Knowing that sin 30= 1/2, what is a?

Knowing That Sin 30= 1/2, What Is A?

Answers

Answer 1

Step-by-step explanation:

I hope it's correct

HAVE A GOOD DAY!

Knowing That Sin 30= 1/2, What Is A?
Answer 2

The value of a in the triangle is 10

How to solve for (a)?

The sine of an angle is:

sin(angle)= opposite/hypotenuse

Using the question parameters, we have:

sin(30) = 5/a

Substitute sin(30) = 1/2

1/2 = 5/a

Cross multiply

a = 2 * 5

Evaluate

a = 10

Hence, the value of a in the triangle is 10

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Related Questions

Pls help guys: Find the perimeter of rectangles which measure: 9m x 12.6m.and also I need help with this so: complete the table of measurements of triangles. Base. 12cm. 12cm. 30.5cm. Height. 15cm. 32cm Area. 60cm2 72cm2. 112.5cm2 122cm2 160cm2 Fill in the blanks pls and also tell me why it is. I will mark brainliest if you help me for real

Answers

Answer:

1.  perim is 43.2

2. where are the blanks? dont see any

Step-by-step explanation:

An apple that was 4 meters off the ground was blown off a tree. The angle between the final position of the apple and the original
position of the apple was 35
4 m
35
Note: picture not drawn to scale
Which equation can be used to find the horizontal distance, r, that the apple was displaced?

Answers

we also need the vertical distance between the original spot and the ground to solve this,

Answer:

tan 35° = \frac{4m}{r}

Step-by-step explanation:

Tan is the length of the opposite leg over the length of the adjacent length and for angle 35 4 was the length of the opposite leg and r was the length of the adjacent leg

The graph of function f is shown. Function g is represented by this equation g(x) = 2(2)^x. A. They have different y-intercepts but the same end behavior. B. They have same y-intercepts but different end behavior. C. They have different y-intercepts and different end behavior. D. They have the same y-intercept and the same end behavior

Answers

Answer:

G(×)=2(2)^×.Q

Step-by-step explanation:

As per the function, they have different y-intercepts and different end behavior.

To compare with function f, we need to analyze its y-intercept and end behavior. If the y-intercept and end behavior of both functions are the same, the answer would be D. However, if they differ in either the y-intercept or the end behavior, the answer would be either A, B, or C.

The functions f and g have different y-intercepts since the y-intercept of g is 2, whereas the y-intercept of f would be the value of f(0) based on its graph. Additionally, they have different end behavior since function g approaches positive infinity as x increases, while function f appears to approach a horizontal asymptote.

Answer: C. They have different y-intercepts and different end behavior.

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[tex]g(x) = 3x - 6[/tex]and
[tex] {g}^{ - 1}(x) = \frac{x + 6}{3} [/tex]. With g(x) and
[tex] {g}^{ - 1}(x)[/tex], find
[tex] {g}^{ - 1}(g(10))[/tex]. Make sure to show your work.​

Answers

Hey there! :)

Answer:

[tex]g^{-1} (g(10))=10[/tex]

Step-by-step explanation:

Begin by calculating g(10):

g(x) = 3x - 6

Substitute in 10 for x:

g(10) = 3(10) - 6

g(10) = 30-6

g(10) = 24.

Plug '24' into 'x' into [tex]g^{-1} (x)[/tex]

[tex]g^{-1} (24)=\frac{(24) + 6}{3}[/tex]

Simplify:

[tex]g^{-1} (24)=\frac{30}{3}[/tex]

[tex]g^{-1} (24)=10[/tex]

Use multiples to write two fractions equivalent to 9/10 - 12/13, 36/40 18/20, 10/11 8/9 * 27/30 18/20, 27/30

Answers

Answer:

27/30 18/20

Step-by-step explanation:

-4/5 times (-7/6) please help

Answers

Answer:

14/15

Step-by-step explanation:

-4/5 × -7/6

Multiply numerator with numerator and denominator with denominator.

(-4×-7)/(5×6)

28/30

Simplify.

14/15

Answer:

[tex] \frac{14}{15} [/tex]

solution,

[tex] \frac{ - 4}{5} \times \frac{ - 7}{6} \\ = \frac{ - 4 \times ( - 7)}{5 \times 6} \\ = \frac{28}{30} [/tex]

divide 28 and 30 by 2 ,you will get:

[tex] \frac{14}{15} [/tex]

hope this helps..

