The side of an Equileteral triangle is 12cm. What is its Area?

Answer:

298.3 square centimeters

Step-by-step explanation:

We are given

Slant height (l)= 14cm

Radius (r)= 5cm

Since we are given the slant height ,

the formula for surface area of a cone =

πrl + πr²

πr(l + r)

π = 3.14

Hence,

3.14 × 5(14 + 5)

3.14 × 5(19)

= 298.3 square centimeters

Answer:

Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]

Step-by-step explanation:

Sandy's older sister was given $2,400

She was told to keep the balance of the money after sharing with her siblings.

She gave  Sandy exactly $350

The objective is to write Sandy's portion.

Sandy's portion will be the ratio of the amount given to Sandy divided by the total amount at her sister disposal.

Let Sandy's older sister be y,

So, y = 2400

Sandy's portion = [tex]\dfrac{350}{2400}[/tex]

Sandy's portion = [tex]\dfrac{35}{240}[/tex]

Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]

Answer:

a) 22:25 is the earliest time

b)15 min

Step-by-step explanation:

Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....

10:10(standard) = 22:10 (military)

22:10 -> 15min-> 22:25

Answer:

a) 22:25 is the earliest time

b)15 min

Because

Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....

Answer:

.35 x + .70 (20) = .45(x+20)

50=x

Step-by-step explanation:

Let x = liters of 35% salt solution

We have 20 liters of 70%

We have a total of 20+x liters of 45%

.35 x + .70 (20) = .45(x+20)

Distribute

.35x + 14 = .45x +9

Subtract .35x from each side

14 = .10x +9

Subtract 9 from each side

5 = .10x

Divide each side by .1

5/.1 = x

50=x

Answer:

  This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Step-by-step explanation:

The point of the construction is to copy the angle. That is, the end result must be an angle with identical measure to the original. The construction so far has no angle at Y. Drawing ray YA will complete the construction and create the desired angle. That is, YA ...

  This is the other ray that will make up the angle ∠AYZ and will complete the construction.

Answer:

A. 3.8 grams

Step-by-step explanation:

A baking scale measures mass to the tenth of a gram, up to 650 grams. Which of the following measurements is possible using this scale?

a.3.8 grams

b.120.01 grams

c.800.0 grams

d.54 milligrams

Solution

The scale measures mass to the tenth of a gram

The scale measures up to 650 grams

a.3.8 grams

This measures to the tenth of a gram (to one decimal place) and it is not up to 650 grams

b.120.01 grams

This measures to hundredth of a gram ( 2 decimal places) and it is not up 650 grams.

c.800.0 grams

This measures to the tenth of a gram but exceeds the 650 grams limit

d.54 milligrams

This is in milligram, so it is wrong

Option a.3.8 grams is the only possible scale measurement among the options.

The correct answer is $15

Explanation:

The first step is to determine the total of oil that was used for the 5 batches. To find this, you just need to multiply the amount of oil used for one batch by the total batches.

1 cup of oil per batch x 5 batches = 5 cups of oil

This means, in the 5 batches the oil Dinesh used was 5 cups of oil. Additionally, you know the total of cups in the bottle of oil is 12 cups, and these 12 cups or total costs $36. Now to find what is the cost of the 5 cups use the rule of three and cross multiplication.

12 cups of oil = $36   1. Write the values

5 cups of oil  = x      

12 x = 180           2.  Cross multiply this means 36x 5 and 12 multipy by x

x = 180 ÷ 12        3. Solve the equation

x=  15 - Cost for 5 cups used in the batches

Answer: $53.95

Step-by-step explanation:

Given: [tex]\mu=0.75[/tex] pounds

[tex]\sigma= 0.2[/tex] pounds

n= 50

Two tailed critical z-value for 90% confidence level = 1.645

Let x be the total amount of food that a cafeteria should have on hand to be 90 percent confident that it will not run out of food .

z-score = [tex]\dfrac{x-\mu}{\sigma}[/tex] [tex]=\dfrac{x-0.75}{0.2}[/tex]

Then, [tex]\dfrac{x-0.75}{0.2}=1.645[/tex]

[tex]x-0.75=1.645\times0.2\\\\\Riightarrow\ x-0.75=0.329\\\\\Rightarrow\ x= 0.329+0.75\\\\\Rightarrow\ x= 1.079[/tex]

Foe 50 students, total amount of food = 1.079 x 50 = $53.95

hence, the cafeteria should have food of amount $53.95 so that it is be 90 percent confident that it will not run out of food.

Answer:

72 cubes

Step-by-step explanation:

Top view of the rectangular prism shows the unit cubes arranged in two rows along the length.

In each row number of unit cubes arranged = 9

Right view side of the prism shows the unit cubes arranged in two columns.

Number of unit cubes in each column = 4

Total number of cubes arranged in the prism = (Number of cubes in each row × Number of cubes arranged in two columns) × Number of columns

= (9 × 4) × 2

= 72

Therefore, number of cubes filled completely in the prism with no gaps = 72

Answer:

A- True

Step-by-step explanation:

If you search a picture of the graph then you will see it as well!!! Hope this helps!!!!

Answer:

2 in

Step-by-step explanation:

18/3=6 , 6 is the scale factor

12/6=2

Answer:

width= 2

Step-by-step explanation:

18 inches is the original height and we are now reducing that to 3 inches.

In order to do that, we have to divide 18 by 3 which equals 6.

Next, take the width of the rectangle, which is twelve and divide it by the scale factor of 6 which  equals 2.

Your final answers should be: width= 2

Answer:

2c^3(c+11)^2

Step-by-step explanation:

2c^5 + 44c^4 + 242c^3

Factor out the greatest common factor

2c^3(c^2+22c+121)

Recognizing inside the parentheses is (a+b) ^2 where a =c and b = 11

2c^3(c+11)^2

Answer:

8 hundred dollars

Step-by-step explanation:

The break even value means zero profit or loss over the five years period. So if 2017 profit is x, then we get:

Answer:

34.5

Step-by-step explanation:

5 times x(2.3) = 11.5.

11.5 times 3 is 34.5

you put 2.3 in place of x because x was the unknown value, but now that we know it is 2.33 we plug it in.

Answer: are numbers which  include all the rational numbers, such as -3 which is an integer and the fractions such as 5/4, and all the irrational numbers, such as √7, and π

Answer:

1:9 is my best guess because 9 is a factor of 3 and 1 would be the lowest ratio for a number less than 3 :)

Step-by-step explanation:

Hope this helps, have a good day :)

[tex]|\Omega|=6\\|A|=2\\\\P(A)=\dfrac{2}{6}=\dfrac{1}{3}[/tex]

Answer:

1/3

Step-by-step explanation:

The list of sample space's elements: {1, 2, 3, 4, 5, 6}

The number of elements in sample space: 6

The list of elements belonged to the event "choosing the number larger than 4": {5, 6}

The number of elements in the event: 2

Hence, the probability of event "choosing a number larger than 4":

P = number of event's elements/number of sample space's elements

  = 2/6

  = 1/3

Answer:

2,300,000pages  report.

Step-by-step explanation:

Given a USB drive with memory of 4.6*10⁶KB, in order to know the maximum number of pages a report can have so that it can be completely stored on the drive, the conversion factor must be used.

We must first understand that 1 page of a document uses up approximately 2kB of the storage.

Since 2kB = 1page

4.6*10⁶KB = x page

Cross multiply

2kB * x = 4.6*10⁶KB * 1

2x =  4.6*10⁶

x =  4.6*10⁶/2

x =  2.3*10⁶

x = 2,300,000

Hence the maximum number of pages that the report can have so that it can be completely stored on a USB drive that holds 4.6*10⁶KB is approximately 2,300,000pages  report.

Answer:

The answer is

Step-by-step explanation:

To factor the expression

2x² - 4x - 30

First factor 2 out of the expression

That's

2( x² - 2x - 15)

Next write - 2x as a difference

2( x² + 3x - 5x - 15)

Factor out x from the expression

That's

2 [ x( x + 3) - 5x - 15 ]

Factor out -5 from the expression

2 [ x ( x + 3) - 5( x + 3) ]

Factor out x+3 from the expression

We have the final answer as

Hope this helps you

Answer:

C. 2(x - 5) (x + 3)

Step-by-step explanation:

I took the test

Answer:

Please refer to attached image for the graph of inequality.

Step-by-step explanation:

Given the inequality:

[tex]y<-\dfrac{1}{5}x+1[/tex]

To graph this, first let us convert it to corresponding equality.

[tex]y=-\dfrac{1}{5}x+1[/tex]

As we can see that the above equation is a linear equation in two variables so it will be a straight line.

Now, let us find at least two points on the above equation so that we can plot them and then extend it to get the complete graph.

Two points that can be easily found, are:

1st put [tex]x = 0[/tex] , [tex]y=-\frac{1}{5}\times 0+1 =1[/tex]

So one point is (0, 1 )

Now, put y = 0,  

[tex]0=-\frac{1}{5}\times x+1\\\Rightarrow 1=\frac{1}{5}\times x\\\Rightarrow x = 5[/tex]

Second point is (5, 0)

Let us plot the points on the graph and extend the straight line.

