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3 years ago

Please answer the question correctly while showing detailed working.

Mathematics

1 answer:

madreJ [45]3 years ago

7 0

Step-by-step explanation:

hey friend another answer for u is ready

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This week, Sarah spent a total of 120 minutes studying. This total was 20 more

MrMuchimi

Answer:

She spent 25 minutes studying last week

Step-by-step explanation:

L = last week

120 = 4L + 20

Subtract 20 from either side

100 = 4L

Divde either side by 4

25 = L

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3 years ago

Solve 7x - 8 = 3x + 40

Contact [7]

Answer:

$7x-8=3x+40\\7x-3x=40+8\\4x=48\\x=12$

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3 years ago

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A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

$A=(81\pi-81)\ in^2$

simplify

$A=81(\pi-1)\ in^2$

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3 years ago

June is working on an addition problem and starts with 17,985. After she adds, she still has 17,985. Which property of addition

podryga [215]

Answer:

addition

Step-by-step explanation:

idkthis sounds dumb

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3 years ago

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Find the measure of an angle whose measure is 60 degrees more than the measure of its complement

Natasha2012 [34]

Two complementary angles add up to 90 degrees. Hence, the problem can be set up and solved. Let x represents one angle and 5x represent the angle that is 5 times greater:x + 5x = 90 (simplify)6x = 90 (next divide both sides by 6 to find the value of x [the smaller angle])x = 15 (this is the smaller angle, next subtract 15 from 90 to find the greater angle)90 - 15 = 75 (this is the greater angle which is 5 times that of its complement) <span>90 take away 73...</span>

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3 years ago

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Please answer the question correctly while showing detailed working. ​

Please answer the question correctly while showing detailed working.