Good luck on your assignment..

please solve each inequality and show you work thank you so much:)

2x – 7 > 3= ?

[tex]\frac{x}{4} +11\geq 8[/tex]= ?

[tex]-6x+7\geq 19[/tex]= ?


-10+4x>50= ?

[tex]\frac{x}{-2}[/tex]-17>-13= ?


[tex]8-2x\leq 46[/tex]= ?

[tex]-13x+1\leq -25[/tex]= ?

[tex]-7+\frac{x}{3} \ \textgreater \ -4[/tex]= ?

[tex]-9x-19\geq 17[/tex]= ?

[tex]16-x\ \textgreater \ 9[/tex]= ?

Answers

Answer:

1) [tex]\boxed{x > 5}[/tex]

2) [tex]\boxed{x \geq -12}[/tex]

3) [tex]\boxed{x \leq -2}[/tex]

4) [tex]\boxed{x > 15}[/tex]

5) [tex]\boxed{x < -8}[/tex]

6) [tex]\boxed{x \geq -19}[/tex]

7) [tex]\boxed{x \geq 2}[/tex]

8) [tex]\boxed{x > 9}[/tex]

9) [tex]\boxed{ x \leq - 4}[/tex]

10) [tex]\boxed{x < 7}[/tex]

Step-by-step explanation:

1) [tex]2x-7 > 3[/tex]

Adding 7 to both sides

=> 2x > 3+7

=> 2x > 10

Dividing both sides by 2

=> x > 5

2) [tex]\frac{x}{4} + 11 \geq 8[/tex]

Subtracting 11 to both sides

[tex]\frac{x}{4} \geq 8 -11\\\frac{x}{4}\geq -3[/tex]

Multiplying both sides by 4

x ≥ -3 * 4

x ≥ -12

3) -6x+7 ≥ 19

Subtracting 19 to both sides

=> -6x ≥ 19-7

=> -6x ≥ 12

Dividing both sides by -6

=> x ≤ -2

4) -10 + 4x > 50

Adding 10 to b.s

=> 4x > 50+10

=> 4x > 60

Dividing b.s by 4

=> x > 15

5) [tex]\frac{x}{-2} - 17 > -13[/tex]

[tex]\frac{x}{-2} - 17 > -13\\Adding \ 17 \ to \ both \ sides\\\\\frac{x}{-2} > -13+17\\\\\frac{x}{-2} > 4\\Multiplying both sides by -2[/tex]

=> x < 4*-2

=> x < -8

6) 8 - 2x ≤ 46

Subtracting 8 from b.s

=> -2x ≤ 46-8

=> -2x ≤ 38

Dividing b.s by -2

=> x ≥ -19

7) -13x+1 ≤ -25

Subtracting 1 from both sides

=> -13x ≤ -25-1

=> -13x ≤ -26

Dividing both sides by -13

=> x ≥ 2

8) [tex]-7 + \frac{x}{3} > -4[/tex]

Adding 7 to b.s

=> x/3 > -4+7

=> x/3 > 3

Multiplying 3 to b.s

=> x > 3*3

=> x > 9

9) -9x-19 ≥ 17

Adding 19 to both sides

=> -9x ≥ 17+19

=> -9x ≥ 36

Dividing both sides by -9

=> x ≤ -4

10) 16 - x > 9

Adding x to both sides

=> 16 > 9 + x

Subtracting 9 from both sides

=> 16 - 9 > x

=> 7 > x

OR

=> x < 7

NOTE: Whenever, we divide the inequality by a negative signed term, the inequality changes to its opposite.

Answers:

[tex]\boxed{x > 5}\\ \boxed{x \geq -12}\\\boxed{x \leq -2}\\\boxed{x > 15}\\\boxed{x < -8}\\\boxed{x \geq -19}\\ \boxed{x \geq 2}\\\boxed{x > 9}\\\boxed{ x \leq -4}\\ \boxed{x < 7}[/tex]

Step-by-step explanation:

2x - 7 > 3

2x > 10

x > 5

x/4 + 11 ≥ 8

x/4 ≥ -3

x ≥ -12

-6x + 7 ≥ 19

-6x ≥ 12

x ≤ -2

-10 + 4x > 50

4x > 60

x > 15

-x/2 - 17 > -13

-x/2 > 4

-x > 8

x < -8

8 - 2x ≤ 46

-2x ≤ 38

x ≥ -19

-13x + 1 ≤ -25

-13x ≤ -26

x ≥ 2

-7 + x/3 > -4

x/3 > 3

x > 9

-9x -19 ≥ 17

-9x ≥ 36

x ≤ -4

16 - x > 9

-x > -7

x < 7

How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?


How many gallons of 15% alcohol should be in the mixture? _____ gal

Answers

Answer:

Step-by-step explanation:

each gallon 15% alcohol

and 5% alcohol

*is this question correct?

Answer:

Step-by-step explanation:

Let x = Gallons of 15% alcohol

   y = gallons of 5% alcohol

x + y = 10 gallons

y = 10 - x

15% of x + 5% of y = 14% of 10 gallons

0.15x + 0.05y = 0.14 * 10

0.15x + 0.05 * ( 10 - x) = 1.4

0.15x + 0.05*10  - x * 0.05 = 1.4

0.15x  + 0.5 - 0.05x = 1.4  

Add like terms

0.10x + 0.5 = 1.4

Subtract 0.5 from both sides

0.10x = 1.4 - 0.5

0.10x = 0.9

Divide both sides by 0.10

x = 0.9/0.1

x = 9

x = 9 gallons

y = 1 gallons

-(-(-2))+(-3)(-4)(-5)

Answers

Answer:

-62

Step-by-step explanation:

Use BPEMDAS (Brackets, Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction) or use a calc.

-(2) + (12)(-5)

-2 + -60

-62

Answer:

Step-by-step explanation:

-(-(-2)) + ( -3)(-4)(-5) = -2 - (3*4*5)  = -2 - 60 = -62

In multiplication, count the number of negative. If number of negative is odd, the result will have negative sign

Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. 50, 100, 150, 200, .

Answers

Answer:

50n

Step-by-step explanation:

This problem can be solved using concept of Arithmetic progression(AP)

In AP series

the series increases or decreases by certain number which is called common difference.

common difference d is given by

d= nth term - (n-1)th term

nth term = a + (n-1)d

where a is the first term of the series

thus series can be a , a+d, a+2d, a+3d, a+4d, ...........a + (n-1)d

_______________________________________

Given series

50, 100, 150, 200

a = 50

to find d lets use 3rd term as nth term and 2nd term as (n-1)th term

d = 150 -100 = 50

Thus,

nth term = 50 + 50(n-1) = 50 + 50n -50 = 50n

50n can represent the position of the term of the sequence.

To validate this lets put n = 4

50*4 = 200 which is the same as the fourth term given in the series.

hence our solution is correct.

Points O, A, B lie on the same line. OA = 12 cm, OB = 9 cm. Find the distance between the midpoints of segments OA and OB if point O lies on the segment AB?

Answers

Answer: 1.5cm

Step-by-step explanation:

12-9=3 because it is midpoint 3/2=1.5

Solve for x.....................

Answers

Answer:

15

Step-by-step explanation:

In order to find the the value of x, first we need to calculate the length of the perpendicular dropped from the right angle to the hypotenuse of the given triangle.

Therefore, by geometric mean property, we have:

[tex]l(perpendicular) \\ = \sqrt{9 \times (25 - 9)} \\ = \sqrt{9 \times 16} \\ = \sqrt{144} \\ l(perpendicular) = 12 \: units \\ \\ Now \: by \: Pythagoras \: Theorem:\\ {x}^{2} = {9}^{2} + {12}^{2} \\ {x}^{2} = 81 + 144 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = 15[/tex]

The answer that’s you are looking for for this problem is 15

Here is a list of numbers:
2, 13, 13, 6, 10,4 16,14,20
State the median.

Answers

Answer:

Median = 13

Step-by-step explanation:

Arranging it in ascending order:

=> 2,4,6,10,13,13,14,16,20

Median is the middlemost no.

So,

=> Median = 13

Median is = 3
Hope it’s right x

One of the sides of a parallelogram has a length of 5 in. Can the lengths of the diagonals be: 4 in and 3 in?

Answers

Answer:

No

Step-by-step explanation:

Which rule describes the composition of
transformations that maps
ABC to A'B'C"?​

Answers

i think it’s transfiguration :)

Answer:

translation

Step-by-step explanation:

I need number 5 done can someone help me please I need it done ASAP

Answers

Answer: B

Step-by-step explanation:

(4/3) x 3.14 x 3.7^3

Plug into a calculator

212.067

Brainliest would be appericiated!

