Answer:
60 cm
Step-by-step explanation:
there's alot of ways you can split up the shape but
15x2=30
5x3=15
5x3=15
30+15+15=60
Just dot upward every week because she saves $5 till you hit $70 in 9 more weeks.!!
Answer:
![\boxed{\sf B)\: x=\sqrt{17}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%20B%29%5C%3A%20x%3D%5Csqrt%7B17%7D%7D)
Step-by-step explanation:
<u>Use the Pythagorean Theorem</u>
The equation for the Pythagorean Theorem is ![\tt a^2+b^2=c^2](https://tex.z-dn.net/?f=%5Ctt%20a%5E2%2Bb%5E2%3Dc%5E2)
* a and b are the lengths of the legs, and c is the hypotenuse.*
(To know which side is the hypotenuse look at longest side which is across the right angle).
a= x, b=8, c=9
![\sf a^2+b^2=c^2](https://tex.z-dn.net/?f=%5Csf%20a%5E2%2Bb%5E2%3Dc%5E2)
Let's Plug in the side lengths:
![\sf x^2+8^2=9^2](https://tex.z-dn.net/?f=%5Csf%20x%5E2%2B8%5E2%3D9%5E2)
Evaluate 8^2 and 9^2:
![\sf x^2+64=81](https://tex.z-dn.net/?f=%5Csf%20x%5E2%2B64%3D81)
Subtract 64 from both sides:
![\sf x^2+64-64=81-64](https://tex.z-dn.net/?f=%5Csf%20x%5E2%2B64-64%3D81-64)
![\sf x^2=17](https://tex.z-dn.net/?f=%5Csf%20x%5E2%3D17)
Take the square root of both sides:
![\sf x=\sqrt{17}](https://tex.z-dn.net/?f=%5Csf%20x%3D%5Csqrt%7B17%7D)
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Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.
Explanatio: This can be found by looking at the basic form of vertex form:
y = (x - h)^2 + k
In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).
It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3
i hope this helps u
Answer:
- <em><u>5.6875 in</u></em>
Explanation:
At the point of tangency, the <em>tangent </em>to a circle and the <em>radius</em> form a right triangle (the radius is perpendicular to the tangent).
Here you are given the length of the tangent (6in), and the distance from the bisected vertex to the circle (2.75 in)
I tried to upload the drawing but the tool is not allowing it now.
In the figure:
- The length of the tangent (6 in) is one leg of the triangle
- The distance from vertex and the circle (2.75in) along with the radius forms the hypotenuse of the right triangle: 2.75 + r.
- The other leg is the radius, r.
Then, you can use Pythagorean theorem:
Solve:
- r² + 36 = r² + 5.5r + 7.5625
The solution is in inches: r = 5.6875 inches ← answer