The base and height of a triangle are in the ratio 4: 5. If the area is 640 sq. cm, find the base and height.​

Answers

Answer 1

Answer:

base = 32 cm , height = 40 cm

Step-by-step explanation:

ratio of base : height = 4 : 5 = 4x : 5x ( x is a multiplier )

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height ) , then

A = [tex]\frac{1}{2}[/tex] × 4x × 5x = 2x × 5x = 10x²

given A = 640 , then

10x² = 640 ( divide both sides by 10 )

x² = 64 ( take square root of both sides )

x = [tex]\sqrt{64}[/tex] = 8

Then

base = 4x = 4 × 8 = 32 cm

height = 5x = 5 × 8 = 40 cm


Related Questions

Cucheze
mredit
TASK #9
At McDonald's four cheeseburgers
and three medium fries have a
total of 2290 calories. Six
Cheeseburgers and twomedium
fries have 2560 calories.
How many calories doeseach item
contain?

Answers

X= cheeseburgers
Y= mediun fries

4x+3y=2290
6x+2y=2560

We want to solve fries first so we multiply the top with 2 and the bottom with -3

8x+6y=4580
-18x-6y=-7680

Now we reduce
-10x=-3100

Now we must divide by -10

X= 310


Cheeseburgers are 310calories

Now just input that in one of the equations

4x+3y=2290

4*310+ 3y=2290
1240+ 3y= 2290

Change the place of 1240
3y=2290-1240
3y=1050

Now divide by 3

Y=350
Fries have 350calories

What is the volume of a hemisphere with a diameter of 8.9 cm,

Answers

Answer:

The volume of the hemisphere is 1,475.73cm^3.

Step-by-step explanation:

Refer to:

https://brainly.com/question/23826439

184.6cm³ up you are rounding to the nearest tenth 184.56cm³ if you are rounding to the nearest hundredth

It's a hemisphere instead of a sphere so the formula is 2/3×π×r³ which gives us the equation of 2/3×π×4.45³ snd the reason we use 4.45 is because the diameter is 8.9 so we have to divide that by 2 to get the radius which is 4.45

How much warmer is 82 then -40

Answers

122 degrees because you have to add both of them together to get the answer so just turn the negative number into a positive number and answer it like that

Answer:

122

Step-by-step explanation:

We are finding the difference, so our equation will be

[tex]82 - (-40)[/tex]

Subtracting by a negative is basically the same as adding. (- & - = +)

[tex]82 - (-40) =82 + 40[/tex]

Now add 82 + 40

  [tex]82[/tex]

+ [tex]40[/tex]__

122

Hope this helps! If you have notes try writing out the steps for how to solve. :))

4x + 2y = -12 3x + y = -10 please help system by substitution.

Answers

Answer:

(-4, 2)

Step-by-step explanation:

4x+2y=-12

3x+y=-10

Start by dividing the first equation by 2 to simplify it...

2x+y=-6

Then, subtract -2x from both sides to isolate y...

y=-2x-6

Substitute -2x-6 for y in the second equation...

3x-2x-6=-10

Combine like terms...

x-6=-10

Add 6 to both sides

x-6+6=-10+6

x=-4

Plug -4 in for x to solve for y:

3(-4)+y=-10

-12+y=-10

Add 12 to both sides

-12+12+y=-10+12

y=2

(x,y)=(-4,2)

A frequency distribution plotted on a curve can be both symmetrical or skewed. A curve skewed to the right is also referred to as ____.

Answers

positively skewed is the answer.

please help I'll mark brainliest​

Answers

Answer:

[tex]\triangle BAD [/tex]

Step-by-step explanation:

[tex]\triangle BAC [/tex] is congruent to [tex]\triangle BAD [/tex]

Question 2(Multiple Choice Worth 3 points)
(10.06 LC)

Which model can be used to show the sum of one and one fifth plus two and one fifth?


A. A number line from zero to four partitioned into fifths. There is one hop of one and two hops of one fifth from one and two fifths to two and four fifths.