Now, we know that it is an inequality, the are will be shaded.

As there is no equal to sign in the inequality, so the line will be dashed.

Let us consider one point and check whether that satisfies the inequality or not.

If the point is satisfied in the inequality, we will shade that area towards the point.

Let us consider the point (0, 0).

0 < 0 +1

Point is satisfied.

Please refer to the attached image for the graph of given inequality.

Answer:

2 (2x^2 + x - 5)

Step-by-step explanation:

Factor  2  out of  4 x^ 2

Factor  2  out of  2 x

Factor  2  out of  − 10

Factor  2  out of 2 (2x^2) + 2x

Factor  2  out of  2  ( 2 x^ 2 + x )  +  2  ⋅  − 5

Hope this can help you

Answer: 2 hours 15 minutes

Step-by-step explanation:

3/4 of an hour times 3 will be 9/4; each fourth is 15 minutes. 9 times 15 is 135 minutes, which is 2 hours and 15 minutes

Answer:

2.25 hours

Step-by-step explanation:

The man traveled 1/3 of the distance in 3/4 of an hour.

This means that he needs to travel for 3 times as long to travel the entire distance.

3 * 3/4 = 9/4 = 2.25

2.25 hours.

Or, 2 hours and 15 minutes (as 0.25 = 1/4).

Answer: I'm assuming you want this problem simplified.

6x + 11 + 3x

Combine like terms: 9x + 11

Your expression now looks like: 9x + 11

There is nothing left to simplify, so you're done!

Hope this helps!

Answer:

9x+11

Step-by-step explanation:

6x + 11 + 3x

Combine like terms

9x+11

Answer:

sorry i am late but the answer is The name of the shape on the right is M prime N prime O prime P prime Q prime R prime S prime because it is the image of the shape on the left. and if you dont  want to read that  its D

hope it helped anyone :)

The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right.

The name of the shape on the right is M’N’O’P’Q’R’S' because it is the pre-image of the shape on the left

find out more on Transformation at: https://brainly.com/question/1462871

Answer:

4:9

Step-by-step explanation:

To take the scale factor from distance to area, we square it

2:3  distance

Square each term

2^2 : 3^2  area

4:9

Answer:

See below

Step-by-step explanation:

Given:

AC ≅ CE

To Prove:

ΔABC ≅ ΔEDC

Proof:

Statements                           |     Reasons

ΔABC ⇔ ΔEDC                      |

AC ≅ CE                                  |      Given

∠ACB ≅ ∠ECD                       |   Vertical Angles are congruent

∠BAE ≅ ∠DAE                        | Alternate Interior Angles are Congruent

ΔABC ≅ ΔEDC                       | S. A . A Postulate

[Hence Proved]

Answer:

[tex]\boxed{\sf a) \ 15.9}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trig functions to solve for x.

cos θ = adj/hyp

cos(51) = 10/x

x = 10/cos(51)

x = 15.89015729

Answer:

705 meters

Step-by-step explanation:

[tex]cos~60=\frac{650^2+750^2-d^2}{2 \times 650 \times 750} \\2 \times 650 \times 750 \times \frac{1}{2}=50^2(13^2+15^2)-d^2 \\487500=2500(169+225)-d^2\\487500=2500(394)-d^2\\487500=985000-d^2\\487500-985000=-d^2\\d^2=497500\\d=\sqrt{497500}\\or~d\approx705.337 \approx 705~meters[/tex]

Answer:

7 0 5  M E T E R S !!!!!

Step-by-step explanation:

Answer:

64.5668 inches tall

Step-by-step explanation:

If you set up a proportion, you would have to do 1.64 times 39.37, which would equal 64.5668 inches.

Answer: C) similar, SAS similarity, triangle LQR

==============================================

Explanation:

The vertical angles KLJ and QLR are congruent. This forms the "A" in "SAS". The angles in question are between the marked sides.

KL = 18 is twice that of QL = 9, or put another way, KL/QL = 18/9 = 2. The ratio of the sides is 2. Also, JL/RL = 16/8 = 2 is the same ratio. Because both pairs of sides have the same ratio, the sides are in proportion. This helps form the two "S" letters of "SAS".

The original triangle has LKJ mentioned at the top. Note the order as its important. We start with L and move to K, so LK is the first segment mentioned. LK = 18 pairs up with LQ = 9, meaning that LQ must be the first segment mentioned of the answer triangle. Therefore LQR is the correct letter sequence if we start with point L. Writing QLR is not correct because Q is the first letter here but Q does not pair up with L.