Q1: In the isosceles triangle below the legs are twice the
length of the base. The perimeter is 100 cm. What are the
dimensions of the isosceles triangle?

Q1: In The Isosceles Triangle Below The Legs Are Twice Thelength Of The Base. The Perimeter Is 100 Cm.

Answers

Answer 1

Answer:

The base of the triangle has a size of 20 cm, while each side has a size of 40 cm.

Step-by-step explanation:

An isosceles triangle is one that has two sides with an identical value, and one side with a different value from the previous ones. Thus, in the case the base will have a different value from the sides. In this regard, the perimeter (the sum of the sides) of the triangle is 100 cm, and the longest sides are twice the size of the base. Therefore, to determine the value of each side of the triangle, the following calculation must be performed:

X + 2X + 2X = 100

5X = 100

X = 100/5

X = 20

Thus, the base of the triangle has a size of 20 cm, while each side has a size of 40 cm.


Related Questions

Find the area of the semicircle shown below. Use 3.14 for TT
Round your solution to 2 decimal places.

Answers

Answer:

r=d/2=18/2=9cm

area of the semicircle=1/2 (πr²)=1/2 (3.14×9²)=127.17cm²

Mark practice the piano for 2/3 for an hour for 6 hours every week. How many hours does he practice each week​

Answers

Answer:

9

Step-by-step explanation:

6 divided by 2/3 = 6 x 3/2 = 18/2 = 9

hope this helped!

Answer:

2/2

Step-by-step explanation:

2 1/4x + (4 1/3x − 7 4/5 ) ÷ 2 3/5

Answers

Answer:

1/4*(9x+130x-234/35

Step-by-step explanation:

get photomath

Use the diagram below to answer the following questions.
The infield of a baseball field is a square. The distance from home plate to first base is 90 ft.
2nd
8a. What is the distance from home plate to second base?
pitchers mound
3rd
1st
90 ft
8b. What is the distance from third base to first base?
Home
8c. If the pitcher's mound is 60 ft 6 in from home plate, is it the midpoint of the diagonal from home
plate to second base?

Answers

Answer:

Step-by-step explanation:

Distance from home plate to second base = 90√2 feet

Distance from third base to first base = 90√2 feet

60 ft 6 in = 60.5 ft

90√2 /2 = 45√2 ≅ 63.6 ft ≠ 60.5 ft

The pitcher's mound is not at the midpoint.

evaluate the expression 4/5-2/3

Answers

Answer:

2/15

Step-by-step explanation:

Find the LCM which is 15. Multiply 4/5 by 3 to get the numerator 15 and multiply 5 to 2/3 to get the numerator 15.

12/15-10/15=2/15

Hope this helps. Pls give brainliest.

In triangle ABC, the size of angle B is 4 times the size of angle A, and the size of
angle C is 1° less than 5 times the size of angle A.
Find the size of the angles.

Answers

Answer:

A=18.1, B=72.4, and C=89.5

Step-by-step explanation:

Where A, B and C represent their respective angles:

We are given that:

B=4A

C=5A−1

And since ABC make up a triangle, we know that:

A+B+C=180

Since we have three variables and three equations, we can solve for A, B, and C. To solve for A:

Take the equations B=4A and C=5A−1, and plug B and C into the last equation:

A+B+C=180

A+4A+5A−1=180

10A – 1 + 1 = 180 + 1

10A=181

10 /10 x A = 181/10

             A = 18.1

Then we can plug this value into the first two equations to solve for B and C:

B=4A

B=4(18.1)=72.4

C=5A−1

C=5(18.1)−1= 90.5 - 1=89.5

So A=18.1, B=72.4, and C=89.5

Hope this helps!

The size of ∠A is 18.1°.

The size of ∠B is  72.4°.

The size of ∠C is 89.5°.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle ABC

∠A = x

∠B = 4x

∠C = 5x - 1

Now,

The sum of all the angles in a triangle is 180.

