What is the lateral surface area of the triangular prism?



Round to the hundredths place.

Answer:

D 1/2

Step-by-step explanation:

Probability is  the ratio of the number of favorable outcomes to the total number of outcomes

number of favorable outcomes = 11+8 = 19

total number of outcomes = 38

                    The probability that a randomly selected balloon would be green or orange is

  19/38 = 1/2

Answer:

¾. because 3 out of 4 are water cups

Answer:

75%

Step-by-step explanation:

3 cups of water to 1 cup of cranberry concentrate.

So, 4 cups of ingredients.

The percentage of  the cranberry juice that is water:

3 cups of water/4 cups of ingredients= 3/4.

To express 3/4 in percent, we multiply the fraction by 100%(percent).

[tex]\frac{3}{4}[/tex] * 100% = 75%

Hope this helps!

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Answer:

a. 6 kg.

b. 110 m long.

c. 60 ml of juice.

For the given equation, the center will be (1, -3) and the radius will be 3.

Correct option is (3)

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Moreover, every angle has rotational symmetry around the center.

As per the given data:

Equation of the circle is [tex](x - 1)^2 + (y + 3)^2 = 9[/tex].

For a circle with equation [tex](x - a)^2 + (y - b)^2 = r^2[/tex]

The center is given by (a, b) and the radius is given by r.

Similarly comparing with the equation  [tex](x - 1)^2 + (y - (-3))^2 = 3^2[/tex].

The center will be (1, -3) and the radius will be 3

Hence, For the given equation the center will be (1, -3) and the radius will be 3.

To learn more about circle, click:

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Answer:

25

Step-by-step explanation:

If ΔDGH ~ ΔDEF , then [tex]\frac{DG}{DE}[/tex] = [tex]\frac{GH}{EF}[/tex]

[tex]\frac{x+3}{2x-1}[/tex] = [tex]\frac{52}{91}[/tex]

After cross-multiplication: 52(2x - 1) = 91(x + 3)

104x - 52 = 91x + 273

13x = 325

x = 25

Answer:

Step-by-step explanation:

DGH~DEF ⇒ their corresponding sides are proportional

then

[tex]\frac{DG}{DE} =\frac{GH}{EF}[/tex]

then

[tex]\frac{52}{91} =\frac{x+3}{2x-1}[/tex]

then

[tex]\frac{4}{7} =\frac{x+3}{2x-1}[/tex]

then

4(2x-1) = 7(x+3)   [cross multiply]

then

8x - 4 = 7x + 21

then

8x - 7x = 21 + 4

then

x = 25

Answer:

Linear relationship: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.

Inverse relationship:  the value of one variable decreases as the value of the other variable increases.

Exponential relationship: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)

Question 5

As the x-value increases (by one unit), the y-value decreases.

Therefore, this is an inverse relationship.

The y-values are calculated by dividing 35 by the x-value.

[tex]\sf y=\dfrac{35}{x}[/tex]

**I believe there is a typing error in the table and that the y-value of x = 3 should be 11.67**

Question 6

As the x-value increases, the y-value increases.  The y-value increases by a factor of 5 for each x-value increase of 1 unit.

Therefore, this is an exponential relationship.

[tex]\sf y=5^x[/tex]

Step-by-step explanation:

[tex]x - 6 = - 4 \\ \\ \implies \: x = - 4 + 6 \\ \\ \implies \: x = 2[/tex]

Answer:

2

Step-by-step explanation:

because if you substitute 2-6 you will get negative 4

Answer:

12

Step-by-step explanation:

In the given circle circumference of the circle is = 72.

Since circumference of the circle = 2πr

[tex]2\pi r=72[/tex]

[tex]\frac{2*22}{7*r}=72[/tex]

[tex]r=\frac{72*7}{44}=\frac{504}{44}=\frac{252}{22}=\frac{126}{11}=11.45[/tex]

[tex]=\pi r \;theta /180=\frac{22}{7*11.45}*\frac{60}{180}[/tex]

[tex]11.99=12(About)[/tex]

Thus, Answer = 12

~lenvy~

Answer:

1

Step-by-step explanation:

Given:

Substitute the values into the expression:

1/2(m - 4) × n

⇒ 1/2(12 - 4) × 1/4

Simplify the expression:

⇒ 1/2(8) × 1/4

⇒ 4 × 1/4

⇒ 4 ÷ 4

⇒ 1 (Option B)

Answer:

D. 1

Step-by-step explanation:

Step-by-step explanation:

589292 is the correct answer:-)

This kinds of fractions called improper fractions

The rule is

We can turn it into mixed fraction

The distribution of the cars is an illustration of percentages

The main street has 100 or more cars per hour for 66.7% of the time

The dataset is given as:

20 60 100 140 180 120

From the above dataset, we have:

The percentage is then calculated as:

Percentage= 4/6 * 100%

Evaluate the product

Percentage= 66.7%

Hence, the main street has 100 or more cars per hour for 66.7% of the time

Read more about percentages at:

https://brainly.com/question/11360390

Answer:

B and F.

