The angles in a triangle are in the ratio 1:2:3 a) Show that the triangle is a right -angled triangle b) The hypotenuse of the triangle is 19cm long. Calculate the length of the shortest side in the triangle

Answers

Answer 1

Answer:

8.5 cm

Step-by-step explanation:

Angles of the triangle:

x+2x+3x= 1806x= 180x= 3030°, 60° and 90°

Right triangle as it has 90° angle

Sides are a, b and 19 cm

sin 30°= a/19 ⇒ a= 19 sin 30°= 19*0.5= 8.5 cm  = shortest sidesin 60°= b/19 ⇒ b= 19 sin 60°= 19*0.866= 16.45 cm

Related Questions

The height of a cylinder is twice the radius of its base.
What expression represents the volume of the cylinder, in
cubic units?
2x
47x2
2x
x2 + 2x
O2 + x
Save and Exit
Next
Submit
Mark this and return

Answers

Step-by-step explanation:

The volume of a cylinder is given by :

[tex]V=\pi r^2 h[/tex]

r is the radius of the base of a cylinder

h is height of cylinder

The height of a cylinder is twice the radius of its base. It means that h = 2r

So, volume of cylinder becomes :

[tex]V=\pi r^2(2r)\\\\V=2\pi r^3[/tex]

So, the volume of the cylinder is given by the expression [tex]2\pi r^3[/tex].

Help meeeeeeeeeeeeeee!!!!!!​

Answers

Answer:

2x+3=9

2x=6

x=3

3w-1=14

3w=15

w=5

7y+2=30

7y=28

y=4

5x+20=35

5x=15

x=3

6c-12=48

6c=60

c=10

8m-4=20

8m=24

m=3

7w+13=90

7w=77

w=11

12p-18=30

12p=48

p=4

9w-5=67

9w=72

w=8

10a+40=100

10a=60

a=6

9x-24=84

9x=108

x=12

7w+1=1

7w=0

w=0

your welcome

Answer:

The answers will be listed below:

A.  [tex]x=3[/tex]

B.  [tex]w=5[/tex]

C.  [tex]y=4[/tex]

D.  [tex]x=3[/tex]

E. [tex]c=10[/tex]

F. [tex]m=3[/tex]

G.[tex]w=11[/tex]

H. [tex]p=4[/tex]

I.  [tex]w=8[/tex]

J. [tex]a=6[/tex]

K. [tex]x=12[/tex]

L.[tex]w=0[/tex]

I would show how to do it but it will take to long.

Here's for the last one

Hope this helps.

11 pens weigh 53.43 grams how many grams will 2 pens weigh

Answers

Answer:

9.72

Step-by-step explanation:

53.43/11 = 4.86

4.86*1 = 9.72

Answer:

2 pens will weigh about 9.7 grams.

Step-by-step explanation:

1. First, you divide 53.43 by 11 which gives you 4.85 grams (I used the first 2 digits.)

2. Since you know that 1 pen weighs about 4.85 grams, you multiply 4.85 by 2 to find the amount of grams for 2 pens. The answer is 9.7 grams.

Which set of numbers can represent the side lengths in centimeters of a right triangle?
8.12.15
10 24 26
12. 20, 25
0 15 18.20

Answers

Answer:

8.12.15

Step-by-step explanation:

mark brainliest plz

Which graph shows a system of equations with no solutions? On a coordinate plane, the graphs of 2 circles are shown. Both circles have a center at (0, 0). The smaller circle is within the larger circle and the smaller circle has a radius that is 2 units smaller than the larger circle. On a coordinate plane, a graph of a line and a parabola are shown. The line is horizontal to the x-axis at y = negative 5. The parabola opens up and its vertex on the line. On a coordinate plane, the graphs of 2 circles are shown. Both circles are in quadrant 1, and they intersect each other. On a coordinate plane, the graphs of 2 parabolas are shown. Both parabolas open up and they intersect each other at (0, 0). The first parabola has a vertex in quadrant 3 and the second parabola has a vertex in quadrant 4.

Answers

Answer:

Graph A

Step-by-step explanation:

The two circles are not touching so they don't have a solution. I also got it right on Edge2020

In the figure below, AB: BC is 3 : 1 and AC = 48. The length of AB is:

Can someone help me with this i included a picture

Answers

Answer:

36

Step-by-step explanation:

Here, we shall be splitting the total length using the ratio given.

The total ratio is 3 + 1 = 4

Since AB is the bigger length, the ratio 3 belongs to it.