State all possible names for a figure.
A) quadrilateral, rectangle
B) parallelogram
C) quadrilateral, parallelogram, rectangle
D) parallelogram, rectangle
ANSWER QUICK

Answers

Answer:

C) quadrilateral, parallelogram, rectangle

Step-by-step explanation:

The figure has four sides, so it is a quadrilateral. The quadrilateral has four right angles and two equal (in length) opposite sides, so it is a rectangle.

All rectangles are parallelograms, because the two opposite sides of a rectangle are parallel.  

Option C should be the correct answer.

Based on the shape and the available option, the possible names for a figure here is the quadrilateral, parallelogram, rectangle

What is quadrilateral?

Quadrilateral is a type of shape that is closed shape and a type of polygon that has four sides, four vertices, and four angles.

Generally, a Quadrilateral is formed by joining four non-collinear points. The sum of the interior angles of quadrilaterals is always equal to 360 degrees.

In this case, the figure has four sides, so it is a quadrilateral. The quadrilateral has four right angles and two equal (in length) opposite sides, so it is a rectangle.

All rectangles are parallelograms because the two opposite sides of a rectangle are parallel.

Hence, in this case, it is concluded that the correct answer is option C. quadrilateral, parallelogram, rectangle

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What is the value of X in the equation..[tex]\frac{8}{5}x+5=-19[/tex]
PLS SHOW WORK!

Answers

Answer:

8/5x + 5 = -19

8/5x = -24 (Subtract 5)

x = -15 (Multiply by 5/8)

Find the Missing Side Lengths
the Leave your answers as radicals in simplest form.​

Answers

Answer:

x = √3

y = 1

Step-by-step explanation:

The side x, the hypotenuse 2 and the 60 degree angle are related as follows:

                                 x

sin 60 degrees = ----------

                                  2

                                               

and so side x is equal to  2 sin 60 degrees, or 2( (√3)/2), or √3.

By the Pythagorean Theorem, x^2 + y^2 = 2^2, or

                                                     3   + y^2 = 4, and so

                                                              y^2 = 1

so side y has length 1

x = √3

y = 1

If f(x) = -15x + 3, then f^-1(x) =

Answers

Answer:

f^-1(x) is - (x -3)/15

Step-by-step explanation:

f(x) = -15x + 3

To find f^-1(x) equate f(x) to y

That's

y = f(x)

Which is

y = -15x + 3

Next interchange the terms x becomes y and y becomes x

That's

x = - 15y + 3

Make y the subject

We have

-15y = x - 3

Divide both sides by - 15

We get

y = x-3/-15

y = - x - 3/15

Therefore f^-1(x) is - (x -3)/15

Hope this helps you

3^x+x³=17
solve for x​

Answers

Answer:

