All categories

3 years ago

Helpppppppppppppppppppppppppppppppppp

Mathematics

1 answer:

sasho [114]3 years ago

4 0

You must include 4, 12, and all even integers in between 4 and 12, so you must have {4, 6, 8, 10, 12}.
Answer: Option B

You might be interested in

2. A sculptor is planning to make two triangular prisms out of steel. The sculptor will use ΔABC for the bases of one prism and

Phoenix [80]

Answer:

a) SAS

b) Volume of DEF is 4 times the Volume of ABC

Step-by-step explanation:

a) since they have one same/congruent angle (angle B and angle E) and other two sides are in the same ratio, they are similar by SAS similarity theorem.

40/20 = 30/15 = 2

Therefore Δ ABC is similar to Δ DEF

b) Volume of a prism

= base area × height

Let height be 'h cm'

With Base ABC:

Volume = ½×20×15×h = 150h cm³

With Base DEF:

Volume = ½×40×30×h = 600h cm³

600h/150h = 4

Prism with base DEF has a greater volume; it's 4 times of the volume of the prism with base ABC

7 0

4 years ago

Write an equation that can determine the cost for any number of pounds of strawberries purchased.

hjlf

Answer:

y=2.5x

Step-by-step explanation:

To get the equation in y = mx + b format, we need to find m and b, the slope and y-intercept.

To find the slope, we need two points on a graph, which we have.

First, the slope

The formula for slope is

$\frac{y2-y1}{x2-x1}$

Our points, (6, 15) and (2, 5)

Plugging into our equation:

$\frac{15 - 5}{6 - 2}$ , which is 10 divided by 4, which is 2.5

Our equation now:

$y=2.5x+b$

To find our b, we need to plug in one x value.

(6, 15) are our pair of points.

6 = x

15 = y

$15 = 6(2.5) + b$ =>

$15 = 15+b$ =>

$b = 0$

If b is 0, then we don't need to include b.

Our equation is $y=2.5x$

5 0

3 years ago

Simplify 12 square root of 1764

Marina CMI [18]

You need 12 square roots of 1764 ?

<span>Why not find the square root of 1764 first (it's 42) and then take 12 of those ?

Hope this helps!</span>

7 0

3 years ago

Car a travels 0.5 miles per hour faster than car

Crazy boy [7]

Average speed for car a = 1280 / 16 = 80 mph
Car b travels at 80 - 0.5 = 79.5 mph.

Distance car b will travel in same time = 16*79.5 = 1272 miles.

3 0

3 years ago

Read 2 more answers

Which number comes next in this series? 1/64, 1/32, 1/16, 1/8, 1/4, 1/2, ?

alexgriva [62]

This is a geometric sequence, with the first term: 1/64

The common ratio is found through the ratio of the first two terms and the second and third term.
$\frac{\frac{1}{32}}{\frac{1}{64}} = \frac{\frac{1}{16}}{\frac{1}{32}}$
$\frac{1}{32} \cdot 64 = \frac{1}{16} \cdot 32$

Since there is a common difference of 2, we can generalise this sequence to find the nth term:
$T_n = ar^{n-1}$
a is the first term, r is the common ratio, and n is the nth term in the sequence.

$T_n = \frac{1}{64} \cdot 2^{n-1}$
Substituting n = 7, we get:
$T_7 = \frac{1}{64} \cdot 2^{7 - 1}$
$T_7 = \frac{1}{64} \cdot 64$
$T_7 = \frac{64}{64} = 1$

Thus, the next term in the sequence is 1.

6 0

3 years ago