Thus; 3/4 * 48 is the length of AB

= 3/4 * 48 = 3 * 12 = 36

A building is being constructed. When completed, it will be 596 meters tall. It currently stands at 77% of this height. Which is the best estimate for the current height of the building? 350 meters 400 meters 450 meters 480 meters

Answers

Answer:

450

Step-by-step explanation:

Since we are estimating, we can round 596 to 600, and 77 to 75

So, we need to find 75%, or 3/4 of 600

600 * 3/4 = 150 * 3 = 450

Answer:

450 meters

Step-by-step explanation:

Calculate the surface area of a solid box in the shape of a cube with side length 10cm

Answers

Answer:

600 cm

Step-by-step explanation:

Surface Area of a box: SA=2lw+2lh+2hw

Since a box has equal side lengths, l = 10, w = 10, and h = 10.

SA = 2(10)(10) + 2(10)(10) + 2(10)(10)

SA = 600cm

Which value in scientific notation is about 9,802,733?
A. 9 x 105
B.
9 x 106
C.
9 x 107
D.
9 x 108​

Answers

Answer:

B

Step-by-step explanation:

One million has 6 zeros.

9 x 10^5 = 900, 000

9 × 10^6 = 9, 000, 000

9 x 10^7 = 90, 000, 000

9 x 10^8 = 900, 000, 000

The correct answer is 9 × 10^6

Answer:

Option B

Step-by-step explanation:

=> 9,802,733

The decimal point will come after the first non zero digits and since six digits come after it , So the exponent/power/indices will be 6

So, it becomes:

=> [tex]9 * 10^6[/tex]

Josie is a travel agent who loves to analyze data about the vacation destinations she books for her clients. She believes that the
more she knows about a destination, the better she can educate and prepare her clients to get the most enjoyment out of
their trips. She's recently been investigating the climate of Paradise Island, where one of her biggest clients, Jack, is planning to
visit. Her research of the temperature history of Paradise Island is vital to Jack's travel plans, as he has an ideal temperature
that he prefers for vacationing. In this task, you'll use technology and regression techniques to help Josie plan Jack's ideal
vacation to Paradise Island.
Part A
Josie has collected data that shows the average daily high temperature for several months over the last year. In her table
of data, month 1 can be interpreted as January, month 2 as February, and so on.
Month, x
Average Daily High Temperature, y
(°F)
50
56
1
2
3
67
5
84
6
89
7
98
92
84
9
10
12
58
button to insert a screenshot of your scatter plot in the

Answers

Answer:

The scatter plot for the data is attached below.

Step-by-step explanation:

The data collected by Joise for the average daily high temperature for several months over the last year is as follows:

Month              X      Average Daily High Temperature, Y (°F)

January            1                                   50

February          2                                  56

March               3                                  67

May                  5                                  84

June                 6                                  89

July                   7                                  98

September       9                                  92

October           10                                  84

December       12                                  58

The scatter plot for the data is attached below.

These are the times for 200 people to get to work. A 10% sample, stratified by time, is taken. Complete the table.

Answers

Answer:

look at the atachment below! :)

Step-by-step explanation:

The entries that complete the table are 1, 2, 8, 6 and 3

How to complete the table?

To do this, we multiply the number of people by the proportion of sample i.e. 10%.

The product is then approximated to the nearest unit

So, we have:

7 => 7 * 10% ≈ 1

22 => 22 * 10% ≈ 2

77 => 77 * 10% ≈ 8

63 => 63 * 10% ≈ 6

31 => 31 * 10% ≈ 3

Hence, the entries that complete the table are 1, 2, 8, 6 and 3

Read more about sampling at:

https://brainly.com/question/15713806

Graph the equation.
y = 1/3 (x + 3)(x – 3)

Answers

Answer:

Step-by-step explanation:

screen shot attached

I did the work and I screenshot it

4. Metal mercury at room temperature is a liquid. Its melting point is -39°C. The freezing point of alcohol is-114°C. How much warmer is the melting point of mercury than the freezing point of alcohol?

Answers

Answer:

75 degrees Celsius

Step-by-step explanation:

-114 - -39 = -75

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by , where is the number of hours since 10 AM, .

Answers

Complete Question:

Suppose a local vendor charges $2 per hot dog and that the number of hot dogs sold per hour is given by [tex]x(t) = -4t^2 + 20t + 60[/tex], where is the number of hours since 10 AM:

a) Find an expression for the revenue per hour as a function of x, R(x)

b) Find and simplify, R(x(t))

Answer:

a) R(x) = 2x

b) [tex]R(x(t)) = -8t^2 + 40t + 120[/tex]

Step-by-step explanation:

a) This is a very trivial exercise.