Step-by-step explanation:

2x^2 + 7x + 3 = 0

2x^2 + 6x + x + 3 = 0

2x(x + 3) + 1(x + 3) = 0

(2x + 1)(x + 3) = 0

x = -1/2, -3.

Answer:

Step-by-step explanation:

[tex]\dfrac{-2x+5}{x+4} - \dfrac{8}{x+3}\\ \\= \dfrac{(-2x+5)(x+3)-8(x+4)}{(x+4)(x+3)}\\\\=\dfrac{-2x^2-6x+5x+15 -8x -32}{x^2+3x+4x+12}\\\\=\dfrac{-2x^2-9x-17}{x^2+7x+12}\\\\\\=\dfrac{-2x^2+(-9)x +(-17)}{x^2+7x+12}\\\\\text{Hence, }~ A=-2,~ B=-9, ~C=-17, ~D=12[/tex]

Step-by-step explanation:

7/25

we need to remember this triangle with 90° 7, 24, 25

Answer: 70 degrees

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

In [tex]\triangle ABC,\: DE||AC[/tex]

[tex]\implies [/tex]By Basic Proportionality Theorem:

[tex]\frac{BD}{DA}=\frac{BE}{EC} \\ \\ \implies \: \frac{x + 5}{2x} = \frac{4}{3} \\ \\ \implies \: 3(x + 5) = 4(2x)\\ \\ \implies \: 3x +15 = 8x \\ \\ \implies \: 3x - 8x = - 15 \\ \\ \implies \: - 5x = - 15 \\ \\ \implies \: x = \frac{ - 15}{ - 5} \\ \\ \implies \: x = 3[/tex]

Answer:

Yes;

Step-by-step explanation:

5/2 = 2 1/2

2 1/2 > 1

Yes, 5/2 is to the right of 1 on a number line.

Answer:

238 mm

Step-by-step explanation:

11x5 = 55

11x4=44

11x5=55

11x4=44

4x5=20

4x5=20

______(Add all up)

= 238 mm

Hope this helps :)

________________________________________________________

To solve this problem, we must add each price together for the total.

[tex]4.26 + 9.76 + 6.33 + 14 = 34.35\[/tex]

To calculate our total store profits while finding the four contributions, we could divide by percent. For this case, 6%, also equal to 0.06

[tex]\frac{(estimate)34}{6\%(0.06)} = 573(estimate)[/tex]

Now that we have 573 as our estimate, subtract 573 by 34

[tex]573 - 34 = 539[/tex]

Therefore, the store's total profits were 573 dollars, and the four contributions from Jane, John, Zoey, and Hailey contributed to 34 dollars of it.

________________________________________________________

________________________________________________________

Ask in the comments box.

Answer:

x - 1

Step-by-step explanation:

The graph touches the x-axis at x = 1, its factor would be (x - 1)

Answer:

Step-by-step explanation:

Te processing fee was applied to the discounted price.

The discounted price is

Amount of fee is

Answer:

  x = -4

Step-by-step explanation:

The solution to a "sum and difference" system of equations can be found by adding the equations together.

  (x +y) +(x -y) = (-10) +(2)

  2x = -8 . . . . . . simplify

  x = -4 . . . . . . . divide by 2

_____

Additional comment

 y = -6, though this question did not ask that value.

Answer:

X equals 1, and Y equals 2

[tex]2x = 2 * 1[/tex]

[tex]3y = 3 * 2[/tex]

[tex]2 * 1 = 2[/tex]

[tex]3 * 2 = 6[/tex]

[tex]6 + 2 = 8[/tex]

________________________________________________________

Now, we go over what we learned.

________________________________________________________

We learned how to make inequalities true by assigning values to substitutions.

Questions related to this topic? Ask me in the comments box.

Answer:

C) 8 1/5

Step-by-step explanation:

82/10= 8 2/10= 8 1/5

Answer:

A) 8 2/10

Step-by-step explanation:

10 goes into 82 8 times with a remainder of 2

Answer:

90000

Step-by-step explanation:

because 10^4 = 10,000

then 9 x  10,000 = 90,000