big ideas integrated 1 chapter 8 test? anyone ?

Answer:

6

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Answer:

Here we want to solve:

(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2

First, remember the two expansions:

(a + b)^2 = a^2 + 2*a*b + b^2

(a - b)^2 = a^2 - 2*a*b - b^2

Using these relations, we can expand:

(cos(A) + sin(A))^2 = cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2

( sin(A) - cos(A))^2 = sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2

Replacing that in our equation, we geT:

(cos(A)^2 + 2*cos(A)*sin(A) + sin(A)^2) + (sin(A)^2 - 2*sin(A)*cos(A) + cos(A)^2) = 2

We can simplify this to get:

2*cos(A)^2 + 2*sin(A)^2 + 2*cos(A)*sin(A) - 2*cos(A)*sin(A) = 2

2*cos(A)^2 + 2*sin(A)^2 = 2

We can take the 2 as a common factor to get:

2*cos(A)^2 + 2*sin(A)^2 = 2*( cos(A)^2 + sin(A)^2) = 2

Now we can divide both sides by 2:

2*( cos(A)^2 + sin(A)^2)/2 = 2/2

cos(A)^2 + sin(A)^2 = 1

And this is a trigonometric property that is true for any value of A.

So the equality:

(cos(A) + sin(A))^2 + ( sin(A) - cos(A))^2 = 2

is true for any real value of A.

Answer: the answer is B: 24ft

Step-by-step explanation: To find how wide the triangle is identify your angles. You have a right angle which is equal to 90° and an angle that measures 46°. Add up both of these angles and you'll get 136°. A triangle can only have three angles that add up to 180. So subtract 180 and 136 you get 44. Multiply the hypotenuse by sin(46) to get the length of the side facing the opposite way of the angle that measures 44°. You will get 11.8 which is about 12. The other triangle is a congruent triangle meaning that it's angles and sides are the same. Add both 12's up and you have 24ft as your width for the cottage.

Answer:

1 3 2

Step-by-step explanation:

OK BESTIE

Answer:

 [tex]Arc \ length = 2\pi r \frac{\theta}{360} =[/tex] 172.3m

Answer:

Your answer is C

Step-by-step explanation:

You should look at the exponent. Once you figure out the difference between the two exponents then you get your answer.

Answer:

5040

Step-by-step explanation:

-1 × -2 × -3 × -4 × -5 × -6 × -7 × -8 = 40320

40320 ÷ 8 = 5040

(not 100% sure this is right)

Answer:

Yes

Step-by-step explanation:

In any triangle, the sum of any two sides must be larger than the third side. To test this, we only actually need to pick the two shorter sides. In this case, the following inequality is true:

[tex]17+37>53,\\54>53,\\\text{True}\:\checkmark[/tex]

Answer:

yoi

Step-by-step explanation:

yoi

Answer:

x = 9

Step-by-step explanation:

tan 53° = 12/x

x = 12/tan 53°

x = 9.04

Answer:

Step-by-step explanation:

- 15, -3, -1, 0 , 1, 5

Answer:

-15,-3,-1,0,1,5

Step-by-step explanation:

Answer:

Hello! answer: 17.6

Hope that helps!

Answer: 1,000 cm^3

Step-by-step explanation:

Volume of cube= bhw

All sides of a cube are equivalent so 10^3= 1000

Answer:

Your answer is 211.8

Step-by-step explanation:

We've made a right triangle so the equation is a²+b² = c²

141²+158² = c²

141²+158² = 44845

Then you square root it

√44845 = 211.8

Answer:

ixbhjshvshsbsjsbjssvisjywysuysrywuwyduysuuehehudh

Answer:

33 cubes

Step-by-step explanation:

The first layer is 5 1/2 x 3 = 16 1/2

Since each cube we're using to fill it is 1/2 unit long/wide, it's easiest to convert 16 1/2 into halves...16 = 32 halves + 1/2 = 33

Answer:

x = -10, x = -6

Step-by-step explanation:

[tex]x^2+16x+60\\(x+10)(x+6)=0\\x=-10,x=-6[/tex]

Answer:

well  its not c so...

Step-by-step explanation:

that'll leave you w 3 others to choose from. sorry.

The series diverges because it does not have a sum option, fourth is correct.

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.

We have an infinite series:

[tex]\rm \sum ^{\infty}_{n=1}\dfrac{3}{4}(2)^n[/tex]

[tex]\rm \sum ^{\infty}_{n=1}3(2)^{n-2}[/tex]

The above series is geometric series with first term 2 and the common ratio is 2.

Here 2>1

By the ratio test, the series is divergent.

Since the common ratio is greater than 1 the sum will be infinite.

Thus, the series diverges because it does not have a sum option, fourth is correct.

Learn more about the convergent of a series here:

brainly.com/question/15415793

#SPJ2

Answer:

3:45pm

Step-by-step explanation:

the reason behind my answer is that in adding all the time they wanted to spend doing things around NYC it totaled 5 hours. 5 hours before 8:45pm is 3:45pm.

Hi there!

»»————-　★　————-««

I believe your answer is:  

X - Intercept: (-9, 0)

Y - Intercept: (0, -6)

»»————-　★　————-««

Here’s why:

The x and y-intercepts of a line is where a given function intercepts the x or y axes.

I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).

Therefore:

[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]

See the graph attached below!

»»————-　★　————-««

Another way to solve this problem is to do this algebraically.

[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]

----------------------------

[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

Answer: CAN U MARK BRAINLIST!!!!! You've probably already seen the basic method for graphing straight lines; namely, make a T-chart, plot some points, put your ruler against them, and draw the line. But the "nice" form of a straight line's equation (being the slope-intercept form, y = mx + b) can make graphing even simpler and faster.

Given two points (x1, y1) and (x2, y2), the formula for the slope of the straight line going through these two points is:

\small{ m = \dfrac{y_1 - y_2}{x_1 - x_2} }m=  

x  

1

​  

−x  

2

​  

y  

1

​  

−y  

2

​  

​  

MathHelp.com

Using Slope and Y-Intercept to Graph Lines on MathHelp.com

Slope-Intercept Form

...where the subscripts merely indicate that we have a "first" point (whose coordinates are subscripted with a "1") and a "second" point (whose coordinates are subscripted with a "2"); that is, the subscripts indicate nothing more than the fact that we have two points that we're working with. Note that which point we pick as the "first" point is irrelevant; if we pick the other point to be "first", the subtractions will be reversed, but we'll still get the exact same value for the slope:

\small{ m = \dfrac{y_2 - y_1}{x_2 - x_1} }m=  

x  

2

​  

−x  

1

​  

y  

2

​  

Answer:

Option B, the y-intercept changes

Explanation:

This is because, the y-intercept is located on the y-axis, which is the vertical axis, moving the graph up and down would mean moving it vertically, therefore this would result in the change of the y-intercept.

Hope this helps!

Answer:

I am not 100% sure but i think it is A.

Answer:Jonathan is incorrect.

Step-by-step explanation:A quadrilateral has 4 straight sides is a four sided shape which means 4 straight sides.The image you have showed me does not have 4 straight sides nor 4 edges nor 4 verticals.So Jonathan is incorrect.

Answer:

The first answer is correct.

Step-by-step explanation:

If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.

Hope that this helps!

Answer:

c

Step-by-step explanation: