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Korolek [52]
3 years ago
14

Adrian has 75 coins consisting of quarters and dimes. The combined value of the coins is $10.20. How many of each type of coin d

oes he have.
Mathematics
1 answer:
Sergio [31]3 years ago
6 0

Answer:

40 quarters and 2 dimes

Step-by-step explanation:

I did .25 (the amount of a quarter) and put it into a calculator adding.25 untill I got to 10 and then just 2 dimes bc 10+10 is 20

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A 26-foot long ladder is leaning against a building at a 60 degree angle with the ground.
Anvisha [2.4K]
A. 

csc is equal to the opposite divided by the hypotenuse. 
8 0
4 years ago
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An anthropologist studies a woman's femur that was uncovered in Madagascar. To estimate the woman's height, he uses the equation
Lelu [443]

Answer:

The inequality f>40 represents the length of the femur for which the woman had a height greater than 160cm.

Step-by-step explanation:

The given equation is

h=60+2.5f

Where, h is woman's height in centimeters and f is length of the femur in centimeters.

If woman's height is greater than 160cm, then

h>160

60+2.5f>160

Substract 60 from both sides.

2.5f>100

Divide both sides by 2.5.

f>40

Therefore the inequality  f>40 represents the lengths of the femur for which the woman had a height greater than 160cm.

5 0
4 years ago
What is the equation of the graph below?
oee [108]

Answer:

B) y=-(x-3)^{2}+2

Step-by-step explanation:

We are given,

The graph of the parabola opens downwards.

This means that the leading co-efficient of the function will be negative.

So, options C and D are not possible.

Moreover, it is given that the graph cuts x-axis near 1\frac{1}{2} i.e. \frac{3}{2} = 1.5 and 4\frac{1}{2} i.e. \frac{9}{2} = 4.5.

i.e. At y=0, the value of x is near \frac{3}{2} and \frac{9}{2}.

A. So, in y=-(x+2)^{2}+2, we put y =0.

i.e. (x+2)^{2}=2

i.e. x=-2\pm \sqrt{2}

i.e. x = 0.68 and x = 3.41

We see that this does not crosses the x-axis at the given points.

So, option A is wrong.

B. Also, in y=-(x-3)^{2}+2, we put y =0.

i.e. (x-3)^{2}=2

i.e. x=3\pm \sqrt{2}

i.e. x = 1.68 and x = 4.41.

Thus, this equation cuts the x-axis near the given points i.e. 1.5 and 4.5.

Hence, the equation of the given graph is y=-(x-3)^{2}+2.

8 0
3 years ago
(Pts: 1) Please help me! Question is in attachment!
Sloan [31]
- - Solve:

To find the volume of a sphere:
 \frac{4}{3} *3.14*R^3

3.14≈π

Now since its telling us to use π, then we do our formula by multiplying by π.

π=3.14 (Approximate amount)

So:

4/3*3.14*9^3=3052.08

So you are correct.

When Radius=9, you plug in for R. :)

8 0
4 years ago
Read 2 more answers
PLEASE HELP !!!!!!!!!!!!
Snowcat [4.5K]

Answer:

The ball will reach the same height of 10 meters after 100 meters.

Part A)

100 meters.

Part B)

10 meters.

Step-by-step explanation:

The golf-ball hit by the Seven-Iron is modeled by the equation:

h=-0.002d^2+0.3d

And the ball hit by the Nine-Iron is modeled by the equation:

h=-0.004d^2+0.5d

Where <em>h</em> is the height of the ball after <em>d</em> meters.

When they are at the same height, the two equations will equal each other.

Graphically, this is where the two graphs will intersect.

To solve this using a Ti-84, you can follow these steps (I'm using the Ti-84 Plus Silver Edition):

1) Using [Y=], write and then [GRAPH] the two equations.

2) Press [ZOOM] and [ZOOM OUT] until you can see both graphs clearly.

3) To find the intersection point, press [2ND] and then [CALC] (above [TRACE]).

4) Choose [5) Intersect].

5) Using the arrow keys, click on one graph to choose it as your first curve and the other to choose it as your second curve. (In this case, it doesn't matter which one is which.)

6) When it asks you to guess, put the cursor to as close to the intersection point as possible. Ignore the intersection at the origin point.

7) Press [ENTER], and it should give you your solution.

Therefore, the intersection point (not counting (0,0)) is at (100, 10).

Therefore, the ball will reach the same height of 10 meters after 100 meters.

7 0
3 years ago
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