Please solve this 3 variable system of equations2g + 3h - 8j= 10
g - 4h =1
-2g - 3h+ 8j= 5

Answers

Answer 1

Answer: Not solvable. If you take the first and last equations together, then multiply the last by -1 you get
2g+3h-8j=10
2g+3h-8j=-5
Resulting in
10=-5, which is false, so there is no solution

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A new experimental tank is in the shape of a cone, cylinder and sphere. All of the tanks have a volume of 10,000 cm3 . One condition to this tank is that the Radius should be 10 cm. Follow up the questions below based on this scenario. Find the height of cylinder . Keep the answer in terms of π
a jar contains half dollars and quarters. there are 30 coins in all in the jar. the total value of the coins is $8.75. how many quarters are in the jar?
What is the equation of a circle with center (-2, 3) and radius 4?A. B. C. D.
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For a button to fit through its buttonhole, the hole needs to be the size of the button's diameter. Whatsize buttonhole is needed for a button with a circumference of 7.38 centimeters? (Use the value of 3.14 to represent pi.) A. 2.35 centimeters B. 1.14 centimeters C. 5.14 centimeters D. 3.69 centimeters

Given that the measure of ∠x is 60°, and the measure of ∠y is 90°, find the measure of ∠z.

Answers

The measure of ∠x is 60°, and the measure of ∠y is 90°, the measure of ∠z is 30°

What is an angle ?

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

In right angle triangle, Δxyz

Angle ∠x is 60°

Angle ∠y is 90°

It is already known that sum of all the interior angles of any triangle is equal to 180°

So,

∠x + ∠y + ∠z = 180°

60° + 90° + ∠z = 180°

∠z = 30°

Therefore, the third angle is 30°

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This is a right triangle. And every traingle should have total 180°. 180-150 = 30° is the answer

1The diagram below shows the length and width of the wall
that Tara is going to cover with wallpaper.
24 feet
(15 feet
What is the least amount of wall paper Tara will need to
cover the entire area of the wall?
A 39 square feet
C 350 square feet
B 78 square feet
D 360 square feet

Answers

Answer:

D. 360 square feet

Step-by-step explanation:

The area of Tara's wall is 24 times 15 which equals 360 sq. feet. This means she would need the same amount of wallpaper to cover it.

Which inequality's graph will have a dashed boundary line?A.)x + 7y > 3

B.)7x + y ≤ 3

C.)6x − 5y ≥ 4

D.)y − x ≤ 3

Answers

THE EQUALITY WITH BOUNDARY IS B

To the nearest hundredth of a second, how much time does it take a car to travel 50 feet from a stop at a constant acceleration of 3. 2 ft/s²? Use d=1/2at², where d represents distance, a represents acceleration, and t represents time in seconds. (pic above)

Answers

$d=(1)/(2)at^2\n\nWe\ have:\n\nd=50\ ft,\ a=3.2(ft)/(s^2)\n\nSubstitute:\n\n(1)/(2)\left(3.2(ft)/(s^2)\right)t^2=50\ ft\n\n1.6(ft)/(s^2)t=50\ ft\qquad\text{divide both sides by}\ 1.6(ft)/(s^2)\n\nt^2=50\ ft\cdot(1)/(1.6)(s^2)/(ft)\n\nt^2=(50)/(1.6)s^2\n\nt^2=(500)/(16)s^2\to t=\sqrt{(500)/(16)s^2}\n\nt=(√(500))/(√(16))s\n\nt=(√(100\cdot5))/(4)s\n\nt=(√(100)\cdot\sqrt5)/(4)s\n\nt=(10\sqrt5)/(4)s\approx5.59\ s$

$Answer:\ \boxed{5.59\ s}$

Final answer:

Using the given equation and values, we can calculate that it would take approximately 5.59 seconds for a car to travel 50 feet from a stop with a constant acceleration of 3.2 ft/s².

Explanation:

To solve this physics problem, we'll need to use the equation d=1/2at². Here, 'd' represents distance, 'a' represents acceleration, and 't' represents time. Here, we are given 'd' as 50 feet and 'a' as 3.2 ft/s². Now we just need to isolate 't' and solve for time.

Start with the given equation: d=1/2at².
Substitute the given values: 50=1/2*3.2*t².
Remove the fraction by multiplying all terms by 2: 100=3.2*t².
Divide both sides by 3.2 to isolate t²: t²=31.25.
Take the square root of both sides to solve for 't': t=√31.25.
So, t ≈ 5.59 s (rounded to the nearest hundredth).

To summarize, a car traveling 50 feet from a stop with a constant acceleration of 3.2 ft/s² would take approximately 5.59 seconds. Always remember to isolate the unknown in your equation and solve step-by-step for these types of problems.

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Simplify.i^68

A. -i

B. 1 (I think it's B, please tell me if it's right or not. Thank you.)

C. -1

D. i

Answers

Answer:

B. 1

Step-by-step explanation:

Isolate i on one side of the equation.

First, use exponent rule.

$\displaystyle \mathsf{A^B^C=(A^B)^C}}$

$\displaystyle \mathsf{(I^2)^3^4=I^6^8}}$

$\displaystyle \mathsf{(I^2)^3^4}}$

Solve. (by imaginary number rule.)

i²=-1

(-1)³⁴

=1³⁴

1³⁴=1

$\Large\boxed{\mathsf{\Rightarrow 1}}}$

In conclusion, the final answer is (B.) 1.

Find the greatest common factor of 14, 20, and 25.

Answers

14=2 20=2 25=5
7=7 10=2 5=5
1=1 5=5 1=1
so the one for 14 1=1 so the answer for 25
would be 2*7 so the answer for 20 would be 5*5
would be 2*2*5 or 4*5

the reason that i did not put the one into the math problems is because anything times one is its self so i hope that this helps

Answer: it 1

like pls

Step-by-step explanation:

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