The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches?
6 inches
8 inches
12 inches
20 inches

Answers

Answer 1

Answer:

[tex]\boxed {\boxed { \sf 12 \ inches}}[/tex]

Step-by-step explanation:

The area of a triangle can be calculated using the following formula.

[tex]a=\frac{1}{2} bh[/tex]

The area of the triangle is 24 square inches and the base is 4 inches long.

a= 24 in² b= 4 in

Substitute the values into the formula.

[tex]24 \ in^2 = \frac {1}{2} * 4 \ in * h[/tex]

Multiply on the right side of the equation.

[tex]24 \ in ^2 = ( \frac{1}{2} * 4 \ in ) * h[/tex]

[tex]24 \ in ^2 =2 \ in *h[/tex]

We are solving for the height of the triangle, so we must isolate the variable h. It is being multiplied by 2 inches. The inverse of multiplication is division, so we divide both sides by 2 inches.

[tex]\frac { 24 \ in ^2 }{2 \ in }= \frac{ 2 \ in *h}{ 2 \ in}[/tex]

[tex]\frac { 24 \ in ^2 }{2 \ in }= h[/tex]

[tex]12 \ in = h[/tex]

The height of the triangle is 12 inches.


Related Questions

5-_=4 pls help.......​

Answers

Answer:

5 - ? = 4

5- 1 = 4

use simple method ..

➪5 - 4 = ?

➪1 = 5-4

➪ 5- 1 = 4

hopes its helps you ..

For each of the following equations, determine whether y is a function of x.

x= -7y^2
b. x = 1/4y
c. y^2 = 4x +9
d. y= 5x +8

Answers

9514 1404 393

Answer:

  a) not a function

  b) is a function

  c) not a function

  d) is a function

Step-by-step explanation:

If the graph passes the "vertical line test," then the relation is a function.

Choices B and D are linear equations. Their graph is a straight line, so each x-value corresponds to exactly one y-value. (Every non-vertical line passes the vertical line test.)

Choices A and C are equations of parabolas that open horizontally. It is easy to draw a vertical line that intersects the graph twice, so these relations fail the vertical line test.

__

  B, D -- functions

  A, C -- not functions

An MP3 player costs $220, and sales tax is 73%. What will the total price be,

with tax?

Answers

Answer:

221.61

Step-by-step explanation:

First we need to put 73% into decimal form.

73%= 0.73.

0.73 * 220= 160.6

Sales tax is 0.161.

After rounding its $1 and 61 cents.

220 + 1.61 = 221.61.

Hope that helped.

Pls help me

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.

Select all that apply.

(f(x) = 86-8)
19(x) = log(3x)+2

Answers

2 Answers: Choice D and Choice E

Explanation:

I used GeoGebra to determine that the approximate solutions in (x,y) form are

(0.00333, 0)

(9.59682, 3.45925)

These are the locations where the two graphs cross or intersect.

When rounding to the nearest tenth, we end up with (0, 0) and (9.6, 3.5) which is why the answers are D and E.

Be careful to keep in mind that x = 0 is not in the domain of g(x) since log(0) is undefined. So it's fairly misleading to say that (0,0) is an intersection point when it's not even on the graph of g(x). This is one big issue with rounding numbers that we lose crucial information like this.

Answer:

Hello,

x=9.59682

Step-by-step explanation:

Using Excel with the methode of "dichotomie" (divide by 2)

Just modifiy value in A2(start value)  and E1 (precision)

How many hours in 20 days

Answers

Step-by-step explanation:

1 day = 24 hrs

so, 20 days = 20 × 24 = 480 hours

mark me as brainliest

Answer:

480 hours

Step-by-step explanation:

1) Sử dụng phương pháp diện tích chứng minh định lí Pitago: “Trong một tam giác vuông, bình phương cạnh huyền bằng tổng bình phương hai cạnh góc vuông”.
2) Chứng minh rằng tứ giác có một và chỉ một đường nối trung điểm hai cạnh đối chia tứ giác thành hai phần có cùng diện tích là hình thang.

Answers

Answer:

hmm i thought abt it and i think the answer is no

Step-by-step explanation:

What is the length of AD
A.17
B.15
C.7
D.1

Answers

Answer:

15 units

Step-by-step explanation:

Point D is at 8

Point A is at -7

D - A

8 - -7

8+7

15 units

Answer:

the answer is 15

you can just count the number of steps going forward from -7 to 8.

Please help!! 25 points!!

Answers

9514 1404 393

Answer:

  (a)  a^4/(4b^2)

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

__

Your expression simplifies as follows.

