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3 years ago

What is the measurement of BC to the nearest centimeter?

Mathematics

1 answer:

77julia77 [94]3 years ago

7 0

Answer:

a 8

Step-by-step explanation:

You are given two sides and the included angle. Since you don't have any side and the opposite angle, you must use the law of cosines.

$a^2 = b^2 + c^2 - 2bc\cos A$

$a^2 = 5^2 + 11^2 - 2(5)(11)\cos 39^\circ$

$a^2 = 25 + 121 - 110\cos 39^\circ$

$a^2 = 60.51$

$a = 7.779$

Answer: a = 8 cm

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The sum of the areas of two circles is 80 pie square meters. Find the length of a radius of each circle if one of them is twice

Svetach [21]

Answer:

The radius of the circles are $4\ m$ and $8\ m$

Step-by-step explanation:

Let

x-----> the radius of larger circle

y----> the radius of smaller circle

we know that

$\pi x^{2} +\pi y^{2}=80\pi$

$x^{2} +y^{2}=80$ -----> equation A

Remember that

$x=2y$ -----> equation B

substitute equation B in equation A and solve for y

$(2y)^{2} +y^{2}=80$

$4y^{2} +y^{2}=80$

$5y^{2}=80$

$y^{2}=16$

$y=4\ m$

Find the value of x

$x=2y$

$x=2(4)=8\ m$

therefore

The radius of the circles are $4\ m$ and $8\ m$

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3 years ago

Tiffany is sending a package that may not exceed 16 pounds. the package contains books that weigh a total of 9 3/8 pounds. the o

babunello [35]

Yes Tiffany will be able to

5 0

3 years ago

Use the net to compute the surface area of the three-dimensional figure. A) 210 units B) 225 units C) 240 units D) 280 units

11111nata11111 [884]

The answer would most commonly be C only because a square is 360 degrees and the surface area would be a 6th of that which is 60 then i multiplied it by 4 because of the four corners signaling the height and or length of the 2D figure square which gives me C.

5 0

3 years ago

List the first 10 multiples for each number 3,4,7

notka56 [123]

Answer:

Step-by-step explanation:

3- 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

4- 4, 8, 12, 16, 20, 24, 28, 32, 36, 40

7- 7, 14, 21, 28, 35, 42, 49, 56, 63, 70

HOPE IT HELPED

3 0

3 years ago

Read 2 more answers

What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?

makkiz [27]

Answer:

118°

Step-by-step explanation:

When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.

Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.

Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.

(5x + 17) + (15x - 17) = 180

5x + 15x + 17 - 17 = 180

20x = 180

20x/20 = 180/20

x = 9°

Nkw let's substitute x = 9 into the equations

5x + 17 =

5(9) + 17 =

= 62°

15x - 17 =

15(9) - 17 =

= 118°

Both equations should add up to be 180°.

Therefore the measure of the largest angle is 118°.

6 0

3 years ago