Answer: c(a+ab)=x
Step-by-step explanation:
a(x+b)=c distribute the (a)
ax+ab=c now divide by ax by x
a+ab=c/x now multiply by c
c(a+ab)=x
pls help me w this — show work work
Answer: 17.2
Step-by-step explanation:
You must use the law of sines, which says that sinA/a = sinB/b = sinC/c, where the side is the side across from the angle.
the length of side a = 16m, and the angle A = 25.
the length of side b = x, and the angle B = 27
1. sinA/a = sinB/b
2. sin25/16 = sin27/x
3. x(sin25)/16 = sin27
4. x = 16sin27/sin25
5. x = 17.2
Solve the equation: 1/3 x - 4 = 28
Answer:
x = 96
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 4 to both sides:
(1/3)x - 4 (+4) = 28 (+4)
(1/3)x = 28 + 4
(1/3)x = 32
Next, multiply 3 to both sides:
(3)(1/3)x = (32)(3)
x = 32 * 3
x = 96
x = 96 is your answer.
~
Answer:
96=x
Step-by-step explanation:
Add 4 to each side
1/3x= 32
multiply 3 on each side to cancel out the fraction
x=96
Find the point-slope equation of the line using the point (1,2) and the slope of 3/2
Point slope form: y - y1 = m(x - x1)
(x1, y1) = a point
m = slope
We are given:
(x1, y1) = (1, 2)
m = 3/2
Put into the original equation:
y - 2 = 3/2(x - 1)
Best of Luck!
Ann and tom want to establish a fund for their grandson's college education. What lump sum deposit at a 12.7% annual interest rate compounded annually interest rate in order to have 20,000 in the fund at the end of 15 years
Answer:
2,683.34
Step-by-step explanation:
A=p(1+r/n)^nt
P=A/(1+r/n)^nt
A=20,000
r=12.7%=0.127
t=15
n=12
P=?
P=20,000/(1+/0.127/12)^12.7*15
=20,000/(1+0.0106)^190.5
=20,000/(1.0106)^190.5
=20,000/7.4534
P=2,683.3391
Approximately
P=2,683.34
b) Solve x + 5x + 6 = 0
Answer:
Step-by-step explanation:
The solutions are
x=2,x=3
Explanation:
x2−5x+6=0
Here we can first factorise the expression and then find the solution:
Factorising by splitting middle term
x2−2x−3x+6=0x(x−2)−3(x−2)=0(x−2)(x−3)=0
Equating the two factors with zero to obtain solutions:
x−2=0,x=2x−3=0,x=3
Answer:
x + 5x + 6
x + 3x + 2x +6
x(1 + 3) + 2(x + 3)
(x + 3) (x+2) = 0
x = -3 (or) x = -2
If you have the following ordered pairs: (3,4) and (0,-2) Write an equation to represent them.
A) y=30 x -2
B) y=-2x +2
C) y=3x -2
D) y=2x+ -2
How many times larger is the volume of a cylinder if the height is doubled?
Answer:
times 4
Step-by-step explanation:
Find the amount of money in an account after 4 years if $1800 is deposited at 5% annual interest compounded quarterly.
Answer:
$2195.80
Step-by-step explanation:
For a initial principal, P compounded with period k over n years at an annual interest rate, r, the amount (A(n)) at the end of n years is determined using the function:
[tex]A(n)=P(1+\frac{r}{k})^{nk}[/tex]
In the given case:
P=$1800
n=4 years
r=5%=0.05
Since it is compounded quarterly, Period, k=4
Therefore, the amount of money in the account after 4 years is:
[tex]A(n)=1800(1+\frac{0.05}{4})^{4*4}\\=1800(1+0.0125)^{16}\\=1800(1.0125)^{16}\\=\$2195.80[/tex]
After 4 years, there will be $2195.80 in the account.
Zain bought ice cream and sherbet at the grocery store and is placing the containers in the freezer. The container of ice cream was sold in a 10" × 14" × 12" container, and the sherbet was sold in an 11" × 18" × 9" container. How much less space does the container of ice cream occupy than the container of sherbet? *
Answer:
102 in^3.
Step-by-step explanation:
Volume of the ice cream container = 10*14*12 = 1680 in^3.
Volume of the sherbet container = 11*18^9 = 1782 in^3.
So the answer is 1782 - 1680
= 102 in^3.
The 3 rd term of an AP is 3 and 11th term is -21, find its first term and common difference.
