A triangular prism. The rectangular sides are 6 centimeters by 10 centimeters, 10 centimeters by 5 centimeters, and 10 centimeters by 5 centimeters. The 2 triangular bases have a base of 6 centimeters and height of 4 centimeters.

What is the surface area of the triangular prism shown?

32 square centimeters
120 square centimeters
184 square centimeters
1,560 square centimeters

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Answer:

B 37.5%

Step-by-step explanation:

Answer:

16.33 km

Step-by-step explanation:

The square length of hypotenuse is equal to the sum of two legs' square value:

|HI|^2 + |JI|^2 = |HJ|^2

|HI|^2 + (24.28)^2 = (29.26)^2

|HI|^2 + 589,5184 = 856,1476 (these are full values and will be easier to calculate with a calculator, if not we can use the approximate values: 589,5 and 856,1)

subtract 589,5184 from both sides

|HI|^2 = 266,5636 find the root of boths sides

HI = 16.33 approximately

The base HI of the right triangle is approximately 16.26 km.

Given is a right triangle with perpendicular JI = 24.28 km and hypotenuse HJ = 29.26 km we need to find the base HI.

To find the base HI of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's denote the base HI as x.

According to the Pythagorean theorem:

HJ² = JI² + HI²

Substituting the given values:

(29.26 km)² = (24.28 km)² + x²

Simplifying the equation:

855.4276 km² = 590.7584 km² + x²

264.6692 km² = x²

To find x, we take the square root of both sides:

x = √(264.6692 km²)

Calculating the value:

x ≈ 16.26 km

Therefore, the base HI of the right triangle is approximately 16.26 km.

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[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&65\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&6\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+65t+6[/tex]

Check the picture below, the maximum occurs at the vertex of the parabolic path, so

[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+65}t\stackrel{\stackrel{c}{\downarrow }}{+6} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]

[tex]\left(-\cfrac{ 65}{2(-16)}~~~~ ,~~~~ 6-\cfrac{ (65)^2}{4(-16)}\right)\implies \left(\cfrac{65}{32}~~,~~6+\cfrac{4225}{32} \right) \\\\\\ \left(\cfrac{65}{32}~~,~~\cfrac{4609}{32} \right) \implies \stackrel{maximum~height}{(2.03125~~,~~\stackrel{\downarrow }{72.015625})}[/tex]

Answer:

The answer is given in the picture

Answer:

31.4 m

Step-by-step explanation:

The formula for the circumference of a circle is c=dπ, so we can substitute our diameter and 3.14 for pi.
c=(10)(3.14)

c=31.4

So the diameter is 31.4 meters.

Answer:

Step-by-step explanation:

First Step:

Parentheses,

7 + 5 = 12

Divide,

12 / 3 = 4

Add,

4 + 3 = 7

Multiply,

10 x 7 = 70

Answer is 70!!

hope this helps

Answer:

144

Step-by-step explanation:

A=BH

your base is 9 and your height is 16. 16 times 9= 144. Hope this helps :)

Answer:

a) the product is equal to 953.

b) the product is greater than 443.

c) the product is greater than 181.

Step-by-step explanation:

a) 953 × 63/63 = 953

Therefore, the product is equal to 953.

b) 443 × 86/79 = 482.25

Therefore, the product is greater than 443.

c) 181 × 30/28 = 193.93

Therefore, the product is greater than 181.

Hope this helps =)

Answer:

Tax = $7.36

Step-by-step explanation:

[tex]tax=92(\frac{8}{100} )=92(0.08)=7.36[/tex]

Hope this helps

Answer:

7.36$ tax.

When finding the whole amount of dollars to the percentage, multiply the whole number(92) by the tax percentage(0.08) which is a decimal for this case.

[tex]92 * 0.08 = 7.36\[/tex]

Optionally, find the tax plus the whole number.

[tex]92 + 7.36 = 99.36\[/tex]

__________________________________________________________

Ask in comments.

Answer:

I don't think it would be called bias, it's just asking for an opinion if a state can kill a person if they break the law.

Answer:

? = 14.48

Step-by-step explanation:

This is a right triangle so you can use trigonometry.

since you know the opposite and hypotenuse sides, use sin.

sin(?) = opposite/hypotenuse = 4/16 = 1/4

? = arcsin(1/4)

? = 14.48

Answer:

Option C

Step-by-step explanation:

[tex]\boxed{Log \ \dfrac{a}{b}=log \ a - log \ b}\\\\\boxed{(log \ a)^b=b*log \ a}[/tex]

[tex]\sf log_w \ \dfrac{(x^{2}-6)^4}{\sqrt[3]{x^2+8} }=log_w \ (x^2-6)^4 - log_w(x^2+8)^{\frac{1}{3}}[/tex]

                       [tex]\sf = 4*log_w \ (x^2 -6) - \dfrac{1}{3}log_w \ (x^2 + 8)[/tex]

There are 288  outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time.

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

The outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time.

The number of  outcomes is created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time is;

[tex]\rm Outcome=4\times 6\times 12\\\\Outcomes =288[/tex]

Hence, there are 288  outcomes are created by rolling a 4-sided die, 6-sided die, and a 12-sided die at the same time.

