MATHEMATICS HIGH SCHOOL

The figure shows eight congruent triangles made by dividing a square that has an area of 64 cm2. What is the area of ABH? A. 20 cm2

B. 16 cm2

C. 8 cm2

D. 6 cm2

E. 4 cm2

Answers

Answer 1

Answer:

The answer is C) 8 cm squared.

That is because 64/8 = 8 cm squared. Hope this helps!!!

Answer 2

Answer:

Answer:

C. 8 cm2

Step-by-step explanation:

If the big square is 64 cm2, then each side is 8 cm (8cm x 8cm = 64 cm2)

Each of the small squares then has both sides of half the side of the big one, then, each small square has 4cm x 4cm = 16 cm2

Ihen, each small triangle's area (such as ABH) is (b.h)/2, being the base and the height equal to the sides of the small square. Each small triangle is (4cm x 4cm)/2=8cm2

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Assign two variables for each problem, and write the equations. Do not solve.In the Alice High School band, the number of trumpet players is 4 times the number of French horn players. There are 35 trumpet and French horn players in the band. How many people play the trumpet?

Answers

Call the number of trumpet players "T" and the number of horn players "H".

We can use the given information to set up equations:

1."the number of trumpet players is 4 times the number of French horn players"
$T=4H$

2. "There are 35 trumpet and French horn players in the band."
$T+H=35$

If you were asked to solve you could now do it by substitution:
$4H+H=35$
$5H=35$
$H=7$
$T=4H$
$T=4(7)$
$T=28$

What is the approximate distance between Portland, Oregon (45° north, 122° west), and San Francisco, California (37° north, 122° west). Use 3,960 miles for the radius of Earth.258 miles

553 miles

720 miles

1,346 miles

Answers

From the given data in the problem, the longitude is essentially the same, and using the coordinates, the locations are 8° apart. The 8° is 8/360 of the circumference of the circle. The circumference is 2π • 3960. Substituting, (8 • 2π • 3960) / 360 = 4π • 44 = 553 miles. Thus, option B is the answer.

The correct answer is

553 miles

What’s the slope? And can you please explain I don’t get it

Answers

As we can see, the line crosses the x-axis at (-2, 0). If we climb three units up from -2 and then go one unit to the right, we arrive at the next point on the line.

Since we climbed three points and went to the right one point, our slope = 3/1. But, we can reduce that.

Slope = 3/1 = 3

Answer:

The slope is 3.

Step-by-step explanation:

The way to find the slope is to find how many blocks/number it went up and to the side. The number of blocks it went up on the y-axis, in this case, is 3 and it went along the x-axis once. In order to actually find the slope, you need to put the y over the x. So, 3/1 is equal to three, so the slope of this line is 3

Which statement is true about a line and a point

Answers

A point is a location and a line has points on it.

well a point is a location and a line has many points located on it, I hope that answered your question or is close to one of the choices

Prove the identity: cos(3x) + cos(x) = 2cos(2x)cos(x)I'm almost done with my homework, just got stuck on this one.

Answers

$cos \alpha +cos \beta =2\cdot cos ( \alpha + \beta )/(2) \cdot cos ( \alpha - \beta )/(2)\n-----------------\n\n \alpha =3x\ \ \ and\ \ \ \beta =x\n\n$

$L=cos \alpha +cos \beta =cos(3x)+cos(x)\n\n\Rightarrow\ \ \ 2\cdot cos ( \alpha + \beta )/(2) \cdot cos ( \alpha - \beta )/(2)=2\cdot cos (3x+x)/(2) \cdot cos (3x-x)/(2) =\n\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =2\cdot cos (4x)/(2) \cdot cos (2x)/(2) =\n\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =2\cdot cos(2x)\cdot cos (x)=R$

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