Proving the Sum of the Interior Angle Measures of a Triangle Is 180°

1kg = 1000g

51/2 kg= 51/2×1000=51×500=25500g

25500g+450g= 25950g

Answer:

[tex]5950g[/tex]

Step-by-step explanation:

[tex]5 \frac{1}{2} kg \\ = 5kg \: 500g \\ = 5500g[/tex]

[tex] \: \: \: \: \: \: 5500g \\ + \: \: \: \: 450g \\ =5950 g[/tex]

[tex] = 5950g = 5kg \: 950g[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

9/32

hope this helps

Answer:

  4 square units

Step-by-step explanation:

If corresponding sides have equal lengths, the triangles are congruent by the SSS postulate. They must have equal areas: 4 square units.

ΔDEF has an area of 4 square units.

Answer:

if the corresponding sides are equal the 2 triangles are congruent  ( by SSS) so their areas are the same.

So area of triangle DEF = 4 sq units

Step-by-step explanation:

Answer:

w = -6.5

Step-by-step explanation:

We want to get rid of the coefficient of w so that we can solve for w. To do that, let's divide both sides of the equation by -2. When we do so, we get -13/2 = w. Hope this helps!

Answer:

The height of the cloud cover is 441.66 meters

Step-by-step explanation:

Distance = 560 m

The height of the cloud cover = h meters

According to the diagram, the worker stands at point R,

Let RT = x

tan 45⁰ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{h}{x}[/tex]

therefore, 1 =  [tex]\frac{h}{x}[/tex], h = x

Then tan 75⁰ = [tex]\frac{h}{560-x}[/tex], substituting x = h, we have

3.732 = [tex]\frac{h}{560-h}[/tex]

3.732(560 - h) =  h

3.732 × 560 = 3.732h + h

2089.92 = 4.732h

h = 441.66 m

The height of the cloud cover is 228.62 meters

The given parameters are:

[tex]\mathbf{\alpha = 75^o}[/tex]

[tex]\mathbf{\theta = 45^o}[/tex]

[tex]\mathbf{d = 560m}[/tex]

See attachment for the image of the cloud cover.

From the attached image, we have the following sine ratios:

[tex]\mathbf{sin(75) = \frac hx}[/tex]

[tex]\mathbf{sin(45) = \frac h{560 - x}}[/tex]

Make h the subject in both equations

[tex]\mathbf{ h = xsin(75)}[/tex]

[tex]\mathbf{ h = (560 - x) sin(45)}[/tex]

So, we have:

[tex]\mathbf{ xsin(75) = (560 - x) sin(45)}[/tex]

Open brackets

[tex]\mathbf{ xsin(75) = 560sin(45) - x sin(45)}[/tex]

Collect like terms

[tex]\mathbf{ xsin(75) + x sin(45)= 560sin(45) }[/tex]

Evaluate sine 45 and 75

[tex]\mathbf{ 0.9659x + 0.7071x= 560 \times 0.7071}[/tex]

[tex]\mathbf{ 1.673x= 395.976}[/tex]

Divide both sides by 1.673

[tex]\mathbf{ x= 236.69}[/tex]

Recall that:

[tex]\mathbf{ h = xsin(75)}[/tex]

So, we have:

[tex]\mathbf{h = 236.69 \times 0.9659}[/tex]

[tex]\mathbf{h = 228.618871}[/tex]

Approximate

[tex]\mathbf{h = 228.62}[/tex]

Hence, the height of the cloud cover is 228.62 meters

Read more at:

https://brainly.com/question/16979479

Answer:

The mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively.

Step-by-step explanation:

Let the random variable X be defined as the number of correct answers marked by a student.

It is provided that each question has 5 possible choices, 1 of the which is correct.

Then the probability of marking thee correct option is:

[tex]P(X)=\frac{1}{5}=0.20[/tex]

There are a total of n = 20 questions to be answered.

As the students does not the answer to any question, they would be guessing for each question. This implies that for a random question, all the five options has the equal probability of being correct and each of the five options can be correct independently from the other.

All these information above indicates that the random variable X follows a Binomial distribution with parameters n = 20 and p = 0.20.

The mean and standard deviation of a Binomial distribution are:

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

Compute the mean and standard deviation of the random variable X as follows:

[tex]\mu=np=20\times 0.20=4\\\\\sigma=\sqrt{np(1-p)}=\sqrt{20\times 0.20\times(1-0.20)}=1.789[/tex]

Thus, the mean and standard deviation of the number of questions that each student gets correct are 4 and 1.789 respectively.

According to the question,

The probability of making 3 correct options will be:

→ [tex]P(X) = \frac{1}{5}[/tex]

            [tex]= 0.20[/tex]

Total number of questions,

As we know,

The mean will be:

→ [tex]\mu = np[/tex]

By substituting the values, we get

     [tex]= 20\times 0.20[/tex]

     [tex]= 4[/tex]

and,

The standard deviation will be:

→ [tex]\sigma = \sqrt{np(1-p)}[/tex]

      [tex]= \sqrt{20\times 0.20\times (1-0.20)}[/tex]

      [tex]= 1.789[/tex]

Thus the responses above are correct.