  [tex]\dfrac{3a^2b^{-4}}{12a^{-2}b^{-2}}=\dfrac{3}{12}\cdot\dfrac{a^{2-(-2)}}{b^{-2-(-4)}}=\boxed{\dfrac{a^4}{4b^2}}[/tex]

A motorboat travels 189 kilometers in 3 hours going upstream and 475 kilometers in 5 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

Answers

Answer:

boat speed 79 kph

stream speed 16kph

Step-by-step explanation:

Let v be the still water velocity

Let s be the stream velocity

3(v - s) = 189

3v - 3s = 189

   v - s = 63

        v = 63 + s

         5(v + s) = 475

         5v + 5s = 475

5(63 + s) + 5s = 475

315 + 5s + 5s = 475

               10s = 160

                  s = 16 km/hr

v = 63 + 16

v = 79 km/hr

Solve for x

Answer options:
4
5
8
3
2


Answers

Answer:

But the answer is 42

I did I got 42 .

:(

Which point is collinear to the point (2, 1)?
OA) (1,0)
OB) (3,2)
OC) (4,1)
OD (1,3)

Answers

9514 1404 393

Answer:

  all of them (A, B, C, D)

Step-by-step explanation:

Two unique points define a line. Any pair of unique points will always be collinear (reside on the same line).

Each of the points listed, together with (2, 1), will define a line. The two points will be collinear.

Need the help thanks guys

Answers

Answer:

x=−5+√29 or x=−5−√29

Step

Let's solve your equation step-by-step.

x2+10x+10=14

Step 1: Subtract 14 from both sides.

x2+10x+10−14=14−14

x2+10x−4=0

For this equation: a=1, b=10, c=-4

1x2+10x+−4=0

Step 2: Use quadratic formula with a=1, b=10, c=-4.

x=

−b±√b2−4ac

2a

x=

−(10)±√(10)2−4(1)(−4)

2(1)

x=

−10±√116

2

x=−5+√29 or x=−5−√29

Find f (3) for the following function:
f (x) = 4x+3/x^2

Answers

Answer: [tex]12.333[/tex] or [tex]12\frac{1}{3}[/tex] or [tex]\frac{37}{3}[/tex]

Step-by-step explanation:

Replace every x with (3)

[tex]f(x) = 4x+3/x^2\\f(3) = 4(3)+3/3^2\\f(3) = 12+3/9\\f(3) = 12.333 or 12\frac{3}{9}or \frac{111}{9}\\f(3) = 12.333 or 12\frac{1}{3} or \frac{37}{3}[/tex]

look at the image below over 100000000 points brainly instructer

Answers

Answer:

~~314.16

Step-by-step explanation:

lol i dont have 100000000 points. anyways

you can find the area of a sphere with the formula 4πr^2 with r being the radius

this sphere's radius is 5 as shown in the image

so

4π*r^2

4π*(5)^2

=4π*25

=100π

put into calculator

~~314.16cm^3

hope this helps

a store sign reads "Take 75% of the original price when you take an additional 15% off the sale price, which is 60% off the original price." Is the stores sign accurate?

Answers

Answer:

The new price is 66% off the original not 75% off

Step-by-step explanation:

Let x be the original price

First take 60 percent off

x - x*60% = new price

x- .60x = .40x

The new price is .40x

Then take 15 % off

(.40x) - (.40x)*15%

.40x - .40x*.15

.40x - .06x

.34x

100 -.34 =.66

The new price is 66% off the original not 75% off

Look at image to see question

Answers

Answer:

Does the answer help you

Greatest to least just need some help will help ty(please don’t give wrong answer)

Answers

Answer:

try 91.78, 91.58, 91.26, 363.4

Step-by-step explanation:

Hello hello sis happy birthday dear sis happy birthday birthday happy birthday to you sis happy birthday dear sis dear happy birthday dear sis dear dear friend love love miss mommy mommy hello sis dear happy birthday dear sis dear dear sis sis happy birthday dear sis dear happy birthday dear sis dear dear sis sis happy birthday dear sis dear dear sis sis happy birthday dear sis dear dear

Two years ago the population of a town was 40000. The population of the town at present has reached 44100. Calculate the population growth rate of the city.​

Answers

Answer:

5% annual population growth rate

Step-by-step explanation:

Let the percent the population grows by be [tex]X\%[/tex]. The total population, [tex]f(x)[/tex], after [tex]t[/tex] years can be modeled by the function:

[tex]f(x)=40,000\cdot (\frac{X}{100}+1)^t[/tex]

Why?

