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elena55 [62]
3 years ago
14

Aaron bought these ingredients to make the trail mix recipe. How many pounds of trail mix will he make?

Mathematics
1 answer:
VMariaS [17]3 years ago
4 0
He will make 48 pounds of trail mix and each bag will be 8 pounds each
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PLEASE HELP ASAP ILL GIVE BRAINLIEST!!!!!<br><br>find measure of arc MK​
Gwar [14]

Answer:

Arc length MK = 15.45 units (nearest hundredth)

Arc measure = 58.24°

Step-by-step explanation:

Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)

ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:

\sf \cos(\theta)=\dfrac{A}{H}

where:

  • \theta is the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Given:

  • \theta = ∠KLM
  • A = LN = 8
  • H = KL = 15.2

\implies \sf \cos(KLM)=\dfrac{8}{15.2}

\implies \sf \angle KLM=\cos^{-1}\left(\dfrac{8}{15.2}\right)

\implies \sf \angle KLM=58.24313614^{\circ}

Therefore, the measure of arc MK = 58.24° (nearest hundredth)

\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}

Given:

  • r = 15.2
  • ∠KLM = 58.24313614°

\implies \textsf{Arc length MK}=2 \pi (15.2)\left(\dfrac{\sf \angle KLM}{360^{\circ}}\right)

\implies \textsf{Arc length MK}=\sf 15.45132428\:units

6 0
2 years ago
Arelli uses 6.9 pints of white paint and blue paint to paint her bedroom walls. 3/4 of this amount is white paint, and the rest
Reika [66]

Answer:

1.73

Step-by-step explanation:

Arelli use 6.9 pints of white and blue paints for her bedroom

3/4 of this amount is white

3/4

= 0.75×100

= 75

100-75

= 25

Amount of blue paint is

25/100×6.9

= 0.25×6.9

= 1.73

4 0
3 years ago
One number is 3 less than 4 times a second number. The difference of the first number and twice the second number is 7. What are
Nikolay [14]

Answer:

atq= let no.be x and y

x= 4y-3.......(1)

x-2y=7....(2)

subtracting both eqn

x-x+2y=4y-3-7

2y=4y-10

-2y= -10

y=5 ........second no.

first no...x=7+2y=7+10=17.......first no....

5 0
3 years ago
One fifth of a number plus three times the number is equal to 42 Moré than twice the number. Whats the number
riadik2000 [5.3K]

Answer:

35

Step-by-step explanation:

Let number = x

(1/5 of x) + (3 * x) = 42 + (2 * x)

x/5 + 3x = 42 + 2x

1/5x + 3x - 2x = 42

1 1/5x = 42

6/5 x = 42

x = 42 ÷ 6/5

x = 42 * 5/6

x = 210 / 6

x = 35

The number is 35

5 0
3 years ago
At an international conference, flags from 8 different countries will be displayed. Of these flags, 4 are from the continent of
lorasvet [3.4K]

Answer:

96 ways

Step-by-step explanation:

Let´s call flags of countries from Africa as  A₁,  A₂, A₃, A₄, and from Europe as  E₁, E₂, E₃ and E₄

We have to display the flags always beginning with one flag from Africa let´s take A₁

For that flag, we have 4! possibilities Then 4! is:

4*3*2*1  = 24

As we have 4 different Flags from Africa, we will have

4*24 = 96  possibilities

3 0
4 years ago
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