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Ghella [55]
3 years ago
15

Find the GCF of the terms of the polynomial. 30x3 + 16x5 a. x3 b. 2x3 c. 2x5 d. 16x

Mathematics
1 answer:
Vladimir79 [104]3 years ago
3 0
You can take out 2x^3 from both terms making it
2x^3 (15+8x^2)
Answer is B
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In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}

Thus,

MH=1.43\cos 69^{\circ}\approx 0.51\ cm

7 0
3 years ago
A one pound bag of skittles contains 300 pieces of which 28% are red. How many skittles were red?
lesantik [10]

Answer:84

Step-by-step explanation:

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3 years ago
In a lab experiment, 1900 bacteria are placed in a petri dish. The conditions are such
GREYUIT [131]

Answer:

393 bacteria

Step-by-step explanation:

First find how much it would increase per hours :

1900 / 29 = 65.5172414

Then take this and multiply it by 6 to get :

393.103448

Round it to the nearest whole number to get:

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Which choice gives the solution of this inequality?<br> 3t + 7 &lt; 28
Butoxors [25]

Answer:7

Step-by-step explanation:

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3 years ago
Help Fast Please!!!!!!!!! How can you tell if three positive numbers form a Pythagorean triple?
Fiesta28 [93]

Answer/Step-by-step explanation:

Square all three numbers. If the largest number squared is equal to the sum of the squares of the other two, then the numbers form a Pythagorean triple.

<u><em>or</em></u>

Since a Pythagorean triple is three positive integers a, b, and c such that (a^2)+(b^2)=(c^2), first take the sum of the squares of the two legs and make an estimate. For example, 3, 4, and 5 is a Pythagorean triple since 9+16=25

<u><em>either one works</em></u>

3 0
3 years ago
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