All categories

3 years ago

Eveline made a scale drawing of a patio she is planning to build

Mathematics

1 answer:

Irina-Kira [14]3 years ago

3 0

Answer:A 12 cm

Step-by-step explanation:

because 5 rounds 2 to 3 and 3 divdied by 12 is 4 sinbce it is equal.

You might be interested in

What is the correct domain for a log function? A=(-∞,0] B=[0,∞) C=(-∞,0) D=(0,∞)

masha68 [24]

$f(x)=\log(x)\\\\Domain:\\\\x > 0\to x\in(0,\ \infty)\\\\Answer:\ \boxed{D=(0,\ \infty)}$

3 0

3 years ago

Find the volume of the prism.

umka21 [38]

Answer:

C = 210cm^3

Step-by-step explanation:

We can get an estamate when we use the equation L x H x W = x/2

This shows 8 x 8 x 7, then divide by 2 = 224cm^3

The reason it is slightly less could be the facts the teachers want you to remember this one.

For right side prism the equation is (1/2)b x h x H

which means;

The volume of a triangular prism can be found by multiplying the base times the height. Both of the pictures of the Triangular prisms below illustrate the same formula. The formula, in general, is the area of the base (the red triangle in the picture on the right) times the height,h.

We use the side and base that surrounds the right side as (1/2)base and as side to find area then use the H as the height being the 7.

3 0

3 years ago

Read 2 more answers

If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.

Lelechka [254]

Answer:

$\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }$

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

$f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)$

So we can say that

$a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}$

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

$(x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab$

and we can notice that

$a^2+b^2=(a+b)^2-2ab$ so

$(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab$

it comes

$x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}$

multiply by 3

$3x^2-20x+2*16+5=3x^2-20x+37$

4 0

3 years ago

The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t

AnnyKZ [126]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

$x - 10$

The second number in terms of x:

$4x$

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

$x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19$

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

$19 - 10 = 9$

$4 \times 19 = 76$

The first number is 9, second number 19 and the third number 76.

6 0

3 years ago

the cost of five different pairs of pants in a department store are $39.99, $31.99, $19.99, $23.99, and $26.99. What is the mean

oksano4ka [1.4K]

Keep in mind that means is the same as asking for the average. all you need to do is add all the values and divide them by the number of values, which is 5

$39.99 + $31.99 + $19.99 +$23.99 + $26.99= 142.95

mean= 142.95/5 = 28.59

8 0

3 years ago

Read 2 more answers