This means,

x + 4x + 5x - 1 = 180

10x - 1 = 180

10x = 181

x = 18.1

Now,

∠A = 18.1°

∠B = 4 x 18.1 = 72.4°

∠C = 5 x 18.1 - 1 = 89.5°

Thus,

The sizes of the angles are:

18.1°, 72.4°, and 89.5°

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E=mc squared m=3 c=6

Answers

Answer:

E = 108

Step-by-step explanation:

E = 3 * [tex]6^{2}[/tex]

= 108

Answer:

e=mc^2 if m=3 and c=6

e=3([tex]6^2[/tex])

e=3[tex](36)[/tex]

e=108

Step-by-step explanation:

hope this helps have a good rest of your day/afternoon :) ❤

Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie

Answers

Answer:

x intercept is 180

Step-by-step explanation:

Given

[tex]y = cos(\frac{1}{2}x)[/tex]

Required

Determine the x intercept

To do this, we simply set y to 0.

i.e. y = 0

Substitute 0 for y in [tex]y = cos(\frac{1}{2}x)[/tex]

[tex]0 = cos(\frac{1}{2}x)[/tex]

Take [tex]cos^{-1}[/tex] of both sides

[tex]cos^{-1}(0) = cos^{-1}(cos(\frac{1}{2}x))[/tex]

[tex]90 = \frac{1}{2}x[/tex]

Multiply both sides by 2

[tex]2 * 90 = \frac{1}{2}x * 2[/tex]

[tex]2 * 90 = x[/tex]

[tex]180 = x[/tex]

[tex]x = 180[/tex]

Hence, the x intercept is 180

Which polygon appears to be regular?
O Figure A
O Figure B
O Figure C
Figure A
Figure B
O Figure D
Figure C
Figure D

Answers

I think c if not please tell me

Figure C appears to have all sides and angles the same.

What are regular polygons?

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

Some examples of regular polygons include equilateral triangles, squares, pentagons, hexagons, and so on.

A regular polygon can have any number of sides, and its name reflects the number of sides it has.

For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, and so on.

Thus,

Figure C appears to have all sides and angles the same.

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Analyze the diagram below and complete the instructions that follow.
Find the value of x.

Answers

Answer:

C. 10

Step-by-step explanation:

Two sides of the right triangle are equal to each other, which is 5√2.

The third side is the hypotenuse length = x

We can use pythagorean theorem to find x.

Thus,

c² = a² + b²

Where,

a = 5√2

b = 5√2

c = x

Therefore:

x² = (5√2)² + (5√2)²

x² = 50 + 50

x² = 100

x = √100

x = 10

The length of time, in hours, it takes a train to travel to city B varies inversely with the train’s speed. The train Carole is traveling on is moving at a speed of 70 miles per hour, and it takes her 4 hours to arrive. If the train Steve is traveling on is moving at a speed of 50 mph, how long will it take him to arrive at City B?

Answers

Answer:

Step-by-step explanation:

4 h × (70 mi)/h = 280 mi

280 mi × (1 h)/(50 mi) = 5.6 h

The time taken by him to arrive at City B will be 5.6 hours.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The time span, in hours, it takes a train to go to city B fluctuates contrarily with the train's speed.

V x T = Constant

The train Carole is going on is moving at a speed of 70 miles each hour, and it requires her 4 hours to show up. In the event that the train, Steve is going on, is moving at a speed of 50 mph.

Let 't' be the time. Then the equation is given as,

t x 50 = 4 x 70

50t = 280

t = 280 / 50

t = 28 / 5

t = 5.6 hours

The time taken by him to arrive at City B will be 5.6 hours.

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Which graph represents the function f(x) =three-halves(2)x?

Answers

Answer:

wheres the graph?

Step-by-step explanation:

Answer:

The last graph on edge 2021

Step-by-step explanation:

HALPPPPP!!
The equation of direct proportion y=kx is given by the table. Find the coefficient k, copy the table and fill it in!

Answers

Answer:

K = - 4

Step-by-step explanation:

And i don't have a paper now so I cann't to complet the table sorry

I don’t know how to find X or Y very urgent, need to figure this out how to solve plz help

Answers

Answer:

x = 9

y = 9√3 = 15.6

Step-by-step explanation:

The triangle given is a right triangle, therefore:

✔️apply trigonometric ratio formula to find x:

Reference angle = 60°

Hypotenuse = 18

Adjacent = x

Thus:

Cos (60) = x/18

Multiply both sides by 18

18×cos(60) = x

9 = x

x = 9

✔️find y by applying pythagorean theorem:

y² = 18² - x² (pythagorean theorem)

y² = 18² - 9² (substitution)

y² = 243

y = √243

y = √(81*3)

y = 9√3 = 15.6

(3a+9)+(6a+6) =
What is the answer to this??

