Let the pyramid S.ABCD whose base ABCD is a square trapezoid at A and D; know AD = CD = a; AB = 2a; triangle SAB is equilateral and lies in the plane perpendicular to (ABCD). Then the volume of the pyramidal block S.ABC calculated in terms of a is?

Answer:

check all boxes except for the last 1

Answer:

18 1/5

Step-by-step explanation:

Answer:

log 12 = 1.0761

Step-by-step explanation:

log 12

=log(3*2*2)

= log 3 +log 2+ log 2

=0.4771+0.3010+0.3010

=1.0761

Answer:

Log 12 = 1.0791

Step-by-step explanation:

=> log (12)

Prime Factorizing 12

=> log (2×2×3)

Using log rule : \(log (a*b) = log a+logb\)

=> Log 2 + log 2 + log 3

Given that log 2 = 0.3010 , log 3 = 0.4771

=> 0.3010 + 0.3010 + 0.4771

=> 1.0791

Answer:

  8

Step-by-step explanation:

One way to solve problems involving the mean of a data set is to consider the way the numbers relate to the mean.

When we subtract the mean from the given numbers, we find the differences are ...

  -1, 1, 3, -3

The sum of these differences is 0. The missing number will make the toal of all differences from the mean be zero. Since it is already zero, the missing number is the mean. The missing number is 8.

By applying the formula we got 738 is median credit score of mary.

The median is the middle number in a sorted, ascending or descending, list of numbers

Given credit score  

639 732 790 837 677 744 637 821

First we will arrange data in ascending order

so  ascending order is 637,639,677,732,744,790,821,837

Here total number of terms n= 8

which is even

so median is

\(\frac{(n/2)^{th } observation+(n/2 +1)^{th} observation )}{2}\)

so median

\(=\frac{(8/2)^{th } observation+(8/2 +1)^{th} observation )}{2}\\\\=\frac{(4)^{th } observation+(5)^{th} observation )}{2}\\\\=\frac{732+744}{2}\\\\=\frac{1476}{2}\\\\=738\)

By applying the formula we got 738 is median credit score of mary .

To know more about median visit: https://brainly.com/question/300591

Answer:

I got it right ⬇️

Answer: yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

107 minus 39 is equal to 146. 180 (total degrees for triangles) minus 146 is 34. The triangles are equal

The inequalities that match each region are given as follows:

a) x + y ≥ 5. (Option E).

b) y ≤ x + 2. (Option A).

c) y ≥ 4. (Option D).

For item a, we have that values to the right of the line are shaded, meaning that the line is the lower bound of the interval.

The line is decreasing and has an intercept of 5, hence it is given as follows:

y = 5 - x.

As the line is the lower bound of the inequality, the inequality is defined as follows:

y ≥ 5 - x

x + y ≥ 5.

For item b, the line has an intercept of 2, hence it is given as follows:

y = x + 2.

It is an increasing line, and the values to the right of the line are shaded, meaning that the line is the upper bound and the inequality is given as follows:

y ≤ x + 2.

For item c, the lower bound is the horizontal line y = 4, hence the inequality is described as follows:

y ≥ 4.

More can be learned about inequalities at https://brainly.com/question/25275758

#SPJ1

Answer:

12.72 dollars per hour

Step-by-step explanation:

Her original money is $12 per hour. We know that 6% in a decimal is 0.06. But if we multiply 0.06 and $12, it would get an answer that is decreasing than increasing. So we can get this equation. 12+0.06*12. ( 12 dollars plus 6% of 12 dollars)  If we divide by 12, we get: 12( 0.06+1). 0.06+1=1.06. And 1.06*12 is 12.72 dollars per hour now.  I hope this helps your question!

