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Katarina [22]
2 years ago
11

Find the area of the figure

Mathematics
1 answer:
sweet [91]2 years ago
4 0

Answer:

[See Below]

Step-by-step explanation:

✦ In this figure there are two shapes; A triangle and a square. So you'll need to know the area formula for both:

  ✧ Square ∼ s² (Side Squared)

  ✧ Triangle ∼ ½ × b × h

✦ So now just solve for each area:

  ✧ Square ∼ 15² = 225

  ✧ Triangle ∼  ½ × 15 × 3 = 22.5

✦ Now add each area together to get the total area:

  ✧ 225 + 22.5 = 247.5

~<em>Hope this helps Mate. If you need anything else feel free to message me. </em>

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A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?
DENIUS [597]

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals 2.20\times 10^{8}\,Pa. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (\sigma), measured in pascals, in the wire with circular cross-section is:

\sigma = \frac{4\cdot F}{\pi\cdot D^{2}} (1)

Where:

F - Axial force, measured in newtons.

D - Cross-section diameter, measured in meters.

Please notice that axial force is the weight of the man hanging from wire.

If we know that F = 800\,N and D = 0.002\,m, then the axial stress experimented by the titanium wire is:

\sigma = \frac{4\cdot (800\,N)}{\pi\cdot (0.002\,m)^{2}}

\sigma \approx 2.546\times 10^{8}\,Pa

Since stress is greater than ultimate strength, the wire will break.

3 0
3 years ago
Jon is paid $20 to mow his neighbor's yard. It takes three hours to mow and $2 worth of gasoline. How much does Jon earn per hou
noname [10]
Jon earns 6 dollars per hour.

We know this because, if he gets paid $20 and buys $2 worth of gasoline, his profit is $18.

Then, we divide 18 by the number of hours he worked, 3, and thus, Jon earns $6/hr.
3 0
3 years ago
Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ &lt; 0.
kumpel [21]

Answer:

Part 1) sin(\theta)=\frac{2}{3}

Par 2) cos(\theta)=-\frac{\sqrt{5}}{3}

Part 3) tan(\theta)=-\frac{2\sqrt{5}}{5}

Step-by-step explanation:

step 1

Find the sin(\theta)

we have

csc(\theta)=\frac{3}{2}

Remember that

csc(\theta)=\frac{1}{sin(\theta)}

therefore

sin(\theta)=\frac{2}{3}

step 2

Find the cos(\theta)

we know that

sin^{2}(\theta) +cos^{2}(\theta)=1

we have

sin(\theta)=\frac{2}{3}

substitute

(\frac{2}{3})^{2} +cos^{2}(\theta)=1

\frac{4}{9} +cos^{2}(\theta)=1

cos^{2}(\theta)=1-\frac{4}{9}

cos^{2}(\theta)=\frac{5}{9}

square root both sides

cos(\theta)=\pm\frac{\sqrt{5}}{3}

we have that

cos(\theta) < 0 ---> given problem

so

cos(\theta)=-\frac{\sqrt{5}}{3}

step 3

Find the tan(\theta)

we know that

tan(\theta)=\frac{sin(\theta)}{cos(\theta)}

we have

sin(\theta)=\frac{2}{3}

cos(\theta)=-\frac{\sqrt{5}}{3}

substitute

tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}

Simplify

tan(\theta)=-\frac{2\sqrt{5}}{5}

6 0
3 years ago
Solve for d.<br> -4d + 7 = 3d
STALIN [3.7K]

Step-by-step explanation:

The Answer Is

-4d + 7 = 3d

So, 7 = 3d + 4d

Then, 7 = 7d

•d = 7/7

= 1

So D = 1.

4 0
2 years ago
Help please desperate!!
zhenek [66]

Answer:

Step-by-step explanation:

V=\pi r^2h\\=\pi *4^2*3\\=48\pi

7 0
3 years ago
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