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2 years ago

Which value of y will make the inequality y < -1 false ?

1 answer:

6 0

Hello!

Since y has to be less than -1 to make it false y has to be greater than -1

The answer 2 or just any number that is greater than -1

Hope this helps!

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Find the missing side. Round to the nearest tenth. Х 28° 15 x = [?]

Effectus [21]

Given:

The right triangle with base 15 and hypotenuse x.

The measure of angle between base and hypotenuse is 28 degrees.

To find:

The value of x.

Solution:

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

In the given triangle,

$\cos 28^\circ=\dfrac{15}{x}$

$x=\dfrac{15}{\cos 28^\circ}$

$x=\dfrac{15}{0.8829476}$

$x=16.98855$

Round the value to the nearest tenth.

$x\approx 17.0$

Therefore, the value of x is 17.0 units.

8 0

2 years ago

Between which two numbers is Negative 1.5 located on a number line? A number line going from negative 5 to positive 3 in increme

andrew-mc [135]

Answer:

negative 1.5 lies between -1 and -2

3 0

2 years ago

Solve |3x - 5] = 2 - 1/2x

bekas [8.4K]

Answer:

x=2

Step-by-step explanation:

First multiply both sides by 2:

6x-10=4-x

Move the variable to the left-hand side and change its sign:

6x-10+x=4

Move the constant to the right-hand side and change its sign:

6x+x=4+10

Collect like terms:

7x=14

Divide both sides of the equation by 7:

x=2

8 0

2 years ago

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the

kolbaska11 [484]

Answer:

Volume of cylinder = $\pi r^2h$

Step-by-step explanation:

Given : A cylinder fits inside a square prism.

To find : The volume of cylinder

Solution : Refer the attached graph.

Area of circle = $\pi r^2$

Area of square = $s^2$

Side of square = diameter of circle= $D^2$

Diameter = 2r

∴ Area of square= $2r^2=4r^2$

$\frac{Area of circle}{Area of Square}=\frac{\pi r^2}{4r^2}=\frac{\pi}{4}$

Area of circle is $\frac{\pi }{4}$ of area of square.

Volume is always = area × height

Volume of prism = Area of square × h = $4r^2h$

Volume of cylinder = Area of circle × h = $\pi r^2h$

Now, rate

$\frac{Volume of cylinder}{Volume of prism}=\frac{\pi r^2h}{4r^2h}=\frac{\pi}{4}$

⇒Volume of cylinder is $\frac{\pi }{4}$ of Volume of prism.

Volume of Cylinder = $\frac{\pi }{4}\times Volume of prism$

Volume of cylinder = $\frac{\pi }{4}\times 4r^2h$

Volume of cylinder = $\pi r^2h$

6 0

2 years ago

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Ax+ By =z how to solve for y?

Trava [24]

Answer:

Ax+BY=z First subtract Ax from both sides to get By=z-Ax. Then divide by B from both side to get y=(z-Ax)/B

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers