Answer:
15.59.
Step-by-step explanation:
The altitude of equilateral triangle bisects the base
So 1/2 base = 3.
Altitude of the triangle is found from Pythagoras theorem:
= sqrt(6^2 - 3^2)
= sqrt27
Area = 1/2 base * altitude
= 3 * sqrt27
= 15.59
Brandon mows his lawn once every 5 days. Thomas mows his lawn once every 3 days. If they are all mowing the lawn today, in how many days will they be mowing their lawns together again?
A. 3
B. 5
C. 8
D. 15
Answer:
D. 15
Step-by-step explanation:
Day Thomas Brandon
1 T B
2
3
4 T
5
6 B
7 T
8
9
10 T
11 B
12
13 T
14
15
16 T B
17
18
19 T
20
21 B
The next time they both mow their lawns on the same day is on day 16, which is 15 days from today.
Answer: D. 15
Write the expression in fewer terms: 3•15+4•15-5•15
Answer:
The answer is 3525
Answer:
By fewer terms, I assume it means you can reduce each multiplication of 2 terms down to 1. Therefore I would say:
45+60-75.
otherwise, maybe it means give the full 1 answer of:
30.
I used PEMDAS. You simplify the multiplication terms first, then you do the addition and subtraction.
what is 5/6 x 3/5 simplified ??
Answer:
1/2 or 0.5 is the correct answer of this question
Which of these numbers lines is the X-axis?
Answer:
the one going this way -------------------------- not up and down
Step-by-step explanation:
Answer:
Step-by-step explanation:
the one on the right
5. There are three different colored M&Ms
red, green, and white. The probability of
selecting a red M&M is 2/5 and the probability
of selecting a green M&M is 1/4 so what is the
probability of selecting a white M&M?
The total number of red m&m out of all m&m is 2/5.
The total number of green m&m out of all m&m is 1/4.
if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m!
2/5 + 1/4 = ?
Common denominator. We will choose 20, since it is the lowest common multiple! (this means that 20/20 is the total number of all m&m, by the way. )
[tex]\frac{2(4)}{5(4)}[/tex] + [tex]\frac{1(5)}{4(5)}[/tex] = 8/20 + 5/20 = a
20/20 - a = ?
ANSWER: 7/20
The probability of selecting a white-colored M&M is 7/20.
The total number of red m&m out of all m&m is 2/5.
The total number of green m&m out of all m&m is 1/4.
if we add up 2/5 and 1/4, we can use that information to subtract from the total number of m&m to find the rest of m&m, which would be a total number of white m&m
2/5 + 1/4 = ?
Common denominator. We will choose 20, since it is the lowest common multiple (this means that 20/20 is the total number of all m&m, by the way. )
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
8/10 +5/20 = 8/20 + 5/20 = a
20/20 - a = ?
Therefore the probability of selecting a white M&M is 7/20.
To learn more about probability visit:
https://brainly.com/question/24756209
#SPJ2
What is the answer to: y=-2x-5,4x+3y=15 using substitution to solve it..??
Answer:
Step-by-step explanation:
Plug the first equation into the second
[tex]4x+3(-2x-5)=15\\4x-6x-15=15\\-2x=30\\x=-15[/tex]
y=-2(-15)-5
=30-5
=25
1. Find the factored form of f(x) given it has x-intercepts (-3,0) and (4,0) and f(1)= -6. 2. Find the equation for f(x) given that it has roots of 2 and -3 and f(0)=12. Please someone help
Answer:
1) f(x) = 0.5*(x + 3)*(x - 4)
2) f(x) = -2*x^2 - 2*x + 12
Step-by-step explanation:
Wen we have a quadratic function like:
f(x) = a*x^2 + b*x + c*x
And it has roots at x1 and x2, we can write the function in the factored form as:
f(x) = a*(x - x1)*(x - x2)
then:
1) we have x-intercepts at: (-3, 0) and (4, 0) (then the roots of this function are x = -3 and x =4) and we know that f(1) = -6
we have:
x1 = -3
x2 = 4
then we can write f(x) as:
f(x) = a*(x - (-3))*(x - 4)
f(x) = a*(x + 3)*(x - 4)
Where a is a real number.
and now we can use the fact that f(1) = -6
then:
f(1) = a*(1 + 3)*(1 - 4) = -6
a*4*(-3) = -6
a*-12 = -6
a = -6/-12 = 1/2 = 0.5
Then the function is:
f(x) = 0.5*(x + 3)*(x - 4)
2) Now we have roots x = 2 and x = .3
Then:
x1 = 2
x2 = -3
Then this function is something like:
f(x) = a*(x - 2)*(x - (-3))
f(x) = a*(x - 2)*(x + 3)
Now we know that f(0) = 12.
