A triangle has an area of 54 m² and a height of 9 m.

How long is the base of the triangle?

Enter your answer in the box.

Answers

Answer 1

Answer:

base = 3

Step-by-step explanation:

The area of triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The area and height is given, to find the base we can make the following equation:

1/2*b*9 = 54

9b/2 = 54 multiply both sides by 2

9b = 27 divide both sides by 9

b = 3


Related Questions

Which number line shows the solution set for l s/2 +4 l <2

Answers

Step-by-step explanation:

Hopefully this was helpful!

how many feet is the answer?

Answers

Answer:

1023 feet

Step-by-step explanation:

A department store has 950 customers one day, and 82% of customers made a purchase. Of the customers who made a purchase, 528 bought just one item, 186 bought two items, and the remainder bought three or more items. How many customers bought three or more items?

Answers

Answer:

65 bought 3 or more items.

Step-by-step explanation:

See attached summary.  The total purchasing customers was 779 (0.82*950).  Use the percentages to calculate calculate the numbers of customers who purchased one and two items (528 and 186).  Add those and subtract from the total number of customers who purchased anything (779) , to arrive at the number who bought three or more items.  65 bought three or more items.

If you deposit $3,000 in a savings account that earns simple interest at a rate of 2.5% a year, how much interest would you have after 4 years?

Answers

Answer:  300 dollars

Work Shown:

i = P*r*t

i = 3000*0.025*4

i = 300


At a local pizza shop 2 pizzas will serve 6 people.
How many people will 8 pizzas serve?

Answers

2pizza serves 6 people
1pizza serves 6/2 people
8pizza serves 6/2*8
=24people
8pizza serves 24 people

Which graph represents an exponential function?

Answers

Answer:

the linear graph man

please why ask ezzy questions

Write the percent as a decimal.

78% =

Answers

Answer:

0.78

Step-by-step explanation:

78 / 100

note that 100% = 1

An angle measure 29•, what is the measure of it compliments

Answers

Answer:

The complement of 29° is the angle that when added to 29° forms a right angle (90° ).

Step-by-step explanation:

Hope this helps you!

Question 2
5 pts
You deposit $5000 in an account earning 7% interest compounded
monthly. How much will you have in the account in 10 years?
5 nts

Answers

[tex]s = 5000(1.07) {}^{t} [/tex]

[tex]s = 5000(1.07) {}^{10} [/tex]

[tex]s = 5000(1.96715)[/tex]

[tex]s = 9835.756 \: dollars[/tex]

Select the equation for a graph that is the set of all points in the plane that are equidistant from the point F(0, −8) and line y = 8.

Answers

Answer:

-1/32 × x

Step-by-step explanation:

let's define and identify the correct markers of the correct parabola.

so, we have the focus point F (0, -8).

we have the directrix y = 8.

that means the the vertex point (the middle between the focus and the directrix) is (0, 0).

a parabola is turning away from the directrix. the vertex here is below the directrix, so the parabola is opening downwards and has therefore a negative factor of x.

so, we can rule out the 2 positive answer options.

to decide between the other 2, let's use a value of x and see, if the point is equidistant to the focus and the directrix.

e.g. x = 1

so,

y = -1/8 × x²

gives us y = -1/8 for x = 1

that means the point is (1, -1/8).

the distance to the focus (0, -8) is

(1 - 0)² + (-1/8 - - 8)² = 1 + (7 7/8)² = 1 + (63/8)² =

= 64/64 + 3969/64 = 4033/64

the distance to the directrix is the distance to the point (1, 8) as the point on the directrix must have the same x value.

so, the distance (1, -1/8) to (1, 8) is

(1 - 1)² + (-1/8 - 8)² = 0 + (-65/8)² = 4225/64

that is not equal to the distance to the focus.

so, let's try

y = -1/32 × x

the point for x = 1 is (1, -1/32)

distance to focus

(1, -1/32) to (0, -8) = (1-0)² + (-1/32 - -8)² = 1 + (255/32)² =

= 1024/1024 + 65025/1024 = 66049/1024

distance to directrix

(1, -1/32) to (1, 8) = (1-1)² + (-257/32)² = 66049/1024

which is the same distance as to the focus.

so, y = -1/32 × x is the right answer.

