△ABC = △DBC, AB= 10, AC=7 DC= ?

Answer:

Step-by-step explanation:

tan30=oposite/adjucent side

1/1.732=30/adjectent side

adjectent side=30*1.732

adjecent side=51.96m.

Answer:

24

Step-by-step explanation:

20+23+25+28=96

96/4

=24

I did it on Khan too! :)

Answer:

1/10

Step-by-step explanation:

6,7,8,9,10,11,12,13,14,15

ten TOTAL possible numbers= denominator

chance of picking the ONE possible number in mind= numerator

1/10

The probability is 1/10.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Given:

A magician asks an audience member to pick any number from 6 to 15

Possible outcome = {6,7,8,9,10,11,12,13,14,15}

So, chance of picking the number the magician has in mind = numerator

hence, the theoretical probability is = 1/10.

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The above question is not correctly written

Complete Question

The mean lifetime of a tire is 42 months with a variance of 49. If 145 tires are sampled, what is the probability that the mean of the sample would be greater than 42.8 months.

Answer:

0.083793

Step-by-step explanation:

We would be using the z score formula.

z score formula = z = (x - μ)/σ/√n

where

x is the raw score = 42.8

μ is the population mean = 42

σ is the population standard deviation =

In the above question, we were given variance = 49

Standard deviation = √Variance

= √49

= 7

n = number of samples = 145

z score = z = (x - μ)/σ/√n

= (42.8 - 42)/ (7/√145)

= 0.8/ 0.581318359

= 1.37618

Approximately to 2 decimal places= 1.38

Using the z score table to find the probability.

P(x ≤ 42.8) = P(z = 1.38) = 0.91621

P(x>42.8) = 1 - P(x<42.8)

1 - 0.91621

= 0.083793

Therefore, the probability that the mean of the sample would be greater than 42.8 is 0.083793

Answer:

Hello your question lacks the required option below is the diagram of the complete question with the options

answer : The absolute minima is 0 at x = (0,π ) the absolute maxima is 3 at x = [tex]\frac{\pi }{2}[/tex]  ( B )

Step-by-step explanation:

Attached below is the detailed solution of the problem

The absolute minima is 0 at x = (0,π ) the absolute maxima is 3 at x = [tex]\frac{\pi }{2}[/tex]  ( B )

Answer:

what idea and experience do you get after being lockdown for long three or four months due to corona virus. write your experience in the form of article that is published in school magazine on the topic lack of physical activity.

Step-by-step explanation:

Answer:

Parallel lines are two lines that are facing the same direction and never intersect.

Step-by-step explanation:

for example, the number II

those are two ones are straight lines pointing the same direction, and no matter how long they go on they will never touch.

Answer:

9.

1/3 has have the same denominator as 9. making that 3/9. 3/9 plus 6/9 equals 9/9 which also equals 1. 6 plus 2 is 8, and 8 plus 1 is 9

Answer:

Length = 10 cm

Width = 10-2 = 8 cm

Step-by-step explanation:

Area formula (L)(W)

80 = 10(x-2)

80 = 10x - 20

Add 20 to both side

100 = 10x

x= 10

Length = 10 cm

Width = 10-2 = 8 cm

Answer:B

Step-by-step explanation:

None of the others work

Given:

[tex]\bold{A. \ (16 - 12)2} \\\\\bold{B.\ - | -4 |} \\\\\bold{C. \ (96 \div 8) - 23} \\\\\bold{D.\ 24 - 42}[/tex]

Find:

Which expressions have a value of 4

Solving the given expression:

A)

[tex]\bold{\to (16 - 12)2 = (4)2=4\times 2=8} \\\\[/tex]

B)

[tex]\bold{\to - | -4 |} \\\\\bold{\therefore} \\\\ \to\bold{|4|=4 \ \ and \ \ |-4|=4}\\\\\bold{\because}\\\\\bold{\to - | -4 |=-(4)=-4} \\\\[/tex]

C)

[tex]\bold{\to (96 \div 8) - 23=( \frac{96}{8})-23= 12-23=-11}[/tex]

D)

[tex]\bold{\to 24 - 42=-18}[/tex]

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Answer:

See Explanation

Step-by-step explanation:

The question has mission options; However, the question is still solvable.

