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3 years ago

C is 8 more than half of n

Mathematics

2 answers:

Travka [436]3 years ago

8 0

C+8=1/2n should be your answer

zhenek [66]3 years ago

4 0

C=1/2n+8 would be the answer

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These cylinders are similar. Find the volume of

Basile [38]

Answer:

$V_s=85\ cm^3$

Step-by-step explanation:

Let $V_s\ and\ V_b$ be the volumes of the smaller and bigger cylinder.

The formula for the volume of a cylinder is given by :

$V=\pi r^2 h$

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

$\dfrac{V_s}{V_b}=(\dfrac{h_s}{h_b})^3\\\\\dfrac{V_s}{V_b}=(\dfrac{3}{5})^3\\\\\dfrac{V_s}{V_b}=0.216\\\\V_s=393\times 0.216\\\\V_s=84.8\\\\or\\\\V=85\ cm^3$

So, the volume of the smaller cylinder is equal to $85\ cm^3$ .

3 0

2 years ago

Graph quadrilateral ABCD and find the most precise name (square, rectangle,

Pavlova-9 [17]

Answer:

Kite

Step-by-step explanation:

To graph quadrilateral with points:

A(-1,-2)

B(5,1)

C(-3,1)

D(-1,4)

Thus, we graph the the given points and join the corners. The quadrilateral formed has the following features:

Measure of segment AB= Measure of segment BD = 6.708 units

Measure of segment AC= Measure of segment CD = 3.605 units

Thus, adjacent pair of sides of the quadrilateral are congruent.

Major diagonal BC cuts the minor diagonal AD at point E such that:

Measure of segment AE= Measure of segment ED = 3 units

m∠AEB = m∠DEB = 90°

Thus, major diagonal is a perpendicular bisector of the minor diagonal.

The above stated features fulfills the criterion of a kite.

Hence, the given quadrilateral ABCD is a kite.

8 0

3 years ago

Which expression is the factorization of x2 + 10x + 21?

LiRa [457]

<h2>Solution:</h2>

Equation: x² + 10x + 21

Step 1: Find two numbers that can add up to 10 and be multiplied to 21. We have: 7 & 3, in the sense that 7+3=10, and 7×3=21. Replacing 10 with 7+3, the equation is now → x² + 7x + 3x + 21

Step 2: Get the new equation bracketed → (x² + 7x) (+3x + 21)

Step 3: Use 'x' in the equation. For the first part, we have 'x'. x² = x × x so, bring out one x out side the bracket, divide 7x by = 7 → x (x +7). Do the same for the second part by dividing 21 by 3 = 7, and then bringing out 3 from the bracket → 3 (x + 7).

Bringing everything together, we have: x(x+7) +3(x+7) → (x+3) (x+7)

<h3>Final answer:</h3>

(x+3) (x+7)

<h3 />

4 0

2 years ago

PLEASE HELP

Studentka2010 [4]

The side length for a cube
with volume 8000cm3 = 8000^(1/3)= 20 m
Cheers,
Stan H.8000=S^38000=20^3
so the answer will be B

3 0

3 years ago

Find A U B U C. A){2,3,5,6,7,8,9,11,12}B){2,3,5,6,7,8,9}C){2,3,5,7,8,9,12}D){3,5,6,7,8,11,12}

Triss [41]

Answer: {2,3,5,6,7,8,9,11,12}

4 0

3 years ago