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Rama09 [41]
2 years ago
13

Helpppppp pllzzzzzzzzz

Mathematics
1 answer:
fgiga [73]2 years ago
5 0

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

<u>Area of square 1: 81 square inches</u>

s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9

<u>Perimeter of square 2: 48 inches</u>

4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

(H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15

Hence,

The length of side of largest square is 15 inches

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Walden’s family is shopping for a reclining chair. The chair the family decided on has a retail price of $800 plus 5% sales tax
Marianna [84]

Answer:

B 10% off sale, with a total price to pay of 756

Step-by-step explanation:

Retail price (Rp) = $800

Taxes (T) = 5%

  • Offer A $75 instant rebate

Total price A (TA) = Rp - 75 + (Rp - 75) 5%

TA = 800 - 75 + (800-75) 5%

TA = 725 + 725 5%

725 5% = 725*5/100 = 36.25

TA= 725+36.25 = $761.25

  • Offer B 10% off sale

Total price B (TB) = RP - RP 10% + (RP - RP 10%) 5%

TB = 800 - 800 10% + (800 - 800 10%) 5%

800 10% = 800*10/100 = 80

TB = 800 - 80 + (800 - 80) 5%

TB = 720 + 720 5%

720 5% = 720*5/100 = 36

TB = 720 + 36 = $756

  • Offer C 5% off sale plus store pays sales tax

store pays sales tax means Walden's family will not need pay for taxes

Total price C (TC) = RP - RP 5%

TC = 800 - 800 5%

800 5% = 800*5/100 = 40

TC = 800 - 40 = $760

  • Offer D a “no tax” sale—the store pays the tax

Means that Walden's family will need pay just the retail price

TD = $800

The beast deal is from the store B

7 0
3 years ago
Read 2 more answers
What is 403,000,000,000,000 in scientific
frozen [14]

Answer:

(A) 4.03 x 10^14

Step-by-step explanation:

403,000,000,000,000

Scientific notation is of the form

a * 10 ^b

where a is a number from 1 to a number less than 10

Put the decimal in the number

403,000,000,000,000.

We need to move the decimal 14 places to the left to get the number to be between 1 and 10

4.03000000000000  so the b is 14

Since we moved it to the left b is positive

We can drop the extra zeros at the end (after the last nonzero digit)

4.03 *10^14

6 0
3 years ago
Read 2 more answers
Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asked for 2 players
xxMikexx [17]

6x  - 12 = 78 \\ 6x = 90 \\ x = 15

There are 15 players on each team.

7 0
3 years ago
Please help fill in the blanks
Wewaii [24]

Answers:

Reason 4: Isosceles triangle

Reason 5: Segment Addition Postulate

Reason 6: Segment Addition Postulate

Reason 7: Substitution

Reason 8: Substitution

Reason 9: Subtraction property of equality

Reason 10: Definition of congruence

Reason 11: Vertical Angles Theorem

Reason 12: Vertical Angles Theorem

Reason 13: ASA (angle side angle) congruence theorem

==================================

Explanations:

Reason 4: Triangle DCE is an isosceles triangle because of statement 1 of the proof table. The congruent base angles lead to congruent opposite sides.

Reason 5 and 6: This is the idea of breaking any segment into smaller pieces. The smaller pieces glue back together to get the larger original segment.

Reasons 7 and 8: Substitution is a math term which means "replacement". So for instance, in line 7 we started with DB = DC + CB (from line 6), then we replaced the "DB" with "DF" (see line 3); and then replaced "DF" with "DE+EF"

Reason 9: In this step, we subtract DE from both sides to have it go away and cancel out

Reason 10: If two lengths are equal, then the segments are congruent

Reason 11 & 12: Two angles are vertical if they are opposite from one another after forming from two lines crossing. Think of an X shape. Vertical angles are congruent.

Reason 13: We have two pairs of congruent angles, and a pair of congruent sides. The sides are between the angles. The order is important. See the attached image below.

3 0
3 years ago
The length of a rectangle is five more than the width. The perimeter is 130cm. What is the area?
Evgen [1.6K]
<h2>Greetings!</h2>

Answer:

≅ 586.8

Step-by-step explanation:

Take x to be the width, if the length is 5x bigger than the width, then this can be shown by 5x.

The total perimeter is:

(2 * x) + (2 * 5x) because each side has another parallel one.

This means that 2x + 10x = 130

12x = 130

Divide both sides by 12:

\frac{12x}{12} = \frac{130}{12}

x = \frac{65}{6}

So the area = length * width

x * 5x = area

Substitute the values in:

\frac{65}{6} * (5*\frac{65}{6}) = 586.8055... ≅ 586.8

So the approximate area is 586.8


<h2>Hope this helps!</h2>
5 0
3 years ago
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