Let's take a look at a simple example. If we said a number [tex]n[/tex] grew by 10%, we could represent the number after it grew by multiplying [tex]n[/tex] by [tex]1.10[/tex]. This is because growing by 10% is equivalent to taking [tex]100\%+10\%=110\%[/tex] of that number and we convert a percentage to a decimal by dividing by 100.

Therefore, if the population grew [tex]X\%[/tex], we would divide it by 100 to convert it to a decimal, then add 1 (100%) and raise to the power of [tex]t[/tex] (number of years) to multiply by the initial population of 40,000 to get the total population after [tex]t[/tex] years.

Since the population of the town after two years is 44,100, substitute [tex]f(x)=44,100[/tex] and [tex]t=2[/tex] into [tex]f(x)=40,000\cdot (\frac{X}{100}+1)^t[/tex]:

[tex]44,100=40,000\cdot (\frac{X}{100}+1)^2,\\\\(\frac{X}{100}+1)^2=\frac{44,100}{40,000},\\\\(\frac{X}{100}+1)^2=1.1025,\\\\(\frac{X}{100}+1)^2=\pm \sqrt{1.1025},\\\\\begin{cases}\frac{X}{100}+1=1.05,\frac{X}{100}=0.05, X=\boxed{5\%},\\*\text{negative case is extraneous since X must be positive}\end{cases}[/tex]

Therefore, the city has an annual population growth rate of 5%.

Write an expression that represents the area of the rectangle. Remember A = LW

a)6x2−3x

b)9x2−3x

c)6x-1

d)12x - 2

Answers

Answer:

b) 9x² - 3x

Step-by-step explanation:

Area of a  rectangle = Length × Width

Area for the rectangle = 3x - 1 × 3x

Area = [tex](3x-1)(3x)[/tex]

Step 1. Multiply by combining like terms

3x · 3x = 9x²

Step 2. Multiply -1 by 3x

-1 · 3x = -3x

Step 3. Combine 9x² and -3x

9x² - 3x

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

doomdabomb: All brainliest and thanks are appreciated

and would mean a lot to me, thanks!

Answer:

The area of a triangle is always one half the base b times the height h.

SEE PICTURE BELOW;

If the base is represented by the expression 4x + 2 and the height is represented by 3x, which expression gives the area of the triangle?

9x 9x2 12x2 + 6x 6x2+ 3x  ------->>  CORRECT

Step-by-step explanation:

Edge 2021

Heeeellllllppppp?????

Answers

9514 1404 393

Answer:

  -1

Step-by-step explanation:

We notice that we want term a1 and have terms a17 and a33. These terms (every 16-th term) form an arithmetic sequence. The middle term (a17) is the average of the other two, so we have ...

  a17 = (a1 +a33)/2

  2a17 -a33 = a1 = 2(10) -21 = -1

  a1 = -1

_____

Additional comment

You could go to the trouble to find the general term of the sequence.

  an = a1 +d(n -1)

  a17 = a1 + d(17 -1) = 10

  a33 = a1 + d(33 -1) = 21

Subtracting the first equation from the second, we have ...

  16d1 = 11

  d1 = 11/16

Using the first equation, we find ...

  a1 +(11/16)(17 -1) = 10

  a1 = 10 -11 = -1 . . . . same as above.

Pls help and thanks

Answers

Answer:

A. -10

Step-by-step explanation:

Hi there!

We are given that the equation of line m is [tex]y=\frac{1}{10}x[/tex], and we want to find the slope of the line perpendicular to m

Perpendicular lines have slopes that multiply to get the result of -1

So let's find the slope of line m

The equation is written in the form y=mx+b, where m is the slope, and b is the y intercept

As [tex]\frac{1}{10}[/tex] is in the place of where the slope should be, [tex]\frac{1}{10}[/tex] is the slope

Now find the slope of the perpendicular line with this formula:

[tex]m_1*m_2=-1[/tex]

[tex]m_1=\frac{1}{10}[/tex]

In that case,

[tex]\frac{1}{10}*m_2=-1[/tex]

Multiply both sides by 10

[tex]m_2=-10[/tex]

So the slope of the perpendicular line is -10, or A

Hope this helps!

Someone help me!!! Help

Answers

Answer B.ED

Step-by-step explanation:

Given x – 5 < One-fourth (y – 8)2, which graph represents the inequality?

Answers

Step-by-step explanation:

x - 5 < 2 (y - 8) • 1/4

x - 5 < (y - 8) / 2

2 (x - 5) < y - 8

2x - 10 < y - 8

2x - 10 + 8 < y

y > 2x - 2

graph 2x - 2 and shade the section above

The graph of (y - 8)² > 4x - 20 is the same as the graph of x - 5 < 1/4(y - 8)²

How to determine the graph of the inequality?