then:
f(0) = a*(0 - 2)*(0 + 3) = 12
a*(-2)*3 = 12
a*(-6) = 12
a = 12/-6 = -2
f(x) = -2*(x - 2)*(x + 3)
And we do not want this one written in factored form, so we can just distribute the multiplications to et:
f(x) = -2*(x - 2)*(x + 3) = (-2*x + 4)*(x + 3) = -2*x^2 + 4*x - 6*x + 12
f(x) = -2*x^2 - 2*x + 12
0 = 2x2 - 6x + 4
What are the solutions to
Answer:
x = 2, x = 1
Paula opens a bank account that earns 6% interest. Her initial deposit is $400.
How much money does Paula have after 15 years?
Answer:
$461,168.60Step-by-step explanation
Turn the percentage into a decimal Take much much she has in the bankput () around 1+.6y=400(1+.6)^15 and calculate the problem and round to the nearest 100thWhat are two different ways of factoring -3x – 9? Select all that apply. (2 answers)
A. -3(x + 3 )
B. 3(x+3)
C. 3(-x-3)
D. -3(x-3)
What is 5/3+2/4= ????
Answer:
5/3 x 4/4
2/4x 3/3
20+6/12
26/12
Step-by-step explanation:
Answer:
the answer is
5/3+2/4=7/4
At Pete's pizza, the cost of a 1 topping pizza is $17.35 and the cost of a 3 topping pizza is $21.05.
Assuming the cost of a pizza follows a linear model, write an equation that represents C, the cost of any pizza with t,toppings.
Answer:
3
Step-by-step explanation:
17.35 * 3
What is the area of △JKL in square units? KJL is a triangle. The angle J is 94 degree and the angle L is 26 degree. Side JK is 24 and JL is 41.
Answer:
426.07 square units
Step-by-step explanation:
Recall that for a triangle whose angles are A,B,C with corresponding sides a, b, c, the area G of the triangle may be computed as
G = 1/2 ab Sin C
or
G = 1/2 bc Sin A
or
G = 1/2 ac Sin B
Going by this, recall that the sum of angles in a triangle is 180 hence
94 + 26 + K = 180
120 + K = 180
Subtract 120 from both sides
K = 180 - 120
K = 60 degrees
Given that JK = 24 and JL = 41
G = 1/2 * 24 * 41 Sin 60
= 426.07 square units
I need help solving this practice question solve for x
The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum?
Answer:
2√5
Step-by-step explanation:
Using the formula for calculating resultant
R = √Fx + Fy
\sum Fx = -2sin 45 + 4 cos 45
\sum Fx = 2cos45
\sum Fx = 2(1/√2)
\sum Fx = 2/√2
Similarly;
\sum Fy = 2 cos 45 + 4 sin45
\sum Fx = 2(1/√2) + 4(1/√2)
\sum Fx = 6/√2
Magnitude = √(2/√2)²+6/√2)²
Magnitude = √4/2 + 36/2
Magnitude = √2+18
Magnitude = √20
Magnitude = 2√5
Hence the magnitude of their sum is 2√5
Answer:
2√5
Step-by-step explanation:
Subtract the cube root of the product of x and 3y from the square of the sum of a and b.
Answer:
a^2 + b^2 + 2ab - (3xy)^1/3
Step-by-step explanation:
Here we want to make a subtraction
Cube root of the product of x and 3y
x * 3y = 3xy
Cube root of this;
(3xy)^1/3
The sum of a and b is (a + b)
Square of this sum;
(a + b)^2 = a^2 + 2ab + b^2
Now, subtract the cube root
we have;
a^2 + b^2 + 2ab - (3xy)^1/3
which statement are correct for evaluting this expression
A rectangle has a width of 8 units and a
length of 10 units. What is the length of the
diagonal of this rectangle
Answer:
12.8 units
Step-by-step explanation:
Adding a diagonal makes it into 2 of the same right-angled triangles.
In right angled triangles, you can use Pythagoras' therorem which says that a^2+b^2=c^2 where a and b are the shorter sides and c is the diagonal.
This means that 8^2+10^2=diagonal^2=64+100=164
The diagonal is then the square root of 164 which equals 12.806248...
