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3 years ago

11

Triangle abc is a right traingle if side ac=7 and side bc= 10 what is the measure of ab?

1 answer:

Artist 52 [7]3 years ago

7 0

<span>Use the Pythagorean theorem for the right triangle $ABC,$ where

$AB$ is the hypotenuse of the triangle;

$AC$ and $BC$ are the other two sides.

So,

$(AC)^{2}+(BC)^{2}=(AB)^{2}\\\\ 7^{2}+10^{2}=(AB)^{2}\\\\ (AB)^{2}=49+100\\\\ (AB)^{2}=149\\\\ AB=\sqrt{149}$

</span>

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Marianna [84]

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3 years ago

Read 2 more answers

What are the zeros of the function f(x) = x2 + 5x + 5 written in simplest radical form?

Pavel [41]

$\boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}$

<h2>Explanation:</h2>

Using the quadratic formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ Here: \\ \\ f(x) = x^2 + 5x + 5 \\ \\ \\ So: \\ \\ a=1 \\ \\ b=5 \\ \\ c=5 \\ \\ \\ x=\frac{-5 \pm \sqrt{5^2-4(1)(5)}}{2(1)} \\ \\ x=\frac{-5 \pm \sqrt{25-20}}{2} \\ \\ x=\frac{-5 \pm \sqrt{5}}{2} \\ \\ \\ Two \ solutions: \\ \\ \boxed{x_{1}=\frac{-5 + \sqrt{5}}{2}} \\ \\ \\ \boxed{x_{2}=\frac{-5 - \sqrt{5}}{2}}$

<h2>Learn more:</h2>

Quadratic functions: brainly.com/question/12164750

#LearnWithBrainly

8 0

2 years ago

A company makes spherical tanks that store chemicals. Their standard model has a diameter of 6 meters, but a customer needs a la

Deffense [45]

Answer:

The approximate diameter of the larger tank is 8.10 meters

Step-by-step explanation:

Here, we want to calculate the diameter of the larger tank

The volume of a sphere

V = 4/3 * π * r^3

Let us calculate the volume of the standard model

That will be;

Since diameter is 6 and r = d/2

r = 6/2 = 3 meters

V = 4/3 * π * 3^3 = 36 π m^3

Now, the volume of the larger tank is 2.5 times of this;

The volume of the larger tank is 2.5 * 36 π = 90 π m^3

So we can calculate the radius of this before we calculate its diameter

4/3 * π * r^3 = 90 π

4r^3/3 = 90

r^3 = 270/4

r^3 = 67.5

r = 3x√(67.5)

r = 4.07 m

Diameter here is 2 times this

= 4.07 * 2 = 8.14

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2 years ago

1/250 : 2 = 1/150 : x

Cerrena [4.2K]

Answer:

x= 10/3

Step-by-step explanation:

1/250 : 2 = 1/150 : x

it's a simple problem of ratio and proportion

1/250 : 2 = 1/150 : x

⇒ $\frac{x}{250}= \frac{2}{150}$

⇒ $x= \frac{2\times250}{150}$

x= 10/3

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3 years ago

Sheila was making place-value disks. She colored 2/6 of the disks red. She colored 1/4 of the disks yellow. If she colored 40 re

Anastasy [175]

Answer:

She colored 30 yellow place value disks and 50 disks are left to color.

Step-by-step explanation:

Let total number of disks be x.

It is given that, she colored 2/6 of the disks red. She colored 1/4 of the disks yellow.

$\text{Red disks}=\dfrac{2}{6}x$

$\text{Yellow disks}=\dfrac{1}{4}x$

She colored 40 red place value disks.

$\dfrac{2}{6}x=40$

$\dfrac{1}{3}x=40$

$x=120$

It means total number of disks is 120.

$\text{Yellow disks}=\dfrac{1}{4}x=\dfrac{1}{4}(120)=30$

So, she colored 30 yellow place value disks.

Remaining disks = Total disks - Red disks - Yellow disks

$=120-30-40$

$=50$

Therefore, 50 disks are left to color.

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3 years ago