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Margarita [4]
3 years ago
9

Picture of question:

Mathematics
2 answers:
astraxan [27]3 years ago
8 0

Answer:

The width is 5 feet.

Step-by-step explanation:

If the length of the banner is 15 feet, and the length of the banner is 3 times the width of the banner, then set up an equation to find the width of the banner.

banner length/3 = banner width

15/3 = w

w = 5

The width of the banner is 5 feet.

avanturin [10]3 years ago
5 0
The width of the banner is 5 feet. Hope that helps.
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What is the value of -17 - (-1) + 2/3 + -1/2?
netineya [11]

Answer:

-95/6 or -15.83 repeating

Step-by-step explanation:

6 0
4 years ago
Lisa walked 8 km more than Tim. Lisa walked twice as far as Tim. How far did each walk?
valentinak56 [21]
x-\ Tim's\ distance\\\\
x+8-\ Lisa's\ distance\\\\
2x=x+8\ \ |Subtract\ x\\
2x-x=8\\
x=8\ \ -Tim\\
x+8=8+8=16- \ Lisa\\\\Lisa\ walked\ 16\ km\ and\ Tim\ 8km.

6 0
3 years ago
Find the area of the region which is inside the polar curve r=5sin(θ) but outside r=4. Round your answer to four decimal places
natka813 [3]

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be 3.75 square units.

<h3>What is an area bounded by the curve?</h3>

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The area of the region which is inside the polar curve r = 5 sinθ but outside r = 4 will be

Then the intersection point will be given as

\rm 5 \sin \theta  = 4\\\\\theta = 0.927 , 2.214

Then by the integration, we have

\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214}[ (5 \sin \theta)^2 - 4^2] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [25\sin ^2 \theta - 16] d\theta \\\\\\\rightarrow \dfrac{1}{2} \times \int _{0.927}^{2.214} [ \dfrac{25}{2}(1 - \cos 2\theta ) - 16] d\theta \\

\rightarrow \dfrac{1}{2} [\dfrac{25 \theta }{5} - \dfrac{25 \cos 2\theta }{2} - 16\theta]_{0.927}^{2.214} \\\\\\\rightarrow \dfrac{1}{2} [\dfrac{25(2.214 - 0.927) }{5} - \dfrac{25 (\cos 2\times 2.214 - \cos 2\times 0.927) }{2} - 16(2.214 - 0.927]\\

On solving, we have

\rightarrow \dfrac{1}{2} \times 7.499\\\\\rightarrow 3.75

Thus, the area of the region is 3.75 square units.

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

5 0
2 years ago
A tile is selected from seven tiles, each labeled with a different letter from the first seven letters of the alphabet.
MArishka [77]

Answer:

Step-by-step explanation:

U= {A,B,C,D,E,F,G}

X = {A, B, C, D}

Y = {A, C, E, F}

a) X or Y = {A, B, C, D} and {A, C, E, F} = {A, B, C, D, E, F}

B) X and Y = {A, B, C, D} or {A, C, E, F} = {A, C}

c) Complement of X = {A,B,C,D,E,F,G} - {A, B, C, D} = {B,D,G}

7 0
3 years ago
On a map, 2 inches represents 60 miles. What part of an inch represents 12 miles? Please show how you get you answer.
e-lub [12.9K]
C: 2/5 inches is your answer 

if 2 inches are 60 miles then 12 miles is a fifth of 2 inches.
8 0
4 years ago
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