Find the lateral surface area of the net below.
-26cm
-20cm
zlom
20cm
Record your answer, be sure to use the correct place value.

Hello!

A = 115° => opposite

B = 115° => corresponding angles

C = 65° => 180° - 115°

Answer:

A = 115 degrees

B = 115 degrees

C = 65 degrees

Step-by-step explanation:

A is opposite of 115 so it is 115 degrees.

B is 115 because it is on a parellel line to the one of 115

C is 180 minus B, which is 180 - 115 = 65

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

-12

Step-by-step explanation:

3/5 * (1 + sqrt(16))^2 - (5 - 2)^3 =

= 3/5 * (1 + 4)^2 - (3)^3

= 3/5 * (5)^2 - 27

= 3/5 * 25 - 27

= 15 - 27

= -12

The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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Answer:

d = 6.4

Step-by-step explanation:

We can use the distance formula

d =sqrt( ( y2-y1)^2 + ( x2-x1) ^2)

d =sqrt( (3 - -2)^2 + (6-2) ^2)

d =sqrt( (5)^2 + (4) ^2)

d =sqrt( 25 + 16)

d = sqrt( 41)

d =6.403124237

Rounded to the nearest tenth

d = 6.4

Using the distance formula:

Distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Distance = sqrt((6-2)^2 + ( 3- -2)^2)

Distance = sqrt(4^2 + 5^2)

Distance = sqrt(16+ 25)

Distance = sqrt(41)

Distance = 6.4

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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Step-by-step explanation:

The formula:

�

�

=

�

2

(

�

1

+

�

�

)

S

n

=

2

n

(a

1

+a

n

)

is used to solve for the sum of the arithmetic sequence given the first term a₁, the number of terms n, and the last term in an.

Example:

3, 6, 9, 12, 15,...,123

The first term, a₁ = 3

The last term an = 123

Common difference, d = 3 (because the sequence are multiples of 3)

Number of terms, n= ?

Find the number of terms, n:

an = a₁ + (n-1) (d)

123 = 3 + (n-1) (3)

123 = 3 - 3 + 3n

123/3 = 3n/3

n = 41

To find the sum of the given sequence without adding 3 + 6 + 9, ... + 123, we use the formula:

S₄₁ = (41/2) (3 + 123)

S₄₁ = (41/2) (126)

S₄₁ = (41)(63)

S₄₁ = 2,583 ⇒ the sum of the given sequence

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:

74.44

Step-by-step explanation:

\(P(10)=0.018(10)^3-0.294(10)^2+3.065(10)+55.190 \\ \\ =74.44\)

The value of 14.5% of 1,800 is 261 by using the concept of percentage.

In mathematics, a percentage is a value or ratio expressed as a fraction of 100.

The term percent is derived from the Latin per centum, which means "hundred" or "by the hundred." The sign for "percent" comes from the Italian expression per cento, which means "for a hundred." The "per" was frequently shortened as "p." and finally disappeared entirely. The "cento" was reduced to two circles divided by a horizontal line, from which the present "%" symbol was derived.

A % is a relative figure that indicates one-tenth of a quantity. One percent (symbolized 1%) is the one-hundredth part; consequently, 100 percent denotes the complete amount, and 200 percent specifies twice the supplied amount.

Given,

14.5% of 1,800

=(14.5/100)×1800

=261

Therefore, the answer is 261.

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Answer:

(3x + 18) + 93 = 180

23 + X

Step-by-step explanation:

(3x + 18) + 93 = 180, its supplymentery

180 - 93 = 87

87 - 18 = 69

3x = 69

69/3 = 23

23 = X

Answer:

Step-by-step explanation:

Remark

You have to assume nothing you should have to assume. You have to assume that 93 degrees on 3x + 18 sit on the same straight line. If it just looks that way, you are on shaky ground. You must be told. It's a good thing to keep in mind. Likely you'll get more questions like this. Just be aware you should not have to assume anything to make the problem work.

If the two angles both have one leg on what is marked as a straight line, then the sum of the two angles must = 180

Solution

The first one is not true. 3x + 18 is smaller than 90 degrees because 93 is more than 90 degrees. If A is true then the line is bent a bit.

B is not true. We just found one equation that doesn't work.

C is not true either. The result of trying to solve C will make x minus because 93>90 and 18 when subtracted  makes 3x even more minus.

D is true

(3x + 18) + 93 = 180               Subtract 93 from both sides.

(3x + 18) + 93-93 = 180 - 93   Combine

(3x + 18) = 87                           Remove the brackets

3x + 18 = 87                             Subtract 18

3x+18-18 = 87-18                

3x = 69                                    Divide by 3

3x/3 = 69/3

Answerx = 23

E is not true because D is true.

Answer:

/...

Step-by-step explanation:

Answer:

She will need a time of 1024 units to complete the 10th station.

Step-by-step explanation:

A. As the quotient between consecutive terms is the same, the data is a geometric sequence.

B. The recursive formula is:

C. She will need a time of 1024 units to complete the 10th station.

In a sequence, if the difference between consecutive terms is the same, the sequence is arithmetic.

