What is the relationship between the two shapes?
A. They are similar and congruent.
B. They are similar but not congruent.
C. They are congruent but not similar.
D. They are neither congruent nor similar ​

Step-by-step explanation:

[tex] \csc \theta \cos^{2}\theta + \sin \theta = \csc \theta(1 - \sin^{2}\theta) + \sin \theta[/tex]

[tex] = (\csc \theta - \sin \theta) + \sin \theta[/tex]

[tex] = \csc \theta[/tex]

Answer:

Probely B since theres less water

Step-by-step explanation:

Answer:

Your answer would be A.Changes in the food chain

Step-by-step explanation:

The reason why this would be the answer is that Biodiversity is just the Variety of life in a habitat or ecosystem.

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Hope this Helps

Answer:

the value of x is 2.

Step-by-step explanation:

5(3x - 4) = 2(2x + 1)

15x - 20 = 4x + 2

15x - 4x = 2 + 20

11x = 22

x = 22/11

x = 2

Answer:

3/1/2 units 3

Step-by-step explanation:

Answer:

d no more than two questions correct

Answer:

the second one after first

Step-by-step explanation:

it strictly obeys the rules of boundary

the answer is 11 because 2 multiple are increasing

Answer:

An arithmetic sequence, The difference in any term with the previous term is same.

Step-by-step explanation:

See, ah this is a little bit easy question so let’s start solving it -:

Firstly, um see the difference between the given numbers-: 1, 3, 5, 7,9 _?

Between 1 and 3 the difference is 2

Between 5 and 3 the difference is 2

Between 7 and 5 the difference is 2

Between 9 and 7 the difference is 2

So, here we see the difference among all is same. So. it is an arithmetic sequence.

So, let's   find the fourth term. We can either do it by arithmetic progression or  by simply adding 2 to 7. I.ll first show you by doing A.P. then we will check the answer by adding 2 to 7.

So, as we know the basic formula of A.P. which is -: a1+(n-1)d

Here, a1=1, n=5, d=2

Let’s put the values in the formula-: 1+(5–1)2 = 1+(4)2 = 1+8 = 9

Now let’s check it. As the difference between each digit is same so definately the difference between 9 and the unknown number is 2.

Then, the unknown no. is 9+2 = 11

Hence, the answer is 11

Answer:

A

Step-by-step explanation:

this is a fraction we two powers with the same base so we have tu subtract the exponents and maintain the same base

5^(-6-3) = 5^-9 = 1/5^9

Answer:

46%

Step-by-step explanation:

P(A) = 41% depression

P(B) = 27% weight gain

P(A and B) = 14% both

Therefore

P(A or B) = P(A)+P(B)-P(A and B) = 41+27-14 = 54%

P(~A and ~B) = 1 - P(A or B) = 1-54%=46%

Answer:

The answer is A which is 5/16

Answer:

28.24

Step-by-step explanation:

25 + 32/10 + 4/100

take lcm of the denominator

lcm = 100

25*100 + 32*10 +4*1/100

2500 + 320 +4/100

2824/100

28.24

Find the value of (1 point)

Answer D .28.24

Answer:

5/8 or 62.5 percent

Step-by-step explanation:

Answer:

2 / 9

Step-by-step explanation:

From the spinner :

Number of reds = 1

Total number of colors = 3

P(not red) = Probability of not spinning red, = 1 - p(red) = 1 - 1/3 = 2/3

P(flipping tail) = a coin flip, P(tail) = 1/2

P(not even) = probability of not obtaining an even number) = 1 - p(obtaining an even number)

(1, 2, 3) ; not even = (1, 3)

P(not even) = 2 /3

Compound probability = 2/3 * 1/2 * 2/3 = 4 / 18 = 2 /9

Answer:

B

Step-by-step explanation:

Answer:

I'm  so sorry I did not mean to answer! Ignore my response

Step-by-step explanation:

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65[/tex]

For point a:

Using formula:

[tex]Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\[/tex]

For point b:

[tex]P(X<5)=?\\\\ x = 5\\\\ Z = \frac{(X - \mu)}{\sigma} = \frac{(5 -3.01)}{2.65} = 0.7509434\\\\P(Z< 0.7509434) = 0.7736566\\\\P(X<5) = P(Z< 0.7509434) = 0.7736566[/tex]