Given

[tex]A = \{a,b,c\}[/tex]

[tex]B = \{3,4,5,6\}[/tex]

Required

Determine possible ordered pairs of A to B

A function is of the form (x,y)

Let A be the range of the function and B, the domain

Let (x,y) be a function of A to B, where x represents any of the values in A sets and y represents any of the values in B

A ordered pair can only be regarded as a function if and only if it has unique y-values

Hence, a possible ordered pair is:

[tex](A,B) = \{(a,3),(b,4),(c,5)\}[/tex]

Another possible ordered pair is

[tex](A,B) = \{(a,4),(b,5),(c,6)\}[/tex]

Note that there as as many as possible ordered pair as long as the y-values are unique

There are many possible ordered pair as long as the y-values are unique.

           Given that, A = {a, b, c} and B = {3, 4, 5, 6}

           Order pair may be,

               [tex](a,3),(b,4),(c,5)[/tex]

    May be,   [tex](a,6),(b,5),(c,4)[/tex]

There are many possible ordered pair as long as the y-values are unique.

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Answer:

17

Step-by-step explanation:

let the side of square be x then length and breadth of rectangle will be x+1 and x-3

perimeter of rectangle=2(l+b)

64=2(x+1+x-3)

32=2x-2

x=17

Answer:

x = 3, -10

Step-by-step explanation:

Step 1: Write out quadratic

f(x) = x² + 7x - 30

Step 2: Set quadratic equal to 0

0 = x² + 7x - 30

Step 3: Factor quadratic

0 = (x - 3)(x + 10)

Step 4: Find roots

x - 3 = 0

x = 3

x + 10 = 0

x = -10

Answer:

we have 8 quarts of 40% antifreeze,

according to the britain equivalent, 1 quart = 1.13L

so, we have 8 * 1.13L  = 9.04 L

out of the 9.04 L, 40% is antifreeze

amount of antifreeze = 0.4 * 9.04 = 3.616 L

moles of antifreeze present = 3.616/22.4 = 0.16 moles

moles of antifreeze in 60% solution = 0.6 * v/22.4 = 0.027 * v          

(where v is the volume of final solution)

molarity of initial solution = 0.16/9.04 = 0.018 M

molarity of final solution = 0.027*v/v = 0.027 M

m1*v1  = m2*v2

0.018 * 9.04 = 0.027 * v

v = 0.018 * 9.04/0.027

v = 6.026 L

amount if antifreeze in the final solution = 6.026 * 0.027 =  

0.163 Moles of antifreeze

amount in L = 0.163 * 22.4 = 3.65 L

amount in quarts  = 3.65/1.13 = 3.23 quarts

Answer:

Step-by-step explanation:

1 km= 1000 m

1 dam= 10 m

8 km= 8000m

700 dam = 7000m

so Plane A

plane A is higher by 700m!

hope it helped!

Plane A  flying with greater altitude

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Given:

plane A= 8 km

plane  B= 700 dam

Now,

1 km= 1000 m

1 dam= 10 m

So,

8 km= 8000m

700 dam = 7000m

Hence, Plane A is flying higher.

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Answer:

B

Step-by-step explanation:

So we have the expression:

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

And we want to rewrite it in terms of i. Recall that i is:

[tex]i=\sqrt{-1}[/tex]

Therefore, we can simplify the expression as:

[tex]\sqrt{-10}=\sqrt{-1\cdot10}=\sqrt{-1}\cdot\sqrt{10}=i\sqrt{10}[/tex]

Therefore, the statement given is not correct.

And the correct answer is B.

Answer:

About 27.5 minutes

Step-by-step explanation:

When looking at the graph, you can see that the red line intersects about 27.5 minutes with $55.

Barry consumed almost 27.28 minutes.

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                                {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)      {Two point - slope form}

x/a + y/b = 1                                        {intercept form}

x cos(β) + y sin(β) = L                          {Normal form}

We have a graph shows Barry's monthly phone bill and the number of minutes used.

