The ratio of the height to the base of a triangle is 3:4. If the base is 24 cm, what is its
area?

Answers

Answer 1

Answer:

height = 18 cm

Step-by-step explanation:

Let the height be 'x'

3 :  4 :: x : 24

Product of means =  product of extremes

4 *x = 24 * 3

     [tex]x = \frac{3 * 24}{4}\\\\x = 3 * 6\\\\x = 18[/tex]

Answer 2

Answer:

216cm^2

Step-by-step explanation:

If the ratio of height to base is 3:4 then

height = (3/4)*base

height = (3/4)*24cm = 18cm

Area = base*height/2 = 24cm * 18cm / 2 = 24cm * 9cm = 216cm^2


Related Questions

WILL GIVE BRAINLIEST AND 40 POINTS TO CORRECT ANSWER (URGENT)

chef daniels places her favorite recipes in a bag for 4 pasta dishes, 5 casseroles, 3 types of chili, and 8 desserts. If Chef Daniel chooses two recipes at random (but replaces the first one before drawing the second), what is the probability that the first recipe she selects is a casserole and the second recipe she selects is a dessert?

Answers

Answer:

answer:

answe:

answ:

ans:

an:

as:

a:

:

How much salt is needed to fill a pit (rectangular) that is 8 m deep and 16 m wide and 4 m long? Show work

Answers

Answer:

512

16 · 4 = 64

64 · 8 = 512

HALLPPP DUE TODAY!!!! I RLLY NEED THIS DONE ASAP!! PLS AND THANK YOU!!!!
Find the compound interest
Principal: $750
Interest Rate: 6% or 0.06 Time: 2 years

Answers

Answer:92.7

Step-by-step explanation:

Use the compound interst formula: A= P(1+r)^n

750(1+.06)^2=842.7

Now substract the principal to find the compound interest : 842.7-750= 92.7

Hope it helps

750(1+.06) to the power of 2
= 842.7 - total
= 92.7 - interest

This question is probably easy but I'm not really smart so please help :(

Answers

Answer:

All I know is that the total of the provided numbers make 58 feet and that you should probably break down the shapes into 2 different shapes. Then try to find the perimeters of each shape. I'm not sure what to do afterwards. Maybe I helped jogged your memory on what to do? I hope I helped some.

Which answer choice below describes an equation?
A
7 - X
B
x is 10 times greater than y
3
+n
5
D
Six times a number

Answers

b

x is 10 times greater then y 3+n 5

como usar a camera frontal do nokia?

Answers

Answer:

Toque para cambiar a la cámara frontal.

Step-by-step explanation:

Answer: Uhhh if do you want to ask a question go to the bottom right corner and click the + and then you can use the camera.

What is the probability that a randomly selected subprime mortgage in the state during November 2008 was not current? (Round your answer to two decimal places.)

Answers

Complete question is;

The attached chart shows the (approximate) total number of subprime home mortgages in a state in November 2008, broken down into four categories.

What is the probability that a randomly selected subprime mortgage in the state during November 2008 was not current? (Round your answer to two decimal places.)

Answer:

Probability that the one randomly selected was not current = 0.36

Step-by-step explanation:

From the attached image, we can see that the four mortgage categories are mutually exclusive. This means that none of the 4 status depends on any other.

From the image attached;

Total number of subprime mortgages = 196,280

Number of current mortgages = 126,330

Thus;

Probability of a randomly selected subprime mortgage being current = 126330/196280 = 0.64

Then;

Probability that the one randomly selected was not current = 1 - 0.64

Probability that the one randomly selected was not current = 0.36

Marcy can walk 12 blocks in 5 minutes. If each block is 50 feet long, how many feet will she walk during the 30 minutes that she walks each dog?

Answers

Answer:

3600ft.

Step-by-step explanation:

12blocks x 50ft/block = 600 feet/5min.

30min/5min = 6

600 x 6 = 3600 ft.

The following table lists the frequency distribution for 60 rolls of a die.
Outcome
1-spot 2-spot 3-spot 4-spot 5-spot 6-spot
Frequency 10
12
10
10
13
5
Test at the 5% significance level whether the null hypothesis that the given die is fairns true.
False
True

Answers

Answer:

False.................

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

False.

