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Rom4ik [11]
3 years ago
6

Round answer to the nearest hundredth

Mathematics
2 answers:
AnnyKZ [126]3 years ago
7 0

Answer:

10.7

Step-by-step explanation:

use

a^2+b^2=c^2

...........

patriot [66]3 years ago
7 0

Answer:

x ≈ 10.72

Step-by-step explanation:

Use the Pythagorean Theorem, or

a² + b² = c²

to find x.

a² + b² = c²

9² + x² = 14²

81 + x² = 196

Subtract 81 from both sides.

x² = 115

Take the square root.

x = √115

When rounded to the nearest hundredth as a decimal, the answer is

x = 10.72.

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Full steps and all reasons, thanks!​
Nataly_w [17]

You can focus on the two sub-triangles ABC and ACD

We know that they are both right triangles, because we're given that AC and BD are perpendicular.

The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:

AD^2 = AC^2+CD^2

AB^2 = AC^2+BC^2

But since we're given BC=CD, the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.

8 0
4 years ago
H(x) = x4+ 2x3- 10x2 -18x+9
vichka [17]
Let's group the cubic function: h(x)=x^4+2x^3-10x^2-18x+9=(x-3)(x+3)(x^2+2x-1).

The first two roots are \pm3 however to find the last two roots we need to solve the square equation:

x^2+2x-1=0
\\D=b^2-4ac=2^2-4\cdot1\cdot(-1)=8. Now we know the discriminator, using the discriminator we're able to find the roots of the equation: x_{1,2}=\frac{-b\pm\sqrt{D}}{2a}=\frac{-2\pm\sqrt{8}}{2}=\frac{-2\pm2\sqrt{2}}{2}=\frac{2(\sqrt{2}\pm1)}{2}. The roots of the square equation are x_{1}=-1-\sqrt{2} and x_{2}=\sqrt{2}-1.

The roots of the cubic function are \pm3, -1-\sqrt{2} and \sqrt{2}-1.
5 0
3 years ago
Read 2 more answers
Please help me due in the morning please help
MrMuchimi
The answer is going to be H because if you plug in x from the table it will give you y.
3 0
3 years ago
Can someone help me with the graphing part??
vlabodo [156]

Answer:

In the picture above.

Step-by-step explanation:

Good luck.

6 0
4 years ago
A company sells widgets. The amount of profit, y, made by the company, is
denis23 [38]

Answer:

449.25 units

Step-by-step explanation:

The amount of profit, y, made by the company, is  related to the selling price of each widget, x, by the given equation as follows :

y=-x^2+51x-201 ...(1)

For maximum profit,

Put dy/dx = 0So,

\dfrac{d}{dx}(-x^2+51x-201)=0\\\\-2x+51=0\\\\x=\dfrac{51}{2}\\\\x=25.5

Now put x = 25.5 in equation (1).

y=-(25.5)^2+51(25.5)-201\\\\y=\$ 449.25

so, the required answer is 449.25 units.

4 0
3 years ago
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