Answer:
3.6 miles
Step-by-step explanation:
a²+b²=c²
a and b are triangle legs, and for this question it doesn't really matter which you identify as a or b. We are looking for c, or the distance apart from each other.
3²+2²=c²
= 9+4=c²
= 9+4= 13
= c² = 13
Now we are looking for the square root of 13
√13 = 3.605...
This rounded to the nearest tenth is 3.6
The answer is 3.6 miles.
Hope this helped and made it a bit easier to understand - sorry if the text format is a little messy.
Josh and Ben are 3.6 miles apart from each other.
The distance covered by Josh north, distance covered by Ben east and the distance between the two boys forms a right angled triangle.
Let x represent the distance between the two boys.
Using Pythagoras theorem:
x² = 3² + 2²
x² = 9 + 4
x² = 13
x = 3.6 miles
Therefore both Josh and Ben are 3.6 miles apart from each other.
Find out more at: https://brainly.com/question/9761076
You roll a 6-sided number cube with faces numbered 1-6. What is (P)5?
Answer:
1/6
Step-by-step explanation:
Find the area of the triangle.
A right triangle has a base of 7 meters and a height of 6 meters.
7 m 6m
Answer:
7 x 6 = 42, 42 divided by 2 (x 1/2) = 21 meters
Step-by-step explanation:
Formula of area of a triangle:
BH x 1/2
base x height x 1/2(basically just dividing by 2)
Answer:21 m2
Step-by-step explanation:
h= 6
b= 7
6x7= 42
42 divided by 2 = 21
Area= 21m
Given the Production Function Q = 72X + 15X 2 - X 3 , where Q =Output and X=Input (5 marks) a) What is the Marginal Product (MP) when X = 8? B) What is the Average Product (AP) when X = 6? C) At what value of X will Q be at its maximum? D) At what value of X will Diminishing Returns set in?
Answer:
a.) Marginal Product (MP) = 120
b.) Average Product = 126
c.) At x = 12, the output is maximum.
d.) After 5 levels of inputs diminishing returns set in.
Step-by-step explanation:
Given that,
Q = 72x + 15x² - x³
a.)
Marginal Product is equal to
[tex]\frac{dQ}{dx} = 72 + 30x - 3x^{2}[/tex]
At x = 8
MP = 72 + 30(8) - 3(8)²
= 72 + 240 - 192
= 120
∴ we get
Marginal Product (MP) = 120
b.)
Average Product is equals to
= [tex]\frac{Q}{x}[/tex]
= 72 + 15x - x²
At x = 6
Average Product = 72 + 15(6) - 6²
= 72 + 90 - 36
= 126
∴ we get
Average Product = 126
c.)
For Maximizing Q,
Put [tex]\frac{dQ}{dx} = 0[/tex]
⇒72 + 30x - 3x² = 0
⇒24 + 10x - x² = 0
⇒x² - 10x - 24 = 0
⇒x² - 12x + 2x - 24 = 0
⇒x(x - 12) + 2(x - 12) = 0
⇒(x + 2)(x - 12) = 0
⇒x = -2, 12
As items can not be negative
∴ we get
At x = 12, the output is maximum.
d.)
Now,
For Diminishing Return
[tex]\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0[/tex]
⇒30 - 6x < 0
⇒-6x < -30
⇒6x > 30
⇒x > 5
∴ we get
For x > 5, the diminishing returns set in
i.e.
After 5 levels of inputs diminishing returns set in.
I need help please. Whatever you can with the 1st question
Can someone please help?
Independent Practice
Find the GCF of the first two terms and the GCF of the last two terms for the polynomial.
2z3 + 12z2 – 5z – 30
A.
z2; –5
B.
2z; –5
C.
2z2; –5
D.
2z2; 5
Answer:
C.
2z2; –5
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping.
( z + 6 ) ( 2 z 2 − 5 )
Answer:
2z^2; –5
Step-by-step explanation:
2z3 = 2 • z • z • z 12z2
= 2 • 2 • 3 • z • z
The GCF is 2z2.
