Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

Answer:

DE = 21

Step-by-step explanation:

Recall: the ratio of the corresponding side lengths of similar triangles are equal

Given that ∆ABC ~ ∆DEF, therefore,

AB/DE = BC/EF = AC/DF

AB = 8.4

DE = x

BC = 10

EF = 25

AC = 16.5

DF = 41.25

Let's find DE using AB/DE = BC/EF. Thus:

8.4/x = 10/25

Cross multiply

x*10 = 25*8.4

10x = 210

Divide both sides by 10

x = 210/10

x = 21

DE = x = 21

Answer:

0

Step-by-step explanation:

12.5/3.79 = 3.2981530343

3.2981530343 rounded = 3.3

1/3 = 3.33333333333333

3.33333333333333 rounded = 3.3

3.3 - 3.3 = 0

9514 1404 393

Answer:

  $0.03 per ounce

Step-by-step explanation:

The unit rate for the smaller bag is ...

  $1.00/(3 oz) = $0.333 /oz

For the larger bag, it is ...

  $3.79/(12.5 oz) = $0.303 /oz

Then the difference in unit rates is ...

  $0.333 -0.303 = $0.03 . . . per ounce

Answer:

40°

Step-by-step explanation:

A parallelogram is a quadrilateral (a four-sided object) with parallel sides

Some of the characteristics of a parallelogram includes:

1. Opposite sides and angles are congruent.

2. Opposite angels are congruent  

3. Consecutive angles are supplementary  

4. The diagonals bisect each other

Angle DBC = ABD = 35 (alternate angles are equal)

Angle ADB = 180 - 35 - 105 = 40

I subtracted from 180 because sum of angles in a triangle is equal to 180

Answer:

3 / 8 litres

Step-by-step explanation:

Total soup broth = 6 liters

Vegetable soup = 3 3/3 litres = 3 + 1 = 4 litres

Beef soup = 1 5/8 litres

Fraction of soup left :

Total - (vegetable + beef)

6 - (4 + 1 5/8)

6 - 5 5/8

6 - 5 - 5 /8

1 - 5/8

(8 - 5) / 8

= 3 / 8 litres

Answer:

85%

Step-by-step explanation:

to find percent of the throws made put (throws made/total free throws)*100

so (85/100)*100= 85%

Answer:

1 option 1 option 1 option

Answer: 1st choice

Step-by-step explanation: This is because the minimum is 5 in the box and whisker plot. And it matches with choice 1 .And the maximum is 35 which matches with choice 1.YOu have to find median of choice 1 by crossing out numbers until you have the middle number.

Answer:

D

Step-by-step explanation:

Answer:

11 pieces

Step-by-step explanation:

19 1/4 ÷ 1 3/4

19 x 4 = 76 + 1 = 77

1 x 4 = 4 + 3 = 7

77/4 ÷ 7/4

77/4 ÷ 7/4 = 11/1

11 pieces

(Just copy my work above for Part B)

Answer:

192

Step-by-step explanation:

Remove parentheses from the expression

4·6·8

24·8

192

Hope I helped :)

Answer:

I added the answer as a screenshot, using math solvers is helpful for math problems, I haven't learned this yet but I found the answer. Also, I only need one more person to mark me brainliest to move onto the next level which is expert.

Hope I helped :)

Answer:

(4,-5)

Explanation:

Answer:

36 green apples

Step-by-step explanation:

Red=40%

Green =x%

40/100 × 60apples

0.4×60

24red apples

so 60-24

36green apples

Answer:

b) 36.

Step-by-step explanation:

Justicemoya35 has an excellent answer, but I will provide a slightly different approach!

According to the word problem, the box contains 60 apples.

If 40% of the apples are red, then 60% of the apples are green.

As I mentioned before, there are 60 apples; 60% of the 60 apples are green.

This means we have the find 60% of 60.

We can find the percentage of a number by using this formula:

60% OF 60

[tex]\frac{is}{of} =\frac{percent}{100}[/tex]

[tex]\frac{x}{60} =\frac{60}{100}[/tex]

Now that I've correctly set up the problem, we cross multiply, then divide the products.

[tex]60*60=3600[/tex]

[tex]100*x=100x[/tex]

[tex]3600/100x=36[/tex]

[tex]x=36.[/tex]

Therefore, 36 apples are red.

Answer:

[tex]y=-2x+8[/tex]

Step-by-step explanation:

In slope-intercept form, the equation of a line is given by [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the line, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] represent the coordinates of any point the line passes through.

Since we're given two points the line passes through, we can find the slope of the line using the slope formula [tex]m=\frac{\Delta y}{\Delta x}[/tex]:

[tex]m=\frac{-8-6}{8-1}=\frac{-14}{7}=-2[/tex]

Now we can plug in any point the line passes through to find the y-intercept:

[tex]6=-2(1)+b,\\6=-2+b,\\b=8[/tex]

Thus, the equation of this line is equal to [tex]y=-2x+8[/tex].

Answer:

37.68 cm

Step-by-step explanation:

Formula = 2πr

2 * 3.14 * 6

3.14 * 12 = 37.68

37.68 cm

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

37.68 the first answer

Step-by-step explanation:

Answer:

3^16

Step-by-step explanation:

See The image below for steps:)

Answer:

3^16

Step-by-step explanation:

Simply follow the laws of exponents and multiply the exponents.