Learn more about standard deviation here:

https://brainly.com/question/20896613

Answer:

1) 38

2) 3

Step-by-step explanation:

f(x)=36+2

f(x)=38

29=9x+2

27=9x

x=3

Question: What is the value of the function at x=−2?

Answer: y=2

Step-by-step explanation: I took the test.

*THIS IS THE CORRECT ANSWER. PLEASE DON'T ANSWER 3. IT IS WRONG!*

Answer:

> 48"

Step-by-step explanation:

> represents greater than 48"

Answer:

  1/2

Step-by-step explanation:

This can be done several ways. Perhaps the easiest is to use the decimal equivalents:

  (2 3/4)/(5 1/2) = 2.75/5.5 = 0.5

__

If you want to use the numbers given, the usual procedure is to convert them to improper fractions and do the division that way:

  2 3/4 = (4·2 +3)/4 = 11/4

  5 1/2 = (2·5 +1)/2 = 11/2

Now, the problem can be written as ...

  (2 3/4) / (5 1/2) = (11/4) / (11/2)

This sort of division problem can be solved two ways:

  invert and multiply (the denominator is inverted)

  = (11/4) × (2/11) = (11·2)/(11·4) = 2/4 = 1/2

  use a common denominator (for the two fractions)

  = (11/4) / (11/2) = (11/4) / (22/4) = 11/22 = 1/2

The quotient is 1/2.

_____

Additional comments

It is helpful in many cases to just use decimal equivalents for the calculation. To do that, you need to be familiar with the equivalents of commonly used fractions. I find it is usually sufficient to know the unit fractions in each case. Then you can multiply or add to find the others.

1/9 = 0.1...(1-digit repeat), 1/8 = 0.125, 1/7 = 0.142857...(6-digit repeat), 1/6 = 0.16...(1-digit repeat), 1/5 = 0.2, 1/4 = 0.25, 1/3 = 0.3...(1-digit repeat), 1/2 = 0.5

__

I learned the "invert and multiply" method for dividing fractions when I was in school. The Common Core math apparently also teaches the method of matching the denominators of a compound fraction. Then the result is the ratio of numerators. (A variation not taught is that you can match the numerators and use the inverse of the ratio of denominators. Both of these methods can be validated using the "invert and multiply" method. (11/4)/(11/2) = 2/4)

"Invert and multiply" is another way of saying that division is the same as multiplication by the reciprocal. This applies everywhere, not just in fraction problems.

Answer:

A Type II error happens when the null hypothesis failed to be rejected, although it is false and the alternative hypothesis is true.

In this context, would be that the test does not give enough evidence to support the claim that the new procedure reduces the average cost, although it really does reduces it.

The new procedure is effective, but the sample does not give enough evidence.

Step-by-step explanation:

Answer:

17 i would say it is D

18 i belive it is B

19 it is c

20 A

Answer:

1436.76 m³

Step-by-step explanation:

Volume of sphere= 4/3 π r ³

V= 4/3(3.14)(7)³

V=4/3(3.14)(343)

V= 4310.26 / 3

V= 1436.76 m³

Answer:

9k/64^2 (9k^2/64^2)

Step-by-step explanation:

Answer:

9k^2/64

Step-by-step explanation:

3*3=9

k*k=k^2

8*8=64

Answer:

1/3

Step-by-step explanation:

The total number of marbles

10+4+7 = 21

P(blue) = blue marbles / total marbles

            = 7 / 21

            = 1/3

Answer:

both measures show strong growth in CEO

Step-by-step explanation:

350 firms in 2018 was $17.2 million- or $14.0 both show that they have a strong growth in the last  2 years.

Answer:

The answer is B "The annual change in production has exceeded the annual change in the average salary."

Step-by-step explanation:

Yes

Answer:

The answer is

6.25×30= 18.75

I'm not sure but this is what I think

Answer:

Step-by-step explanation:

The fill-in for the first box is found by counting spaces between 0 and 2/5. There are 6 of them.

__

Since 6 spaces = 2/5, the value of 1 space is 1/6 of 2/5. We must multiply 2/5 by 1/6 to find the value of 1 space:

  1 space = (2/5)(1/6) = 2/30 = 1/15

This is the number that goes in the second box.

__

To find the value of x, count all the spaces. There are 13, so the value of x is 13 times the value of 1 space:

  x = 13(1/15) = 13/15

This is the number that goes in the last box.

the answer is B

Step-by-step explanation:

and I would love 20 points

Answer:

  (1, –5)

Step-by-step explanation:

It is relatively easy to try the offered solutions to see what works.

(1, -5)

  3(1) +10(-5) = -47 . . . true

  5(1) -7(-5) = 40 . . . true

(1, -5) is the solution

_____

As a check, you can try some of the other choices:

(1, 5)

  3(1) +10(5) ≠ -47

(-1, -5)

  3(-1) +10(-5) ≠ -47

(-1, 5)

  3(-1) +10(5) ≠ -47

None of the other choices works in the first equation, so they're not the solution.