ThanksHope it helps

{7x+4y=-8
{-8x-5y=13
Solve system of equation

Answers

Answer:

(x,y)=(4,-9)

Step-by-step explanation:

The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).

What is the solution of the equation?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The solution of the equation means the value of the unknown or variable.

The system of the equation is given below.

7x + 4y = – 8      …1

8x + 5y = –13     …2

Multiply equation 1 by 5 and equation 2 by 4. Then subtract the equation 1 from 2, then we have

32x – 35x = –52 – (–40)

          –3x = –12

              x = 4

Substitute the value of x in equation 1, then the value of y will be

7(4) + 4y = – 8

 28 + 4y = –8

          4y = –36

            y = –9

The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Fencing with the length of 840 m surrounds two identical playing fields with a common side. The fields can be side-by-side and separated by a fence, as shown in the figure. Find the dimensions in the maximum area of each field.

Answers

Answer:

x = 140   y = 105                x · y = 14700 m²

Step-by-step explanation:

good question

it looks like 3 sides of length x

and 4 sides of length y

area 1 = area 2

and the length of all the sides sum to 840

  3x + 4y = 840      find the maximum area = 2· x · y

This is a calculus problem that I can't remember how solve

 if x = 0   y = 210

           if   y = 0   x = 280       280 / 2 = 140   the mid-point  the logical answer

if x = 140   y = 105                x · y = 14700 m²         this appears to be the max

if x = 135   y = 108.75            x · y = 14681.25 m²      smaller area

if x = 145   y = 101.25             x · y = 14681.25 m²      smaller area

I need an eqaution with a quadratic and take the first derivative

 y = (840 - 3x) / 4      xy = max area     y = max area/x

(max area) / x = (840 - 3x) / 4      solve for x

    max area  = x(840 - 3x) / 4

    max area  = [840x/4 - 3x²/4] '        

    max area  = 210x  -  3x²/4            take the first derivative  

    max area  = 210  -  6x/4               maximum occurs when slope = 0

           0   =  210 - 3x/2    

        3x/2 = 210

           x  = 210·2/3

           x  = 420 / 3

          x  = 140   y = 105

3(140) + 4(105) =   420 + 420  = 840    checks

Help me with this question

Answers

Answer:

20[tex]\pi[/tex]

Step-by-step explanation:

Circumference formula: [tex]2\pi r[/tex]

Since the diameter is 20, the radius will be half of the diameter

r=d/2, where d=20

r=20/2=10

C=[tex]2\pi r[/tex]

C=2(10)[tex]\pi[/tex]

C=20[tex]\pi[/tex]

32614 round to nearest 100 place?​

Answers

Answer:

32600

Step-by-step explanation:

32700 would be the answer

answer this asap I will give out brainliest test: "Birmingham was like an oven" (p 162) is an example of... *
idiom
personification
simile
metaphor

Answers

Answer:

that's confusing.. is there a picture?

John gets his first job working at an ice cream shop because he loves ice cream. He gets paid $9 per hour. Create a table to demonstrate how much money John will make from 0 - 6 hours. Let x equal the number of hours worked, and let y equal the amount of money that he will make. Then, create a graph with your results.​

Answers

Answer:

1hr: $9

2hr: $18

3hr: $27

4hr: $36

5hr: $45

6hr: $54

Step-by-step explanation:

You can use Desmos, the graphing calculator (online tool)  

help finding arc of a circle geometry problem​

Answers

i’m not sure what you’re asking but hopefully this helps
Whatever he said should help

I need the answer don’t scam with a link

Answers

I believe the answer is A
i also believe the answes is definitely A chose a

can anyone help me with this and explain it will mark brainlyiest.

Answers

9514 1404 393

Answer:

  x = (8/9)(4 +√7) ≈ 5.9073

Step-by-step explanation:

Maybe you want to know the value of x.

The Pythagorean theorem can be used to find the length of the bottom side of the right triangle. It is ...

  bottom = √((5x)² -(3x)²) = √(16x²) = 4x

Then the cosine of the angle at lower left is ...

  cos(α) = Adjacent/Hypotenuse

  cos(α) = 4x/5x = 4/5

Now, the law of cosines can be used to find x. Using the angle whose cosine we just found, we have ...