If the quotient between consecutive terms is the same, the sequence is geometric.

Item a:

When x increases by 1, y is multiplied by 2, hence, as the quotient between consecutive terms is the same, the data is a geometric sequence.

Answer: To find the distance between two points on a grid, we can use the distance formula:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, the coordinates of the middle school are (-5, 3), and the coordinates of the library are (2, 3). So we have:

distance = sqrt((2 - (-5))^2 + (3 - 3)^2)

distance = sqrt((2 + 5)^2 + 0^2)

distance = sqrt(7^2)

distance = 7

Therefore, the library is 7 miles away from the middle school.

Step-by-step explanation:

The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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Answer:

Percent increase = 34.67% (Approx.)

Step-by-step explanation:

Given:

Old amount = $11.25

New amount = $15.15

Find:

Percent increase

Computation:

Percent increase = [(New amount - Old amount)/Old amount]100

Percent increase = [(15.15 - 11.25)/11.25]100

Percent increase = [(3.9)/11.25]100

Percent increase = 34.67% (Approx.)

Answer:

Step-by-step explanation:

use Y- Y1 = m ( X - X1 )

3.

y1 = 2

x1= -4

m= 3

Y- Y1 = m ( X - X1 )

y - 2 = 3 (x + 4)

y-2= 3x + 12

y = 3x + 14

4.

y1= -1

x1= 6

m = -1

Y- Y1 = m ( X - X1 )

y + 1 = -1 (x - 6)

y + 1 = -x + 6

y = 5 - x

Answer:

inequality

Step-by-step explanation:

Inequality are two or more expressions joined by an inequality sign is called

Answer:

A and D

I graphed the equation on desmos

Answer:

A,D

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

When the price elasticity of demand for a good is 2, a 10 percent decrease in the quantity demanded must be the result of a 5 percent increase in the price.

The price elasticity of demand measures how responsive the quantity demanded for a good is to changes in the price. If the price elasticity of demand is 2, this means that a 1 percent increase in the price of a good leads to a 2 percent decrease in the quantity demanded. To find the price change necessary to cause a 10 percent decrease in the quantity demanded, we can use the formula P = (Qd/Qd_0)^(1/e). Here, P is the price change, Qd is the new quantity demanded, and Qd_0 is the initial quantity demanded. Plugging in our values, we get that a 5 percent increase in the price of the good is necessary to cause a 10 percent decrease in the quantity demanded.

P = (Qd/Qd_0)^(1/e)

P = (90%/100%)^(1/2)

P = 0.95^(1/2)

P = 1.05

P = 5%

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Since the null hypothesis (H₀) is rejected, we can conclude that the mean FEV₁ in the high-pollution community is less than 2.1 liters.

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

For this clinical trial (study), the appropriate null and alternative hypotheses would be given by:

H₀: p = 2.1

H₁: p ≠ 2.1

Also, the hypothesis test is a t-test.

The test statistic can be calculated by using this formula:

\(t=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }\)

Where:

Substituting the given parameters into the formula, we have;

\(t=\frac{2.09\;-\;2.1}{\frac{0.4}{\sqrt{69} } }\\\\t=\frac{-0.01}{\frac{0.4}{8.3066 } }\\\\\)

t = -0.01/0.0482

t = -0.208.

For the p-value, we have:

P(Z < t) = P(Z < -0.208)

P(Z < -0.208) = 0.8359.

Therefore, the p-value (0.8359) is less than α = 0.01. Based on this, we should reject the null hypothesis (H₀).

Since the null hypothesis (H₀) is rejected, we can conclude that the mean FEV₁ in the high-pollution community is less than 2.1 liters.

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The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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Answer: 17 packs

Step-by-step explanation: 16 packs of 10 equals 160 beads, and one pack of 5 will give you 164 beads with 1 left over.

Answer:

monthly income of 4,000

Step-by-step explanation:

monthly income=m

.20m=800

m=4,000

Answer:

Bb

Step-by-step explanation:

Answer:

Step-by-step explanation:

Corresponding sides have same ratio:

Correct option is B

Answer:

D. 4, 5, 6, then 

H² = P² + B²

6² = 5² + 4²

36 = 25 + 16 

36 ≠ 41

This is not Pythagorean triple.

Answer:

55.8

Step-by-step explanation:

cos(x)=9/16

x=55.8

The angle of elevation of the ladder is approximately 60.5 degrees.

To find the angle of elevation (x) of the ladder, we can use trigonometry. The ladder, the side of the house, and the ground form a right triangle. The length of the ladder is the hypotenuse of the right triangle, and the distance from the bottom of the ladder to the house is one of the legs.

Using the tangent function:

tan(x) = opposite/adjacent

tan(x) = 16 ft / 9 ft

Now, solve for x:

x = arctan(16/9)

Using a calculator, we find

x ≈ 60.5 degrees

So, the angle of elevation of the ladder is approximately 60.5 degrees.

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Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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