each of equal sides of an isosceles triangle is 4cm greater than its height .If the base of triangle is 24 cm ,calculate the perimeter and the area of the triangle​

Answers

Answer 1
Answer:-

192 cm²

Step by step explanation :-

Let us take the height be x , then its side = x + 4. Now half of base will be 12 cm .

According to Pythagoras Theorem :-

=> base² + perpendicular ² = hypontenuse ²

=> 12² + x² = (x+4)²

=> 144 + x² = x² + 16 + 8x

=> 8x = 144-16

=> 8x = 128

=> x = 128/8

=> x = 16 cm .

Hence the height of is 16 cm .So the area will be half the product of base and altitude.

= 1/2 * 16 cm * 24cm .

= 192 cm²

Hence the area of the triangle is 192 cm² .

Related Questions

help pls i’m slow :(((((((

Answers

Answer:

10ft

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

there is a 5 ft difference

What is the missing term?
-4.-12.x
12.-4 .
2x
?
2.2

+1

Answers

Answer:

Step-by-step explanation:

The question is not displaying correctly.

4x·3x = 12x²

What percent of 31 is 48 if necessary round your answer to the nearest hundredth of percent

Answers

Answer:

64.58

Step-by-step explanation:

Answer:154.84%

Step-by-step explanation:

what is the "input" of a function ​

Answers

the input values that would produce that output value, we set the output equal to the function's formula and solve for the input.

Two bags of chips cost $1.50.
Will one bag cost more or less than $1.50?

Answers

Answer:

Less

Step-by-step explanation:

If 2 bags of chips cost $1.50, 1 bag of chip costs half that price.

At your first job you make $1200 a month of that you save $200 a month. Your goal is to save 20% did you reach your goal?

Answers

Answer:

No, you didn't

Step-by-step explanation:

20% of $1200 is:

0.2*$1200 = $240

Since you saved $200 and its less than $240 you didn't reach your goal

Hi there!

No:

200 is only 6 parts of 1200 together which means that it can’t be 20% of 1200.

If it was 20% of 1200, it would then be 240 since 240·5=1200...

What this means:

No, did not reach the goal since 20% of 1,200 is 240 and 200 is only 16.67% of $1,200.

Can anyone explain polynomials in a way that makes sense lol?

Answers

Answer:

Answer:

well here's the def. maybe this can help you sum up answer  

*polynomial

[ pol-uh-noh-mee-uhl ]SHOW IPA

adjective

consisting of or characterized by two or more names or terms.

noun

Algebra.

(in one variable) an expression consisting of the sum of two or more terms each of which is the product of a constant and a variable raised to an integral power: ax2 + bx + c is a polynomial, where a, b, and c are constants and x is a variable.

a similar expression in more than one variable, as 4x2y3 − 3xy + 5x + 7.

Now Rare.Also called multinomial. any expression consisting of the sum of two or more terms, as 4x3 + cos x.

a polynomial name or term.

Biology. a species name containing more than two terms.

:

7. The least of three consecutive positive integers is x. The sum of the three
integers is 60. The statement given above expressed as an equation is

Answers

Answer:

no. of consecutive integers--- X, X+1, X+2.

there sum is 60

X+X+1+X+2=60

3X+3=60

X+1=20

X=19

integers are=19, 20, 21

The perimeter of a rectangle is 54 cm. The width is 1 cm shorter than the length. What is the length and width of the rectangle

Answers

Answer:

13 is the width and 14 is the length

Step-by-step explanation:

I divided 54 and got 13.5 then I started adding random numbers around 13 like 12+12+13+13 that didn't work it came out to 50 so I went up and did 13+13+14+14 and got my answer

Can someone help me with this umm math thingy

Answers

Answer:

1. The similar triangles are ΔXYZ and ΔPQR

The triangles are similar by the AA rule of similarity

2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles

3. x = 17.5

4. x = 20

Step-by-step explanation:

1. The angles of triangle ΔXYZ are;

∠X  = 32°, ∠Y = 84° and ∠Z = 180° - (84° + 32°) = 64°

The angles of triangle ΔPQR are;

∠P  = 64°, ∠R = 32° and ∠Q = 180° - (64° + 32°) = 84°

The angles of triangle ΔABC are;

∠A  = 64°, ∠C = 92° and ∠B = 180 - (92 + 64) = 24°

Therefore, the two similar triangles are ΔXYZ and ΔPQR

The triangles are similar based on Angle-Angle (AA) rule of similarity

2. The similar triangles ΔXYZ and ΔPQR cannot be assumed as being congruent because more information are required about the length of a pair of corresponding sides of both triangles

3. We have by corresponding triangles formed by the tree and Enzo as follows;

5 ft./(6 ft.)= x/(21 ft.)

