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Deffense [45]
2 years ago
7

Eugene wants to make some blankets to donate to a homeless shelter and is trying to figure out how much fleece fabric to buy. Ea

ch blanket will be 86 inches long and 91 inches wide. He would like to make 12 blankets in total to donate. How much fleece will Eugene need for all the blankets? Show your work!
5TH GRADE
Mathematics
1 answer:
Dimas [21]2 years ago
7 0
Ohmydeardidyouwipeyourtushywithatortilla?

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If angle EOF = 26 and angle FOG = 38., then what is the measure of angle EOG? The diagram is not to scale.
sladkih [1.3K]

Answer:

EOG is 64

Step-by-step explanation:

We can have a diagram for this.

From the description in the question, we can see that the ray FO splits the angle into 2.

We can have the diagram as shown in the attachment;

So mathematically;

EOG = EOF + FOG

So EOG = 26 + 38

EOG = 64 degrees

Please check attachment for a diagram

4 0
3 years ago
Equilateral triangle ABC has an area of \sqrt{3}√ ​3 ​ ​​ . If the shaded region has an area of \piπK − \sqrt{3}√ ​3 ​ ​​ , what
Liono4ka [1.6K]

Answer:

The value of k = 4/3

Step-by-step explanation:

* Lets explain how to solve the problem

- An equilateral triangle ABC is inscribed in a circle N

- The area of the triangle is √3

- The shaded area is the difference between the area of the circle

  and the area of the equilateral triangle ABC

- The shaded are = k π - √3

- We need to find the value of k

* <u><em>At first lets find the length of the side of the Δ ABC</em></u>

∵ Δ ABC is an equilateral triangle

∴ Its area = √3/4 s² , where s is the length of its sides

∵ The area of the triangle = √3

∴ √3/4 s² = √3

- divide both sides by √3

∴ 1/4 s² = 1

- Multiply both sides by 4

∴ s² = 4 ⇒ take √ for both sides

∴ s = 2

∴ The length of the side of the equilateral triangle is 2

* <u><em>Now lets find the radius of the circle</em></u>

- In the triangle whose vertices are A , B and N the center of the circle

∵ AN and BN are radii

∴ AN = BN = r , where r is the radius of the circle

∵ The sides of the equilateral angles divides the circle into 3 equal

   arcs in measure where each arc has measure 360°/3 = 120°

∵ The measure of the central angle in a circle equal the measure

  of the its subtended arc arc

∵ ∠ANB is an central angle subtended by arc AB

∵ The measure of arc AB is 120°

∴ m∠ANB = 120°

- By using the cosine rule in Δ ANB

∵ AB = 2 , AN = BN = r , m∠ANB = 120°

∴ (2)^{2}=r^{2}+r^{2}-2(r)(r)cos(120)

∴ 4=r^{2}+r^{2}-2(r)(r)(-0.5)

∴ 4=r^{2}+r^{2}-(-r^{2})

∴ 4=r^{2}+r^{2}+r^{2}

∴ 4=3r^{2}

- Divide both sides by 3

∴ r^{2}=\frac{4}{3}

- Take square root for both sides

∴ r = 2/√3

* <u><em>Lets find the value of k</em></u>

∵ Area circle = πr²

∵ r = 2/√3

∴ Area circle = π(2/√3)² = (4/3)π

∵ Area shaded = area circle - area triangle

∵ Area triangle = √3

∴ Area shaded = (4/3) π - √3

∵ Area of the shaded part is π k - √3

- Equate the two expressions

∴ π k - √3 = (4/3) π - √3

∴ k = 4/3

* The value of k = 4/3

7 0
3 years ago
The product of eight and a number Q is at least 32
Dennis_Churaev [7]
" the product " means multiply

the product of 8 and a number Q is at least 32...

8Q > = 32 (thats greater then or equal to)
3 0
3 years ago
Read 2 more answers
The lowest temperature ever recorded in the U.S. was - 79.8 degrees Fahrenheit in Prospect Creek, Alaska. Which of the following
BabaBlast [244]

Answer:

D

Step-by-step explanation:

Negative numbers are less than zero.

3 0
3 years ago
100 cm is equal to:<br><br> 0.1 m<br> 1,000 m<br> 10 m<br> 1 m
Flura [38]

Answer:

1m

Step-by-step explanation:

hope that helps

4 0
2 years ago
Read 2 more answers
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