Hello!

~~~~~~~~~~~~~~~

3^x+x³=17

=  x = 2

Step-by-step explanation: Graph each side of the equation. The solution is the x - value of the point of intersection.

Hope this helped you! Brainliest would be nice! ❤︎

Which of the following represents the factorization of
the binomial below?
25x2 - 64y2

A. (5x - 8y)(5x-8y)

B. (5x + 8y) (5x + 8y)

C. (5x - y)(x + 8y)

D. (5x - 87)(5x + 8y)

Answers

D. (5x + 8y)(5x - 8y)
It’s D (5x - 87)( 5x + 8y) !!!!

True or false? The illustration below is an example of a regular tessellation.​

Answers

Answer:

B.) False

Step-by-step explanation:

A regular tessellation is a pattern made by repeating a regular polygon. But in this image, it is a demiregular tessellations. Demiregular tessellations are a set of tessellations made from 2 or more regular polygon faces.

Hope this helps you out! : )

The given illustration is not example of a regular tessellation due to overlapping of polygons which is option(B) false.

What is regular tessellation?

A regular tessellation is defined as consist of a repeating pattern of one or more regular polygon. There are a few qualifications for a pattern to be a tessellation. These include:

Regular polygon cannot overlap.

Regular polygon cannot have space between them.

The patterns are created by rotating, translating, or reflecting the shapes.

Hence, the given illustration is not example of a regular tessellation due to overlapping of polygons.

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Please help, just answer this question.

Answers

Answer:

[tex] - \frac{5}{2} [/tex]

Given that,

Slope of line A=2/5

We know that , slope of perpendicular line is product of slopes.

i.e. M1 M2=-1

[tex] m1 = \frac{2}{5} \: \: [/tex]

m2=?

Now,

[tex] \frac{2}{5} \times m2 = - 1 \\ or \: m2 = - 1 \times \frac{5}{2} \\ \: m2 = - \frac{ 5}{2} [/tex]

Therefore, Slope of line B is -5/2.

Hope this helps..

Good luck on your assignment..

(NEED HELP FAST , WILL GIVE BRAINLIEST!!!)
1. Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
2. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
3. Test the residuals of two other points to determine how well the line of best fit models the data.
4. Use the line of best fit to help you to describe the data correlation.

Answers

Answer:

Explained below.

Step-by-step explanation:

The data from the scatter plot is as follows:

Arm Span      Height

   19.5               25

   35.5              35

   37.0              39

   40.5             40

   44.5             45

   45.5             50

   49.0             49

    51.0             55

   52.5             47

   59.0             60

   61.0              58

(1)

Compute the value of slope and intercept as follows:

[tex]\sum{X} = 495 ~,~ \sum{Y} = 503 ~,~ \sum{X \cdot Y} = 23822 ~,~ \sum{X^2} = 23660.5[/tex]

[tex]\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 503 \cdot 23660.5 - 495 \cdot 23822}{ 11 \cdot 23660.5 - 495^2} \approx 7.174 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 11 \cdot 23822 - 495 \cdot 503 }{ 11 \cdot 23660.5 - \left( 495 \right)^2} \approx 0.857\end{aligned}[/tex]

The equation of the line of best fit is, y = 0.857·x + 7.174.

(2)

The slope of the line represent the rate of change in y caused by one unit change in x.

In this case the slope of m = 0.857 indicates that as the arm span increases by 1 unit the height increases by 0.857 units.

(3)

To perform the Residual Test, simply take two values from the table and interchange the x and y values.

Consider the values: (37, 39) and (51, 55)

Compute the value of y if x = 39:

[tex]y = 0.857\cdot x + 7.174\\=0.857\times 39+7.174\\=40.597\\\approx 40.6[/tex]

The new value of y (40.6) is close to the original value (39.0)

Compute the value of y if x = 55:

[tex]y = 0.857\cdot x + 7.174\\=0.857\times 55+7.174\\=54.309\\\approx 54.0[/tex]

The new value of y (54) is close to the original value (55)

Thus, it can be said that the line of best fit models the data provided.

(4)

The line of best fit is:

y = 0.857·x + 7.174

The slope of the line is positive.

This implies that there is a positive relationship between the two variables.

The formula of slope in terms of correlation coefficient is:

[tex]\text{Slope}=r\times\sqrt{\frac{Var(x)}{Var(x)}}[/tex]

The correlation coefficient is directly proportional to the slope.

This implies that the correlation coefficient is also positive.

Thus, the variables Arm span and Height are positively correlated.

Suppose a cube is given.
How many different segments can be formed by connecting the vertices of the cube?

Answers

Answer:

I believe it is 12

I'm not 100% sure but if its right let me know

Sry if its not :/

Use the interactive to graph the line with a y-intercept of –2 and slope of –1/3.

What is the x-intercept of the line?

–6
–3
3
6

Answers

According to your answer choices the x intercept of the line is -6

Answer:

-6

Step-by-step explanation:

To convert a fraction into a decimal number, divide the denominator by the numerator. TrueFalse

Answers

oof I'm wrong he's right I thought is said do idea numerator by denominator sowwy

Answer:

false; you divide the NUMERATOR by the denominator.

Question 22 on this pictured math sheet please. Have a great day!

Answers

Answer:

The required graph is shown below.

Step-by-step explanation:

The given equation is

[tex]4x-3y=12[/tex]

To draw the graph we need at least two points which satisfy the given equation.

At x=0,

[tex]4(0)-3y=12[/tex]

[tex]-3y=12[/tex]

[tex]y=\dfrac{12}{-3}[/tex]

[tex]y=-4[/tex]

At y=0,

[tex]4x-3(0)=12[/tex]

[tex]4x=12[/tex]

[tex]x=3[/tex]

So, (0,-4) and (3,0) are two solutions of the given equation. Plot these two points on the coordinate plane and connect them by a straight line.

