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MA_775_DIABLO [31]
3 years ago
7

Henry has two pixie sticks full of delicious sugar. Henry loves to share. It just so happens that there are two other friends ne

arby and since he is so nice he feels obligated to divide his pixie sticks evenly. If each pixie stick contains 22 grams of sugary goodness, how many grams will he share with each of his friends? Round your answer to the nearest tenths.
someone please answer my question pleaseeeee
Mathematics
1 answer:
Effectus [21]3 years ago
4 0

Answer: 14.7 grams

Step-by-step explanation:

Given : Henry has two pixie sticks full of delicious sugar.

Each pixie stick has 22 grams of sugary goodness.

Then, Total sugary goodness in 2 pixie sticks= 2\times22=44\text{ grams}

Total persons = 3   [Including himself]

If he divides 2 sticks evenly among 3 persons , then the amount of sugary goodness each persons will receive

= Total sugary goodness in 2 pixie sticks divided by 3

=44\div3=14.6666666667\approx14.7 grams

Hence, He will share 14.7 grams of sugary goodness with each of his friends.

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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
Which of the following expressions is this one equivalent to?
padilas [110]

Hello from MrBillDoesMath!

Answer:

Choice D,  x-2


Discussion:

Observe the the highest order term in the numerator is  x^4 and the highest order term in the denominator is x^3. So the highest order term in their quotient is x^4/x^3 = x.  Choice D is the only possible answer as all other choices start with x^2

Regards,  

MrB

6 0
3 years ago
Please help explanation if possible
poizon [28]

Step-by-step explanation:

Hi there!

The given equation is:

y = -2x + 5………………(i)

Comparing the equation with y = mx+c, we get;

m1 = -2

Also another equation of the line which passes through point (-4,2), we get;

(y-2) = m2(X+4)............(ii) { using the formula (y-y1) = m2(x-x2)}

According to the question, they are perpendicular to eachother, So according to the condition of perpendicular lines;

m1*m2 = -1

-2*m2 = -1

or, m2 = 1/2.

Therefore, m2= 1/2.

Now, keeping the value of m2 in equation (ii).

(y-2) = 1/2(x+4)

y = (1/2)x + 4

Therefore, the required equation is: y = (1/2)x + 4.

<u>Hope</u><u> it</u><u> helps</u><u>!</u>

3 0
3 years ago
What is the equation of the coordinate A and B if they are (4,7), (6,3) respectively. What is the equation of the straight line.
Nesterboy [21]

Answer: y+2x=15

Step-by-step explanation:

Given

Two points A and B are (4,7) and (6,3) respectively

Using two-point form

\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}

Putting values

\Rightarrow \dfrac{y-7}{x-4}=\dfrac{3-7}{6-4}\\\\\Rightarrow \dfrac{y-7}{x-4}=\dfrac{-4}{2}=-2\\\\\Rightarrow y-7=-2x+8\\\\\Rightarrow y+2x=15

3 0
3 years ago
N an algebra classroom, a teacher has created an estimation game using a jar of pennies. six students remain in the contest. eac
ella [17]
Im guessing 35 all I did was add 12+11
6 0
3 years ago
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