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Leona [35]
3 years ago
15

Which expression is equivalent to 10√5

Mathematics
1 answer:
mixer [17]3 years ago
8 0

Answer:

A. √500

Step-by-step explanation:

Since 500 = 5·100 = 5·10² you can move the 10² out of the √ as 10.

Hence 10√5 = √500

So we're using these rules:

√a·b = √a·√b

and of course

√a² = a  (a>0)

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Determine if the two triangles are congruent.
stiks02 [169]

Answer:

SAS

Step-by-step explanation:

The two triangles share a side, so that would be reflexive to show that side is congruent. Also, keep in mind that all right angles are congruent! The picture already tells us that the two outer side are congruent. So in conclusion, the two angles are congruent by SAS.

Hope this helps! :)

3 0
3 years ago
Read 2 more answers
5 ≤ - 3x- 3 ≤ 10 solve the inequality for x
kaheart [24]

Answer:

<h3>- \frac{8}{3}  \geqslant x   \geqslant - \frac{13}{3}</h3>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • inequality
  • solving inequality
  • PEMDAS
<h3>given:</h3>

5 ≤ - 3x- 3 ≤ 10

<h3>to solve:</h3>

x

<h3>let's solve:</h3>

few notes about inequality

the direction of the inequality doesn't change if you

  • Add (or subtract) a number from both sides
  • Multiply (or divide) both sides by a positive number
  • Simplify a side

the direction of the inequality does change

if you

  • Multiply (or divide) both sides by a negative number
  • Swapping left and right hand sides

step - 1 : difine

5 \leqslant  - 3x - 3 \leqslant 10

step - 2 :  \\ add \: 3 \: in \: each \: sides

5 + 3 \leqslant  - 3x - 3 + 3 \leqslant 10 + 3

8 \leqslant  - 3x \leqslant 13

step - 3 :  \\ divide  \:  - 3\: from \: each \: sides \:  \\ and \: swap \: the \: inequalily

\therefore -  \frac{8}{3} \geqslant x \geqslant   - \frac{13}{3}

5 0
3 years ago
How do i find scale factor?
Kazeer [188]
To find scale factor you first must find two corresponding sides. then divide one by the other. note that if you divide the smaller side by the larger you will get a number less that one and if you divide the larger side by the smaller side you will get a number greater than one.
6 0
4 years ago
Consider a hypothesis test to decide whether the mean annual consumption of beer in the nation's capital is less than the nation
vazorg [7]

Answer:

Step-by-step explanation:

Type I error occurs when the null hypothesis is rejected even when it is true.

Type II error occurs when the null hypothesis is not rejected even when it is false.

The null hypothesis is

The mean annual consumption = the national mean

The alternative hypothesis is

The mean annual consumption < the national mean

1) it is a type II error because the null hypothesis was not rejected even when it is false

2) it is a correct decision because the decision corresponds to the outcome

3) it is also a type II error

d) it is a correct decision because the null hypothesis is accepted when it is true

5 0
3 years ago
Blackberries are on sale for $3.94 per pound. What is the standard equation?
slavikrds [6]
Y= 3.94x Y is representing the total amount of money owed and x represents how many pounds of blueberries.
4 0
3 years ago
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