Answers

Answer: 9a+15


Explanation: We are combining like terms so we can rearrange the equation to

(3a+6a) and (9+6)

3a+6a= 9a

9+6=15

So 9a+15
9a + 15
If it’s wrong let me know

2. Mr. C'Quence just wrote a 35-problem test for his math class. He wants some of the problems to be
worth two points each while the rest will be worth three points each. If the test must be worth a total of
100 points, set up a system of equations to determine how many of each type of problem Mr. C'Quence
should have on his test?
Define the variables:
Write the system (but do not solve):
I

Answers

Hdjdjjdksjsjsjsnsmlspskskss

A car owner buys diesel at rs 7.50, rs 8, rs 8.50 per litre for three successive years. what approximately is the average cost per litre of diesel if he spends rs 4000 each year?​

Answers

Answer:

Average cost per litre of diesel = rs 8.00

Step-by-step explanation:

Amount spent on diesel each year = rs 4000

Price of a litre of diesel in the first year = rs 7.50

Price of a litre of diesel in the second year = rs 8.00

Price of a litre of diesel in the third year = rs 8.50

Average cost per litre of diesel = [tex]\frac{p_{1} + p_{2} + p_{3} }{n}[/tex]

where n is the number of years.

Average cost per litre of diesel  =  [tex]\frac{7.5 + 8.00 + 8.50}{3}[/tex]

                                                     = [tex]\frac{24}{3}[/tex]

                                                     = 8

Average cost per litre of diesel is rs 8.00

So that he buys an average of 500 (i.e [tex]\frac{4000}{8}[/tex]) litres every year.

(-12,16) and (-4,-2)find the slope

Answers

Answer:

It's -9/4 or -2 1/4. please mark me brainliest <3

Step-by-step explanation:

1) label x1, y1, x2, and y2.

x1     y1       x2 y2

(-12, 16)     (-4,-2)

2) Remember the formula is y2-y1

                                               --------

                                                x2-x1

3) substitute

-2-16

--------

-4-(-12)

4) two minuses (negatives) is a positive (+)

so,

-2-16             -18

---------=       --------

-4+12               8

5) simplify

-18 divided by 2          -9

-----                          =   -------    or -2 1/4

  8 divided by 2             4

Answer:

-1.75

Step-by-step explanation:

Y= 2/3x + 2. Y= 3/5x + 3. Graph equations

Answers

One square = 1 unit

Answers are on paper.
I put them on separate graph

H) Jorge had 3 pounds of strawberries. He let his friend Matt eat 1/2 of the strawberries. How many pounds of strawberries did Matt eat? ​

Answers

Answer: Matt ate 1.5 pounds of strawberries.

Step-by-step explanation:

3 ÷ 1/2 = 1.5

Answer:

1.5 pounds

Step-by-step explanation:

Total of strawberries = 3 pounds

Mat eat half of the total of strawberries = 1/2 * 3 pounds = 1.5 pounds

Arionna needed to graph triangle PQR reflected across the y-axis. Her work is shown below. Arionna’s Work: Blue right-arrow red. P (3,7) right arrow P prime (3, negative 7). Q (0, 4) right-arrow Q prime (0, 4). R (5, 8) right-arrow R prime (negative 5, 8). Arionna’s Graph On a coordinate plane, a red triangle has points (negative 7, 3), (negative 5, 8), (0, 4). A blue triangle has points (0, 4), (3, 7), (5, 8). Which statements identify her errors? Check all that apply. Arionna did not find the correct point for P’. She should have negated the x-value, not the y-value. Arionna did not find the correct value for Q’. All points in a reflection will move. Arionna did not find the correct value for R’. She should have negated the y-value, not the x-value. Arionna’s red triangle should be reflected below the horizontal axis rather than across the vertical axis. Arionna switched the order of the coordinates of P’ (3, –7) when she graphed them.

Answers

Answer:

A and E

Step-by-step explanation:

...

Arionna did not find the correct point for P’. She should have negated the x-value, not the y-value.

What is cartesian plane?