FYI - for an actual distance I would have to create the square roots of the numbers used here.

but since we only needed to see, if distances are equal or not, it was sufficient to check if the squares of the distances are equal or not.

Which expression is three less than the product of a number and two,increased by five

Answers

Answer:

(2x+5)-3

Step-by-step explanation:

tickets originally worth p dollars were discounted by 28%. which expression represents the discounted price of the tickets?

Answers

Answer:

.72p

Step-by-step explanation:

1p equals the original price

100 percent of p

we are reducing it by 28 percent, which means only 72 percent of p will remain

72 percent or .72

.72p

The dosage for a painkiller is 0.05 mg per kilogram of a patient's body mass. How much of the drug should be administered to a patient who is 50 kg?
A 50-kg patient would be given mg of painkiller?

Answers

Answer:

0.05 mg for 1 kg, so multiply 0.05 by 50, since the patient is 50 kg, and you get 2.5 mg.

Answer:

2.5 mg

Step-by-step explanation:

.05 mg / kg    *   50 kg = 2.5 mg

Find all the factors of 18.
A) 2, 9
B) 1, 2, 3, 6, 9, 18
C) 1, 2, 3, 4, 6, 8, 9, 18

Answers

Answer:

B)1, 2, 3, 6, 9, 18

Step-by-step explanation:

1×18

2×9

3×6

HOPE IT HELPS YOU

Darya is a real estate broker with a house listing. She estimates that this listing will cost her ​$2300 for various expenses. If Darya sells the house within 6​ months, she will receive a commission of ​$20,000. If it takes longer than 6​ months, the listing will​ expire, and​ she'll lose the ​$2300 she spent on expenses. She estimates the probability that​ she'll sell the house within 6 months is 80%. Determine​ Darya's expectation for this listing.

Answers

Using a discrete distribution, it is found that Darya's expectation for this listing is of $13,700.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

In this problem, considering the situation described in the text, the distribution is given by:

P(X = 17,700) = 0.8.P(X = -2,300) = 0.2.

Hence, her expectation is given by:

E(X) = 0.8 x 17,700 - 0.2 x 2,300 = $13,700.

More can be learned about discrete distributions at https://brainly.com/question/24855677

The difference of two numbers is 8. What two numbers will minimize the product? The numbers are ___ and ____.

Answers

Answer:

-4 and 4

Step-by-step explanation:

Have a good day.

Answer:

answer is -4 and 4 ):(

Step-by-step explanation:

Given P(E or F) = 0.69, P(E) = 0.49, and P(E and F) = 0.06, what is P(F)?

Answers

Answer:

P(F) = 0.26

Step-by-step explanation:

Given:

P(E ∪ F) = 0.69P(E) = 0.49P(E ∩ F) = 0.06

Using formula:   P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

⇒ P(E ∪ F) = P(E) + P(F) - P(E ∩ F)

⇒ 0.69 = 0.49 + P(F) - 0.06

⇒ 0.69 = 0.43 + P(F)

⇒ P(F) = 0.69 - 0.43

⇒ P(F) = 0.26


Find the range, mean, and standard deviation of the data set
{8, 9, 8, 4, 4, 7, 18, 14}
The range is

(Type a whole number.)

The mean is

(Type an integer or a decimal.)

The standard deviation is

(Round the final answer to two decimal places as needed Round all intermediate values to three decimal places as needed.)

Answers

Answer:

mean: 8

medium:7

min: 4

max: 18

hope that helps

PLSS HELP ME

12/12 + 12/12 + 7/12=_____

Answers

2 7/12

This is because 12/12 is equal to 1/1 or 1. So 12/12 + 12/12 = 2.