One angle of an isosceles triangle measures 26°. Which other angles could be in that isosceles triangle?
Answer:
There are two answers, either of which would work
26°, 26° and 128°26°, 77° and 77°Method:
An isosceles triangle has 2 of the same sides so there are two possible answers:
1) 26° is one of the angles which is the same as another. 26° × 2 = 52° and since there are 180° in a triangle the other angle is 180° - 52° which is 128°. This would make the angles 26°, 26° and 128°
2) 26° is not one of the angles which is the same as another. Since there are 180° in a triangle, the other angles would both be 2 ÷ (180° - 26°) which is 77°. This would make the angless 26°, 77° and 77°
New York and Chicago are 4 inches apart on a map if the scale on a map is 1/2 inch equal 100 miles how many miles is it from New York to Chicago
The equation for line j can be written as y = x + 9. Line k includes the point (6, 10) and
is perpendicular to line j. What is the equation of line k?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.
Answer:
use formula
Step-by-step explanation:
equate them and then u will see ur answer
two step equation -9 + 2x = .-31
Answer:
Step-by-step explanation:
Add 9 to both sides
2x = -22
Divide both sides by 2
x = -11
someone please help me
Answer:
104 I think
Step-by-step explanation:
8 x 14 divided by 2 is 56 so 6 x 8 = 48 and 48 + 56 = 104
Answer:
The volume of this triangular prism is equal to 336 [tex]feet^{3}[/tex]
Step-by-step explanation:
In order to solve this question, we need to know that the volume of a triangular prisim is equal to the area of the triangular base time the distance between the two triangular bases. And so we get...
[tex]V = (\frac{bh}{2})(d) = (\frac{(8)(14)}{2})(6) = (56)(6) = 336[/tex]
Therefore the area of this triangular prism is equal to 336 [tex]feet^{3}[/tex]
Pleaseee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answer:
8y+2x+2w
Step-by-step explanation:
Answer:
I have literally no idea. Very sorry!
2(x+3)=x-4
help please
Answer:
Step-by-step explanation:
Distribute
2x+6 = x-4
Subtract 6 on both sides
2x = x-10
Subtract x on both sides
x = -10
2(x+3)=x-4 perform indicated multiplication on left side
2x+6=x-4 subtract d from both sides
x+6=-4 subtract 6 from both sides
x=-10
Factorize the following to answer the code below. Letters may be used more than once.
Q3. Find remainder if x 3 – 3x 2 + 4x – 14 is divisible by x + 2.
Q4. Factorize x 3 – x 2 – 22x + 40
Answer:
3.-42
Step-by-step explanation:
3.
x+2=0,x=-2
f(-2)=(-2)³-3(-2)²+4(-2)-14=-8-12-8-14=-42
4.
x³-x²-22x+40
put x=2
2³-2²-22(2)+40
=8-4-44+40
=48-48
=0
x=2
so x-2 is one factor.
by synthetic division.
2 | 1 -1 -22 40
| 2 2 -40
_____________
1 1 -20 | 0
x²+x-20=0
x²+5x-4x-20
=x(x+5)-4(x+5)
=(x+5)(x-4)
x³-x²-22x+40=(x+5)(x-2)(x-4)
PLS HELP I REALLY NEED IT RNNNNNN 20 POINTSSS
Which function matches the mapping shown?
A) f(x) = 2x
B) f(x) = 4x
C) f(x) = x4
D) f(x) = x + 4
Answer:
B.f(x)=4x
Step-by-step explanation:
Multiply x value by 4
Fabian harvest 10 pounds of tomatoes from his garden he needs two and 2/5 lb to make a batch of soup if he sets aside 2 and 8/10 lb of tomatoes to make spaghetti sauce how many batches of soup can Fabian make.
4.-2+ (-8)
I was wondering what’s the answer
Answer:
-10
Step-by-step explanation:
Answer:
4.−10..?
Step-by-step explanation:
Use Cymath.com for your math equations so you don't have to waste points on here!
In which set of ordered pairs Is y NOT a function of X? A
{(1, 3), (2, 3), (3, 3), (4,3)}
B) {(1,3), (-2,5),(-2,7),(3,5)}
C){(7,2), (2,5), (0,4), (1,5)
D) {(-1,5), (2,6), (4,8), (9,4)}
Answer:
b
Step-by-step explanation:
for every x, there must be exactly one y for it to be a function. so, if there is more than one x per y, it's not a function.
in b, -2 (x) has two different y's which are 5 and 7, making it not a function.