Answer:

\(\sf sin(x) = \dfrac{5}{8}\)   and  \(\sf tan(x) = \dfrac{5}{7}\)

Given sides:

Sine rule given by:

\(\sf sin(x) = \dfrac{opposite}{hypotenuse}\)

\(\sf sin(x) = \dfrac{5}{8}\)

Cosine rule given by:

\(\sf cos(x) = \dfrac{adjacent}{hypotenuse}\)

\(\sf cos(x) = \dfrac{7}{8}\)

Tan rule given by:

\(\sf tan(x) = \dfrac{opposite}{adjacent}\)

\(\sf tan(x) = \dfrac{5}{7}\)

Answer:

x= -6.4

Step-by-step explanation:

Answer:

x=− 5 x 32

​

=−6.400

Step-by-step explanation:

simplify - 3/4

simplify - 2/5

Answer:

\( \frac{1}{ {a}^{42} } \)

Step-by-step explanation:

\( {( {r}^{ - 7}) }^{6} \)

Since,

\( {( {a}^{x}) }^{y} = {a}^{xy} \)

Then,

\( = {r}^{ (- 7 \times 6)} = {r}^{ - 42} \)

Since,

\( {a}^{ - 1} = \frac{1}{a} \)

Then,

\( = {r}^{ - 42} = \frac{1}{ {r}^{42} } \)

Therefore,

2nd Option is correct.

Answer:

reflection O translation​

Answer:

24y^3/x^5

Step-by-step explanation:

Since 6x and 4x are not in a parentheses, they are not being powered by anything. Therefore, those stay on the numerator side.

Anything to the power of something times another to the power of something is always added together. Since -1 + (-4) is -5, x would end up having a power of -5, which would just make it go on the denominator side with just a power of 5.

Same rule with y follows. This would make it 5+ (-2) = 3. Since this is a positive power, it stays at the numerator side.

Answer:

The answer is the second one.

Step-by-step explanation:

The correct label is ∠CBA.

The correct label for the angle formed by rays BC and BA is ∠CBA. When  Angles labeling , it is important to consider the vertex of the angle, which is the point where the two rays meet. The vertex is usually labeled with a capital letter, and the angle itself is labeled with three letters, with the vertex letter in the middle. In this case, the vertex is at point B, and the two rays are BC and BA. Therefore, the angle is labeled as ∠CBA. It is important to use the correct labeling when communicating about angles in mathematics, as it ensures clarity and accuracy in solving problems and expressing ideas.

The correct label for the angle formed by rays BC and BA is ∠CBA.

Therefore, in this case, the correct label for the angle formed by rays BC and BA is ∠CBA.

Learn more about Angles labeling

brainly.com/question/17071840

#SPJ11

Answer:

The answer is <CBA

Step-by-step explanation:

Bc if the vertex is on "b" its going to be {bc} and {ba}. and sinces the vertex is in the middle in the image so should the letter. So its <CBA.

hope this helps

The distance between the building and the ladder is 34.876 foot.

A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.

The ladder forms a right triangle with the building and the ground,

The length of the triangle is 40 foot

The angle made by the ladder is 29.32 degree

By using Trigonometric Ratios

cos 29.32 = Base /  Hypotenuse

cos 29.32 = Base / 40

0.8718 × 40 = Base

Base = 34.876 foot

Base is the distance between the building and the ladder.

Base of the ladder = 34.876 foot

To learn more about trigonometric functions from the given link

https://brainly.com/question/24336684

#SPJ4

The independent variable in this study is the type of treatment given to the college students: either effective reading strategies or a placebo treatment.

In an experiment, the independent variable is the factor that the researcher manipulates or controls to observe its effect on the dependent variable. In this study, the cognitive psychologist wanted to investigate the impact of teaching better reading strategies on college students' reading comprehension.
The researcher selected a sample of 40 college students and divided them into two groups. The independent variable was the type of treatment assigned to each group. One group (20 students) received the treatment of being taught effective reading strategies, while the other group (also 20 students) received a placebo treatment.
By manipulating the independent variable (the type of treatment), the researcher aimed to examine its effect on the dependent variable, which in this case is the students' reading comprehension scores. The mean score on the reading test was measured for both groups: the group taught the reading strategies and the group receiving the placebo treatment.
By comparing the mean scores between the two groups, the researcher could determine if the independent variable (teaching effective reading strategies) had an impact on the dependent variable (reading comprehension scores).

Learn more about independent variable here
https://brainly.com/question/32767945

#SPJ11

To find the horizontal distance from the bottom of the ladder to the building, we can use trigonometry and the given information.

The ladder forms a right triangle with the ground and the side of the building. The length of the ladder, 7.00 m, represents the hypotenuse of the triangle. The angle between the ladder and the horizontal ground is given as 76.0 degrees.

To determine the horizontal distance, we need to find the adjacent side of the triangle, which corresponds to the distance from the bottom of the ladder to the building.

Using trigonometric functions, we can use the cosine of the angle to find the adjacent side. So, the horizontal distance can be calculated as follows:

Horizontal distance = Hypotenuse (ladder length) * Cos(angle)

Substituting the values, we have:

Horizontal distance = 7.00 m * Cos(76.0 degrees)

Evaluating this expression, the horizontal distance from the bottom of the ladder to the building is approximately 1.49 m.

To know more about trigonometry click here: https:/brainly.com/question/11016599

#SPJ11

Answer:

A.   52°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc.

m∠B = 1/2 (m of arc AC)

26 = 1/2 (m of arc AC)

52 = (m of arc AC)

We return "Yes"; otherwise, we return "No".

What is probability?

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.

To solve this problem, we can work backward from (c,d) to (a,b) and check if each step is valid. Specifically, we can use the following observations:

If c < a or d < b, it is impossible to reach (c,d) from (a,b) using the given operations.

If c - a = d - b, we can reach (c,d) from (a,b) using only the second operation. Specifically, we can perform the operation (a, a+b) repeatedly until we reach (c,d).

If c - a != d - b, we can reach (c,d) from (a,b) using a combination of the two operations. Specifically, we can perform the first operation (a,b) -> (a+b,b) repeatedly until we get to a point where c - a = d - b, and then use the second operation to get to (c,d).

Here, we first check if it is impossible to reach (c,d) from (a,b) using the observations above. If not, we perform the second operation as many times as possible to reduce the difference between c and a, and d and b. Once this is done, we check if we have arrived at (a,b).

Therefore, we return "Yes"; otherwise, we return "No".

To learn more about probability from the given link -

https://brainly.com/question/30034780

#SPJ1

Natalie bought pistachios at a lower price per pound compared to Nicholas.

To compare the prices of pistachios at store A and store B, we need to calculate the price per pound for each store based on the given information.

Natalie's purchase at store A:

Weight of pistachios = 3 4/5 pounds

Cost of pistachios = $17.75

To calculate the price per pound at store A, we divide the total cost by the weight:

Price per pound at store A = $17.75 / (3 4/5) pounds.

To simplify the calculation, we can convert the mixed fraction 3 4/5 to an improper fraction:

3 4/5 = (3 \(\times\) 5 + 4) / 5 = 19/5

Substituting the values, we have:

Price per pound at store A = $17.75 / (19/5) pounds

Price per pound at store A = $17.75 \(\times\) (5/19) per pound

Price per pound at store A = $3.947 per pound (rounded to three decimal places).

Nicholas's purchase at store B:

Weight of pistachios = 4 7/10 pounds

Cost of pistachios = $19.50

To calculate the price per pound at store B, we divide the total cost by the weight:

Price per pound at store B = $19.50 / (4 7/10) pounds

Converting the mixed fraction 4 7/10 to an improper fraction:

4 7/10 = (4 \(\times\) 10 + 7) / 10 = 47/10

Substituting the values, we have:

Price per pound at store B = $19.50 / (47/10) pounds

Price per pound at store B = $19.50 \(\times\) (10/47) per pound

Price per pound at store B = $4.149 per pound (rounded to three decimal places).

Comparing the prices per pound, we find that the price per pound at store A ($3.947) is lower than the price per pound at store B ($4.149).

For similar question on lower price.

https://brainly.com/question/7303679  

#SPJ8

Answer:

1. 4ft=48inches

2. 5km=5,000m

3. 6 quarts=1,5 gallons

4. 2,000 grams=2km

Step-by-step explanation:

1. To convert feet to inches, multiply the number (4) by 12.

2. 1 Kilometer (km) is equal to 1000 meters (m). To convert kilometers to meters, multiply the kilometer value by 1000.

