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2 years ago

Given the triangle below, what is the length of the third side, rounded to the nearest whole number?

Mathematics

1 answer:

Leno4ka [110]2 years ago

7 0

Answer:

Step-by-step explanation:

You need the Law of Cosines for this, namely:

$x^2=21^2+14^2-2(21)(14)cos58$ where x is the missing side.

$x^2=441+196-311.5925$ and

$x^2=325.4075$ so

x = 18.0 or just 18

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Find the complement of the set given that

iris [78.8K]

Answer:

A ' = {-2,-1,0,1, 4,7}

Step-by-step explanation:

Here, the Universal set U is given as:

U = {x | x is in I and −3 ≤ x ≤ 7}

⇒ U = { -3,-2,-1,0,1,2,3,4,5,6,7}

Now given: A = {−3, 2, 3, 5, 6}

Compliment A set of any set A is the set of all the elements which is in the universal set U but NOT in A.

So, here the set of elements which are in U but not in A is

A ' = {-2,-1,0,1, 4,7}

So here the elements in the compliment of the given set -2,-1,0,1,4,7

4 0

2 years ago

If you place a 26-foot ladder against the top of a 10-foot building, how many feet will the bottom of the ladder be from the bot

True [87]

Answer:

24 foot

Step-by-step explanation:

We are given that

Length of ladder=26 foot

Height of building=10 foot

We have to find the distance between the bottom of ladder and the bottom of building.

Pythagorus theorem:

$(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2$

We have hypotenuse =AC=26 foot

Perpendicular side =AB=10 foot

Base=BC

Substitute the values in the given formula

$(26)^2=(10)^2+(BC)^2$

$676=100+(BC)^2$

$(BC)^2=676-100=576$

$BC=\sqrt{576}=24$ (Take positive because length is always positive)

BC=24 foot

Hence, the bottom of the ladder will be 24 foot from the bottom of the building.

8 0

2 years ago

How to evaluate 11+y

s344n2d4d5 [400]

Good morning ☕️

Step-by-step explanation:

11+y is an expression that contains a variable ‘y’

then its value depends on ’y’

examples :

if y = 0 → 11+y = 11+0 = 11

if y = 1 → 11+y = 11+1 = 12

if y = 2 → 11+y = 11+2 = 13

and so on.

7 0

2 years ago

Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.

andrew-mc [135]

Answer:

Solution,

Let the points be A and B

A(-4 , 1)------>( X1, y1)

B(2,4)---------->( x2, y2)

Now,

Gradient:

$\frac{y2 - y1}{x2 - x1}$

$\frac{4 - 1}{2 - ( - 4)}$

$\frac{3}{2 + 4}$

$\frac{3}{6}$

$\frac{1}{2}$

Hope this helps...

Good luck on your assignment...

3 0

2 years ago

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Factorise 16 x²+ 4 y² + 9 z²

Dominik [7]

Answer:

The expression is not factorable with rational numbers.

Step-by-step explanation:

4 0

2 years ago

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