The surface area of the triangular prism is?

A. 540 Square Meters

B. 552 Square Meters

C. 576 Square Meters

D. 624 Square Meters

Final answer:

The westernmost capital of the southeast is Little Rock, Arkansas.

Explanation:

The westernmost capital of the southeast is Little Rock, Arkansas. Little Rock is the capital city of the state of Arkansas, which is located in the southeastern region of the United States.

Arkansas is considered part of the southeast region due to its geographic location and cultural similarities to other states in the region. Little Rock is located on the westernmost edge of the state, making it the westernmost capital city among the states of the southeast.

Other capitals in the southeast include Atlanta, Georgia; Columbia, South Carolina; Tallahassee, Florida; and Nashville, Tennessee.

The answer for this problem is 2/3

The hours of jazz are on Ivan's MP3 player, if Ivan has 4 hours of Music on his MP3 player is 2/3 or 0.7 hours.

Only verbal descriptions of a portion of the whole were used to write fractions in ancient Rome. The numerator and denominator of fractions are first written in India with one number above the other but without a line. The line used to divide the numerator and the denominator were only added by Arabs.

Given:

Ivan has 4 hours of Music on his MP3 player,

jazz makes up 1/6 of the total time,

Calculate the hours of jazz on Ivan's MP3 player as shown below,

The hours of jazz are on Ivan's MP3 player = 1 / 6 of the total time

The hours of jazz are on Ivan's MP3 player =  1 / 6 × 4 hours

The hours of jazz are on Ivan's MP3 player = 4 / 6

The hours of jazz are on Ivan's MP3 player = 2 / 3

Thus, the time of jazz is 2 / 3 or 0.7 hours.

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Answer:

Solution given:

Over here

x°+90°+61°=180° being a linear pair is used

Answer:

If two secant segments intersect outside a circle, then the product of one secant segment with its external portion equals the product of the other secant segment with its external portion. So we have:

10(10) = 5(3x + 5)

100 = 15x + 25

15x = 75

x = 5

Answer:

The outlier is:

(8,35)

Step-by-step explanation:

We know that outlier of a data is the data point that stands out as compared to rest of the data point i.e. it either takes a too high or too low value as compared to other data points.

Clearly from the table given in the ques we see that the data points attains a value in the interval 60-75.

Hence, the data point that is an outlier is:

(8,35)

since 35 is a too low value as compared to others.

The problem statement is about the estimation of error in computation, here we will be presented with two values, the actual and the estimated value.

The present error in Irene’s measurement is 11.1%

Given data

Actual value = 40 inch

Estimate value = 45 inch

The formula for calculating the percent error is given as

Percent error = (Actual - Estimated/Estimated) *100

Percent error = (40 - 45/45) *100

Percent error = (-5/45) *100

Percent error = (-0.111) *100

Percent error = 11.1 %

Hence the percent error is 11.1%

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The curve has an equation containing the variables. The rate of change of any independent variable concerning the dependent variable is entitled as the slope of the tangent to the curve. Thus, the line does not describe the slope.

Slope can be defined as the ratio of the change in the value of the dependent variable to the change in the value of an independent variable.

Let us consider the equation of a line that is y=mx+c.

Here, m is the slope of the line and the value of m is y/x.

Following are the points that may describe the slope.

A line can never be a slope because the slope is always a numeric value and a line can always be an equation that contains variables.

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We have to find the sum of (7x-6y) and (x+y)

(7x-6y) and (x+y) are two Algebraic expressions

Sum of two algebraic expressions is also a algebraic expression

So, (7x - 6y) + (x+y) = 7x - 6y + x + y

= 7x + x + y - 6y

= x (7 + 1) + y - 6y

= 8x + y - 6y

= 8x + y ( 1 - 6 )

= 8x + y ( -5 )

= 8x - 5y

Hope this helps..!!

Thank you :)

[tex]\boxed{x=3\sqrt{3}}[/tex]

A right triangle is the one that has a 90° degree side. The hypotenuse is the largest side while the legs are the other two sides. The sketch for this problem is shown in the Figure below. To compute the other side, that is x, we must use the Pythagorean Theorem as follows:

[tex]H=\sqrt{Leg_{1}^2+Leg_{2}^2} \\ \\ \therefore H^2=Leg_{1}^2+Leg_{2}^2 \\ \\ Leg_{2}=\sqrt{H^2-Leg_{1}^2} \\ \\ x=\sqrt{14^2-13^2} \\ \\ \therefore \boxed{x=3\sqrt{3}}[/tex]

In mathematics, the principle of rounding instructs us to look at the decimal part . If it's .5 or higher, we round up; if it's less than .5, we round down. Hence, 312.501 rounded to the nearest whole number is 313.

The question pertains to the concept of rounding numbers. In mathematics, rounding means replacing a number with an approximate value that has a shorter, simpler, or more explicit representation. To round 312.501 to the nearest whole number, we look at the decimal part of the number. If the decimal is .5 or greater, we round up; if it's less than .5, we round down. In this case, the decimal part is .501, so we round up to the next whole number.

So, 312.501 rounded to the nearest whole number is D. 313.

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Answer:

21.5

Step-by-step explanation:

i took the quiz and had gotten it right

Answer:

Step-by-step explanation:

I did (1/2 divided by 12) and then I got 6 so I times it with 12.5 and got 75 then I times it by 7 to get 525