A square pyramid has a slant height of 3 inches and a surface area of 40 inches. What is the length of a side of the base, in inches. PLEASE HELP

the measure of the angle that is supplementary to angle RST is 90 degrees

To determine the value of the angle, we need to know the following;

From the information given, we have that;

Angle RST is its own complement

Then, angle RST =90 degrees

The supplementary angle should be y

Then,

RST + y= 180

substitute the values

y = 180 - 90

subtract the values

y= 90 degrees

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Answer:

4 outcomes

Step-by-step explanation:

The probability that the spinner on the left will land on a 6 and the spinner on the right will land on a shaded area will be 1/9. The correct option is A.

Probability is a branch of mathematics that deals with the measurement and analysis of uncertainty. In other words, probability is the measure of the likelihood or chance that a particular event will occur.

The probability that the spinner on the left will land on a 6 is calculated as,

P₁ = 2 / 12

The spinner on the right will land in a shaded area is,

P₂ = 8 / 12

The total probability will be,

P =  ( 2 / 12 ) x ( 8 / 12 )

P = 1 / 9

Therefore, the probability that the spinner on the left will land on a 6 and the spinner on the right will land on a shaded area will be 1/9. The correct option is A.

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Answer:

[tex]20x+240y/y[/tex]

Step-by-step explanation:

1. Subtract the numbers

2. Evaluate the exponents

3. Subtract the numbers, again

4. Have a great day and thx for your inquiry :)

The measure of angle RST is 90°.

option D.

The measure of angle RST is calculated by applying the principle of a right angle triangle as shown below;

A right-angled triangle, also known as a right triangle, is a triangle in which one of the angles measures exactly 90 degrees. The side opposite the right angle is called the hypotenuse, while the other two sides are known as the legs.

From the given diagram, the measure of angle RST is calculated as follows;

∠S = 90 (since this angle has a symbol of right angle)

So the other two angles, R and T are complementary.

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Answer:

Angle B measures 70°, so angle C measures 110°.

20° + B = 90°, so B = 70°.

70° + C = 180°, so C = 110°.

Stem-leaf plot for the given data:

1 | 2 3 4 5

2 | 1 2 2

3 | 3 3

4 | 1

The stem represents the tens digit and the leaf represents the ones digit of the data points. For example, the number 18 is represented as 1|8 in the plot.

A stem-and-leaf plot for the given data:

1 | 2 3 4

---+-------

1 | 2 2

2 | 2 2 3 8

3 | 3 3

4 | 1

5 |

6 | 6

7 | 7

8 |

In this plot, the tens digit is used as the stem, and the ones digit is used as the leaf. For example, the first two numbers in the data set are 18 and 17, which have stems of 1 and leaves of 8 and 7, respectively. These are shown in the first row of the plot as "1 | 8 7". Similarly, the number 23 has a stem of 2 and a leaf of 3, so it is shown in the second row as "2 | 3". The remaining numbers are arranged in the same way.

The numbers are arranged in ascending order within each row, and there are blank spaces for stems that do not appear in the data.

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The average weight of a sample of objects is 94.83 pounds and the spread of the weights around the mean is measured by the sample standard deviation, which is 31.16 pounds.

The given data shows the weights (in pounds) of adult wild mountain lions captured and released for the first time in the San Andres Mountains.

(a) Using a calculator with mean and sample standard deviation keys, we can find the sample mean weight x and sample standard deviation s.

[tex]x = (70 + 107 + 130 + 128 + 60 + 64) / 6 = 94.83 \pounds\\\\s = \sqrt{\frac{(70 - 94.83)^2 + (107 - 94.83)^2 + ... + (64 - 94.83)^2} {5}}[/tex]

= 31.16 pounds

Therefore, the sample mean weight x is 94.83 pounds and the sample standard deviation s is 31.16 pounds.

(b) To find a 75% confidence interval for the population average weight u of all adult mountain lions in the specified region, we can use the formula:

CI = x ± t*(s/√n)

where CI is the confidence interval, x is the sample mean weight, t is the t-score for the desired confidence level (75% in this case), s is the sample standard deviation, and n is the sample size (6 in this case).

From the t-table, the t-score for a 75% confidence level with 5 degrees of freedom is 2.015.

Plugging in the values, we get:

CI = 94.83 ± 2.015*(31.16/√6) = (63.6 pounds, 126.1 pounds)

Therefore, we can be 75% confident that the true population average weight of all adult mountain lions in the specified region is between 63.6 pounds and 126.1 pounds.

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The best measure of center to describe salaries at the company is the median. The Option D is correct.

The reason is that the median is less affected by extreme values or outliers which can greatly affect the mean. In this case, the mean annual salary is $62,000 while the median is only $35,000.

This large difference suggests that there are some very high earners at the company that are pulling up the mean. The median indicates that half of the employees earn less than $35,000 and half earn more which gives a more accurate picture of the typical salary at the company.

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Answer:

48

Step-by-step explanation:

just add the numbers. 48 is equal to (4+44)

have a great day and thx for your inquiry :)

The corresponding angles and sides that show that the triangles are similar are: <A ≅ <R; <K ≅ <T; <M ≅ <L

RL/AM = RT/AK = TL/KM = 1.5.

Similar triangles are triangles that look alike but might be bigger or smaller than each other. This means that their matching or corresponding angles are the same and their matching sides have the same proportional length.

Therefore, from the image, we have corresponding pairs of angles that are congruent as follows:

Angles A and R

Angles K and T

Angles M and L

The corresponding sides that are proportional are:

AM and RL, which is RL/AM = 6/4 = 1.5

AK and RT, which is RT/AK = 7.5/5 = 1.5

KM and TL, which is TL/KM = 9/6 = 1.5

Therefore, the triangles are similar.

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Answer:

the first one

Step-by-step explanation:

reason - 4 times 3 is 12 and 4 times 2 is 8 so 12x+8

The equivalent expression is the one in the last option:

[tex]\sqrt[10]{y}[/tex]

Here we want to find an expression equivalent to:

[tex](\frac{1}{\sqrt{y} } )^{-1/5}[/tex]

Remember the two rules for exponents that we need to use here:

[tex]x^{-n} = (1/x)^n[/tex]

[tex]x^{1/n} = \sqrt[n]{x}[/tex]

Using the first rule, we can rewrite our expression as:

[tex](\frac{1}{\sqrt{y} } )^{-1/5} = \sqrt{y}^{1/5}[/tex]

Now we can rewrite the root of a root to get:

[tex](\frac{1}{\sqrt{y} } )^{-1/5} = \sqrt{y}^{1/5} = \sqrt[5]{\sqrt{y} } = \sqrt[10]{y}[/tex]

Where in the last step we just multiplied the exponents for the roots, we can see that the correct option is the last one.

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Answer:

I think it may be 160?

Step-by-step explanation:

400/5 is 80 there's 2 yellow so 2x80= 160 times

The number of unique preference orders that are represented in the table would be B. Five.

An individualized preference order is one way to assign a hierarchal ranking to an assortment of options. This ordering is recognized as "unique" because each item is assigned its own rank, with no two elements sharing the same level of priority.

From what is shown on the table, we have Voters 2, 4, 5 and 7 having a unique order. From these four voters, we therefore have four unique preference orders.

However, there is another unique preference order which is the shared preference order of Voters 1. 3 and 6 because this is unique preference order shared by three people.

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Answer:

120 km

Step-by-step explanation:

its average speed was 60 km an hour and it took 2 hours from town a to town b so 60km + 60km = 120

[tex]{\large {\orange{\underline {\underline {\mathcal {♡AnSwER♡⤵}}}}}}[/tex]

Left Town A at 9:30 am

Reached town B at 11:30 a.m

Therefore, Time taken by the car is =( 11:30 - 9:30) hrs =2 hrs

The speed of the car =60 km/h

So, the distance between Town A and B is = (Speed × Time) =( 60 × 2 )km =120 km.

The distance between Town A and B is 120 km. (Ans)

Hope it helps you

[tex]\red{\rule{200pt}{5pt}}[/tex]

[tex]\bold{Thank ~you~:)}[/tex]

The equation that passes through the point (4, -3) and has a slope of 4 is option A: 5x + 4y = 8.

To determine which equation passes through the point (4, -3) and has a slope of 4, we can substitute the values of x and y into each equation and check if the resulting equation is true.

Let's substitute x = 4 and y = -3 into each equation:

A. 5x + 4y = 8

Substituting x = 4 and y = -3:

5(4) + 4(-3) = 20 - 12 = 8

The equation is true for points (4, -3).

B. 5x - 4y = 8

Substituting x = 4 and y = -3:

5(4) - 4(-3) = 20 + 12 = 32

The equation is not true for points (4, -3).

C. 4x + 5y = 8

Substituting x = 4 and y = -3:

4(4) + 5(-3) = 16 - 15 = 1

The equation is not true for points (4, -3).

D. 4x - 5y = 8

Substituting x = 4 and y = -3:

4(4) - 5(-3) = 16 + 15 = 31

The equation is not true for points (4, -3).

Therefore, the equation that passes through the point (4, -3) and has a slope of 4 is option A: 5x + 4y = 8.

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Answer:

(2x + 1) (x - 4)

Step-by-step explanation:

2x² - 7x - 4.

need two number that add up to -7, but that multiply together to get -4.