Answer:
Step-by-step explanation:
a₃=a-(3-1)d
=a-2d=3⇒equation 1
a₁₁=
=a-10d=11⇒eq 2
by elimination method
eq2-eq1
-8d=8d=-1
substituding in eq1 a=1
hope this helps
plzz mark me brainliest
What is the value of x?
6
7
8
9
Answer:
7
Step-by-step explanation:
just took the test on edg2020
The value of x from the given parallelogram ABCD is 7. Therefore, option B is the correct answer.
In the given figure, AD=5x+3 and BC=38.
What is parallelogram?A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.
In the parallelogram ABCD, AD=BC
So, 5x+3=38
⇒ 5x=35
⇒ x=7
The value of x from the given parallelogram ABCD is 7. Therefore, option B is the correct answer.
Learn more about the parallelogram here:
https://brainly.com/question/19187448.
#SPJ6
4.96X 10^6 = (x) (2x + 0.570)^2
Answer: no solution
Step-by-step explanation:
Answer: x = -1113.83787 ; x = 1113.26787
Step-by-step explanation:
1. How do you determine the constant that you should add to an expression in the form x^2+bx so that it becomes a perfect square trinomial?
2. When solving a quadratic equation by completing the square, why must you add the number that completes the square to both sides of the equation?
3. Why might you discard a negative solution in a real-world problem?
now heres a step by step explanation Step-by-step explanation: your welcome
Find the unit rate:
Sandra picked 55 oranges in 5 minutes.
How many did she pick in one minute?
Answer:
11
Step-by-step explanation:
55/5=11
Question down below thx!
Answer:
6 pi
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
The diameter is 2 so the radius is 1/2 d = 1
V = pi (1)^2 * 6
V = 6 pi
Find the area of the shaded region. Round your answer to the nearest tenth. Put the units on the answer for full credit
Answer:
Area of Shaded Region: 189 square centimeters
Step-by-step explanation:
~ To find the area of the shaded region, let us calculate the area of the rectangle added to the area of the two triangles, or the area of the whole triangle created from the two smaller triangles ~
1. Given dimensions of 15 by 9 centimeters, the area of the rectangle would be ⇒ 15 cm * 9 cm = 135 cm^2
2. It would be simpler if we were to consider the area of the larger triangle. The height in this case, by the Partition Postulate, would be 27 cm - 15 cm ⇒ 12 centimeters. Now provided that the shape with dimensions 15 cm by 9 cm is a rectangle, opposite sides are ≅, and thus ⇒ the base of this large triangle is 9 cm. That being said we can calculate the area of the triangle by ⇒ 1/2 * base * altitude ⇒ 1/2 * 9 cm * 12 cm ⇒ 6 cm * 9 cm ⇒ 54 cm^2
3. The area of the shaded region is thus 135 cm^2 + 54 cm^2 ⇒ 189 cm^2
Area of Shaded Region: 189 square centimeters
Find x in this 45°-45°-90° triangle.
x=
Answer:
33
Step-by-step explanation:
because a triangle measure 90 degrees so you just subtract the amount that you add and got
Answer: 11 square root of 2
Solve the equation k/1.5=3
Answer:
4.5
:):)
:):)
:):)
Tell whether the number is written in scientific notation
7.814×10^−36
Answer:
it is written in scientific notation
Find area of the triangle
Answer:
A =13.5 yd^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the base and h is the height
A = 1/2 (4.5) ( 6)
A =13.5 yd^2
Answer:
22.5
Step-by-step explanation:
7.5ydx6yd
=45yd
45yd/2
=22.5yd^2
A snack bar sells two types of gronala bars. An apricot bar costs $0.80, and a cranberry bar costs $1.25. write an algebraic expression that represents the income the snack bar makes from selling gronala bars.
Answer:
Total Cost (T)= .80a+1.25c
T= a+c
Step-by-step explanation:
This equation has 2 variables. It also has 2 equations
can someone please help me put this in order
Answer:
camera D : 0.00087 ∠camera B : 0.00098∠camera C : 0.0011∠camera A : 0.0012
Step-by-step explanation:
if you rewrite in standard notation
camera A : 0.0012
camera B : 0.00098
camera C : 0.0011
camera D : 0.00087
Find the inverse of function f.
f(x)=4-9x
Answer:
4 - x / 9
Step-by-step explanation:
x should be by itself
Answer:
Step-by-step explanation:
One baseball team played 20 games throughout their entire season. If this baseball team
won 14 of those games, then what percentage of their games did they win? Round your
answer to the nearest whole number if necessary.
