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lara [203]
3 years ago
11

Hannah has $500. She buys a camera for $435 and 4 other items for $9 each. Now Hannah wants to buy speakers for $50. Does she ha

ve enough money to buy the speaker?
Mathematics
1 answer:
Mariana [72]3 years ago
5 0

Answer:

she does not have enough money to buy the speaker

Step-by-step explanation:

Hannah has $500. She buys a camera for $435 and 4 other items for $9 each. Now Hannah wants to buy speakers for $50.

camera for $435

4 items $9 each , 4 times 9 = 36

then buys speaker for $50

435 +36+50=521

Hennah has only $500

but she needs 521 to buy all these things

So she does not have enough money to buy the speaker

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Step-by-step explanation:

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  • ∠ACM≅∠BCM - given

<u>CM⊥AB - given, therefore</u>

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<u>Then</u>

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3 years ago
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Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs
Dafna11 [192]

Answer:

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Step-by-step explanation:

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2 years ago
Pls who can solve this asap​
andrew-mc [135]

Answer:

the radius    1 < r < 3, so  r = 1.39

Step-by-step explanation:

notice that you have 3 cm radius for the big circle

r radius for small

and you have this rectangle with dimension  6 cm by 8cm

so if you can imagine the radius segments moving into vertical and horizontal position

there are two boxes...  6cm by 6cm  and 2r by 2r,  but  6cm + 2r is not 8cm

diagonal of rectangle = root(8*8 + 6*6)  = 10 cm

diagonals intersect at  ((0 + 8)/ 2,  (0 + 6) / 2)= (4, 3) but center of big circle at (3, 3)

It appears that the point (4, 3) is on the diagonal but does not go through the centers of the circles.  but I do see

slope of diagonal is 3/4  so   if  rise is  2r, then   the run.

(2r/x) = 3/4

(4/3)* 2r = x

equation of diagonal :   y = (3/4)x + 0    if the bottom left is (0,0)

equation of circle r :     (x - (8-r))^2 + (y - (6 - r))^2 = r*r

---------

Use a trig function to find the length of this line segment from the center of the big circle to the intersection of the small circle.  

The triangle  has lengths  1 cm , 3cm and a segment called x

x = line segment from the center of the big circle to the intersection of the small circle.

the angle between 1cm and x  is 180 -  arctan (3/4)  = 180 - 36.8698 deg.

=143.1302 degrees

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c^2 = 10 - 6 cos (81.8698)

c^2 =  9.15146173

c = 3.0251383  units

ok so we know the diagonal is  10

the distance from the intersection to the corner is  10 - 5 - 3.0251383

= 1.9748616 units

we can say  1.9748  =  root(2) * r

so  that  r =  1.9748 / root(2)

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Answer:

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