B. A number line from zero to one partitioned into fifths. There is a gray rectangle above the number line stretching from zero to one and two fifths. To the right is a lighter gray rectangle above the number line stretching from one and two fifths to three and three fifths.

C. A number line from zero to one partitioned into fifths. There is a gray rectangle above the number line stretching from zero to one and two fifths. To the right is a lighter gray rectangle above the number line stretching from one and two fifths to three and three fifths.

D. A number line from zero to four partitioned into fifths. There are two hops of one and one hop of one fifth from one and one fifth to three and two fifths.

Answers

Answer:

noseeeeeeeeee3eeeeeeeeeeeeeeee

Step-by-step explanation:

[tex]15y65y) - 5y9 \div y {3y {.5}^{?} }^{?} [/tex]

es la c

Answer: It’s D. I think?

Step-by-step explanation: I hope this helps!

In ΔJKL, l = 880 inches, ∠J=63° and ∠K=11°. Find the length of j, to the nearest inch.

Answers

Answer:

J = 816

I hope this helps you and good luck

What is the area of this triangle
480
525
675
960

Answers

Answer:

it 480

Step-by-step explanation:

if your k 12 this is right

Answer:

The Answer is A. 480, I picked 525 and got it wrong because I was doubting that it wasnt 480 but it was. well good luck

if s square has an area 25cm2 what is the length of a Side of the square​

Answers

Answer:

5 cm

Step-by-step explanation:

Square has the formula = S × S

S × S = S²

S = Side

:- Solution

Square has an area 25 cm²

Length of a side of the square :

25 cm² = S²

S² = 25

S = √25

S = 5 cm

________________________

help i need sb good in math!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

104 m²

Step-by-step explanation:

Area of the quadrilateral

= width × length

= 10 m × 8 m

= 80 m²

Area of the triangle

= ½ × base × height

= ½ × 8 m × 6 m

= 24 m²

Total area of the shape

= Area of the quadrilateral + Area of the triangle

= 80 m² + 24 m²

= 104 m²

Solve the inequality
5-4x<17

Show steps please

Answers

Answer: [tex]x>-3[/tex]

Step-by-step explanation:

[tex]5-4x<17[/tex]

[tex]5-4x-5<17-5[/tex]

[tex]-4x<12[/tex]

Multiply both sides by -1 and reverse the inequality:

[tex]\left(-4x\right)\left(-1\right)>12\left(-1\right)[/tex]

[tex]4x>-12[/tex]

[tex]x>-3[/tex]

pls this is very urgent !!!
can someone pls explain this, thank u sm! ​

Answers

Answer:

The answer is 1204

Step-by-step explanation:

explanation in the pictures

help

i need help not now but right now
I will mark you (THE CHOSEN ONE)

Answers

Answer: 1/2

Step-by-step explanation:

which of the following has a graph that is a straight line (70 POINTS HURRY PLSSS)

Answers

Answer:

A answer 1

Step-by-step explanation:

that's my best guess and I'm 99.9% sure it's right. sorry if I'm wrong I wish you luck):

Answer:

A) Equation 1

Step-by-step explanation:

A) Equation 1 is representing the straight lineB) Equation 2 - square root functionC) Equation 3 - quadratic functionD) Equation 4 - cubic function

Correct choice is A

A parabola opens to the left. Which could be the equation of the parabola? (x – 4)2 = 4(y 3) (x – 4)2 = –4(y 3) (y – 4)2 = 4(x 3) (y – 4)2 = –4(x 3).

Answers

The equation of a leftward parabola is [tex]\rm (y - 4)^2 = -4(x+ 3)[/tex]. Then the correct option is D.

What is the parabola?

It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called the focus, and the non-movable line is called the directrix.

The parabola is open to the left.

We know that the equation of the parabola will be in square form.

a.  [tex]\rm (x - 4)^2 = 4(y +3)[/tex]

This is an equation of an upward parabola.

b.  [tex]\rm (x - 4)^2 = -4(y+ 3)[/tex]

This is an equation of a downward parabola.

c.  [tex]\rm (y - 4)^2 = 4(x+ 3)[/tex]

This is an equation of a rightward parabola.

d.  [tex]\rm (y - 4)^2 = -4(x+ 3)[/tex]

This is an equation of a leftward parabola.

Thus, the correct option is D.

More about the parabola link is given below.

https://brainly.com/question/8495268

7a - 8 - 12a + 4 (please give steps)

Answers

Answer:

The answer will be -5a-4

Step-by-step explanation:

Subtract 7a-12a=-5a

Add -8+4=-4

which makes the answer -5a-4

Hope this helps:)

Answer:

a = -4/5

Step-by-step explanation:

7a - 8 - 12a + 4

First, you want to put like terms together. You can rearrange the terms because of the Commutative Property.

7a - 12a - 8 + 4

I will put parentheses around the negative numbers, so it is easier to see the negative numbers.

7a (- 12a)( - 8) + 4

Now you combine the Like Terms

7a-12a     and     -8+4

- 5a - 4

Now you need to get the term with a all by itself on the other side of the equals sign. You can do this by adding the term over to the other side.

-5a - 4

+5a       +5a

Now you have

- 4 = 5a

To get the final answer you need to get a all by itself. You can do this by dividing 5 on both sides.

-4/5=5a/5

So you get

-4/5 = a

as your final answer.

I have $56.00 more than my cousin, who has $84.00 more than my brother. If I have $120.00, how much money does my cousin have?



Canute is 8 years older than his sister Rose who is twice the age of Dan. Dan is 5 years old. How old is Canute?



1. A factory employee is required to pack 180 boxes of goods each day for a 5-day work week. Two days he missed the quota by 12 and 19 respectively. How many boxes did he pack for that week?



who ever answer will be marked brainliest ​

Answers

Answer:

Cousin has $64, Canute is 18

Step-by-step explanation:

1. x + 56 = 120

  b + 84 = x

  Cousin (x) is 64

2. 8 + r = c

   2d = r

   d = 5

   Canute (c) is 18

3. 180 = 5 days

    Missed by 12 and 19

    180 - 12 - 19 = 149

3 Two mobile phone companies have different tariffs for text messages:
Phone company X charges $20 per month for unlimited texts. .
Phone company Y charges $5 per month and $0.05 per text. .
a) For each company, write a formula that gives the total monthly charge
($C) for someone who sends n texts.
b) Draw a graph of C against n for both companies on the same axes,
showing the monthly charges for up to 500 texts.
c) From your graph estimate the number of texts at which both companies
would have the same monthly charge.

Answers

Answer:

B is the perfect answer for your question

a) company x formula---> C = 20

company y formula ----> C = 0.05n + 5

b) graph attached

c) 20 = 0.05 n + 5

15 = 0.05n

n = 300 messages and they will have the same monthly charges

The area of the unshaded region is 22.5cm. What is the area of the rectangle? A11.25cm . B22.5cm . C45cm . D90cm .

Answers

Answer:

45cm2

Step-by-step explanation:

because the shaded areas = to the non shaded one so just multiply it by 2 to get 45cm2

(Hope this helped you out)

Find the equation of the line that has a slope of 3 and passes through the point (2,7). Write the equation in point-slope form.

Answers

To write anything in point slope form you need to know the formula which is y-y=m(x-x) then plug things in. So the equation would be y-7=3(x-2)

Quadrilateral A'B'C'D prime is the result of dilating quadrilateral ABCD about point P by a scale factor of 5/3

Answers

Answer:

1. False

2. False

Step-by-step explanation:

The statement "BC and B'C' are on the same line" is false, and the statement "the lengths of CD and C'D' are equal" is false.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Quadrilateral A'B'C'D prime is the result of dilating quadrilateral ABCD about point P by a scale factor of 5/3

To determine whether each claim about the properties of ABCD and A'B'C'D' is true or false.

The points in the image by multiplying the coordinates of the points in the preimage by the scale factor.

Thus, the statement "BC and B'C' are on the same line" is false and the statement "the lengths of CD and C'D' are equal" is false.

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ2

I really need help. Only do number 8. please someone.

Answers

Answer:

I think Problem Number 8 equals 1 the Y axis is the only one with the Ysd that has 1 in it

Step-by-step explanation:

Answer<3

1.2x

2.2

3.x                                                

                               Tell me if its wrong I can fix it fast <3

                                     have a good day<3

A cylinder-shaped water tank has a diameter of 10 m and a height of 10 m.

What volume of water does the tank contain when it is 75% full?

Use 3.14 to approximate pi.

Enter your answer as a decimal to the hundredths place in the box.


?=m³

Answers

Answer:

588.75m³

Step-by-step explanation:

I found out the area of the circle on the bottom and it was 78. 5 which I then times by the height to make 785. 75% of 785 is 588.75

How do i even solve this?

Answers

Answer:

Step-by-step explanation:

# 34.

A ≈ 14² - 3.14 × 7² = 42.14 cm²

# 35.

A ≈ [tex]\frac{20^2 - 3.14 * 10^2}{2}[/tex] = 43  

# 36.

A = 14² - 4 × 5² = 196 - 100 = 96 m²

Explain how to tell which side of a right triangle is adjacent to an angle and which side is the hypotenuse.

Answers

Step-by-step explanation:

In the diagram, AB is adjacent to Angle"a", because if we don't consider hypotenuse, it is the only associated segment to the angle.

The segment opposite to the right angle is called Hypotenuse.

The last one, AC segment, is called the Opposite because it is the opposite to Angle"a".

If we look at it from AngleC, however, its Adjcent will be segment AC, and Opposite will be segment AB.

What times what gives you 15 but when added gives you 8?

Answers

Answer: 5 x 3 = 15 because 5 + 3 = 8

Step-by-step explanation:

Answer:

5 and 3

Step-by-step explanation:

5 x 3 = 15

but,

5 + 3 = 8 :)

is this a proportion show work 8/24 = 2/63

Answers

8,9,10 are my favorite numbers!!! What r yours

∑ Hey, irisraya1 ⊃

Answer:

No.

Step-by-step explanation:

Given:

[tex]\frac{8}{24}=\frac{2}{63}[/tex]

Solution:

We can cross multiply to see if this proportion works.

[tex]63\times8=504[/tex]

[tex]24\times2=48[/tex]

[tex]48\neq 504[/tex]

As we can see, 48 and 504 does not equal.

Hence, this proportion doesn't work.

xcookiex12

8/22/2022

please help im on a timer

Answers

answer: 10.99 ft
explanation:

Determine the slope and y -intercept for each line shown. Then write the equation of the line (will give Brainliest)

Answers

Answer:

1.

[tex]y=\frac{1}{4}x+2[/tex]

m= [tex]\frac{1}{4}[/tex]

b= 2

2.

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

m= [tex]-\frac{1}{3}[/tex]

b= 1

3.

[tex]y=3x+4[/tex]

m= 3

b=4

Step-by-step explanation:

1. The line intersects the y-axis at the point (0,2) therefore its y-intercept is b=2.

The line rises up 1 unit on the y-axis for every 4 units on the x-axis therefore the line has a slope of m=1/4.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that [tex]y=\frac{1}{4}x+2[/tex]

2. The line intersects the y-axis at the point (0,1) therefore its y-intercept is b=1.

The line down up 1 unit on the y-axis for every 3 units on the x-axis therefore the line has a slope of m= -1/3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that    [tex]y=-\frac{1}{3}x+1[/tex]

3. The line intersects the y-axis at the point (0,4) therefore its y-intercept is b=4.

The line rises up 3 units on the y-axis for every 1 unit on the x-axis therefore the line has a slope of m=3.

Considering the equation of a line (y=mx+b), we plug in the variables we have found into the formula to find that  [tex]y=3x+4[/tex]

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