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4 years ago

I cant figure these out

Mathematics

1 answer:

Brilliant_brown [7]4 years ago

8 0

1) A
a^2+b^2 =c^2 where c is the hypotenuse
6^2+5^2=c^2
36+25=c^2
c^2=61
take square root of both side
c= √61

2) C
same concept, but now we already have c, just need to find the other leg measurements (let’s call it a but it doesn’t matter a or b is fine)
a^2+19.5^2=20^2
a^2=20.2^2-19.5^2
take square root
a= √20.2^2-19.5^2

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There are 4 breakfast choices in a school cafeteria: Cereal, Granola Bar, Breakfast Sandwich, and Fruit. The percentage of stude

zalisa [80]

Answer:

300. In this case, it's very easy to do this percentage inflation. Since 20 is a multiple of 100, and we want to know the 100%, you just multiply the 20 by 5 to make it 100. Along with this, you multiply the 60 by 5 as well, which gives you 300.

8 0

3 years ago

Can someone explain to me why are we adding 2kpi when we are doing zeros for sin and cos, but adding kpi when doing zeros for tg

makvit [3.9K]

on the first exercise, you got a solution angle of π/18, that's a good solution for the I Quadrant only, however, on a circle, we have angles that go from 0 to 2π, however we can always keep on going around and continute to 2π + π/2 or 3π or 4π, or 115π/3 or 1,000,000π/18 and so on, and we're really just going around the circle many times over, getting a larger and larger angle, same circular motion.

π/18 on that exercise works for the I Quadrant, however if we continue and go around say 2π, we'll find that 2π/3 + π/18 is a coterminal angle with π/18, and thus that angle has also the same sine value.

π/18 + 2kπ/3 , where k = integer, is a way to say, all angles around the circle that look like this have the same sine, namely

π/18 + 2(1)π/3

π/18 + 2(2)π/3

π/18 + 2(3)π/3

π/18 + 2(5)π/3

π/18 + 2(99999999)π/3

.....

so using the "k" as some sequence multiplier, is a generic notational way to say, "all these angles".

you'll also find that "n" is used as well for the same notation, say for example

2π/3 + 2πn.

8 0

3 years ago

2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

<u>Slope:</u>

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

<u>Slope:</u>

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

4 years ago

The formula for the cost of buying a car is:

Mice21 [21]

Answer:

a) The cost of buying this car is of £6200.

b) The monthly payment is of £450.

Step-by-step explanation:

The cost of buying a car is given by:

cost = 12 X monthly payment + deposit

a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.

cost = 12*350 + 2000 = 4200 + 2000 = 6200

The cost of buying this car is of £6200.

b) The cost of another car is £8000. Find the monthly payment when the deposit is £2600.

Again, the formula is applied. So

cost = 12 X monthly payment + deposit

8000 = 12x + 2600

12x = 5400

x = 5400/12

x = 450

The monthly payment is of £450.

7 0

3 years ago

Please help it's mathswatch so need reason I will mark u brainliests help please

Orlov [11]

Answer:

angle BAD = 180 -2x

angle BCD = x given

angle BCD is an inscribed angle

angle DOB = 2 (angle BCD)

angle BAD = 180 -angle DOB 2 tangent theorem

5 0

3 years ago