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ch4aika [34]
3 years ago
14

99 Over 25 as a terminating decimal.

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0
I believe the answer would be 3.96 simplified
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In triangle ABC, m∠A = 55° and m∠B = 35°. Classify the triangle by its angles.
garri49 [273]

Answer:

Is a right triangle

Step-by-step explanation:

step 1

Find the measure of angle C

Remember that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

m

substitute the given values

55\°+35\°+m

m

therefore

The triangle is a right triangle, because has a internal angle of 90 degrees

6 0
3 years ago
Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.
Mice21 [21]

Answer:

<em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

Step-by-step explanation:

Making factors of 8y^{6}+ 144y^{5}+ 640y^{4}

Taking 8y^{4} common:

\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)

Using <em>factorization</em> method:

\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times  4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)

Now, Making factors of 2y^{4} + 40y^{3} + 200y^{2}

Taking 2y^{2} common:

\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)

Using <em>factorization</em> method:

\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10)        ............ (2)

The underlined parts show the Highest Common Factor(HCF).

i.e. <em>HCF</em> is 2y^{2} (y+ 10).

We know the relation between <em>LCM, HCF</em> of the two numbers <em>'p' , 'q'</em> and the <em>numbers</em> themselves as:

HCF \times LCM = p \times q

Using equations <em>(1)</em> and <em>(2)</em>: \Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times  4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)

Hence, <em>LCM</em> = 8y^{4}(y+ 10)^{2}(y + 8)

5 0
3 years ago
Find the diameter of a circle with an area of<br>95.03 square feet.<br>​
ra1l [238]

For this case we have that the area of a circle is given by:

A = \pi * r ^ 2

Where:

r: It is the radius of the circle

By clearing the radio we have:

r = \pm \sqrt {\frac {A} {\pi}}

We take the positive value:

r = \sqrt {\frac {A} {\pi}}\\r = \sqrt {\frac {95.03} {\pi}}\\r = 5.50 \ ft

The diameter is twice the radius:

d = 11

Answer:

11 \ ft

7 0
3 years ago
Read 2 more answers
Sergio plans to drive 150 miles at a rate of 60 miles per hour. He figures that it will take 25 hours. Which is NOT a reason why
natita [175]
150 miles at a rate of 60 miles per hour. 150/60=2.5 hours
He figures that it will take 25 hours. Wrong
5 0
3 years ago
Read 2 more answers
36 hundredths divided 9 tenths
valentina_108 [34]

Answer: 0.4

Step-by-step explanation:

5 0
3 years ago
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