Find the missing side of a right triangle if

a. area = 46cm 2 , base = 23cm
b. area = 120cm 2 , base = 40cm
c. area =12m 2 , base = 20m

Grade#8

Answers

Answer 1

Answer:

a. The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. We know that A = 46cm^2 and b = 23cm. Substituting these values into the formula, we get:

46cm^2 = (1/2)(23cm)(h)

Simplifying, we get:

46cm^2 = 11.5cm*h

Dividing both sides by 11.5cm, we get:

h = 4cm

Therefore, the missing side of the right triangle is 4cm.

b. Using the same formula, we can find the height of the triangle:

120cm^2 = (1/2)(40cm)(h)

Simplifying, we get:

120cm^2 = 20cm*h

Dividing both sides by 20cm, we get:

h = 6cm

Therefore, the missing side of the right triangle is 6cm.

c. Again, using the same formula, we can find the height of the triangle:

12m^2 = (1/2)(20m)(h)

Simplifying, we get:

12m^2 = 10m*h

Dividing both sides by 10m, we get:

h = 1.2m

Therefore, the missing side of the right triangle is 1.2m.

Answer 2
Answer:

a. h = 8cm
b. h = 12cm
c. h = 2.4m

Step by step explanation :

To find the missing side of a right triangle, we need to use the formula for the area of a triangle, which is:

Area = (1/2) x base x height

where base is one of the sides of the triangle, and height is the length of the perpendicular drawn to that base.

a. Given that the area of the triangle is 46cm² and the base is 23cm, we can find the height as follows:

46cm² = (1/2) x 23cm x height

Simplifying the equation, we get:

height = (2 x 46cm²) / 23cm

height = 4cm x 2 = 8cm

Therefore, the missing side of the right triangle is 8cm.

b. Given that the area of the triangle is 120cm² and the base is 40cm, we can find the height as follows:

120cm² = (1/2) x 40cm x height

Simplifying the equation, we get:

height = (2 x 120cm²) / 40cm

height = 6cm x 2 = 12cm

Therefore, the missing side of the right triangle is 12cm.

c. Given that the area of the triangle is 12m² and the base is 20m, we can find the height as follows:

12m² = (1/2) x 20m x height

Simplifying the equation, we get:

height = (2 x 12m²) / 20m

height = 1.2m x 2 = 2.4m

Therefore, the missing side of the right triangle is 2.4m.

Related Questions

Which amount is larger and by how much? A positive number a or the same number a decreased by 50% and then increased by 50% of the result?

Answers

Answer:

The answer will be positive

Step-by-step explanation:

The second answer would be less 25%

Mrs.Apollo has 34 kids in her class. 21 percent are girls while ___ percent are boys. What percent of boys are in the class?

Answers

Answer:

79%

Step-by-step explanation:

The total percentage of boys and girls are 100%

If there are 21% girls, the percentage of boys are 100 - 21 = 79

Answer:

79%

Step-by-step explanation:

let the total percentage be 100

100 - 21 = 79

There is an equal amount of yellow, blue, green, and red marbles in a bag of 32 marbles. If Ed draws 4 marbles out of the bag with replacement, predict how many of the 4 marbles drawn should be blue.

1
4
8
32

Answers

Answer:

There are 32 marbles in the bag, and 1/4 of them are blue, so there are 32 * 1/4 = 8 blue marbles in the bag.

When Ed draws 4 marbles out of the bag with replacement, the probability of getting a blue marble on any given draw is 1/4.

The number of blue marbles Ed is expected to draw can be found by multiplying the probability of drawing a blue marble on each draw (1/4) by the number of draws (4):

Expected number of blue marbles = (1/4) * 4 = 1

Therefore, Ed is expected to draw 1 blue marble out of the 4 marbles drawn.

1) 1

Reasoning:

There are 4 different colors of marbles and 32 total marbles. 32/4 is 8, so there will be 8 of each at the start.

Because Ed picks 4 marbles, and there are 4 colors, we will divide 4 by 4 (4/4) and get 1.

please help me math sucks

Answers

Answer:

A=Owen brought no more than 15 apples.

