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Schach [20]
3 years ago
5

Please help me with #2

Mathematics
1 answer:
zaharov [31]3 years ago
6 0
Let the nomber of 2 pointers be x and that of 3 pointers be y, then
2x + 3y = 30 . . . (1)
x = y + 5 . . . (2)

Putting (2) into (1), gives 2(y + 5) + 3y = 30
2y + 10 + 3y = 30
5y = 30 - 10 = 20
y = 20/5 = 4
x = 4 + 5 = 9
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Two adjacent angles of a rhombus as in the ratio 2:3. Eind all the a angles of the rombus​
Tomtit [17]

Answer:

Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.

Step-by-step explanation:

6 0
2 years ago
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In each of the following pairs of numbers, how much larger is the first number than the second?
lapo4ka [179]

Answer: a. 154 is larger than 27 by 127.

b. 25 is larger than 12 by 13.

c.135 is larger than 127 by 8.

d.46 is larger than 24 by 22.


Step-by-step explanation:

Subtract second number from the first number.

a. 154 and 27

Difference=154-27=127

Hence, 154 is larger than 27 by 127.

b. 25 and 12

Difference=25-12=13

Hence, 25 is larger than 12 by 13.

c. 135 and 127

Difference=135-127=8

Hence, 135 is larger than 127 by 8.

d. 46 and 24

Difference=46-24=22

Hence, 46 is larger than 24 by 22.

4 0
3 years ago
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A submarine traveled to St. Vincent and
Charra [1.4K]

Answer:

how much is 3 dollars

Step-by-step explanation:

how much is 3 dollars and 3 quarters and two dimes and 1 penny

6 0
2 years ago
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Will bought 36 balloons and divided them evenly into 6 groups. How many balloons are in each group? ​
fredd [130]

Answer:

6

Step-by-step explanation:

Since the 36 balloons are being divided evenly into 6 groups, you divide the 36 by 6. Once you do this, you are left with 6.

3 0
3 years ago
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Use the arc length formula to find the length of the curve y = 2 − x2 , 0 ≤ x ≤ 1. Check your answer by noting that the curve is
Lina20 [59]

By using the arc length formula, we will see that the length of the curve is L = 1.48

<h3>How to use the arc length formula?</h3>

Here we have the curve:

y = 2 - x^2   with 0 ≤ x ≤ 1

And we want to find the length of the curve.

The arc length formula for a curve y in the interval [x₁, x₂] is given by:

L  =\int\limits^{x_2}_{x_1} {\sqrt{1 + \frac{dy}{dx}^2} } } \, dx

For our curve, we have:

dy/dx = -2x

And the interval is [0, 1]

Replacing that we get:

L  =\int\limits^{1}_{0} {\sqrt{1 + (-2x)^2} } } \, dx\\\\L  \int\limits^{1}_{0} {\sqrt{1 + 4x^2} } } \, dx\\

This integral is not trivial, using a table you can see that this is equal to:

L = (\frac{Arsinh(2x)}{4}  + \frac{x*\sqrt{4x^2 + 1} }{2})

evaluated from x = 1 to x = 0, when we do that, we will get:

L = \frac{Arsinh(2) + 2*\sqrt{5} }{4}  = 1.48

That is the length of the curve.

If you want to learn more about curve length, you can read:

brainly.com/question/2005046

8 0
2 years ago
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