2 + 7/12= 2 7/12

Answer:

31

-----

12

Step-by-step explanation:

12         12           7         31

----  +  -------  +  -----  =  -------

12         12          12         12

Add the numerators together (top number) and keep the denominator the same (bottom number)

I hope this helps!

Evaluate 3x2−9
when x=−2

Answers

Answer:

3

Step-by-step explanation:

substitute x = - 2 into the expression

3x² - 9

= 3(- 2)² - 9

= 3(4) - 9

= 12 - 9

= 3

-5x+y=-10 and -4x-y=-26

Answers

Answer:

[tex]\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.[/tex]

Step-by-step explanation:Solve the equation

[tex]\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.[/tex]

_____________________________________

Add the two equations

[tex]-5x+y+(-4x-y)=-10+(-26)[/tex]

____________________________

Remove parentheses

[tex]-5x+y-4x-y=-10-26[/tex]

_________________________________________________

Cancel one variable

[tex]-5x-4x=-10-26[/tex]

___________________________________________

Combine like terms

[tex]-9x=-10-26[/tex]

______________________________________________

Calculate the sum or difference

[tex]-9x=-36[/tex]

________________________________________________

Divide both sides of the equation by the coefficient of variable

[tex]x=\frac{-36}{-9}[/tex]

____________________________________________________

Determine the sign for multiplication or division

[tex]x=\frac{36}{9}[/tex]

_________________________________________

Cross out the common factor

[tex]x=4[/tex]

_____________________________________________Step-by-step explanation:Substitute into one of the equations

[tex]-4\times4-y=-26[/tex]

____________________________________________________

Calculate the product or quotient

[tex]-16-y=-26[/tex]

______________________________________________________

Rearrange variables to the left side of the equation

[tex]-y=-26+16[/tex]

_____________________________________________

Calculate the sum or difference

[tex]-y=-10[/tex]

_________________________________________-

Divide both sides of the equation by the coefficient of variable

[tex]y=10[/tex]

I hope this helps you

:)

Please solve with explanation high points

Answers

Answer:

a. -2x^2 + 3x+5=y

b.-x^2 +5x-4=y

c.-x^2 +6x-12=y

Step-by-step explanation:

a.y=-2x^2 +bx+c

the points P and Q lie on curve

[tex]\left \{ {{-b+c=2} \atop {b+c=8}} \right.[/tex]

=> b=3, c=5

b. delta = b^2 +4c

x1= [tex]\frac{-b+\sqrt{b^{2}+4c } }{-2}[/tex] =4

=> [tex]b-\sqrt{4c+b^{2} }[/tex]=8

x2=[tex]\frac{-b-\sqrt{b^{2}+4c } }{-2}[/tex]=1

=>2=b+[tex]\sqrt{b^{2}+4c }[/tex]

suppose : [tex]\sqrt{b^{2}+4c }[/tex] = a

=> [tex]\left \{ {{a+b=2} \atop {-a+b=8}} \right.[/tex]

=> a=-3

b=5

a=-3 =>  [tex]\sqrt{b^{2}+4c }[/tex] =-3 => b^2 +4c =9 =>5^2 +4c=9 => c=-4.

c.vertex (3;-3)

[tex]\frac{-b}{-2}[/tex]=3 => b =6

[tex]\frac{-D}{4a}[/tex]=[tex]\frac{-b^{2}+4ac}{-4}[/tex] =-3 =>-b^2+4ac=12 => c=-12.

what is the answer to -2-(-2)

Answers

Answer:

0

Step-by-step explanation:

-2 + 2 = 0

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

How do you know what units to use for Tamara to feed her cats

Answers

The units use for Tamara's cats is an illustration of metric units

Tamara's unit of feeding her cats is cups

How to determine the unit of measurement?

