What is the volume of the triangular prism? *

Pleaseeeee answer

Answer:

4 1/3

Step-by-step explanation:

6-1 4/6

5 6/6-1 4/6

66-4/6=1/3

4+1/3

=4 1/3

Answer:

[tex]\sf 4\dfrac{1}{3}[/tex]

explanation:

[tex]\hookrightarrow \sf 6 - 1\dfrac{4}{6}[/tex]

turn mixed to improper fraction

[tex]\hookrightarrow \sf 6 - \dfrac{10}{6}[/tex]

make the denominators same

[tex]\hookrightarrow \sf \dfrac{6(6)}{6} - \dfrac{10}{6}[/tex]

expand

[tex]\hookrightarrow \sf \dfrac{36}{6} - \dfrac{10}{6}[/tex]

simplify, join both fractions together

[tex]\hookrightarrow \sf \dfrac{36-10}{6}[/tex]

simplify

[tex]\hookrightarrow \sf \dfrac{26}{6}[/tex]

[tex]\hookrightarrow \sf \dfrac{13}{3}[/tex]

change improper to mixed fraction

[tex]\hookrightarrow \sf 4\dfrac{1}{3}[/tex]

Answer:

24 m that is the answer to the question

The height of the cone is 24 meters.

Option A is the correct answer.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

We have,

The formula for the volume of a cone.

V = (1/3)πr²h

Where r is the radius of the base and h is the height.

The diameter of the cone = 12 m.

So,

The radius is half of the diameter:

r = 12/2

r = 6 m

Now,

The volume of the cone is 904 m³.

Substituting the known values into the formula.

904  = (1/3) × 3.14 × 6 x 6 × h

Simplifying the equation.

904 = 37.68 h

Dividing both sides by 37.68.

h = 23.99

h = 24

Therefore,

The height of the cone is 24 meters.

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Answer:

15 percent

Step-by-step explanation:

3/20 multiply the fraction by 5 to equal 100, thus creating 15/100

Considering the situation described, we have that:

At the null hypotheses, it is tested if the mean has not been reduced, that is, it still is of 5.2 hours, hence:

[tex]H_0: \mu = 5.2[/tex].

At the alternative hypothesis, it is tested if the mean has been reduced, that is, it is now of less than 5.2 hours, hence:

[tex]H_1: \mu < 5.2[/tex]

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Answer:

-3

Step-by-step explanation:

Changes y Divided by changes x

Answer:

The answer is 11,520 mm³

Step-by-step explanation:

Here proof

Answer: 11,520

Step-by-step explanation:

∆ area = 24*32=768/2 =384

Now multiply 384 by height 30=11,250³  

24*32*30/2 = 11 520 mm³

or

V=1/2bhl

11,250³  =1/2(24*32*30)=23040

             =1/2 or 0.5 * 23040= 11,250³  

Answer: it's = 1

Step-by-step explanation:

Answer:

Problem:

Nonoy sells newspaper in the morning. He gets Php 5 per newspaper sold and a Php 30 a day tip from the supplier. How much does he earn if he sells 30 newspapers in one day?

Given:

Php 5 per newspaper sold and a Php 30 a day tip from the supplier

Formula:

5 x 30 + 30 (tip from the supplier)

Solution:

5 x 30 = 150

150 + 30 tip from the supplier = 180

Final Answer:

180 pesos

Step-by-step explanation:

Answer:

f(x)= -5x-11

y= -5x-11

x= -5y-11

x+11= -5y

[tex]\frac{x=11}{-5} =y\\f-1=\frac{x+11}{-5}[/tex]

Step-by-step explanation:

Hope this helps.

Answer:

Approximately [tex]37\%[/tex].

Step-by-step explanation:

Let [tex]X[/tex] denote the machine that produced the item. Let [tex]Y[/tex] denote whether the item was defective or not. (Let [tex]Y = 1[/tex] if the item is defective and [tex]Y = 0[/tex] otherwise.)

The question is asking for the probability of the event [tex]X = B[/tex] (the selected item was produced by machine [tex]B[/tex]) given that [tex]Y = 1[/tex] (the selected item was defective.) This probability could be denoted as: [tex]P(X = B \; | \; Y = 1)[/tex].

Quantities given in this question are:

Apply Bayes' Theorem to express [tex]P(X = B \; | \; Y = 1)[/tex] in terms of these quantities. By Bayes' Theorem:

[tex]\begin{aligned} & P(X = B\; | \; Y = 1) \\ =\; & \frac{P(X = B\; \cap Y = 1)}{P(Y = 1)}\\ =\; & \frac{P(Y = 1\; |\; X = B)\, P(X = B)}{P(Y = 1)}\end{aligned}[/tex].

Find the value of [tex]P(Y = 1)[/tex] (probability that a random item from this plant is defective) by marginalizing over all possible values of [tex]X[/tex]. This value is like a weighted average of the defective rate of each machine. The weights here would be the percentage of items produced by each machine.

[tex]\begin{aligned}& P(Y = 1) \\=\; & P(Y = 1\; | \; X=A)\, P(X = A) \\ &+ P(Y = 1\; |\; X = B)\, P(X = B) \\ & + P(Y = 1\; |\; X = C)\, P(X = C) \\ =\; & 0.01 \times 0.40 \\ &+ 0.015 \times 0.35 \\ &+ 0.02 \times 0.25 \\ =\; & 0.01425\end{aligned}[/tex].

Substitute in the given quantities [tex]P(Y = 1\; |\; X = B) = 0.015[/tex] and [tex]P(X = B) 0.35[/tex] into the expression from Bayes' Theorem:

[tex]\begin{aligned} & P(X = B\; | \; Y = 1) \\ =\; & \frac{P(Y = 1\; |\; X = B)\, P(X = B)}{P(Y = 1)} \\=\; & \frac{0.015 \times 0.35}{0.01425} \\\approx\; & 0.37 = 37\%\end{aligned}[/tex].

Answer:

5778

Step-by-step explanation:

1+2+3+4+5+....+105+106+107

The sequence of numbers (1, 2, 3, … , 107) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:

S=n(n+1)/2=11556÷2=5778

S is the sum of the series and n is the number of terms in the series, in this case, 107

There are other ways to solve:

This is an arithmetic series, for which the formula is:

S = n[2a+(n-1)d]/2

where a is the first term, d is the difference between terms, and n is the number of terms.

For the sum of the first 107 whole numbers:

a = 1, d = 1, and n = 107

Therefore, sub into the formula:

S = 107[2(1)+(107-1)(1)]/2 =

107(2+106)/2=107*108/2=5778

so she blow out 5778 candless during her lifetime

Answer:

yes

Step-by-step explanation:

(1:2)x2=9/18

yes the ratios 9:18 and 1:2 equivalent

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

We need to check whether the ratios 9:18 and 1:2 are equivalent.

Equivalent ratios are the ratios that are the same when we compare them.

Two or more ratios can be compared with each other to check whether they are equivalent or not.

Here the two ratios are 9:18 and 1:2

We can write 9:18 as fraction 9/18

When we simplify it we get 1/2

Hence, yes the ratios 9:18 and 1:2 equivalent

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Answer:

2 and 3

Step-by-step explanation:

2+3=5

2*3=6

Answer:

Your answer is: 5 or 6 inches

Step-by-step explanation:

Hope this helped : )

Answer: T

Step-by-step explanation:

Answer:

Step-by-step explanation:

if the discriminate is 0, it means that both roots are the same. Not only that, but it also means that the roots are real. I would pick D, but realize that that is the expected answer and the answer could be B, depending on how the person writing the problem thinks about it.

Answer:

49.6

Step-by-step explanation:

Answer:

Please mark as brainliest;)

Answer:

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½. A fraction is a part of a whole.

2/6

3/9

4/12

Step-by-step explanation:

1 × 2 / 3 × 2 = 2/6

1 × 3 / 3 × 3 = 3/9

1 × 4 / 3 × 4 = 4 /12

Answer:

2/6

Step-by-step explanation:First, you multiply both numbers then you have 2/6. :)

Answer:

A = 35.1

Step-by-step explanation:

Formula:

(1/2) × Apothem × Perimeter

Apothem: 7.8 in.

Perimeter: 9 in.

A = 1/2 × 7.8 × 9

A = 35.1

Answer: 35.1

Formula is 1/2 (apothem x perimeter)

Answer:

103

Step-by-step explanation:

For any Triangle, The Sum of Interior Angles = 180°

So, For Triangle ABC ---> m∠A + m∠B + m∠C = 180°

By Substituting by the Givens m∠A =68 and m∠B=9

68 + 9 + m∠C = 180

77+ m∠C=180

Subtract 77 from both Sides

m∠C=180-77=103°

Answer:

hope will help you

good afternoon

Answer:

(b)

Step-by-step explanation:

a=1,500,000

b=3,050,000

Receiving $50,000 initially and $100,000 per day for the next 30 days, would result in the greatest payday at the end of the first month of employment, with a total amount of $3,050,000

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To determine which option would result in the greatest payday at the end of the first month of employment, let's calculate the total amount for each option:

a)

Lump sum of $1,500,000

The total amount is $1,500,000.

b)

$50,000 initially and $100,000 perday for the next 30 days

The total amount is $50,000 (initial) + $100,000/day * 30 days

T = $50,000 + $3,000,000

On simplifying the equation , we get

T = $3,050,000

Hence , receiving $50,000 initially and $100,000 per day for the next 30 days would result in greater payday

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Answer:

He would get there at 1:15 (I did this in my head, may be wrong)

Step by step solution:

We know the motorist left home at 10. We can divide the 260/80 and we get 3 hrs, we still have 20 km left over, keep on dividing and you get 1:15 p.m.

Answer:

Plants absorb nitrates from nearby soils to create proteins. Fertilizer also helps because it makes the soil even richer, allowing for more nitrates, which means more proteins.

Answer:

1.2 liters

Step-by-step explanation:

Answer:

y=[tex]\frac{1}{10} x^2[/tex]

Step-by-step explanation:

You're partially correct.

Let me explain:

When a parabola is scaled vertically, think of it this way: a parabola is being stretched up or smooshed downwards, by some math god who can defy all forms of life and dimensions.

When a parabola, in y=a[tex]x^{2}[/tex], is shifted vertically, when a>1, it appears 'skinnier'. The parabola went on a diet! However, when 0<a<1, the parabola seems wider and fat.

Knowing this knowledge, when factored vertically by a factor of x, it means that it is the coefficient of the parent graph  y=a[tex]x^{2}[/tex], which means 1/10 goes before [tex]x^{2}[/tex].

Summing all of this up, your answer would have the equation of the new parabola as y=[tex]\frac{1}{10} x^2[/tex]

Scaled vertically means not reflected over x axis .

Here

Now it's vertically scaled

so

New equation