–5z3 = –1 • 5 • z • z • z
–30 = –1 • 5 • 6
The GCF is –5.
In the figure, d || m. What is the value of x?
Answer:
x = 53
Step-by-step explanation:
The angle labeled with the expression "2x - 20 " and the angle with the measure of 86 degrees are opposite interior angles.
Opposite interior angles are congruent
This means that 2x - 20 = 86
This is our equation.
We now solve for x using basic algebra
2x - 20 = 86
step 1 add 20 to each side
-20 + 20 cancels out
86 + 20 = 106
now we have 2x = 106
step 2 divide each side by 2
2x / 2 = x
106 / 2 = 53
we're left with x = 53
A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?
Answer and Step-by-step explanation:
The answer is acute.
Acute angles are angles that have a degree that is less than 90 degrees.
Obtuse angles are angles that have a degree that is more than 90 degrees.
Right angles are angles that are 90 degrees.
Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.
#teatrmees #PAW (Plant And Water)
What is -3y(y-8)(2y+1)=0
Step-by-step explanation:
(-3y^2+24y)(-6y^2-3y)
open the bracket and collect the like terms
-3y^2-6y^2+24y-3y
-9y^2+21y
Find the total surface area of the pyramid.
4 in.
6 in.
6 in.
Answer:
84 in²
Step-by-step explanation:
[tex]S_{A} = A_{L}+A_{base}[/tex]
[tex]S_{A}[/tex] = 4(1/2 * 6 * 4) in² + 6 in * 6 in
[tex]S_{A}[/tex] = 2(24) in² + 36 in²
[tex]S_{A}[/tex] = 48 in² + 36 in²
[tex]S_{A}\\[/tex] = 84 in²
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
If "if p , then q " is the conditional statement, then "if q , then p " is the converse.
True
False
Answer:A true
Got it right in the odyssey ware
Step-by-step explanation:
Which inequalities have the solution set graphed on the number line? Select two options. A number line going from negative 6 to positive 2. An open circle is at negative 4. Everything to the left of the line is shaded. x less-than negative 4 Negative 4 less-than x Negative 4 less-than-or-equal-to x Negative 4 greater-than x x greater-than negative 4
I Will Mark Brainliest
Answer:
bcd
Step-by-step explanation:
As part of a survey, 150 students were asked if they eat breakfast on school days. Of these students, 45 stated they eat breakfast on school days What percentage of the students in the survey stated they eat breakfast on school days?
Answer:
30 students
Step-by-step explanation:
Total number of students = 150
Of these students, 45 stated they eat breakfast on school days.
We need to find the percentage of the students in the survey stated they eat breakfast on school days. It can be calculated as follows :
[tex]\%=\dfrac{45}{150}\times 100\\\\=30[/tex]
Hence, out of 150, 30 students stated they eat breakfast on school days.
convert 2.5 tons into pounds
Answer:
5000 pounds
Step-by-step explanation:
2.5 x 2000 pounds in a ton
5000 pounds
Mark's father travels 463 miles every month for his job. How many miles does he travel in 8 months? A 3,204 miles B 3,284 miles 3,604 miles D 3.704 miles
Answer:
D 3,704
Step-by-step explanation:
Answer:
the answer is 3,704
Step-by-step explanation:
wouldn't you just multiply 483 by so the answer is 3,704
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
26.39
Step-by-step explanation:
It's a right triangle, so because of how trigonometric functions work:
[tex]\sin B = \frac{4}{9}\\B = \arcsin\frac{4}{9} \approx 26.3878^\circ[/tex]
There's really no better way than to input it into a calculator.
So the only thing left is to round to the nearest hundredth.
Answer:
I want to say it is 30 digresses
Step-by-step explanation:
I a awnsering that scence its a acute angle but I am still not completly sure but that is still my guess
A transformation is a of a figure to the or
Answer: change, position, shape
Step-by-step explanation:
pls help with this !!!!!!!
Both methods assume a normal distribution of the data, but the z-tests are most useful when the standard deviation is known.
OR u can use , z-tests are used when we have large sample sizes (n > 30), whereas t-tests are most helpful with a smaller sample size (n < 30). Both methods assume a normal distribution of the data, but the z-tests are most useful when the standard deviation is known.
In the above figure, m∠A = 22° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A.
x = 26, m∠B = 68°
B.
x = 71, m∠B = 158°
C.
x = 48, m∠B = 68°
D.
x = 26, m∠B = 52°
Answer:
A.
Step-by-step explanation:
22+(2x + 16)+90=180
combine like terms: 90+22+16=128
180-128=52
52=2x
52/2 = 2x/2
26 = x
(2*26+16) - angle B
Plz help! No link plz! I need to finish fast!
Players on a basketball team compared the total number of points they scored in a game. The results are shown on the circle
graph.
If there were 88 points scored overall, how many more points were scored by Dakota than by Rudy?
A)
16
B)
24
C)
28
D)
32
Answer: i think B
Step-by-step explanation:
88(4/11)-88(1/11)
pls help pls for brainliest
Answer:
I think the answer could be C
Step-by-step explanation:
Sorry if im wrong
0
100%
What is a decimal that is equivalent to the fraction 12/100?
Answer:
12%
Step-by-step explanation:
12/100
12%
Answer:
0.12
Step-by-step explanation:
divide 12 by 100 which would be moving the decimal point 2 times to the left.
A line has this equation: y = -8x + 8,
Write an equation for the parallel line that goes through (9,7)
[tex]=======================================[/tex]
parallel lines have the same slope; it means that if we have a line with a slope of -8, then the line parallel to the given line has the same slope (-8)
now, we are also given a point that the line passes through:
(9, 7)
we can use point-slope form:
[tex]\pmb{y-y1=m(x-x1)}[/tex]
[tex]\pmb{y-7=-8(x-9)}[/tex] (point-slope form)
now, convert to slope-intercept form, if necessary:
[tex]\pmb{y-7=-8x+72}[/tex]
[tex]\pmb{y=-8x+72+7}[/tex]
[tex]\pmb{y=-8x+79}[/tex]
[tex]================================[/tex]
note:-Hope everything is clear; if you need any more explanation, kindly let me know.
Plzzz I Need help ASAPPPPPPP
Answer:
1, 3, and 4 would be correct answers
Step-by-step explanation:
1.) -x - 2x - 3y - 2y + 1 + 1 = -3x -5y + 2
2.) -3x + 2y + 3y + 2 = -3x + 5y + 2
3.) -3x - y - y - y - y - y + 2 = -3x - 5y + 2
4.) -x - x - x - y - y - y - y - y + 1 + 1 = -3x - 5y + 2
5.) x + x + x + y + y + y + y + y + 1 + 1 = 3x + 5y + 2
Hope this helps!
What’s the answer for the last one
Answer:
its 14
Step-by-step explanation:
because each cookie is 10 and the 2 bananas are 2 so one banana is 1 and then the other thing whatever it is is 3 each so 10*1=10+1+3=14
hopefully this helps!
Ginger spent $24 at the fair, which was three times the amount she spent last year at the fair. How much money did Ginger spend last year at the fair?
Answer:
She spent 8 dollars.
Step-by-step explanation:
24 divided by 3 is 8
Andre bought pencils in packs of 8. He gave 2 pencils to his sister and 3 pencils from each pack to his friends. The expression 8p-3p-2 represents the number of pencils Andre has left from p packs. Simplify the expression by combining like terms.
what is the answer?
Answer:
27
Step-by-step explanation:
he was left with no pencils
Question on picture!!!!!!!!
Answer:
1st option
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use (3, 8 ) , that is x = 3 when y = 8 , then
8 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )
24 = k
y = [tex]\frac{24}{x}[/tex] ← equation of variation
In how many ways
can 4 students, Sue,
Jan, Kim, and Pat come
in 1st
, 2nd, 3rd, and 4th
place?
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation: