the base of the rectangular prism is shaded what is the lateral surface area ( show work pls )

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The easiest way to determine the sine, cosine, and tangent of a number is to utilize the calculator, which we are asked to do.

cos (89) = 0.017

sin (17) = 0.29

tan (35) = 0.700

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The interval of times which represents the middle 68% of Ryan's finishing times in the 400 meter race, using the empirical rule, is 74.5 seconds to 75.5 seconds.

According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.

[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]

Here we had  where mean of distribution of X is [tex]\mu[/tex]  and standard deviation from mean of distribution of X is [tex]\sigma[/tex].

When Ryan runs the 400 meter dash, his finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 0.5 seconds.

The interval of times that represents the middle 68% of his finishing times in the 400 meter race is,

[tex]P(75 - 0.5 < X < 75 + 0.5) = 68\%\\P(74.5 < X < 75.5) = 68\%[/tex]

Thus. the interval of times which represents the middle 68% of Ryan's finishing times in the 400 meter race, using the empirical rule, is 74.5 seconds to 75.5 seconds.

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System of equations are equations that is more than one and have two or more unknowns. The solution to the given system of equation is expressed as (0, 2)

System of equations are equations that is more than one and have two or more unknowns.

Given the simultaneous equation

m + 4n = 8

m = n - 2

Substitute equation 2 into 1 to have:

n - 2 + 4n = 8

5n - 2  = 8

5n = 10

n = 2

Recall that m = n - 2

m = 2 - 2

m = 0

Hence the solution to the given system of equation is expressed as (0, 2)

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Answer:

1 time they will only cross 1 time

Answer:

one, in a linear equation a line will only cross the x-axis and y-axis once.

Answer:

4 ^3√7m^2

Step-by-step explanation:

^3√64×7m^2

^3√4^3×7m^3

^3√4^3 3^√7m^2

= 4^3√7m^2

Answer:

[tex] \boxed{ \tt = 4 \sqrt[3]{7m {}^{2} } }[/tex]

Step-by-step explanation:

Given,

[tex] \sqrt[3]{448m {}^{2} } [/tex]

Solution:

[tex] = \sqrt{4 {}^{3 } \times 7 \: m {}^{2} } [/tex]

[tex] \tt = 4 \sqrt[3]{7m {}^{2} } [/tex]

[tex] \rule{225pt}{2pt}[/tex]

Answer:

Given a figure that is broken into a rectangle and triangle.

The dimensions of the rectangle are:

Base : 5 ft

Height : 1/3 ft

The dimensions of the triangle are :

Base : 3 upon 2/3 ft

Height : 2 ft

The area of the figure calculated below :-

Area of rectangle + Area of triangle

Area of rectangle + Area of triangleLB + 1/2BH

(5×1/3) + (1/3+3upon2/3×2)

The result is simplified below :-

5/3+11/3

5+11/3

16/3 ft

51/3 ft square.

The area of the figure is 5 and one third square feet.

Answer:

5 1/3

Step-by-step explanation:

In order to make a the subject of this equation , we need to get a by itself .

The current equation is :

v = u + at

Subtract u on both sides :

v-u=at

Now, divide by t on both sides :

v-u/t=a

[tex]\boxed{\\\begin{minipage}{3cm}Equation \\ a=$\displaystyle\frac{v-u}{t} $ \\ \end{minipage}}[/tex]

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Answer:

The boat is 26 mi far from dock .

Step-by-step explanation:

By using PGT

P²+B² = H²

=> 10² + 24² = c²

=> 100 + 576 = c²

=> 676 = c²

=> √676 = c

=> 26 = c

Answer:

26 miles

Step-by-step explanation:

We can use Pythagorean's Theorem for right triangles which states that:

[tex]a^2+b^2=c^2[/tex]

The values 'a' and 'b' are the shorter sides of the triangle, while the value 'c' is the longest side of the triangle. We are given the two shorter sides 'a' and 'b', so let's now find 'c':

[tex](24mi)^2+(10mi)^2=c^2[/tex]

