Step-by-step explanation:
baseline = 2×height.
area = baseline × height / 2 = 9 ft².
so, we can use the identity of the first equation and put it into the second equation :
9 = 2×height × height / 2 = height²
height = 3 ft.
baseline = 2×height = 2×3 = 6 ft.
The base of the triangle is 6 feet.
Let, the base of the triangle as "b" feet and the height as "h" feet.
Given that the area of the triangle is 9 square feet, we can use the formula for the area of a triangle:
Area = 0.5 * base * height
Plugging in the given values, we have:
9 = 0.5 * b * h
Since we're also given that the base is 2 times the height, we can write:
b = 2h
Now we have a system of two equations with two unknowns:
9 = 0.5 * b * h
b = 2h
We can substitute the value of "b" from the second equation into the first equation:
9 = 0.5 * (2h) * h
Simplify the equation:
9 = h²
Now, solve for "h" by taking the square root of both sides:
h = √9
h = 3
Now that we know the height "h" is 3 feet, we can find the base "b" using the second equation:
b = 2h
b = 2 * 3
b = 6
Therefore, the base of the triangle is 6 feet.
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5x + 3y - 15 + x
PLS HELP ASAP FAST
Answer:
6x+3y-15
Step-by-step explanation:
take the x's add them up. take the y put it after the answer of the x's then subtract the y. (im just waffling)
So I was wondering how to do this, 15-[tex]\sqrt{x+2}[/tex] what value of x does the expression make sense
Answer:
Step-by-step explanation:
The question makes sense for all values of x, but I imagine that is not exactly what you mean.
I think you mean for what values of x does the question produce a real square root?
The answer is as long as x + 2 does not drop below 0, the results will be real.
Put mathematically x ≥ -2 gives a real result. For now just don't try and take the square root of a minus number.
Answer:
x >= -2
Step-by-step explanation:
For real numbers (like, for graphing or applications) the number inside the square root symbol must be a positive number. So, if x is -3, -4, -5 you will get a negative number inside the square root. If x is -2, you get a zero, which is fine(allowed, no problem) If x is -1, you get a 1 inside there, which is no problem. Any positive number for x yields a positive number inside the square root.
So x must be greater than -2.
Saying what x is or can be is what is "the domain"
Domain: {x | x >= -2}
This is set notation.
Interval notation looks like this:
[-2, infinitysymbol)
Simply, x >= -2
2.
A recipe calls for 2
c. of flour for every
16 lbs of fruit.
What is the ratio
of four to fruit in
simplest form?
Answer:
1:8
Step-by-step explanation:
well, you're starting with the ratio 2:16, if you divide that by 2 (simplest form) you get 1:8
Can someone help me with this math question? I'll give brainly!
1. Is (0,9) a solution?
y = -3x + 5
Answer:
no
Step-by-step explanation:
to determine if (0, 9 ) is a solution substitute x = 0 into the equation and if the result is 9 then it is a solution
y = - 3(0) + 5 = 0 + 5 = 5 ≠ 9
then (0, 9 ) is not a solution to the equation
pls help its geometry
The answer is AA (Angle-Angle) because when two triangles have two congruent angles, both the triangles are congruent.
I hope this helps
2 4/5 x 1/3 =
1 1/4 x 1/5 =
Answer:
[tex]\frac{14}{15}[/tex]
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Given the following equations:
[tex]2\frac{4}{5} \times\frac{1}{3}[/tex]
[tex]1\frac{1}{4} \times\frac{1}{5}[/tex]
In order to solve the following equations, we convert the mixed numbers into improper fractions and then solve by multiplying the numerators and the denominators by each other.
[tex]2\frac{4}{5} \times\frac{1}{3}[/tex]
[tex]2\frac{4}{5} =5\times2=10+4=\frac{14}{5}[/tex]
[tex]\frac{14}{5} \times\frac{1}{3}[/tex]
[tex]14\times1=14[/tex]
[tex]5\times3=15[/tex]
[tex]=\frac{14}{15}[/tex]
[tex]1\frac{1}{4} \times\frac{1}{5}[/tex]
[tex]1\frac{1}{4} =1\times4=4+1=\frac{5}{4}[/tex]
[tex]\frac{5}{4} \times\frac{1}{5}[/tex]
[tex]5\times1=5[/tex]
[tex]4\times5=20[/tex]
[tex]\frac{5}{20} \div5=\frac{1}{4}[/tex]
[tex]=\frac{1}{4}[/tex]
Hope this helps.
what is the best way to do fractions
use the internet it help you alot
Steven received scores of 70, 95, and 80 on his last three math tests. He needs a mean test score of 80 to qualify for the math team. What is the answer?
Answer:
81.7
Step-by-step explanation:
I did the math.
Good luck (:
Answer:
Steven needs a total score of 320 to have a mean of 80 and Steven has obtained 245 so far. So, he needs atleast 75 more to qualify for the maths team.
PLEASE ANSWER ACCURATELY! TYSM!