The required graph is shown below.

The Grade 8 students held a graduation dance.
Four out of 7 students attended.
There are 112 Grade 8 students.
How many students attended the dance?
**In the blank ONLY write the number, no words/sentences, for example if the
answer is 4 students are going in the blank type: 4

Answers

Answer:

64

Step-by-step explanation:

4/7

16x7= 112

4x16=64

64 as in 69 if you know what i mean
Other Questions
Please help me :)))) Solve 2x+2>10A. x < 4B. x > 4C. x > 6D. x < 6 A transformation of STV results in UTV. 2 triangles are connected at their base. Both triangles have identical side lengths and angle measures. Which transformation maps the pre-image to the image? dilation reflection rotation translation The mean and standard deviation of a random sample of n measurements are equal to 34.5 and 3.4, respectively.A. Find a 95 % confidence interval for if n=49.B. Find a 95% confidence interval for if n=196.C. Find the widths of the confidence intervals found in parts a and b.D. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed?1. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 4.2. Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 2.3. Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the on confidence interval by a factor of 4.4. Quadrupling the sample size while holding the confidence coefficient fixed does not affect the width of the confidence interval.5. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 2. A teacher wants her students to provide honest but constructive feedback to their peers regarding their performance in a theater production rehearsal. Which Form settings should she avoid if she wants to keep feedback anonymous Determine whether the given value is a statistic or a parameter. A sample of 818 adults showed that 39% voted in the past election. Choose the correct answer below. A. The value is a because it is a numerical measurement describing some characteristic of a parameter sample. B. The value is a because it is a numerical measurement describing some characteristic of a statistic population. C. The value is a because it is a numerical measurement describing some characteristic of a statistic sample. D. The value is a because it is a numerical measurement describing some characteristic of a parameter population. Balance the chemical equations Water is boiled at 1 atm pressure in a 20-cm-internal diameter polished copper pan on an electric range. If it is observed that the water level in the pan drops by 8.00 cm in 15 minutes, determine the inner surface temperature of the pan. Some people enjoy taking risks and trying new things. Others are not adventurous; they are cautious and prefer to avoid danger. Which behavior do you think is better? Please help me ASAP (Each choose is Yes/No) drag the tiles to the correct boxes to complete the pears. Match the values based on parallelogram ABCD, shown in the figure. length of BCvalue of y mvalue of x 56> 4> 44> 2> Given the following data for Glennon Company, compute (A) total manufacturing costs and (B) costs of goods manufactured:A BDirect materials used $270,000 Beginning work in process $40,000Direct labor 200,000 Ending work in process 20,000Manufacturing overhead 300,000 Beginning finished goods 50,000Operating expenses 350,000 Ending finished goods 30,000A) $750,000 $790,000B) $770,000 $750,000C) $790,000 $810,000D) $770,000 $790,0002) Carr Company is considering two capital investment proposals. Estimates regarding each project are provided below:Project SoupProject NutsInitial investment$400,000$600,000Annual net income30,00046,000Net annual cash inflow110,000146,000Estimated useful life5 years6 yearsSalvage value-0--0-The company requires a 10% rate of return on all new investments.Present Value of an Annuity of 1Periods9%10%11%12%53.8903.7913.6963.60564.4864.3554.2314.111The annual rate of return for Project Soup is:A) 55%.B) 7.5%.C) 27.5%.D) 15.0%. what statement describes the danger of using heavy metals to control microbe growth?A.heavy metals promote biofilm formation in humansB.heavy metals stimulate some microbes to reproduce even more C.heavy metals are toxic to many organisms besides microbes D.heavy metals can assist with virus attachment to host cells which of the following us not a property of salt in the ionic and covalent properties lab help i will give brainliest A test of abstract reasoning is given to a random sample of students before and after they completed a formal logic course. The results are given below. Before: 74, 83, 75, 88, 84, 63, 93, 84, 91, 77 After: 73, 77, 70, 77, 74, 67, 95, 83, 84, 75Required:a. Is there evidence to suggest the logic course improves abstract reasoning? b. Construct a 95% confidence interval for the mean difference between the before and after scores. What happened when United States General Scott reached Mexico City?Ps: i by mistake clicked one of the answers Izzy gets a loan of $2,800 with an APR of 3.5%. She will repay the loan in monthly payments for 9 months. To find the total amount of interest she will pay, Izzy uses an online calculator. What are the correct numbers she should enter? While an important source of freshwater, groundwater is not as widely used as rivers and springs. Please select the best answer from the choices provided T F How did nationalism in Austria affect German expansion before World War II?O A. It led Austrian leaders to rely on British and French protection fromGerman aggression.O B. It made Germany more willing to give up portions of Austria aspart of appeasement.O C. It forced Germany to assassinate Austrian leaders beforeconquering the country.O D. It resulted in little Austrian opposition to the German annexation ofAustria.