[tex]x(t) = -4t^2 + 20t + 60[/tex]

The number of hot dogs sold per hour is given by x

Charge per hot dog = $2

An expression of revenue per hour,R, as a function of the number of hot dogs sold per hour, x, is therefore: R(x) = 2x

b) [tex]x(t) = -4t^2 + 20t + 60[/tex]

R(x(t)) = 2(x(t))

[tex]R(x(t)) = 2(-4t^2 + 20t + 60)\\R(x(t)) = -8t^2 + 40t + 120[/tex]


A rectangle has a length 2 cm larger than its width.
(a) If the perimeter of the rectangle is 14 cm, what are the dimensions of the rectangle?

Answers

Answer:

The width is 5/2 = 2.5 cm

The length is 9/2 = 4.5cm

Step-by-step explanation:

The length is 2 longer than the width

l = w+2

The perimeter is 14

P =2 ( l+w)

14 = 2 (l+w)

Replace l with w+2

14 = 2 ( w+2+w)

14 =2 (2w+2)

Divide each side by 2

14/2 = 2/2(2w+2)

7 = 2w+2

Subtract 2

7-2 = 2w+2-2

5 = 2w

Divide by 2

5/2 = w

The length is w+2

5/2+2

5/2+4/2 = 9/2

The width is 5/2 = 2.5

The length is 9/2 = 4.5

find the sum 12x^2+3x+6

Answers

Answer:

[tex]3(8x ^{2} + x + 2)[/tex]

factor out 3 polynomial 8xsqurd +x+2 not factored as it doesn't have any rational roots

Answer:

This cannot be simplified any further.

Step-by-step explanation:

What is the length of BC in the right below?

Answers

Answer:

B. 17

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

We have a and b, so:

8² + 15² = c²

c = √(8² + 15²)

c = 17

And we have our final answer!

Answer:

To find the length of BC we use Pythagoras theorem.

BC² = AB² + AC²

AB = 8 AC = 15

BC² = 8² + 15²

BC = √64 + 225

BC = √ 289

BC = 17

BC is 17

Hope this helps.

please answer very quickly

Answers

Answer:

ABD

Step-by-step explanation:



11. The formula for finding a number that's the square root of the sum of another number n and 6 is



A. x = √n + 6.

B. x = √n + 6.

C. x = √n + √6.

D. x = √n6.

Answers

Answer:

x = [tex]\sqrt{x+6}[/tex]

Step-by-step explanation:

The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).

For the following geometric sequence find the explicit formula: {-1, 3, -9,...}

Answers

multiplies by -3 every time

Answer:

[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = - 1 and r = 3 ÷ - 1 = - 3 , thus explicit formula is

[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]

Can somebody help me with this ?? :)

Answers

Answer:

A.

Step-by-step explanation:

We have AC = DF, ∠A =∠D, so

we need AB = DE.

We get SAS congruence.

please answer all 3 percentages questions below

Answers

Answer:

a). 16% of £50

= 16/100 ×50

= 8

= £8

b). 44% of 781g

= 44/100 × 781

= 343.64

= 343.64g

c). 92% of 1050km

= 92/100 × 1050

= 996

= 996km

Hope this helps.

so 90/7 divided by 1 and three-fourths i keep trying but i keep getting a different answer what would be the best estimate

Answers

Answer:

see below

Step-by-step explanation:

90/7  ÷ 1 3/4

Change to an improper fraction

90/7 ÷ (4*1+3)/4

90/7 ÷7/4

Copy dot flip

90/7 * 4/7

360 /49

The exact answer is 7 17/49

To estimate I would round 49 to 50 and 360 to 350

350/50 is approximately 7 and since I rounded the numerator down and the denominator up,  the answer would be a little higher

What is a regular Polygon? Name all the types of polygon.(HELP ASAP)

Answers

Answer:

A regular polygon is a polygon with sides of equal length. Some examples include, a equilateral triangle, square, regular pentagon, regular hexagon, regular heptagon, regular octagon, regular nonagon, regular decagon...

V=1/3Πr^2(2r+h)
PLEASE HELP!!!!!!!
Make h the subject of the formula
Need help ASAP...
PLEASE​

Answers

Answer:

h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]

Step-by-step explanation:

v=(  [tex]\frac{1}{3}[/tex] (3.141593))(r2)(2r+h)

Step 1: Flip the equation.

1.047198hr2+2.094395r3=v

Step 2: Add -2.094395r^3 to both sides.

