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2 years ago

Draw and label all three side lengths and angle measures of a right triangle that has a 40° angle and a hypotenuse 10 cm long.

Mathematics

1 answer:

Elodia [21]2 years ago

4 0

Answer:

Right Triangles and the Pythagorean Theorem

1.The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.

2.The side opposite the right angle is called the hypotenuse (side c in the figure).

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adell [148]

The answer to the question

4 0

2 years ago

Can anyone help me??

Tasya [4]

Your in luck! I was just learning these percent things today 'xD but Not in luck at the same time. I will answer the 2 questions that's the most I can do.

1. $17.50 with a 7% sales tax

Answer: 17.50 times .07 equals 1.23

17.50 plus 1.23 equals 18.73

The answer is $18.73

2. 21.95 with a 4.25% sales tax

Answer: 21.95+4.25=26.20

Hope this helps!! :D this took me a while to figure out and used a bit of my time. So I hope the time was worth it! :)

5 0

3 years ago

Which of the following sets are subspaces of R3 ?

Ratling [72]

Answer:

The following are the solution to the given points:

Step-by-step explanation:

for point A:

$\to A={(x,y,z)|3x+8y-5z=2} \\\\\to for(x_1, y_1, z_1),(x_2, y_2, z_2) \varepsilon A\\\\ a(x_1, y_1, z_1)+b(x_2, y_2, z_2) = (ax_1+bx_2,ay_1+by_2,az_1+bz_2)$

$=3(aX_l +bX_2) + 8(ay_1 + by_2) — 5(az_1+bz_2)\\\\=a(3X_l+8y_1- 5z_1)+b (3X_2+8y_2—5z_2)\\\\=2(a+b)$

The set A is not part of the subspace $R^3$

for point B:

$\to B={(x,y,z)|-4x-9y+7z=0}\\\\\to for(x_1,y_1,z_1),(x_2, y_2, z_2) \varepsilon B \\\\\to a(x_1, y_1, z_1)+b(x_2, y_2, z_2) = (ax_1+bx_2,ay_1+by_2,az_1+bz_2)$

$=-4(aX_l +bX_2) -9(ay_1 + by_2) +7(az_1+bz_2)\\\\=a(-4X_l-9y_1+7z_1)+b (-4X_2-9y_2+7z_2)\\\\=0$

$\to a(x_1,y_1,z_1)+b(x_2, y_2, z_2) \varepsilon B$

The set B is part of the subspace $R^3$

for point C: $\to C={(x,y,z)|x$

In this, the scalar multiplication can't behold

$\to for (-2,-1,2) \varepsilon C$

$\to -1(-2,-1,2)= (2,1,-1)$ ∉ C

this inequality is not hold

The set C is not a part of the subspace $R^3$

for point D:

$\to D={(-4,y,z)|\ y,\ z \ arbitrary \ numbers)$

The scalar multiplication s is not to hold

$\to for (-4, 1,2)\varepsilon D\\\\\to -1(-4,1,2) = (4,-1,-2)$ ∉ D

this is an inequality, which is not hold

The set D is not part of the subspace $R^3$

For point E:

$\to E= {(x,0,0)}|x \ is \ arbitrary) \\\\\to for (x_1,0 ,0) ,(x_{2},0 ,0) \varepsilon E \\\\\to a(x_1,0,0) +b(x_{2},0,0)= (ax_1+bx_2,0,0)\\$

The $x_1, x_2$ is the arbitrary, in which $ax_1+bx_2$ is arbitrary

$\to a(x_1,0,0)+b(x_2,0,0) \varepsilon E$

The set E is the part of the subspace $R^3$

For point F:

$\to F= {(-2x,-3x,-8x)}|x \ is \ arbitrary) \\\\\to for (-2x_1,-3x_1,-8x_1),(-2x_2,-3x_2,-8x_2)\varepsilon F \\\\\to a(-2x_1,-3x_1,-8x_1) +b(-2x_1,-3x_1,-8x_1)= (-2(ax_1+bx_2),-3(ax_1+bx_2),-8(ax_1+bx_2))$

The $x_1, x_2$ arbitrary so, they have $ax_1+bx_2$ as the arbitrary $\to a(-2x_1,-3x_1,-8x_1)+b(-2x_2,-3x_2,-8x_2) \varepsilon F$

The set F is the subspace of $R^3$

5 0

2 years ago

A package of 4 pairs of insulated gloves cost 35.96

tino4ka555 [31]

Answer:

You need to add more to this question but I am assuming you want to know how much each pair of gloves is?

Step-by-step explanation:

Divide 35.96 by 4

35.96÷4= $8.99 per pair of insulated gloves

6 0

2 years ago

The hat company received a shipment of 60 novelty baseball caps. Of the caps, 1/3 had bug antenna, 2/5 had moose antlers, and th

levacccp [35]

Answer:

18 plastic propellers, 18 Bug Antenna, 24 moose antlers,

Step-by-step explanation:

When we multiply our total sum of 60 by certain decimal values by converting the factions to decimals we can get each type of hats count.

1/3 works out to be 0.30

60×0.3 = 18

2/5 works out to be 0.40

60×0.4 = 24

To find out the remaining amount that is plastic propellers you subtract the added hats and the total value.

60 - (18 + 24)

60 - 42

6 0

2 years ago