Answer:
Explanation:
Write an equation to solve the problem.
Area of rectangle = L(w)
Assuming that the width measures x meters, the length measures x + 5 meters.
500 = x(x + 5)
500 =
x
2
+ 5x
0 =
x
2
+ 5x - 500
As you may already know, a trinomial of the form
a
x
2
+ bx + c, a = 1, you must find 2 numbers that multiply to c and that add to b. Two numbers that multiply to -500 and add to +5 are +25 and -20
0 = (x + 25)(x - 20)
x = -25 and 20
Since a negative length is impossible, the width mesures 20 meters and the length measures 25 meters.
Practice exercises:
A rectangle has a perimeter of 90 meters. Find the maximum area.
The area of a right triangle is 120
m
2
. The base measures half the sum of the height and one. Find the perimeter.
Find the area and perimeter of a right triangle the has a height that is 2 more than the double of the width and that has a hypotenuse that measures
√
68
meters.
Good luck!
Step-by-step explanation:
someone help this is due soon!!
Answer:
m∠E = 113
Step-by-step explanation:
Given that ΔDEF ≅ ΔPQR
We know that the following angles are congruent
∠D ≅ ∠P
∠E ≅ ∠Q
∠F ≅ ∠R
Now how do we know how these angles are congruent?
Well because if a triangle statement is given and the two triangles are congruent we can infer that the angles (in order) are congruent
Meaning: because D and P are the first letters of each triangle in the statement they have congruent angles if that makes sense.
So we are also given that
∠R = 13 and ∠D = 54
and we need to find ∠E
Remember like stated previously ∠R ≅ ∠F so ∠F = 13°
Now that we have found two angles in the triangle ΔDEF we can find the missing angle (∠E)
Using the triangle angle rule (the angles in a triangle add up to equal 180)
so ∠E = 180 - ∠D - ∠F
now we plug in the given information
∠E = 180 - 54 - 13
180 - 54 = 126
126 - 13 = 113
so ∠E = 113
how do i solve this question
Answer:
18.18
Step-by-step explanation:
total sum of angle of quadrilateral is 360
70+60+ 7x-4+4x-3=360
160-7 +11x =360
153 +11x =360
11x=360-153
x=207/11
x=18.18
I need help mann I’m stuck
Answer:
slope -1/3
y- intercept 1
Answer:
Step-by-step explanation:
If i make another answer than a crown will appear click her crown
Just need help with this !
Please anyone answer as soon as you can
Don’t send the link that hacks you :/
Answer:
check all boxes except for the last 1
what expressions are equivalent to 12x-42 (choose all that apply)
6(2x-7)
3(4x-39)
2(6x-21)
-2(-6x-40)
A health club charges a $75 membership fee. Weasley has $300 to spend on a health club membership. Write an inequality to model the number of months that Weasley can afford to be a member of the health club. What is the maximum number of months that he can use the health club?
Answer:
4 months
Step-by-step explanation:
we take $300 ÷$75 which is per month
then we get 4 , which is our months
Plz help
The point of intersection of two function is also called the
A. Center
B. Equation
C. Vertex
D. Solution
Answer:
Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball
Mr. Nguyen opened a savings account with an initial deposit of $480 and will not make any additional deposits or withdrawals. The account earns 2% simple interest. What is the total amount that Mr. Nguyen will have in his account at the end of 3 years?
A $28.80
B $2,880.00
C $508.80
D $768.00
Answer:
c
Step-by-step explanation:
If you fill out both of these you can get Brainliest and some 5 star and thanks!
Answer:
First estimate:
63% is kind of close to 60%
41 is kind of close to 40
its easy to compute 60% of 40 - it's 24
Second estimate:
14% is close to 15%
96 is close to 100
15% of 100 = 15
Answer:
1st one is 25.83, so estimate that so it shud be like 24
Step-by-step explanation:
Which expression is not equal to 1?
sin θ csc θ
cos θ sec θ
tan θ cot θ
sin θ cos θ
Answer:
sin θcos θ
hope it is helpful to you
Answer:
sin A cos A
Step-by-step explanation:
[ I don't know to type angle theta here so assume A as theta]
As , sin A= p/ h
cos A= b/ h
so,
sinA cosA = p/ h × b/h
= pb/ h^2 ( which is not equal to 1 )
Tip; you can easily verify other relations expressing trigonometric ratios in terms of p,b & h and further simplifying..
A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?
Answer:
1/18
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Everyone at your school has to take one art class, so 115 students take glass blowing, 90 students take cave painting, and 15 students take both. The wisest 120 students take photography for an easy A. How many total students are at your school?
So
AUB=A+B-(A$\cap$ B)AUB=115+90-15AUB=100+90AUB=190Total students
190+120310Solve -4x + 6(x + 2) = 20.
Answer:
4
Step-by-step explanation:
-4x +6x +12 = 20
2x + 12 = 20
2x = 8
x = 4
Answer:
X=4
Step-by-step explanation:
-4x+6x+12=29
2x=8
x=4
Good luck .
g(x)=-3x-8
g( )=10
what does x equal?
Answer: X = 24/G
G = 24/x
Step-by-step explanation:
Question is in picture
I NEED THIS ANSWER FAST PLZ!!!
Answer:
64 is your answer
Step-by-step explanation:
When 'x' is multiplied by a number inside the parentheses, it causes what type of
transformation:
Is 40, 25, 85 a pythagorean triple?
Answer:
no
Step-by-step explanation:
40² + 25² = 85²
1600 + 625 = 7225
2225 = 7225
How many feet are in 32 yards?
384 feet
320 feet
96 feet
35 feet
Answer:
96 feet
Step-by-step explanation:
Answer:
32 yards is equal to 96 feet. Hope this helped!! :D
8 squared + B squared = 10 squared
Right triangle Pythagorean theorem
Answer:
6
Step-by-step explanation:
It's 6. The Pythagorean Theorem details how to find the length of a right triangle's hypotenuse.
The equation is a² + b² = c²
C is the length of the hypotenuse. The side lengths you have are a leg as 8 and hypotenuse as 10. By substituting these values into the equation, we get 8² + b² = 10²
Therefore, 64 + b² =100
So b² = 36
By square rooting both sides we finally reach the answer b=6.
Hope I helped!! (p.s. maybe brainliest)
which property is BEST to use when combining 3/5 + 1/4 + 2/5? A) distributive property B) identity property of addition C) additive inverse property D) commutative property of addition
Answer:
D Community property of addition
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
An item costs $370 before tax, and the sales tax is $14.80.
Find the sales tax rate. Write your answer as a percentage.
Answer:
4%
Step-by-step explanation:
370.00x4%=$14.80
Solve for c.
4+c= 10
Answer:
c = 6
Step-by-step explanation:
have a nice day :)
Answer:
c=6
Step-by-step explanation:
4+c=10
4-4 +c =10-4
c=6
I don’t. Think I posted this one
Answer:
The volume of the ice cream cone is 528.1 cubic centimeters.
Step-by-step explanation:
The formula for finding the volume of a cone is V = [tex]\pi r^2\frac{h}{3}[/tex].
Substitute values now:
V = [tex]\pi* 5.8^2*\frac{15}{3}[/tex]
V ≈ 528.1
A ball is thrown upward from a height of 15 feet with an initial velocity of 64 feet per second. Use indefinite integrals to write the position function of the ball at time t.
Answer:
The equation of the position at time t will be:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]
Step-by-step explanation:
We can start by saying that the acceleration here is g = -9.81 m/s². The minus sign is because the gravity acceleration is a vector downward (negative value), and the ball is going upward (positive value).
And we know that acceleration can be written as a second derivative:
[tex]g=\frac{d^{2}y}{dt^{2}}=y''[/tex] (1)
Now, we can take the integral in each side:
[tex]\int gdt=\int y''dt[/tex]
[tex]\int y''dt=\int -9.81dt[/tex] (2)
Solving the integral in each side we have:
[tex]y'(t)=-9.81t+C[/tex] (3)
Where y'(t) is the velocity at t time (v = dy/dt = y' ) and c is a constant value.
Now, the initial conditions are:
initial height y(0) = 15 feet
initial velocity y'(0) = v(0) = 64 feet/s
Using this condition we can find C. Let's evaluate equation (3) at t = 0.
[tex]y'(0)=-9.81(0)+C[/tex]
[tex]C=64\: feet/s[/tex]
So we have:
[tex]y'(t)=-9.81t+64[/tex] (4)
Now, we need to take the integral of equation (4) to get the position function:
[tex]\int y'(t)dt=\int (-9.81t+64)dt[/tex]
Solving this new integral we have:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+D[/tex] (5)
Using the same method above, we can find D evaluating (5) at t = 0, we have:
[tex]y(0)=-\frac{1}{2}9.81(0)^{2}+64(0)+D[/tex]
[tex]D=y(0)[/tex]
[tex]D=15\: feet[/tex]
Finally, the equation of the position at time t will be:
[tex]y(t)=-\frac{1}{2}9.81t^{2}+64t+15[/tex]
I hope it helps you!
Pls help asap giving brainliest waited for 5 hours oof
Answer:3rd answer down (top to bottom)
Step-by-step explanation: c=dπ so
c=96π
c=96*3.14=301.4
so 3rd one down is the answer!
Hope this helps!
Answer:
c
Step-by-step explanation:
because its true
Fill in the blank. The solution to 2 x - 2 + 5 = 13 is ______
Simplify the expression. Write your answer as a power.
6^7•6^10 divided by 6^4•6^3
Answer:
[tex] {6}^{10} [/tex]
Step-by-step explanation:
[tex] \frac{6^7•6^{10}}{6^4•6^3} \\ \\ = \frac{6^7•6^{10}}{ {6}^{4 + 3} } \\ \\ = \frac{ \cancel{6^7}•6^{10}}{ \cancel{6^7}} \\ \\ = {6}^{10} [/tex]
In circle O, mZR = 23. Find mzo. (The figure is not drawn to scale.)
e
R
O 46
23
67
157
Answer:
A. 46Step-by-step explanation:
m<R=23
m<NQ=2(23)=46
m<O=m NQ =46
hope it helps....
✏---------------
m∠R=23mNQ=2(23)=46m∠O=m NQ=46➜➜➜➜➜➜
hope it helps
have a great day!!
Factor completely:
3x2 - 75
Answer:
3(x + 5)(x − 5)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula:
a² − b² = (a + b)
(a − b)
where a = x and b = 5.
3(x + 5)(x − 5)
Or
Search it up for a more detailed answer through Goo gle.
how many more years is the avearge life span of a alligator then a tiger
Answer:
69 years
Step-by-step explanation:
Oh, hell yeah
Answer: 69 more years
Step-by-step explanation: