diameter

15.7 divided by pi is roughly 5 (4.997465213 to be exact)

Half of 5 is 2.5

pi(2.5)squared is 19.61505096...

Answer:

The speed i total is 750 meters per second

Step-by-step explanation:

9000/12 = 750

Answer:

The right angles are B,D,E,and F

The equation y = 2x + 3 is a linear equation, and the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0

The equation is given as:

y = 2x + 3

Subtract 3 from both sides

y - 3 = 2x

Subtract 2x from both sides

y - 3 - 2x = 0

The above means that the equation y - 3 - 2x = 0 is equal to the equation  y = 2x + 3

Hence, the equivalent equation of y = 2x + 3 is y - 3 - 2x = 0

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Answer:

C

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we know in our case

b(b+12) = 189 cm²

b² + 12b - 189 = 0

let's try to solve this by completing the square.

that means we try to find the expression

(b + k)² + c

that is equal to

b² + 12b - 189

(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189

so,

2k = 12

k = 6

and then

k² + c = -189

6² + c = -189

36 + c = -189

c = -225

(b + 6)² - 225 = 0

(b + 6)² = 225

b + 6 = 15

b = 9

so, the baseline b = 9 cm.

the height b+12 = 9+12 = 21 cm.

Answer:

All integers are rational numbers .

Step-by-step explanation:

please mark as branliest

Answer:

sum of terms: 55550

Explanation:

[tex]\sf S_n = \dfrac{n}{2} (u_{start}+u_{end}})[/tex]

Here the number of terms:

1100 ÷ 11 = 100

Using the Formula:

[tex]\sf \dfrac{100}{2} (11+1100)[/tex]

[tex]\sf 55550[/tex]

Using it's concept, it is found that the functions that have a greater y-intercept than g(x) = |x + 3| + 4 are given as follows:

It is the value of the function when the input is of zero, that is, f(0).

For g(x) = |x + 3| + 4, we have that g(0) = 7. As for the other functions, we have that:

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Answer:

[tex] 3 < x \leqslant - 1[/tex]

Explanation:

the point on the left is closed with the line going to the right so it is greater than or equal to x

[tex] - 1 \geqslant x[/tex]

and the point on the right is open with the line going to the right so it is less than x

[tex]3 < x[/tex]

The surface area of the square pyramid will be 105768.98 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of anybody is called the surface area.

Given that:-

The surface area of the pyramid will be:-

[tex]SA\ = \ a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}}[/tex]

SA  =  48400 + 440 √17000

SA  =   48400  +  57368

SA  =   105768.98  square meters

Therefore the surface area of the square pyramid will be 105768.98 square meters.

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The value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex] if cos(x) = -3/10 and the angle is in the second quadrant i.e. quadrant II

The expression is given as:

cos(x) = -3/10

Using the following trigonometry identity:

sin²(x) + cos²(x) = 1

The equation become

sin²(x) + (-3/10)² = 1

Evaluate the exponent

sin²(x) + 9/100 = 1

Subtract 9/100 from both sides

sin²(x)  = 91/100

Take the square root of both sides

[tex]\sin(x) = \frac{\sqrt{91}}{10}[/tex]

Sine is positive in quadrant II.

So, the tangent is calculated using:

[tex]\tan(x) = \sin(x) \div \cos(x)[/tex]

This gives

[tex]\tan(x) = \frac{\sqrt{91}}{10} \div -\frac{3}{10}[/tex]

Evaluate

[tex]\tan(x) = -\frac{\sqrt{91}}{3}[/tex]

Hence, the value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex]

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Answer:

h ÷ 4.2

Step-by-step explanation:

Answer:

The incenter....

Step-by-step explanation:

The point at which all three of the angle bisectors of a triangle meet is known as the incenter

dont confuse it with the circumcenter and the centroid.

i hope this helps!!!

Answer:

x ≈ 17.5

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

x² = 9² + 15² = 81 + 225 = 306 ( take square root of both sides )

x = [tex]\sqrt{306}[/tex] ≈ 17.5 ( to the nearest tenth )

Answer:

2ft 2ft

Step-by-step explanation:

2ft,2ft,2ft,2ft

Answer:

answer is 151.3575 dollars.

Linear function : y = x + 4

Exponential function : y = 4.5 e^(0.144 x)

Power function : y = 4.5 x^0.415