  (4x)² = (5x)² +8² -2(5x)(8)cos(α)

  16x² = 25x² +64 -80x(4/5)

  9x² -64x +64 = 0 . . . . . put in standard form

The quadratic formula can be used to find the solutions.

  x = (-(-64) ±√((-64)² -4(9)(64)))/(2(9))

  x = (64 ±√1792)/18 = (32 ±8√7)/9 ≈ {1.204, 5.907}

In this context, only the larger solution makes sense.

  x = (8/9)(4 +√7) ≈ 5.9073

_____

Formulas used

Law of Cosines

For sides a, b, c and angle C opposite side c, ...

  [tex]c^2=a^2+b^2-2ab\cdot\cos(C)[/tex]

Quadratic formula

For quadratic ax²+bx+c=0, the solutions are ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Pythagorean theorem

For legs a, b, and hypotenuse c of a right triangle, ...

  c² = a² + b²

_____

Alternate solution

As an alternative to using the Law of Cosines, you can define "y" to be the length of the dashed bottom leg of the triangle whose hypotenuse is 4x. Two equations can be written using y and the Pythagorean theorem for the right triangles in which y is all or part of a leg. This set of equations can be solved for x to get the same result as the one shown above.

Can someone help me with this question plz Show work.

Answers

Answer:

D. 32.3

Step-by-step explanation:

Length-a  

Width-b

A=ab=6.8×4.75=32.3

Jackie wants to buy a $25,000 car, but she can afford to pay only $400 per month for 5 years. If the interest rate is 8.25% compounded monthly, how much does she need to put down?

Answers

Answer:

A down payment of $5,388.50  to get the principle to $19611.50  for a monthly payment of $400 for 60 months at 8.25%

Step-by-step explanation:

I used a payment calculator

I don't know how else to solve the problem.  I thought I could find the equation, but I don't think this is it, since P didn't equal 19611.50

A = P[r(1+r)n] / [(1+r)n - 1]    

if you have the correct formula follow this process

A = 400        P principle ???    r = i%/12 = 0.0825/12 =  0.006875    n= 5×12 = 60

     solve for P      then    down payment = 25000 - P

 P = A / [r(1+r)n] / [(1+r)n - 1]    

    = A [(1+r)n - 1]  /  [r(1+r)n]

    =  400 [(1 +.006875)60 -1]  /  [0.006875( 1 +0.006875)60]

     

Find the area of each figure. Use 3.14 for phone

Answers

Area of triangle: 3m

Area of rectangle: 24m

Area of semi-circle: 6.28m

Answer:

33.28 m²

Step-by-step explanation:

The figure consists of three shapes:

1) A semicircle of radius 2 m.

2) A rectangle 4 m by 6 m.

3) A triangle with base 3 m and height 2 m.

area = ½πr² + LW + ½bh

area = 3.14 * (2 m)^2/2 + (6 m)(4 m) + (3 m)(2 m)/2

area = 6.28 m² + 24 m² + 3 m²

area = 33.28 m²

How do you write 25% as a fraction ?

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Write down the percent divided by 100 like this:

25% = 25/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 25 is an integer, we don't have numbers after the decimal point. So, we just go to step 3

(or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(25,100) = 25. So,

(25÷25)/(100÷25) = 1/4 when reduced to the simplest

help me plzzzzzzzzzzzzzzzz

Answers

Answer:

ok

Step-by-step explanation:

Answer:

post the whole problem it's cut off

Question Progress
Homework Progress
20/32 Marks
a) Write 375 as the product of prime factors.
Give your answer in index form.
b) Work out the Highest Common Factor of 375 and 150.

Answers

Answer:

a) 375 = 3 × 3 × 3× 3 × 5

in index form it is 3 × 5³.

prime factor of,

150 = 2 × 3 × 5 × 5.

To find the HCF, multiply all the prime factors common to both numbers: Therefore, HCF = 3 × 5 × 5.

ANS : 75

hope this helps you☺️☺️

Betsy spent 26 days traveling in Europe. How many weeks and days did Betsy
travel in Europe?
A. O 2 weeks 6 days
B. O 3 weeks 5 days
c. O 4 weeks 2 days
D. O 5 weeks 1 day

Answers

Answer:

3 weeks 5 days

Step-by-step explanation:

A week is 7 days

26/7 = 3 remainder 5

3 weeks 5 days

What is the area of this figure?

Answers

Answer:

58m^2

Step-by-step explanation:

2x9 = 18

8x5 = 40

18+40 = 58

is this right??? if not helpp

Answers

Yupz u b right cuz 8+9 is ur answer Don’t be so hard on yourself take it easy

What is the sum?
3
4
3x+4
****
О.
3x+4
o
7
xxx



HELP please 52 minutes left !!!!!!

Answers

Answer:

c. [tex] \frac{3x + 4}{x^2} [/tex]

Step-by-step explanation:

Given:

[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]

Required:

The sum

Solution:

[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]

Common denominator is x².

Therefore, divide x² by the denominator of each fraction and multiply by each of its denominator.

Thus, we would have:

[tex] \frac{3x + 4}{x^2} [/tex]

If you had 2 angles that equal 180 degrees and you was given a angle of
117. What degree is the missing angle? *

Answers

Answer:

angle=63°

I hope it's helps you

1. Jim is tracking the progress of his plant’s growth. Today the plant is 8cm high. The plant grows 3.5cm per day. What will the height of the plant be on day 28? (Hint: “today” is day 0).

2. The average inflation rate of the U.S. dollar over the last six years is 2.8% per year. If a new car cost $29,000 six years ago, how much would it cost today?

3. The population of Mickey Village is 48,000 today. Every other year the population increases by 1,550 people. In approximately how many years will the population exceed 70,000 people?

4. The population growth rate is 3.0% per day with a current population of 30,000.
a. What is the TDouble?
b. What will the populate be in 10 years?

5. The half-life of substance X is 3.5 years. How long will it take for a 96.0 mg sample of substance X to decay and only have 3.0 mg of it remaining?

6. Paul opens a savings account with $900. He deposits $550 per month. Assume that he does not withdraw money or make any additional deposits.
a. How long will it take Paul to save $8,100?
b. How long will it take Paul to save enough money for a $250,000 house?
c. Explain why your answers to 6a and 6b make sense.

7. The doubling time of a population of flies is 20 days. If there are initially 250 flies, how many flies will there be in 46 days?

8. Suppose that a bacteria population doubles every eleven hours. If the initial population is 2,000 individuals, approximately how many hours would it take the population to reach 20,000?

Answers

1. Jim is tracking the progress of his plant’s growth. Today the plant is 8cm high. The plant grows 3.5cm per day. What will the height of the plant be on day 28? (Hint: “today” is day 0).

"The plant grows 3.5 cm per day" means that the function grows by 3.5 cm each day. We can make a function like this:

y = 8 + 3.5x

Day 0 -> Day 28 is +28 days, so plug-in x with 28 to find out how much it would have grown in 28 days PLUS the original height of the plant, 8 cm.

y = 8 + 3.5(28) <-- see how I replaced x with 28

Simplify

y = 8 + 98 = 106 cm at day 28

2. The average inflation rate of the U.S. dollar over the last six years is 2.8% per year. If a new car cost $29,000 six years ago, how much would it cost today?

2015, 2016, 2017, 2018, 2019, 2020, 2021

Just to help you imagine the years, we need to find the car's value from $29,000 in 2015 to 2021 using the idea that the car's value increases by 2.8 percent. What does 2.8 percent mean and how do we use this information to find out how much it increases? We need to convert this to a decimal so we can multiply it by 29,000 easily. First, convert 2.8% to a decimal = 0.028. Then we have to add 1 to 0.028. Why? Because we need to make sure that we still have the original 100% of the 29,000. If we forget the 1 then we're just finding 2.8% of 29,000! So, now we know that our multiplier by each year is 1.028. Now we have to multiply.

29,000 x (1.028)^6 (we have a power of 6 because remember, we are multiplying the 1.028 every year, and there are 6 years!)

Simplify: 34,226.0425 that rounds to 34,226.0425 dollars

3. The population of Mickey Village is 48,000 today. Every other year the population increases by 1,550 people. In approximately how many years will the population exceed 70,000 people?

The details of this question are confusing, so I won't answer this. Sorry, I'm really short on time. I hope I could help the best I could.

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