Answer:
70%
Step-by-step explanation:
The fraction of the game won is 14/20
Percent means out of 100
14/20 * 5/5 = 70/100
The percent is 70%
Mattie is making a collar for her dog. She needs to buy some chain, clasp, and a name tag. She wants the chain to be 40 cm long. On meter of chain costs $9.75. The clasp is $1.29 and the name tag is $3.43. How much will it cost to make the collar? Estimate to check if your answer is reasonable.
Answer: $8.62
Step-by-step explanation:
Mattie wants to make a collar for her dog. She needs to buy some chain, clasp, and a name tag. Mattie wants the chain to be 40 cm long. On meter of chain costs $9.75, the clasp is $1.29 and name tag is $3.43.
Since 100 centimeters = 1 metre. Mattie needs 40cm and 1 meter of chain costs $9.75, cost of the chain Mattie needs will be:
= 40/100 × 9.75
= 2/5 × 9.75
= $3.90
Chain(40cm) = $3.90
Clasp = $1.29
Name tag = $3.43.
Cost to make collar will be:
= $3.90 + $1.29 + $3.43
= $8.62
A child throws a ball upward with an initial velocity of 15 ft/s from a height of 2 feet. Let ℎ = 0 and solve. If no one catches the ball, how long will it be in the air? Round to the nearest hundredth. ℎ = −16 2 + v + where v is the initial upward velocity with starting height
Answer:
1.056 seconds
Step-by-step explanation:
Solution:-
- When a ball is thrown vertically in air from a height of "so" from the ground at a velocity of " vo " it follows a parabolic trajectory. The ball undergoes its upward motion against gravity. Hence, it has negative acceleration of a = -g = -32 ft/s^2.
- When the balls reaches its maximum height in air, it starts its downward journey under the complete influence of gravity; hence, it accelerates with a = +g = 32 ft/s^2.
- The entire trajectory of the ball is governed by the constant acceleration "a" due to gravity and neglecting any other effects on the ball i.e air resistance.
- There are three kinematic equation of motion valid for any particle undergoing independent one dimensional motion with constant acceleration.
- For vertical trajectory the displacement "h" from the ground is given by the second kinematic equation of motion:
h - so = vo*t + 0.5*a*t^2
h = vo*t + 0.5*a*t^2 + so
Where the parameters are given as:
so = 2 feet
vo = 15 ft/s
a = - 32 ft/s^2
Therefore we have:
h = 15*t + 0.5*(-32)*t^2 + 2
h = -16t^2 + 15t + 2
- To determine the amount of time the ball is in air the displacement is given by the distance from the ground. The journey starts when the ball is thrown from height "so" and ends when it strikes the ground; hence, at h = 0 ft.
0 = -16t^2 + 15t + 2
0 = 16t^2 -15t - 2
- Use the quadratic formula to solve for time "t":
[tex]t = \frac{-b+/-\sqrt{b^2 - 4*a*c} }{2a} \\\\at^2 + bt + c = 0[/tex]
- Plug in the respective constants:
[tex]t = \frac{15+/-\sqrt{15^2 - 4*16*-2} }{32} \\\\ t = \frac{15+/-18.78829 }{32} \\\\t = 1.056 s[/tex]
- The total time for ball in air would be 1.056 seconds. ( Neglect the negative value of time )
Which statement is true?
pls help me ! * ill give you BRAINLIST , have to get it right *
Answer:
The y intercept of Function A is greater than the y intercept of Function B.
Step-by-step explanation:
-3 is greater than -4.
Will mark brainliest :)
Answer:
D
Step-by-step explanation:
The equation of the parabola is of the form
y = ax² + c ( where c is the y- intercept )
Here c < 0
Since the parabola has a maximum value and opens down then a < 0
Thus the only equation that could represent this parabola is
y = - x² - 3 → D
[tex] - 9 \times 4 = [/tex]
Hey!!!
Here's your answer
-9*4=-36
So the right answer -36.
Hope it will help you
Good luck on your assignment
Answer:
-36
Step-by-step explanation:
-9*4 = -(9*4) = -36
What is the volume of the box pictured below?
A rectangular prism of length 1 and 1 over 8 m, width 4 over 5 m, and height 5 over 6 m is shown.
fraction 2 over 3 cubic meter
fraction 3 over 4 cubic meter
fraction 9 over 10 cubic meter
fraction 15 over 16 cubic meter
Answer:
3/4 cubic meter
Step-by-step explanation:
1 1/8 x 4/5 x 5/6= 3/4