B=Owen brought more than 10 bananas

C=Owen brought fewer than 5 cantaloupes

Step-by-step explanation:

A<15 This means that A is Less or equal to 15

     =

b>10 means b is bigger than 10

c<5 means c is smaller than 5

that's the answer to the question

Percentage

16% of 350

Answers

Answer:

56

Step-by-step explanation:

here's the explanation

0.16×350

Divide 16 by 100 then multiply it with 350
The answer is 56

ANSWER ALL
30 POINTS
(also tell me how u got the answer bc i need to show my work)

Answers

1st perimeter would be 8+8+2+2 which is 20 and the second is 5*4 which is also 20. so ig the answer for that would be neither one is longer cuz they are the same length.

in the next question you have to find the perimeter from the area. the area is length times width and the shape is a square. Therefore, just figure out what number squared is equal to 64m^2, which would be 8m. You then multiply 8m by 4 which gets you 32m. 32m is the perimeter of the square.

the shape on the very right is just 5*6, so the area of that is 30. the other shape, to find the sides, just do (6+6)(10-5) which simplifies to 12*5. 12*5= 60 and when you add 30 to that you get the final area of the figure, 90cm.
1. Perimeter of rectangle= 2(l+b)
2(8+2)
2(10)
20
Perimeter of square= 4s
4(5)
20
Equal length
2. Area of square = s^2
S= square root of 64
S=8
Perimeter= 4(8)
32
3.Perimeter =12+10+5+5+6+6
=38cm

Please awnser these three for me

Answers

12.65, 4.84, 19.81 is the answer

Answer:

Step-by-step explanation:

1. 5.46 + 7.19 = 12.68

2. 6.21 - 1.37 = 5.84

3. 25.9 - 6.09 = 19.81

hope this helps

Guys please help me.
“In a math game, a player chooses two numbers as described below.
First number is a mixed number between 2 and 10
Second number is 1,2,3,4, or 5.
Which statement describes the product of the two numbers a player chooses?
A:the product must be a whole number.
B:the product must be a value less than the second number.
C:the product must be a whole number greater than the second number.
D: the product must be a value greater than the second number.

Answers

Answer:

Step-by-step explanation:

please help me own this

Answers

u spe lled on wong but da bottom line wrong tho

Select the expressions that represent a correct solution to the equation 6(x+4)=20.
Select all that apply.

Answers

Answer D and f
6(4=20/6
X=20/6-4
6(x+4)=20
6x+24=24
X=(20-24)/6=d f
D and F are the answers.

how do i do this? pls help

Answers

Answer:

The locus of the points within rectangle ABCD that are closer to A than to B and closer to D than to C.

May be the answer

Hope this helps

Just studied Loci in school recently

Please help me with the answer

Answers

The cost that will maximize the demand, considering the quadratic function, is given as follows:

$3.

How to maximize the demand?

The quadratic function representing the demand is given as follows:

y = -10x² + 60x + 180.

The vertex of a quadratic function is the point on the graph where the function reaches its maximum or minimum value. For a quadratic function in standard form y = ax² + bx + c, the x-coordinate of the vertex is given by:

x = -b / (2a)

The coefficients of the quadratic function in this problem are given as follows:

a = -10, b = 60.

The x-coordinate is the price that maximizes the demand, hence it is obtained as follows:

x = -60/(2 x (-20))

x = 3.

More can be learned about quadratic functions at https://brainly.com/question/1214333

#SPJ1

If line segment AB is dilated with a scale factor 0.75, what is the length of the new line segment A'B'?

A) 15 cm
B) 7.5 cm
C) 12.5 cm
D) 5 cm

Answers

The answer to your question is letter B
the answer is b 7.5 cm

Daksha would like to save at least $500 in 12 months. What is the minimum amount she must save each month in order to save at least $500?


Would you write an inequality or an equation?

Answers

Answer:

Step-by-step explanation:

bhhbhbhbhbhbhbhb

At least 42 a month would put them a few dollars over $500

Which equation represents the relationship between x and y shown in the table?

Answers

Answer:

D i think.

Step-by-step explanation:

Answer:

C    [tex]\frac{1}{3} x[/tex]

Step-by-step explanation:

6/3 = 2

12/3 = 4

18/3 = 6

24/3 = 8

Then:

The equqtion that represents the relationship between x and y is:

y = x/3

y = (1/3) x

[tex]y = \frac{1}{3} x[/tex]

(PLEASE HELP!!!!!!!!)

Ryan has a checking account balance of -$25. Write an absolute value statement to show how much money Ryan owes the bank.

Answers

Answer:

the absolute value of -$25 is [25]

Step-by-step explanation:

no matter if the number is negative or positive the absolute value will be what the number is or how many numbers away from 0 it is

Example: absolute value of 30 is [30] and absolute value of -50 is [50]

It’s 2555555555555555555555555555555

HELP MEEEEEEEEEEEEEEEE
1. Solve the equation
(-4)+(-9)
2.Which symbol correctly completes the statement?
-7 + 2 ___ 3 + (-9)
>
<
=
3. Solve the equation.
5+(-12)

4 Solve the equation
-7+7

5. solve the equation
-3+8

Answers

1 is -13. 3 is 7. 4 is 0. 5 is 5. Hope this helps

Answer:1 -13

2. <

3. -7

4. 0

5. 5

Step-by-step explanation: can i get brainliest i tried very hard

geometry question atatched

Answers

In the given triangle, the measure of angle C is 32°

Calculating the measure of angles

From the question, we are to determine the value of angle C.

Let half of ∠IAB = a

and half of ∠IBA = b

Then,

a + b + 106° = 180° (Sum of angles in a triangle)

a + b = 74°

Also,

2a + 2b + ∠C = 180° (Sum of angles in a triangle)

2(a + b) + ∠C = 180°

2(74°) + ∠C = 180°

148° + ∠C = 180°

Subtract 148° from both sides

148° - 148° + ∠C = 180° - 148°

∠C = 32°

Hence, the measure of C is 32°

Learn more on Calculating the measure of angles here: https://brainly.com/question/29591630

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Darla has a recipe for pot roast. There is a proportional relationship between the weight (in pounds) of the pot roast, x, and the total cooking time (in hours), y. Her recipe says that a 6-pound pot roast should take 3 hours to cook.

Answers

I do not know and I do not care 60
Y=0.5x
If darlas pot roast weighs 4 pounds then it will take 2 hrs to cook

Hi,would you please help me to solve this math problem?
How would the length of a circle change if:
a) the radius is increased 2 times
b) the radius is decreased 3 times
c) the diameter is increased 6 times?

Answers

Answer:

a) If the radius of a circle is increased 2 times, the length of the circle (circumference) will increase by a factor of 2π or approximately 6.28 times. This is because the formula for the circumference of a circle is C = 2πr, where r is the radius. If the radius is doubled, then the circumference will also be doubled.

b) If the radius of a circle is decreased 3 times, the length of the circle (circumference) will decrease by a factor of 6π or approximately 18.85 times. This is because the formula for the circumference of a circle is C = 2πr, where r is the radius. If the radius is divided by 3, then the circumference will also be divided by 3 and multiplied by 2π.

c) If the diameter of a circle is increased 6 times, the length of the circle (circumference) will increase by a factor of 6π or approximately 18.85 times. This is because the formula for the circumference of a circle is C = πd, where d is the diameter. If the diameter is multiplied by 6, then the circumference will also be multiplied by 6π

Step-by-step explanation:

pls Mark me As a brainlist

a) length of the circle increased by 2 times.

b) length of the circle decreased by 3 times.

c) length of the circle increased by 6 times.

Length of a circle that is the circumference of the circle is given by the formula = 2πr ( let's say C)

a) Given that the radius of the circle is increased by two times.

R = 2r

Required length of the circle = 2πR = 2π(2r) = 2×2πr = 2C

Hence, the length of the circle will be increased by 2 times.

b) Given that the radius is decreased by 3 times.

R= r/3

Required length of the circle =  2πR = 2π(r/3) = (2πr)/3 = C/3

Hence, the length of circle will be decreased by 3 times.

c) Given that the diameter of the circle is increased by 6 times.

D = 6d = 6×2r = 12r

Required length of the circle = πD= π×12r = 6(2πr) = 6C

Hence, the required length of circle will be increased by 6 times.

To learn more about the length of a circle :

https://brainly.com/question/1577784?referrer=searchResults

Help pls expain due at 7:45
Linda received the following scores on her essay tests.

64, 65, 63, 66, 60, 65, 66, 68, 69, 66, 63

What is the mean of her scores?

66
65
65.5
64.5

Answers

Answer: 65

Step-by-step explanation:

Answer: 65

Explanation:

Mean is all the number added together, divided by the amount of numbers in the sequence.

64+65 63+ 66+60+65+66+68+69+66+63=715

715÷11=65

I WILL GIVE BRAINLIEST IF U ANSWER THIS CORRECTLY

PLS HELP MEE!!!

Answers

Answer:

B and D

Step-by-step explanation:

imagine that one variable is -3, and the other is -2. what will equal -5. -3+2 does not, so it isnt A, -2-3 does. so it is B. 3-2 doesnt, so it isnt C, -3+-2 does, so it is also D. 2+3 doesnt, so it isnt E.

The answer would be B and D

PLEASE HELP EASY will give brainliest only if its right. Thanks <3

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Translate the bars

3x - 4 = 6 - 2x

Add 4 to both sides

3x = 10 - 2x

Add 2x to both sides

5x = 10

Divide both sides by 5

X = 2

Write an equation that gives the proportional relationship of the graph.
A) y = 30x
B) y = 5x
C) y = 6x
D) y = 1/5x

Answers

The solution is, choice B) [tex]y=5x[/tex] represent a proportional relationship.

What is proportional relationship?

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y\div x = k[/tex]  or [tex]y = kx[/tex]

here, we have,

we know that,

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

so, we get,

choice A) [tex]y=30x[/tex]

Is a linear equation that passes through the origin

therefore,

The case A) represent a proportional relationship

choice B) [tex]y=5x[/tex]

Is a linear equation that passes through the origin

therefore

The case B) represent a proportional relationship

choice C) [tex]y =6x[/tex]

Is a linear equation but not passes through the origin

therefore

The case C) does not represent a proportional relationship

choice D) [tex]y = \dfrac{1}{5}x[/tex]

Is a linear equation but not passes through the origin

therefore

The choice D) does not represent a proportional relationship

Hence, The solution is, choice B) [tex]y=5x[/tex] represent a proportional relationship.

To learn more on proportional relationship click:

https://brainly.com/question/7851854

Will give 50 points answer all

Answers

yaaaaaaaaaaaaaaaaah yes

please do at least one page -- urgent!!

Answers

Answer:

number 1 is 6.42

Step-by-step explanation:

I just used a calculator

Page 1:

Find the product.

1) Exact form- 45/7, Mixed Numbers form- 6/3/7

2) Exact form- 15/2, Mixed Numbers form- 7/1/2

3) Exact form- 33/13, Mixed Numbers form- 2/7/13

4) Exact form- 4

----------------------------------------------------------------------------------------------------------

Find the Quotient.

1) Exact form- 3

2) Exact form- 3/19

3) Exact form- 18/35

4) Exact form- 40/9, Mixed Numbers form- 4/4/9

----------------------------------------------------------------------------------------------------------

Page 2:

Find the Product.

1) Exact form- 3

2) Exact form- 15/14, Mixed Numbers form- 1/1/14

3) Exact form- 2/3

4) Exact form- 19/55

----------------------------------------------------------------------------------------------------------

Find the Product.

1) Exact form- 3/5

2) Exact form- 27/16, Mixed Numbers form- 1/11/16

3) Exact form- 22/7, Mixed Numbers form- 3/1/7

4) Exact form- 1/14

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If the ratio of yellow to green is 5:6 drops per container, how many containers will be made if there were 121 drops used? What would the new equivalent ratio be?​

Answers

Answer

Step-by-step explanation:

Let number of yellow drops be 5x
Let number of green drops be 6x
5x+6x=121
11x=121
X=121/11
X=11
11 containers will be made

What is the range of the following set of numbers?

114, 90, 83, 101, 97, 142, 117, 87, 72

70
59
45
42

Answers

The range is 70. To get this all you have to do is subtract the lowest number from highest. So that would be 142-72=70

Answer:70

Step-by-step explanation: To find range subtract the largest number (142) from the smallest number (72)

142-72=70

the total number of spikes in the antlers of three male elks is 32. the oldest elk has four times as many spikes as the youngest elk. the second oldest elk has eight spikes more than the youngest elk. how many spikes does each elk have in their antler?

Answer as an X equation and find the X

Answers

Answer:

the oldest elk=4(x)

second oldest elk=x+8

youngest elk=x

total spikes=32

4x+x+8+x=32

6x+8=32

6x=32-8

6x/6=24/6

x=4.

the oldest elk =4(4)=16

Step-by-step explanation:

the youngest elk=4

the second oldest elk=4+8=12

16+4+12=32

Is 15 3/5 equal to 10 1/2? is it under or over?


help please xx

Answers

Answer:

Over

Step-by-step explanation:

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