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Airida [17]
3 years ago
5

Please help me GEOMETRY And please let me know how you solved it thank u!

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0

Answer:

x = 6

Step-by-step explanation:

In the picture :) Hope that helped!

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10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x
ddd [48]
Rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}

\bf \cfrac{4\sqrt{28350x}}{189x}\qquad 
\begin{cases}
28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\
\qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\
\qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\
\qquad 2\cdot (45)^2\cdot 7\\
\qquad 14\cdot 45^2
\end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x}
\\\\\\
\cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}
4 0
4 years ago
In a circle with a radius of 5cm and is centered at point O, angle AOB intercepts arc AB. Arc AB has a length of 10cm. What is t
Elenna [48]
<span>circumference of circle = 2*pi*r given r = 5 so circumference = 31.42 now we know 360 degree is uniformly distributed on this circumference so x/360=10/31.42 so x= 114.65 so option C.) 114.65 is the answer</span>
4 0
3 years ago
A rectangular prism has a length of 18 feet, a height of 14 feet, and a width of 2 feet. What is its volume, in cubic feet?
Fittoniya [83]

Answer:

504

Step-by-step explanation:

14x18x2=

(14x18)x2=

252x2=

504

6 0
2 years ago
Read 2 more answers
An 8 oz glass of grape juice contains 0.6 mg of iron. About what percent of RDA of iron for an 15 year old male is provided by 8
babymother [125]

Answer:

5.45%


Step-by-step explanation:

To find info of a 15 year old male, you look at the Age Group of 14 - 18, beside Male.

The RDA of Iron is given as 11 mg

From a 8 oz glass of grape juice, he gets 0.6 mg.


<em>What percent is 0.6 mg of total 11 mg??</em>


Divide 0.6 by 11 and then multiply by 100 to get the answer. So we have:

\frac{0.6}{11}=0.0545*100=5.45

Thus, 5.45% of RDA of iron is provided by an 8 oz glass of grape juice.

6 0
4 years ago
Please please help me!!!!!
Maru [420]

Answer:

(12, 487)

Step-by-step explanation:

y = 3.7x + 442 ----› Eqn. 1

y = 14.4x + 312 ----› Eqn. 2

Substitute y = (3.7x + 442) into eqn. 2.

y = 14.4x + 312 ----› Eqn. 2

3.7x + 442 = 14.4x + 312

Collect like terms

3.7x - 14.4x = -442 + 312

-10.7x = -130

Divide both sides by -10.7

x = 12.1495327

Substitute x = 12.1495327 into eqn. 1.

y = 3.7x + 442 ----› Eqn. 1

y = 3.7(12.1495327) + 442

y = 486.953271

The solution to the system is rounded to the nearest integer:

(12, 487)

7 0
3 years ago
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