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3 years ago

The vertex of angle ABC is ___ A, B, or C

Mathematics

1 answer:

Nastasia [14]3 years ago

8 0

Answer:

Step-by-step explanation:

The vertex is always in the middle.

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A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3. Also, the sum

AysviL [449]

Answer:

The graph of 3rd picture is correct Option.

Step-by-step explanation:

Let x =green and y = carrots

We make equations of the given sentences and then plot them to find the correct answer.

The equation for A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3 is

2x-y ≥ 3

The equation for the sum of the ounces of greens and twice the ounces of carrots is less than 4.

x+2y < 4

We plot both the equations and gain the graph.

The graph is attached in the figure.

The graph of 3rd picture is correct Option.

7 0

4 years ago

1000 cylindrical metal bars of length 120 m and diameter 0.2 m , as shown below, are to be used in constructing a bridge. He bar

Troyanec [42]

Answer:

the number of of litres of paint to the nearest litre for 1000 bars is 1 litre

Step-by-step explanation:

Given that:

1000 cylindrical metal bars have :

a length of 120 m

and a diameter of 0.2 m

The volume of the cylindrical bar can be calculated by the formula:

$V= \pi r^2 h$

where ;

radius $r=\dfrac{d}{2}$

$r = \dfrac{0.2}{2}$

r = 0.1 m

the length of the cylindrical metal bars is equal to the height of the metal bar = 120 m

Thus the volume can now be calculated as follows:

$V= \pi* 0.1^2*120$

V = 3.77 m³

So; from the given information.

One litre of paint will cover 4m³

and we want to find how many litres of paint will be used for the 1000 cylindrical bars.

If 1 litre = 4m³

Then x litre = 3.77 m³

4x = 1 × 3.77

$x = \dfrac{1*3.77 }{4}$

x = 0.9425 litres

x = 1 litres to the nearest litres.

Thus ; the number of of litres of paint to the nearest litre for 1000 bars is 1 litre

4 0

4 years ago

When (81x^2/7) (2/9x^3/7) is simplified, it can be written in the form ax^b where a and b are real numbers. Find ab.

larisa86 [58]

Answer:

In improper form your solution will be $\frac{90}{7}$ . As a mixed fraction it will be $12\frac{6}{7}$ .

Step-by-step explanation:

The first thing we want to do here is to simplify this expression. After doing so, " a " and " b " should be multiplied to result in a possible improper fraction,

$\left(81x^{\frac{2}{7}}\right)\:\left(2/9x^{\frac{3}{7}}\right)\:$ - Apply exponential rule " $\:a^b\cdot \:a^c=a^{b+c}$ "

= $81\cdot \frac{2}{9}x^{\frac{2}{7}+\frac{3}{7}}$ - Combine fractions $\frac{2}{7}$ and $\frac{3}{7}$

= $81\cdot \frac{2}{9}x^{\frac{5}{7}}$ - Multiply the fractions, and simplify further

= $\frac{162x^{\frac{5}{7}}}{9}$ = $18x^{\frac{5}{7}}$ - This is out simplified expression

Now that we have this simplified expression, we can see that a = $18$ , and b = $\frac{5}{7}$ . Therefore, multiplying the two we should receive the improper fraction as follows,

$18 * \frac{5}{7}$ = $\frac{90}{7}$ - Note that this is in improper form. If you want your solution in a mixed fraction, it will be $12\frac{6}{7}$ .

5 0

4 years ago

What is the following sum ?

Hitman42 [59]

Answer: 4th option

Explanation:

I added a picture so please check it

6 0

3 years ago

Read 2 more answers

What is not an acceptable form of proof?

AveGali [126]

<span>Which of the following is not an acceptable form of proof
a. two-column proof
b. indirect proof
c. conjecture proof
d. flowchart proof
</span>....
. It would be an indirect proof that is not an acceptable form of proof. This is because this type proof is not used by any problem (B) is the answer

5 0

3 years ago