The points that lie on the graph are -

(0, 25) and (60, 90)

Slope of the line will be -

m = (90 - 25)/(60 - 0)

m = 65/60 = 1.1

[c] = 25

The equation of the line would be -

y = 1.1x + 25

For y = 55, we get -

55 = 1.1x + 25

1.1x = 30

x = 30/1.1

x = 27.28

Therefore, Barry consumed almost 27.28 minutes.

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Answer:

14+5x

Step-by-step explanation:

Combine like terms to get:

-10+5x+24=?

then add -10 to 24 to get 14 to get the new simplified equation

14+5x

Hope this helps!

Answer:

5x+14

Step-by-step explanation:

its all about combining like terms. add the -10 and the 24 together, and u get 14. then add the 7x and -2x, and that gives you 5x. and u cant go any further with that, so 5x+14 is your answer

Answer:

Answer B  (1,1), (2,2), (2,5), (5,5)

Step-by-step explanation:

Notice that although the image is not shown, of the given answers, the only points that have coordinates that belong to Quadrant I , are those that show oosittive number for both coordinates (for x and for y). That is  the only possible solution is:

answer B) : (1,1), (2,2), (2,5), (5,5)

Answer:

tan C = 3/2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan C = 3/2

Answer:

C

Step-by-step explanation:

The only way we can get 3/2 as a trigonometric ratio is as

tan c = O/A = 3/2

The rest don't work because sin and cos, uses the hypotenuse. The hypotenuse is 3.61 which is not either of the numbers in the ratio.

Only 2 and 3 work which are not in the hypotenuse.

Answer:

60

Step-by-step explanation:

From the question:

2 Cos x = 1

x =?

Thus, we can obtain the value of x as follow:

2 Cos x = 1

Divide both side by 2

Cos x = 1/2

Cos x = 0.5

Take the inverse of Cos.

x = Cos¯¹ (0.5)

x = 60

Therefore, the value of x is 60

**** Check ****

2 Cos x = 1

x = 60

2 Cos 60 = 1

2 × 0.5 = 1

1 = 1

Answer:

a) [tex]\mathbf{\mu_ \hat p = 0.6}[/tex]

b) [tex]\mathbf{\sigma_p =0.01732}[/tex]

Step-by-step explanation:

Given that:

population mean [tex]\mu[/tex] = 30,000

sample size n = 800

population proportion p = 0.6

a)

The mean of the the sampling distribution is equal to the population proportion.

[tex]\mu_ \hat p = p[/tex]

[tex]\mathbf{\mu_ \hat p = 0.6}[/tex]

b)

The standard deviation of the sampling distribution can be estimated by using the formula:

[tex]\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]\sigma_p = \sqrt{\dfrac{0.6(1-0.6)}{800}}[/tex]

[tex]\sigma_p = \sqrt{\dfrac{0.6(0.4)}{800}}[/tex]

[tex]\sigma_p = \sqrt{\dfrac{0.24}{800}}[/tex]

[tex]\sigma_p = \sqrt{3 \times 10^{-4}}[/tex]

[tex]\mathbf{\sigma_p =0.01732}[/tex]

The mean of a distribution is the average of the distribution.

The given parameters are:

[tex]\mathbf{n = 800}[/tex]

[tex]\mathbf{p = 0.6}[/tex]

(a) The mean

This is calculated as:

[tex]\mathbf{\bar x = np}[/tex]

So, we have:

[tex]\mathbf{\bar x = 800 \times 0.6}[/tex]

[tex]\mathbf{\bar x = 480}[/tex]

Hence, the mean is 480

(b) The standard deviation

This is calculated as:

[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]

So, we have:

[tex]\mathbf{\sigma = \sqrt{480 \times (1 - 0.6)}}[/tex]

[tex]\mathbf{\sigma = \sqrt{480 \times 0.4}}[/tex]

[tex]\mathbf{\sigma = \sqrt{192}}[/tex]

Take square roots

[tex]\mathbf{\sigma = 13.86}[/tex]

Hence, the standard deviation is 13.86

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Answer: 5:7 and 10:14 are equivalents to 20:28

Step-by-step explanation:

We have the ration 20:28, and we want to find equivalent ratios to this:

One way to do this is by dividing both numbers by the same number.

For example, both 20 and 28 are even numbers, then we can divide them by 2.

20/2 = 10

28/2 = 14.

Then we have that 10:14 is equivalent to 20:28.

And we can do it again, this time only with words:

10:14 means that for each 10 glow sticks, we have 14 stickers.

The taking half of each, we have that for each 10 = 5 + 5 glow sticks, we have 14 = 7 + 7 stickers.

Then the ratio 5:7 is also equivalent to 10:14 and to 20:28

Answer: The answer would be "then a student earns a B."

Step-by-step explanation: The statement is "A student who earns 85% earns a B." The hypothosis is "If a student earns 85%..." So then the conclusion would be "then a student earns a B."

Answer: then a student gets a b

Step-by-step explanation: no

Answer: 29x+23

Step-by-step explanation:

In order to find the area of the shaded region, we need to subtract the unshaded region in middle from the large rectangle

-------------

Step 1. Find the area of the large rectangle

A=lw (length × width)

A=(2x+4)(3x+6)

A=6x²+12x+12x+24 ⇔ Use FOIL (First Outer Inner Later)

A=6x²+24x+24

--------

Step 2. Find the area of the unshaded region

A=lw

A=(2x-1)(3x-1)

A=6x²-2x-3x+1 ⇔ Use FOIL

A=6x²-5x+1

-------

Step 3. Subtract unshaded from the large rectangle to get the area of shaded region

A (shade region)=large rectangle-unshaded region

A (shade region)=(6x²+24x+24)-(6x²-5x+1)

A (shade region)=6x²+24x+24-6x²+5x-1 ⇔ get off parenthesis

A (shade region)=6x²-6x²+24x+5x+24-1 ⇔ move the like term together

A (shade region)=29x+23 ⇔ combine like term

Answer:

Step-by-step explanation:

1. The last step claims the lengths PQ and RQ are the same based on the congruence of triangles SQR and TQP. In order to make that claim, some step in the proof needs to claim that those triangles are congruent. That claim is the missing step:

  ΔSQR ≅ ΔTQP --- ASA congruence postulate

__

2. Without a claim of triangle congruence, the claim of triangle side congruence is unsupported. The proof must contain a claim that the triangles containing corresponding sides PQ and RQ are congruent.

Answer:

901 grams

Hope it helps

Answer:

1.the corresponding angles are propositional

2.the corresponding sides are proportional

The properties of similar triangles  is the corresponding angles are congruent and the corresponding sides are proportional.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio or proportional.

The properties of similar triangles include the following;

1. The corresponding angles are congruent

2. The corresponding sides are proportional

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Answer:

a + 4b - 4

Step-by-step explanation:

Step 1: Write out expression

3a + 4b - 2a + 3 - 7

Step 2: Combine like terms (a)

a + 4b + 3 - 7

Step 3: Combine like terms (constants)

a + 4b - 4

Answer:

1a+4b-4

or

a+4b-4

Step-by-step explanation:

3a-2a= 1a or just a

4b=4b

-7+3= -4

1a+4b-4

or

a+4b-4

Answer:

B.

Step-by-step explanation:

So we have the function:

[tex]y=-2x^3[/tex]

As we can see, the degree of this function is 3. This is a cubic function. In other words, this is nonlinear. Let's go through each of the choices:

Already, we can eliminate C and D since the function is nonlinear as it's a cubic function. So, we only need to check A and B.

A: If we change the -2 to 2 like so:

[tex]y=-2x^3\\y=2x^3[/tex]

The function remains a cubic. The only thing we've changed is how the graph is oriented. With -2, the graph goes from top to bottom. With 2, the graph goes from bottom to top. Nevertheless, it's still a cubic function. What we need to change is the exponent and not the coefficient. A is not correct.

B: If we change the 3 to 1 like so:

[tex]y=-2x^3\\y=-2x^1\\y=-2x[/tex]

This is now a linear equation. The degree is 1 and as you can probably picture, it's a downwards sloping line. The correct answer is B.

Simplify the numerator and denominator first:

5/8 + 3/4 = 11/8

-2/3 - 5/6 = -3/2

Now you have 11/8 / -3/2

When dividing two fractions change division to multiplication and flip the second fraction over:

11/8 x -2/3 = 11 x -2 / 8 x 3 = -22/24

-22/24 reduces to -11/12

The answer is -11/12