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3 years ago

Ms. Roth has made 200 headbands and is deciding what price to charge for them.

Mathematics

1 answer:

vodomira [7]3 years ago

5 0

Answer:

I THINK:

There will be 8 grams left after 36 minutes.

Step-by-step explanation:

A half-life is how long it takes for half of the amount to go away. in this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.

36mins/16mins = 2 half lives.

now we can raise 1/2 to the power of how many half lives we have (2). then we multiply that by the amount in the sample.

(1/2)^2 * 36

1/4 * 36

8 grams

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. Kite QRST has a short diagonal of QS and a long diagonal of RT. The diagonals intersect at point P. Side QR = 17m, diagonal QS

trapecia [35]

Answer:

495 meter²

Step-by-step explanation:

In the given kite QRST,

PQ = PS = 15 meter

QR = 17 meter

We have to find the area of the kite.

Since kite is in the form of a rhombus.

and rhombus is = $\frac{1}{2}$ (Diagonal QS) × (Diagonal RT)

In Δ QRP,

17² = 15² + RP²

$\sqrt{17^{2}-15^{2}} = RP$

$RP=\sqrt{289-225}$

= √64 = 8 meters.

So RT = RP + PT = 8 + 25 = 33 meter.

Now area of kite = $\frac{1}{2}$ (30) (33) = 495 meter²

6 0

3 years ago

How do I solve for x

Alchen [17]

Greetings!

To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
$a^2+b^2=c^2$

Input the information from the diagram into the formula:
$(x)^2+(x+7)^2=(13)^2$

Expand each term:
$(x)^2+(x+7)^2=(13)^2$

$x^2+((x+7)(x+7))=169$

$x^2+(x(x+7)+7(x+7))=169$

$x^2+x^2+7x+7x+49=169$

Combine like terms:
$2x^2+14x+49=169$

Add -169 to both sides:
$(2x^2+14x+49)+(-169)=(169)+(-169)$

$2x^2+14x-120=0$

Factor out the Common Term (2):
$2(x^2+7x-60)=0$

Factor the Complex Trinomial:
$2(x^2-5x+12x-60)=0$

$2(x(x-5)+12(x-5))=0$

$2(x-5)(x+12)=0$

Set Factors to equal 0:
$x-5=0$

$x=5$

or

$x+12=0$

$x=-12$

However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)

The Solution Is:
$\boxed{x=5}$

I hope this helped!
-Benjamin

6 0

3 years ago

What is the angle measurement of angle P?

Solnce55 [7]

Answer:

Step-by-step explanation:

p = 180 - [ 360 - ( 130 + 110 ) ]

= 180 - [ 360 - 240 ]

= 180 - 120

p = 60

5 0

2 years ago

Graph the line represented by the equation.

harina [27]

Answer:

Step-by-step explanation:

first you need to put the equation in y=mx+b form

y-3=(-1/2)(x+4)

y-3= (-1/2x)+4

y=-1/2x+1

then you just graph

the y intercept is 1 and the slope is -1/2 so it’s going to be a negative graph and it starts from 1 on the y axis

5 0

3 years ago

Help me with this problem 9x-(2x+8)=. And show your work? I'll be giving BRAINILEST!

kykrilka [37]

So first, you want to open the parenthesis here.

So, to do that, first look at the symbol before the parenthesis.

In this case it's a -.

So when it's a -, reverse the symbol inside the parenthesis. (This is because if you don't you're subtracting 2x and then adding 8, when really you're subtracting both 2x and 8.)

So,

9x - 2x - 8

Or simplified,

7x - 8

4 0

3 years ago

Read 2 more answers