From the complete question, the amount of feed Tamara gives her cat to be:

Amount = 1/8 cups

This means that the unit of feed Tamara used is cups

Hence, Tamara's unit of feeding her cats is cups

Read more about metric units at:

https://brainly.com/question/2555957

Need help with his geometry question. Find the value of x

Answers

Hey there!

Answer: [tex] \Rightarrow \boxed{\sf{x = 25}}[/tex]

[tex] \rightarrow \sf{ \frac{x}{20} = \frac{30}{24} }[/tex]

[tex] \rightarrow \: \boxed{ \sf{24x = 600}}[/tex]

[tex] \rightarrow \: \boxed{ \sf{ \frac{24x}{24} = \frac{600}{24}}} [/tex]

[tex] \rightarrow \boxed{ \bold{\sf{ x = 25}}}[/tex]

Hopes this helps

7. Which statement proves that a quadrilateral is a rhombus? A There is no line of symmetry B. All four sides are congruent C. The diagonals bisect each other D. The diagonals are perpendicular​

Answers

Answer:

B. All four sides are congruent

Step-by-step explanation:

To prove a quadrilateral is equal, prove the four sides to be equalAs the defining feature of a rhombus is that it has 4 equal sides

100 points and Brainliest for whoever answers this question correctly first.

No, this is not a test.
Yes, I would appreciate the quickest answer possible.

Answers

Answer:

[tex]\dfrac{1}{102}[/tex]

Step-by-step explanation:

Average rate of change of function [tex]f(x)[/tex] over the interval [tex]a \leq x \leq b[/tex] is:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

Given function:

[tex]f(x)=\dfrac{2x-2}{5x-6}[/tex]

Given interval [tex]0\leq x\leq 8[/tex] :

when [tex]x=0[/tex]:

[tex]f(0)=\dfrac{2(0)-2}{5(0)-6}=\dfrac13[/tex]

when [tex]x=8[/tex]:

[tex]f(8)=\dfrac{2(8)-2}{5(8)-6}=\dfrac{7}{17}[/tex]

Therefore, average rate of change:

[tex]\dfrac{f(8)-f(0)}{8-0}=\dfrac{\frac{7}{17}-\frac13}{8}=\dfrac{1}{102}[/tex]

what is the equation of the following graph?

Answers

Answer:

Step-by-step explanation:

When figuring out the graph of a sinusoidal, I keep in mind the acronym FPARHM:

F - function (sine or cosine)

P - period

A - amplitude

R - reflections

H - horizontal/phase shift

M - midline

Looking at the graph, we can figure out that the function is sine (since it intersects the origin at its midpoint, the period is [tex]\pi[/tex] (because it repeats every [tex]/pi[/tex] units in the x-direction, the amplitude is 2 (because the graph's extreme points are 2 units away from the midline in the y-direction, there are no reflections, no horizontal/phase shift, and the midline is [tex]y=0[/tex] (since the graph isn't shifted up or down in the y-direction.

Finally, knowing all these parts, we can piece together the equation of the sinusoidal graph. In general, the equations of sinusoidal graphs are in the form [tex]y=a\sin(bx+c)+d[/tex] where [tex]|a|[/tex] is the amplitude, [tex] \frac{2\pi}{|b|}[/tex] is the period, [tex] \frac{c}{b}[/tex] is the horizontal shift, and [tex]d[/tex] is the midline. Additionally, if [tex]a[/tex] is negative, the graph needs to be reflected over the x-axis and if [tex]b[/tex] is negative, the graph needs to be reflected over the y-axis. Knowing this, all we need to do is plug in the amplitude, period, phase shift, and midline to the equation. The equation is [tex]y=2\sin(2x)[/tex]

Hope this helps :)

f(1)=15
f(n)=f(n-1)·n
f(2)=?

Answers

Answer:

is f(2)=13 this is the answer because You have to división ir multiplicar ir

Answer:

f(2)=30

Step-by-step explanation:

Khan <3

Test question, are you able to hold yourself from adding an answer?

Answers

yes you are able to hold yourself from adding an answer
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