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4 years ago

Use the expression 4s to find the perimeter of a square that has a side length of 7 centimeters.Show your work

Mathematics

1 answer:

Olenka [21]4 years ago

8 0

The perimeter of a square is always 4s as there are four sides of length s. In this case:

P=4*7=28cm

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A marble is selected at random from a jar containing 4040 red marbles, 5050 yellow marbles, and 1010 green marbles. find the t

Elenna [48]

The answer will be total green plus total red divided by all existing marbles:
(1010 + 4040) / (1010 + 4040 + 5050) = 5050 / 10100 = 1/2 = 0.5

Answer: 0.5

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4 years ago

A circle with area 9 pie has a sector with a central angle of 17/9 pie radians .

zmey [24]

Answer: 8.5π

<u>Step-by-step explanation:</u>

If I understand the question correctly, the entire circle has an Area of 9π and you are looking for the Area of the shaded region which has a central angle of $\dfrac{17}{9}\pi$

the section of the circle that is shaded is $\dfrac{\dfrac{17}{9}\pi}{2\pi}=\dfrac{17\pi}{18\pi}=\dfrac{17}{18}$

Area of the shaded region is: $9\pi \cdot \dfrac{17}{18}=\dfrac{17}{2}\pi=8.5\pi$

5 0

4 years ago

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Interest = $821.25, time = 1 year, rate = 12.42%. Find the principal

marta [7]

Step-by-step explanation:

P = l.100/t.r = $821.25×100/12.42×1 = $6612.318

hope this helps you.

4 0

2 years ago

Find the surface area of the rectangular prism. 5ft tall 5 feet long 2 feet wide

Mars2501 [29]

Answer:

46.25 feet squared

Step-by-step explanation:

base area = 5x2 = 10

you need to find how tall the faces of the prism are now. You can do this using the pythagorean theorem: a^2+b^2=c^2

5^2+2.5^2=c^2 and 5^2+1^2=c^2

(since it is a rectangular pyramid)

c= 5.60 and c= 5.01

now be can find the surface area of the 4 triangles

SA= 5.60x2 and SA= 5.01x5

SA=11.2 and SA= 25.05

add all the components (11.2, 25.05, 10) together to get the final surface area: 46.25

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3 years ago

A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet. Find the dimensions o

mr_godi [17]

Given:

A rectangle has a width that is 5 feet less than the length. The area of the rectangle is 126 square feet

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❍Let's assume, Length of rectangle x feet and width of the rectangle x - 5 feet respectively.

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To calculate the dimensions of the rectangle we will use the formula of Area of rectangle:

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$\: \: \: \: \: \: \: { \underline{ \boxed{ \pmb{ \frak{ Area_{(rectangle)} = Length \times width }}}}} \\ \\$

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$\underline {\sf{Substituting \: the \: values~ in~ above~formula: }} \\$

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$: \implies \sf \:x \times (x - 5) = 126 \\ \\ \\ : \implies \sf \:x^2 - 5x = 126 \\ \\ \\ : \implies \sf \:x^2 - 5x - 126 = 0 \\ \\ \\ : \implies \sf \:x^2 - 14x - 9x - 126 = 0 \\ \\ \\ : \implies \sf \:x (x - 14) - 9 (x + 14) = 0 \\ \\ \\ : \implies \sf \:(x - 14)(x - 9) = 0 \\ \\ \\ : \implies { \boxed { \purple{\pmb { \: x = 14 \: \: or \: \: x = -9}}} } \\ \\ \\$

We know that side can't be negative. So, x = 14 feet

Hence,

Width of rectangle = x - 5 = 9 feet
Length of rectangle = x = 14 feet

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$\\ { \underline{ \pmb{ \frak{\therefore Dimensions \: of \: rectangle \: are \: 9~ feet \: and \: 14 ~feet \: }}}}$

3 0

3 years ago

Read 2 more answers