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vfiekz [6]
2 years ago
14

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 inches.

He will make the "X" by stretching red ribbon diagonally from corner to corner. How many inches of ribbon will Peter need to make the "X"? Round your answer to the nearest inch.
Mathematics
1 answer:
Nataly_w [17]2 years ago
7 0
To answer this question you can use the Pythagorean Theorem Which states that a squared plus b squared equals c squared. C is the hypotenuse of a triangle (one of the diagonals forming the X). The hypotenuse is the side directly across from the right angle. A and b are both 12, so 12 squared plus 12 squared is 288. To solve for c, find the square root of 288, which is approximately 17 inches. Double this (one for each line in the X and you need approximately 34 inches of ribbon. Always label your answers!
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The second power of (8---3)?
Mkey [24]
The second power is a 8 over three
7 0
2 years ago
The daily recommended allowance of vitamin C for a sixth grader is 45 mg. 1 orange has about 75% of the recommended daily allowa
Elden [556K]

Answer:

  about 33.75 mg

Step-by-step explanation:

75% of 45 mg is ...

  0.75 × 45 mg = 33.75 mg

About 33.75 mg of vitamin C are in one orange.

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You might be asked to round this to 34 mg.

3 0
2 years ago
Find the area of the surface. the part of the hyperbolic paraboloid z = y2 − x2 that lies between the cylinders x2 + y2 = 4 and
Nadusha1986 [10]
Call the surface S; then the area of S is given by the surface integral

\displaystyle\iint_S\mathrm d\mathbf S

Parameterize the surface by

\mathbf r(u,v)=\begin{cases}x(u,v)=u\cos v\\y(u,v)=u\sin v\\z(u,v)=u^2\cos^2v-u^2\sin^2v=u^2\cos2v\end{cases}

with 2\le u\le4 and 0\le v\le2\pi. The surface element is given by

\mathrm d\mathbf S=\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv
\mathrm d\mathbf S=u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv

So the area is

\displaystyle\iint_S\mathrm d\mathbf S=\int_{v=0}^{v=2\pi}\int_{u=2}^{u=4}u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv
=\displaystyle2\pi\int_{w=17}^{w=65}\sqrt w\,\frac{\mathrm dw}8

where w=1+4u^2\implies\mathrm dw=8u\,\mathrm du

=\displaystyle\frac\pi4\frac23w^{3/2}\bigg|_{w=17}^{w=65}
=\dfrac\pi6\left(65^{3/2}-17^{3/2}\right)\approx237.69
8 0
3 years ago
An orange is shot up into the air with a catapult. The function h given by
Mrrafil [7]

Answer:

Velocity = 59 feet/second

Step-by-step explanation:

h(t) = 15 + 60t – 16t2

Time t = 1 second

Let's substitute time into the equation to get the distance

h(t) = 15+60(1)-16(1)²

h(t) = 15 + 60 - 16

h(t) = 59 feet

Speed or velocity = distance/time

Distance = 59 feet

Time = 1 second

Velocity = 59/1

Velocity = 59 feet/s

7 0
3 years ago
Which are correct representations of the inequality -3(3x-5)<5(2-x)
lions [1.4K]

Answer: x > 5/-4

Step-by-step explanation:

4 0
2 years ago
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