Answer:

(1,-5)

Step-by-step explanation:

1)get desmos

2)put in numbers

3)where they intersect is the answer.

easy as pie... oh wait pie ain't easy...

easy as ramen

Answer:

10 ppl play sport. 2/5= 4/10 so 4 ppl play soccer

Step-by-step explanation:

The question is incomplete:

Healthy Grains is planning a new design for its best-selling oatmeal. It has four containers to choose from. It costs the company $0.03 per cubic inch of oatmeal to fill a container. The company does not want the new container to cost more than $4.00 to fill. Which container should the company use? Use 3.14 for Pi.

Container A: A cylinder with height 7 inches and diameter 5 inches.

Container B: A cylinder with height 10 inches and B = 12.57 inches squared.

Container C: A cylinder with height 5.5 inches and radius 4 inches.

Container D: A cylinder with height 6 inches and radius 3 inches.

Answer:

Container B

Step-by-step explanation:

To find the answer you have to calculate the volume of each container and then, multiply that for $0.03 that is the cost per cubic inch to fill a container.

The formula to calculate the volume of a cylinder is:

V=πr^2h, where

r= radius

h= height

πr^2= base area

Container A:

The radius is half the diameter, so 5/2=2.5.

V= 3.14*(2.5^2)*7= 137.37

Cost= 137.37*0.03= 4.12

Container B:

12.57 inches is the base area, so:

V= 12.57*10= 125.7

Cost= 125.7*0.03= 3.77

Container C:

V= 3.14*(4^2)*5.5= 276.32

Cost= 276.32*0.03= 8.28

Container D:

V= 3.14*(3^2)*6

V= 169.56*0.03= 5.08

According to this, the answer is that the container that the company should use is container B because it costs less than $4.00 to fill.

Answer:

Ginger still has 40 percent of her book to read. If she has read 180 pages, the number of pages she still have to read:

N = 180 x (100 - 40)/40 = 270 pages

Hope this helps!

:)

Answer:

Step-by-step explanation:

In order to subtract by adding up 65-39, we need to add -39 to the value of 65. This can be rewritten in this way;

65+(-39)

The equation above is similar to the one given because the product of a minus and a plus sign will still give us back a minus sign.

on solving;

65+(-39) = 26

H = 8 + x

H - 20 = 3(x - 20)

8 + x - 20 = 3(x - 20)

x - 12 = 3x - 60

48 = 2x

24 = x (Jane) -->

33 = H (Helen)

Answer:

231.5

five tenths = 0.5

Answer:

1 1/3

Step-by-step explanation:

take the denominator and times it to the mixed number.

so 3*1 = 3

then add the numerator to that, so

3 + 1 = 4

making it, 4/3

Answer: 1 is D

2 is c

Step-by-step explanation:

Answer:

  33.7 m at 1.7 seconds

Step-by-step explanation:

For quadratic ax^2+bx+c, the line of symmetry (x-coordinate of the vertex) is ...

  -b/(2a)

For your quadratic, the vertex (highest point) is reached at time ...

  t = -(17)/(2(-4.9)) = 17/9.8 ≈ 1.7 . . . . seconds

__

The height at that time is ...

  f(17/9.8) = (-4.9(17/9.8) +17)(17/9.8) +19 = 289/19.6 +19 ≈ 33.7 . . . meters

_____

Comment on the function evaluation

We have used the "Horner form" of the function to make evaluation easier.

  f(t) = (-4.9t +17)t +19

Answer:

[tex]z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936[/tex]  

The p value can be founded with this formula:

[tex]p_v =P(z<-0.936)=0.175[/tex]  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor

Step-by-step explanation:

Information given

[tex]\bar X_{1}=7.6[/tex] represent the mean for Gibbs products

[tex]\bar X_{2}=8.1[/tex] represent the mean for the competitor

[tex]\sigma_{1}=2.3[/tex] represent the population standard deviation for Gibbs

[tex]\sigma_{2}=2.9[/tex] represent the sample standard deviation for the competitor

[tex]n_{1}=40[/tex] sample size for the group Gibbs

[tex]n_{2}=55[/tex] sample size for the group competitor

[tex]\alpha=0.05[/tex] Significance level provided

z would represent the statistic

Hypothesis to verify

We want to check if babies using the Gibbs brand gained less weight, the system of hypothesis would be:  

Null hypothesis:[tex]\mu_{1}-\mu_{2}=0[/tex]  

Alternative hypothesis:[tex]\mu_{1} - \mu_{2}< 0[/tex]  

The statistic would be given by:

[tex]z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{(7.6-8.1)-0}{\sqrt{\frac{2.3^2}{40}+\frac{2.9^2}{55}}}}=-0.936[/tex]  

The p value can be founded with this formula:

[tex]p_v =P(z<-0.936)=0.175[/tex]  

Since the p value is higher than the significance level provided of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true mean for the Gibbs brand is significantly lower than the true mean for the competitor