All categories

4 years ago

A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this paper?

1 answer:

5 0

59.4cm
Use Pythagorean theorem to find the diagonal (^ means exponent)
a^2 + b^2 = c^2
42^2 + 42^2= c^2
1764+1764=c^2
3528=c^2
square root both sides
c= 59.39696962
round and you get 59.4 cm

You might be interested in

7. How much 6% solution can you make by diluting 350 mL of a 15% solution

ANTONII [103]

Answer:

We know that the formula to mix chemical solutions is: C1V1 = C2V2

where C represents the concentration of the solute, and V represents volume in milliliters or ml.

In this case, we have:

0.06V1 = 0.15×350

Solving for 'V1' we have:

V1 = (0.15×350)/0.06 = 52.5/0.06 = 875

Therefre I can make 875 mL of a 6% solution by diluting 350 mL of a 15% solution.

6 0

4 years ago

Which equation represents a direct variation

Mazyrski [523]

Direct variation is is when the x and y a direct relation

without constants added or subtracted

With being times by each other

so the only one that meets the definite is the first one

y = 0.5x means y is equal to half of x. So you know that every y is directly related to half of x

7 0

4 years ago

Read 2 more answers

In the past Reagan got paid 214,350 annually. Since switching to a new career she has been making 347,247 annually. What is the

Dima020 [189]

Answer: Reagan's pay was increased by 62%

Step-by-step explanation:

First, lets find the difference between the two pays:

$347,247 - $214,350 = $132,897

Let 214350 = 100%

Dividing 132,897 by 214350 to find the percent increase

$\bold{\frac{132,897}{214,350} }=0.62\times100=62$

Therefore, Reagan's pay was increased by 62%

8 0

2 years ago

The left and right page numbers of an open book are two consecutive integers whose sum is 577. Find these page numbers.

JulsSmile [24]

Answer:

288 and 289 are the two pages.

Step-by-step explanation:

5 0

3 years ago

M is the midpoint of PQ. The diameter of a circle O is 13 in. And RM = 4 in.

garri49 [273]

Answer:

Part a) $PM=6\ in$

Part b) $PQ=12\ in$

Step-by-step explanation:

step 1

we know that

The diameter of the circle divide the circle into two equal parts

PM=MQ

Applying the <u>Intersecting Chord Theorem</u> (When two chords intersect each other inside a circle, the products of their segments are equal)

$SM*RM=PM*MQ$

$SM*RM=PM^{2}$

we have

$SM=13-4=9\ in$

$RM=4\ in$

substitute

$9*4=PM^{2}$

$PM^{2}=36$

$PM=6\ in$

step 2

Find the value of PQ

we know that

$PM=MQ$

$PQ=PM+MQ$

$PQ=2PM$

we have

$PM=6\ in$

substitute

$PQ=2(6)=12\ in$

5 0

3 years ago

A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this​ paper?

A square sheet of paper measures 42 centimeters on each side. What is the length of the diagonal of this paper?