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3 years ago

∆ABC m∠B = 90° AB = 4 BC = 3 Find AC

Mathematics

1 answer:

lutik1710 [3]3 years ago

8 0

Step-by-step explanation:

In ∆ABC, m∠B = 90°

Therefore ∆ABC is a right angled triangle with sides AB = 4 & BC = 3. AC is the hypotenuse.

Hence, by Pythagoras theorem:

$AC^2 = AB^2 +BC^2 \\ \\ \therefore \: AC = \sqrt{AB^2 +BC^2 } \\ = \sqrt{ {4}^{2} + {3}^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} \\ = 5 \\ \\ \huge \red{ \boxed{ \therefore \: AC = 5 \: units}}$

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Can you help me find the value of x and y. I am very confused.

Monica [59]

Hello,
Let's assume top left corner: A
top right corner : B
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Bottom left corner :D

M= middle of [CD]

ABM is a triangle rectangular isocel:

(3√2)²+(3√2)²=y²
==>y²=2*9*2
==>y²=36
==>y=6

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3 years ago

Helppppppp!!!! me ill put you brainliest!

Damm [24]

Answer:

21 3/4 - 13 1/8 = 8 5/8 ft longer

Step-by-step explanation:

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21 3/4 - 13 1/8

We need to get a common denominator of 8

21 3/4*2/2 - 13 1/8

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4 years ago

An evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth rate during those 7 years is

neonofarm [45]

Answer:

(a) $h(t)=\frac{1.3t^2}{2} + 2t +17$

(b)62.85cm

Step-by-step explanation:

The growth rate of the shrub is given as:

$\frac{dh}{dt} = 1.3t + 2$

Where t=time in years, h=height in centimeters

(a)First, we solve for the height h(t) by integrating.

$\int \frac{dh}{dt} dt= \int (1.3t + 2)dt\\h(t)=\frac{1.3t^2}{2} + 2t +C, $ C a constant of Integration$\\$We sunstitute the initial value to find the value of C$\\$When t=0, h=17cm$\\17=C\\Therefore:\\h(t)=\frac{1.3t^2}{2} + 2t +17$

(b)The shrub are sold after 7 years of growth. Therefore, we determine the value of h(t) when t=7 years.

$h(t)=\frac{1.3t^2}{2} + 2t +17\\h(7)=\frac{1.3*7^2}{2} + 2(7) +17\\=31.85+14+17\\h(7)=62.85cm$

The Shrubs are 62.85cm tall when they are sold.

4 0

3 years ago

If AB = 8, and OX = 3 and is the perpendicular bisector of AB, which is the length of the diameter of this circle?

Sladkaya [172]

Answer:

C. 5

Step-by-step explanation:

OXA is a 3-4-5 right triangle, so the circle radius is OA = 5.

_____

By the Pythagorean theorem,

AO² = OX² +AX² = 3² +4² = 9 +16 = 25

AO = √25 = 5 . . . . circle radius

_____

<em>Comment on Pythagorean triples</em>

The triple of integers (3, 4, 5) is the smallest triple of integers that satisfies the relation of the Pythagorean theorem. The next smallest set is (5, 12, 13). These, and a few other similar triples such as (7, 24, 25) and (8, 15, 17) are often used in algebra and geometry problems because they make the numbers work out nicely. It is worthwhile to learn to recognize these.

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3 years ago

Write a real-life situation that can be modeled by the expression 1 1/3 x 2.

FromTheMoon [43]

You have 11 ounces of candy per package you got to split 3 ways you have 2 packages how much candy does each person get?

I came up with this...good luck

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3 years ago

Read 2 more answers