What is 4 1/5 multiplied by 3/10

Answer:

Step-by-step explanation:

A) To determine the slant height, we would apply Pythagoras theorem to the right angle triangle formed. The opposite side would be the distance from the center of the pyramid to the center of any side. Therefore

Opposite side = 2/2 = 1 yrd

Slant height, L = hypotenuse

Adjacent side = 2 yrd

Hypotenuse² = opposite side² + adjacent side²

L² = 1² + 2² = 5

L = √5 = 2.24 yrds

Slant height = 2.24 yrds

B) Area of each triangular face = 1/2 × 2 × 2.24 = 2.24

Surface area of 4 triangular faces = 2.24 × 4 = 8.96 yrds²

Surface area of the remaining 5 faces of the cube = 5 × 2² = 20 yrds²

surface area of composite figure = 20 + 8.96 = 28.96 yrds²

C) volume = 1/3 × base area × height

Volume = 1/3 × 2² × 2 = 2.67 yrds³

An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are B and D.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that are equivalent to -4/3p - 2/5 are:

Hence, the correct options are B and D.

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Answer:

You'd have to look at the size of the pizza and then measure the size of the arc for each slice. The slice of pizza is how many topping is on it. The sector is how much pizza you are consuming from the center to the crust. The arc is the crust around the pizza.

Answer:

use phototmath

Step-by-step explanation:

Answer:B

Step-by-step explanation:

All you have to do is multiply

Answer:

i think its 420

Step-by-step explanation:

Step-by-step explanation:

We're going to convert all of these to km/h.

Sapons: 80km/2h => 40kmh

Silvers: 180km/3h => 60kmh

Johns: 50kmh

Cunninghams: (to get the 30 mins to 60 mins, multiply the top and the bottom by 2) 35km/30min => 70kmh

Now that they're all in the same form we can put them from least to greatest.

Answer:

(Least) - Sapons

- Johns

-Silvers

(Greatest) - Cunninghams

Answer:

There are 3 roses in the garden.

Step-by-step explanation:

If there are 5 times as man tulips in the garden as the roses, you would have to count 3, 5 times in order to get 15 which brings us to the answer of 3 roses in the garden.

Answer:

HAT       AM

HAM

MAT

AT

Step-by-step explanation:

(if you can repeat the letters)

THAT

hopefully this helps and i didnt miss any words

Answer:

Can’t really understand your question!!

Answer: 150.80 inches.

Step-by-step explanation:

Answer:

75.36

Step-by-step explanation:

You need to multiply the diameter, 24 by 3.14, and the answer is 75.36.

Answer:

£1481

Step-by-step explanation:

First find the cumulative frequency of the child tickets. You should get 58.

Then multiply this by the price of the child tickets.

58x12.50=£725

Then, to work out the number of adults, we subtract 58 from 100

100-58=42

Then multiply this by the price of adult tickets.

42x18=£756

Add both prices together to get your answer.

725+756=£1481

Sorry if it's too late, I hope it helps. :)

Answer:

?

Step-by-step explanation:

Answer:

Hi! I was looking at this question and it has confused me what do you want to be answered if you let me know that would be great! Thank you.

Hope this Helps :)

Answer:

5/7

Step-by-step explanation:

There are 5 red cards and 7 cards in total. Add the number of black card , 2, to the number of red cards, 5, to get the total number of cards. Then, put the number of red cards as the numerator an the total number of cards as the denominator.

Feel free to correct me if I'm wrong

Answer:

As described, the classification of random variables should be:

Number of math courses, discrete; weight of backpack, continuous.

Hope this helps!

:)

Answer:

Number of math courses, discrete; weight of backpack, continuous

Step-by-step explanation:

Hope this helped! stay safe! ;D

Answer:

.00604

Step-by-step explanation:

when multiplying by a negative exponent move the decimal to the left

10^-3 move the decimal 3 spaces to left

.00604

Answer:

the center is (-2,2) and the radius is 5

Answer:

Center: (-2,2)

Radius:5

Step-by-step explanation:

The first step in this problem is to complete the square and to find the equation of this circle in standard form.

[tex]x^2+y^2+4x-4y=17[/tex] can be rearranged to be:

[tex]x^2+4x+y^2-4y=17[/tex]

Now, you can begin to complete the square with both the x and the y:

[tex](x^2+4x+4)-4+(y^2-4y+4)-4=17[/tex]

Adding 8 to both sides and finishing the squares:

[tex](x+2)^2+(y-2)^2=25[/tex][tex](x+2)^2+(y-2)^2=25[/tex]

The coordinates of the center of the circle are (-2,2), and the radius is [tex]\sqrt{25}=5[/tex]. Hope this helps!

Answer:

[tex]y = 40\cdot k[/tex]

Step-by-step explanation:

Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:

[tex]y \propto x[/tex]

[tex]y = k \cdot x[/tex]

Where [tex]k[/tex] is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:

[tex]y = 40\cdot k[/tex]

Answer:

The first answer is ''y=45 x''

1800 people for the second one

Answer:

p = 34/2

p= 17

thank you.

Answer:

3 1/3 batches

Step-by-step explanation:

you can divide 1/4 and 5/6 to find how many in each batch.

Answer:

The third number (c) is 54.

The other ones are 70 and 56.

Step-by-step explanation:

We have 3 numbers, let's call them a, b and c.

We know that the sum of the three numbers is 180, thus:

[tex]a+b+c=180[/tex]

We also know that the first number is 10 more than the mean of the three numbers (Note: the mean is the sum of the numbers divided by the number of numbers). Thus:

[tex]a=\frac{a+b+c}{3} +10\\a=\frac{a+b+c+30}{3} \\3a=a+b+c+30\\2a=b+c+30[/tex]

Finally the second number is 4 less than the mean:

[tex]b=\frac{a+b+c}{3}-4\\b=\frac{a+b+c-12}{3} \\3b=a+b+c-12\\2b=a+c-12[/tex]

Now we have our set of equations and we can proceed to solve them:

[tex]a+b+c=180\\2a=b+c+30\\2b=a+c-12[/tex]

Solving for a in our first equation we have: [tex]a=180-b-c[/tex] and substituting this in our second equation we have:

[tex]2a=b+c+30\\2(180-b-c)=b+c+30\\360-2b-2c=b+c+30\\330=3b+3c\\110=b+c[/tex]

Now taking this last result into our first equation we have:

[tex]a+b+c=180\\a+(b+c)=180\\a+110=180\\a=70[/tex]

Now we are going to solve for b in our second equation and substitute this in our third equation: [tex]b= 180-a-c[/tex]

[tex]2b=a+c-12\\2(180-a-c)=a+c-12\\360-2a-2c=a+c-12\\372=3a+3c\\124=a+c[/tex]

But we know that a =70, so we can substitute it in our last line:

[tex]124=a+c\\124=70+c\\54=c[/tex]

Now we just need to find b and we can use our first original equation to do this:

[tex]a+b+c=180\\70+b+54=180\\124+b=180\\b=180-124\\b=56[/tex]

Answer:

it is true

Step-by-step explanation:

because a statistical question is a question that has more than one possible answer so it can have a variety of answers. in other words more than 1 answer.

hope this help :-)

Answer: $6.62

Step-by-step explanation:

This problem is very similar to the one I answered previously. We are given our p, r, and t.

p=6 ($6)

r=0.05 (5%)

t=2 (years)

With the given information, we can plug this into the equation:

B=p(1+r)^t

B=6(1+0.05)^2

B=6.615

Our final amount is $6.62.

Let me know if there are any problems.

Answer:

x = 5

Step-by-step explanation:

15 / 3 =5

Answer:

6n^3

Step-by-step explanation:

3/3 *9^10/453*7+sqrt175

The polynomial expression is [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].

Given:

[tex]$\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$[/tex]

To find:

the value of B is a polynomial expression.

Step 1

Let, [tex]$\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}} \div \frac{2 n^{2}+18 n}{B}=1$[/tex]

[tex]$\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}=1$$[/tex]

Simplifying the above equation as

[tex]$\frac{\frac{n^{2}+12 n+27}{3 n^{3}+9 n^{2}}}{\frac{2 n^{2}+18 n}{B}}: \frac{B}{6 n^{3}}$[/tex]

then, we get

[tex]$\frac{B}{6 n^{3}}=1$$[/tex]

Step 2

Multiply both sides by [tex]$6 n^{3}$[/tex], then we get

[tex]$\frac{B}{6 n^{3}} \cdot 6 n^{3}=1 \cdot 6 n^{3} $$[/tex] where, [tex]\quad n \neq 0[/tex]

Simplifying the equation as

[tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex]

The value of [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].

Therefore, the polynomial expression is [tex]$B=6 n^{3}[/tex] ; where, [tex]\quad n \neq 0[/tex].

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Answer:

612

Step-by-step explanation:

9 x 68 = 612

Answer:

c = 1/2

Step-by-step explanation:

Solve for c:

c + 4 (c + 3) = c + 14

4 (c + 3) = 4 c + 12:

4 c + 12 + c = c + 14

Grouping like terms, 4 c + c + 12 = (c + 4 c) + 12:

(c + 4 c) + 12 = c + 14

c + 4 c = 5 c:

5 c + 12 = c + 14

Subtract c from both sides:

(5 c - c) + 12 = (c - c) + 14

5 c - c = 4 c:

4 c + 12 = (c - c) + 14

c - c = 0:

4 c + 12 = 14

Subtract 12 from both sides:

4 c + (12 - 12) = 14 - 12

12 - 12 = 0:

4 c = 14 - 12

14 - 12 = 2:

4 c = 2

Divide both sides of 4 c = 2 by 4:

(4 c)/4 = 2/4

4/4 = 1:

c = 2/4

The gcd of 2 and 4 is 2, so 2/4 = (2×1)/(2×2) = 2/2×1/2 = 1/2:

Answer: c = 1/2

Answer:

- 4

Step-by-step explanation:

The number of points earned by Anthony is the sum of all the individual points earned from the 5 throws. Considering that he had -6 on 2 throws, 10 from one throw, 2 and the -4 from the final set of throws, the total is equivalent to

= -6 - 6 + 10 + 2 -4

= -4

Anthony earned a total of - 4 from the 5 throws.

1. D

2. J

3. L

4. A

5. B

6. K

7. C

8. I

9. F

10. G

Radius = Center to Perimeter of Circle

Minor Arc = Arc that goes around less than 1/2 of circle

Major Arc = Arc that goes around more than 1/2 of circle

Chord = The straight line segment between 2 points on a circle

Secant = A line that passes through 2 points on a circle

Semicircle = 1/2 Circle

Tangent = Line that touches 1 point on a circle's perimeter

Central Angle = Angle with a vertex at the center of a circle

Inscribed Angle = Angle whose 3 points (vertex & 2 other points) are on the outside of the circle

Right Angle = Angle with 90 degree measure