[tex]576mi^2+100mi^2=c^2[/tex]

[tex]c^2=676mi^2[/tex]

[tex]c=\sqrt{676mi^2}[/tex]

[tex]c=26mi[/tex]

The inverse of the function is f ( x )⁻¹ = x + 4

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = x - 4   be equation (1)

On simplifying , we get

The inverse of the function is given by replacing x with y

So , the value of the function is

y = x - 4

x = y + 4

On interchanging , we get

f ( x )⁻¹ = x + 4

Hence , the inverse is f ( x )⁻¹ = x + 4

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Answer:

225 miles

Step-by-step explanation:

(15)(15)=225

Hope this helps

Answer:

4^4=4*4*4*16*16=256

Step-by-step explanation:

Answer:

4^4 =16

Step-by-step explanation:

4^4 = 4 · 4

they are both the same thing

4 + 4+4+4 = 16

Answer:

1 second

Step-by-step explanation:

[tex]s=-5\\u=0\\v=\\a=-10\\t=t[/tex]

[tex]\begin{aligned}\textsf{Using} \quad s & =ut+\dfrac12at^2\\ \implies -5 & =(0)t+\dfrac12(-10)t^2\\ -5 & = -5t^2\\ t^2& = 1\\ t & = \pm\sqrt{1}\\ t & = 1\: \sf s\end{aligned}[/tex]

Answer:

what is it asking?

Step-by-step explanation:

if its how many cubes it needs for it to fill up its 9

Answer: $126

Step-by-step explanation: 30/100 × 420/1

Answer:

$10.60

Step-by-step explanation:

6.8% = .068

.068 x 9.95

0.64675

since this is money

$.65

$9.95 + $.65

$10.60

Answer:

D

Step-by-step explanation:

1/5 = 20%

3/10 = 30%

15%<35%

30%<35%

20%<35%

Answer:

This would be a statistical question.

Step-by-step explanation:

Answer:

the numbers are -5 and 3

Step-by-step explanation:

First of all, the question is asking you to find the values of x from the given inequalities.

-8x -19<21 and 3x - 4 < 5

group all liked terms, in other words, make x and its coefficient stand alone.

-8x < 21 + 19 and 3x < 5 + 4

-19 became +19 because it crossed the sign <, also -4 became +4 because it crossed the sign <.

so we get

-8x < 40 and 3x < 9

we divide each "x" by its coefficient

[tex] \frac{ - 8x}{ - 8} < \frac{40}{ - 8} \: and \: \frac{3x}{3} < \frac{9}{3} [/tex]

then we get

x < -5 and x < 3

but x is positive so it's greater than -5 so we get

x > -5 and x < 3

Answer:

He was 11

Step-by-step explanation:

if Camila was 4 years younger than her brother and she was seven. That means he is 4 years older than her. so 7+4=11

Answer:

y = negative 5 x + 4

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

Translation

Step-by-step explanation:

Translation as the x and y are both being moved over the plane.

Answer:

Assuming that the circle bissects the triangles equal sides at their midpoints, the ratio of the larger to smaller triangle should be close to 1/3

Answer:

Jill had $250 in her paycheck

Step-by-step explanation:

150+12.49+28.89+12.95

+44.67=249 technically not 250 but its the closest answer.

Answer:

$15

Step-by-step explanation:

60/4 = 15

Answer: ( -1, 5 )

Step-by-step explanation: Reflection across the x axis only flips the sign of the y axis

Answer:

y=40/183x

Step-by-step explanation:

y = Rise/Run multiplied plus y intercept by x or Y= mx + b

There is no b

m = 40/183

Y = 40/183x

A = -4

B = -1

C = 3

hope this helped!

There are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items.  

The number of the possible ways will be calculated by:

[tex]=2 ^{28}C_2+^{28}C_4[/tex]

[tex]=\dfrac{28\times 27}{2}+\dfrac{28\times 27\times 26\times 25}{4\times 3\times 2}[/tex]

[tex]=756+28853[/tex]

[tex]=21231[/tex]

Hence there are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.

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