∴ x = 21 ft.× (5 ft./6 ft.) = 17.5 ft.

x = 17.5 feet

4. By corresponding triangles, we have;

(35 ft.)/(40.5 ft.+ 54 ft.) = x ft./(54 ft.)

∴ x ft. = (54 ft.) × (35 ft.)/(40.5 ft.+ 54 ft.) = 54 ft. × (35 ft.)/(94.5 ft.) = 20 ft.

x ft. = 20 ft.

∴ x = 20

can you put this into one sentence The Soviet team dominated the second period. The Americans scored twice in the last period. The Americans finally took the lead.

Also put two of these words in it Although or so unless.

40 points

Answers

the americans scored twice in the last period although the soviet team dominated second period, after that the americans finally took the lead

(this is english not math change your question when you have to do this again)

y=5x+1 graph the equation

Answers

This is how you would graph y=5x+1

Just choose values for x like (-2,-1,0,1,2) then replace it in the equation. Ex. For -2 it would be y=5(-2)+1
Y=-9
So the point would be x=-2 and y=-9


Mary multiplied 425.32 by 981.21 and got an answer of 41,732,823.72.

Use estimation to see if her answer is reasonable.

A. No, the answer is about 400,000,000

B. No the answer is about 4,000,000

C. No, the answer is about 400,000

D. No, the answer is about 40,000

(Show your work here.)

Answers

Answer C
when you multiple 425.32 and 981.21 you get 417,328.237 so the answer would be “about”400,000.

the alpha recruitment agency is advertising a high-profile employer-paid job as vice president of it operations. the fee is 25% of the first month’s pay. if the job pays x dollars annually, express the agency’s fee algebraically. answer pls​

Answers

Answer:

0.25x

Step-by-step explanation:

got it right on cengage

which equation would be the easiest to solve first by using the substitution method? EXPLAIN WHY

equation 1: 3x+5y= -8
equation 2: x- 2y=1

Answers

Answer:

Equation 2: x - 2y = 1

Step-by-step explanation:

The equations easiest to use substitution are the ones that have the variable multiplied by one, as in the case of Eq. 2 where x is 1x, so if you substitute a zero for x, we know that y has to be -1/2 for the equation to be true.  Furthermore, if you substitute a 0 for y you automatically know that x = 1.

If you try to substitute anything for x in equation 1, let's say x = 1, you still have to multipy by 3, then the rest of the problem would be more steps.

Which number represents the mode?
8,10,12,14,16,18,20

Answers

Answer:

none

cz there's no no. that repeats itself

4. Find the product of (a+b)(a²-ab+b?)​

Answers

Answer:

a³+b³

Step-by-step explanation:

this is formula. You can also refer to the attachment

Answer:

Step-by-step explanation:

(a + b) (a² - ab + b) = a*(a² - ab + b) + b(a² - ab + b)

                               = a*a² - a*ab +a*b + b*a² - b*ab + b*b

                               = a³ - a²b + ab   + a²b -ab² + b²

                             = a³ - a²b + a²b + ab - a²b + b²

                            = a³  + ab - a²b + b²

In ΔKLM, the measure of ∠M=90°, the measure of ∠K=83°, and KL = 74 feet. Find the length of MK to the nearest tenth of a foot.

Answers

Answer:

9

Step-by-step explanation:

A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box. What is the domain of the function for this situation?

Answers

Answer: C. 0 ≤ x ≤ 230

When the  A golfer hit a golf ball from a tee box that is 6 yards above the ground so the domain of the function is [0,260].

