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leva [86]
3 years ago
11

Shortest distance from the base of parallelogram to its opposite side is the

Mathematics
1 answer:
Wittaler [7]3 years ago
3 0
I believe the answer is height
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Find the interval(s) of upward concavity on this accumulation function.
maxonik [38]

\displaystylef(x)=\int_{0}^{x^2}\sec^2(\sqrt{x})dx \\=\int_{0}^{\sqrt{x^2}}\sec^2(u)\cdot2udu \\=2\int_{0}^{\sqrt{x^2}}\sec^2(u)du \\=2\Big[u\tan(u)-\int\tan(u)du\Big]_{0}^{\sqrt{x^2}} \\=2\Big[u\tan(u)+\ln\Big(\mathrm{abs}(\cos(u))\Big)\Big]_0^x \\=2\Big(x\tan(x)+\dfrac{1}{2}\ln\Big(\cos^2(x)\Big)\Big) \\=2x\tan(x)+\ln(\cos^2(x))

Hope this helps.

6 0
3 years ago
A tower casts a shadow that is 60 feet long when the angle of elevation of the sun is 65˚. How tall is the tower? Round answer t
r-ruslan [8.4K]

Answer: Tthe tower is 129 feet tall.

Step-by-step explanation:

According to trigonometry in a right triangle:

\tan\theta =\dfrac{\text{Side opposite to }\theta}{\text{Side adjacent to }\theta}

Let x be the height of the tower.

Given , \theta=65^{\circ}

Since tower stands vertical to the ground, that means it is making a right triangle with the shadow.

\tan 65^{\circ}=\dfrac{x}{60}\\\\\Rightarrow\ 2.1445=\dfrac{x}{60}\ \ \text{[Using calculator]}\\\\\Rightarrow x= 2.1445\times60=128.67\approx129\text{ feet}

Hence, the tower is 129 feet tall.

3 0
2 years ago
A running store offers a 15% discount on
Rudik [331]

Answer:

The cost of each pair of shoes before the discount=$67.65

Step-by-step explanation:

Step 1

Use the expression below to determine original cost of the 2 pairs of shoes as follows;

A=O-R

where;

A=total bill after discount

O=original cost of 2 pairs of shoe

R=discount amount

In our case;

A=$110.50

O=unknown=x

R=15% of O=(15/100)×x=0.15 x

replacing;

115=x-0.15 x

115=0.85 x

x=115/0.85

x=135.294

Original cost of the 2 pairs of shoes=$135.294

Original cost of a pair of shoes=135.294/2=$67.65

The cost of each pair of shoes before the discount=$67.65

8 0
3 years ago
What is 0+9+2 times 8
Anni [7]

Answer:

That would be 88!

Step-by-step explanation:

5 0
3 years ago
Can I please get with the last math question??
Katyanochek1 [597]

Elww Mate..........

.........

4 0
2 years ago
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