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Answer:

9

Step-by-step explanation:

To solve this expression, we need to follow the BODMAS. The BODMAS states that to simplify the expression in the parenthesis first. Then, divide or multiply if possible. Lastly, add or subtract if possible.

The BODMAS states that:

             Expression                                                     BODMAS                  

Therefore, the value of the expression is 9.

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Answer: B

Step-by-step explanation:

#1

Not divide we multiply

#2

Yes

#3

Yes it's reverse of first one

Answer:

False

True

True

Step-by-step explanation:

[tex]\textsf{Product Rule}:\quad \log_n(x)+\log_n(y)=\log_n(xy)[/tex]

When condensing a logarithm using the product rule, you combine the answers by multiplying them.

[tex]\textsf{Power Rule}:\quad a \log_n(x)=\log_n(x)^a[/tex]

When condensing a logarithm using the power rule, you move the front number to become the exponent on the log.

[tex]\textsf{Quotient Rule}:\quad \log_n(x)+\log_n(y)=\log_n\left(\dfrac{x}{y}\right)[/tex]

When condensing a logarithm using the the quotient rule, you combine the answers by dividing them.

Answer:

It's 13<26

Step-by-step explanation:

Answer:

Shown division using an area model above, Yes, shown 24 ÷ 4 with one rectangle above. Question 2. Answer: Shown division using an array as shown above, 25 ÷ 4 = Quotient = 6 and Remainder = 1, Shown division using an area model above, Yes, shown 25 ÷ 4 with one rectangle above and showed

Answer:

12x - y

Step-by-step explanation:

14x - (2x + y) ← distribute parenthesis by - 1

= 14x - 2x - y ← collect like terms

= 12x - y

Answer:

12x - y

Step-by-step explanation:

14x -(2x +y)

14x -2x -y

12x -y

Answer:

96 in²

Step-by-step explanation:

I took the test :)

Answer:

96 in² for K12

Answer:

Your right, it's D.

Step-by-step explanation:

Using the combination formula, it is found that such a committee can be formed in 342,700,125,300 ways.

The order in which the people are selected is not important, hence, the combination formula is used to solve this question.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 11 people are taken from a set of 60, hence:

[tex]C_{60,11} = \frac{60!}{11!49!} = 342700125300[/tex]

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Answer:

9cm and 2cm

Step-by-step explanation:

∴ They're similar triangles.

∴ [tex]\frac{a}{3}[/tex]= [tex]\frac{6}{b}[/tex] = [tex]\frac{3}{1}[/tex]

∴ a = 9cm

∴ b = 2cm

Answer:

Harper is 17 and Cadence is 44.

Step-by-step explanation:

First, we can set up an equation to displays the sum of both ages.

Let x = Harper's age and y = Cadence's age

x+y=61

8 years ago, this means the sum will decrease by a total of 16 as we have to subtract 8 from both variables

The equation to represent 8 years ago is: x+y=45

Now we can write another equation to represent Cadence being 4 times older than Harper (8 years ago)

y=4x

We can substitute this back into the equation we had for the ages 8 years ago.

x+(4x) = 45

5x=45

x=9

Now, Harper's age 8 years ago is 9 years old. We add 8 to this number to determine that Harper is currently 17 years old.

We can insert this into the original equation to determine Cadence's age.

17+y=61

y=44

Thus, Cadence is currently 44 years old

The amount of money that Romania’s imports are worth is equal to: C. $76.17 billion.

Given the following data:

Exports tariff = 6% = 0.06.

Imports tariff = 21% = 0.21.

Trade deficit = $26.76 billion.

Tariff revenue = $18.9603 billion.

In order to determine how much Romania’s imports are worth, we would write a mathematical expression for the total tariff revenue and trade deficit as follows:

0.06E - 0.21I = 18.9603    .....total tariff revenue (eqn. 1).

I - E = 26.76                       .....trade deficit (eqn. 2).

From eqn. 2, we have:

E = I - 26.76     ..equation 3.

Substituting eqn. 3 into eqn. 1, we have:

0.06(I - 26.76) - 0.21I = 18.9603

0.06I - 1.6056 - 0.21I = 18.9603

0.27I = 18.9603 + 1.6056

0.27I = 20.5659

I = 20.5659/0.27

I = $76.17 billion.

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Answer:

The answer is B. 1/2

Step-by-step explanation:

You want to role a number less than 4 so you want 1,2,3 at least.

A dice has 6 numbers, 1-6.

So 3/6 = 1/2 making it a 50% change of you getting either 1,2,3.

Answer:

7/8

Step-by-step explanation:

I took the test

The total weight of the dog toys that weighed 1/8 of a pound or 3/8 of a pound is 7/8.

Let we have to add two fractions:

[tex]\dfrac{a_1}{b_1} + \dfrac{a_2}{b_2}[/tex]

Then we will find the Lowest Common Multiple (LCM) of   b_1 and

b_2. That will help to make the denominate or same.

Once the denominators become the same, the numerators can add up directly, giving us the final result of the addition.

According to the line plot;

The total weight of the dog toys that weighed 1/8 of a pound or 3/8 of a pound

= 3/8 + 3/8 + 1/8

=7/8

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Answer:

$1440

Step-by-step explanation:

It's kind of obvious, 8 x 180 = 1440