Calculation of the domain of the equation:

Here the domain is the values of 'x' in the function f(x).

the position at which the golfer is hit the ball is (0,6) and the position where the ball hits the ground is (230,0)

So, the domain of the function for this situation is [0,260].

Learn more about domain here: https://brainly.com/question/18573273

find x, find jl . any help is deeply appreciated :) !​

Answers

Answer:

6. x = 15

7. JL = 78

Step-by-step explanation:

6. 8x - 23 = ½(10x + 44) (midsegment theorem)

Multiply both sides by 2

2(8x - 23) = 10x + 44

16x - 46 = 10x + 44

Collect like terms

16x - 10x = 46 + 44

6x = 90

Divide both sides by 6

x = 90/6

x = 15

7. MN = 5x - 16

JL = 4x + 34

MN = ½(JL) (midsegment theorem)

5x - 16 = ½(4x + 34) (substitution)

2(5x - 16) = 4x + 34

10x - 32 = 4x + 34

Collect like terms

10x - 4x = 32 + 34

6x = 66

x = 66/6

x = 11

JL = 4x + 34

Plug in the value of x

JL = 4(11) + 34 = 44 + 34

JL = 78

hey please help, in your own words, what is a radical expression?

Answers

A radical expression has to do with finding the square root, or the factors of a number. However these factors are the same number, which is why a radical expression is different from a regular divisions equation. (hope this helped :) )

Could anyone help me with this question please?

Answers

construction = divide the figure into two parts.

now we have triangle abd and bdc.

first calculate the area of abd.

area of triangle= 1/2×base ×height

area of triangle= 1/2×18×7.5

area of triangle=67.5cm²

second calculate area of bdc

area of triangle=1/2×15.6×11.7

area of triangle=91.26cm²

area of the figure=area of abd + area of bdc

area of the figure=67.5cm²+ 91.26cm²

area of figure=158.76 cm².

A bag contains 2 red marbles, and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and then draws a second marble, what is the probability that both marbles are red? Give the answer as a fraction in simplest form.

Answers

Answer:

4/25

Step-by-step explanation:

The total number of marbles is 2+3=5 total

P(1 red, then a second red) = (2/5) * (2/5) = 4/25

what is the vlaue of (2/7)³ ?

Answers

Answer:

0

Step-by-step explanation:

Bruno is a manager at a factory that makes in-line skates. The equation 200x - y + 500 = 0 relates y, the number of pairs of skates the factory has in the warehouse and x, the number of hours after bruno starts his shift. Show that the equation is a linear equation by writing it in a slope-intercept form. Show your work

Answers

Answer:

Slope- intercept form       y = 200 x + 500

Step-by-step explanation:

Explanation:-

Given that the equation

        200x - y + 500 = 0

where   y, the number of pairs of skates the factory has in the warehouse, and x be the number of hours

The slope-intercept form

                 y = m x +C

Given equation  200x - y + 500 = 0

                           200 x + 500 =y

                        y = 200 x + 500

Slope of the equation m = 200 and y-intercept 'C' = 500

this killing me pls help ‍♀️

Answers

-6p - 3 = 9, Solve for p

Add 3 to both sides.

-6p = 12

Divide -6 by both sides.

p = -2

2(2x2 + 3) =
Example how you got the answer

Answers

Answer:

22

Step-by-step explanation:

4x4+6

16+6

=22

Answer:

14

Step-by-step explanation:

i used pemdas so fist i multiplied 2x2 then added 3 them multiplied 7 with 2 which gets us 14.

PLEASE HELP DONT ANSWER IF YOU DO NOT KNOW (the numbers got cut out)

Answers

look at the picture i attached for the answer :))

work out (10 - 3 x 2) ^2

Answers

Answer:

Step-by-step explanif you subtract 10 from 3 you would get 7 multiply that by 2 x2 and then you would ge

Urgent please help, will give brainliest

Answers

Answer:

51.89085

Step-by-step explanation:

area = 49pi

150/360 * 49pi = 64.14085

triangle area = 7 * sin(75 degrees) * 7 * cos(75 degrees) = 12.25

==> white region = 64.14085 - 12.25 = 51.89085

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