The inequality of the graph is given as:

x - 5 < 1/4(y - 8)²

Multiply both sides by 4

4x - 20 < (y - 8)²

Rewrite the inequality as:

(y - 8)² > 4x - 20

Hence, the graph of (y - 8)² > 4x - 20 is the same as the graph of x - 5 < 1/4(y - 8)²


See attachment for the graph

Read more about graphs at:

https://brainly.com/question/14323743

A pizza parlor has a choice of 10 toppings for its pizzas. From these 10 toppings, how many different 7-topping pizzas are possible?

Answers

Answer:

120

Step-by-step explanation:

There are 10 possible toppings to choose from, you choose 7.

Using combinatorics, it's 10!/(7! 3!), or 120.

The formula is (total amount to choose from )! divided by (amount you choose)!(amount you don't choose)!

Or search up combination formula

A combination is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

The formula for combination.

= [tex]^nC_r[/tex]

= n! / r! (n -r)!

The number of possible 7-toppings for the pizza is 120.

What is a combination?

A combination is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

We have,

The total number of toppings = 10.

n = 10

The number of required toppings = 7.

r = 7

The formula for combination.

= [tex]^nC_r[/tex]

= n! / r! (n -r)!

The possible number of possible 7-toppings pizzas.

= [tex]^{10}C_7[/tex]

= (10 x 9 x 8) / (3 x 2)

= 120

Thus,

n = 10 and r = 7

[tex]^{10}C_7[/tex] = 120

The number of possible 7-toppings for the pizza is 120.

Learn more about combination here:

https://brainly.com/question/14355408

#SPJ2

Find the volume of the prism.
4 m
5 m
19 m

Answers

Answer:

19×5×4=380

answer: 380 m³

L=5mB=4mH=19m

[tex]\boxed{\sf Volume=2(LB+BH+LH)}[/tex]

[tex]\\ \sf\longmapsto Volume=2(5\times 4+4\times 19+5\times 19)[/tex]

[tex]\\ \sf\longmapsto Volume=2(20+76+95)[/tex]

[tex]\\ \sf\longmapsto Volume=2(191)[/tex]

[tex]\\ \sf\longmapsto Volume=382m^3[/tex]

3. In a survey of a community, 55% of the people like to listen to the radio,65% like to watch the television and 35% like to listen to the radio as well as to watch television. (i) Show the above information in a Venn-diagram. (ii) Find the percentage of the people who do not like to listen to the radio as well as to watch televisions ​

Answers

Answer:

Here is the answer

I hope it xa helping u

Find an equation of the circle whose diameter has endpoints , (−6,−1) and (2,3).

Answers

Answer:

first... You think and Conceptualize

A diameter divides a circle into equal halves

We're given the end points of the Diameter.

With this we can fine the Center of the circle.

The End Points are

(-6, -1) and ( 2, 3)

Half-way through the diameter gives the center of the circle

So We'd apply the Mid-Point formula to get the co-ordinate of the center.

X= x₁ + x₂/2 , Y = y₁ + y₂/2

X = -6 + 2/2, Y = -1 + 3/2

X= -2. Y = 1

The Midpoint is (-2, 1)

The Radius would be the distance between the center and a point on the circumference.

We already have 2 points of the circumference (Which are the endpoints of the diameter).

So we can pick any of them arbitrarily.

I'd go with (2,3)

So We'd apply the distance between Points formula to get the magnitude of the radius

(-2,1) (2,3)

D = √(x₁ - x₂)² + (y₁ - y₂)²

D = √(-2-2)² + (1-3)²

D=√(-4)² + (-2)²

D=√20.

Our Radius is √20.

Equation of Circle =

(x-h)² + (y-k)² = r²

Where h and k are the center of the circle(-2,1)

(x-(-2))² + ( y - 1 )²= (√20)²

(x + 2)² + ( y - 1)² = 20

Our Answer

(x + 2)² + (y - 1)² = 20.

This should be it.

Have a great day!

look at the image for the question

Answers

Answer:

117.8

Step-by-step explanation:

surface area = πr²+πrl, where r = radius and l = slant height

so,

πr²+πrl

= π×3²+π×3×9.5

= 75π/2

= 117.8 (rounded to the nearest tenth)

Geometry help I don’t know any of this stuff!!

Answers

Answer:

radius chordsecant linecenterpoints of tangency circumference

A clock rotated from 12 to 6 this is

Answers

Answer:

one half

Step-by-step explanation:

Because the rotation from 12 to 6 is one-half of a complete rotation, it seems reasonable to assume that the hour hand is moving continuously and has therefore moved one-half of the distance between the 2 and the 3. source- ck12.org

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