3. divide the volume value by 4

4. To convert grams to kilograms, you divide the number of grams you have by 1000

4 feet = 48 inches

5 kilometers = 5,000 meters

6 quarts = 1.5 US gallons

2,000 grams = 2 kilograms

Answer: x = 5/2 or x = -1

Step-by-step explanation:

2x² - 3x - 5 = 0

↓ You split the middle term into 2 terms

2x² - 5x + 2x - 5 = 0

↓ Then factor the first 2 terms and last two terms separately

x(2x - 5) + (2x - 5) = 0

↓ And you factor it out

(2x - 5)(x + 1) = 0

↓ Then you have to apply the zero product property

2x - 5 = 0 or x + 1 = 0

↓ Rearrange variables to the left side of the equation

2x = 5

↓ Then divide both sides of the equation by the coefficient of variable

x = 5/2

or -------------------------------------------------------------

x + 1 = 0

↓ Rearrange variables to the left side of the equation

x = -1

Answer:

50%

Step-by-step explanation:

If 68 represents 100% then

  34 represents  x %

Calculate x

x = (34 · 100) / 68 = 50% (makes sense because 34 is half of 68)

So the percent of decrease from 68 to 34 is 50%

Answer:

m=4

Step-by-step explanation:

ABCD is 2.5x larger than QRST so you just divide the 10 by 2.5

Answer:

4

Step-by-step explanation:

Because the two trapezoids are similar, we need to find out what multiplied by 15 gets us to 6.

We would multiply it by 2/5, so 10 multiplied by 2/5 is 4.

Answer:

22

Step-by-step explanation:

We substitute the numbers for the letters to get 4*4 + 3*2 and then we multiply. 16 + 6 which equals 22. I hope this helps and please mark brainliest!

Answer:

22

Step-by-step explanation:

4a + b2

4(4) + (3)2

4 x 4 = 16

3 x 2 = 6

16 + 6 =

22

The required probability that she'll use a cab exactly one time is  4/9.

probability is a part of math that arrangements with figuring out the probability of the event of an occasion.

Elizabeth lives in San Francisco and works in Mountain View.

In the first part of the day she has 3 transportation choices  (bus, cab, train) to work, and at night she has similar 3 options for her outing home.

All transportation  (bus, cab, train) are comparably liable to be chosen, and 1 of them should be chosen in the first part of the day and night, so we get:

P (bus) = P (taxi) = P (train) = 1/3.

We additionally have P(no taxi in night) = P(no taxi at morning) = 2/3

Presently, P(using taxi precisely once) = P(cab at morning and no taxi at night) + P(no taxi at morning and taxi at night)

= P(cab, no taxi) + P(no taxi, taxi)

= 1/3 × 2/3 + 2/3 × 1/3

= 2/9 + 2/9

= 4/9

Consequently, the probability that Elizabeth utilizes a taxi just once is 4/9.

To know more about Probability visit:

brainly.com/question/15124899

#SPJ4

Answer:

Below

Step-by-step explanation:

4 [x-3] + 2    = y    is not discontinuous anywhere

However    4 / [x-3]  + 2   DOES have a discontinuity at x = 3 because this would cause the denominator to be zero <===NOT allowed !!

The two triangles are similar If they have the same shape, but their sizes are different.

Similar triangles are triangles that have the same shape, but their sizes may be same or different. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. The similarity of triangles are denoted by ‘~’ symbol

AA (or AAA) or Angle-Angle Similarity

If any two angles of a triangle are equal to any two angles of another triangle, then those two triangles are similar to each other.

SAS or Side-Angle-Side Similarity

If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed between those two sides in both the triangle are equal, then two triangles are said to be similar.

SSS or Side-Side-Side Similarity

If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.

Therefore, two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

To learn more about similarity refer here

https://brainly.com/question/25631497

#SPJ4