1.047198hr2=−2.094395r3+v

Step 3: Divide both sides by 1.047198r^2.

h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]

Answer:

[tex]h = \frac{3v - 2\pi \: r{ }^{3} }{\pi \: r {}^{2} } [/tex]

Step-by-step explanation:

Step 1 add -2/3Πr^3 to both sides

v + -2/3Πr^3 = 1/3hpr^2 + 2/3Πr^3 + -2/3Πr^3

Step 2 divide both sides by (Πr^2)/3

(v + -2/3Πr^3)/(Πr^2)/3 = (1/3hΠr^2)/(Πr^2)/3

(3v - 2Πr^3)/Πr^2 = h

hope this helps....

Need help ASAP, thanks

Answers

Answer:

1364

Step-by-step explanation:

use the calculator

How many cubes are needed to build this figure?

Answers

Answer:

6

Step-by-step explanation:

the box has 2 x 3 x 1

so if we use cube 1 x 1 x 1

we need 6 cubes

Answer:6

Step-by-step explanation:

I counted the top

The perimeters of the square and the regular pentagon are equal. A square with side lengths of 3x + 3. A pentagon with side lengths of x + 8.

Answers

Answer:

60

Step-by-step explanation:

Since the perimeters are equal then:

(3x + 3) * 4 = (x + 8) * 5

12x + 12 = 5x + 40

7x = 28

x =4

Perimeter of square = (3*4 + 3) * 4 =

(12 + 3) * 4 = 60

Perimeter of pentagon = (4 + 8) * 5 =

(12) * 5 = 60

The answer is 60

Simon makes 30 cakes He gives 1/5 of the cakes to sali He gives 10% of the cake to Jane What fraction of 30 does he have left

Answers

Answer:

7/10 or 0.7 or 70% left.

Step-by-step explanation:

Since he gives 1/5 of the cake to Sali, he gave 1/5 * 30 = 6 cakes away to Sali. Since 10% is 1/10, he gave away 1/10 * 30 = 3 cakes away to Jane. He has a total of 30 - 3 - 6 = 21 cakes left. 21/30 = 7/10, or 0.7, or 70% left.

Answer: 21/30

Explanation this is because 1/5of 30 is 6 and 10 percent of 30 is 3

6+3=9

30-9=21

Therefore Simon has 21/30 cakes left

I hope it helps

Cathy used a probability simulator to pull three colored marbles from a bag and flip a coin 50 times. The results are shown in the table below. Using Kathy’s simulation, what is the probability of pulling a blue marble in the coin landing tails up?

Answers

Answer:

blue marble 12/50. tails 20/50

Step-by-step explanation:

12/50×20/50 =240/2500= 12/125 =9.6%

Answer:

12/50

Step-by-step explanation:

Other Questions
HELP ME PLEASE! So Im working on this practice page before I start my quiz but I dont understand these two problems, I was hoping someone would help me. What is the multiplicative rate of change of the exponential function shown on the graph? Two-ninths 1 4 Nine-halves Complete the statement about the types of violence to which children are exposed. Children are exposed to violence through aggressive acts in the home called ------------ violence, perpetrated by family members against other family members. These acts can include physical and sexual abuse, intimidation, verbal abuse, and neglect. ------------- violence includes conventional crimes such as robbery, murder, threats, hate crimes, and child maltreatment. Express 2x+20x+7 in the form (x+p)+q Which section of the ACT is optional?A. MathB. ScienceC. WritingD. English A line has a slope of -3/2 and has a y-intercept of 3. What is the x-intercept of the line? If the activation energy required for a chemical reaction were reduced, what would happen to the rate of the reactionThe rate would increase.The rate would decrease.The rate would remain the same.The rate would be zero. which legal issue complicates that use of AEDs to save lives? According to a Harris Poll in 2009, 72% of those who drive and own cell phones say they use them to talk while they are driving. If you wish to conduct a survey in your city to determine what percent of the drivers with cell phones use them to talk while driving, how large a sample should be if you want your estimate to be within 0.02 with 95% confidence. Jeremiah invested $x at a 6% simple annual interest rate account. Six times that amount was invested at an 9% simple annual interest rate account. How much was invested at the 6% account if the total annual return was $800.00? please solve quickly Which fraction is equivalent to 20%? Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines? can someone help fill in the gaps in the table and calculate an estimate for the mean ASAP Why do elements within a period of the periodic table have differentproperties?A. They have different arrangements of core electrons.B. They have different numbers of valence electrons.C. Some are metals and some are nonmetals.D. They have different combinations of protons and neutrons. What is the greatest integer value of y for whic 5y - 20 < 0 ? Read your textbook's Sources from the Past section on Christopher Columbus first impressions of American peoples. Answer the question at the end of the section. If x = 1 is a common root of ax +ax + 2 = 0 and x + x + b = 0 , then ab = How many different triangles can you make if you are giventhese three lengths for sides? What is a simple subject and a complete subject?