For point c:

[tex]X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66[/tex]

For point d:

[tex]P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X<1)\\\\\text{Z score for x} = 6\\\\Z = \frac{(6 - 3.01)}{2.65} = 1.128301887 \\\\P(Z< 1.128301887) = 0.870403777 \\\\P(X<6) = P(Z< 1.128301887) = 0.870403777 \\\\\text{Z score for x} = 1 \\\\[/tex]

[tex]Z = \frac{(1 -3.01)}{2.65} = -0.758490566\\\\P(Z< -0.758490566) = 0.224078679\\\\P(X<1) = P(Z< -0.758490566) = 0.224078679 \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X<6) - P(X<1) \\\\ = 0.870403777 - 0.224078679 = 0.646325097 \\\\\text{Required probability} = 0.646325097[/tex]

Answer:

To be honest I think its C but it may be A

Step-by-step explanation:

9514 1404 393

Answer:

  ∠PTR = 80°

  ∠PTQ = 45°

  ∠QTS = 83°

Step-by-step explanation:

The outer scale is useful for reading the values of angles that start with PT.

  ∡PTR = 80°

  ∡PTQ = 45°

The measure of angle QTS is found from ...

  ∡PTS = ∡PTQ +∡QTS . . . . . angle sum theorem

  ∡QTS = ∡PTS -∡PTQ . . . . . subtract ∡PTQ

  ∡QTS = 128° -45°

  ∡QTS = 83°

Step-by-step explanation:

the answer is in the above image

Answer:

220 miles

Step-by-step explanation:

Given the following data;

Distance = 385 miles

Take-off time = 8 AM

Speed = 55 mph

To find how far would he be by noon;

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the formula;

[tex]Speed = \frac{distance}{time}[/tex]

Making time the subject of formula, we have;

[tex]Time = \frac{distance}{speed}[/tex]

Substituting into the equation, we have;

[tex]Time = \frac{385}{55}[/tex]

Time = 7 hours

This ultimately implies that, he covers 55 miles per hour.

Next, we would determine how far he would be by noon.

Noon = 12 PM

By noon, time = 12 - 8 = 4 hours

Distance = speed * time

Distance = 55 * 4

Distance = 220 miles

Therefore, Larry's father would have covered a distance of 220 miles by noon.

Answer:

5

Step-by-step explanation:

D² = ( x2 - x1 )² + ( y2 - y1 )²

= [ (-18) - (-18) ]² + [ (-1) - (-6) ]²

= ( -1 + 6 )²

D² = ( 5 )²

hence, D = 5

Answer: B) 5

Step-by-step explanation:

Let's start by finding the distance from one x coordinate to the other. Remember subtracting by a negative is the same as adding a positive

-18-(-18)

-18+18

0

There is no distance away from the x value so the distance we need to count is from the y value

-1-(-6)

-1+6

5

The distance between the two points is 5.

Step-by-step explanation:

(+3x)-3x+12=-3x-12(+3x)

12=-12

But it is not sensible, so the ans is no solution

Answer:

C 2.0

Step-by-step explanation:

x-1.4 =0.6

add 1.4 to both sides

x=2.0

Step-by-step explanation:

the answer is in the above image

Answer:

10% of students buy neither the textbook nor the supplement from the bookstore

Step-by-step explanation:

We have that:

15% buy only the textbook.

75% buy both the textbook and the supplement.

None buy only the supplement.

a) What percent of students buy neither the textbook nor the supplement from the bookstore

15% + 75% = 90% buy at least one of them. So

100% - 90% = 10% buy neither.

Answer:

Abdul - 8 messages

Latoya - 16 messages

Dale - 64 messages

Total - 88 messages

Step-by-step explanation:

A: (x)

L: (A + 8)

D: (L* 4)

A: 8 = 8

L: 8 + 8 = 16

D: 16 * 4 = 64

8 + 16 + 64 = 88

Hope this helps!

Answer:

Part A=2cm²

Part B =The area of each triangle will be 1cm²

Explanation:

Part A

Area of parallelogram similar to that of rectangle =length x width

Area of the parallelogram= 3 x 2/3

= 2cm²

Part B

If you draw a line from A to C or B to D the form 2 triangles

Area of a triangle =1/2 x base x Height

=1/2 x 3 x 2/3

= 6/6

= 1cm²

Therefore both triangles are 1cm²

Sorry for not explaining at first I submitted the answer by accident

9514 1404 393

Answer:

  A: 1 rectangle and 2 triangles (or 1 trapezoid and 1 triangle)

  B: AB = 4; AE = 5

  C: area = 34.5 square units

Step-by-step explanation:

The figure can be decomposed into a right trapezoid and a triangle. The right trapezoid can be decomposed into a rectangle and a triangle.

easiest decomposition: 1 right trapezoid and 1 triangle

decomposition per instructions: 1 rectangle and 2 triangles.

__

AB is a horizontal line, so its length is the difference of the x-coordinates of B and A: 2 -(-2) = 4.

AE is a vertical line, so its length is the difference of the y-coordinates of A and E: 3 -(-2) = 5.

  AB = 4, AE = 5

__

The area of the trapezoid is given by ...

  A = 1/2(b1 +b2)h

The figure shows the base lengths to be 4 and 7, and the height to be 5. The trapezoid's area is ...

  A = 1/2(4+7)(5) = 27.5 . . . . square units

The area of triangle CDE is given by the formula ...

  A = 1/2bh

The figure shows the base length to be 7 and the height to be 2 units. The triangle area is ...

  A = 1/2(7)(2) = 7 . . . . square units

The total area of figure ABCDE is 27.5 +7 = 34.5 square units.

Answer:

Answer:

 A: 1 rectangle and 2 triangles (or 1 trapezoid and 1 triangle)

 B: AB = 4; AE = 5

 C: area = 34.5 square units

Step-by-step explanation:

Part A

The figure can be decomposed into a right trapezoid and a triangle. The right trapezoid can be decomposed into a rectangle and a triangle.

easiest decomposition: 1 right trapezoid and 1 triangle

decomposition per instructions: 1 rectangle and 2 triangles.

__

Part B

AB is a horizontal line, so its length is the difference of the x-coordinates of B and A: 2 -(-2) = 4.

AE is a vertical line, so its length is the difference of the y-coordinates of A and E: 3 -(-2) = 5.

 AB = 4, AE = 5

__

Part C

The area of the trapezoid is given by ...

 A = 1/2(b1 +b2)h

The figure shows the base lengths to be 4 and 7, and the height to be 5. The trapezoid's area is ...

 A = 1/2(4+7)(5) = 27.5 . . . . square units

The area of triangle CDE is given by the formula ...

 A = 1/2bh

The figure shows the base length to be 7 and the height to be 2 units. The triangle area is ...

 A = 1/2(7)(2) = 7 . . . . square units

The total area of figure ABCDE is 27.5 +7 = 34.5 square units.

Step-by-step explanation:

trust meh

Solution :

Given :

The sample mean = 21.3

Standard deviation = 3.2

The null hypothesis is : [tex]H_0: \mu =20[/tex]

The alternate hypothesis : [tex]H_a:\mu \neq20[/tex]

This is a two tailed test, for which a [tex]\text{t-test for one mean}[/tex] with an unknown population of a standard deviation is being used.

Now the significance level, [tex]\alpha = 0.1[/tex], as well as the critical value for a two tailed test is [tex]t_c = 1.833[/tex]

The rejection region is [tex]R = \{ t:|t| > 1.833 \}[/tex]

The t-statistic is computed as follows :

[tex]t=\frac{\overline x - \mu_0}{s/ \sqrt n}[/tex]

[tex]t=\frac{21.3-20}{3.2/ \sqrt{10}}[/tex]

 = 1.285

Since it is observed that [tex]|t| = 1.285 \leq t_c=1.833[/tex], it is then concluded that  [tex]\text{the null hypothesis is not rejected.}[/tex]

The p-value is p=0.231 and since p 0.231 ≥ 0.1, it is concluded that [tex]\text{the null hypothesis is not rejected.}[/tex]

Conclusion

Thus we concluded that [tex]\text{null hypothesis}[/tex] [tex]H_0[/tex] is not rejected. Therefore, the population mean [tex]\mu[/tex] is different than 20, at the 0.1 significance level.