(2x + 1) (x - 4) = 2x² - 4(2x) + x - 4 = 2x²  - 8x + x - 4 = 2x²  - 7x - 4

To write the ratio of 2/3 to 8 as a fraction in simplest form, we need to divide the numerator and denominator by their greatest common factor (GCF).The GCF of 2 and 8 is 2.So, we divide both the numerator and denominator by 2:2/3 ÷ 8/1 = (2/3) ÷ (8/1) = 2/3 x 1/8 = (2 x 1) / (3 x 8) = 2/24Now, we can simplify the fraction by dividing the numerator and denominator by their greatest common factor again.The GCF of 2 and 24 is 2.So, we divide both the numerator and denominator by 2:2/24 ÷ 2/2 = (2/24) ÷ (2/2) = 2/24 x 1/2 = (2 x 1) / (24 x 2) = 1/12Therefore, the ratio of 2/3 to 8 as a fraction in simplest form is 1/12.

Answer:

How to find Ratio?

Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B. For example, if A is five and B is 10, your ratio will be 5/10

In order to find the ratio of a certain number to another number or the relation of each other, we also need to know the concept of fraction and percentage.

1/12 or 1 to 12

The ratio is 2/3*8=23⋅8=2/24=1/12

So it is 1 to 12

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The coordinates of point S are  (4, 3.5)

Remember that the coordinates of a point are written in the notation (x, y), such that the first value is the value in the horizontal axis, and the second value is the value in the vertical axis.

Each one of the squares is one unit, then the x-value of the point S is:

x = 4

And for the y-value we can see that the point is halfway between the third and the fourt lines, then:

y = 3.5

Thus, the coordinates of point S are (4, 3.5)

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The surface area of the rectangular prism is 1476 square units

From the question, we have the following parameters that can be used in our computation:

30 mm by 12 mm by 9 mm

The surface area of the rectangular prism is calculated as

Surface area = 2 * (Length * Width + Length * Height + Width * Height)

Substitute the known values in the above equation, so, we have the following representation

Area = 2 * (30 * 12 + 30 * 9 + 12 * 9)

Evaluate

Area = 1476

Hence, the area is 1476 square units

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Answer:

Step-by-step explanation:

Width = Area / Length
Width = 3339 cm^2 / 63 cm

Width = (1113/21) cm

Width = (371/7) cm

Width = 52 cm

The total angle measurement of a triangle sum above is 180°. So yes,  it is possible to only make a right angle triangle but  impossible to draw a triangle

To check if a triangle can be drawn with 25°, 65°, and 90° angles, we use the Triangle Angle Sum Theorem stating that all triangle angles add up to 180 degrees.

If you add all the angles together (25 + 65 + 90 = 180°),  We can draw a triangle based on this sum, but we only consider the angles' nature. The triangle has angles of 25°, 65°, and 90°, making it a right triangle. It only applies to right triangle and not others triangle .

Note that based on the given angle measures of 25°, 65°, and 90°, it is impossible to draw a triangle as it does not follow the triangle inequality property.

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Answer:

Yes it can be negative

Step-by-step explanation:

For example, in a vacuum, there is no atmospheric pressure and the pressure is zero. If we introduce a sealed container into the vacuum and pump out the air, the pressure inside the container will be negative compared to the pressure outside the container.

Answer:

Answer is 36 1/8

Step-by-step explanation:

8x4 is 36. 1/2 x 1/4 is 1/8

Answer:

36 1/8

Step-by-step explanation:

8 1/2 = 17/2 x 17/4 = 289/8 = 36.125 = 36 1/8

Answer:

18. The probability of rolling a number less than five or an odd number

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Answer: about 87.96459430051421

Step-by-step explanation: 28 x 3.14 = the answer

Answer:

18 square units

Step-by-step explanation:

The parallelogram has been plotted in the attached figure

The area of a parallelogram is b x h

where b is one side and h is the vertical distance between the two bases

In the figure, we see that base = AB is parallel to the y-axis

This means the y-coordinates of A and B are the same and the distance is obtained by taking the absolute difference between the x-coordinates of A and B

b = |x1 - 2| = |6 - 0| = 6

The height h is a perpendicular line from point D(1, 3) to the base which touches the base at point E

Since this line is horizontal to the x-axis in the figure, the y coordinates of the endpoints of the line are the same i.e y1 =3 and y2 = 3

Therefore h = absolute difference between the x coordinates
= |1-4| = 3

Given b = 6, h = 3

area = 6x 3 = 18 square units

The solution of the system of equations is the point (-4, 0)

Here we have the system of equations:

y = -x - 4

4y - 2x = 8

To find the solutions graphically, what we need to do is graph both equations on the same coordinate axis, and then find the points where the graphs of the equations intercept. These points are the solutions of the system.

On the image at the end, you can see the graph of the system of equations, there we can see that the lines intercept at the point (-4, 0), so that is the solution.

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