3^16

Answer:

Step-by-step explanation:

area of circle=πr^2

=3.14*(4)^2

=3.14*16

=50.24 ft^2

It would be a rectangular prism

Answer:

v=3.14 r 2 h

3.14 (2)(2)(7)= 87.9

Answer:

The answer for the Volume is 87.9 to 1d.p or 88in³ to the nearest tenth

Step-by-step explanation:

Volume of a cylinder =pir²h

r=d/2=4/2=2in

V=3.14×2²×7

V=3.14×4×7

V=87.92in³

V=87.9in³ to 1d.p

V=88in³ to the nearest tenth

Answer:

3.33

4.33

TVE figures is that

Answer:

The standard deviation of the sampling distribution of sample means would be 0.8186.

Step-by-step explanation:

We are given that

Mean of population=23.2 pounds

Standard deviation of population=6.6 pounds

n=65

We have to find the standard deviation of the sampling distribution of sample means.

We know that standard deviation of the sampling distribution of sample means

=[tex]\frac{\sigma}{\sqrt{n}}[/tex]

Using the formula

The standard deviation of the sampling distribution of sample means

=[tex]\frac{6.6}{\sqrt{65}}[/tex]

[tex]=0.8186[/tex]

Hence,  the standard deviation of the sampling distribution of sample means would be 0.8186.

Answer:

According to me it should be Option B, 15.31

Hope this helps!

The expected value for the age of a randomly chosen student is,

⇒  15.38

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that:

Total number of students,

⇒ n = 1500,

And, Age : 13, 14, 15, 16, 17, 18

Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01

Now,

We can Calculate the expected value as shown below,

E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01

E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18

E = 15.38

Therefore, The expected value for the age of a randomly chosen student is 15.

To know more about probability:

brainly.com/question/743546

#SPJ7

Answer:

Step-by-step explanation:

Point-slope form implies that we need the slope. Let's find that first. Point-slope form, btw, is [tex]y-y_1=m(x-x_1)[/tex], and the formula to find slope is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] so filling in:

[tex]m=\frac{2-(-2)}{6-3}=\frac{4}{3}[/tex] so the slope is a fraction. No problem. It looks the point (3, -2) was used to write the line, so the line in point-slope form using that point is

[tex]y-(-2)=\frac{4}{3}(x-3)[/tex] which simplifies a bit to

[tex]y+2=\frac{4}{3}(x-3)[/tex]. Rewriting in standard form using integers means that we get x and y on the same side of the equals sign, and no fractions allowed. Begin by distributing through the parenthesis to get

[tex]y+2=\frac{4}{3}x-4[/tex] and get rid of the 3 in the denominator by multiplying everything by 3:

3y + 6 = 4x - 12. Now get the x and y on the same side and the constants on the other side.

-4x + 3y = -18. The choice you want is the first one.

Answer:

A. x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 216 = 6^{2x - 1}[/tex]

Step 2: Solve for x

Answer:

(i)

[tex] x \alpha y {3} \\ \frac{x}{y {3} } = k[/tex]

(ii)

[tex] \frac{x}{y {3}^{} } = \frac{x}{y {3}^{} } \\ \frac{32}{ {2}^{3} } = \frac{x}{6 {}^{3} } \\ \frac{32}{8} = \frac{x}{216} \\ x = 864[/tex]

(iii)

[tex] \frac{32}{8} = \frac{108}{y {}^{3} } \\ {y}^{3 } = 27 \\ y = \sqrt[3]{27 } \\ y = 3[/tex]

9514 1404 393

Answer:

  480 ft

Step-by-step explanation:

The geometry involves two similar triangles. The ruler at arms length forms a triangle that has the opposite side 3 inches high and 24 inches (2 ft) away. That is, the distance from the eye to the ruler is 8 times the height of the ruler.

The triangle involving the lighthouse is similar. That is, the angles in it are the same, so the sides are proportional to those in the smaller (ruler) triangle. The distance to the lighthouse will be 8 times the height of the lighthouse, just as the distance to the ruler is 8 times the height of the ruler.

  8 × 60 ft = 480 ft

The lighthouse is 480 feet away.

Answer:

It depends and analysis maybe with the values kept and with the values deleted depending on what we intend to find with the data.

Step-by-step explanation:

When conducting data analysis, a large chunk of time is usually spent trying to ensure that the data is prepared to be used for the require analysis. To ensure this, we tidy up the data by doing the following :

Changing the data format for variables whose units do not conform and so on.

The method of dealing with missing data is essential during data analysis. Missing data may be replaced with the mean value of the observation or completely removed. Based on the scenario, the sample size is 250 ; number of values with unusually high salary values are just 2, hence, removing this values shouldn't pose much of a threat to our data and shouldn't have much effect on the outcome. Hence, removing the Outliers.

Similarly, this unusually high values may signify certain purpose or give certain critical information about the salary and hence may not be deleted

Depending on what we hope to discover from the data, an analysis may be performed

A simple random sample is a subset of persons picked at random, all with the same probability, from a larger set of individuals. It is a method of choosing a sample at random.

When performing data analysis, a significant amount of work is typically dedicated to making sure the data is ready to be used for the required analysis. We clean up the data in the following ways to make sure of this

changing the data format for variables with non-conforming unit measurements.

During data analysis, the way missing data are handled is crucial. Missing data can either be fully eliminated or replaced with the observation's mean value. According to the scenario, the sample size is 250 there are only 2 values with abnormally high salary values, therefore deleting these values shouldn't constitute significant harm to our data or have a significant impact on the results. thus eliminating the Outliers

learn more about random samples here :

https://brainly.com/question/12719656

#SPJ2

Answer:

160,000

Step-by-step explanation:

                   251

                × 638

     _______________

                2008

                753

    +       1506

__________________

            160138

Product to the  nearest thousand = 160,000