A two-dimensional coordinate plane called the cartesian plane is what is created when the x- and y-axes cross. The origin is the place where the x-axis and y-axis meet perpendicularly.

A pair of perpendicular lines connect to create the cartesian plane, a two-dimensional coordinate plane. The term "Y-axis" refers to the vertical line, whereas "X-axis" refers to the horizontal line. The Cartesian coordinate point (x, y) indicates that the point's horizontal and vertical distances from the origin, respectively, are x and y, respectively. If x has a positive sign, the point will be to the right of the origin.

Given, Arionna needed to graph triangle PQR reflected across the y-axis.

Arionna’s Work:

Blue right-arrow red. P (3,7) right arrow P prime (3, negative 7). Q (0, 4) right-arrow Q prime (0, 4). R (5, 8) right-arrow R prime (negative 5, 8).

Reflection across y axis

(x , y) becomes ( - x , y)

P ( 3 , 7)    P ' (  3 , -7)   The correct solution should have been ( -3 , 7),

Q ( 0 , 4)   Q'  ( 0 , 4)   This is correct,

R  (5 , 8)    R' (-5 , 8)   This is correct,

Arionna was unable to determine P's proper point. Not the y-value, but the x-value should have been negated instead.

The graph of Arionna

The points of a red triangle on a coordinate plane are (-7, 3), (-5, 8), and (0, 4).

When graphing P"s coordinates (3, -7), Arionna reversed their order.

A blue triangle has points (0, 4), (3, 7), (5, 8).

Hence Arionna Graph is attested in image.

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With compound interest, what happens when you start compounding more and more frequently?
a. there is no correlation between compound c. the computed value gets larger
interest and the computed value
b. the computed value stays the same d. the computed value gets smaller
Please select the best answer from the choices provided
A
B
ОООС

Answers

Answer:

The further compounding cycles in a given year, the greater the effect on the valuation of potential investment. Therefore, the more interest-posting dates, irrespective of the interest rate, the more compounding raises the account balance.

Step-by-step explanation:

Answer:

C

the computed value gets larger

Step-by-step explanation:

A restaurant serves hot chocolate that has a mean temperature of 175 degrees with a standard deviation of 8.1 degrees. Find the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees. Would this outcome warrant a replacement cup (meaning that it would be unusual)

Answers

Answer: The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042

This outcome would warrant a replacement cup.

Step-by-step explanation:

Let x be a random variable that represents the temperature of hot chocolates.

GIven: Mean temperature = 175 degrees

standard deviation = 8.1 degrees

The probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =[tex]P(x<161)[/tex]

[tex]=P(\dfrac{x-\mu}{\sigma}<\dfrac{161-175}{8.1})\\\\=P(Z<-1.7284) [Z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(Z<1.7284)\\\\=1-0.9580\\\\=0.042[/tex]

Hence, the probability that a randomly selected cup of hot chocolate would have a temperature of less than 161 degrees =0.042 < 0.5 (unusual)

i.e. this outcome would warrant a replacement cup.

Is (3, 7) a solution to the equation y = 2x – 4? yes or no Submit​

Answers

Answer:

(3, 7) is not a solution.

Step-by-step explanation:

In this question, we have to find out if the point (3, 7) is a solution to the equation.

To find your answer, you would plug in the coordinate into the equation and solve.

Solve:

y = 2x - 4

Plug in coordinate.

7 = 2(3) - 4

7 = 6 - 4

7 ≠ 2

Since both sides are not equal to each other, this makes the statement false. Therefore, (3, 7) is not a solution.

Your answer would be (3, 7) is not a solution.

Find the equation of a line perpendicular to x=−4 that contains the point (−3,4). Write the equation in slope-intercept form.

Answers

Answer:

y=4

Step-by-step explanation:

We recognize x=−4 as a vertical line, so its perpendicular will be horizontal. The equation of the horizontal line containing the point (−3,4) is given by y=4.

The slope-intercept form of a line perpendicular to x=−4 that contains the point (−3,4) is y = 4.

What is the slope of a line that is perpendicular to the other line?

The slope-intercept form of a line is y = mx + c.

Here, m = slope and c = y-intercept of the line.

The equation of the given line is x = - 4

Therefore, the given line is a vertical line.

Now, the line that is perpendicular to the line x = - 4, is a horizontal line.

Now, the horizontal line that passes through the point (- 3, 4) is y = 4.

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A bookstore pays $4.50 for a novel. The percent of markup is 45%. Find the novel's selling price. 55 TE OME TELE mm​

Answers

Answer:

Selling price= $6.53

Step-by-step explanation:

Giving the following information:

A bookstore pays $4.50 for a novel. The percent of markup is 45%.

To calculate the selling price, we need to use the following formula:

Selling price= purchase price*(1 + mark up percentage)

Selling price= 4.5*1.45

Selling price= $6.53

Solve for w. -2 > W - 12​

Answers

Answer:

10 > w

Step-by-step explanation:

-2 > w-12

Add 12 to both sides of the equation in order to isolate w

-2+12 > w-12+12

This will cancel out 12 on the right side of the inequality as well as give the value of w on the left side of the inequality.

10 > w

At the last census, 20% of the people in a town were less than 16 years old, 20% were 16-30, 25% were 31-45, 15% were 46-60, and 20% were over 60. To test to see if the age strucutre of the town has changed a random sample of of 200 residents of the town yields the following results:
Age: <16 16-30 31-45 46-60 >60
Observed Frequency 30 31 37 50 52
Test to see if the age structure has changed (using the 5% level of significance).

Answers

Answer:

kk

Step-by-step explanation:

3)
Evaluate the expression 2x-5 when x = 3.

Answers

Answer:

1

Step-by-step explanation:

Plug in the x to the original equation given.

2(3)-5

2 times 3 is 6 so then,

6-5 =1

Hey there!

2x - 5

= 2(3) - 5

= 6 - 5

= 1

Therefore, your answer is: 1


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

I need help please it’s worth13 points with explanation please

Answers

Answer:

1/7

Step-by-step explanation:

-(x + 3) = 8x - 4 - 2x

-x - 3 = 8x - 4 - 2x

combine like terms

-x - 3 = 6x - 4

add

-x = 6x -1

subtract

-7x = -1

divide

x = 1/7

Answer:

x = 1/7

Step-by-step explanation:

-(x + 3) = 8x - 4 - 2x

-x - 3 = 8x - 4 - 2x

-x - 3 = 6x - 4

-x = 6x -1

-7x = -1

x = 1/7

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New Technology Leads to Bigger CitiesIn the 1800s, the United States was still a very young nation, trying to solidify its identity. The Industrial Revolution began in Great Britain, a fast development of society following the introduction of machines. The United States was slower than Great Britain to fully embrace the changes. Yet key technological developments caused a rapid growth in American urban areas.Better farming methods and tools in the 1800s increased food production. Americans were able to grow enough food for their families as well as to sell. The abundance caused food prices to fall.The expansion of cotton and the growth of textile factories in northern states helped produce the first wave of American industry. More people turned to work in northern factories as a way to support their families. Thousands of immigrants to the United States also settled in or near port cities, looking for work. Even today, the need for work is a common reason people move to urban areas.As a result, cities grew in numbers of people and physical space. As more people and businesses moved in, they needed buildings for living and working. They needed ways to move around the city. We call this process urbanization.In 1820, the United States had only a few cities of 10,000 residents or more. About seven percent of U.S. residents lived in urban areas. The number of cities with more than 10,000 people grew quickly over the next 40 years, especially in the Northeast and Midwest. By 1860, about 20 percent lived in cities. Philadelphia and New York City were the most populated cities in 1860 and would soon reach one million residents.The urbanization of the United States quickened due to technology improvements. Without innovations in food production, the factories could not have grown so quickly. The trend quickened after 1860 and continued throughout the 21st century as well. By 2007, more Americans lived in or near cities than they did in rural areas.Which sentence from the conclusion paragraph best rephrases the author's thesis? (5 points)A. By 2007, more Americans lived in or near cities than they did in rural areas.B. Without innovations in food production, the factories could not have grown so quickly.C. The trend quickened after 1860 and continued throughout the 21st century as well.D. The urbanization of the United States quickened due to technology improvements. pleeease help will give brainliest Which two characteristics describe organisms in the kingdom Animalia?A. They are heterotrophic B.They are unicellular C. They are multicellular D.They have prokaryotic cells This is a multi (two) answer