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3 years ago

What is the last digit of

1 answer:

7 0

The answer is A, or 5!
Since their is a 5 in the sequence the answer is always either going to end in a 0 or a 5. since zero isn’t an option the answer is 5.

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(15.) A toy is in the shape of a cone mounted on a hemisphere of same base

lisov135 [29]

Given:

Volume of toy=231 cm³

Diameter of a hemisphere= 7 cm

cone and hemisphere have equal radius.

radius of hemisphere = radius of cone = 3.5 cm

Height of hemisphere= radius of hemisphere= 3.5 cm

Let H be the height of toy

H= height of cone+ height of hemisphere

H = h + r , ( h = height of cone)

H = h + 3.5

volume of toy = volume of cone + volume of hemisphere

Volume of toy= 1/3πr²h + 2/3πr³

Volume of toy=πr²/3(h+2r)

231 = (22/7)×(3.5)² ×(1/3)(h+2×3.5)

231×3 =( 22×3.5×3.5)/7 (h+7)

h+7 = (231×3×7)/(3.5×3.5×22)

h+7 = (3×3)/(.5×.5×2)

h+7= 900 /50= 90/5= 18

h+7= 18

h=18-7

h= 11 cm

Height of toy = h+r

Height of toy = 11+3.5= 14.5

Height of toy =14.5 cm

Hence, the height of the toy = 13.5 cm

3 0

3 years ago

The constant of proportionality can be found by finding the

KatRina [158]

Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

6 0

3 years ago

Read 2 more answers

Write down letters of the circled points and order them by least to greasiest. You will spell a word that describes y way to com

Kaylis [27]

One way to compare quantities is with fractional numbers that represent quantities using divided numbers.

<h3>What is a fraction?</h3>

Fractional number is a mathematical concept that refers to a quantity divided by another quantity. Common fractions are made up of: numerator, denominator and dividing line between them (horizontal or oblique bar).

The denominator "b" expresses the number of equal parts that represent the unit.
The numerator "a" indicates how many of them are taken.

Some examples of fractional numbers are:

$\frac{1}{2}$
$\frac{2}{4}$
$\frac{3}{4}$
$\frac{50}{100}$

Note: This question is incomplete because there is some information missing. However I can answer it based on my general prior knowledge.

Learn more about fractional numbers in: brainly.com/question/13398430

5 0

3 years ago

Solve this system using substitution then write your answer as an ordered pair (x,y) X-5y=4 and Y=2x+14

Nikolay [14]

Answer:

(74/9,274/9)

Step-by-step explanation:

You have

x-5y=4 and

y=2x+14

so we subsitute y in the first equation

x-5(2x+14)=4

x-10x-70=4

-9x=74

x=74/9

so y=2(74/9)+14

y=148/9+14

y=274/9

so the oredered pair is

(74/9,274/9)

4 0

4 years ago

2v^2-12 =-12v <br> Would really appreciate it loves❤️

Black_prince [1.1K]

For this case we have the following equation:

$2v ^ 2-12 = -12v$

Rewriting we have:

$2v ^ 2 + 12v-12 = 0$

Dividing by 2 to both sides of the equation:

$v ^ 2 + 6v-6 = 0$

We apply the quadratic formula:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}$

We have to:

$a = 1\\b = 6\\c = -6$

Substituting:

$x = \frac {-6 \pm \sqrt {6 ^ 2-4 (1) (- 6)}} {2 (1)}\\x = \frac {-6 \pm \sqrt {36 + 24}} {2}\\x = \frac {-6 \pm \sqrt {60}} {2}\\x = \frac {-6 \pm \sqrt {4 * 15}} {2}\\x = \frac {-6 \pm2 \sqrt {15}} {2}$

Thus, we have two roots:

$x_ {1} = - 3+ \sqrt {15}\\x_ {2} = - 3- \sqrt {15}$

ANswer:

$x_ {1} = - 3+ \sqrt {15}\\x_ {2} = - 3- \sqrt {15}$

7 0

3 years ago