In the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. Which statements are true about the inputs and outputs? Select all that apply(2,4), (6,3), (5,4), (7,3), (8,2)
A. There is only one output for every input
B. There is only one input for every output
C. There is more than one output for some inputs
D. There is more than one input for some outputs
Answer:
C
Step-by-step explanation:
If you look at your y value which would be your Output you can see the number 4 repeated multiple times
Therefore leading up to the answer that there is more than what output.
The input is the number you feed into the expression, and the output is what you get after the look-up work or calculations are finished.
Hope this helps :)
Given that a travel a distance of 210km in 3hours calculate the speed in unit form in km/h
Answer:
70 Km/ h
Step-by-step explanation:
speed = [tex]\frac{distance }{time}[/tex] = [tex]\frac{210}{3}[/tex] = 70 Km/h
a hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there
Answer:
2,598,960
Step-by-step explanation:
It is a combination because order doesn't matter. You wouldn't want to call A-K-Q-J-10 of hearts a different combination than 10-J-Q-K-A.
52 C 5 = 2,598,960
`whats 1+1=? and why does it equal that?
Answer: 1 + 1 = 2
Step-by-step explanation:because that's how we've defined it, in the same way that the word "cat" refers to small, furry, feline creatures because that's how we've defined it.
Answer:
1 + 1 = 11! :D No, just kidding 1 + 1 = 2
Step-by-step explanation:
1 + 1 = 2. You're taking 2 numbers (1) worth 1 value and adding them together to make the number 2.
I dont know how to explain but I hope this cures your curiosity-
Solve the given equation.64^-x/3=1024
hi there the anser is 4
A meteor moving 475 km per minute traveling in a south-to-north direction passed near Earth
in 2013. Because the meteor was only 45 m wide and was 27,700 km above Earth's surface,
it was not visible without the aid of a telescope.
A)
Its velocity was 475 km/second southward
B)
Its acceleration was 475 km/second2.
09
Its velocity was 475 km/ minute northward
D)
Its acceleration was 7.8 km/second2.
Answer:
C. its velocity was 475 km/ minute northward.
Step-by-step explanation:
Its velocity was 475 km/ minute northward. Then the correct option is C.
What is a vector?The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.
A meteor moving 475 km per minute traveling in a south-to-north direction passed near Earth in 2013. Because the meteor was only 45 m wide and was 27,700 km above Earth's surface, it was not visible without the aid of a telescope.
The velocity is the vector quantity. So, the direction in the space will not change.
Its velocity was 475 km/ minute northward. Then the correct option is C.
More about the vector link is given below.
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Y=2x
6x+3y=-12
What is the answer and how did you get the answer? Write the answer and show the process of how you got that answer.
Step-by-step explanation:
By substitution method
6x+3(2x)=12
6x+6x =12
12x=12
x=1
y=2x
y=2*1
y=2
car buyer bought a used car for $20,250. The car depreciates by 11% per year. The following equation describes the value of the car, where y represents the number of years since the car was purchased. v ( y ) = 20 , 250 ( 1 − 0.11 ) y Which equation is equivalent and can be used to determine the value of the car 6 months after it was purchased? v ( y ) = 20 , 250 ( 0.89 ) 6 v ( y ) = 20 , 250 ( 0.89 ) 6 v ( y ) = 20 , 250 ( 0.89 1 12 ) 6 v ( y ) = 20 , 250 ( 0.89 1 12 ) 6 v ( y ) = 20 , 250 ( 0.89 ) 1 12 ( 0.89 ) 6 v ( y ) = 20 , 250 ( 0.89 ) 1 12 ( 0.89 ) 6 v ( y ) = 20 , 250 ( 0.89 ) 6 ( 0.89 ) 6
The equation that can be used to determine the value of the car after 6 months is v(y) = 20,250(0.89)^6/12
What is deprecation?
Depreciation is the rate of decrease in value of an asset. When an asset depreciates, it declines in value with the passage of time.
What equation represents the value of the car after 6 months?The formula that can be used to represent depreciation is:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of yearsv(y) = 20,250(1 - 0.11)^t
v(y) = 20,250(0.89)^6/12
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how to do this i need help
Answer: Do not take it
Step-by-step explanation:
Because 9 times eight is 72 and half of that is 36 so you if you take it you would make 108 but if you do not take the deal you will make 137
Answer:
the answer is No
Step-by-step explanation:
what is 15 meters decreased by 60%
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{60\% of 15}}{\left( \cfrac{60}{100} \right)15}\implies 9~\hspace{7em} \stackrel{15-9}{6}[/tex]
Answer:
-9
Step-by-step explanation:
A dog kennel charges $40 to board a dog for one night and $35 per night for each night after that. Henry paid a total of $215 for dog boarding.
For how many nights did Henry board his dog?
Answer:
5 nights.
Step-by-step explanation:
215=35x+40
What is the value of a in the equation below?
3 1/2a - 16 = 3a – 10
a =
Answer:
[tex] \frac{3}{2} a - 16 = 3a - 10 \\ \frac{3}{2} a - 3a = 16 - 10 \\ - \frac{ 3a}{2} = 6 \\ a = - 4[/tex]
A vending machine randomly dispenses gumballs of three flavors: orange, grape, and cherry. If the machine currently contains 20 orange, 12 grape, and 7 cherry gumballs, what is the least number of gumballs the machine must dispense in order to ensure that three orange gumballs have been dispensed
Answer:
22
Step-by-step explanation:
Find the worst case scenario.
Worst case:
12 grape gumballs, 7 cherry gumballs, and 3 orange gumballs.
12 + 7 + 3 = 22
The answer is 22 gumballs.
Hope this helps :)
Have a great day!
Please help me ANYONE ANYBODY I NEED HELP NOW
Answer:
1. Dots
2.Blank
3. Stripes
4. Stars
Step-by-step explanation:
Well the total is 30 and we just have to see the fraction of each time in landed on a specific part of the spinner. So first the probability of landing on dots is 6/30 = 1/5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Then the experimental probability of getting a blank is 8/30 = 4/15
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Continuing in the same manner getting stripes would have a chance of 12/30 which is 2/5
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
And lastly landing on a star would be 4/30 = 2/15
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
(*Remember* Experimental Probability is the same as normal probability)
If you don't understand why everything is out of 30, you might want to watch some videos online about basic probability just to get an understanding if it :)
I hope this helped! I'm sorry I didn't get this to you 4 hours ago but to be fair I was studying at that time ^_^
PLS HELP WILL MARK AS BRAINLIST
(-3, 6)
(-5, 3)
(-1,3)
(-3,0)
Translated 3 units down 6 units right
Answer:
(3,3)
(1,0)
(5,0)
(6,-3)
Step-by-step explanation:
+6 to the x's and -3 to the y's
Write a graph an inequality to match each situation: The fish weighed at least 15 pounds
Any0ne b0red?
What is the slope of the line that passes through the points (8, -6) and (5,−1)? Write your answer in simplest form.
Answer:
-5/3
Step-by-step explanation:
To find the slope of the two points, use the formula: Y2-Y1/X2-X1
-1 is Y2, -6 is Y1, so that will be our numerator in this equation
5 is X2, 8 is X1, so that will be our denominator in this equation
So our equation becomes, -1+6/5-8 (Two negative signs create a positive so instead of -6 it becomes +6)
When we solve this, we get 5/-3
So our slope is -5/3
Hope this helps!
The slope of the line that passes through the points (8, -6) and (5,−1) is -5/3.
We have given that,
The slope of the line that passes through the points (8, -6) and (5,−1).
To determine the slope of the given points.
To find the slope of the two points,
What is the formula for the slope?use the formula: Y2-Y1/X2-X1
(8, -6)
Therefore, -1 is Y2, -6 is Y1,
So that will be our numerator in this equation
(5,−1)
5 is X2, 8 is X1, so that will be our denominator in this equation
So our equation becomes, -1+6/5-8 (Two negative signs create a positive so instead of -6 it becomes +6)
When we solve this, we get 5/-3
So our slope is -5/3.
Therefore the slope of the given point is -5/3.
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-
Factor Completely : 6w2 – 66w – 72
Answer:
6w*6w-66*w-72
Hope This Helps!!!
Answer:
6(w - 12)(w + 1)
Step-by-step explanation:
6w² - 66w - 72 ← factor out 6 from each term
= 6(w² - 11w - 12) ← factor the quadratic
Consider the factors of the constant term (- 72) which sum to give the coefficient of the w- term (- 11)
The factors are - 12 and + 1 , since
- 12 × 1 = - 12 and - 12 + 1 = - 11 , then
w² - 11w - 12 = (w - 12)(w + 1) , so
6w² - 66w - 72 = 6(w - 12)(w + 1) ← in factored form
What is 6[cos(70°) i sin(70°)] ÷ 2[cos(5°) i sin(5°)]? 3[cos(75°) i sin(75°)] 4[cos(75°) i sin(75°)] 3[cos(65°) i sin(65°)] 4[cos(65°) i sin(65°)].
Step-by-step explanation:
If we have
[tex] \frac{r( \cos(x) + i \sin(x) }{s( \cos(v) + i \: sin(w)} = \frac{r}{s} ( \cos(x - v) + i \: sin(x - w)[/tex]
So first we know the modulus is 6 and 2 for the second one so we get
[tex] \frac{6}{2} = 3[/tex]
First degree is 70 , and second is 5 so our degree will be 65 in the second because
70-5=65
Our answer is
[tex]3( \cos(65) + i \: \sin(65) )[/tex]
Answer:c.
Step-by-step explanation:
What is 12÷1935.6 ? i’m so confused and I need help with the steps
Answer:
161.3000
Step-by-step explanation:
1) Copybooks cost thirty-five cents each. How much would three copybooks cost?
2) What is twenty percent of twenty eight euros?
3) Sam bought a pen for one euro seventy-five cents. How much change did he receive from a five euro note?
Answer:
1) 1.05
2) 5.6 Euros
3) 4.25
Step-by-step explanation:
For answer one just times the amount of copy books by 0.35 which is 1.05
0.35x3=1.05
For answer two just divide the amount of 28 euros by thinking of it as change and see how much is left for example 30% of 15 euros is 4.5
For answer three just subtract the amount of cost by 5 euros
