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2 years ago

What is the length of the side a ? A=

Mathematics

2 answers:

vodka [1.7K]2 years ago

7 0

Answer:

$a = 5$

Step-by-step explanation:

Notice that $\triangle CDB$ is a right triangle where its hypotenuse is $\overline{CB}$ . We can also see that $a = CB$ . For this we must use the Pythagorean Theorem.

Recall:

The Pythagorean Theorem states that if you have a right triangle, the principal square root of the sum of the squares of each leg is the length the hypotenuse.

We can see that $CD = 3$ and $DB = 4$

$a = \sqrt{CD^2 +DB^2} \\ a = \sqrt{3^2 +4^2} \\ a = \sqrt{9 +16} \\ a = \sqrt{25} \\ a = 5$

lys-0071 [83]2 years ago

3 0

Answer:

Step-by-step explanation:

<h2>carry on learning to ☺️☺️</h2>

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$4.30 for make up; 40% dicount; 6% tax

Wittaler [7]

$4.30X40%=1.72
4.30-1.72=2.58
2.58X6%=.15
2.58+.15=2.73
Final price: $2.73

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2 years ago

Evaluate the integral Find the volume of material remaining in a hemisphere of radius 2 after a cylindrical hole ofradius 1 is d

algol13

You want to find the volume inside the hemisphere $x^2+y^2+z^2=4$ (i.e. inside the sphere but above the plane $z=0$ ) and outside the cylinder $x^2+y^2=1$ . Call this region $R$ .

In cylindrical coordinates, we have

$\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_1^2\int_0^{\sqrt{4-r^2}}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$

$\displaystyle=2\pi\int_1^2 r\sqrt{4-r^2}\,\mathrm dr$

$\displaystyle=-\pi\int_3^0\sqrt u\,\mathrm du$

(where $u=4-r^2$ )

$\displaystyle=\pi\int_0^3\sqrt u\,\mathrm du$

$=\dfrac{2\pi}3u^{3/2}\bigg|_0^3=2\sqrt3\,\pi$

7 0

3 years ago

Last week, the price of apples at a grocery store was $1.60 per pound. This week, apples at the same grocery store are on sale a

DanielleElmas [232]

Answer:

6.48 dollars total,

Step-by-step explanation:

First, you would want to multiply the amount of money per pound, by the amount of pounds. 1.60 multiplied by 4 1/2 or 4.5, would equal to 7.2 dollars. In order to find 10% of 7.2, your would need to multiply 7.2 by 0.10, which would give you 0.72. Then you would subtract 7.2 by 0.72 to get 6.48. So your answer would be 6.48 dollars. Hoped this helped.

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3 years ago

Find the sum of 19x3+1(14x+4x3)

Step2247 [10]

Find the sum of 19x3+1(14x+4x)

The answer is 19x3+4x3=4x.

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3 years ago

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AlekseyPX

Step-by-step explanation:

hi im not sure it's right it was kinda confusing