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Mekhanik [1.2K]
3 years ago
10

Hey i need help solving these and not just the answer i really would like to know how

Mathematics
1 answer:
Mars2501 [29]3 years ago
3 0
Hello,

1)
Let's put some name of vertex:
A with angle A=45°
B with angle B=90°
C The 3 vertex of the triangle of left.
AC=9 , y=AB=BC
With Pythagore, we can say: y²+y²=9²==>2y²=81===>y=9/√2=9√2/2

The other triangle is BDC: cos(60°)=x/y==>x=y*1/2=9√2/4

2)
Let's give some names:

A with angle A=60°
B with angle B=90
C the 3th vertex of the  left triangle.
AB=10, BC=y
tan 60°=y/10=sin(60°)/cos(60°)=(√3/2)/(1/2)=√3==>y=10√3

D is the 3 th vertex of the  right  triangle.
We use Pythagore: y²+y²=x²
x²=2*(10√3)²===>x=10*√6

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Hey:) can you please help me posted picture of question
Kryger [21]
To expand the given expression we proceed as follows:
(6x²-2x-6)(8x²+7x+8)
=6x²(8x²+7x+8)-2x(8x²+7x+8)-6(8x²+7x+8)
=48x⁴+42x³+48x²-16x³-14x²-16x-48x²-42x-48
putting like terms together:
48x⁴+(42x³-16x³)+(48x²-48x²)+(-16x-42x)-48
=48x⁴+26x³+0x²-58x-48
hence the answer is:
48x⁴+26x³-58x-48
6 0
3 years ago
Which statement best explains the relationship between
-Dominant- [34]

Answer: They are not perpendicular because their slopes are  not negative reciprocals.

Step-by-step explanation:

For these two lines to be perpendicular, their slopes have to be negative reciprocals.

Slope of FG.

F = (-4, 1)

G = (0, -2)

= (Y₂ - Y₁) / (X₂ - X₁)

= (-2 - 1) / (0 + 4)

= -3/4

Slope of HJ

J = (0 , 4)

H = (-4, -2)

Slope =  (Y₂ - Y₁) / (X₂ - X₁)

= (-2 - 4) / (-4 -0)

= 6/4

= 3/2

<em>The slopes of these lines are not negative reciprocals so these lines are not perpendicular. </em>

4 0
3 years ago
Find area of a quadrant of a circle whose radius is 3.5 cm.
kati45 [8]

Area of full circle= πr^2

Area of a quadrant= πr^2/4

=(3.5)^2π/4

=12.25π/4

=3.06πcm squared.

4 0
3 years ago
Convert to quarts: 10 pints
Ad libitum [116K]

Answer:

B

Step-by-step explanation:

Pints and Quarts are measures of volume. The relationship between them is rather simple.

We know 2 pints = 1 Quart

The problem gives us the number of pints and we need to find the number of quarts. From the relationship, we see that "pints divided by 2 will give us quarts"

Given >> 10 pints

Hence, number of quarts would be 10/2 = 5

Hence 10 pints = 5 quarts

Answer choice B is right.

8 0
3 years ago
25 out of 27 as a percentage
Basile [38]
25/27 = 0.925925925...

It's almost equal to 1 and it turns out that 1 is 100%.

So, we'd say that it's equal to:

92.59% (to 2 decimal places)

We've multiplied the value above (25/27) by 100.
8 0
3 years ago
Read 2 more answers
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